id
float64 706
1.8k
| title
stringlengths 1
343
| abstract
stringlengths 6
6.09k
| categories
stringlengths 5
125
| processed_abstract
stringlengths 2
5.96k
| tokenized_abstract
stringlengths 8
8.74k
| centroid
stringlengths 2.1k
2.17k
|
|---|---|---|---|---|---|---|
707.173
|
Can Strong Gravitational Lensing Constrain Dark Energy?
|
We discuss the ratio of the angular diameter distances from the source to the
lens, $D_{ds}$, and to the observer at present, $D_{s}$, for various dark
energy models. It is well known that the difference of $D_s$s between the
models is apparent and this quantity is used for the analysis of Type Ia
supernovae. However we investigate the difference between the ratio of the
angular diameter distances for a cosmological constant,
$(D_{ds}/D_{s})^{\Lambda}$ and that for other dark energy models,
$(D_{ds}/D_{s})^{\rm{other}}$ in this paper. It has been known that there is
lens model degeneracy in using strong gravitational lensing. Thus, we
investigate the model independent observable quantity, Einstein radius
($\theta_E$), which is proportional to both $D_{ds}/D_s$ and velocity
dispersion squared, $\sigma_v^2$. $D_{ds}/D_s$ values depend on the parameters
of each dark energy model individually. However, $(D_{ds}/D_s)^{\Lambda} -
(D_{ds}/D_{s})^{\rm{other}}$ for the various dark energy models, is well within
the error of $\sigma_v$ for most of the parameter spaces of the dark energy
models. Thus, a single strong gravitational lensing by use of the Einstein
radius may not be a proper method to investigate the property of dark energy.
However, better understanding to the mass profile of clusters in the future or
other methods related to arc statistics rather than the distances may be used
for constraints on dark energy.
|
astro-ph
|
we discuss the ratio of the angular diameter distances from the source to the lens d_ds and to the observer at present d_s for various dark energy models it is well known that the difference of d_ss between the models is apparent and this quantity is used for the analysis of type ia supernovae however we investigate the difference between the ratio of the angular diameter distances for a cosmological constant d_dsd_slambda and that for other dark energy models d_dsd_srmother in this paper it has been known that there is lens model degeneracy in using strong gravitational lensing thus we investigate the model independent observable quantity einstein radius theta_e which is proportional to both d_dsd_s and velocity dispersion squared sigma_v2 d_dsd_s values depend on the parameters of each dark energy model individually however d_dsd_slambda d_dsd_srmother for the various dark energy models is well within the error of sigma_v for most of the parameter spaces of the dark energy models thus a single strong gravitational lensing by use of the einstein radius may not be a proper method to investigate the property of dark energy however better understanding to the mass profile of clusters in the future or other methods related to arc statistics rather than the distances may be used for constraints on dark energy
|
[['we', 'discuss', 'the', 'ratio', 'of', 'the', 'angular', 'diameter', 'distances', 'from', 'the', 'source', 'to', 'the', 'lens', 'd_ds', 'and', 'to', 'the', 'observer', 'at', 'present', 'd_s', 'for', 'various', 'dark', 'energy', 'models', 'it', 'is', 'well', 'known', 'that', 'the', 'difference', 'of', 'd_ss', 'between', 'the', 'models', 'is', 'apparent', 'and', 'this', 'quantity', 'is', 'used', 'for', 'the', 'analysis', 'of', 'type', 'ia', 'supernovae', 'however', 'we', 'investigate', 'the', 'difference', 'between', 'the', 'ratio', 'of', 'the', 'angular', 'diameter', 'distances', 'for', 'a', 'cosmological', 'constant', 'd_dsd_slambda', 'and', 'that', 'for', 'other', 'dark', 'energy', 'models', 'd_dsd_srmother', 'in', 'this', 'paper', 'it', 'has', 'been', 'known', 'that', 'there', 'is', 'lens', 'model', 'degeneracy', 'in', 'using', 'strong', 'gravitational', 'lensing', 'thus', 'we', 'investigate', 'the', 'model', 'independent', 'observable', 'quantity', 'einstein', 'radius', 'theta_e', 'which', 'is', 'proportional', 'to', 'both', 'd_dsd_s', 'and', 'velocity', 'dispersion', 'squared', 'sigma_v2', 'd_dsd_s', 'values', 'depend', 'on', 'the', 'parameters', 'of', 'each', 'dark', 'energy', 'model', 'individually', 'however', 'd_dsd_slambda', 'd_dsd_srmother', 'for', 'the', 'various', 'dark', 'energy', 'models', 'is', 'well', 'within', 'the', 'error', 'of', 'sigma_v', 'for', 'most', 'of', 'the', 'parameter', 'spaces', 'of', 'the', 'dark', 'energy', 'models', 'thus', 'a', 'single', 'strong', 'gravitational', 'lensing', 'by', 'use', 'of', 'the', 'einstein', 'radius', 'may', 'not', 'be', 'a', 'proper', 'method', 'to', 'investigate', 'the', 'property', 'of', 'dark', 'energy', 'however', 'better', 'understanding', 'to', 'the', 'mass', 'profile', 'of', 'clusters', 'in', 'the', 'future', 'or', 'other', 'methods', 'related', 'to', 'arc', 'statistics', 'rather', 'than', 'the', 'distances', 'may', 'be', 'used', 'for', 'constraints', 'on', 'dark', 'energy']]
|
[-0.10927317691599264, 0.0838448230676246, -0.10179407849939068, 0.13078583767815855, -0.0854722065126978, -0.098274808802584, -0.007565049013974029, 0.36371984459352835, -0.24773967776583444, -0.35667998235200365, 0.05849309584502416, -0.267733355843725, -0.04266028351408906, 0.2153576215301333, -0.0017205783897138013, 0.029803507368185593, 0.02797891398107535, 0.04835829260852634, -0.0699400528179232, -0.217621553368403, 0.3400987073462724, 0.10731200521820755, 0.24073864002244183, 0.06072701853544019, 0.10255896995895716, -0.03391072572583252, -0.037234561713902575, 0.04487015182680437, -0.19400902605056736, 0.08393977785735886, 0.16810490867028943, 0.11681503432484107, 0.2228697153180392, -0.33492716622391816, -0.23395356783516924, 0.17494375704181644, 0.13255692539629682, 0.10854728304854545, -0.008795272306044492, -0.26149218084745146, 0.06489048697779615, -0.15296425754382637, -0.12950751443647526, 0.0027368888526299352, 0.039721944908562457, 0.05413261761122414, -0.22143950985530703, 0.15470699366609875, -0.0022010549882863556, -0.02594995097609228, -0.07995216299013266, -0.13115241957391705, -0.023142566402001602, 0.09174656715248511, 0.08326658161421659, 0.024996078958619012, 0.11548890952359546, -0.16224268990296994, -0.03646495481830483, 0.4257721405690224, -0.08593563726719114, -0.19487990668203914, 0.16932195820065848, -0.13219279510918203, -0.09060242805634425, 0.08571722759958803, 0.17285824557721757, 0.08686455560438157, -0.1459415515385675, 0.07336004614344303, -0.005953960828082056, 0.21460101879134988, 0.055712872217119666, 0.07321714383714864, 0.30351188986976607, 0.14029465406313182, 0.08186558523364633, 0.05179857379928427, -0.1447276423560482, -0.05132385330028502, -0.3039172347501348, -0.14634230016490096, -0.186263149162213, 0.030849112041306272, -0.118371031253485, -0.13381540798025127, 0.34977348163527877, 0.1331649293385571, 0.20985690251429473, 0.05125737834652734, 0.3183734957307007, 0.09346944823611582, 0.09347127215228263, 0.06141103745513912, 0.34714497592407123, 0.13645248820684386, 0.06927606115077564, -0.23395086076382424, 0.04174052489087048, 0.02879800671114448]
|
707.1731
|
A purely reflective large wide-field telescope
|
Two versions of a fast, purely reflective Paul-Baker type telescope are
discussed, each with an 8.4-m aperture, 3 deg diameter flat field and f/1.25
focal ratio.
The first version is based on a common, even asphere type of surface with
zero conic constant. The primary and tertiary mirrors are 6th order aspheres,
while the secondary mirror is an 8th order asphere (referred to here for
brevity, as the 6/8/6 configuration). The D_80 diameter of a star image varies
from 0''.18 on the optical axis up to 0''.27 at the edge of the field (9.3-13.5
mcm).
The second version of the telescope is based on a polysag surface type which
uses a polynomial expansion in the sag z, r^2 = 2R_0z - (1+b)z^2 + a_3 z^3 +
a_4 z^4 + ... + a_N z^N, instead of the common form of an aspheric surface.
This approach results in somewhat better images, with D_80 ranging from 0''.16
to 0''.23, using a lower-order 3/4/3 combination of powers for the mirror
surfaces. An additional example with 3.5-m aperture, 3.5 deg diameter flat
field, and f/1.25 focal ratio featuring near-diffraction-limited image quality
is also presented.
|
astro-ph
|
two versions of a fast purely reflective paulbaker type telescope are discussed each with an 84m aperture 3 deg diameter flat field and f125 focal ratio the first version is based on a common even asphere type of surface with zero conic constant the primary and tertiary mirrors are 6th order aspheres while the secondary mirror is an 8th order asphere referred to here for brevity as the 686 configuration the d_80 diameter of a star image varies from 018 on the optical axis up to 027 at the edge of the field 93135 mcm the second version of the telescope is based on a polysag surface type which uses a polynomial expansion in the sag z r2 2r_0z 1bz2 a_3 z3 a_4 z4 a_n zn instead of the common form of an aspheric surface this approach results in somewhat better images with d_80 ranging from 016 to 023 using a lowerorder 343 combination of powers for the mirror surfaces an additional example with 35m aperture 35 deg diameter flat field and f125 focal ratio featuring neardiffractionlimited image quality is also presented
|
[['two', 'versions', 'of', 'a', 'fast', 'purely', 'reflective', 'paulbaker', 'type', 'telescope', 'are', 'discussed', 'each', 'with', 'an', '84m', 'aperture', '3', 'deg', 'diameter', 'flat', 'field', 'and', 'f125', 'focal', 'ratio', 'the', 'first', 'version', 'is', 'based', 'on', 'a', 'common', 'even', 'asphere', 'type', 'of', 'surface', 'with', 'zero', 'conic', 'constant', 'the', 'primary', 'and', 'tertiary', 'mirrors', 'are', '6th', 'order', 'aspheres', 'while', 'the', 'secondary', 'mirror', 'is', 'an', '8th', 'order', 'asphere', 'referred', 'to', 'here', 'for', 'brevity', 'as', 'the', '686', 'configuration', 'the', 'd_80', 'diameter', 'of', 'a', 'star', 'image', 'varies', 'from', '018', 'on', 'the', 'optical', 'axis', 'up', 'to', '027', 'at', 'the', 'edge', 'of', 'the', 'field', '93135', 'mcm', 'the', 'second', 'version', 'of', 'the', 'telescope', 'is', 'based', 'on', 'a', 'polysag', 'surface', 'type', 'which', 'uses', 'a', 'polynomial', 'expansion', 'in', 'the', 'sag', 'z', 'r2', '2r_0z', '1bz2', 'a_3', 'z3', 'a_4', 'z4', 'a_n', 'zn', 'instead', 'of', 'the', 'common', 'form', 'of', 'an', 'aspheric', 'surface', 'this', 'approach', 'results', 'in', 'somewhat', 'better', 'images', 'with', 'd_80', 'ranging', 'from', '016', 'to', '023', 'using', 'a', 'lowerorder', '343', 'combination', 'of', 'powers', 'for', 'the', 'mirror', 'surfaces', 'an', 'additional', 'example', 'with', '35m', 'aperture', '35', 'deg', 'diameter', 'flat', 'field', 'and', 'f125', 'focal', 'ratio', 'featuring', 'neardiffractionlimited', 'image', 'quality', 'is', 'also', 'presented']]
|
[-0.11965150866258921, 0.08146574402900181, -0.050918185165267714, 0.0028283178910223695, -0.08529833665033434, -0.14690763425045136, -0.012045320043192998, 0.3853493254121372, -0.20474101856645555, -0.32104137138526695, 0.1400261619799155, -0.2983512138358533, -0.09236166435478013, 0.2020191770667831, -0.09107914530556376, -0.024067092379081553, 0.0056814491672515025, 0.010759833505598166, -0.07956508499449172, -0.2495440504642593, 0.26923499167515336, 0.07330811848649545, 0.2407667038904366, -0.026413844414265815, 0.11611202538097645, 0.009075537345656273, 0.008853213461694744, -0.0004302628790843958, -0.14088954658926292, 0.10335057035567355, 0.16774849745308149, 0.040849204740808005, 0.19405241060665265, -0.3290939929350516, -0.09196366862220279, 0.03307611362792888, 0.10870354433542664, 0.03264570927660449, -0.04507035560745451, -0.23859439665546356, 0.09639900538144307, -0.1218702766497088, -0.18112655465180674, 0.07161728799932421, 0.00913090137159715, 0.023540394808531418, -0.2512225938413692, 0.043622979650761944, 0.02952305586892838, 0.120316135149849, -0.0411429146244217, -0.18043113983167852, -0.043502821248961286, 0.055112747375532394, -0.006422569746372558, 0.13696143047694684, 0.08520285184574077, -0.10478359573299728, -0.05865267768112869, 0.39938746137533987, -0.07632198087978939, -0.11556772729066217, 0.1417457613078509, -0.148818884129073, -0.0846459169077587, 0.19689510871082713, 0.1727594436214721, 0.1176509328297008, -0.09944363869332029, 0.07312478037652333, 0.0022428343283001986, 0.24952704113208304, 0.1222964533378428, -0.004138343065114176, 0.22636977559492244, 0.14666204779977138, 0.06853317070915495, 0.0977175334576349, -0.21137747082380462, -0.012043471837489956, -0.29102785647833607, -0.15195787974993705, -0.14409577952155916, 0.07451422222348003, -0.16297173449260874, -0.1471133353530645, 0.35215775322795206, 0.036253749308081624, 0.19247617070973552, 0.06232332746237832, 0.287147931375746, 0.06082063723858025, 0.10318322247288869, 0.031326061037716346, 0.2421930300513819, 0.14722114679335202, 0.07589258004037801, -0.1674492391844814, -0.04742710263751389, 0.07910192001079562]
|
707.1732
|
The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The
Limit-Circle Case
|
We present a technique for reconstructing a semi-infinite Jacobi operator in
the limit circle case from the spectra of two different self-adjoint
extensions. Moreover, we give necessary and sufficient conditions for two real
sequences to be the spectra of two different self-adjoint extensions of a
Jacobi operator in the limit circle case.
|
math-ph math.MP
|
we present a technique for reconstructing a semiinfinite jacobi operator in the limit circle case from the spectra of two different selfadjoint extensions moreover we give necessary and sufficient conditions for two real sequences to be the spectra of two different selfadjoint extensions of a jacobi operator in the limit circle case
|
[['we', 'present', 'a', 'technique', 'for', 'reconstructing', 'a', 'semiinfinite', 'jacobi', 'operator', 'in', 'the', 'limit', 'circle', 'case', 'from', 'the', 'spectra', 'of', 'two', 'different', 'selfadjoint', 'extensions', 'moreover', 'we', 'give', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'two', 'real', 'sequences', 'to', 'be', 'the', 'spectra', 'of', 'two', 'different', 'selfadjoint', 'extensions', 'of', 'a', 'jacobi', 'operator', 'in', 'the', 'limit', 'circle', 'case']]
|
[-0.15045032377999562, 0.07957528214543484, -0.06463199510024144, 0.09443515720060812, -0.05225560842350555, -0.1457131016605462, -0.04013080287796374, 0.370821168502936, -0.2633527202818256, -0.19246672831762296, 0.14855812292528123, -0.2949256217107177, -0.13607704026911122, 0.2115844009229197, -0.0514850145778977, 0.08143369756782284, 0.10265429590183955, 0.0637594756956857, -0.13392273392170095, -0.19930888493903554, 0.408318055793643, -0.04303127038292587, 0.16925209472314096, 0.06037715500077376, 0.06236397211726468, 0.02512701890932826, 0.01728269756467153, -0.0509218956845311, -0.11679484281474008, 0.08312810056556302, 0.24804277209421763, 0.09380420687823342, 0.20940043970655936, -0.42117728837407553, -0.1414040150747706, 0.2165617709621214, 0.15638556368111706, 0.03974346101928789, -0.021516168078121085, -0.24603933123692584, 0.05742247341773831, -0.13762369938194752, -0.16720316086251003, -0.049814917505360566, 0.005861682553166667, 0.008644345950765105, -0.32868612514665496, 0.05707306332456378, 0.09218524443881157, 0.10047063213558151, -0.11672808118880941, -0.0962568187656311, 0.018286745708722334, 0.12430529433410041, -0.01090627840648477, -0.10838476050860034, 0.054523402448886864, -0.005036019147015535, -0.08446757896588399, 0.3551417229912029, -0.12419734417031017, -0.28149758096641075, 0.13809117212748298, -0.17468814383475825, -0.17090422181018555, 0.05580621336300213, 0.10560910862225753, 0.19956194301350758, -0.15912613962203837, 0.13812352561888894, -0.0863411624987538, 0.061943455026126824, 0.11346452566795051, 0.031440985890535206, 0.14265552403118748, 0.04458263804777884, 0.12490750383585691, 0.18662202491451843, -0.02339685443215645, -0.08858456276357174, -0.3611959323573571, -0.14143776442282474, -0.14373764467354005, 0.048222944485202715, -0.1320408808261653, -0.20785706379235938, 0.4944824735419108, 0.14434706813727433, 0.2536771258052725, 0.08082522777840495, 0.23915466329512688, 0.15539106995632979, 0.006725463364721061, 0.008834238217857022, 0.1572857956903485, 0.21725876337418762, 0.09702999087480399, -0.15162769491479805, -0.11398521220633903, 0.14656918194109145]
|
707.1733
|
Cyclotomic $q$-Schur algebras associated to the Ariki-Koike algebra
|
Let $S$ be the cyclotomic $q$-Schur algebra associated to the Ariki-Koike
algebra $H_{n,r}$ of rank $n$, introduced by Dipper-James-Mathas. For each $p =
(r_1, ..., r_g)$ such that $r_1 + ... + r_g = r$, we define a subalgebra $S^p$
of $S$ and its quotient algebra $\bar S^p$. It is shown that $S^p$ is a
standardly based algebra and $\bar S^p$ is a cellular algebra. By making use of
these algebras, we show that certain decomposition numbers for $S$ can be
expressed as a product of decomposition numbers for cyclotomic $q$-Schur
algebras associated to smaller Ariki_koike algebras $H_{n_k,r_k}$.
|
math.RT math.QA
|
let s be the cyclotomic qschur algebra associated to the arikikoike algebra h_nr of rank n introduced by dipperjamesmathas for each p r_1 r_g such that r_1 r_g r we define a subalgebra sp of s and its quotient algebra bar sp it is shown that sp is a standardly based algebra and bar sp is a cellular algebra by making use of these algebras we show that certain decomposition numbers for s can be expressed as a product of decomposition numbers for cyclotomic qschur algebras associated to smaller ariki_koike algebras h_n_kr_k
|
[['let', 's', 'be', 'the', 'cyclotomic', 'qschur', 'algebra', 'associated', 'to', 'the', 'arikikoike', 'algebra', 'h_nr', 'of', 'rank', 'n', 'introduced', 'by', 'dipperjamesmathas', 'for', 'each', 'p', 'r_1', 'r_g', 'such', 'that', 'r_1', 'r_g', 'r', 'we', 'define', 'a', 'subalgebra', 'sp', 'of', 's', 'and', 'its', 'quotient', 'algebra', 'bar', 'sp', 'it', 'is', 'shown', 'that', 'sp', 'is', 'a', 'standardly', 'based', 'algebra', 'and', 'bar', 'sp', 'is', 'a', 'cellular', 'algebra', 'by', 'making', 'use', 'of', 'these', 'algebras', 'we', 'show', 'that', 'certain', 'decomposition', 'numbers', 'for', 's', 'can', 'be', 'expressed', 'as', 'a', 'product', 'of', 'decomposition', 'numbers', 'for', 'cyclotomic', 'qschur', 'algebras', 'associated', 'to', 'smaller', 'ariki_koike', 'algebras', 'h_n_kr_k']]
|
[-0.20741626448386039, 0.0846141535995735, -0.07593710671903359, 0.07072316509438678, -0.11007025220638347, -0.19284945824183525, -0.06633711396199134, 0.3282118268724945, -0.4309024409287506, -0.1576455047974984, 0.13106385093803208, -0.20127406699789896, -0.13874387613032013, 0.18172898883931338, -0.10816049384884537, -0.11361235952483387, 0.04236326205233733, 0.14893853853767117, -0.09897350377351459, -0.21814315805418624, 0.3373932435953369, -0.008583674376778719, 0.16834795267269428, -0.0441308394436621, 0.06250292025506496, 0.03178936785811352, 0.01978133977390826, 5.26530331828528e-05, -0.18425143793501775, 0.12839993580968845, 0.3319590003540119, 0.1610245062245263, 0.2361954065091494, -0.34491480227766763, -0.04529134517199256, 0.19264262077502078, 0.2101382850565844, -0.10208662149185936, 0.04760617428562707, -0.21259902237604061, 0.17473165116583309, -0.28923115676475897, -0.09599921112466189, -0.052792401089229515, 0.19068368224349494, -0.02662040183527602, -0.343131653426422, -0.0011488580455382665, 0.03662766546217932, 0.16546719349506828, -0.04790585509682488, -0.2008704721979383, -0.13683706421094635, -0.008788495032220251, -0.07866600456699314, 0.054588465992775226, 0.15372398840263485, -0.007686070187224282, -0.16184511203318835, 0.35562624310453733, 0.0009766590367588732, -0.21084101804428632, 0.08829812679905444, -0.1892539642802957, -0.12646298677557044, 0.06556269851409727, 0.03480193643934197, 0.10886650906597627, 0.03863818027699987, 0.2218049628750628, -0.1637893417229255, 0.04710152495859398, 0.1315764993429184, -0.030651925664602054, 0.14543259547208437, 0.05759361423034635, 0.023627887485134932, 0.1083121194374851, 0.03745065191631309, 0.0485735133704212, -0.34237544397926994, -0.1990542683026029, -0.11150825986017783, 0.17073006630978652, -0.12626678483631823, -0.12479622730461415, 0.3402050076259507, 0.09220764997622205, 0.1766322508557803, 0.10630164390636815, 0.17304213879009087, 0.11097956246877504, 0.18957683752394386, 0.05079008786318203, 0.04643992842692468, 0.3313960225269612, -0.049693269920276686, -0.14833905855711135, -0.05693332114153438, 0.23765246867616144]
|
707.1734
|
Kinematic fast cosmic dynamos in non-inflationary phases of ellipsoidal
universe
|
Cosmic kinematic fast dynamo is found in non-inflationary phases of an
ellipsoidal anisotropic cosmological metric background solution of Einstein
field equations of general relativity. The magnetic field is amplified inside
the universe and spatially periodically. A finite resistivity is assumed, and a
nonsingular flow velocity is aligned with the magnetic field which is
orthogonal to a plane which is analog to a galactic plane in astrophysics.
Magnetic field components is stretched along the z-direction and a cosmic
dynamo is created in the spirit of Zeldovich stretch, twist and fold (STF)
dynamo generation mechanism. In the inflationary phase of the planar symmetric
universe, the primordial magnetic field decays and the galactic plane expands
as a de Sitter $(2+1)-spacetime$ and the eccentricity of the ellipsoidal
universe, tends to vanish with inflation. We may conclude that, as far as the
present model is concerned, anti-dynamos are obtained in inflationary phases.
|
gr-qc
|
cosmic kinematic fast dynamo is found in noninflationary phases of an ellipsoidal anisotropic cosmological metric background solution of einstein field equations of general relativity the magnetic field is amplified inside the universe and spatially periodically a finite resistivity is assumed and a nonsingular flow velocity is aligned with the magnetic field which is orthogonal to a plane which is analog to a galactic plane in astrophysics magnetic field components is stretched along the zdirection and a cosmic dynamo is created in the spirit of zeldovich stretch twist and fold stf dynamo generation mechanism in the inflationary phase of the planar symmetric universe the primordial magnetic field decays and the galactic plane expands as a de sitter 21spacetime and the eccentricity of the ellipsoidal universe tends to vanish with inflation we may conclude that as far as the present model is concerned antidynamos are obtained in inflationary phases
|
[['cosmic', 'kinematic', 'fast', 'dynamo', 'is', 'found', 'in', 'noninflationary', 'phases', 'of', 'an', 'ellipsoidal', 'anisotropic', 'cosmological', 'metric', 'background', 'solution', 'of', 'einstein', 'field', 'equations', 'of', 'general', 'relativity', 'the', 'magnetic', 'field', 'is', 'amplified', 'inside', 'the', 'universe', 'and', 'spatially', 'periodically', 'a', 'finite', 'resistivity', 'is', 'assumed', 'and', 'a', 'nonsingular', 'flow', 'velocity', 'is', 'aligned', 'with', 'the', 'magnetic', 'field', 'which', 'is', 'orthogonal', 'to', 'a', 'plane', 'which', 'is', 'analog', 'to', 'a', 'galactic', 'plane', 'in', 'astrophysics', 'magnetic', 'field', 'components', 'is', 'stretched', 'along', 'the', 'zdirection', 'and', 'a', 'cosmic', 'dynamo', 'is', 'created', 'in', 'the', 'spirit', 'of', 'zeldovich', 'stretch', 'twist', 'and', 'fold', 'stf', 'dynamo', 'generation', 'mechanism', 'in', 'the', 'inflationary', 'phase', 'of', 'the', 'planar', 'symmetric', 'universe', 'the', 'primordial', 'magnetic', 'field', 'decays', 'and', 'the', 'galactic', 'plane', 'expands', 'as', 'a', 'de', 'sitter', '21spacetime', 'and', 'the', 'eccentricity', 'of', 'the', 'ellipsoidal', 'universe', 'tends', 'to', 'vanish', 'with', 'inflation', 'we', 'may', 'conclude', 'that', 'as', 'far', 'as', 'the', 'present', 'model', 'is', 'concerned', 'antidynamos', 'are', 'obtained', 'in', 'inflationary', 'phases']]
|
[-0.2224919154908355, 0.2125204830353303, -0.08910957357386919, 0.07710044312191974, -0.13044460205846045, -0.06130008331869971, -0.10664334668449368, 0.3307846053774558, -0.24032289890113145, -0.2467323152527009, 0.054638633814685, -0.2154683773979953, -0.08405183891650952, 0.18082858955213316, -0.002805888031953021, -0.033511405539609594, -0.029360844913155656, 0.03371870228446612, -0.011496881521801299, -0.23141609830462873, 0.30289424518250846, 0.10589583429638678, 0.2454258200635955, -0.06448762666765753, 0.08250770144394204, -0.08008638845616314, 0.0020582720203554793, 0.07196406704973277, -0.1508604913700491, 0.005960965210138118, 0.17816696975903254, 0.08402624616179334, 0.17597820330411196, -0.41121015027930885, -0.23197880020199266, 0.09075435851891972, 0.19576738356638138, 0.17138899113721381, -0.06413836450290496, -0.25986093449827335, 0.03895831912156347, -0.11156017400566744, -0.2023186019417664, -0.01326019980957451, 0.016626187986120172, -0.019094719274020563, -0.2657283939650818, 0.11990626730433065, 0.05485344876528061, 0.04591901702104672, -0.11495380833974644, -0.035312652930757665, -0.05013675448462392, 0.011628139851780685, 0.12260595418445842, 0.159681843236497, 0.18610623993947528, -0.13288809449973274, -0.0670853665334568, 0.41751336858748167, -0.11544129347798657, -0.13015453173613098, 0.0995392933749428, -0.20150298747606415, -0.09918833745656254, 0.14861791917881992, 0.14587199578599125, 0.10714133486968197, -0.1061078166433256, 0.16249928179544665, 0.02026027429223775, 0.134104326803537, 0.09550924727705958, -0.05015334360220163, 0.33967745907713137, 0.12211540298638483, 0.06796776146857404, 0.12571656677795395, -0.10160021861931505, -0.09346377456637278, -0.3189326398623214, -0.1147200524271147, -0.15772525493090667, 0.08501831825490888, -0.1563788483245059, -0.2586310519725212, 0.36640763223451905, 0.07157734384744711, 0.15218913844429366, -0.018478132349005198, 0.30672830474652246, 0.049071483487065574, 0.010325354592530185, 0.11670571739932088, 0.338165424730667, 0.21497736384371322, 0.16577842910152107, -0.2213511863541598, -0.008597065701009068, 0.06122313846821246]
|
707.1735
|
Finite Anomalous Magnetic Moment in the Gauge-Higgs Unification
|
We show that the anomalous magnetic moment of fermion in the gauge-Higgs
unification is finite in any spacetime dimensions, which is a new predictive
physical observable similar to the Higgs mass.
|
hep-ph
|
we show that the anomalous magnetic moment of fermion in the gaugehiggs unification is finite in any spacetime dimensions which is a new predictive physical observable similar to the higgs mass
|
[['we', 'show', 'that', 'the', 'anomalous', 'magnetic', 'moment', 'of', 'fermion', 'in', 'the', 'gaugehiggs', 'unification', 'is', 'finite', 'in', 'any', 'spacetime', 'dimensions', 'which', 'is', 'a', 'new', 'predictive', 'physical', 'observable', 'similar', 'to', 'the', 'higgs', 'mass']]
|
[-0.13843262940645218, 0.26978752443627, -0.07876764391098291, 0.17152199405245483, -0.12990554169781746, -0.14892970264378574, -0.028316306872218245, 0.33396561744232334, -0.17055175986681734, -0.26058547904775026, 0.020069289947352974, -0.1787804932964425, -0.09326907307390243, 0.10800532816398528, -0.03769739729262168, 0.041156486593066685, -0.06507076881074857, 0.09845038966065453, -0.1059914133887017, -0.27454249065129027, 0.3571283269313074, -0.020312720729458715, 0.2496339975285434, 0.09378533648146738, 0.14211850234818074, -0.07651819942158557, 0.07615550204871162, 0.0066503788675031355, -0.07094286944864565, 0.09846795962056926, 0.16394264383181448, 0.01360871222230696, 0.1317461986214884, -0.3016402068577947, -0.21712079403861875, 0.13454388493611927, 0.15501060240691708, 0.13483602578766765, -0.08453848525401085, -0.2912952138651763, 0.11836595885876205, -0.19075500289158476, -0.14678162708878517, -0.0817548158548532, -0.03040122297862845, -0.1337275121120676, -0.3720458272484041, 0.08095851822215464, 0.011206652969121933, 0.052063568495213985, -0.06254040784833412, -0.09602789794124904, -0.05030510622647501, 0.04693402072054244, 0.1667429521349409, 0.03320849724414368, 0.11982149246238893, -0.1648384250940815, -0.19248729131575074, 0.41544832565611406, -0.09999006554003685, -0.20462424974257667, 0.18295118332870544, -0.2589834429691696, -0.19935036318436747, 0.08780414597581952, 0.1820249818265438, 0.0730601716335983, -0.168454370311191, 0.20275086266619544, -0.11511794303453737, 0.1815727090222701, -0.001926819373282694, 0.04128654074344423, 0.2921348191317051, 0.21275535418141273, 0.06920908627310587, 0.06401273343832262, -0.04031706829705546, -0.09672212642767737, -0.4120171053274985, -0.20589880933684687, -0.15163737703715602, 0.11183491223041088, -0.19198735325687355, -0.17003963983828022, 0.39034108577236054, 0.20717722601107053, 0.20047479014723532, -0.01707615486661633, 0.2822025041621659, 0.1271208342945864, 0.12716315698719793, 0.05038133332686078, 0.2809221382823683, 0.10231794140511943, 0.0938678975066831, -0.2929248620846098, -0.03386091697780836, 0.13461546913810796]
|
707.1736
|
Spiral Wave Solutions of One-dimensional Ginzburg-Landau Equation By
Extended F-expansion Method
|
The one-dimensional Ginzburg-Landau (GL) Equation is considered. We use the
recently developed extended F-expansion method to obtain spiral wave solution
of one-dimensional GL Equation.
|
nlin.SI
|
the onedimensional ginzburglandau gl equation is considered we use the recently developed extended fexpansion method to obtain spiral wave solution of onedimensional gl equation
|
[['the', 'onedimensional', 'ginzburglandau', 'gl', 'equation', 'is', 'considered', 'we', 'use', 'the', 'recently', 'developed', 'extended', 'fexpansion', 'method', 'to', 'obtain', 'spiral', 'wave', 'solution', 'of', 'onedimensional', 'gl', 'equation']]
|
[-0.15452938371648392, -0.035922750170963504, -0.12906237614030638, 0.08503783931276605, -0.21563769900240004, -0.14386481659797332, -0.02239021115625898, 0.27128871406118077, -0.22259381972253323, -0.2131790705025196, 0.07678759491924818, -0.21965568947295347, -0.2186826163281997, 0.1603692057542503, 0.09243894694373012, 0.1553656713416179, -0.005528045779404541, -0.0003343808154265086, -0.07821119859969865, -0.2070032515718291, 0.28079015703406185, -0.1000450128922239, 0.24665886357737085, -0.07752479861179988, 0.09581982096036275, 0.016498756168099742, 0.06495230780759205, 0.002409089201440414, -0.33842551223157596, 0.04916431371627065, 0.23428815960263213, -0.023985040238282334, 0.21587952940414348, -0.4452734363730997, -0.3733709877900158, 0.004618360971411069, 0.19616935634985566, 0.16329561981062093, 0.015745080697039764, -0.3953467309474945, 0.044727699093831084, -0.22763864841059936, -0.3216396836408724, -0.060024384098748364, 0.02393704222049564, 0.050299546138073005, -0.25263148499652743, 0.1294692287531992, 0.017123098359055195, -0.06248321908060461, -0.1505097570285822, -0.07297479663975537, -0.02043884639473011, -0.08818931474039952, -0.01872496223950293, 0.045500142771440245, 0.006505179665206621, -0.028998429654166102, -0.04172477941028774, 0.367057707781593, -0.16139106929767877, -0.2324636698079606, 0.14610139920841902, -0.07125990061710279, -0.023310073496152956, 0.16780577165385088, 0.10608373077896734, 0.16702435972789922, -0.22661806064813086, 0.1552950749367786, -0.0931621061166273, 0.15116630360474423, 0.0595126241290321, -0.09660407004412264, 0.07829960497717063, 0.23309548245742917, 0.03007509986249109, 0.14716173859778792, -0.1169922513848481, -0.15253816063826284, -0.2482503231925269, -0.1873030194886572, -0.19848061135659614, 0.028063003402470105, 0.009381024166941643, -0.20157458493486047, 0.32521036251758534, 0.19750311908622584, 0.03380676886687676, -0.012516758715113005, 0.1727184232828828, 0.3168868717815106, 0.022238814737647772, 0.0731847735781533, 0.19289529882371426, 0.27578277489131625, 0.10083478582479681, -0.25378319808320765, -0.09371243589945759, 0.22411671789207807]
|
707.1737
|
Conformal invariant powers of the Laplacian, Fefferman-Graham ambient
metric and Ricci gauging
|
The hierarchy of conformally invariant k-th powers of the Laplacian acting on
a scalar field with scaling dimensions $\Delta_{(k)}=k-d/2$, k=1,2,3 as
obtained in the recent work [1] is rederived using the Fefferman-Graham d+2
dimensional ambient space approach. The corresponding mysterious "holographic"
structure of these operators is clarified. We explore also the d+2 dimensional
ambient space origin of the Ricci gauging procedure proposed by A. Iorio, L.
O'Raifeartaigh, I. Sachs and C. Wiesendanger as another method of constructing
the Weyl invariant Lagrangians. The corresponding \emph{gauged} ambient metric,
Fefferman-Graham expansion and extended Penrose-Brown-Henneaux transformations
are proposed and analyzed.
|
hep-th
|
the hierarchy of conformally invariant kth powers of the laplacian acting on a scalar field with scaling dimensions delta_kkd2 k123 as obtained in the recent work 1 is rederived using the feffermangraham d2 dimensional ambient space approach the corresponding mysterious holographic structure of these operators is clarified we explore also the d2 dimensional ambient space origin of the ricci gauging procedure proposed by a iorio l oraifeartaigh i sachs and c wiesendanger as another method of constructing the weyl invariant lagrangians the corresponding emphgauged ambient metric feffermangraham expansion and extended penrosebrownhenneaux transformations are proposed and analyzed
|
[['the', 'hierarchy', 'of', 'conformally', 'invariant', 'kth', 'powers', 'of', 'the', 'laplacian', 'acting', 'on', 'a', 'scalar', 'field', 'with', 'scaling', 'dimensions', 'delta_kkd2', 'k123', 'as', 'obtained', 'in', 'the', 'recent', 'work', '1', 'is', 'rederived', 'using', 'the', 'feffermangraham', 'd2', 'dimensional', 'ambient', 'space', 'approach', 'the', 'corresponding', 'mysterious', 'holographic', 'structure', 'of', 'these', 'operators', 'is', 'clarified', 'we', 'explore', 'also', 'the', 'd2', 'dimensional', 'ambient', 'space', 'origin', 'of', 'the', 'ricci', 'gauging', 'procedure', 'proposed', 'by', 'a', 'iorio', 'l', 'oraifeartaigh', 'i', 'sachs', 'and', 'c', 'wiesendanger', 'as', 'another', 'method', 'of', 'constructing', 'the', 'weyl', 'invariant', 'lagrangians', 'the', 'corresponding', 'emphgauged', 'ambient', 'metric', 'feffermangraham', 'expansion', 'and', 'extended', 'penrosebrownhenneaux', 'transformations', 'are', 'proposed', 'and', 'analyzed']]
|
[-0.15323036724841724, 0.1327914218818869, -0.06989689703570098, 0.06937849316846138, -0.10220705668982719, -0.15622067773934975, -0.06453929280722014, 0.329982258179175, -0.19424461032093693, -0.24045553567108288, 0.09219045155826876, -0.2390497094320674, -0.18536413602671156, 0.10818767806975751, -0.009350212651395028, 0.04003196657304802, -0.051597846586818014, 0.09155348994298487, -0.1467273473108728, -0.2590931689201464, 0.4143470341780333, 0.0533965982656966, 0.27590254143441234, 0.01239144859174567, 0.14190019113362157, -0.05224905860540207, -0.04931273589834511, 0.047012286064820864, -0.16005504986030922, 0.13332394275173384, 0.18408380019834006, 0.06830712867980843, 0.13295588227770022, -0.34118765648654714, -0.24578301122622384, 0.0797139222393193, 0.1276894918823194, 0.03506604972125221, -0.013755435435732285, -0.3475646220037453, 0.044885815942399605, -0.14687778015610992, -0.18382618211457627, -0.130561953580748, 0.008566948859351537, -0.10177373543622033, -0.22124468186001484, 0.0724629285637044, 0.07826890667239504, 0.04983919259581354, -0.0995116348138019, -0.11324810831036458, -0.059413173195895966, 0.04392198497249234, 0.05893265764899953, 0.05514707520443906, 0.11320068867957239, -0.06872622038551321, -0.1013255682385837, 0.37640922140049676, -0.1110357111019473, -0.2246394734328953, 0.14158883969229397, -0.1297594840658368, -0.13081261955742393, 0.0749958137861423, 0.11325810386008152, 0.15445362587249087, -0.12798519034291647, 0.2317889652206182, -0.03082254120669458, 0.054747407589989, 0.13449372090549477, 0.016984015271338002, 0.10448958516441366, 0.07462736173603003, 0.04121013156949512, 0.14602717474323287, -0.013534175517458108, -0.07133559026424924, -0.3967263471855912, -0.19321834124619722, -0.19433884295604884, 0.11910647240978095, -0.17796154473410664, -0.11881138814327817, 0.35772839919113186, 0.07499424429605364, 0.2045800091889036, 0.025223624066359574, 0.2448606459493999, 0.11861315491529162, 0.06459596477854516, 0.11212615285228977, 0.1813792844292938, 0.19063499200618475, 0.10447580240646838, -0.20719618021550598, -0.1088426733196723, 0.2319803031221513]
|
707.1738
|
Fields of invariants of finite linear groups
|
The survey is devoted to the rationality question of finite linear groups. We
concentrate on lower-dimensional cases, especially on the case of dimension
four.
|
math.AG
|
the survey is devoted to the rationality question of finite linear groups we concentrate on lowerdimensional cases especially on the case of dimension four
|
[['the', 'survey', 'is', 'devoted', 'to', 'the', 'rationality', 'question', 'of', 'finite', 'linear', 'groups', 'we', 'concentrate', 'on', 'lowerdimensional', 'cases', 'especially', 'on', 'the', 'case', 'of', 'dimension', 'four']]
|
[-0.15471935563255101, 0.02417602021402369, -0.0007863730813066164, 0.07569516002452777, -0.08632847743380505, -0.06898811964007716, 0.031648834235966206, 0.3221859303303063, -0.20776173458822692, -0.20185466824720302, 0.17324318645114545, -0.2987851856354003, -0.1321060643143331, 0.22731972792341062, -0.09382196546842654, 0.017618644051253796, 0.0030794618651270866, 0.09559424601805706, -0.02058517575884859, -0.45520668973525363, 0.4670770348360141, -0.020660193850441527, 0.2897561217347781, 0.031181665680681665, 0.07373997149989009, 0.029583369847387075, -0.11114701714056234, 0.019540369622745857, -0.1627207106600205, 0.16139573654315123, 0.28319259981314343, 0.07757511394447647, 0.30975556032111246, -0.38223737811980146, -0.16963647371934107, 0.15176776377484202, 0.12680599535815418, 0.08978548145387322, 0.01965483288707522, -0.2291405386349652, 0.07065716750609378, -0.09770661206372704, -0.13312281361747105, -0.03774732335781058, 0.0007698032422922552, -0.04551640277107557, -0.1369212284528961, 0.02011246179851393, 0.10530441921825211, 0.15969534447261444, -0.08549544541165233, -0.13421659513066211, 0.019497087526057538, 0.13046912293551335, 0.07650114412535913, -0.08633366819897977, 0.06017009087372571, -0.15990288431445757, -0.04568984149955213, 0.43977566216684255, -0.028515317128039896, -0.2515077233935396, 0.2303296166161696, -0.1895853189053014, -0.18610482681348609, 0.05572945179301314, 0.24722119141370058, 0.21566575245621303, -0.04219783357499788, 0.2122612316161394, -0.10397896570308755, 0.13219867437146604, 0.05882819200633094, -0.006778115503645192, 0.13125867986430725, 0.1834926720863829, 0.13404708178616906, 0.19620883837342262, -0.05351508181774989, -0.10186957552408178, -0.31973381123195094, -0.1092557726612237, -0.12167438864707947, 0.0890282445664828, -0.015644718271990616, -0.1320070292276796, 0.4331105306434135, 0.08936554286628962, 0.18240084011146487, 0.08128058270085603, 0.2153335763141513, 0.05571374879218638, 0.00018538488075137138, -0.015043955626121411, 0.20021277759224176, 0.16783177743976316, 0.020108146243728697, -0.1949071340301695, -0.01823907917908703, 0.1569007580789427]
|
707.1739
|
On slow-fading non-separable correlation MIMO systems
|
In a frequency selective slow-fading channel in a MIMO system, the channel
matrix is of the form of a block matrix. We propose a method to calculate the
limit of the eigenvalue distribution of block matrices if the size of the
blocks tends to infinity. We will also calculate the asymptotic eigenvalue
distribution of $HH^*$, where the entries of $H$ are jointly Gaussian, with a
correlation of the form $E[h_{pj}\bar h_{qk}]= \sum_{s=1}^t
\Psi^{(s)}_{jk}\hat\Psi^{(s)}_{pq}$ (where $t$ is fixed and does not increase
with the size of the matrix). We will use an operator-valued free probability
approach to achieve this goal. Using this method, we derive a system of
equations, which can be solved numerically to compute the desired eigenvalue
distribution.
|
cs.IT math.IT
|
in a frequency selective slowfading channel in a mimo system the channel matrix is of the form of a block matrix we propose a method to calculate the limit of the eigenvalue distribution of block matrices if the size of the blocks tends to infinity we will also calculate the asymptotic eigenvalue distribution of hh where the entries of h are jointly gaussian with a correlation of the form eh_pjbar h_qk sum_s1t psis_jkhatpsis_pq where t is fixed and does not increase with the size of the matrix we will use an operatorvalued free probability approach to achieve this goal using this method we derive a system of equations which can be solved numerically to compute the desired eigenvalue distribution
|
[['in', 'a', 'frequency', 'selective', 'slowfading', 'channel', 'in', 'a', 'mimo', 'system', 'the', 'channel', 'matrix', 'is', 'of', 'the', 'form', 'of', 'a', 'block', 'matrix', 'we', 'propose', 'a', 'method', 'to', 'calculate', 'the', 'limit', 'of', 'the', 'eigenvalue', 'distribution', 'of', 'block', 'matrices', 'if', 'the', 'size', 'of', 'the', 'blocks', 'tends', 'to', 'infinity', 'we', 'will', 'also', 'calculate', 'the', 'asymptotic', 'eigenvalue', 'distribution', 'of', 'hh', 'where', 'the', 'entries', 'of', 'h', 'are', 'jointly', 'gaussian', 'with', 'a', 'correlation', 'of', 'the', 'form', 'eh_pjbar', 'h_qk', 'sum_s1t', 'psis_jkhatpsis_pq', 'where', 't', 'is', 'fixed', 'and', 'does', 'not', 'increase', 'with', 'the', 'size', 'of', 'the', 'matrix', 'we', 'will', 'use', 'an', 'operatorvalued', 'free', 'probability', 'approach', 'to', 'achieve', 'this', 'goal', 'using', 'this', 'method', 'we', 'derive', 'a', 'system', 'of', 'equations', 'which', 'can', 'be', 'solved', 'numerically', 'to', 'compute', 'the', 'desired', 'eigenvalue', 'distribution']]
|
[-0.1354818135337985, 0.08560212941792207, -0.09725282614564766, 0.01342102346293952, -0.03608341126945679, -0.1294708009161379, 0.047952759743708634, 0.3574947012993305, -0.2915034690932573, -0.2314852226647022, 0.12080186049089484, -0.2643347507909588, -0.15611658634860878, 0.08869679020515278, -0.04347421414745243, 0.08776898592224587, 0.054345388466026635, 0.09583707018957838, -0.10820588843400955, -0.2125945280427518, 0.3204366183758754, 0.05981817690898543, 0.2510730939309882, 0.022815777333048376, 0.10311511422801034, 0.011758693910340536, -0.0075122900064224785, -0.029212292964043825, -0.11156368472248963, 0.11010829600829469, 0.2438830062787494, 0.13923869386477314, 0.2714459758737813, -0.37936944073956946, -0.15046635259590718, 0.15447099763576103, 0.2023848150178547, 0.11175359896809349, 0.01658909776268284, -0.22462855438580331, 0.14402552358806134, -0.19682336792997693, -0.16221930952337774, -0.013170201880047503, -0.016025009428393907, 0.020304827942796377, -0.3786181560717523, 0.04944697472282038, 0.044020630071020646, -0.04736933463617511, -0.015709865222806516, -0.13996725484283398, 0.04477458348821687, 0.14081685637002406, 0.01061104593353103, -0.02873378721997142, 0.10492458048722018, -0.08956058197452323, -0.03518759333680424, 0.3457757937681416, -0.10489406169837584, -0.2821023401642299, 0.10348351238315683, -0.17743876278400422, -0.08420690173769127, 0.11932222688489634, 0.2263900444559429, 0.1305069184254693, -0.15695932561268464, 0.11604042876785135, -0.06530694609264964, 0.18043655272087325, 0.03369285433107744, 0.022384575673419498, 0.13679497902807983, 0.1252545672185395, 0.10362258572941241, 0.17715446714858485, -0.12167994561402694, -0.07413195154589156, -0.2982728250972603, -0.19384334156208713, -0.26906423112782446, 0.07674991850267954, -0.10698537672249823, -0.1785912308437021, 0.3950659127622519, 0.15064527492403337, 0.23443738664297953, 0.11338164622227297, 0.2629240339429563, 0.19691149308143752, 0.05392141659622607, 0.0978980071640209, 0.16224969090569927, 0.1918430194542136, 0.05700584692961496, -0.23212656364978657, 0.056189625993694946, 0.0749575894811879]
|
707.174
|
The Generation and Dissipation of Interstellar Turbulence - Results from
Large Scale High Resolution Simulations
|
We study, by means of adaptive mesh refinement hydro- and
magnetohydrodynamical simulations that cover a wide range of scales (from kpc
to sub-parsec), the dimension of the most dissipative structures and the
injection scale of the turbulent interstellar gas, which we find to be about 75
pc, in agreement with observations. This is however smaller than the average
size of superbubbles, but consistent with significant density and pressure
changes in the ISM, which leads to the break-up of bubbles locally and hence to
injection of turbulence. The scalings of the structure functions are consistent
with log-Poisson statistics of supersonic turbulence where energy is dissipated
mainly through shocks. Our simulations are different from previous ones by
other authors as (i) we do not assume an isothermal gas, but have temperature
variations of several orders of magnitude and (ii) we have no artificial
forcing of the fluid with some ad hoc Fourier spectrum, but drive turbulence by
stellar explosions at the Galactic rate, self-regulated by density and
temperature thresholds imposed on the ISM gas.
|
astro-ph
|
we study by means of adaptive mesh refinement hydro and magnetohydrodynamical simulations that cover a wide range of scales from kpc to subparsec the dimension of the most dissipative structures and the injection scale of the turbulent interstellar gas which we find to be about 75 pc in agreement with observations this is however smaller than the average size of superbubbles but consistent with significant density and pressure changes in the ism which leads to the breakup of bubbles locally and hence to injection of turbulence the scalings of the structure functions are consistent with logpoisson statistics of supersonic turbulence where energy is dissipated mainly through shocks our simulations are different from previous ones by other authors as i we do not assume an isothermal gas but have temperature variations of several orders of magnitude and ii we have no artificial forcing of the fluid with some ad hoc fourier spectrum but drive turbulence by stellar explosions at the galactic rate selfregulated by density and temperature thresholds imposed on the ism gas
|
[['we', 'study', 'by', 'means', 'of', 'adaptive', 'mesh', 'refinement', 'hydro', 'and', 'magnetohydrodynamical', 'simulations', 'that', 'cover', 'a', 'wide', 'range', 'of', 'scales', 'from', 'kpc', 'to', 'subparsec', 'the', 'dimension', 'of', 'the', 'most', 'dissipative', 'structures', 'and', 'the', 'injection', 'scale', 'of', 'the', 'turbulent', 'interstellar', 'gas', 'which', 'we', 'find', 'to', 'be', 'about', '75', 'pc', 'in', 'agreement', 'with', 'observations', 'this', 'is', 'however', 'smaller', 'than', 'the', 'average', 'size', 'of', 'superbubbles', 'but', 'consistent', 'with', 'significant', 'density', 'and', 'pressure', 'changes', 'in', 'the', 'ism', 'which', 'leads', 'to', 'the', 'breakup', 'of', 'bubbles', 'locally', 'and', 'hence', 'to', 'injection', 'of', 'turbulence', 'the', 'scalings', 'of', 'the', 'structure', 'functions', 'are', 'consistent', 'with', 'logpoisson', 'statistics', 'of', 'supersonic', 'turbulence', 'where', 'energy', 'is', 'dissipated', 'mainly', 'through', 'shocks', 'our', 'simulations', 'are', 'different', 'from', 'previous', 'ones', 'by', 'other', 'authors', 'as', 'i', 'we', 'do', 'not', 'assume', 'an', 'isothermal', 'gas', 'but', 'have', 'temperature', 'variations', 'of', 'several', 'orders', 'of', 'magnitude', 'and', 'ii', 'we', 'have', 'no', 'artificial', 'forcing', 'of', 'the', 'fluid', 'with', 'some', 'ad', 'hoc', 'fourier', 'spectrum', 'but', 'drive', 'turbulence', 'by', 'stellar', 'explosions', 'at', 'the', 'galactic', 'rate', 'selfregulated', 'by', 'density', 'and', 'temperature', 'thresholds', 'imposed', 'on', 'the', 'ism', 'gas']]
|
[-0.10503175087340128, 0.16110824964079953, -0.06672254053680876, 0.04715472795570074, -0.03806846811934266, -0.051362654043978814, 0.0022318102954074653, 0.37439959046300936, -0.2486927635124397, -0.34558834060809984, 0.07308090762722544, -0.2504677190147557, -0.01949316929202787, 0.19472705103662732, 0.01084320156342285, 0.01912024224428785, 0.017089847644498616, -0.07341008532933112, -0.03289953898638487, -0.22307437922410278, 0.35789689934557994, 0.14807082106343059, 0.20850288273826198, 0.009712601519124798, 0.059780028502140085, -0.14292003579172413, -0.0709920154253649, 0.05404478487921446, -0.1820622922510919, 0.0340526173115714, 0.18660090886987746, 0.058107155381950965, 0.24772208670376214, -0.47067458168495185, -0.30469494266909286, 0.0592505028335984, 0.18479986220251682, 0.07745887285645314, -0.03669499430255856, -0.21445908159867666, 0.07921594594940977, -0.20017414251179977, -0.10719320335057239, -0.0068680445614898965, 0.028128117455581074, 0.09194636925869502, -0.25199853173128145, 0.16450883608668782, 0.0461459401372257, 0.10225468797630868, -0.09370154767502965, -0.07708284720848856, -0.05715596785113692, 0.05055081618064473, 0.06444051810594406, 0.03946109553920863, 0.20844076650736984, -0.15975499920801497, -0.028348286530587737, 0.41475580292916314, -0.0386839840730529, -0.11638305367642017, 0.2630532888484426, -0.21299745843117668, -0.08914853032234363, 0.1857178520321911, 0.15128694403764986, 0.06628742086062164, -0.09705605175224984, 0.016855661641551875, -0.04618408003155965, 0.19275284927408753, 0.06852196011324088, 0.013161486024495558, 0.21357824181228183, 0.13462035133514208, 0.05743385970370497, 0.07290960794963149, -0.1351884941030348, -0.10050818588866224, -0.254710010423455, -0.08772713455458193, -0.14702062692823495, 0.07403115461708039, -0.13123123901290412, -0.1436818189706469, 0.3409732973397991, 0.18717345060661522, 0.210393859490449, 0.03190668947117533, 0.3210545976018143, 0.09966910619905955, 0.08120889132463395, 0.18675031365155306, 0.2655738775253223, 0.1364697518915501, 0.10044636631514443, -0.2205685710718552, 0.08006376022781614, 0.019582974298066613]
|
707.1741
|
Computer Simulation of Host and two Parasite Species with Ageing
|
The possible coexistence of one host, one aggressive parasite and one
non-lethal parasite is simulated using the Penna model of biological ageing. If
the aggressive parasites survive the difficult initial times where they have to
adjust genetically to the proper host age, all three species may survive,
though the host number may be diminished by increasing parasite aggressivity.
|
q-bio.PE
|
the possible coexistence of one host one aggressive parasite and one nonlethal parasite is simulated using the penna model of biological ageing if the aggressive parasites survive the difficult initial times where they have to adjust genetically to the proper host age all three species may survive though the host number may be diminished by increasing parasite aggressivity
|
[['the', 'possible', 'coexistence', 'of', 'one', 'host', 'one', 'aggressive', 'parasite', 'and', 'one', 'nonlethal', 'parasite', 'is', 'simulated', 'using', 'the', 'penna', 'model', 'of', 'biological', 'ageing', 'if', 'the', 'aggressive', 'parasites', 'survive', 'the', 'difficult', 'initial', 'times', 'where', 'they', 'have', 'to', 'adjust', 'genetically', 'to', 'the', 'proper', 'host', 'age', 'all', 'three', 'species', 'may', 'survive', 'though', 'the', 'host', 'number', 'may', 'be', 'diminished', 'by', 'increasing', 'parasite', 'aggressivity']]
|
[-0.08598656552554719, 0.23875478326728375, -0.0480718236850125, 0.10381401926961503, -0.06875277147628367, -0.24003919702151727, 0.08450124668085883, 0.3587652970233868, -0.252809462009062, -0.3012170644862385, 0.1295193998817483, -0.255004581802621, -0.12795935481272894, 0.13021504239516396, -0.11373335569454678, -0.10456400152681203, 0.04048398835584521, 0.0029527397649683827, 0.10635705063107488, -0.3665856099526944, 0.20773168041868584, -0.014369396107464, 0.2200925542073774, -0.015523789884072953, 0.05631531228247131, -0.024789314106877507, 0.009040171007529414, 0.0036329161857479603, -0.10100798499931035, -0.01460021005236897, 0.2514598664851731, 0.1624963138581671, 0.32102535420964506, -0.4553179919783925, -0.2069325394575195, 0.22407272740684706, 0.22202060419006336, 0.1350956384638517, 0.002276101615279913, -0.22182087728689456, 0.09438886832052457, -0.1812954677734524, -0.2101092181923189, 0.001766883254308125, 0.06086771662250675, 0.02885005881624489, -0.18725337375533477, 0.14489050582051277, -0.05684926304645065, 0.05988157007457881, -0.07459726903972955, -0.09952301853175821, -0.1743631507430611, 0.22968327026846336, 0.09210750939332527, -0.005421798198548113, 0.26362754699998886, -0.12337740171291255, -0.05087539762386988, 0.36992659612462436, 0.02764679496337114, -0.12952417315080247, 0.3016162824190768, -0.159589468585809, -0.1285993448169581, 0.15456973035530797, 0.13488120996746525, 0.07210652384874892, -0.1613085289517867, -0.07147168474179565, 0.04936770638772126, 0.14366461827965646, 0.05713125030863388, -0.008024594196568018, 0.22757026607748762, 0.20376026037988124, 0.018124021770400477, 0.04751210269349595, -0.06725602579937348, -0.05513378042037245, -0.1058589970564534, -0.14397240939935477, -0.10617755701291728, 0.06530324438715289, -0.13213677774158364, -0.15009285652496177, 0.37686951921305395, 0.1622449027440623, 0.17283379180549546, 0.02865768986722005, 0.2788157654476577, 0.01830943885805278, 0.1854642043050764, -0.008546173881643034, 0.18574421984496817, 0.0182743499994856, 0.025057773079707062, -0.29458616571982615, 0.23865315496343478, -0.06562394678998128]
|
707.1742
|
Relative log convergent cohomology and relative rigid cohomology I
|
In this paper, we develop the theory of relative log convergent cohomology.
We prove the coherence of relative log convergent cohomology in certain case by
using the comparison theorem between relative log convergent cohomlogy and
relative log crystalline cohomology, and we relates relative log convergent
cohomology to relative rigid cohomology to show the validity of Berthelot's
conjecture on the coherence and the overconvergence of relative rigid
cohomology for proper smooth families when they admit nice proper log smooth
compactification to which the coefficient extends logarithmically.
|
math.NT math.AG
|
in this paper we develop the theory of relative log convergent cohomology we prove the coherence of relative log convergent cohomology in certain case by using the comparison theorem between relative log convergent cohomlogy and relative log crystalline cohomology and we relates relative log convergent cohomology to relative rigid cohomology to show the validity of berthelots conjecture on the coherence and the overconvergence of relative rigid cohomology for proper smooth families when they admit nice proper log smooth compactification to which the coefficient extends logarithmically
|
[['in', 'this', 'paper', 'we', 'develop', 'the', 'theory', 'of', 'relative', 'log', 'convergent', 'cohomology', 'we', 'prove', 'the', 'coherence', 'of', 'relative', 'log', 'convergent', 'cohomology', 'in', 'certain', 'case', 'by', 'using', 'the', 'comparison', 'theorem', 'between', 'relative', 'log', 'convergent', 'cohomlogy', 'and', 'relative', 'log', 'crystalline', 'cohomology', 'and', 'we', 'relates', 'relative', 'log', 'convergent', 'cohomology', 'to', 'relative', 'rigid', 'cohomology', 'to', 'show', 'the', 'validity', 'of', 'berthelots', 'conjecture', 'on', 'the', 'coherence', 'and', 'the', 'overconvergence', 'of', 'relative', 'rigid', 'cohomology', 'for', 'proper', 'smooth', 'families', 'when', 'they', 'admit', 'nice', 'proper', 'log', 'smooth', 'compactification', 'to', 'which', 'the', 'coefficient', 'extends', 'logarithmically']]
|
[-0.17933197010314048, 0.036843977768772414, -0.15354530962871477, 0.07180866770241187, -0.02620577852108649, -0.1189456163972084, 0.025534141158762697, 0.3344548582431993, -0.34117328297967714, -0.25160510663685964, 0.04014924938313752, -0.2050864393351644, -0.11073895428507101, 0.1861140714248731, -0.266063104228427, 0.022876290937087367, 0.013238997176466953, 0.06153672476786943, -0.1208777264428569, -0.31938537500710007, 0.38399030384053257, -0.05153056282904886, 0.2560407465401416, 0.07748373129981614, 0.11207723243915964, 0.003059342806366095, -0.044278602459512297, -0.023728062232424105, -0.20530033932577463, 0.18052696479883576, 0.30662982111209114, 0.007472731552774175, 0.17180562999454282, -0.34080707592268783, -0.029941266185016416, 0.17210959065483794, 0.12288494909270889, 0.007480956507303442, 0.07565153280544716, -0.2182765486622451, 0.15044696582619854, -0.17627378484965966, -0.15565124691818796, -0.14701923980776752, 0.06435002968577291, 0.0727969429100908, -0.20558386708476714, 0.08530126490777115, 0.07500781659949834, 0.1367347509977186, -0.058756275667942, -0.012084248481274006, -0.057540595825273724, 0.05900576831447238, 0.03530075917730019, 0.07318374860499587, 0.11051872616545075, -0.06742843096089061, -0.05387543424564813, 0.35421449824103285, -0.1481721066991754, -0.1651132949627936, 0.1400428916372004, -0.15472717138029457, -0.19104125059121066, 0.11113199635985352, 0.052431923226409015, 0.29858225377254366, 0.07411867136414955, 0.1777081017782967, -0.0475099304624434, 0.1305835925796557, 0.1723401952601437, 0.026515266791518246, 0.08213996989209027, 0.05144865784539087, 0.1194184391060844, 0.08820472936522925, -0.0075523906880767926, -0.135536894274299, -0.3806106965916808, -0.23996453748328522, -0.10380496736338717, 0.13766845340640949, -0.1829930737143773, -0.17347334104540227, 0.32385370004478664, 0.08662312511642951, 0.2260772311128676, 0.20832499674482582, 0.2665038188209846, 0.0929872230515771, -0.013539050445182338, 0.0661549157839978, 0.14920055298578172, 0.2366326563309745, -0.06196820766421124, -0.20926957527020326, 0.026921999595721162, 0.23131422878664343]
|
707.1743
|
Relative log convergent cohomology and relative rigid cohomology II
|
In this paper, we develop the theory of relative log convergent cohomology of
radius $\lambda$ ($0 < \lambda \leq 1$), which is a generalization of the
notion of relative log convergent cohomology in the previous paper. By
comparing this cohomology with relative log crystalline cohomology, relative
rigid cohomology and its variants and by using some technique of hypercovering,
we prove a version of Berthelot's conjecture on the overconvergence of relative
rigid cohomology for proper smooth families.
|
math.NT math.AG
|
in this paper we develop the theory of relative log convergent cohomology of radius lambda 0 lambda leq 1 which is a generalization of the notion of relative log convergent cohomology in the previous paper by comparing this cohomology with relative log crystalline cohomology relative rigid cohomology and its variants and by using some technique of hypercovering we prove a version of berthelots conjecture on the overconvergence of relative rigid cohomology for proper smooth families
|
[['in', 'this', 'paper', 'we', 'develop', 'the', 'theory', 'of', 'relative', 'log', 'convergent', 'cohomology', 'of', 'radius', 'lambda', '0', 'lambda', 'leq', '1', 'which', 'is', 'a', 'generalization', 'of', 'the', 'notion', 'of', 'relative', 'log', 'convergent', 'cohomology', 'in', 'the', 'previous', 'paper', 'by', 'comparing', 'this', 'cohomology', 'with', 'relative', 'log', 'crystalline', 'cohomology', 'relative', 'rigid', 'cohomology', 'and', 'its', 'variants', 'and', 'by', 'using', 'some', 'technique', 'of', 'hypercovering', 'we', 'prove', 'a', 'version', 'of', 'berthelots', 'conjecture', 'on', 'the', 'overconvergence', 'of', 'relative', 'rigid', 'cohomology', 'for', 'proper', 'smooth', 'families']]
|
[-0.17965122567489744, 0.03357025032863021, -0.13389410926649967, 0.019629428912885487, -0.016153036803007125, -0.11373704273874562, 0.011803023306808123, 0.31317746100326377, -0.3446042861416936, -0.26869230685134726, 0.058620859791214265, -0.20055322182364763, -0.12535231319566567, 0.15431923830260832, -0.22719689150651295, -0.004918308656197041, 0.023500000685453416, 0.07319427949686845, -0.08572581749409437, -0.2753952503794183, 0.40962539287284017, -0.034008760266005994, 0.18815281108021736, 0.04473859449227651, 0.08261204155161977, -0.007641485979159673, -0.027922107726335525, -0.007582349417110284, -0.2374162205743293, 0.2109663882246241, 0.262193360934034, 0.030230672908946873, 0.2290944366157055, -0.3107343752930562, -0.046067171497270465, 0.162169949952513, 0.12227676251282295, 0.02012304258067161, 0.025579854788569112, -0.24619000433012844, 0.1803334479033947, -0.20716862643758455, -0.17380390618306896, -0.08837651615341505, 0.07868744158418849, 0.06765025092909734, -0.19289261380831402, 0.062493650279939174, 0.08619170755080025, 0.15802986933636323, -0.07428245451456557, -0.07727500692009925, -0.031834147184466324, 0.020929646296426654, 0.007341843182221055, 0.08106435051187873, 0.09702948214486241, -0.09768845875437061, -0.10870904454340537, 0.3685626467317343, -0.12507333631316822, -0.18287808794605856, 0.09926107253879309, -0.1305674772709608, -0.22037044617036977, 0.09007010494669278, 0.040739880427718166, 0.3061828831831614, 0.04473321261505286, 0.20446110202775647, -0.07264308211238434, 0.12004336684942246, 0.14786854525407156, -0.007286950449148814, 0.1036629319563508, 0.1002865367817382, 0.08665951929986476, 0.10673062283545733, -0.033071748151754336, -0.07263978908459345, -0.36346528239237763, -0.2442663514489929, -0.11203542581448953, 0.11966207542767128, -0.14606054931219356, -0.14611665911972524, 0.35553263492882253, 0.09221273342768352, 0.2100769657890002, 0.19994552879439045, 0.2808437352875868, 0.05285974650954207, -0.015135416934887569, 0.020618424190518757, 0.14094195600172194, 0.24122592673326532, -0.028396276502559582, -0.1664691838854924, 0.01430343353577579, 0.2314591396972537]
|
707.1744
|
Statistical properties of a generalized threshold network model
|
The threshold network model is a type of finite random graphs. In this paper,
we introduce a generalized threshold network model. A pair of vertices with
random weights is connected by an edge when real-valued functions of the pair
of weights belong to given Borel sets. We extend several known limit theorems
for the number of prescribed subgraphs to show that the strong law of large
numbers can be uniform convergence. We also prove two limit theorems for the
local and global clustering coefficients.
|
math.PR
|
the threshold network model is a type of finite random graphs in this paper we introduce a generalized threshold network model a pair of vertices with random weights is connected by an edge when realvalued functions of the pair of weights belong to given borel sets we extend several known limit theorems for the number of prescribed subgraphs to show that the strong law of large numbers can be uniform convergence we also prove two limit theorems for the local and global clustering coefficients
|
[['the', 'threshold', 'network', 'model', 'is', 'a', 'type', 'of', 'finite', 'random', 'graphs', 'in', 'this', 'paper', 'we', 'introduce', 'a', 'generalized', 'threshold', 'network', 'model', 'a', 'pair', 'of', 'vertices', 'with', 'random', 'weights', 'is', 'connected', 'by', 'an', 'edge', 'when', 'realvalued', 'functions', 'of', 'the', 'pair', 'of', 'weights', 'belong', 'to', 'given', 'borel', 'sets', 'we', 'extend', 'several', 'known', 'limit', 'theorems', 'for', 'the', 'number', 'of', 'prescribed', 'subgraphs', 'to', 'show', 'that', 'the', 'strong', 'law', 'of', 'large', 'numbers', 'can', 'be', 'uniform', 'convergence', 'we', 'also', 'prove', 'two', 'limit', 'theorems', 'for', 'the', 'local', 'and', 'global', 'clustering', 'coefficients']]
|
[-0.14849386916362814, 0.1226527080942192, -0.05133584267016323, 0.06882741357271914, -0.060143793118186295, -0.11724220130348667, 0.08275266844430007, 0.3553697688593751, -0.31151712173596025, -0.22466389745906262, 0.065939598105615, -0.27261308260217665, -0.15801452251062506, 0.14669962396423908, -0.07917429315247795, 0.07184591902686017, 0.08027024899188075, 0.08801110683097726, -0.009007053757419012, -0.26512637913471, 0.373991361331372, -0.05011602291155474, 0.26321878235986723, 0.07792738512424487, 0.09598838484643715, 0.008593423547045816, -0.011479157987715942, 0.08260122245355021, -0.13268698232258475, 0.10429665705998473, 0.20595119193395867, 0.10433334168434764, 0.3071072706509204, -0.3935234561739933, -0.1792120230495043, 0.22851695295650556, 0.10546802245967445, 0.08554625536947112, 0.02935372484249196, -0.24114363587328366, 0.19217773318468107, -0.17419643745580243, -0.15170617523835972, -0.05728176558789398, 0.009155912430114335, 0.11070482860807151, -0.34551394552302855, 0.04063271381580437, 0.12681557457627995, 0.012084909415404712, -0.007264469838922932, -0.095493085482823, -0.010219240150902243, 0.10882142295269573, -0.013182294834959543, 0.02089900389269349, 0.05938152762107728, -0.1296922971599824, -0.1603338191773565, 0.3215105587317209, -0.06291772131918974, -0.23483674831056436, 0.14658278943083825, -0.14269417312018395, -0.18609560122491703, 0.07469047388682763, 0.17747573520145601, 0.13595539026720785, -0.13271398319938316, 0.10999956123262, -0.12046138775934066, 0.1101165653782941, 0.07751169013569043, 0.03712052382373562, 0.13855757110840863, 0.11410081675664212, 0.14774137916642108, 0.2047970940558506, -0.05524984864764736, -0.06474462449772372, -0.32875377580612186, -0.07832648108402888, -0.223858446825207, 0.04792230176306995, -0.19300597819061036, -0.22330151091418451, 0.406548869169672, 0.10381268667766735, 0.2504421721789099, 0.18325648404147832, 0.21201786115055993, 0.15449549771091414, 0.027688289909357473, 0.08987350572299745, 0.15287112420247423, 0.17405564786167815, 0.002951054104847745, -0.09876143695077017, 0.04485215074826209, 0.17419840976972842]
|
707.1745
|
On the Graf's addition theorem for Hahn Exton q-Bessel function
|
In this paper we study the positivity of the generalized $q$-translation
associated with the $q$-Bessel Hahn Exton function which is deduced by a new
formulation of the Graf's addition formula related to this function.
|
math.CA
|
in this paper we study the positivity of the generalized qtranslation associated with the qbessel hahn exton function which is deduced by a new formulation of the grafs addition formula related to this function
|
[['in', 'this', 'paper', 'we', 'study', 'the', 'positivity', 'of', 'the', 'generalized', 'qtranslation', 'associated', 'with', 'the', 'qbessel', 'hahn', 'exton', 'function', 'which', 'is', 'deduced', 'by', 'a', 'new', 'formulation', 'of', 'the', 'grafs', 'addition', 'formula', 'related', 'to', 'this', 'function']]
|
[-0.08804629669722283, 0.047520539822113336, -0.10962676618135336, 0.07880253224478413, -0.06868818695798065, -0.05474388468163935, 0.022851778663497305, 0.2683864146696799, -0.3027386349259001, -0.2384426129812544, 0.08051781621267737, -0.21450851019471884, -0.26361011442813004, 0.17742707931690596, -0.10547337373436401, 0.04843686871004827, -0.013423412847755984, 0.020474780238035954, -0.15925459270224426, -0.20036115662448786, 0.3779953406615691, 0.03875901195516979, 0.22191647874812284, 0.08975015919316899, 0.10709683515244361, 0.060997030274434524, -0.057716900313442406, -0.031085972307306347, -0.19258932371369816, 0.18664263657322436, 0.1755622376186886, 0.13451155785922753, 0.2567551444482171, -0.3296263726484595, -0.14283637521844922, 0.12284311045412764, 0.10381315010740902, 0.0195467807458375, -0.011979174546220085, -0.2621795864719333, 0.0700435655643091, -0.20164248903253765, -0.1911199215489129, -0.03283989943112388, -0.02305170227632378, 0.07340479585003447, -0.25403709624978627, 0.11651335314452423, 0.08136684199174245, 0.02514489313982653, -0.06160701311786066, -0.11452345136609493, 0.04659107598391446, 0.02523342977193269, 0.09176641075420335, 0.10074545397197432, -0.0005268109397906246, -0.10096922094905467, -0.09449272171001542, 0.3366819933959932, -0.07923335045801871, -0.22410961692080353, 0.08775352652777325, -0.15608683179104418, -0.16358580561636976, 0.05519823639681845, 0.12026045426274791, 0.18831482416752612, -0.1976718477566134, 0.07129082391320755, -0.12160293337409243, 0.06127257419354988, 0.11232469417154789, 0.02577468470642061, 0.10400150354535347, 0.019241769628768616, 0.028646715521586662, 0.2762534936720675, -0.004842429169608901, -0.08840533249983282, -0.3637979116403695, -0.22075759162279693, -0.21193861633990752, 0.06503750093168381, -0.053873393910400795, -0.16632737716039023, 0.43876984388087736, 0.0998944119465622, 0.17866844971748916, 0.10728433920479746, 0.24547056289333286, 0.2691995310032684, 0.07465025776940765, -0.02252021540577213, 0.15427045397121797, 0.22989729675464332, 0.1216663152171708, -0.24970916700972753, 0.05182214848922961, 0.1657389476189785]
|
707.1746
|
Random environment on coloured trees
|
In this paper, we study a regular rooted coloured tree with random labels
assigned to its edges, where the distribution of the label assigned to an edge
depends on the colours of its endpoints. We obtain some new results relevant to
this model and also show how our model generalizes many other probabilistic
models, including random walk in random environment on trees, recursive
distributional equations and multi-type branching random walk on $\mathbb{R}$.
|
math.PR
|
in this paper we study a regular rooted coloured tree with random labels assigned to its edges where the distribution of the label assigned to an edge depends on the colours of its endpoints we obtain some new results relevant to this model and also show how our model generalizes many other probabilistic models including random walk in random environment on trees recursive distributional equations and multitype branching random walk on mathbbr
|
[['in', 'this', 'paper', 'we', 'study', 'a', 'regular', 'rooted', 'coloured', 'tree', 'with', 'random', 'labels', 'assigned', 'to', 'its', 'edges', 'where', 'the', 'distribution', 'of', 'the', 'label', 'assigned', 'to', 'an', 'edge', 'depends', 'on', 'the', 'colours', 'of', 'its', 'endpoints', 'we', 'obtain', 'some', 'new', 'results', 'relevant', 'to', 'this', 'model', 'and', 'also', 'show', 'how', 'our', 'model', 'generalizes', 'many', 'other', 'probabilistic', 'models', 'including', 'random', 'walk', 'in', 'random', 'environment', 'on', 'trees', 'recursive', 'distributional', 'equations', 'and', 'multitype', 'branching', 'random', 'walk', 'on', 'mathbbr']]
|
[-0.061536712711838644, 0.16835274533938596, -0.061209197233741484, 0.04217645740168842, -0.1165758128109802, -0.14929143510784748, 0.11694556827973833, 0.42497412643084925, -0.27631516655674204, -0.2239195640043666, 0.06620684439096497, -0.2995904023345146, -0.18049174009097946, 0.09690381464315578, -0.12958968361231704, 0.06043569792624718, 0.09103276230032659, 0.11303863009541398, 0.05144728848244995, -0.2841631818656525, 0.3063340463106417, -0.032113833107157715, 0.23139245035256156, 0.016026544242372945, 0.09757194704919432, 0.06861054909596634, -0.07529189211668887, 0.024733261425151594, -0.15658445023776343, 0.07693528967340374, 0.15797364613682577, 0.1249753471218153, 0.23769522317323005, -0.4051828161916799, -0.19075226506942677, 0.1756231345029341, 0.13629706050657356, 0.09334577393666324, 0.010234226681253253, -0.3223527329456475, 0.11742916070700933, -0.1263783558194215, -0.07831175613682717, 0.005150691230988337, 0.03389543458534819, 0.04540727846001068, -0.2731951940028618, -0.01888705396534836, 0.09875946621711289, 0.012397749776331088, -0.00672152299214051, -0.16173343253709996, -0.04697150384890847, 0.11920637665833864, -0.01702675473966843, 0.04315056481411577, 0.09319485096623087, -0.13286055517124218, -0.21488403178389287, 0.3683471382699079, -0.061231863697887294, -0.2665105122917642, 0.22274277265468198, -0.15109169815615234, -0.2496862391449718, 0.02876946665087922, 0.23819328572911522, 0.15244241992089277, -0.16531388173138517, 0.08986313367980377, -0.10289752336555263, 0.06888994279627998, 0.038920955654854573, 0.011652214452624321, 0.1482862990944543, 0.16201158478442165, 0.07538574200831742, 0.19285744893406648, -0.02843886071544451, -0.12725443295655875, -0.27606189786456525, -0.09191077167633921, -0.21715034517304352, 0.04221423611872726, -0.2184476826413528, -0.30278902907027966, 0.43318566747216714, 0.2692161027937093, 0.2909091747391762, 0.1811148860077891, 0.2418949450366199, 0.1374128482954499, -0.018388125916115113, 0.08441079609716932, 0.04352776426781525, 0.14533358734721938, 0.02799670550221991, -0.11383211892906628, 0.13481240070864764, 0.10846579783376203]
|
707.1747
|
Charmed Exotics in Heavy Ion Collisions
|
Based on the color-spin interaction in diquarks, we argue that charmed
multiquark hadrons are likely to exist. Because of the appreciable number of
charm quarks produced in central nucleus-nucleus collisions at
ultrarelativistic energies, production of charmed multiquark hadrons is
expected to be enhanced in these collisions. Using both the quark coalescence
model and the statistical hadronization model, we estimate the yield of charmed
tetraquark meson $T_{cc}$ and pentaquark baryon $\Theta_{cs}$ in heavy ion
collisions at RHIC and LHC. We further discuss the decay modes of these charmed
exotic hadrons in order to facilitate their detections in experiments.
|
hep-ph
|
based on the colorspin interaction in diquarks we argue that charmed multiquark hadrons are likely to exist because of the appreciable number of charm quarks produced in central nucleusnucleus collisions at ultrarelativistic energies production of charmed multiquark hadrons is expected to be enhanced in these collisions using both the quark coalescence model and the statistical hadronization model we estimate the yield of charmed tetraquark meson t_cc and pentaquark baryon theta_cs in heavy ion collisions at rhic and lhc we further discuss the decay modes of these charmed exotic hadrons in order to facilitate their detections in experiments
|
[['based', 'on', 'the', 'colorspin', 'interaction', 'in', 'diquarks', 'we', 'argue', 'that', 'charmed', 'multiquark', 'hadrons', 'are', 'likely', 'to', 'exist', 'because', 'of', 'the', 'appreciable', 'number', 'of', 'charm', 'quarks', 'produced', 'in', 'central', 'nucleusnucleus', 'collisions', 'at', 'ultrarelativistic', 'energies', 'production', 'of', 'charmed', 'multiquark', 'hadrons', 'is', 'expected', 'to', 'be', 'enhanced', 'in', 'these', 'collisions', 'using', 'both', 'the', 'quark', 'coalescence', 'model', 'and', 'the', 'statistical', 'hadronization', 'model', 'we', 'estimate', 'the', 'yield', 'of', 'charmed', 'tetraquark', 'meson', 't_cc', 'and', 'pentaquark', 'baryon', 'theta_cs', 'in', 'heavy', 'ion', 'collisions', 'at', 'rhic', 'and', 'lhc', 'we', 'further', 'discuss', 'the', 'decay', 'modes', 'of', 'these', 'charmed', 'exotic', 'hadrons', 'in', 'order', 'to', 'facilitate', 'their', 'detections', 'in', 'experiments']]
|
[-0.03748893975231719, 0.37170423539161374, -0.16210791520037068, 0.22775140905893446, -0.01330833999478879, -0.103626787851681, 0.02041530191975956, 0.33898748251764727, -0.13349454479854708, -0.20772078975763483, -0.1345938083929165, -0.39994044577664073, 0.1333460106028118, 0.01811858513390992, 0.13781149526281902, 0.13273100050961753, 0.16496460864436813, 0.02690162691093671, 0.014788469572522445, -0.23421665492545193, 0.3264697712608419, -0.0041461899333323044, 0.13101139296971573, 0.2852051053293205, -0.034921703622482404, -0.013169151827848205, 0.01345848821135102, -0.09290476074481073, -0.08737049608112102, 0.08060382480562112, 0.25936529129588354, 0.07593909862286334, 0.08627654489828274, -0.41529028189446154, -0.10384909860780074, 0.16202320330679262, 0.23076601004383215, 0.18978095439282092, -0.07516617412935982, -0.32514866687900695, 0.16316839061619248, -0.25964261952321976, -0.16699057002551854, -0.13498518101793403, -0.0148357926858201, 0.0182088798416468, -0.2947878817600819, 0.13195178313253564, -0.09687037630828854, 0.05217073108118105, -0.027180302973041155, -0.26155482590547763, -0.09289108251687139, -0.07420865590878141, 0.15611699712947788, 0.12480279670853633, 0.18778928046716223, -0.19400654533698494, -0.21251634826573232, 0.43611978564877063, 0.007857996627232447, -0.13334793824954735, 0.19590417847939534, -0.20615102994149007, -0.2150328084389912, 0.10614999280854438, 0.32930925639448105, 0.0516864112141775, -0.20025959673997326, -0.009473930677510603, -0.012217704555951059, 0.14346147037292667, 0.12204163681841844, 0.17058210284934225, 0.2664444593829103, 0.24287730859941803, -0.12291058991589428, 0.0653591730771647, -0.05681160648964578, -0.07963328695950622, -0.41424912520839524, -0.09403546761313919, -0.10681837083636007, 0.028030533589723444, -0.04886911273403408, -0.042701333169437326, 0.37885620131661807, 0.09183962583968726, 0.268531228992894, -0.10131403259583749, 0.2846525456213082, 0.023223172863557313, 0.02587646879449797, 0.1574807686144292, 0.3529132804251276, 0.22200043322421456, 0.19016428905403396, -0.3264080947210459, 0.02029693311972854, 0.07614351085794624]
|
707.1748
|
Algebraic Connections vs. Algebraic {$\cD$}-modules: inverse and direct
images
|
In the dictionary between the language of (algebraic integrable) connections
and that of (algebraic) $\cD$-modules, to compare the definitions of inverse
images for connections and $\cD$-modules is easy. But the comparison between
direct images for connections (the classical construction of the Gauss-Manin
connection for smooth morphisms) and for $\cD$-modules, although known to
specialists, has been explicitly proved only recently in a paper of Dimca,
Maaref, Sabbah and Saito in 2000, where the authors' main technical tool was M.
Saito's equivalence between the derived category of $\cD$-modules and a
localized category of differential complexes. The aim of this short paper is to
give a simplified summary of the [DMSS] argument, and to propose an alternative
proof of this comparison which is simpler, in the sense that it does not use
Saito equivalence. Moreover, our alternative strategy of comparison works in a
context which is a precursor to the Gauss-Manin connection (at the level of
$f^{-1}\cD_Y$-modules, for a morphism $f:X\to Y$), and may be of some intrinsic
interest.
|
math.AG
|
in the dictionary between the language of algebraic integrable connections and that of algebraic cdmodules to compare the definitions of inverse images for connections and cdmodules is easy but the comparison between direct images for connections the classical construction of the gaussmanin connection for smooth morphisms and for cdmodules although known to specialists has been explicitly proved only recently in a paper of dimca maaref sabbah and saito in 2000 where the authors main technical tool was m saitos equivalence between the derived category of cdmodules and a localized category of differential complexes the aim of this short paper is to give a simplified summary of the dmss argument and to propose an alternative proof of this comparison which is simpler in the sense that it does not use saito equivalence moreover our alternative strategy of comparison works in a context which is a precursor to the gaussmanin connection at the level of f1cd_ymodules for a morphism fxto y and may be of some intrinsic interest
|
[['in', 'the', 'dictionary', 'between', 'the', 'language', 'of', 'algebraic', 'integrable', 'connections', 'and', 'that', 'of', 'algebraic', 'cdmodules', 'to', 'compare', 'the', 'definitions', 'of', 'inverse', 'images', 'for', 'connections', 'and', 'cdmodules', 'is', 'easy', 'but', 'the', 'comparison', 'between', 'direct', 'images', 'for', 'connections', 'the', 'classical', 'construction', 'of', 'the', 'gaussmanin', 'connection', 'for', 'smooth', 'morphisms', 'and', 'for', 'cdmodules', 'although', 'known', 'to', 'specialists', 'has', 'been', 'explicitly', 'proved', 'only', 'recently', 'in', 'a', 'paper', 'of', 'dimca', 'maaref', 'sabbah', 'and', 'saito', 'in', '2000', 'where', 'the', 'authors', 'main', 'technical', 'tool', 'was', 'm', 'saitos', 'equivalence', 'between', 'the', 'derived', 'category', 'of', 'cdmodules', 'and', 'a', 'localized', 'category', 'of', 'differential', 'complexes', 'the', 'aim', 'of', 'this', 'short', 'paper', 'is', 'to', 'give', 'a', 'simplified', 'summary', 'of', 'the', 'dmss', 'argument', 'and', 'to', 'propose', 'an', 'alternative', 'proof', 'of', 'this', 'comparison', 'which', 'is', 'simpler', 'in', 'the', 'sense', 'that', 'it', 'does', 'not', 'use', 'saito', 'equivalence', 'moreover', 'our', 'alternative', 'strategy', 'of', 'comparison', 'works', 'in', 'a', 'context', 'which', 'is', 'a', 'precursor', 'to', 'the', 'gaussmanin', 'connection', 'at', 'the', 'level', 'of', 'f1cd_ymodules', 'for', 'a', 'morphism', 'fxto', 'y', 'and', 'may', 'be', 'of', 'some', 'intrinsic', 'interest']]
|
[-0.11056445009023996, 0.012062415506966871, -0.12313462065237506, 0.1145198614941342, -0.13200044925267831, -0.1386546792275068, 0.03734097508401269, 0.3511023516596363, -0.29795586451797224, -0.28160743174574726, 0.08332387132502002, -0.22274142976498185, -0.1842841497770079, 0.19568890519298204, -0.15918272321975632, -0.032432420253072206, 0.04292495656764225, 0.04952315507433945, -0.09225948814518477, -0.24442201238920594, 0.3773177209872434, 0.04970383356756917, 0.2603581593167491, 0.06227232492231606, 0.12774141148164322, -0.0035160057322638927, -0.05635375598241098, -0.004914670123536958, -0.13419732564065404, 0.17024350266480567, 0.3247594707475112, 0.09558322067548544, 0.23395156055808114, -0.36599707157669087, -0.1443602103885851, 0.11217046193224832, 0.11572756304791788, 0.06944098253024561, -0.03717503640885896, -0.27166860473410387, 0.10029363684092149, -0.16173302583544083, -0.095273577240821, -0.0644980473074744, 0.09446144965903197, 0.023591650243871276, -0.24179481039577583, -0.0023742397929820028, 0.13927516605841314, 0.09641507713311556, -0.03392335295637434, -0.06181219114677799, -0.018331052836246517, 0.10124599450358712, 0.026961949477525907, 0.06980362494860168, 0.03610858116185338, -0.08707837257023174, -0.1043693144722677, 0.3317785216296637, -0.03890101136298987, -0.1860064395657945, 0.22770424460475447, -0.06917102605377029, -0.14798526893222205, 0.09068816913882406, 0.06567074903059841, 0.12266764567210907, -0.12461740229805511, 0.14054890124662495, -0.09250681708061431, 0.11264075496711018, 0.0946606691165759, 0.008109077538658933, 0.1418443832535115, 0.12926311536675048, 0.03516350323107184, 0.12343219741994356, -0.025275236092189828, -0.0845125072505098, -0.315581006912242, -0.22299118884487742, -0.14797953476777254, 0.08535489042031524, -0.04833062251924364, -0.1515440470879761, 0.39549331311363634, 0.12554191267465684, 0.19127419260160133, 0.10184548240830758, 0.2628196888694131, 0.04579194630680765, 0.02894738366793296, -0.00028881675098091364, 0.2090890607209209, 0.22606320152763368, 0.0757793757231367, -0.11579448520063945, 0.04813164926147182, 0.14439630890321895]
|
707.1749
|
New results from the B factories Belle and BaBar
|
The BELLE detector has already accumulated e^+ e^- collision data at the
KEKB-collider corresponding to 600 fb^-1. BaBar has accumulated data of
approximately 390 fb^-1 at PEP-II. Both are running on asymmetric energy e^+
e^- colliders at the Upsilon(4S) energy. The paper selects important results
from both experiments with the emphasis on CP violation in B meson decays and
its implications for the Unitarity Triangle.
|
hep-ex
|
the belle detector has already accumulated e e collision data at the kekbcollider corresponding to 600 fb1 babar has accumulated data of approximately 390 fb1 at pepii both are running on asymmetric energy e e colliders at the upsilon4s energy the paper selects important results from both experiments with the emphasis on cp violation in b meson decays and its implications for the unitarity triangle
|
[['the', 'belle', 'detector', 'has', 'already', 'accumulated', 'e', 'e', 'collision', 'data', 'at', 'the', 'kekbcollider', 'corresponding', 'to', '600', 'fb1', 'babar', 'has', 'accumulated', 'data', 'of', 'approximately', '390', 'fb1', 'at', 'pepii', 'both', 'are', 'running', 'on', 'asymmetric', 'energy', 'e', 'e', 'colliders', 'at', 'the', 'upsilon4s', 'energy', 'the', 'paper', 'selects', 'important', 'results', 'from', 'both', 'experiments', 'with', 'the', 'emphasis', 'on', 'cp', 'violation', 'in', 'b', 'meson', 'decays', 'and', 'its', 'implications', 'for', 'the', 'unitarity', 'triangle']]
|
[-0.10335295702407166, 0.14874526658786635, -0.07717490867798915, 0.07264226622646675, -0.09259871459653368, -0.14592633164284052, 0.05353941002613283, 0.30786153284134343, -0.14857724588364363, -0.3221522578969598, 0.004220373119096621, -0.5088311968502239, 0.11532661138335243, 0.173593675968732, 0.12733170711726416, 0.15947220199359435, 0.20574655762902694, 0.07363605307182297, -0.04449220215610694, -0.23098398301226553, 0.18823924454045482, 0.16345650103176013, 0.2773741777455143, 0.12294156599091366, 0.05671166094907676, 0.0040773293731035665, -0.049646742481854744, -0.11687230980169261, -0.12201143870333908, 0.033335924686980434, 0.25434721645433456, 0.16904630094848017, 0.15750477998517454, -0.3893568075145595, 0.04893195598560851, 0.21230013221793342, 0.09975371804466704, -0.028560727514559403, -0.07201205030287383, -0.4197402200079523, 0.15240085039113183, -0.17511839371582028, -0.05944440618623048, 0.015777298918692395, 0.08375715637521353, -0.13500342380575603, -0.3354111528606154, 0.04399666808239999, -0.1144029392671655, 0.11401927645056276, -0.023356773703198996, -0.2923483031918295, -0.059507088946702424, -0.12486792099480226, 0.042960715407389216, 0.05663212660874706, 0.20236278857919388, -0.07035651929436426, -0.19285203310573706, 0.33454913686728105, -0.026033340516733006, -0.06591444264631718, 0.1975902130434406, -0.23628017591545358, -0.0756163613696117, 0.18169207131722942, 0.2839769336133031, -0.026916927672573365, -0.19769432448083535, 0.23347566234497208, -0.03507956547946378, 0.09477172199694905, 0.1715908395817678, 0.0654839507478755, 0.19133983738720417, 0.21385571919381618, 0.053835728773265146, 0.031068268628587248, -0.14639261623233324, -0.022955316002480686, -0.48711506339896005, -0.0323168908507796, -0.13279561637318693, 0.04781558513059281, -0.0058168309913071425, 0.034747143796266755, 0.3659212309285067, 0.046872772076312685, 0.36841587926028296, -0.03507088785408996, 0.26938392901502084, 0.0612221214469173, 0.049227410542698635, 0.10303939474397339, 0.31950776613666676, 0.08508768859610427, 0.21772604787838645, -0.3310919111354451, -0.000663477934722323, -0.043055699396063574]
|
707.175
|
The accuracy of roughness exponent measurement methods
|
We test methods for measuring and characterizing rough profiles with emphasis
on measurements of the self-affine roughness exponent, and describes a simple
test to separate between roughness exponents originating from long range
correlations in the sign signs of the profile, and roughness exponents
originating from L{\'e}vy distributions of jumps. Based on tests on profiles
with known roughness exponents we find that the power spectrum density analysis
and the averaged wavelet coefficients method give the best estimates for
roughness exponents in the range 0.1 to 0.9. The error-bars are found to be
less than 0.03 for profile lengths larger than 256, and there are no systematic
bias in the estimates. We present quantitative estimates of the error-bars and
the systematic error and their dependence on the value of the roughness
exponent and the profile length. We also quantify how power-law noise can
modify the measured roughness exponent for measurement methods different from
the power spectrum density analysis and the second order correlation function
method.
|
cond-mat.stat-mech cond-mat.mtrl-sci
|
we test methods for measuring and characterizing rough profiles with emphasis on measurements of the selfaffine roughness exponent and describes a simple test to separate between roughness exponents originating from long range correlations in the sign signs of the profile and roughness exponents originating from levy distributions of jumps based on tests on profiles with known roughness exponents we find that the power spectrum density analysis and the averaged wavelet coefficients method give the best estimates for roughness exponents in the range 01 to 09 the errorbars are found to be less than 003 for profile lengths larger than 256 and there are no systematic bias in the estimates we present quantitative estimates of the errorbars and the systematic error and their dependence on the value of the roughness exponent and the profile length we also quantify how powerlaw noise can modify the measured roughness exponent for measurement methods different from the power spectrum density analysis and the second order correlation function method
|
[['we', 'test', 'methods', 'for', 'measuring', 'and', 'characterizing', 'rough', 'profiles', 'with', 'emphasis', 'on', 'measurements', 'of', 'the', 'selfaffine', 'roughness', 'exponent', 'and', 'describes', 'a', 'simple', 'test', 'to', 'separate', 'between', 'roughness', 'exponents', 'originating', 'from', 'long', 'range', 'correlations', 'in', 'the', 'sign', 'signs', 'of', 'the', 'profile', 'and', 'roughness', 'exponents', 'originating', 'from', 'levy', 'distributions', 'of', 'jumps', 'based', 'on', 'tests', 'on', 'profiles', 'with', 'known', 'roughness', 'exponents', 'we', 'find', 'that', 'the', 'power', 'spectrum', 'density', 'analysis', 'and', 'the', 'averaged', 'wavelet', 'coefficients', 'method', 'give', 'the', 'best', 'estimates', 'for', 'roughness', 'exponents', 'in', 'the', 'range', '01', 'to', '09', 'the', 'errorbars', 'are', 'found', 'to', 'be', 'less', 'than', '003', 'for', 'profile', 'lengths', 'larger', 'than', '256', 'and', 'there', 'are', 'no', 'systematic', 'bias', 'in', 'the', 'estimates', 'we', 'present', 'quantitative', 'estimates', 'of', 'the', 'errorbars', 'and', 'the', 'systematic', 'error', 'and', 'their', 'dependence', 'on', 'the', 'value', 'of', 'the', 'roughness', 'exponent', 'and', 'the', 'profile', 'length', 'we', 'also', 'quantify', 'how', 'powerlaw', 'noise', 'can', 'modify', 'the', 'measured', 'roughness', 'exponent', 'for', 'measurement', 'methods', 'different', 'from', 'the', 'power', 'spectrum', 'density', 'analysis', 'and', 'the', 'second', 'order', 'correlation', 'function', 'method']]
|
[-0.0641710278320989, 0.11635665984915718, -0.14516689768346724, 0.09879645562382197, 0.0028324040882089434, -0.12506046172151444, 0.04176600330132146, 0.37720813486507976, -0.2393680555357432, -0.34289954531869277, 0.07045612127185896, -0.3422111142426729, -0.09978868584919927, 0.26207285991475626, -0.017887885590866664, 0.09678996436189334, -0.02416716062069579, -0.040654995450121495, -0.11539031173733914, -0.16506274319339567, 0.2961058712512986, 0.06333085926723855, 0.2970527375482617, 0.0734652633167392, 0.01438197716670625, -0.005383750783033852, -0.08723923782218088, 0.03992817052668589, -0.25830731606218954, 0.06867852927888372, 0.1658847193687903, 0.004287753994090974, 0.2197037619949987, -0.347500363736202, -0.20836995831445043, 0.10078382862666108, 0.11862215870938499, 0.04964116151713155, 0.009055279203879139, -0.2581629634097767, 0.09476564723449798, -0.11631105459249504, -0.13795492392350445, -0.03047042387463381, 0.06085464221488204, 0.05271617631125121, -0.28589262691914946, 0.2000797260015206, 0.014519247302122734, 0.12483574096056307, -0.07382294426506465, -0.15698212790845728, 0.00037277147653826906, 0.15561493473596003, 0.08536468465681091, -0.012586987410254914, 0.1748722467822897, -0.10341739517413766, -0.06013206641034057, 0.30796177056760876, -0.09415174857909689, -0.22209989078245782, 0.14593430708642433, -0.2135874547572818, -0.07712568855484479, 0.14623237391533844, 0.19480085012733656, 0.05373868674176968, -0.10062317448479632, 0.00786445826753414, 0.039585793589418924, 0.2695624972150827, 0.06262025382495456, 0.022459255810684177, 0.1387351039037154, 0.096024934584532, 0.08239368124767864, 0.09155431084129159, -0.15870249271392822, -0.06360493131850395, -0.2999741908654205, -0.07388746111648031, -0.19598677659555813, 0.03841330560118508, -0.18283452691452826, -0.1748775576606987, 0.412538478476641, 0.16666609626063403, 0.2154046835869185, 0.1326452380366212, 0.25160176572647014, 0.1675640180102761, 0.052597776733830204, 0.06840078780953229, 0.2288723888298485, 0.12276136173446738, 0.0693548820410038, -0.20732289615984967, 0.1339185791650067, 0.038150358265208684]
|
707.1751
|
Thermodynamics and superfluid density in BCS-BEC crossover with and
without population imbalance
|
We address the thermodynamics, density profiles and superfluid density of
trapped fermions undergoing BCS-BEC crossover, with and without population
imbalance. Our approach represents a fully consistent treatment of "pseudogap
effects", which reflect the distinction between the pair formation temperature
$T^*$ and the pair condensation temperature $T_c$ and must be accommodated by
modifying the fermionic excitation spectrum. This distinction has been omitted
from all other many body approaches in the literature. We show how enforcing
this corollary implies that pairing fluctuation contributions enter into both
the gap and the number equations; this is necessary in order to be consistent
with a generalized Ward identity. Furthermore, we demonstrate that we obtain
physical results for the superfluid density $n_s(T)$ at all $T$. In contrast,
previous work in the literature has led to ill-behaved $n_s(T)$. The superfluid
density is a critical measure of the physicality of a given crossover theory.
In order to properly address thermodynamic properties of a trapped Fermi gas,
it is necessary to demonstrate that the particle density profiles are
consistent with experiment. The lack of demonstrable consistency between
theoretical and experimental density profiles, along with problematic behavior
found for $n_s(T)$, casts doubt on previous claims in the literature concerning
quantitative agreement between thermodynamical calculations and experiment.
|
cond-mat.str-el cond-mat.quant-gas cond-mat.supr-con
|
we address the thermodynamics density profiles and superfluid density of trapped fermions undergoing bcsbec crossover with and without population imbalance our approach represents a fully consistent treatment of pseudogap effects which reflect the distinction between the pair formation temperature t and the pair condensation temperature t_c and must be accommodated by modifying the fermionic excitation spectrum this distinction has been omitted from all other many body approaches in the literature we show how enforcing this corollary implies that pairing fluctuation contributions enter into both the gap and the number equations this is necessary in order to be consistent with a generalized ward identity furthermore we demonstrate that we obtain physical results for the superfluid density n_st at all t in contrast previous work in the literature has led to illbehaved n_st the superfluid density is a critical measure of the physicality of a given crossover theory in order to properly address thermodynamic properties of a trapped fermi gas it is necessary to demonstrate that the particle density profiles are consistent with experiment the lack of demonstrable consistency between theoretical and experimental density profiles along with problematic behavior found for n_st casts doubt on previous claims in the literature concerning quantitative agreement between thermodynamical calculations and experiment
|
[['we', 'address', 'the', 'thermodynamics', 'density', 'profiles', 'and', 'superfluid', 'density', 'of', 'trapped', 'fermions', 'undergoing', 'bcsbec', 'crossover', 'with', 'and', 'without', 'population', 'imbalance', 'our', 'approach', 'represents', 'a', 'fully', 'consistent', 'treatment', 'of', 'pseudogap', 'effects', 'which', 'reflect', 'the', 'distinction', 'between', 'the', 'pair', 'formation', 'temperature', 't', 'and', 'the', 'pair', 'condensation', 'temperature', 't_c', 'and', 'must', 'be', 'accommodated', 'by', 'modifying', 'the', 'fermionic', 'excitation', 'spectrum', 'this', 'distinction', 'has', 'been', 'omitted', 'from', 'all', 'other', 'many', 'body', 'approaches', 'in', 'the', 'literature', 'we', 'show', 'how', 'enforcing', 'this', 'corollary', 'implies', 'that', 'pairing', 'fluctuation', 'contributions', 'enter', 'into', 'both', 'the', 'gap', 'and', 'the', 'number', 'equations', 'this', 'is', 'necessary', 'in', 'order', 'to', 'be', 'consistent', 'with', 'a', 'generalized', 'ward', 'identity', 'furthermore', 'we', 'demonstrate', 'that', 'we', 'obtain', 'physical', 'results', 'for', 'the', 'superfluid', 'density', 'n_st', 'at', 'all', 't', 'in', 'contrast', 'previous', 'work', 'in', 'the', 'literature', 'has', 'led', 'to', 'illbehaved', 'n_st', 'the', 'superfluid', 'density', 'is', 'a', 'critical', 'measure', 'of', 'the', 'physicality', 'of', 'a', 'given', 'crossover', 'theory', 'in', 'order', 'to', 'properly', 'address', 'thermodynamic', 'properties', 'of', 'a', 'trapped', 'fermi', 'gas', 'it', 'is', 'necessary', 'to', 'demonstrate', 'that', 'the', 'particle', 'density', 'profiles', 'are', 'consistent', 'with', 'experiment', 'the', 'lack', 'of', 'demonstrable', 'consistency', 'between', 'theoretical', 'and', 'experimental', 'density', 'profiles', 'along', 'with', 'problematic', 'behavior', 'found', 'for', 'n_st', 'casts', 'doubt', 'on', 'previous', 'claims', 'in', 'the', 'literature', 'concerning', 'quantitative', 'agreement', 'between', 'thermodynamical', 'calculations', 'and', 'experiment']]
|
[-0.11305790529298163, 0.15504123603990663, -0.11960159919170428, 0.062271474037789605, -0.03053419028173734, -0.1138285274608332, 0.07853433066126846, 0.347345129930351, -0.19665461169438236, -0.3118742395698735, 0.015085185601068571, -0.3245318782000432, -0.09273201911212894, 0.13200832333458695, -0.029550745596123622, 0.056810910998870735, 0.008617419660208946, 0.018120388030210165, -0.09596430253886247, -0.2106619418397528, 0.3358576418696315, 0.01825486096605496, 0.31804917679954936, 0.12837405893635184, 0.013573227210639461, -0.03192245035016349, 0.002197885537718974, 0.06214371836038975, -0.1668744752475937, 0.05434497632312326, 0.2583451946969574, 0.052885037753052866, 0.22968409952336868, -0.4229527897861542, -0.2589631610351063, 0.08088469943845446, 0.1423453231682906, 0.12342368124349007, -0.06427407802536957, -0.2544494901899049, 0.02689621752146089, -0.1932996131289859, -0.16405884570157317, -0.09746782219453344, 0.012095607724492845, -0.007754955801308082, -0.2312056031937087, 0.15584599037283978, 0.052903526079885035, 0.05286969265357893, -0.09764766725977132, -0.09435547085860925, -0.028466647147264296, 0.0976981011680463, 0.07865882282895804, 0.04956891253879927, 0.12055467558545467, -0.12617954970857365, -0.045083226474426974, 0.34585257947390663, -0.08364862421170348, -0.13444469866198172, 0.20498712810470712, -0.18204291985207463, -0.1338967740839772, 0.10725942587262942, 0.07865332813624934, 0.049411665434605505, -0.13494109569255316, 0.07202036391454297, -0.05980437819832411, 0.17867551017688243, 0.05233563422858353, 0.036622504131478266, 0.25822191132182815, 0.15480097620838404, 0.023319481647950915, 0.11240293144602193, -0.05853898433948081, -0.11920853415775357, -0.3255817456604931, -0.1323133136837481, -0.17534421531831645, 0.005658365003945468, -0.026823792991511528, -0.13343267017993535, 0.3458163913212789, 0.20342136758551435, 0.23406175854028138, 0.0363103172349635, 0.25919789797343873, 0.13347690481776192, 0.05467907196471413, 0.06969384645853301, 0.24409656368593857, 0.16413584142557155, 0.08753471103049272, -0.277797578910854, 0.07729285710504803, 0.04040077355581797]
|
707.1752
|
Large amplitude oscillatory motion along a solar filament
|
Large amplitude oscillations of solar filaments is a phenomenon known for
more than half a century. Recently, a new mode of oscillations, characterized
by periodical plasma motions along the filament axis, was discovered. We
analyze such an event, recorded on 23 January 2002 in Big Bear Solar
Observatory H$\alpha$ filtergrams, in order to infer the triggering mechanism
and the nature of the restoring force. Motion along the filament axis of a
distinct buldge-like feature was traced, to quantify the kinematics of the
oscillatory motion. The data were fitted by a damped sine function, to estimate
the basic parameters of the oscillations. In order to identify the triggering
mechanism, morphological changes in the vicinity of the filament were analyzed.
The observed oscillations of the plasma along the filament was characterized by
an initial displacement of 24 Mm, initial velocity amplitude of 51 km/s, period
of 50 min, and damping time of 115 min. We interpret the trigger in terms of
poloidal magnetic flux injection by magnetic reconnection at one of the
filament legs. The restoring force is caused by the magnetic pressure gradient
along the filament axis. The period of oscillations, derived from the
linearized equation of motion (harmonic oscillator) can be expressed as
$P=\pi\sqrt{2}L/v_{A\phi}\approx4.4L/v_{A\phi}$, where $v_{A\phi}
=B_{\phi0}/\sqrt{\mu_0\rho}$ represents the Alfv\'en speed based on the
equilibrium poloidal field $B_{\phi0}$. Combination of our measurements with
some previous observations of the same kind of oscillations shows a good
agreement with the proposed interpretation.
|
astro-ph
|
large amplitude oscillations of solar filaments is a phenomenon known for more than half a century recently a new mode of oscillations characterized by periodical plasma motions along the filament axis was discovered we analyze such an event recorded on 23 january 2002 in big bear solar observatory halpha filtergrams in order to infer the triggering mechanism and the nature of the restoring force motion along the filament axis of a distinct buldgelike feature was traced to quantify the kinematics of the oscillatory motion the data were fitted by a damped sine function to estimate the basic parameters of the oscillations in order to identify the triggering mechanism morphological changes in the vicinity of the filament were analyzed the observed oscillations of the plasma along the filament was characterized by an initial displacement of 24 mm initial velocity amplitude of 51 kms period of 50 min and damping time of 115 min we interpret the trigger in terms of poloidal magnetic flux injection by magnetic reconnection at one of the filament legs the restoring force is caused by the magnetic pressure gradient along the filament axis the period of oscillations derived from the linearized equation of motion harmonic oscillator can be expressed as ppisqrt2lv_aphiapprox44lv_aphi where v_aphi b_phi0sqrtmu_0rho represents the alfven speed based on the equilibrium poloidal field b_phi0 combination of our measurements with some previous observations of the same kind of oscillations shows a good agreement with the proposed interpretation
|
[['large', 'amplitude', 'oscillations', 'of', 'solar', 'filaments', 'is', 'a', 'phenomenon', 'known', 'for', 'more', 'than', 'half', 'a', 'century', 'recently', 'a', 'new', 'mode', 'of', 'oscillations', 'characterized', 'by', 'periodical', 'plasma', 'motions', 'along', 'the', 'filament', 'axis', 'was', 'discovered', 'we', 'analyze', 'such', 'an', 'event', 'recorded', 'on', '23', 'january', '2002', 'in', 'big', 'bear', 'solar', 'observatory', 'halpha', 'filtergrams', 'in', 'order', 'to', 'infer', 'the', 'triggering', 'mechanism', 'and', 'the', 'nature', 'of', 'the', 'restoring', 'force', 'motion', 'along', 'the', 'filament', 'axis', 'of', 'a', 'distinct', 'buldgelike', 'feature', 'was', 'traced', 'to', 'quantify', 'the', 'kinematics', 'of', 'the', 'oscillatory', 'motion', 'the', 'data', 'were', 'fitted', 'by', 'a', 'damped', 'sine', 'function', 'to', 'estimate', 'the', 'basic', 'parameters', 'of', 'the', 'oscillations', 'in', 'order', 'to', 'identify', 'the', 'triggering', 'mechanism', 'morphological', 'changes', 'in', 'the', 'vicinity', 'of', 'the', 'filament', 'were', 'analyzed', 'the', 'observed', 'oscillations', 'of', 'the', 'plasma', 'along', 'the', 'filament', 'was', 'characterized', 'by', 'an', 'initial', 'displacement', 'of', '24', 'mm', 'initial', 'velocity', 'amplitude', 'of', '51', 'kms', 'period', 'of', '50', 'min', 'and', 'damping', 'time', 'of', '115', 'min', 'we', 'interpret', 'the', 'trigger', 'in', 'terms', 'of', 'poloidal', 'magnetic', 'flux', 'injection', 'by', 'magnetic', 'reconnection', 'at', 'one', 'of', 'the', 'filament', 'legs', 'the', 'restoring', 'force', 'is', 'caused', 'by', 'the', 'magnetic', 'pressure', 'gradient', 'along', 'the', 'filament', 'axis', 'the', 'period', 'of', 'oscillations', 'derived', 'from', 'the', 'linearized', 'equation', 'of', 'motion', 'harmonic', 'oscillator', 'can', 'be', 'expressed', 'as', 'ppisqrt2lv_aphiapprox44lv_aphi', 'where', 'v_aphi', 'b_phi0sqrtmu_0rho', 'represents', 'the', 'alfven', 'speed', 'based', 'on', 'the', 'equilibrium', 'poloidal', 'field', 'b_phi0', 'combination', 'of', 'our', 'measurements', 'with', 'some', 'previous', 'observations', 'of', 'the', 'same', 'kind', 'of', 'oscillations', 'shows', 'a', 'good', 'agreement', 'with', 'the', 'proposed', 'interpretation']]
|
[-0.1924427532172326, 0.17521191035766412, -0.036493623052584995, 0.04969789125124349, -0.06899208684669847, -0.05454042244088301, 0.0006859232721097291, 0.35469041314927185, -0.25222882960942833, -0.35071683855766944, 0.08329001772787145, -0.24371315004493535, -0.09355814989502641, 0.21362796813606263, -0.0008301994334807262, 0.011547810988540345, 0.069013787099616, 0.025656560029675986, -0.021230724955255048, -0.15985988882231586, 0.23725599318425705, 0.09410209381975174, 0.2463592954931107, -0.04275058468585794, 0.11702643063048178, -0.06166891900703628, -0.045175352255922764, 0.014423865234439677, -0.11876279423186714, 0.020798284609763674, 0.12147382354720476, 0.05168594363086084, 0.23774027540447548, -0.44308273597679876, -0.1931295528453081, 0.0065971436786485165, 0.17845506503276448, 0.0585848288469393, 0.0019261169244233084, -0.28999902303627834, 0.024381491796985427, -0.09784916297116496, -0.2045969212883489, 0.023775574733364457, 0.07240011776113843, 0.05704770256428326, -0.24410564081069636, 0.15981924814429688, 0.03331170199201145, 0.11631798231330244, -0.11767184419874498, -0.053704169537237986, -0.0714429959308039, 0.0873943525941131, 0.09756188136327298, 0.10083395938210665, 0.19770837962389626, -0.09640457786302617, -0.09219216032330184, 0.34734035011460174, -0.08806069223290716, -0.06627376559308105, 0.143154744750404, -0.20347995145761585, -0.08874469199316933, 0.2137436753961238, 0.1368315561055305, 0.03874496373229046, -0.13940288885094057, -0.03161138263877798, -0.017734419764514932, 0.16393839746436223, 0.11786217719633528, -0.031453278750222066, 0.2473511544710144, 0.12977360081115857, 0.012590787038603361, 0.13541587398838292, -0.21170550406107957, -0.08289254524130771, -0.28912228897134673, -0.11706751810901976, -0.12814040682315728, 0.03148555625329151, -0.06477367760938037, -0.15843011004691746, 0.43981230819320427, 0.11474605706654133, 0.2423352615670004, -0.02715728307103223, 0.2655014763804192, 0.13009627667661916, 0.08309186206043183, 0.09450129703915816, 0.3289657709313844, 0.2099783993662989, 0.18277629286427288, -0.27674248494069154, 0.06924361684260533, 0.05805688467907145]
|
707.1753
|
On decomposition numbers with Jantzen filtration of cyclotomic $q$-Schur
algebras
|
Let $\Sc(\vL)$ be the cyclotomic $q$-Schur algebra associated to the
Ariki-Koike algebra $\He_{n,r}$, introduced by Dipper-James-Mathas. In this
paper, we consider $v$-decomposition numbers of $\Sc(\vL)$, namely
decomposition numbers with respect to the Jantzen filtrations of Weyl modules.
We prove, as a $v$-analogue of the result obtained by Shoji-Wada, a product
formula for $v$-decomposition numbers of $\Sc(\vL)$, which asserts that certain
$v$-decomposition numbers are expressed as a product of $v$-decomposition
numbers for various cyclotomic $q$-Schur algebras associated to Ariki-koike
algebras $\He_{n_i,r_i}$ of smaller rank. Moreover we prove a similar formula
for $v$-decomposition numbers of $\He_{n,r}$ by using a Schur functor.
|
math.RT math.QA
|
let scvl be the cyclotomic qschur algebra associated to the arikikoike algebra he_nr introduced by dipperjamesmathas in this paper we consider vdecomposition numbers of scvl namely decomposition numbers with respect to the jantzen filtrations of weyl modules we prove as a vanalogue of the result obtained by shojiwada a product formula for vdecomposition numbers of scvl which asserts that certain vdecomposition numbers are expressed as a product of vdecomposition numbers for various cyclotomic qschur algebras associated to arikikoike algebras he_n_ir_i of smaller rank moreover we prove a similar formula for vdecomposition numbers of he_nr by using a schur functor
|
[['let', 'scvl', 'be', 'the', 'cyclotomic', 'qschur', 'algebra', 'associated', 'to', 'the', 'arikikoike', 'algebra', 'he_nr', 'introduced', 'by', 'dipperjamesmathas', 'in', 'this', 'paper', 'we', 'consider', 'vdecomposition', 'numbers', 'of', 'scvl', 'namely', 'decomposition', 'numbers', 'with', 'respect', 'to', 'the', 'jantzen', 'filtrations', 'of', 'weyl', 'modules', 'we', 'prove', 'as', 'a', 'vanalogue', 'of', 'the', 'result', 'obtained', 'by', 'shojiwada', 'a', 'product', 'formula', 'for', 'vdecomposition', 'numbers', 'of', 'scvl', 'which', 'asserts', 'that', 'certain', 'vdecomposition', 'numbers', 'are', 'expressed', 'as', 'a', 'product', 'of', 'vdecomposition', 'numbers', 'for', 'various', 'cyclotomic', 'qschur', 'algebras', 'associated', 'to', 'arikikoike', 'algebras', 'he_n_ir_i', 'of', 'smaller', 'rank', 'moreover', 'we', 'prove', 'a', 'similar', 'formula', 'for', 'vdecomposition', 'numbers', 'of', 'he_nr', 'by', 'using', 'a', 'schur', 'functor']]
|
[-0.2221825616136986, 0.09795418935530681, -0.06432088415950854, 0.07697686729234386, -0.08021837593294046, -0.13896989994286063, -0.021796060378039057, 0.26211416408261085, -0.3717959419764737, -0.21800595222528965, 0.09742699094745826, -0.17982894858466758, -0.15676164987715, 0.2402849596469326, -0.16881361529429226, -0.05606601701336021, 0.0504761389450497, 0.12255297794918273, -0.08091845790152141, -0.23597837396293006, 0.4116935799730585, -0.025954754955006487, 0.19345725284136356, -0.01071421900377708, 0.10427106370990898, 0.02660374798653449, -0.001376557580017029, -0.003009244276983465, -0.1643794487269027, 0.1497231601499655, 0.3346858318533471, 0.09338049951722806, 0.23585116277706433, -0.34274231565204705, -0.011469077347391384, 0.19320534092889347, 0.16936574023008902, -0.041652588556431475, -0.002670646570821075, -0.2437959549096512, 0.12712911830749363, -0.30869008533339554, -0.15209033632987834, -0.08017775661094075, 0.05821810467688842, 0.060790526185263975, -0.30472007302686255, 0.018753861225745145, 0.04317486557633953, 0.15550591069907743, -0.07724688152108897, -0.18637132582234892, -0.06580744575377197, 0.03079424968900833, -0.030863766960968125, -0.026218360869530985, 0.054063247130351495, -0.07981550419316726, -0.21325602238760033, 0.3454216093201428, -0.021395885504465154, -0.2002420380731371, 0.058741867938574326, -0.18978274494231223, -0.19121296690440082, 0.07703231673866034, 0.013229405745229822, 0.12889440712906627, 0.015921142586368196, 0.15266507042651165, -0.181592199233103, -0.011712730257831355, 0.1908562682281704, 0.004601455902918539, 0.11336251876832164, -0.027558747129118506, -0.011768096730984907, 0.21437279419215555, 0.062308927942216, 0.014479027649863287, -0.3194540904914128, -0.2579362182877958, -0.1627692818403878, 0.16252256218750188, -0.1100364543319224, -0.18201829442516604, 0.36117839642820204, 0.09201554698433648, 0.1844888791005979, 0.19546482113729965, 0.1833484200290107, 0.11780129061724515, 0.14967994141253702, -0.0355344297304908, 0.04611826114891533, 0.3381007221264844, 0.005374530218838853, -0.06658983516922974, -0.03729343454432773, 0.29729715266086637]
|
707.1754
|
Emission Line Variability of the Accreting Young Brown Dwarf 2MASSW
J1207334-393254: From Hours to Years
|
We have obtained a series of high-resolution optical spectra for the brown
dwarf 2MASSW J1207334-393254 (2M1207) using the ESO Very Large Telescope with
the UVES spectrograph during two consecutive observing nights (time resolution
of ~12 min) and the Magellan Clay telescope with the MIKE spectrograph.
Combined with previously published results, these data allow us to investigate
changes in the emission line spectrum of 2M1207 on timescales of hours to
years. Most of the emission line profiles of 2M1207 are broad, in particular
that of Halpha, indicating that the dominant fraction of the emission must be
attributed to disk accretion rather than to magnetic activity. From the Halpha
10% width we deduce a relatively stable accretion rate between
10^(-10.1...-9.8) Msun/yr for two nights of consecutive observations.
Therefore, either the accretion stream is nearly homogeneous over (sub-)stellar
longitude or the system is seen face-on. Small but significant variations are
evident throughout our near-continuous observation, and they reach a maximum
after ~8 h, roughly the timescale on which maximum variability is expected
across the rotation cycle. Together with past measurements, we confirm that the
accretion rate of 2M1207 varies by more than one order of magnitude on
timescales of months to years. Such variable mass accretion yields a plausible
explanation for the observed spread in the accretion rate vs. mass diagram. The
magnetic field required to drive the funnel flow is on the order of a few
hundred G. Despite the obvious presence of a magnetic field, no radio nor X-ray
emission has been reported for 2M1207. Possibly strong accretion suppresses
magnetic activity in brown dwarfs, similar to the findings for higher mass T
Tauri stars.
|
astro-ph
|
we have obtained a series of highresolution optical spectra for the brown dwarf 2massw j1207334393254 2m1207 using the eso very large telescope with the uves spectrograph during two consecutive observing nights time resolution of 12 min and the magellan clay telescope with the mike spectrograph combined with previously published results these data allow us to investigate changes in the emission line spectrum of 2m1207 on timescales of hours to years most of the emission line profiles of 2m1207 are broad in particular that of halpha indicating that the dominant fraction of the emission must be attributed to disk accretion rather than to magnetic activity from the halpha 10 width we deduce a relatively stable accretion rate between 1010198 msunyr for two nights of consecutive observations therefore either the accretion stream is nearly homogeneous over substellar longitude or the system is seen faceon small but significant variations are evident throughout our nearcontinuous observation and they reach a maximum after 8 h roughly the timescale on which maximum variability is expected across the rotation cycle together with past measurements we confirm that the accretion rate of 2m1207 varies by more than one order of magnitude on timescales of months to years such variable mass accretion yields a plausible explanation for the observed spread in the accretion rate vs mass diagram the magnetic field required to drive the funnel flow is on the order of a few hundred g despite the obvious presence of a magnetic field no radio nor xray emission has been reported for 2m1207 possibly strong accretion suppresses magnetic activity in brown dwarfs similar to the findings for higher mass t tauri stars
|
[['we', 'have', 'obtained', 'a', 'series', 'of', 'highresolution', 'optical', 'spectra', 'for', 'the', 'brown', 'dwarf', '2massw', 'j1207334393254', '2m1207', 'using', 'the', 'eso', 'very', 'large', 'telescope', 'with', 'the', 'uves', 'spectrograph', 'during', 'two', 'consecutive', 'observing', 'nights', 'time', 'resolution', 'of', '12', 'min', 'and', 'the', 'magellan', 'clay', 'telescope', 'with', 'the', 'mike', 'spectrograph', 'combined', 'with', 'previously', 'published', 'results', 'these', 'data', 'allow', 'us', 'to', 'investigate', 'changes', 'in', 'the', 'emission', 'line', 'spectrum', 'of', '2m1207', 'on', 'timescales', 'of', 'hours', 'to', 'years', 'most', 'of', 'the', 'emission', 'line', 'profiles', 'of', '2m1207', 'are', 'broad', 'in', 'particular', 'that', 'of', 'halpha', 'indicating', 'that', 'the', 'dominant', 'fraction', 'of', 'the', 'emission', 'must', 'be', 'attributed', 'to', 'disk', 'accretion', 'rather', 'than', 'to', 'magnetic', 'activity', 'from', 'the', 'halpha', '10', 'width', 'we', 'deduce', 'a', 'relatively', 'stable', 'accretion', 'rate', 'between', '1010198', 'msunyr', 'for', 'two', 'nights', 'of', 'consecutive', 'observations', 'therefore', 'either', 'the', 'accretion', 'stream', 'is', 'nearly', 'homogeneous', 'over', 'substellar', 'longitude', 'or', 'the', 'system', 'is', 'seen', 'faceon', 'small', 'but', 'significant', 'variations', 'are', 'evident', 'throughout', 'our', 'nearcontinuous', 'observation', 'and', 'they', 'reach', 'a', 'maximum', 'after', '8', 'h', 'roughly', 'the', 'timescale', 'on', 'which', 'maximum', 'variability', 'is', 'expected', 'across', 'the', 'rotation', 'cycle', 'together', 'with', 'past', 'measurements', 'we', 'confirm', 'that', 'the', 'accretion', 'rate', 'of', '2m1207', 'varies', 'by', 'more', 'than', 'one', 'order', 'of', 'magnitude', 'on', 'timescales', 'of', 'months', 'to', 'years', 'such', 'variable', 'mass', 'accretion', 'yields', 'a', 'plausible', 'explanation', 'for', 'the', 'observed', 'spread', 'in', 'the', 'accretion', 'rate', 'vs', 'mass', 'diagram', 'the', 'magnetic', 'field', 'required', 'to', 'drive', 'the', 'funnel', 'flow', 'is', 'on', 'the', 'order', 'of', 'a', 'few', 'hundred', 'g', 'despite', 'the', 'obvious', 'presence', 'of', 'a', 'magnetic', 'field', 'no', 'radio', 'nor', 'xray', 'emission', 'has', 'been', 'reported', 'for', '2m1207', 'possibly', 'strong', 'accretion', 'suppresses', 'magnetic', 'activity', 'in', 'brown', 'dwarfs', 'similar', 'to', 'the', 'findings', 'for', 'higher', 'mass', 't', 'tauri', 'stars']]
|
[-0.1140816639222869, 0.13419800365740872, -0.05757633226184065, 0.05700361586230643, -0.10715300578843145, -0.10264043090865016, 0.046730512611889825, 0.4433588414617321, -0.17059933910059044, -0.3852567616028382, 0.10956725984536153, -0.2728243468890843, -0.008691902352010776, 0.25584655380996135, -0.05489282745368067, -0.0373325450666872, 0.10654047411170563, -0.04403395345092148, -0.039244378374646394, -0.27228618334372773, 0.2676906251217588, 0.07623405338809415, 0.1408397961058654, -0.017221419207464138, 0.059352846500266475, -0.09116726664668771, -0.07985691544394392, -0.019639621106976205, -0.14095427278000308, 0.020732014212118136, 0.2111464178896687, 0.09014447483530282, 0.2259465676102349, -0.3658025025652023, -0.21149866392164873, 0.06085499058741227, 0.1565249969066559, -0.004357773781949244, -0.019411539752154032, -0.22672994805650568, 0.06843887510202716, -0.1623618068806536, -0.1280370703761411, 0.060794024948871296, 0.09645307649300187, 0.005366293206915383, -0.24567056656686712, 0.11139217222251532, 0.026466361666440636, 0.15591457145466633, -0.14213726719197653, -0.08508987371041098, -0.07654195568380494, 0.08029240709198776, 0.07142886536723167, 0.07659765778739444, 0.1508285582980641, -0.11306819487671259, -0.04852609405198189, 0.35658537911127924, -0.13855522366975492, 0.060583991325556245, 0.2321153330609805, -0.27122815166812336, -0.14952533481033137, 0.2267114853260436, 0.14871800262378254, 0.14475952051340274, -0.11400051493921423, -0.024367850201944, -0.05195976332042312, 0.24816934156457565, 0.08048327630283036, 0.06189566716399414, 0.31490593776106834, 0.11500927558239817, 0.04198855696749353, 0.07393878145804218, -0.27247058115865325, -0.07087685901548385, -0.19965380607155728, -0.10561528778549366, -0.11495565428819698, 0.10875412409222918, -0.10322862316377937, -0.11364479721455342, 0.36980746117050706, 0.10999265217362657, 0.24298594485256164, 0.03448394292215252, 0.2868188564791447, 0.10156180496757289, 0.14018323114663978, 0.10253370107709676, 0.31761325621696684, 0.1664019652281936, 0.1482234026882318, -0.23580897094678435, 0.0862686713829616, -0.002879810526364428]
|
707.1755
|
Coupling to a phononic mode in $Bi_{2-x}Pb_xSr_2CaCu_2O_{8+\delta}$:
Angle-resolved photoemission
|
The kink in the dispersion and the drop in the width observed by
angle-resolved photoemission in the nodal direction of the Brillouin zone of
$\mathrm{Bi_{2-x}Pb_xSr_2CaCu_2O_{8+ \delta}}$ (abbreviated as (Pb)Bi2212) has
attracted broad interest [1-3]. Surprisingly optimally lead-doped (Pb)Bi2212
with $\mathrm{T_C>89K}$ as well as the shadow band were not investigated so
far, although the origin of the kink and the drop is still under strong debate.
In this context a resonant magnetic-mode scenario and an electron-phonon
coupling scenario are discussed controversially. Here we analyze the relevant
differences between both scenarios and conclude that the kink and the drop are
caused by a coupling of the electronic system to a phononic mode at least in
the nodal direction. It is found that besides the dispersion and the drop in
the width also the peak height as a new criterion can be used to define the
energy scale of the interaction, giving a new means for a precise and
consistent determination of the kink energy.
|
cond-mat.supr-con
|
the kink in the dispersion and the drop in the width observed by angleresolved photoemission in the nodal direction of the brillouin zone of mathrmbi_2xpb_xsr_2cacu_2o_8 delta abbreviated as pbbi2212 has attracted broad interest 13 surprisingly optimally leaddoped pbbi2212 with mathrmt_c89k as well as the shadow band were not investigated so far although the origin of the kink and the drop is still under strong debate in this context a resonant magneticmode scenario and an electronphonon coupling scenario are discussed controversially here we analyze the relevant differences between both scenarios and conclude that the kink and the drop are caused by a coupling of the electronic system to a phononic mode at least in the nodal direction it is found that besides the dispersion and the drop in the width also the peak height as a new criterion can be used to define the energy scale of the interaction giving a new means for a precise and consistent determination of the kink energy
|
[['the', 'kink', 'in', 'the', 'dispersion', 'and', 'the', 'drop', 'in', 'the', 'width', 'observed', 'by', 'angleresolved', 'photoemission', 'in', 'the', 'nodal', 'direction', 'of', 'the', 'brillouin', 'zone', 'of', 'mathrmbi_2xpb_xsr_2cacu_2o_8', 'delta', 'abbreviated', 'as', 'pbbi2212', 'has', 'attracted', 'broad', 'interest', '13', 'surprisingly', 'optimally', 'leaddoped', 'pbbi2212', 'with', 'mathrmt_c89k', 'as', 'well', 'as', 'the', 'shadow', 'band', 'were', 'not', 'investigated', 'so', 'far', 'although', 'the', 'origin', 'of', 'the', 'kink', 'and', 'the', 'drop', 'is', 'still', 'under', 'strong', 'debate', 'in', 'this', 'context', 'a', 'resonant', 'magneticmode', 'scenario', 'and', 'an', 'electronphonon', 'coupling', 'scenario', 'are', 'discussed', 'controversially', 'here', 'we', 'analyze', 'the', 'relevant', 'differences', 'between', 'both', 'scenarios', 'and', 'conclude', 'that', 'the', 'kink', 'and', 'the', 'drop', 'are', 'caused', 'by', 'a', 'coupling', 'of', 'the', 'electronic', 'system', 'to', 'a', 'phononic', 'mode', 'at', 'least', 'in', 'the', 'nodal', 'direction', 'it', 'is', 'found', 'that', 'besides', 'the', 'dispersion', 'and', 'the', 'drop', 'in', 'the', 'width', 'also', 'the', 'peak', 'height', 'as', 'a', 'new', 'criterion', 'can', 'be', 'used', 'to', 'define', 'the', 'energy', 'scale', 'of', 'the', 'interaction', 'giving', 'a', 'new', 'means', 'for', 'a', 'precise', 'and', 'consistent', 'determination', 'of', 'the', 'kink', 'energy']]
|
[-0.14632753830913697, 0.13274684652608387, -0.05637955430105234, 0.08645907503956504, -0.06669092972326694, -0.10584713267074025, 0.08358835483476802, 0.3828408404834026, -0.28365388034866484, -0.3147313536404149, 0.08745099384414291, -0.2906733997625924, -0.11627321051362949, 0.206653715305832, 0.011905875708318399, 0.03100157702412409, -0.001178682551872504, 0.02369663026331205, -0.06174320113385403, -0.14832736928269408, 0.3073597168564631, 0.0896895496186482, 0.2797129358005816, 0.13339680191122077, 0.039834722480837984, -0.022962034100819897, 0.04499532387863043, 0.0458768851925395, -0.14118313156792237, 0.0645781048655339, 0.21189276489323813, -0.005855114974340872, 0.2594897813470209, -0.3826324740259708, -0.22280792959544313, 0.033730202606478354, 0.18015843964641606, 0.10895510169727539, -0.054082910777835905, -0.2518430270867634, 0.06119118924429522, -0.1406373152884366, -0.1527770311259252, -0.02216329022982641, 0.0191740675658412, -0.017719387739920354, -0.19572162709720964, 0.09689755459987305, 0.028107342069314298, 0.05859595436390631, -0.05717704464575347, -0.07923970615293807, -0.08701328173002723, 0.0717779725106268, 0.10740509163293563, 0.03904651724320801, 0.08570323913185739, -0.1131860289142078, -0.08243067870564948, 0.3966609686237312, -0.07543015060651623, -0.12180182631893814, 0.15415157094049634, -0.1731479444328837, -0.0722400525413878, 0.14533828872645013, 0.12244932655881666, 0.08846165012285302, -0.1168770051113318, 0.05215466675632987, -0.05231011233033164, 0.15327421380383777, 0.07682303461405343, 0.07073150204400284, 0.23960541276544145, 0.17817710325139563, 0.040127807939307224, 0.11520978108953236, -0.15565483189111315, -0.04226110497772505, -0.2916181761111262, -0.14206555153573333, -0.15703191195045085, -0.013236631083658077, -0.03194883712900794, -0.1627218669746071, 0.42667535716325894, 0.10799597285369623, 0.24920932500316656, -0.023172634874788833, 0.23714637220395093, 0.15992243912312662, 0.07752309334641204, 0.07409575120310145, 0.32079057557555507, 0.12498086600570314, 0.11694571758985897, -0.2728542273251128, 0.08579393595020889, -0.021623858514454076]
|
707.1756
|
On the divisor function and the Riemann zeta-function in short intervals
|
We obtain, for $T^\epsilon \le U=U(T)\le T^{1/2-\epsilon}$, asymptotic
formulas for $$ \int_T^{2T}(E(t+U) - E(t))^2 dt,\quad \int_T^{2T}(\Delta(t+U) -
\Delta(t))^2 dt, $$ where $\Delta(x)$ is the error term in the classical
divisor problem, and $E(T)$ is the error term in the mean square formula for
$|\zeta(1/2+it)|$. Upper bounds of the form $O_\epsilon(T^{1+\epsilon}U^2)$ for
the above integrals with biquadrates instead of square are shown to hold for
$T^{3/8} \le U =U(T) \ll T^{1/2}$. The connection between the moments of
$E(t+U) - E(t)$ and $|\zeta(1/2+it)|$ is also given. Generalizations to some
other number-theoretic error terms are discussed.
|
math.NT
|
we obtain for tepsilon le uutle t12epsilon asymptotic formulas for int_t2tetu et2 dtquad int_t2tdeltatu deltat2 dt where deltax is the error term in the classical divisor problem and et is the error term in the mean square formula for zeta12it upper bounds of the form o_epsilont1epsilonu2 for the above integrals with biquadrates instead of square are shown to hold for t38 le u ut ll t12 the connection between the moments of etu et and zeta12it is also given generalizations to some other numbertheoretic error terms are discussed
|
[['we', 'obtain', 'for', 'tepsilon', 'le', 'uutle', 't12epsilon', 'asymptotic', 'formulas', 'for', 'int_t2tetu', 'et2', 'dtquad', 'int_t2tdeltatu', 'deltat2', 'dt', 'where', 'deltax', 'is', 'the', 'error', 'term', 'in', 'the', 'classical', 'divisor', 'problem', 'and', 'et', 'is', 'the', 'error', 'term', 'in', 'the', 'mean', 'square', 'formula', 'for', 'zeta12it', 'upper', 'bounds', 'of', 'the', 'form', 'o_epsilont1epsilonu2', 'for', 'the', 'above', 'integrals', 'with', 'biquadrates', 'instead', 'of', 'square', 'are', 'shown', 'to', 'hold', 'for', 't38', 'le', 'u', 'ut', 'll', 't12', 'the', 'connection', 'between', 'the', 'moments', 'of', 'etu', 'et', 'and', 'zeta12it', 'is', 'also', 'given', 'generalizations', 'to', 'some', 'other', 'numbertheoretic', 'error', 'terms', 'are', 'discussed']]
|
[-0.14054617130364302, 0.08826846816795475, -0.022513463334352883, 0.12506252177559804, -0.04846693779468352, -0.14063853502595497, 0.03649768086127293, 0.2917654534778845, -0.26592305997087634, -0.2723139919179641, 0.12037470518973553, -0.34443637634409063, -0.13685686915917436, 0.24447350926053377, -0.08601805784385277, 0.03773114606766835, -0.018842320820247685, 0.10028944879103406, -0.11320219218248019, -0.29456290173815725, 0.24080386734855028, 0.00760305288857148, 0.15731201310538584, 0.07832136786223769, 0.08912850169028029, -0.011992508488028873, 0.044844869777192306, -0.06707396137493628, -0.24792843287592226, 0.05038174640611504, 0.2090730527760806, 0.05747377759788507, 0.23041930894746823, -0.32945561400948115, -0.12040882604771558, 0.12499327955330596, 0.15828728830487823, 0.00160857569857466, 0.046955579802692854, -0.24416378669348765, 0.10907372934628784, -0.11590906279161572, -0.14073512128289836, -0.04160437314702129, 0.10828058828634245, 0.09706381572709408, -0.3712819932707022, 0.1763562972130639, 0.10450527234790548, 0.044876682062929406, -0.010501409817578983, -0.2677285309742998, 0.04712378324503884, 0.08819849443633432, 0.07812594285775205, 0.08029172926520307, -0.02675733332131288, -0.10072841281200656, -0.03502863726038256, 0.29917425846244083, -0.07633329708313133, -0.22803049674832526, 0.04029827867706456, -0.15140744175669957, -0.11731859452930497, 0.07543648357710077, 0.085657421996771, 0.11466461254490747, -0.09465258624864581, 0.18207565321224845, -0.03692452241609126, 0.1078757196434854, 0.12390368519189918, 0.06113075180968017, 0.05992393355879841, 0.06896526004291242, 0.07856868862111213, 0.09811992716851908, -0.10641613476665368, -0.09920468169873879, -0.3817059801500521, -0.18768699236076186, -0.21625279015459029, 0.05585301983641622, -0.13265767531939437, -0.16004170522195815, 0.27958787815288905, 0.0874306075641437, 0.17434478187782657, 0.1873648881935227, 0.16304481733176443, 0.19597873013512587, -0.01643921637815642, 0.11218261669596864, 0.20123876961426707, 0.18126368255894862, 0.042209796190698756, -0.1877138671223764, 0.05273951068635524, 0.2080700191421963]
|
707.1757
|
Coalescence of Rotating Black Holes on Eguchi-Hanson Space
|
We obtain new charged rotating multi-black hole solutions on the
Eguchi-Hanson space in the five-dimensional Einstein-Maxwell system with a
Chern-Simons term and a positive cosmological constant. In the two-black holes
case, these solutions describe the coalescence of two rotating black holes with
the spatial topologies of S^3 into a single rotating black hole with the
spatial topology of the lens space S^3/Z_2. We discuss the differences in the
horizon areas between our solutions and the two-centered Klemm-Sabra solutions
which describe the coalescence of two rotating black holes with the spatial
topologies of S^3 into a single rotating black hole with the spatial topology
of S^3.
|
hep-th gr-qc
|
we obtain new charged rotating multiblack hole solutions on the eguchihanson space in the fivedimensional einsteinmaxwell system with a chernsimons term and a positive cosmological constant in the twoblack holes case these solutions describe the coalescence of two rotating black holes with the spatial topologies of s3 into a single rotating black hole with the spatial topology of the lens space s3z_2 we discuss the differences in the horizon areas between our solutions and the twocentered klemmsabra solutions which describe the coalescence of two rotating black holes with the spatial topologies of s3 into a single rotating black hole with the spatial topology of s3
|
[['we', 'obtain', 'new', 'charged', 'rotating', 'multiblack', 'hole', 'solutions', 'on', 'the', 'eguchihanson', 'space', 'in', 'the', 'fivedimensional', 'einsteinmaxwell', 'system', 'with', 'a', 'chernsimons', 'term', 'and', 'a', 'positive', 'cosmological', 'constant', 'in', 'the', 'twoblack', 'holes', 'case', 'these', 'solutions', 'describe', 'the', 'coalescence', 'of', 'two', 'rotating', 'black', 'holes', 'with', 'the', 'spatial', 'topologies', 'of', 's3', 'into', 'a', 'single', 'rotating', 'black', 'hole', 'with', 'the', 'spatial', 'topology', 'of', 'the', 'lens', 'space', 's3z_2', 'we', 'discuss', 'the', 'differences', 'in', 'the', 'horizon', 'areas', 'between', 'our', 'solutions', 'and', 'the', 'twocentered', 'klemmsabra', 'solutions', 'which', 'describe', 'the', 'coalescence', 'of', 'two', 'rotating', 'black', 'holes', 'with', 'the', 'spatial', 'topologies', 'of', 's3', 'into', 'a', 'single', 'rotating', 'black', 'hole', 'with', 'the', 'spatial', 'topology', 'of', 's3']]
|
[-0.21639191611326364, 0.07625654869649595, -0.03517220246162519, 0.12149523036753379, -0.05739623633692566, -0.13376940636289786, -0.032821503639655206, 0.2782188841295474, -0.13456680846301097, -0.2830580024645456, 0.1036131272953709, -0.33098929499285024, -0.08491772979280902, 0.15403726210510268, -0.031017778387058128, 0.002746566137732956, -9.569256720178336e-05, 0.04198074788171617, -0.16212431062917107, -0.219149547186002, 0.43664001638648436, 0.0031529106217401456, 0.22038533009624886, -0.05033558369297715, 0.1269916615401422, -0.01679167064196132, 0.03936666587381217, 0.09849156894058766, -0.21434576859589197, 0.07914706296061427, 0.18093229941933334, 0.11507931702037894, 0.14196969662765854, -0.4368954117871025, -0.24552318177104576, 0.04933105471987024, 0.17095084400684799, 0.17065586310978617, -0.1339358242954245, -0.32018637061978067, 0.05036937568372893, -0.21131834331832067, -0.15056325666136244, -0.0191481427981256, 0.05489881159466447, 0.02660713409010357, -0.1714374442738526, 0.06740741028893486, 0.05786879507155673, -0.12875138361061228, -0.15800035228157072, 0.026436928701496602, -0.08468455200318645, 0.11216069030964258, 0.18459033853944065, 0.05649749996045659, 0.13901389057033706, -0.09552714089383778, -0.14247581710840024, 0.3283321959264938, -0.08219516018486935, -0.3116205061595995, 0.17493605282772512, -0.28165025217910705, -0.10788577406676216, 0.11800392977079575, 0.16663532701402323, 0.24983714901598045, -0.09764165845835238, 0.14348591943565323, -0.024131362738982927, 0.18010884704683155, 0.1359425064456622, 0.06745710671490547, 0.4333053142266366, 0.17689970770434846, 0.02094444831905579, 0.1842246829233702, -0.09647920157407745, -0.11783999655377662, -0.295115764641646, -0.14771269223408648, -0.09549877491047226, 0.1184691496157241, -0.25462018337651177, -0.22055300030387143, 0.3627597629861201, -0.00896804685731536, 0.20375146998716429, 0.023739919564867554, 0.22126791464925366, -0.006803932286645241, 0.011393186873620719, 0.13254365344866387, 0.2990291058546434, 0.10146390354640565, 0.15604917622325057, -0.2429947591798145, -0.15799665622847173, 0.14930230414820383]
|
707.1758
|
Track Reconstruction and Performance of DRIFT Directional Dark Matter
Detectors using Alpha Particles
|
First results are presented from an analysis of data from the DRIFT-IIa and
DRIFT-IIb directional dark matter detectors at Boulby Mine in which alpha
particle tracks were reconstructed and used to characterise detector
performance--an important step towards optimising directional technology. The
drift velocity in DRIFT-IIa was [59.3 +/- 0.2 (stat) +/- 7.5 (sys)] m/s based
on an analysis of naturally-occurring alpha-emitting background. The drift
velocity in DRIFT-IIb was [57 +/- 1 (stat) +/- 3 (sys)] m/s determined by the
analysis of alpha particle tracks from a Po-210 source. 3D range reconstruction
and energy spectra were used to identify alpha particles from the decay of
Rn-222, Po-218, Rn-220 and Po-216. This study found that (22 +/- 2)% of Po-218
progeny (from Rn-222 decay) are produced with no net charge in 40 Torr CS2. For
Po-216 progeny (from Rn-220 decay) the uncharged fraction is (100 +0 -35)%.
|
physics.ins-det
|
first results are presented from an analysis of data from the driftiia and driftiib directional dark matter detectors at boulby mine in which alpha particle tracks were reconstructed and used to characterise detector performancean important step towards optimising directional technology the drift velocity in driftiia was 593 02 stat 75 sys ms based on an analysis of naturallyoccurring alphaemitting background the drift velocity in driftiib was 57 1 stat 3 sys ms determined by the analysis of alpha particle tracks from a po210 source 3d range reconstruction and energy spectra were used to identify alpha particles from the decay of rn222 po218 rn220 and po216 this study found that 22 2 of po218 progeny from rn222 decay are produced with no net charge in 40 torr cs2 for po216 progeny from rn220 decay the uncharged fraction is 100 0 35
|
[['first', 'results', 'are', 'presented', 'from', 'an', 'analysis', 'of', 'data', 'from', 'the', 'driftiia', 'and', 'driftiib', 'directional', 'dark', 'matter', 'detectors', 'at', 'boulby', 'mine', 'in', 'which', 'alpha', 'particle', 'tracks', 'were', 'reconstructed', 'and', 'used', 'to', 'characterise', 'detector', 'performancean', 'important', 'step', 'towards', 'optimising', 'directional', 'technology', 'the', 'drift', 'velocity', 'in', 'driftiia', 'was', '593', '02', 'stat', '75', 'sys', 'ms', 'based', 'on', 'an', 'analysis', 'of', 'naturallyoccurring', 'alphaemitting', 'background', 'the', 'drift', 'velocity', 'in', 'driftiib', 'was', '57', '1', 'stat', '3', 'sys', 'ms', 'determined', 'by', 'the', 'analysis', 'of', 'alpha', 'particle', 'tracks', 'from', 'a', 'po210', 'source', '3d', 'range', 'reconstruction', 'and', 'energy', 'spectra', 'were', 'used', 'to', 'identify', 'alpha', 'particles', 'from', 'the', 'decay', 'of', 'rn222', 'po218', 'rn220', 'and', 'po216', 'this', 'study', 'found', 'that', '22', '2', 'of', 'po218', 'progeny', 'from', 'rn222', 'decay', 'are', 'produced', 'with', 'no', 'net', 'charge', 'in', '40', 'torr', 'cs2', 'for', 'po216', 'progeny', 'from', 'rn220', 'decay', 'the', 'uncharged', 'fraction', 'is', '100', '0', '35']]
|
[-0.005787171744224098, 0.18814579440923235, -0.05353918858648588, 0.04269652302480406, 0.033493040581406265, -0.11918363908254025, -0.0006582476095192962, 0.3356511028552497, -0.17926204835789072, -0.40590665936470033, 0.060771248733228145, -0.3769249345072442, 0.01651081278644226, 0.2044545137875334, -0.015264110044208119, 0.04180731540890755, 0.049862827227830336, 0.0007646956274078952, -0.02637219046656456, -0.14696122592797986, 0.18357589102039734, 0.09543894972410742, 0.2653730884608295, 0.00528674460257645, 0.10513327180459682, -0.021554476883331383, -0.11557346622425096, -0.05848601076889921, -0.18170003379308144, 0.040223133750259876, 0.20182309105164475, 0.09314035428342995, 0.17400705113282633, -0.3394713054238646, -0.11561777024978288, 0.0910979777712513, 0.15415366260265861, 0.022813195648766986, -0.09684769809677231, -0.31760413389721953, 0.14296600151186187, -0.15503896239593074, -0.10558997610307953, 0.062087102015330284, 0.04996968685752816, 0.028993561641416615, -0.24902234057274958, 0.16012505980001557, -0.010684920790070598, 0.06642093313857914, -0.09430601184980737, -0.20215113553459998, -0.031181111852465956, 0.055130720669748605, 0.06286605021105734, 0.08237000159332873, 0.21335103178948717, -0.08812278409971407, -0.06774689282670066, 0.3385424656310567, -0.11336781323232033, -0.11731869215555317, 0.15488772248952754, -0.17787135132346993, -0.10816058101201499, 0.2802441942815979, 0.17919694689550886, 0.10658202673550006, -0.19185793739226129, 0.018266036149321332, 0.04321042916013135, 0.2578597423655015, 0.1097322568849281, -0.029845994277167377, 0.20112356044765975, 0.165015812613139, 0.013672450971272256, 0.06521021053367466, -0.23322349434063114, -0.006662786037971576, -0.27054848603352355, -0.17897074485684883, -0.1024767857355376, 0.09161248059977811, -0.04459015912574681, -0.0499376886282806, 0.3145930358639884, 0.08781925338423914, 0.18104266135746405, 0.012151530723915331, 0.21060956893488764, 0.03276885150052193, 0.0416314230731654, 0.054903613493122436, 0.2673895965589003, 0.16286484468900772, 0.15089731095962364, -0.17330993242837764, 0.04127444401900801, -0.0205716314777318]
|
707.1759
|
Torsional shear oscillations in the neutron star crust driven by
restoring force of elastic stresses
|
We present several exact solutions of the eigenfrequency problem for
torsional shear vibrations in homogeneous and non-homogeneous models of the
neutron star crust governed by canonical equation of solid mechanics with a
restoring force of Hookean elasticity. Particular attention is given to regime
of large lengthscale nodeless axisymmetric differentially rotational
oscillations which are treated in spherical polar coordinates reflecting real
geometry of the neutron star crust. Highlighted is the distinction between
analytic forms and numerical estimates of the frequency, computed as a function
of multipole degree of nodeless torsional oscillations and fractional depth of
the crust, caused by different boundary conditions imposed on the toroidal
field of material displacements. The relevance of considered models to
quasiperiodic oscillations, recently detected during the flare of SGR 1806-20
and SGR 1900+14, is discussed.
|
astro-ph
|
we present several exact solutions of the eigenfrequency problem for torsional shear vibrations in homogeneous and nonhomogeneous models of the neutron star crust governed by canonical equation of solid mechanics with a restoring force of hookean elasticity particular attention is given to regime of large lengthscale nodeless axisymmetric differentially rotational oscillations which are treated in spherical polar coordinates reflecting real geometry of the neutron star crust highlighted is the distinction between analytic forms and numerical estimates of the frequency computed as a function of multipole degree of nodeless torsional oscillations and fractional depth of the crust caused by different boundary conditions imposed on the toroidal field of material displacements the relevance of considered models to quasiperiodic oscillations recently detected during the flare of sgr 180620 and sgr 190014 is discussed
|
[['we', 'present', 'several', 'exact', 'solutions', 'of', 'the', 'eigenfrequency', 'problem', 'for', 'torsional', 'shear', 'vibrations', 'in', 'homogeneous', 'and', 'nonhomogeneous', 'models', 'of', 'the', 'neutron', 'star', 'crust', 'governed', 'by', 'canonical', 'equation', 'of', 'solid', 'mechanics', 'with', 'a', 'restoring', 'force', 'of', 'hookean', 'elasticity', 'particular', 'attention', 'is', 'given', 'to', 'regime', 'of', 'large', 'lengthscale', 'nodeless', 'axisymmetric', 'differentially', 'rotational', 'oscillations', 'which', 'are', 'treated', 'in', 'spherical', 'polar', 'coordinates', 'reflecting', 'real', 'geometry', 'of', 'the', 'neutron', 'star', 'crust', 'highlighted', 'is', 'the', 'distinction', 'between', 'analytic', 'forms', 'and', 'numerical', 'estimates', 'of', 'the', 'frequency', 'computed', 'as', 'a', 'function', 'of', 'multipole', 'degree', 'of', 'nodeless', 'torsional', 'oscillations', 'and', 'fractional', 'depth', 'of', 'the', 'crust', 'caused', 'by', 'different', 'boundary', 'conditions', 'imposed', 'on', 'the', 'toroidal', 'field', 'of', 'material', 'displacements', 'the', 'relevance', 'of', 'considered', 'models', 'to', 'quasiperiodic', 'oscillations', 'recently', 'detected', 'during', 'the', 'flare', 'of', 'sgr', '180620', 'and', 'sgr', '190014', 'is', 'discussed']]
|
[-0.18426596095355657, 0.19167547708090682, -0.04224902932317211, 0.05015286102873058, -0.13346061947074933, -0.09120867823322232, 0.012566545790132996, 0.3273379790525024, -0.26118626340578954, -0.2663511907395262, 0.05938714568753942, -0.2320505799439091, -0.10504756257332001, 0.21720117892926702, -0.03184269372633515, 0.05074756399620897, 0.04869122929924812, 0.01984777968341055, -0.0850222965917335, -0.12329544788383198, 0.29320756640428536, 0.050535674169301416, 0.2324784525992492, -0.009117920428084639, 0.07668388598025418, -0.07933821011191378, 0.00231577274031364, 0.02259292511556011, -0.18308351154454822, 0.06801114691188559, 0.22679914930514106, 0.025372623372823, 0.19022548221624813, -0.5242961967937075, -0.26121217377770406, 0.052338811038778375, 0.10878080150936371, 0.0653064076958869, -0.012777207301965413, -0.27991074674243394, 0.005850063201572854, -0.17113961222359927, -0.20256617193181928, -0.044482517077659184, 0.09541117588523776, 0.0576483503736269, -0.23574130709927815, 0.18643468961907694, 0.0945655641074364, 0.0896613407566642, -0.20305918905740747, -0.08179931869873634, -0.04041313798381732, 0.03951218302021376, 0.1373624578386975, 0.055200688648395814, 0.15464919418669665, -0.11734493310706547, -0.035375489932126726, 0.3702683046961633, -0.04607628457104931, -0.16226904193799083, 0.14878373679418402, -0.19787800538783462, -0.10317680508686373, 0.1465017185618098, 0.14794077061188335, 0.12149935495108366, -0.12049092508834572, 0.03009573681315837, -0.010448741084502007, 0.13625952193620972, 0.14049511856327837, -0.011448948819620105, 0.2675492156547709, 0.16673046546056866, -0.010331837693229318, 0.15848844460426614, -0.16605618097102987, -0.08826195240880434, -0.3103801588241297, -0.038938707176846665, -0.1844482645392418, 0.036179004369590144, -0.10769125447707036, -0.2097316721239342, 0.3713404664984689, 0.01557288529494634, 0.13435526609044665, -0.04042980585587569, 0.24952020657857737, 0.11034052257981294, 0.0289950411587667, 0.08102389017048363, 0.32069210332030285, 0.254798973718873, 0.08891417758467679, -0.29830300233488044, 0.03828339147954606, 0.07677546714414628]
|
707.176
|
E_0-dilation of strongly commuting CP_0-semigroups
|
We prove that every strongly commuting pair of CP_0-semigroups has a minimal
E_0-dilation. This is achieved in two major steps, interesting in themselves:
1: we show that a strongly commuting pair of CP_0-semigroups can be represented
via a two parameter product system representation; 2: we prove that every fully
coisometric product system representation has a fully coisometric, isometric
dilation. In particular, we obtain that every commuting pair of CP_0-semigroups
on B(H), H finite dimensional, has an E_0-dilation.
|
math.OA
|
we prove that every strongly commuting pair of cp_0semigroups has a minimal e_0dilation this is achieved in two major steps interesting in themselves 1 we show that a strongly commuting pair of cp_0semigroups can be represented via a two parameter product system representation 2 we prove that every fully coisometric product system representation has a fully coisometric isometric dilation in particular we obtain that every commuting pair of cp_0semigroups on bh h finite dimensional has an e_0dilation
|
[['we', 'prove', 'that', 'every', 'strongly', 'commuting', 'pair', 'of', 'cp_0semigroups', 'has', 'a', 'minimal', 'e_0dilation', 'this', 'is', 'achieved', 'in', 'two', 'major', 'steps', 'interesting', 'in', 'themselves', '1', 'we', 'show', 'that', 'a', 'strongly', 'commuting', 'pair', 'of', 'cp_0semigroups', 'can', 'be', 'represented', 'via', 'a', 'two', 'parameter', 'product', 'system', 'representation', '2', 'we', 'prove', 'that', 'every', 'fully', 'coisometric', 'product', 'system', 'representation', 'has', 'a', 'fully', 'coisometric', 'isometric', 'dilation', 'in', 'particular', 'we', 'obtain', 'that', 'every', 'commuting', 'pair', 'of', 'cp_0semigroups', 'on', 'bh', 'h', 'finite', 'dimensional', 'has', 'an', 'e_0dilation']]
|
[-0.1890808693314721, 0.16857745999930723, -0.062164978753146416, -0.0016760768780073561, -0.006372784116220745, -0.16954690546958479, -0.0470654574742952, 0.4095769029461428, -0.2902115087036963, -0.1527002065974687, 0.08223361141114895, -0.295442435624344, -0.16148788665645067, 0.17379080037308203, -0.08156155359435391, -0.02655832508167663, 0.1373013880636011, 0.1207567497591984, -0.08656527134650327, -0.24735196711882562, 0.37266718598639037, -0.10983993508550641, 0.18908195584625392, 0.042472457773257775, 0.18403929671538727, 0.04856728011584998, 0.0062593338865931936, 0.04338170914584166, -0.1076239423675904, 0.08664419699169985, 0.2304865334352309, 0.15359780177861065, 0.27595404366805376, -0.34739436391875594, -0.15940312518701924, 0.21744315533040018, 0.18106997292488813, 0.0296495650477659, -0.0642380460313606, -0.23000243304345708, 0.10345241929972906, -0.23825366594284386, -0.09032984645190564, -0.08426192550399861, 0.06655218517528726, -0.05931129285388372, -0.2875214516148939, 0.017388358600316692, 0.13459507882740204, 0.020035856125223173, -0.03005577205353743, -0.042389074591435975, -0.08826095978548, 0.10720853536547005, -0.05986465960317715, 0.07210966613288823, 0.046050861932174, -0.014560808552835022, -0.16471671365661086, 0.31757059098257645, -0.08589668468535915, -0.24320219164448126, 0.16177372336417872, -0.19029417394527368, -0.18483795490502924, 0.0832605425558694, 0.1065442565489899, 0.12103033970509257, -0.12924439660515394, 0.14912016157593047, -0.17469496589589428, 0.1658674914438229, 0.05138439085189398, -0.0057697228047174295, 0.16711622503186976, 0.12787484033819432, 0.1426398723519274, 0.13414618744085507, 0.041643162387991685, -0.01055667492524757, -0.32660418477925385, -0.21487738479944793, -0.1681242161490894, 0.11975941007545629, -0.09858898529420038, -0.14972259302611474, 0.3797719189050523, 0.07350174201177676, 0.22596412822120376, 0.028856828445931532, 0.2019329916976102, 0.14569036263742713, 0.0672156424684958, 0.10601275215264071, 0.16657460633931415, 0.12491264427685506, -0.04644402948679862, -0.13937367097922154, -0.0019816321792540613, 0.17778267574726375]
|
707.1761
|
On Excess of the Odious Primes
|
We give a more strong heuristic justification of our conjecture on the excess
of the odious primes.
|
math.NT
|
we give a more strong heuristic justification of our conjecture on the excess of the odious primes
|
[['we', 'give', 'a', 'more', 'strong', 'heuristic', 'justification', 'of', 'our', 'conjecture', 'on', 'the', 'excess', 'of', 'the', 'odious', 'primes']]
|
[-0.17901336562628037, -0.024594586726058933, -0.21475274882772388, 0.16859529474202326, -0.11014406514518402, -0.10710056539734497, 0.13201843399335356, 0.29186900529791326, -0.14277183220666997, -0.29469117456499266, -0.013365480637944797, -0.25804217593908746, -0.1206867738681681, 0.2045459138941677, -0.11578602371189524, -0.020358389900887713, 0.06193017543238752, 0.016325630028458202, -0.017617328092455864, -0.34785113728824346, 0.2762281103607486, 0.030569670174051735, 0.20614930154646144, 0.18149139239069292, 0.06668124646496247, 0.016258116866297582, 0.01837791738045566, -0.03995417562477729, -0.17456787246662905, 0.19857031093424132, 0.1986479603630655, 0.17859123304814978, 0.30052541240173225, -0.4401281593805727, -0.13155167745700216, 0.15015856746365042, 0.08805412829250973, 0.08206078848418068, -0.10741647321693189, -0.2497691575656919, 0.15469450284452999, -0.14860216396696427, -0.1479454872691456, -0.0986513304798042, 0.04712860790245673, 0.0041082106968935795, -0.25039761907914104, 0.11171910057173055, 0.2179078159525114, 0.154170750421198, -0.05093189863049809, -0.208053980680073, 0.07607891516047804, -0.013887824408490868, 0.11288314915316947, -0.021684937165392673, 9.341159945025163e-05, -0.09879100843168356, -0.17381000924198067, 0.32491088044994015, -0.03526808858356055, -0.10857991655083264, 0.15615909064517303, -0.12940709939336076, -0.16718559372512734, 0.1273019015789032, 0.07743724446524591, 0.15213977107230356, -0.004402129636967883, 0.05408623496837476, -0.23256464965422363, 0.15123639672118075, 0.09683861046591226, 0.02785589570617851, 0.16839923775371382, 0.13077698472668142, 0.11277786286219078, 0.15719274957390392, -0.049566063139697206, 0.0010182179565377096, -0.40363985212410197, -0.16765293013304472, -0.16678318315569093, 0.12431297243079718, -0.15009018176180475, -0.21034695317640023, 0.36627230439882946, 0.186535598764963, 0.19793413951992989, 0.19035338221446557, 0.253448548124117, 0.12832345548496746, 0.016236399574314848, 0.029550882713759646, 0.19717081066440134, 0.14688885365338886, -0.010682858937584302, -0.15504502351669705, 0.05929722625981359, 0.1210446317187127]
|
707.1762
|
Continuous Opinion Dynamics under Bounded Confidence: A Survey
|
Models of continuous opinion dynamics under bounded confidence have been
presented independently by Krause and Hegselmann and by Deffuant et al in 2000.
They have raised a fair amount of attention in the communities of social
simulation, sociophysics and complexity science. The researchers working on it
come from disciplines as physics, mathematics, computer science, social
psychology and philosophy.
Agents hold continuous opinions which they can gradually adjust if they hear
the opinions of others. The idea of bounded confidence is that agents only
interact if they are close in opinion to each other. Usually, the models are
analyzed with agent-based simulations in a Monte-Carlo style, but they can also
be reformulated on the agent's density in the opinion space in a
master-equation style. This paper is to present the agent-based and
density-based modeling frameworks including the cases of multidimensional
opinions and heterogeneous bounds of confidence; second, to give the
bifurcation diagrams of cluster configuration in the homogeneous model with
uniformly distributed initial opinions; third to review the several extensions
and the evolving phenomena which have been studied so far; and fourth to state
some basic open questions.
|
physics.soc-ph math.DS nlin.AO
|
models of continuous opinion dynamics under bounded confidence have been presented independently by krause and hegselmann and by deffuant et al in 2000 they have raised a fair amount of attention in the communities of social simulation sociophysics and complexity science the researchers working on it come from disciplines as physics mathematics computer science social psychology and philosophy agents hold continuous opinions which they can gradually adjust if they hear the opinions of others the idea of bounded confidence is that agents only interact if they are close in opinion to each other usually the models are analyzed with agentbased simulations in a montecarlo style but they can also be reformulated on the agents density in the opinion space in a masterequation style this paper is to present the agentbased and densitybased modeling frameworks including the cases of multidimensional opinions and heterogeneous bounds of confidence second to give the bifurcation diagrams of cluster configuration in the homogeneous model with uniformly distributed initial opinions third to review the several extensions and the evolving phenomena which have been studied so far and fourth to state some basic open questions
|
[['models', 'of', 'continuous', 'opinion', 'dynamics', 'under', 'bounded', 'confidence', 'have', 'been', 'presented', 'independently', 'by', 'krause', 'and', 'hegselmann', 'and', 'by', 'deffuant', 'et', 'al', 'in', '2000', 'they', 'have', 'raised', 'a', 'fair', 'amount', 'of', 'attention', 'in', 'the', 'communities', 'of', 'social', 'simulation', 'sociophysics', 'and', 'complexity', 'science', 'the', 'researchers', 'working', 'on', 'it', 'come', 'from', 'disciplines', 'as', 'physics', 'mathematics', 'computer', 'science', 'social', 'psychology', 'and', 'philosophy', 'agents', 'hold', 'continuous', 'opinions', 'which', 'they', 'can', 'gradually', 'adjust', 'if', 'they', 'hear', 'the', 'opinions', 'of', 'others', 'the', 'idea', 'of', 'bounded', 'confidence', 'is', 'that', 'agents', 'only', 'interact', 'if', 'they', 'are', 'close', 'in', 'opinion', 'to', 'each', 'other', 'usually', 'the', 'models', 'are', 'analyzed', 'with', 'agentbased', 'simulations', 'in', 'a', 'montecarlo', 'style', 'but', 'they', 'can', 'also', 'be', 'reformulated', 'on', 'the', 'agents', 'density', 'in', 'the', 'opinion', 'space', 'in', 'a', 'masterequation', 'style', 'this', 'paper', 'is', 'to', 'present', 'the', 'agentbased', 'and', 'densitybased', 'modeling', 'frameworks', 'including', 'the', 'cases', 'of', 'multidimensional', 'opinions', 'and', 'heterogeneous', 'bounds', 'of', 'confidence', 'second', 'to', 'give', 'the', 'bifurcation', 'diagrams', 'of', 'cluster', 'configuration', 'in', 'the', 'homogeneous', 'model', 'with', 'uniformly', 'distributed', 'initial', 'opinions', 'third', 'to', 'review', 'the', 'several', 'extensions', 'and', 'the', 'evolving', 'phenomena', 'which', 'have', 'been', 'studied', 'so', 'far', 'and', 'fourth', 'to', 'state', 'some', 'basic', 'open', 'questions']]
|
[-0.054848446947756535, 0.1161676474764724, -0.10161655532186203, 0.08374381241485736, -0.12416512954959785, -0.15249106947936175, 0.06680707630195859, 0.4099465932716979, -0.27207526711517954, -0.3197881700969077, 0.10047035643713857, -0.28019478105202833, -0.1522377275657606, 0.13904307613194108, -0.09740615669976581, 0.025277710796762158, 0.05126444886520724, 0.05778012688416131, 0.058703433110299, -0.3563567517551887, 0.28729691675348695, 0.03867162028476994, 0.2567048454881312, 0.01492903279831613, 0.0685387075241197, -0.021626538199865642, -0.0491891840079371, 0.039636728041817386, -0.16773187366014947, 0.10772724774850403, 0.3322522071155394, 0.1810859273589978, 0.38022935995085033, -0.4341343613092434, -0.22555487609672595, 0.08469927187431305, 0.13086010718638486, 0.10290397126037742, -0.009141998443961701, -0.3526678617326493, 0.0413865941417289, -0.2072087015015357, -0.09115715339321663, -0.05556111705695207, 0.030228730254398192, 0.0865849490765542, -0.1985419809925345, 0.032437425623317924, 0.07580818427076226, 0.0821814418043244, -0.034685538469111536, -0.12138071884326437, -0.030225722968359205, 0.1621314052493625, 0.04918509543148731, 0.003933671287903413, 0.13485585306248166, -0.1504207942077646, -0.1690303437899858, 0.37740566143591736, 0.008484968561977944, -0.20391905626884715, 0.23212022957657238, -0.11371045208531108, -0.17482291102249992, 0.03685621757379031, 0.20137385010500164, 0.07115329665077083, -0.15900819178391745, 0.10215037894798791, -0.06772721680142682, 0.15309688323090243, 0.062221150090768534, -0.04003996840543687, 0.19740710777534362, 0.13175538189729108, 0.03270919116794127, 0.0602424386636613, 0.040406903278152335, -0.21084236940225826, -0.20641647888357467, -0.08455743862161622, -0.16531106911320737, -0.0003412311627743716, -0.051313713675409676, -0.13930079249981392, 0.38599163663130315, 0.17027750236037023, 0.15319033038107066, 0.04213507843554334, 0.2445760612042352, 0.06361091611994042, 0.01372774481215579, 0.10195745235398651, 0.21751530170157418, 0.08885813222842896, 0.1575319951818509, -0.10008309722051927, 0.12841331975205855, 0.027857232834355667]
|
707.1763
|
The two dimensional spin and its resonance fringe
|
Violation of Bell's Inequalities gives experimental evidence for the
existence of a spin 1/2 which has two simultaneous axes of spin quantization
rather than one. These couple to form a resonance state, called the spin
fringe, and this quantum effect is solely responsible for violation of Bell's
Inequalities within this model. The Bell states can be represented by products
of these spin states and leads to the intuitive concept that as entangled
states decompose they form biparticles that are not entangled. In EPR
coincidence experiments filter settings for both the Bell and CHSH forms of
Bell's Inequalities are rationalized in terms of the correlation between
biparticles.
|
physics.gen-ph
|
violation of bells inequalities gives experimental evidence for the existence of a spin 12 which has two simultaneous axes of spin quantization rather than one these couple to form a resonance state called the spin fringe and this quantum effect is solely responsible for violation of bells inequalities within this model the bell states can be represented by products of these spin states and leads to the intuitive concept that as entangled states decompose they form biparticles that are not entangled in epr coincidence experiments filter settings for both the bell and chsh forms of bells inequalities are rationalized in terms of the correlation between biparticles
|
[['violation', 'of', 'bells', 'inequalities', 'gives', 'experimental', 'evidence', 'for', 'the', 'existence', 'of', 'a', 'spin', '12', 'which', 'has', 'two', 'simultaneous', 'axes', 'of', 'spin', 'quantization', 'rather', 'than', 'one', 'these', 'couple', 'to', 'form', 'a', 'resonance', 'state', 'called', 'the', 'spin', 'fringe', 'and', 'this', 'quantum', 'effect', 'is', 'solely', 'responsible', 'for', 'violation', 'of', 'bells', 'inequalities', 'within', 'this', 'model', 'the', 'bell', 'states', 'can', 'be', 'represented', 'by', 'products', 'of', 'these', 'spin', 'states', 'and', 'leads', 'to', 'the', 'intuitive', 'concept', 'that', 'as', 'entangled', 'states', 'decompose', 'they', 'form', 'biparticles', 'that', 'are', 'not', 'entangled', 'in', 'epr', 'coincidence', 'experiments', 'filter', 'settings', 'for', 'both', 'the', 'bell', 'and', 'chsh', 'forms', 'of', 'bells', 'inequalities', 'are', 'rationalized', 'in', 'terms', 'of', 'the', 'correlation', 'between', 'biparticles']]
|
[-0.13540580826987214, 0.19039061932411608, -0.08540884775816868, 0.10050624297417805, -0.04193913224943966, -0.20251644632058605, 0.018379820582131803, 0.3116801050667352, -0.21692731461137915, -0.2990588276067151, 0.0430388109437805, -0.2833991986787263, -0.08795698377180775, 0.1936817263947132, 0.0010614863812115113, 0.03384417836677353, 0.03428217159355727, 0.006675433833152056, -0.07908319806754764, -0.21366854267247584, 0.2924871000434922, -0.0246758546893274, 0.280573650847523, 0.060597470170765555, 0.07771624133148987, 0.04514703229245431, 0.07103988877497613, 0.015726634002519103, -0.054292930383043024, 0.1436587491974384, 0.25753774040571925, 0.16726380062096244, 0.23267822623042003, -0.4171438764183308, -0.12617944766995762, 0.11803985185227094, 0.1032713217977083, 0.14021068331587813, -0.023613692533646553, -0.37854193732634467, -0.027885834405304125, -0.1544411718924442, -0.11207733258060268, -0.13894367631950924, -0.012418024356143092, -0.04973898532817948, -0.2807908908261935, 0.196604412389515, 0.09992456665226337, 0.02893638880022819, -0.013120330272699302, -0.07799710491496437, 0.02043967243319131, 0.05008889452273132, -0.0038710283060593284, -0.03054393598598973, 0.10805140339048966, -0.09841847787435465, -0.24094200297203883, 0.3180873704511883, -0.0001701465704893465, -0.2586205052233846, 0.14729752286144024, -0.16970655336571894, -0.12008689762145844, 0.06609408370271888, 0.08776742125914064, 0.0736825386422493, -0.13322915518129208, -0.011961364364668832, -0.10303741783114537, 0.1668756094778765, 0.11797496114137038, 0.17042011458356426, 0.22573784501555394, 0.04181609206112488, 0.07556803183155661, 0.14935060636961903, -0.06727273881277245, -0.14244376834073402, -0.3553458958301904, -0.22225499308211202, -0.24796067963284002, 0.1088406488779583, -0.06428848450329651, -0.08518038441444624, 0.3973351441596125, 0.08463920975754143, 0.14642228326707515, -0.00645239036068988, 0.19775053692261144, 0.09309656799327196, 0.10828960480449616, -0.009052567603505866, 0.32928513139837756, 0.20689107360151368, 0.05574915479025189, -0.2260225945688292, 0.13190080500471424, 0.025662221014499664]
|
707.1764
|
Spin structure function g_1 at small x and arbitrary $Q^2: Total
resummaion of leading logarithms vs Standard Approach
|
The Standard Approach (SA) for description of the structure function g_1
combines the DGLAP evolution equations and Standard Fits for the initial parton
densities. The DGLAP equations describe the region of large Q^2 and large x, so
there are not theoretical grounds to exploit them at small x. In practice,
extrapolation of DGLAP into the region of large Q^2 and small x is done with
complementing DGLAP with special, singular (~x^{-a}) phenomenological fits for
the initial parton densities. The factors x^{-a} are wrongly believed to be of
the non-perturbative origin. Actually, they mimic the resummation of logs of x
and should be expelled from the fits when the resummation is accounted for.
Contrary to SA, the resummaton of logarithms of x is a straightforward and
natural way to describe g_1 in the small-x region. This approach can be used at
both large and small Q^2 where DGLAP cannot be used by definition. Confronting
this approach and SA demonstrates that the singular initial parton densities
and the power Q^2-corrections (or at least a sizable part of them) are rather
not real physical phenomena but the artefacts caused by extrapolating DGLAP
into the small-x region.
|
hep-ph
|
the standard approach sa for description of the structure function g_1 combines the dglap evolution equations and standard fits for the initial parton densities the dglap equations describe the region of large q2 and large x so there are not theoretical grounds to exploit them at small x in practice extrapolation of dglap into the region of large q2 and small x is done with complementing dglap with special singular xa phenomenological fits for the initial parton densities the factors xa are wrongly believed to be of the nonperturbative origin actually they mimic the resummation of logs of x and should be expelled from the fits when the resummation is accounted for contrary to sa the resummaton of logarithms of x is a straightforward and natural way to describe g_1 in the smallx region this approach can be used at both large and small q2 where dglap cannot be used by definition confronting this approach and sa demonstrates that the singular initial parton densities and the power q2corrections or at least a sizable part of them are rather not real physical phenomena but the artefacts caused by extrapolating dglap into the smallx region
|
[['the', 'standard', 'approach', 'sa', 'for', 'description', 'of', 'the', 'structure', 'function', 'g_1', 'combines', 'the', 'dglap', 'evolution', 'equations', 'and', 'standard', 'fits', 'for', 'the', 'initial', 'parton', 'densities', 'the', 'dglap', 'equations', 'describe', 'the', 'region', 'of', 'large', 'q2', 'and', 'large', 'x', 'so', 'there', 'are', 'not', 'theoretical', 'grounds', 'to', 'exploit', 'them', 'at', 'small', 'x', 'in', 'practice', 'extrapolation', 'of', 'dglap', 'into', 'the', 'region', 'of', 'large', 'q2', 'and', 'small', 'x', 'is', 'done', 'with', 'complementing', 'dglap', 'with', 'special', 'singular', 'xa', 'phenomenological', 'fits', 'for', 'the', 'initial', 'parton', 'densities', 'the', 'factors', 'xa', 'are', 'wrongly', 'believed', 'to', 'be', 'of', 'the', 'nonperturbative', 'origin', 'actually', 'they', 'mimic', 'the', 'resummation', 'of', 'logs', 'of', 'x', 'and', 'should', 'be', 'expelled', 'from', 'the', 'fits', 'when', 'the', 'resummation', 'is', 'accounted', 'for', 'contrary', 'to', 'sa', 'the', 'resummaton', 'of', 'logarithms', 'of', 'x', 'is', 'a', 'straightforward', 'and', 'natural', 'way', 'to', 'describe', 'g_1', 'in', 'the', 'smallx', 'region', 'this', 'approach', 'can', 'be', 'used', 'at', 'both', 'large', 'and', 'small', 'q2', 'where', 'dglap', 'can', 'not', 'be', 'used', 'by', 'definition', 'confronting', 'this', 'approach', 'and', 'sa', 'demonstrates', 'that', 'the', 'singular', 'initial', 'parton', 'densities', 'and', 'the', 'power', 'q2corrections', 'or', 'at', 'least', 'a', 'sizable', 'part', 'of', 'them', 'are', 'rather', 'not', 'real', 'physical', 'phenomena', 'but', 'the', 'artefacts', 'caused', 'by', 'extrapolating', 'dglap', 'into', 'the', 'smallx', 'region']]
|
[-0.053724754411329435, 0.1110832205498203, -0.1532574311592422, 0.159686396699423, -0.0624120911306818, -0.07673815930320416, 0.004538955865427852, 0.35460234114240546, -0.22133685511895843, -0.24373780697351322, 0.05259455109019958, -0.26233380820121965, -0.013722058505663881, 0.15412632979253735, -0.014764541828602281, 0.05589831377437804, 0.047398592692237194, -0.0380879829293311, -0.0636705572608965, -0.22372824317305154, 0.3678156935578348, 0.012988968184799887, 0.21831391499533007, 0.08307367900609582, 0.08709217997723802, -0.007397092744819626, -0.04163615115976427, 0.005200306538123793, -0.10555710650460999, 0.04281429492887886, 0.29352670705338824, 0.10007083918511246, 0.19155404147992763, -0.4052789468611688, -0.15678858995670453, 0.07512347735731358, 0.1582420094734213, 0.09912529261540233, 0.049668743090781696, -0.24464643003496653, 0.10915707164046277, -0.19594257125330236, -0.1921120275486222, -0.13552684767879933, -0.04170105850789696, 0.010587007272988558, -0.32240480517945497, 0.07244298984005582, 0.03138846648410739, -0.026983513103914447, 0.010475917899990842, -0.19779884903255152, -0.05465275299987601, 0.08101024522405471, 0.09362371766837896, 0.11989753090165323, 0.1161198381378199, -0.17790918309644135, -0.04449772687197159, 0.4002448001532078, 0.00393584102615326, -0.17335185578364568, 0.1280248739143038, -0.2486034420968887, -0.12868278020747917, 0.1737321023883851, 0.1682693191572374, 0.12360737231877768, -0.1758500678352751, 0.16179958321542168, 0.0023435586263076402, 0.1622838435190109, 0.05138649119786957, 0.008753874187580854, 0.16376041381833298, 0.15333618818021932, -0.024371021752206918, 0.026391039022807188, -0.039068948861010235, -0.11268523112964128, -0.3781067268622185, -0.051329809253123436, -0.13843419090214107, 0.10755562534685244, -0.131728356395494, -0.14247789793201568, 0.34295795779326, 0.10719696726785817, 0.247652997643551, 0.03148343815943614, 0.3121546253581376, 0.1547438833937728, 0.12434163862781134, 0.09739436486415798, 0.20973441687723002, 0.11054013263371114, 0.10810727290178572, -0.19360787914411048, 0.06994694641859193, 0.05739755558897741]
|
707.1765
|
On the discriminant of elliptic curves with non-trivial torsion
|
For those elliptic curves defined over the rational with non--trivial torsion
subgroup, we find a tight relationship between the torsion subgroup itself and
a Galois group naturally arising from the curve.
|
math.NT
|
for those elliptic curves defined over the rational with nontrivial torsion subgroup we find a tight relationship between the torsion subgroup itself and a galois group naturally arising from the curve
|
[['for', 'those', 'elliptic', 'curves', 'defined', 'over', 'the', 'rational', 'with', 'nontrivial', 'torsion', 'subgroup', 'we', 'find', 'a', 'tight', 'relationship', 'between', 'the', 'torsion', 'subgroup', 'itself', 'and', 'a', 'galois', 'group', 'naturally', 'arising', 'from', 'the', 'curve']]
|
[-0.27725710449439867, 0.05909943534812379, -0.17019228571124614, 0.08487961561449113, -0.18833396328432905, -0.13374069227927154, 0.03688413145080689, 0.333002406360221, -0.44634261366821104, -0.2934889440094271, 0.03299161251033506, -0.27443156102972643, -0.1516517069896743, 0.2928499045871919, -0.1661194520852258, -0.053127177480247714, -0.012755415432395474, 0.1444604599457835, -0.1363815160152773, -0.22825601494931166, 0.41484798803444833, -0.09468345776680977, 0.20714334452584868, -0.029524905787360285, 0.10004126358657114, 0.02952849809380789, -0.013166078989724479, -0.035688401139791937, -0.13239091340332262, 0.1216506042307423, 0.30499217174045984, -0.031014538054624872, 0.10846522942513055, -0.34053166847555866, -0.18441690669785585, 0.30032471634988345, 0.08393869600108554, -0.04101289135794486, -0.07766529812567657, -0.24300510947021745, 0.03329325767774736, -0.1821415995157534, -0.16036251409640234, 0.00031547521000667927, 0.06875018234695157, 0.0027915219806375043, -0.1740978982735185, 0.024300527864045674, 0.018695188956635612, 0.2318267143451639, -0.0469176409946334, -0.06504687408526097, -0.09475578061274943, 0.08487198384658944, 0.07357622044641644, 0.06722979698209994, 0.05036036966128215, -0.10027247369890252, -0.059407331470039584, 0.40801522808690227, -0.12383850766045432, -0.16068793358581682, 0.0777737254336957, -0.16082377230087597, -0.1392648080063443, 0.15297642722725868, 0.10234849022761468, 0.1080463670734917, 0.013779069657527631, 0.1810706811187218, -0.1805360208475782, 0.1058150876178256, 0.036323630281033054, -0.07427745967382385, 0.1793353207138998, -0.015413636972586955, 0.036877252371801485, 0.11241727274647283, 0.05996039569858582, -0.037173216711849935, -0.4138591919214495, -0.16086234684072195, -0.007300051289700692, 0.12494256251281308, -0.15159909423551476, -0.1775880437945166, 0.4338201992213726, -0.04413643091796867, 0.18152488135702669, 0.15287779070316784, 0.17098395850869916, 0.05572566972865212, 0.07282484857545744, 0.10960402351713949, 0.1589436176563463, 0.2279135390154777, -0.16269711833522324, -0.229491715311944, -0.044513823614726146, 0.16929561656809622]
|
707.1766
|
Harmonic analysis on local fields and adelic spaces I
|
We develop a harmonic analysis on objects of some category $C_2$ of
infinite-dimensional filtered vector spaces over a finite field. It includes
two-dimensional local fields and adelic spaces of algebraic surfaces defined
over a finite field. The main result is the theory of the Fourier transform on
these objects and two-dimensional Poisson formulas.
|
math.AG math.NT
|
we develop a harmonic analysis on objects of some category c_2 of infinitedimensional filtered vector spaces over a finite field it includes twodimensional local fields and adelic spaces of algebraic surfaces defined over a finite field the main result is the theory of the fourier transform on these objects and twodimensional poisson formulas
|
[['we', 'develop', 'a', 'harmonic', 'analysis', 'on', 'objects', 'of', 'some', 'category', 'c_2', 'of', 'infinitedimensional', 'filtered', 'vector', 'spaces', 'over', 'a', 'finite', 'field', 'it', 'includes', 'twodimensional', 'local', 'fields', 'and', 'adelic', 'spaces', 'of', 'algebraic', 'surfaces', 'defined', 'over', 'a', 'finite', 'field', 'the', 'main', 'result', 'is', 'the', 'theory', 'of', 'the', 'fourier', 'transform', 'on', 'these', 'objects', 'and', 'twodimensional', 'poisson', 'formulas']]
|
[-0.1637918156536542, 0.09680598470786551, -0.13444960887438423, 0.10514759839257612, -0.09146845569166373, -0.06440945864953804, -0.01831904905277111, 0.3736883611681889, -0.31846479769304115, -0.16144194940702533, 0.10771286899645655, -0.18743336130425614, -0.1638749004605244, 0.2699940412773153, -0.11789191585283436, 0.012296702993928262, -0.015503591805134179, 0.08922014143845101, -0.10770937092690114, -0.3044013505766414, 0.41900787868906025, -0.0737541573438442, 0.2466878354865706, -0.03144534356575811, 0.1695085700847349, 0.08277911426640062, -0.08822301604767453, 0.02341950502035753, -0.14547602217951966, 0.17550063848425196, 0.2677988746326487, 0.02252893158638815, 0.23782510792107303, -0.36950383767626194, -0.2216585659650418, 0.12194921148343468, 0.10362000693127794, 0.049308317080842996, -0.00991110406148265, -0.3103427515136746, 0.0773789601330206, -0.13710819532708177, -0.10783312452148716, -0.11070571066635959, 0.01499954195921573, 0.07089430823008407, -0.226123313015362, -0.012662999648249374, 0.12106060996906445, 0.17726858667941447, -0.15991408434995222, -0.08208414832051, -0.02952925042899431, 0.06608596120363558, -0.014346504184188988, 0.050200049317318876, 0.12351201660052505, -0.07566470304890624, -0.10644258718656481, 0.376503870927922, -0.0908920294253753, -0.24356628466344807, 0.16183126016678112, -0.15612210482710376, -0.11152068165324207, 0.14788366968409633, 0.1441116868254711, 0.17596044851783313, -0.031974250538590945, 0.23123242567020977, -0.11626221534778487, 0.07231517582428905, 0.05701884423505585, 0.021919761995240202, 0.16805305584984007, 0.07130706699494764, 0.08625931674087385, 0.13835961949783113, -0.0656930779388069, -0.11186533521219455, -0.3775272237242393, -0.21632255027773525, -0.1756971923651982, 0.09472856834258463, -0.1142454343965444, -0.2635482969289681, 0.4109556657385151, 0.05142409073294334, 0.166161653445155, 0.09030735968910861, 0.2512513021674921, 0.12115568414611637, 0.049084608671518995, 0.0010944690889204448, 0.07313224781614307, 0.3047775932288957, 0.027562151922194182, -0.08641113225757233, -0.1048446843611463, 0.2050350820821411]
|
707.1767
|
The spectral data for Hamiltonian stationary Lagrangian tori in R^4
|
This article determines the spectral data, in the integrable systems sense,
for all weakly conformally immersed Hamiltonian stationary Lagrangian in
$\R^4$. This enables us to describe their moduli space and the locus of branch
points of such an immersion. This is also an informative example in integrable
systems geometry, since the group of ambient isometries acts non-trivially on
the spectral data and the relevant energy functional (the area) need not be
constant under deformations by higher flows.
|
math.DG math.SG
|
this article determines the spectral data in the integrable systems sense for all weakly conformally immersed hamiltonian stationary lagrangian in r4 this enables us to describe their moduli space and the locus of branch points of such an immersion this is also an informative example in integrable systems geometry since the group of ambient isometries acts nontrivially on the spectral data and the relevant energy functional the area need not be constant under deformations by higher flows
|
[['this', 'article', 'determines', 'the', 'spectral', 'data', 'in', 'the', 'integrable', 'systems', 'sense', 'for', 'all', 'weakly', 'conformally', 'immersed', 'hamiltonian', 'stationary', 'lagrangian', 'in', 'r4', 'this', 'enables', 'us', 'to', 'describe', 'their', 'moduli', 'space', 'and', 'the', 'locus', 'of', 'branch', 'points', 'of', 'such', 'an', 'immersion', 'this', 'is', 'also', 'an', 'informative', 'example', 'in', 'integrable', 'systems', 'geometry', 'since', 'the', 'group', 'of', 'ambient', 'isometries', 'acts', 'nontrivially', 'on', 'the', 'spectral', 'data', 'and', 'the', 'relevant', 'energy', 'functional', 'the', 'area', 'need', 'not', 'be', 'constant', 'under', 'deformations', 'by', 'higher', 'flows']]
|
[-0.17005477889211146, 0.11454788072060419, -0.09123766092982676, 0.073499949210529, -0.0882915052730445, -0.09795660281239392, -0.022396075478815412, 0.3470183276123815, -0.265750307567847, -0.23833068871459404, 0.11709724152732834, -0.2601333357417932, -0.16953441421440862, 0.185185738706163, -0.1356780425427699, 0.022795590426917974, 0.037184656500913106, 0.07657027418132532, -0.07355566392955068, -0.277090669331419, 0.41495116809745886, 0.0318410454027645, 0.2731558248981253, 0.035838692935105027, 0.12182349375110459, 0.03717735374660848, 0.01097472205111007, -0.0014584125628144566, -0.16815244618125938, 0.13635572298829043, 0.28824454771850694, 0.06020145746576902, 0.17322655511995802, -0.39831566940025465, -0.2188084576424066, 0.16334638552280603, 0.1430694962331614, 0.0629104022299508, 0.015816983225598158, -0.26271003589953307, 0.008849508806385777, -0.10216250187148909, -0.1983256386230131, -0.11874965421081364, 0.008774406603210933, -0.0025274658261181474, -0.1770820025953331, 0.02517885497926928, 0.09123484293745782, 0.06306682290001349, -0.09494257326443474, -0.012519965202293613, -0.08734618572445658, 0.1247610774302444, 0.0339206358895625, 0.05734349747019058, 0.1459095881308441, -0.09816742971140359, -0.005845143043968294, 0.3903434375276813, -0.07863061257347755, -0.2853077996594759, 0.18069494690280408, -0.11645971629889561, -0.1528838133354756, 0.1600222782195582, 0.14974530942907388, 0.15011486677791586, -0.1669588331979784, 0.19667499085325846, -0.021441615049049935, 0.14091722051576747, 0.02721620212889627, 0.02188259952810484, 0.18015338614123402, 0.10974160719711284, 0.1525172760782691, 0.09939708570230076, -0.02657834263578928, -0.0774229756653212, -0.35694447227499704, -0.18650464435386194, -0.14086320043039544, 0.08698125122218581, -0.1160228841861728, -0.18818597761043288, 0.3899376972143042, 0.06649271865653528, 0.208777999795683, 0.015147208302680935, 0.21187965627517794, 0.08452748984412907, 0.05753230916142657, 0.10687122327674713, 0.2010016292333603, 0.12630455559059106, 0.05893236460986656, -0.18883078680645868, -0.07185714561855058, 0.11868549952307691]
|
707.1768
|
Greybody factors in a rotating black-hole background-II : fermions and
gauge bosons
|
We study the emission of fermion and gauge boson degrees of freedom on the
brane by a rotating higher-dimensional black hole. Using matching techniques,
for the near-horizon and far-field regime solutions, we solve analytically the
corresponding field equations of motion. From this, we derive analytical
results for the absorption probabilities and Hawking radiation emission rates,
in the low-energy and low-rotation case, for both species of fields. We produce
plots of these, comparing them to existing exact numerical results with very
good agreement. We also study the total absorption cross-section and
demonstrate that, as in the non-rotating case, it has a different behaviour for
fermions and gauge bosons in the low-energy limit, while it follows a universal
behaviour -- reaching a constant, spin-independent, asymptotic value -- in the
high-energy regime.
|
hep-th hep-ph
|
we study the emission of fermion and gauge boson degrees of freedom on the brane by a rotating higherdimensional black hole using matching techniques for the nearhorizon and farfield regime solutions we solve analytically the corresponding field equations of motion from this we derive analytical results for the absorption probabilities and hawking radiation emission rates in the lowenergy and lowrotation case for both species of fields we produce plots of these comparing them to existing exact numerical results with very good agreement we also study the total absorption crosssection and demonstrate that as in the nonrotating case it has a different behaviour for fermions and gauge bosons in the lowenergy limit while it follows a universal behaviour reaching a constant spinindependent asymptotic value in the highenergy regime
|
[['we', 'study', 'the', 'emission', 'of', 'fermion', 'and', 'gauge', 'boson', 'degrees', 'of', 'freedom', 'on', 'the', 'brane', 'by', 'a', 'rotating', 'higherdimensional', 'black', 'hole', 'using', 'matching', 'techniques', 'for', 'the', 'nearhorizon', 'and', 'farfield', 'regime', 'solutions', 'we', 'solve', 'analytically', 'the', 'corresponding', 'field', 'equations', 'of', 'motion', 'from', 'this', 'we', 'derive', 'analytical', 'results', 'for', 'the', 'absorption', 'probabilities', 'and', 'hawking', 'radiation', 'emission', 'rates', 'in', 'the', 'lowenergy', 'and', 'lowrotation', 'case', 'for', 'both', 'species', 'of', 'fields', 'we', 'produce', 'plots', 'of', 'these', 'comparing', 'them', 'to', 'existing', 'exact', 'numerical', 'results', 'with', 'very', 'good', 'agreement', 'we', 'also', 'study', 'the', 'total', 'absorption', 'crosssection', 'and', 'demonstrate', 'that', 'as', 'in', 'the', 'nonrotating', 'case', 'it', 'has', 'a', 'different', 'behaviour', 'for', 'fermions', 'and', 'gauge', 'bosons', 'in', 'the', 'lowenergy', 'limit', 'while', 'it', 'follows', 'a', 'universal', 'behaviour', 'reaching', 'a', 'constant', 'spinindependent', 'asymptotic', 'value', 'in', 'the', 'highenergy', 'regime']]
|
[-0.09406439514141383, 0.1242536723267243, -0.060867770391655716, 0.11272492405947473, -0.03751561064896445, -0.12180351290492503, 0.056233884546700426, 0.3557292423394369, -0.15544798137715424, -0.28000697386487733, 0.04807901376671356, -0.3185561654207436, -0.09513515115561565, 0.19555926949379776, 0.018038493452784347, 0.06009662499665979, 0.03551484932059672, 0.01203031116348552, -0.051871598007040116, -0.20643474025226485, 0.3196164931896634, 0.0539106509545598, 0.2732814605985805, 0.06040792529815881, 0.09508454967583493, 0.022482067661902565, 0.027670258828475486, 0.028581763830358587, -0.1758117722295244, 0.06948065609986505, 0.2226266535897336, 0.05296657646192223, 0.1168045689329857, -0.38900736143709874, -0.20004377409258461, 0.06926531470050727, 0.19832308931408202, 0.1767333252007127, -0.0750289221310724, -0.27881694043707833, 0.03890547758393635, -0.18407737476545877, -0.1756104712876836, -0.07835903753412843, 0.011279790142485065, -0.016583106200500415, -0.26880116839196505, 0.10230225034394506, 0.02020177628943975, 0.014923693238222223, -0.08798522707726852, -0.07966591347390273, -0.008482511510969851, 0.08562658346390102, 0.14457469686826735, -0.029006570694953437, 0.13050158601620887, -0.20548532451649643, -0.10406565275703242, 0.37711266510364577, -0.12971818231515528, -0.18329180055527075, 0.1952340813173993, -0.19059516465306048, -0.10234203186311473, 0.1622969753614913, 0.1475543653918797, 0.1724649812580695, -0.1468195470423973, 0.12932305968106234, -0.06014353684406346, 0.13033820900655402, 0.09718074307842987, 0.06929920057487247, 0.26132797215896564, 0.10938103220564878, -0.0015590110001718904, 0.1433736959721629, -0.08647915253467953, -0.11010312015469384, -0.3274251598512798, -0.13221960125663354, -0.13138233486738965, 0.07259390285187291, -0.13708284774664092, -0.1249100969935672, 0.36650360751105104, 0.15697918069415073, 0.18705764676876893, 0.0780572902748552, 0.2670652599451609, 0.15548684521977915, -0.0011881608071399661, 0.08774949076372808, 0.327243781150832, 0.15219078579822218, 0.10602418785570115, -0.26458627820165287, -0.06077535947652783, 0.07212011176564796]
|
707.1769
|
Magnetospectroscopy of symmetric and anti-symmetric states in double
quantum wells
|
The experimental results obtained for the magneto-transport in the
InGaAs/InAlAs double quantum wells (DQW) structures of two different shapes of
wells are reported. The beating-effect occurred in the Shubnikov-de Haas (SdH)
oscillations was observed for both types of the structures at low temperatures
in the parallel transport when magnetic field was perpendicular to the layers.
An approach to the calculation of the Landau levels energies for DQW structures
was developed and then applied to the analysis and interpretation of the
experimental data related to the beating-effect. We also argue that in order to
account for the observed magneto-transport phenomena (SdH and Integer Quantum
Hall effect), one should introduce two different quasi-Fermi levels
characterizing two electron sub-systems regarding symmetry properties of their
states, symmetric and anti-symmetric ones which are not mixed by
electron-electron interaction.
|
cond-mat.str-el
|
the experimental results obtained for the magnetotransport in the ingaasinalas double quantum wells dqw structures of two different shapes of wells are reported the beatingeffect occurred in the shubnikovde haas sdh oscillations was observed for both types of the structures at low temperatures in the parallel transport when magnetic field was perpendicular to the layers an approach to the calculation of the landau levels energies for dqw structures was developed and then applied to the analysis and interpretation of the experimental data related to the beatingeffect we also argue that in order to account for the observed magnetotransport phenomena sdh and integer quantum hall effect one should introduce two different quasifermi levels characterizing two electron subsystems regarding symmetry properties of their states symmetric and antisymmetric ones which are not mixed by electronelectron interaction
|
[['the', 'experimental', 'results', 'obtained', 'for', 'the', 'magnetotransport', 'in', 'the', 'ingaasinalas', 'double', 'quantum', 'wells', 'dqw', 'structures', 'of', 'two', 'different', 'shapes', 'of', 'wells', 'are', 'reported', 'the', 'beatingeffect', 'occurred', 'in', 'the', 'shubnikovde', 'haas', 'sdh', 'oscillations', 'was', 'observed', 'for', 'both', 'types', 'of', 'the', 'structures', 'at', 'low', 'temperatures', 'in', 'the', 'parallel', 'transport', 'when', 'magnetic', 'field', 'was', 'perpendicular', 'to', 'the', 'layers', 'an', 'approach', 'to', 'the', 'calculation', 'of', 'the', 'landau', 'levels', 'energies', 'for', 'dqw', 'structures', 'was', 'developed', 'and', 'then', 'applied', 'to', 'the', 'analysis', 'and', 'interpretation', 'of', 'the', 'experimental', 'data', 'related', 'to', 'the', 'beatingeffect', 'we', 'also', 'argue', 'that', 'in', 'order', 'to', 'account', 'for', 'the', 'observed', 'magnetotransport', 'phenomena', 'sdh', 'and', 'integer', 'quantum', 'hall', 'effect', 'one', 'should', 'introduce', 'two', 'different', 'quasifermi', 'levels', 'characterizing', 'two', 'electron', 'subsystems', 'regarding', 'symmetry', 'properties', 'of', 'their', 'states', 'symmetric', 'and', 'antisymmetric', 'ones', 'which', 'are', 'not', 'mixed', 'by', 'electronelectron', 'interaction']]
|
[-0.176518585582669, 0.2166071621398308, -0.06760670277218953, 0.08202931214522087, -0.008809042129423897, -0.147740978399249, 0.005740743823605412, 0.3554256080173468, -0.24555715741163106, -0.3422794563923287, 0.0021831606095301286, -0.28962029391572675, -0.14695769314519094, 0.23330655208440454, 0.034568283013743525, 0.048473143029446136, 0.0032790687774087637, -0.03781664637957152, -0.07427389894341979, -0.23517782368185355, 0.3193430228955077, 0.03305372108975496, 0.3413501942089496, 0.09144282289460756, 0.04571504614632292, -0.015732775122382258, 0.07812402161719803, 0.05693928917997893, -0.13290245008946153, 0.0464902980557913, 0.2635484549278244, -0.07417707838729479, 0.18716119703986034, -0.4622946610205046, -0.18424029754477425, -0.016306315801099282, 0.11427930251247327, 0.15477059406978397, -0.0556976122475933, -0.3109608949766359, 0.0633903471681908, -0.09789533741800611, -0.0824786473744556, -0.0691359099569439, -0.011844785122435454, -0.042306417464243094, -0.2294981152864301, 0.10259756719838393, 0.03965199979569564, 0.08106158868381257, -0.1283944430476666, -0.16675969235997162, -0.03773366077092142, 0.11450549384569288, 0.036796242625182426, -0.05499635774016608, 0.12102147619300416, -0.10548672939202826, -0.19101221886115105, 0.34682954451467357, -0.01951147264797411, -0.12793900340951922, 0.17820606436509326, -0.22938778074031682, -0.11799105443060398, 0.11344492949815538, 0.11801185724609851, 0.0501001899997981, -0.11040009736522893, 0.06840629332529147, 0.00855286244857516, 0.10699595354465441, 0.07939536399599023, 0.06147525122190136, 0.23074521373900522, 0.0887545897920424, -0.012428224598633424, 0.12288083650264178, -0.16839048935043563, -0.07017065034397231, -0.2335670169528204, -0.14912526245150742, -0.1710227978565083, 0.04100377359776313, -0.012573114091100327, -0.19153525804272561, 0.44867692176138857, 0.12836480042577245, 0.19928728507561538, -0.03949833337221124, 0.26363383489483183, 0.1304219055615138, 0.07711212865773674, 0.004852822946228144, 0.2502007910782713, 0.20196294852973226, 0.12250681528252841, -0.28423162936837276, 0.0454420015777511, -0.0033081065052906976]
|
707.177
|
Quantum Monte Carlo results for bipolaron stability in quantum dots
|
Bipolaron formation in a two-dimensional lattice with harmonic confinement,
representing a simplified model for a quantum dot, is investigated by means of
quantum Monte Carlo simulations. This method treats all interactions exactly
and takes into account quantum lattice fluctuations. Calculations of the
bipolaron binding energy reveal that confinement opposes bipolaron formation
for weak electron-phonon coupling, but abets a bound state at intermediate to
strong coupling. Tuning the system from weak to strong confinement gives rise
to a small reduction of the minimum Frohlich coupling parameter for the
existence of a bound state.
|
cond-mat.str-el cond-mat.mtrl-sci
|
bipolaron formation in a twodimensional lattice with harmonic confinement representing a simplified model for a quantum dot is investigated by means of quantum monte carlo simulations this method treats all interactions exactly and takes into account quantum lattice fluctuations calculations of the bipolaron binding energy reveal that confinement opposes bipolaron formation for weak electronphonon coupling but abets a bound state at intermediate to strong coupling tuning the system from weak to strong confinement gives rise to a small reduction of the minimum frohlich coupling parameter for the existence of a bound state
|
[['bipolaron', 'formation', 'in', 'a', 'twodimensional', 'lattice', 'with', 'harmonic', 'confinement', 'representing', 'a', 'simplified', 'model', 'for', 'a', 'quantum', 'dot', 'is', 'investigated', 'by', 'means', 'of', 'quantum', 'monte', 'carlo', 'simulations', 'this', 'method', 'treats', 'all', 'interactions', 'exactly', 'and', 'takes', 'into', 'account', 'quantum', 'lattice', 'fluctuations', 'calculations', 'of', 'the', 'bipolaron', 'binding', 'energy', 'reveal', 'that', 'confinement', 'opposes', 'bipolaron', 'formation', 'for', 'weak', 'electronphonon', 'coupling', 'but', 'abets', 'a', 'bound', 'state', 'at', 'intermediate', 'to', 'strong', 'coupling', 'tuning', 'the', 'system', 'from', 'weak', 'to', 'strong', 'confinement', 'gives', 'rise', 'to', 'a', 'small', 'reduction', 'of', 'the', 'minimum', 'frohlich', 'coupling', 'parameter', 'for', 'the', 'existence', 'of', 'a', 'bound', 'state']]
|
[-0.19176190485829822, 0.20969624076615614, -0.07070454486719151, 0.10897635262580993, -0.018895516025266894, -0.19679713774593952, 0.08135007781675085, 0.3293732713740926, -0.25437592494341993, -0.29535749998024624, -0.05007315575494431, -0.26052308908623195, -0.07090503806577307, 0.1382246986588301, 0.10941652975895483, 0.01023112554811751, 0.08433061965068032, -0.03277631946738162, -0.05499988381432005, -0.18367379228734731, 0.2543907925567549, 0.0717733164087606, 0.2864358218832184, 0.17791262487678425, 0.07886208264845544, 0.04352582554312666, 0.13866700730084078, 0.03543265857328863, -0.2020058161810796, 0.09450040977832902, 0.16993330470185078, -0.07837094170162859, 0.284078531027974, -0.4119557915052966, -0.2598031423277343, 0.017879730566283284, 0.14987520669313634, 0.23456001749424182, -0.06559208257417397, -0.27234693226890394, 0.027144629943548985, -0.18278282864586168, -0.10263817619694315, -0.09945393587543588, -0.0019035323158554409, -0.012816852191463113, -0.32636899699497485, 0.12948107966930483, 0.047373881325652095, 0.01381108330228333, -0.09616714248524817, -0.04867957745369969, -0.05188769675568556, 0.08009489340095213, 0.004301699855283875, 0.05357093220252706, 0.10900684752066256, -0.14675278416784157, -0.09263845402291855, 0.3939318884285572, -0.08090621369394838, -0.14709468376215384, 0.18380542206274264, -0.117912940230504, -0.08884594305519662, 0.18763417473224842, 0.11426416908026389, 0.05404795053618727, -0.12437403081592334, 0.13541465063779312, 0.009271188547996722, 0.1888601659371963, -0.006254409095677344, 0.0797145860016589, 0.22381517077978377, 0.20284038792242823, 0.06624611899378183, 0.16956222516929972, -0.04208182529343859, -0.21624679618474582, -0.29312380666480115, -0.11658792521262987, -0.234321096235046, 0.11973255446228785, -0.08276760143733396, -0.20166743355904423, 0.35678009590660426, 0.11740247783777506, 0.18779192731270325, -0.000990642229621501, 0.23467430274720993, 0.14377943441555227, 0.06934378081021587, 0.02415483015710893, 0.28516012044502015, 0.19676974919148843, 0.0019143744189616132, -0.336828755622264, 0.01700198764750815, 0.13057410860251958]
|
707.1771
|
On long-time dynamics for competition-diffusion systems with
inhomogeneous Dirichlet boundary conditions
|
We consider a two-component competition-diffusion system with equal diffusion
coefficients and inhomogeneous Dirichlet boundary conditions. When the
interspecific competition parameter tends to infinity, the system solution
converges to that of a freeboundary problem. If all stationary solutions of
this limit problem are non-degenerate and if a certain linear combination of
the boundary data does not identically vanish, then for sufficiently large
interspecific competition, all non-negative solutions of the
competition-diffusion system converge to stationary states as time tends to
infinity. Such dynamics are much simpler than those found for the corresponding
system with either homogeneous Neumann or homogeneous Dirichlet boundary
conditions.
|
math.AP
|
we consider a twocomponent competitiondiffusion system with equal diffusion coefficients and inhomogeneous dirichlet boundary conditions when the interspecific competition parameter tends to infinity the system solution converges to that of a freeboundary problem if all stationary solutions of this limit problem are nondegenerate and if a certain linear combination of the boundary data does not identically vanish then for sufficiently large interspecific competition all nonnegative solutions of the competitiondiffusion system converge to stationary states as time tends to infinity such dynamics are much simpler than those found for the corresponding system with either homogeneous neumann or homogeneous dirichlet boundary conditions
|
[['we', 'consider', 'a', 'twocomponent', 'competitiondiffusion', 'system', 'with', 'equal', 'diffusion', 'coefficients', 'and', 'inhomogeneous', 'dirichlet', 'boundary', 'conditions', 'when', 'the', 'interspecific', 'competition', 'parameter', 'tends', 'to', 'infinity', 'the', 'system', 'solution', 'converges', 'to', 'that', 'of', 'a', 'freeboundary', 'problem', 'if', 'all', 'stationary', 'solutions', 'of', 'this', 'limit', 'problem', 'are', 'nondegenerate', 'and', 'if', 'a', 'certain', 'linear', 'combination', 'of', 'the', 'boundary', 'data', 'does', 'not', 'identically', 'vanish', 'then', 'for', 'sufficiently', 'large', 'interspecific', 'competition', 'all', 'nonnegative', 'solutions', 'of', 'the', 'competitiondiffusion', 'system', 'converge', 'to', 'stationary', 'states', 'as', 'time', 'tends', 'to', 'infinity', 'such', 'dynamics', 'are', 'much', 'simpler', 'than', 'those', 'found', 'for', 'the', 'corresponding', 'system', 'with', 'either', 'homogeneous', 'neumann', 'or', 'homogeneous', 'dirichlet', 'boundary', 'conditions']]
|
[-0.15366618313884828, 0.15091512432671153, -0.045204265862703326, 0.04107243836275302, -0.08863837987184525, -0.23548497372772545, -0.017861938951537013, 0.282924409636762, -0.31352535702288153, -0.17336007830686867, 0.1847722058184445, -0.3220006835833192, -0.09226747166365384, 0.10304701160406694, -0.02683924639597535, 0.10099518253467978, 0.11892505059484393, 0.0659166051633656, -0.04321434756857343, -0.25377150473417714, 0.38925955994054673, -0.052588142114691434, 0.2893679923657328, 0.0022545682871714236, 0.0870332726999186, -0.04966548595577478, 0.07289606055943296, 0.05002909888979048, -0.17818932948437577, -0.012114981546183116, 0.2379495359538123, 0.04253272797446698, 0.3158394286222756, -0.44443877760320905, -0.19006092075258493, 0.20577862033620475, 0.19006705212406813, 0.08242967924103141, 0.06678757634479553, -0.24491997914388774, 0.08464714012341573, -0.12111377961933613, -0.21264949825592339, -0.04120387828908861, 0.02689711143961176, 0.07660406871000305, -0.3596006575925276, 0.1259205889236182, 0.09733500570990145, -0.0009532721666619181, -0.19127150630112738, -0.10050178837031126, -0.05944347722455859, 0.1034146029051044, 0.07906139563187026, -0.014723894819617271, 0.04019747380167246, -0.11490681531606242, -0.022299777418375015, 0.3587643882166594, -0.1025313357853156, -0.3352981512993574, 0.2633384786639363, -0.1698375235311687, -0.059598121827002616, 0.1357327961549163, 0.13415984455961735, 0.1510850464552641, -0.14072017072539894, 0.12527377909864298, -0.05609460733481683, 0.14119550563395022, 0.1079701619874686, -0.022768016457557678, 0.1433383635431528, 0.08997156888130121, 0.18739420062862336, 0.14627672242932022, 0.013123409163672477, -0.14559774223715066, -0.3087286939844489, -0.11764135995646939, -0.18191000265302137, 0.1311826105999353, -0.13038562057510716, -0.252710624281317, 0.2851990587543696, 0.10134489238727838, 0.18953173563815653, 0.11710620246827602, 0.21296149807516485, 0.19138624003040605, -0.023750508734956384, 0.1109739448595792, 0.13645648871548474, 0.10664906270569191, 0.11857180995866656, -0.21593333651777358, 0.06623410060070455, 0.07899069273844361]
|
707.1772
|
A note on the Hayman-Wu theorem
|
The Hayman-Wu theorem states that the preimage of a line or circle L under a
conformal mapping from the unit disc to a simply-connected domain U has total
Euclidean length bounded by an absolute constant. The best possible constant is
known to lie in the interval [pi^2, 4 pi), thanks to work of {\O}yma and Rohde.
Earlier, Brown Flinn showed that the total length is at most pi^2 in the
special case in which U contains L. Let r be the anti-M\"obius map that fixes L
pointwise. In this note we extend the sharp bound pi^2 to the case where each
connected component of the intersection of U with r(U) is bounded by one arc of
U and its image under r. We also strengthen the bounds slightly by replacing
Euclidean length with the strictly larger spherical length restricted to the
unit disc.
|
math.CV
|
the haymanwu theorem states that the preimage of a line or circle l under a conformal mapping from the unit disc to a simplyconnected domain u has total euclidean length bounded by an absolute constant the best possible constant is known to lie in the interval pi2 4 pi thanks to work of oyma and rohde earlier brown flinn showed that the total length is at most pi2 in the special case in which u contains l let r be the antimobius map that fixes l pointwise in this note we extend the sharp bound pi2 to the case where each connected component of the intersection of u with ru is bounded by one arc of u and its image under r we also strengthen the bounds slightly by replacing euclidean length with the strictly larger spherical length restricted to the unit disc
|
[['the', 'haymanwu', 'theorem', 'states', 'that', 'the', 'preimage', 'of', 'a', 'line', 'or', 'circle', 'l', 'under', 'a', 'conformal', 'mapping', 'from', 'the', 'unit', 'disc', 'to', 'a', 'simplyconnected', 'domain', 'u', 'has', 'total', 'euclidean', 'length', 'bounded', 'by', 'an', 'absolute', 'constant', 'the', 'best', 'possible', 'constant', 'is', 'known', 'to', 'lie', 'in', 'the', 'interval', 'pi2', '4', 'pi', 'thanks', 'to', 'work', 'of', 'oyma', 'and', 'rohde', 'earlier', 'brown', 'flinn', 'showed', 'that', 'the', 'total', 'length', 'is', 'at', 'most', 'pi2', 'in', 'the', 'special', 'case', 'in', 'which', 'u', 'contains', 'l', 'let', 'r', 'be', 'the', 'antimobius', 'map', 'that', 'fixes', 'l', 'pointwise', 'in', 'this', 'note', 'we', 'extend', 'the', 'sharp', 'bound', 'pi2', 'to', 'the', 'case', 'where', 'each', 'connected', 'component', 'of', 'the', 'intersection', 'of', 'u', 'with', 'ru', 'is', 'bounded', 'by', 'one', 'arc', 'of', 'u', 'and', 'its', 'image', 'under', 'r', 'we', 'also', 'strengthen', 'the', 'bounds', 'slightly', 'by', 'replacing', 'euclidean', 'length', 'with', 'the', 'strictly', 'larger', 'spherical', 'length', 'restricted', 'to', 'the', 'unit', 'disc']]
|
[-0.16468520055980615, 0.12201798495909001, -0.018833744101789143, 7.876072065542928e-05, -0.07930711811917612, -0.1717090484076481, 0.06519599573807322, 0.34212792348518645, -0.2960279899852002, -0.22091325486025257, 0.09207786532896135, -0.29400453708643803, -0.08314254257673893, 0.18227241436193745, -0.08445519494711884, 0.007272549241148069, 0.013128675664473566, 0.10543159059610674, -0.09416121559212547, -0.26874566356912793, 0.3241792187905408, -0.010486679902072433, 0.15724586816119338, 0.06295568838283393, 0.04248302486865855, 0.02339679735089592, -0.001889438864192088, 0.003595667976631428, -0.19477070643470862, 0.10200086589559255, 0.20736845908184007, 0.05674720654706303, 0.2486648746605346, -0.3543295114428448, -0.1661568788875216, 0.15641091867909507, 0.14278495826309534, -0.011735192443940976, 0.053091144957244665, -0.24190852368625698, 0.1332226036746296, -0.08072258673588202, -0.1736851178357552, 0.05743280815952223, 0.12422749555917631, -0.01412044277602284, -0.2514784545872173, 0.061280339411685994, 0.15045773045983996, 0.05184574203110106, -0.03588453565620341, -0.131326979835243, -0.0358892962162336, 0.08792561401693459, 0.040363709772300485, 0.18481366286596967, 0.08323739968548469, -0.051635104268177905, -0.045670788871667096, 0.3662242751079444, -0.11355248650388537, -0.22372216254174576, 0.12447741238748748, -0.21100364757279644, -0.08443730732881659, 0.12057209428041342, 0.06686577970738249, 0.14221360945819522, -0.062096987288150426, 0.2038251986005176, -0.11779271137545543, 0.1670680549029234, 0.12495454932435704, -0.009806770645417006, 0.13462886063921392, 0.07988652823976133, 0.16338981653851786, 0.15944450244679376, -0.08709775844066263, -0.02283216403879346, -0.34742688591317306, -0.12652597789319311, -0.19172440613318475, 0.0878732666748462, -0.10796668758367108, -0.14153648133594007, 0.351775388950281, 0.0455304285549691, 0.25368677182860083, 0.09581770583159765, 0.24823154070541906, 0.09377611171883002, 0.10616348379646702, 0.12088917760285649, 0.16403725928218243, 0.14230510870684876, 0.02224477227331682, -0.19781042858472483, 0.004234186343500297, 0.12163253438808928]
|
707.1773
|
Pyroelectric Effect Induced by the Built-in Field in the p-n Junction of
the Quantum Paraelectric PbTe: Experimental Study
|
We report here the first observation of a pyroelectric effect in a non-polar
semiconductor. This effect originates in the temperature dependent electric
dipole of the p-n junction. The junction was illuminated by a chopped CO2 laser
beam, and periodic and single-pulse pyroelectric signals were observed and
measured as a function of temperature, reverse bias voltage and chopper
frequency. The measured pyroelectric coefficient is about 10^(-3) microC/cm2K
in the region of 40-80 K. The theoretical model describes quantitatively all
experimental features. The time evolution of the temperature inside the
junction region was reconstructed.
|
cond-mat.other
|
we report here the first observation of a pyroelectric effect in a nonpolar semiconductor this effect originates in the temperature dependent electric dipole of the pn junction the junction was illuminated by a chopped co2 laser beam and periodic and singlepulse pyroelectric signals were observed and measured as a function of temperature reverse bias voltage and chopper frequency the measured pyroelectric coefficient is about 103 microccm2k in the region of 4080 k the theoretical model describes quantitatively all experimental features the time evolution of the temperature inside the junction region was reconstructed
|
[['we', 'report', 'here', 'the', 'first', 'observation', 'of', 'a', 'pyroelectric', 'effect', 'in', 'a', 'nonpolar', 'semiconductor', 'this', 'effect', 'originates', 'in', 'the', 'temperature', 'dependent', 'electric', 'dipole', 'of', 'the', 'pn', 'junction', 'the', 'junction', 'was', 'illuminated', 'by', 'a', 'chopped', 'co2', 'laser', 'beam', 'and', 'periodic', 'and', 'singlepulse', 'pyroelectric', 'signals', 'were', 'observed', 'and', 'measured', 'as', 'a', 'function', 'of', 'temperature', 'reverse', 'bias', 'voltage', 'and', 'chopper', 'frequency', 'the', 'measured', 'pyroelectric', 'coefficient', 'is', 'about', '103', 'microccm2k', 'in', 'the', 'region', 'of', '4080', 'k', 'the', 'theoretical', 'model', 'describes', 'quantitatively', 'all', 'experimental', 'features', 'the', 'time', 'evolution', 'of', 'the', 'temperature', 'inside', 'the', 'junction', 'region', 'was', 'reconstructed']]
|
[-0.18542337658620633, 0.1644575912403045, -0.0418544888987646, -0.024170463485131553, -0.027414387291563407, -0.10159210874033826, 0.0758615461111601, 0.4180436331655953, -0.2458702515155732, -0.32279470579309777, 0.0025886375633590334, -0.29375443475034374, -0.07121878971888142, 0.21142372480532215, 0.02759996983721586, 0.027941975486720658, -0.03613285755145026, -0.01745117316534231, -0.04247393475072765, -0.10912963047951132, 0.20153718341300572, 0.0875614968507172, 0.32269179282177773, 0.11025193779841884, 0.09909195885840026, -0.04630533507564566, 0.0401582277410633, 0.010268416222450989, -0.1396954665267533, -0.019979162236348123, 0.2308918407166397, -0.03092962080883988, 0.1582597087976615, -0.426068997706522, -0.2067055237776303, 0.013180066294108447, 0.06755058204110426, 0.10906709775911992, -0.0704084010999445, -0.26514149102085566, 0.04831786710605189, -0.11360192440122693, -0.11145123373205354, 0.05848187780273812, 0.016718791004597812, 0.04897697455669334, -0.26191392059918944, 0.09868476793149507, 0.042369886224380704, 0.07889063924469136, -0.09008531744724937, -0.1397319020336279, -0.029571006981563848, 0.04409131691068319, -0.0038415248554384152, 0.06481898779172328, 0.2538223468371063, -0.07239984540565574, -0.0690563873971229, 0.29932782821521, -0.12383581767022446, -0.04942521358748059, 0.06722874678466674, -0.2794028764518981, -0.023922516908087246, 0.19155213654368788, 0.12572698774594035, 0.11735358489881996, -0.19415698652181282, 0.05640089598607149, 0.016157066193665123, 0.19688047092039507, 0.13052859879866407, 0.018694019221424402, 0.2429391549040492, 0.2222407020520992, -0.03874532825692178, 0.1903823779225554, -0.2168361807221567, 0.02406538148400384, -0.2690848832825905, -0.11681157594948373, -0.20053974367232974, 0.051856498837798505, -0.057096431972740405, -0.1434826452814677, 0.45545921957754826, 0.14211364983002767, 0.1749295205348632, -0.06728470581583679, 0.3349466367194859, 0.14062389146132334, 0.03921287011477973, -0.025486783794854043, 0.30216134720543336, 0.17854115241565383, 0.17061922805649893, -0.3050937042469261, 0.14256331828617297, -0.0552586379773137]
|
707.1774
|
The Poisson Kernel for Hardy Algebras
|
This note contributes to a circle of ideas that we have been developing
recently in which we view certain abstract operator algebras $H^{\infty}(E)$,
which we call Hardy algebras, and which are noncommutative generalizations of
classical $H^{\infty}$, as spaces of functions defined on their spaces of
representations. We define a generalization of the Poisson kernel, which
``reproduces'' the values, on $\mathbb{D}((E^{\sigma})^*)$, of the
``functions'' coming from $H^{\infty}(E)$. We present results that are natural
generalizations of the Poisson integral formuala. They also are easily seen to
be generalizations of formulas that Popescu developed. We relate our Poisson
kernel to the idea of a characteristic operator function and show how the
Poisson kernel identifies the ``model space'' for the canonical model that can
be attached to a point in the disc $\mathbb{D}((E^{\sigma})^*)$. We also
connect our Poission kernel to various "point evaluations" and to the idea of
curvature.
|
math.OA
|
this note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras hinftye which we call hardy algebras and which are noncommutative generalizations of classical hinfty as spaces of functions defined on their spaces of representations we define a generalization of the poisson kernel which reproduces the values on mathbbdesigma of the functions coming from hinftye we present results that are natural generalizations of the poisson integral formuala they also are easily seen to be generalizations of formulas that popescu developed we relate our poisson kernel to the idea of a characteristic operator function and show how the poisson kernel identifies the model space for the canonical model that can be attached to a point in the disc mathbbdesigma we also connect our poission kernel to various point evaluations and to the idea of curvature
|
[['this', 'note', 'contributes', 'to', 'a', 'circle', 'of', 'ideas', 'that', 'we', 'have', 'been', 'developing', 'recently', 'in', 'which', 'we', 'view', 'certain', 'abstract', 'operator', 'algebras', 'hinftye', 'which', 'we', 'call', 'hardy', 'algebras', 'and', 'which', 'are', 'noncommutative', 'generalizations', 'of', 'classical', 'hinfty', 'as', 'spaces', 'of', 'functions', 'defined', 'on', 'their', 'spaces', 'of', 'representations', 'we', 'define', 'a', 'generalization', 'of', 'the', 'poisson', 'kernel', 'which', 'reproduces', 'the', 'values', 'on', 'mathbbdesigma', 'of', 'the', 'functions', 'coming', 'from', 'hinftye', 'we', 'present', 'results', 'that', 'are', 'natural', 'generalizations', 'of', 'the', 'poisson', 'integral', 'formuala', 'they', 'also', 'are', 'easily', 'seen', 'to', 'be', 'generalizations', 'of', 'formulas', 'that', 'popescu', 'developed', 'we', 'relate', 'our', 'poisson', 'kernel', 'to', 'the', 'idea', 'of', 'a', 'characteristic', 'operator', 'function', 'and', 'show', 'how', 'the', 'poisson', 'kernel', 'identifies', 'the', 'model', 'space', 'for', 'the', 'canonical', 'model', 'that', 'can', 'be', 'attached', 'to', 'a', 'point', 'in', 'the', 'disc', 'mathbbdesigma', 'we', 'also', 'connect', 'our', 'poission', 'kernel', 'to', 'various', 'point', 'evaluations', 'and', 'to', 'the', 'idea', 'of', 'curvature']]
|
[-0.05602278963098643, 0.05549698011805369, -0.14128066241924822, 0.11883476613545266, -0.11627687028491161, -0.07445839259930899, -0.00100564080598751, 0.3727607357145195, -0.3254682699441385, -0.20378425643897394, 0.10486526951164296, -0.25716619090583753, -0.22581126842595323, 0.23422273926266376, -0.12647445919924713, 0.007768058883043458, 0.017903242582614325, 0.052949746221330175, -0.11914724333647927, -0.2593475690728027, 0.4181721940852531, 0.03706687702928525, 0.19583413589575235, 0.03819378251931302, 0.11164362298023008, -0.013036622088664854, -0.04178859367573135, 0.006868741116064279, -0.14936816891180646, 0.15873165467990116, 0.2537067293674803, 0.10266689416906521, 0.2554611676211902, -0.38982479108995954, -0.1856025366578251, 0.15632323166650627, 0.12151390858958672, 0.032424318877173404, 0.00733492782988756, -0.2852103136427386, 0.08972973432086497, -0.1753315274065859, -0.13663504743607532, -0.10862018576819896, -0.01816609930771757, 0.055547569675082474, -0.26477545791987694, 0.007095368201500067, 0.10220903910296432, 0.00988705445158469, -0.10188120079528488, -0.1207342956470929, -0.006945004372719781, 0.08181991806568605, -0.0038286008696648962, 0.04546226423994546, 0.12473736516803398, -0.07271303501944254, -0.144881531340398, 0.3291654653820983, -0.04929615840197764, -0.2678160951013716, 0.16483102231876742, -0.15588911384685147, -0.17736823627279258, 0.03615365857192853, 0.12924039092170678, 0.11546258349627467, -0.09868674524600657, 0.13062099039982544, -0.11410830168604431, 0.040713734634164854, 0.07301645103758397, 0.031343067018971056, 0.14034530172832835, 0.06777732536314764, 0.05488107695972259, 0.1739085326823865, -0.036664160962022255, -0.14932063904600743, -0.33871629378187773, -0.197686569053601, -0.16138882306896307, 0.07105210458066209, -0.0950654653999766, -0.19913887567850957, 0.4005225063990277, 0.17384403786403915, 0.24410691009719634, 0.10172699588272248, 0.20515456468253856, 0.16051946978599593, 0.11084832022668348, 0.04546399360102877, 0.13689680674119892, 0.17512289968706196, 0.06736490388915703, -0.11295396803048584, -0.01667725660142974, 0.15917346291703133]
|
707.1775
|
On the Rayleigh theorem for inflectional velocity instability of
inviscid flows
|
It is exactly proved that the classical Rayleigh Theorem on inflectional
velocity instability is wrong which states that the necessary condition for
instability of inviscid flow is the existence of an inflection point on the
velocity profile. It is shown that the disturbance amplified in 2D inviscid
flows is necessarily 3D. After the break down of T-S wave in 2D parallel flows,
the disturbance becomes a type of spiral waves which proceed along the
streamwise direction. This is just the origin of formation of streamwise
vortices.
|
physics.flu-dyn physics.class-ph physics.geo-ph
|
it is exactly proved that the classical rayleigh theorem on inflectional velocity instability is wrong which states that the necessary condition for instability of inviscid flow is the existence of an inflection point on the velocity profile it is shown that the disturbance amplified in 2d inviscid flows is necessarily 3d after the break down of ts wave in 2d parallel flows the disturbance becomes a type of spiral waves which proceed along the streamwise direction this is just the origin of formation of streamwise vortices
|
[['it', 'is', 'exactly', 'proved', 'that', 'the', 'classical', 'rayleigh', 'theorem', 'on', 'inflectional', 'velocity', 'instability', 'is', 'wrong', 'which', 'states', 'that', 'the', 'necessary', 'condition', 'for', 'instability', 'of', 'inviscid', 'flow', 'is', 'the', 'existence', 'of', 'an', 'inflection', 'point', 'on', 'the', 'velocity', 'profile', 'it', 'is', 'shown', 'that', 'the', 'disturbance', 'amplified', 'in', '2d', 'inviscid', 'flows', 'is', 'necessarily', '3d', 'after', 'the', 'break', 'down', 'of', 'ts', 'wave', 'in', '2d', 'parallel', 'flows', 'the', 'disturbance', 'becomes', 'a', 'type', 'of', 'spiral', 'waves', 'which', 'proceed', 'along', 'the', 'streamwise', 'direction', 'this', 'is', 'just', 'the', 'origin', 'of', 'formation', 'of', 'streamwise', 'vortices']]
|
[-0.22851456707847023, 0.16270407839548953, -0.1305559107080795, 0.06439033613220767, -0.0716222443477099, -0.10389881974714267, -0.05628955066691391, 0.2895765117651155, -0.30883861727319484, -0.17402326269075274, 0.11682454053567029, -0.21359675440417472, -0.11162778525071781, 0.18582771154293834, -0.021690508708097907, 0.05994522841214094, 0.051513064880097326, 0.021714558489187512, -0.020087885601326908, -0.19845364446925043, 0.31804094294649227, 0.02769778002335062, 0.3384467195502894, 0.013695889195903789, 0.0894913159873943, -0.07615846067905253, 0.03734583927448406, 0.011955362343944089, -0.17013066803329546, -0.005935869291343532, 0.16208234367090776, 0.040342200935959034, 0.2633416904948738, -0.4311338919106611, -0.2479473115503382, 0.040062186015813156, 0.1995296593278993, 0.14395388455920702, -0.006051356526535698, -0.2631700724406644, 0.1093549923700562, -0.06583218027290694, -0.21146575531510767, 0.03714012660540987, 0.0710102669315326, 0.02625826291393402, -0.2466034865897517, 0.17757078515755575, 0.16403047924828823, 0.07264720919260452, -0.062177637267078076, 0.013885438691304867, -0.13825582080455714, 0.045040508734907, 0.1142210627887073, 0.08528738833089403, 0.13112932051596946, -0.17335788064993657, -0.030309835530081115, 0.39437320414757315, -0.026961341613990275, -0.21220773114108069, 0.1861232403275925, -0.1099376306018987, -0.03946693672062179, 0.2072721049568594, 0.1488578949221085, 0.08349607829654286, -0.051983567896883846, 0.019707320355485346, -0.12235367904551907, 0.1398269332973097, 0.1530573257965274, -0.06822433296677678, 0.24886640506731564, 0.11930231103500308, 0.15812411293560683, 0.11868533159627817, -0.14339978726943522, -0.09558771854959601, -0.3306553092850156, -0.1606885440712578, -0.16351293811444625, 0.038871109291205866, -0.04430982946461543, -0.20545685609774178, 0.3889888109704263, 0.13937119318397045, 0.16355108437507393, 0.012855465374995283, 0.31388371429124545, 0.159522634844274, 0.049032755163606515, 0.1547163582195766, 0.29250544540280865, 0.16463876351021056, 0.12889878907332977, -0.23763533233296733, 0.058974205754524056, 0.11005099373328131]
|
707.1776
|
M{\o}ller Energy-Momentum Complex in General Relativity for Higher
Dimensional Universes
|
This submission has been withdrawn by arXiv administrators due to
inappropriate text reuse from external sources
|
gr-qc
|
this submission has been withdrawn by arxiv administrators due to inappropriate text reuse from external sources
|
[['this', 'submission', 'has', 'been', 'withdrawn', 'by', 'arxiv', 'administrators', 'due', 'to', 'inappropriate', 'text', 'reuse', 'from', 'external', 'sources']]
|
[-0.090568175772205, -0.032664851227309555, -0.04400465509388596, -0.015228218551783357, -0.2861636411398649, -0.1730231347028166, 0.1099564551259391, 0.3669642357053817, -0.24552410130854696, -0.3927009613253176, 0.09520786831853911, -0.3657632351387292, -0.016878281836397946, -0.012412965414114296, -0.31394803791772574, 0.0882963091135025, 0.07244124438147992, -0.10920155444182456, 0.08249358028115239, -0.4156411627482157, 0.2841435563750565, 0.2065872063394636, 0.39687149366363883, 0.1932435177732259, -0.051966889412142336, -0.057816044631181285, -0.2642018743790686, -0.12446781410835683, -0.03256947302725166, 0.014298456022515893, 0.3965314361266792, 0.14576777727052104, 0.4430624814121984, -0.3972171852001338, -0.20660163625143468, 0.025070165749639273, 0.22209209599532187, 0.21589294145815074, -0.033327830489724874, -0.5102200163528323, 0.18677336914697662, -0.42892685130937025, -0.050228262232849374, -0.03315916517749429, 0.18054750200826675, -0.07678542385110632, -0.07729495348758064, 0.00393318134592846, 0.15501097170636058, 0.24156966316513717, 0.02075608936138451, -0.13764623389579356, 0.02001772983931005, 0.21760312607511878, 0.2785455668345094, 0.1720373650896363, 0.11171193548943847, -0.09686302136105951, -0.05747459514532238, 0.42295556026510894, 0.10567213618196547, -0.24936120910570025, 0.146792535437271, 0.11609404321643524, -0.1606846691283863, 0.19269299396546558, 0.19402712903684005, -0.013933291746070608, -0.3624221074860543, 0.1932367742410861, 0.09556133189471439, 0.2643254743888974, 0.2887051308644004, -0.0437945150770247, 0.16213479998987168, 0.04668876517098397, -0.03360235266154632, 0.23376785311847925, 0.02300023753196001, 0.06869630099390633, -0.11836529709398746, -0.024236237164586782, -0.2661765111843124, 0.1785709488322027, 0.17289701208937913, -0.09440385779817007, 0.2593211527855601, 0.3136747358366847, 0.02123783135903068, -0.1731009460054338, 0.32209834130480886, 0.043363332566514146, 0.21987162670120597, 0.08986134922452038, 0.19325180142186582, -0.03424996025569271, 0.3564166062278673, -0.048472178910742514, 0.24505718238651752, 0.06933620403287932]
|
707.1777
|
Atomistic Study of the Encapsulation of Diamondoids Inside Carbon
Nanotubes
|
The encapsulation of hydrogen-terminated nanosized diamond fragments (the
so-called diamondoids) into armchair single walled carbon nanotubes with
diameters in the range of 1.0 up to 2.2 nm has been investigated using
classical molecular dynamics simulations. Diameter dependent molecular ordered
phases were found for the encapsulation of adamantane (C10H16), diamantane
(C14H20), and dihydroxy diamantane (C14H20O2). The same types of chiral ordered
phases (double, triple, 4- and 5-stranded helices) observed for the
encapsulation of C60 molecules were also observed for diamondoids. On the other
hand, some achiral phases comprising layered structures were not observed. Our
results also indicate that the modification of diamantane through
functionalization with hydroxyl groups can lead to an enhancement of the
packing of molecules inside the nanotubes compared to nonfunctionalized
compounds. Comparisons to hard-sphere models are also presented revealing
differences, specially when more asymmetrical diamondoids are considered. For
larger structures (adamantane tetramers) we have not observed long-range
ordering for nanotubes with diameters in the range of 1.49 to 2.17 nm but only
a tendency to form incomplete helical structures.
|
cond-mat.mtrl-sci
|
the encapsulation of hydrogenterminated nanosized diamond fragments the socalled diamondoids into armchair single walled carbon nanotubes with diameters in the range of 10 up to 22 nm has been investigated using classical molecular dynamics simulations diameter dependent molecular ordered phases were found for the encapsulation of adamantane c10h16 diamantane c14h20 and dihydroxy diamantane c14h20o2 the same types of chiral ordered phases double triple 4 and 5stranded helices observed for the encapsulation of c60 molecules were also observed for diamondoids on the other hand some achiral phases comprising layered structures were not observed our results also indicate that the modification of diamantane through functionalization with hydroxyl groups can lead to an enhancement of the packing of molecules inside the nanotubes compared to nonfunctionalized compounds comparisons to hardsphere models are also presented revealing differences specially when more asymmetrical diamondoids are considered for larger structures adamantane tetramers we have not observed longrange ordering for nanotubes with diameters in the range of 149 to 217 nm but only a tendency to form incomplete helical structures
|
[['the', 'encapsulation', 'of', 'hydrogenterminated', 'nanosized', 'diamond', 'fragments', 'the', 'socalled', 'diamondoids', 'into', 'armchair', 'single', 'walled', 'carbon', 'nanotubes', 'with', 'diameters', 'in', 'the', 'range', 'of', '10', 'up', 'to', '22', 'nm', 'has', 'been', 'investigated', 'using', 'classical', 'molecular', 'dynamics', 'simulations', 'diameter', 'dependent', 'molecular', 'ordered', 'phases', 'were', 'found', 'for', 'the', 'encapsulation', 'of', 'adamantane', 'c10h16', 'diamantane', 'c14h20', 'and', 'dihydroxy', 'diamantane', 'c14h20o2', 'the', 'same', 'types', 'of', 'chiral', 'ordered', 'phases', 'double', 'triple', '4', 'and', '5stranded', 'helices', 'observed', 'for', 'the', 'encapsulation', 'of', 'c60', 'molecules', 'were', 'also', 'observed', 'for', 'diamondoids', 'on', 'the', 'other', 'hand', 'some', 'achiral', 'phases', 'comprising', 'layered', 'structures', 'were', 'not', 'observed', 'our', 'results', 'also', 'indicate', 'that', 'the', 'modification', 'of', 'diamantane', 'through', 'functionalization', 'with', 'hydroxyl', 'groups', 'can', 'lead', 'to', 'an', 'enhancement', 'of', 'the', 'packing', 'of', 'molecules', 'inside', 'the', 'nanotubes', 'compared', 'to', 'nonfunctionalized', 'compounds', 'comparisons', 'to', 'hardsphere', 'models', 'are', 'also', 'presented', 'revealing', 'differences', 'specially', 'when', 'more', 'asymmetrical', 'diamondoids', 'are', 'considered', 'for', 'larger', 'structures', 'adamantane', 'tetramers', 'we', 'have', 'not', 'observed', 'longrange', 'ordering', 'for', 'nanotubes', 'with', 'diameters', 'in', 'the', 'range', 'of', '149', 'to', '217', 'nm', 'but', 'only', 'a', 'tendency', 'to', 'form', 'incomplete', 'helical', 'structures']]
|
[-0.10806174100373878, 0.19567958457392995, -0.005384896855388662, -0.009969104420181788, 0.00842637886588802, -0.1522417908623636, 0.031565048876859826, 0.49678089621359717, -0.22477148627042548, -0.335771047733278, 0.017281369372371385, -0.30594818807112245, -0.09886214550595708, 0.14213642708728547, 0.046633942733089365, 0.0001669668475400188, 0.03191229741682973, -0.05494666755935568, -0.05963461414470287, -0.21831390035232742, 0.20084365356635459, 0.015300257711442646, 0.27488119713892367, 0.09106971699644081, 0.010888758151022394, -0.05064646355406253, 0.10002403338941673, 0.03857174094119472, -0.17962540425856013, 0.1281401284797463, 0.23181258408941519, -0.08863863894230725, 0.12667802455807162, -0.466378636382141, -0.20016179116677024, 0.016819153482953233, 0.15103401798018795, 0.12518166052456386, -0.061412848630926324, -0.25663973845563787, 0.13833516840906646, -0.12615817654557235, -0.11729414405267753, -0.04783573021838988, 0.04177468679015787, 0.0713402126095966, -0.17055479086890907, 0.07609226575911095, 0.02815598990589737, 0.0902433835003458, -0.10853039850494796, -0.23301559582235526, -0.10339563827080551, 0.08035961036067762, -0.018271109306749828, -0.06561272207948708, 0.22847862114772916, -0.07377024528062986, -0.13637160074835766, 0.4268977809362783, -0.013644635296722283, -0.10172209145869324, 0.21805803590972803, -0.14978680581220044, -0.1537370171738108, 0.2152510472949947, 0.07347709998282086, 0.12928463929907202, -0.12771443006748817, -0.01924400100788425, -0.03020970484319918, 0.2043872726307401, 0.1781627537214203, 0.06644569203246407, 0.21223772577049133, 0.17434448683996892, -0.017772746895590497, 0.17335978402612554, -0.11258888480186945, -0.087988296286677, -0.1475184577193758, -0.20288158463130143, -0.11439496154400582, 0.046789292338294465, -0.08018826863092013, -0.19885461548382338, 0.32907023551751174, 0.03177944554502568, 0.16501693682979324, -0.014297031605069687, 0.18370991637986042, -0.027976961510149972, 0.15586988729965723, -0.039565189777800956, 0.25211138505377795, 0.1991849077606161, 0.052834347167894424, -0.1942833944636503, 0.08501122999255975, -0.035382738610183054]
|
707.1778
|
Angular Broadening of Intraday Variable AGN. II. Interstellar and
Intergalactic Scattering
|
We analyze a sample of 58 multi-wavelength, Very Long Baseline Array
observations of active galactic nuclei (AGN) to determine their scattering
properties. Approximately 75% of the sample consists of AGN that exhibit
centimeter-wavelength intraday variability (interstellar scintillation) while
the other 25% do not show intraday variability. We find that interstellar
scattering is measurable for most of these AGN, and the typical broadening
diameter is 2 mas at 1 GHz. We find that the scintillating AGN are typically at
lower Galactic latitudes than the non-scintillating AGN, consistent with the
scenario that intraday variability is a propagation effect from the Galactic
interstellar medium. The magnitude of the inferred interstellar broadening
measured toward the scintillating AGN, when scaled to higher frequencies, is
comparable to the diameters inferred from analyses of the light curves for the
more well-known intraday variable sources. However, we find no difference in
the amount of scattering measured toward the scintillating versus
non-scintillating AGN. A consistent picture is one in which the scintillation
results from localized regions ("clumps") distributed throughout the Galactic
disk, but which individually make little contribution to the angular
broadening. Of the 58 AGN observed, 37 (64%) have measured redshifts. At best,
a marginal trend is found for scintillating (non-scintillating) AGN to have
smaller (larger) angular diameters at higher redshifts. We also use our
observations to try to constrain the possibility of intergalactic scattering.
While broadly consistent with the scenario of a highly turbulent intergalactic
medium, our observations do not place significant constraints on its
properties.
|
astro-ph
|
we analyze a sample of 58 multiwavelength very long baseline array observations of active galactic nuclei agn to determine their scattering properties approximately 75 of the sample consists of agn that exhibit centimeterwavelength intraday variability interstellar scintillation while the other 25 do not show intraday variability we find that interstellar scattering is measurable for most of these agn and the typical broadening diameter is 2 mas at 1 ghz we find that the scintillating agn are typically at lower galactic latitudes than the nonscintillating agn consistent with the scenario that intraday variability is a propagation effect from the galactic interstellar medium the magnitude of the inferred interstellar broadening measured toward the scintillating agn when scaled to higher frequencies is comparable to the diameters inferred from analyses of the light curves for the more wellknown intraday variable sources however we find no difference in the amount of scattering measured toward the scintillating versus nonscintillating agn a consistent picture is one in which the scintillation results from localized regions clumps distributed throughout the galactic disk but which individually make little contribution to the angular broadening of the 58 agn observed 37 64 have measured redshifts at best a marginal trend is found for scintillating nonscintillating agn to have smaller larger angular diameters at higher redshifts we also use our observations to try to constrain the possibility of intergalactic scattering while broadly consistent with the scenario of a highly turbulent intergalactic medium our observations do not place significant constraints on its properties
|
[['we', 'analyze', 'a', 'sample', 'of', '58', 'multiwavelength', 'very', 'long', 'baseline', 'array', 'observations', 'of', 'active', 'galactic', 'nuclei', 'agn', 'to', 'determine', 'their', 'scattering', 'properties', 'approximately', '75', 'of', 'the', 'sample', 'consists', 'of', 'agn', 'that', 'exhibit', 'centimeterwavelength', 'intraday', 'variability', 'interstellar', 'scintillation', 'while', 'the', 'other', '25', 'do', 'not', 'show', 'intraday', 'variability', 'we', 'find', 'that', 'interstellar', 'scattering', 'is', 'measurable', 'for', 'most', 'of', 'these', 'agn', 'and', 'the', 'typical', 'broadening', 'diameter', 'is', '2', 'mas', 'at', '1', 'ghz', 'we', 'find', 'that', 'the', 'scintillating', 'agn', 'are', 'typically', 'at', 'lower', 'galactic', 'latitudes', 'than', 'the', 'nonscintillating', 'agn', 'consistent', 'with', 'the', 'scenario', 'that', 'intraday', 'variability', 'is', 'a', 'propagation', 'effect', 'from', 'the', 'galactic', 'interstellar', 'medium', 'the', 'magnitude', 'of', 'the', 'inferred', 'interstellar', 'broadening', 'measured', 'toward', 'the', 'scintillating', 'agn', 'when', 'scaled', 'to', 'higher', 'frequencies', 'is', 'comparable', 'to', 'the', 'diameters', 'inferred', 'from', 'analyses', 'of', 'the', 'light', 'curves', 'for', 'the', 'more', 'wellknown', 'intraday', 'variable', 'sources', 'however', 'we', 'find', 'no', 'difference', 'in', 'the', 'amount', 'of', 'scattering', 'measured', 'toward', 'the', 'scintillating', 'versus', 'nonscintillating', 'agn', 'a', 'consistent', 'picture', 'is', 'one', 'in', 'which', 'the', 'scintillation', 'results', 'from', 'localized', 'regions', 'clumps', 'distributed', 'throughout', 'the', 'galactic', 'disk', 'but', 'which', 'individually', 'make', 'little', 'contribution', 'to', 'the', 'angular', 'broadening', 'of', 'the', '58', 'agn', 'observed', '37', '64', 'have', 'measured', 'redshifts', 'at', 'best', 'a', 'marginal', 'trend', 'is', 'found', 'for', 'scintillating', 'nonscintillating', 'agn', 'to', 'have', 'smaller', 'larger', 'angular', 'diameters', 'at', 'higher', 'redshifts', 'we', 'also', 'use', 'our', 'observations', 'to', 'try', 'to', 'constrain', 'the', 'possibility', 'of', 'intergalactic', 'scattering', 'while', 'broadly', 'consistent', 'with', 'the', 'scenario', 'of', 'a', 'highly', 'turbulent', 'intergalactic', 'medium', 'our', 'observations', 'do', 'not', 'place', 'significant', 'constraints', 'on', 'its', 'properties']]
|
[-0.04469571867373297, 0.15508082381498264, -0.06544421599657989, 0.12257854214001701, -0.10277017848154747, -0.08053332554498112, 0.05841568705390196, 0.48614266445209464, -0.1714613175989282, -0.3403745868942704, 0.04214395691143222, -0.3379208137501914, 0.010536627948703057, 0.20379506697949307, -0.0027361884105382077, -0.04640635478637092, -0.002604465306096946, -0.10739496257904184, -0.004811697867680266, -0.24615985658964196, 0.235683985881556, 0.12037537891902104, 0.2173302986230851, -0.008971302385299829, 0.1015095337767184, -0.09801273869470241, -0.12089315412124717, -0.013437095333833292, -0.09587451824266183, 0.05280806278869749, 0.2670102833459775, 0.0706739501642385, 0.19233790099193962, -0.36194468432929633, -0.24672713678986596, 0.10549266234586804, 0.1729035146476469, 0.038779114977078866, -0.015565818351289971, -0.21593603575938797, 0.06099703023619258, -0.14592878591085984, -0.17299320050571337, 0.06422612552407635, 0.05544295490543586, 0.027883077325508838, -0.18536552931200787, 0.10679248624224585, 0.017634363530809622, 0.0872455608963697, -0.11929808842835492, -0.13857782651935835, -0.03447951122475077, 0.03831434851088262, 0.06678023032402718, 0.06505774006964714, 0.20233003067855077, -0.13429160744520316, -0.0384886057946427, 0.39782871316602253, -0.044712022097744365, -0.01494163901911652, 0.18995899487152157, -0.2599512625500386, -0.17176173271678657, 0.22516959054530206, 0.19190769333646718, 0.09513424044609609, -0.13407176257075834, -0.062039457514263076, -0.041594000443457124, 0.28374903803938123, 0.005996729448778054, 0.10176224824196349, 0.2556514599450292, 0.12397749181864895, 0.05662832894207289, 0.09785717012885262, -0.23355774337474453, -0.027280395908513104, -0.25341675097794164, -0.04212697048439648, -0.11370033599870152, 0.11424457737589236, -0.16773638410869393, -0.08784661894962453, 0.34331477233152613, 0.13013010805128628, 0.21111770624287396, 0.07006008416810727, 0.3072201666949564, 0.04131931843526893, 0.10690440439495695, 0.1235046536356854, 0.38577404792558956, 0.13530697306453524, 0.10490883452570941, -0.23485526230432147, 0.11294078278069171, -0.047801876464020836]
|
707.1779
|
Variational formulation of the motion of an ideal fluid on the basis of
gauge principle
|
On the basis of gauge principle in the field theory, a new variational
formulation is presented for flows of an ideal fluid. The fluid is defined
thermodynamically by mass density and entropy density, and its flow fields are
characterized by symmetries of translation and rotation. A structure of
rotation symmetry is equipped with a Lagrangian $\Lambda_A$ including
vorticity, in addition to Lagrangians of translation symmetry. From the action
principle, Euler's equation of motion is derived. In addition, the equations of
continuity and entropy are derived from the variations. Equations of conserved
currents are deduced as the Noether theorem in the space of Lagrangian
coordinate $\ba$. It is shown that, with the translation symmetry alone, there
is freedom in the transformation between the Lagrangian $\ba$-space and
Eulerian $\bx$-space. The Lagrangian $\Lambda_A$ provides non-trivial topology
of vorticity field and yields a source term of the helicity. The vorticity
equation is derived as an equation of the gauge field. Present formulation
provides a basis on which the transformation between the $\ba$ space and the
$\bx$ space is determined uniquely.
|
nlin.CD
|
on the basis of gauge principle in the field theory a new variational formulation is presented for flows of an ideal fluid the fluid is defined thermodynamically by mass density and entropy density and its flow fields are characterized by symmetries of translation and rotation a structure of rotation symmetry is equipped with a lagrangian lambda_a including vorticity in addition to lagrangians of translation symmetry from the action principle eulers equation of motion is derived in addition the equations of continuity and entropy are derived from the variations equations of conserved currents are deduced as the noether theorem in the space of lagrangian coordinate ba it is shown that with the translation symmetry alone there is freedom in the transformation between the lagrangian baspace and eulerian bxspace the lagrangian lambda_a provides nontrivial topology of vorticity field and yields a source term of the helicity the vorticity equation is derived as an equation of the gauge field present formulation provides a basis on which the transformation between the ba space and the bx space is determined uniquely
|
[['on', 'the', 'basis', 'of', 'gauge', 'principle', 'in', 'the', 'field', 'theory', 'a', 'new', 'variational', 'formulation', 'is', 'presented', 'for', 'flows', 'of', 'an', 'ideal', 'fluid', 'the', 'fluid', 'is', 'defined', 'thermodynamically', 'by', 'mass', 'density', 'and', 'entropy', 'density', 'and', 'its', 'flow', 'fields', 'are', 'characterized', 'by', 'symmetries', 'of', 'translation', 'and', 'rotation', 'a', 'structure', 'of', 'rotation', 'symmetry', 'is', 'equipped', 'with', 'a', 'lagrangian', 'lambda_a', 'including', 'vorticity', 'in', 'addition', 'to', 'lagrangians', 'of', 'translation', 'symmetry', 'from', 'the', 'action', 'principle', 'eulers', 'equation', 'of', 'motion', 'is', 'derived', 'in', 'addition', 'the', 'equations', 'of', 'continuity', 'and', 'entropy', 'are', 'derived', 'from', 'the', 'variations', 'equations', 'of', 'conserved', 'currents', 'are', 'deduced', 'as', 'the', 'noether', 'theorem', 'in', 'the', 'space', 'of', 'lagrangian', 'coordinate', 'ba', 'it', 'is', 'shown', 'that', 'with', 'the', 'translation', 'symmetry', 'alone', 'there', 'is', 'freedom', 'in', 'the', 'transformation', 'between', 'the', 'lagrangian', 'baspace', 'and', 'eulerian', 'bxspace', 'the', 'lagrangian', 'lambda_a', 'provides', 'nontrivial', 'topology', 'of', 'vorticity', 'field', 'and', 'yields', 'a', 'source', 'term', 'of', 'the', 'helicity', 'the', 'vorticity', 'equation', 'is', 'derived', 'as', 'an', 'equation', 'of', 'the', 'gauge', 'field', 'present', 'formulation', 'provides', 'a', 'basis', 'on', 'which', 'the', 'transformation', 'between', 'the', 'ba', 'space', 'and', 'the', 'bx', 'space', 'is', 'determined', 'uniquely']]
|
[-0.19363647988052696, 0.14786199477501882, -0.11133329586350713, 0.03345913651410019, -0.0734225156912366, -0.07237176085961447, -0.043959574349058644, 0.29546068819111276, -0.30081747762387856, -0.2703259229023095, 0.048230987180682736, -0.2374092759029276, -0.10959479646173831, 0.14187987600640534, -0.03700371748692859, 0.03169066357746153, 0.001696689350091606, 0.07636028735352487, -0.10724970489210481, -0.17407386548932235, 0.34915456918988846, 0.003408165798447598, 0.28907883393808387, 0.011288259692233184, 0.18073458585823918, -0.02217763560909735, -0.021027988661883462, 0.05313528067082429, -0.14146205951111296, 0.12401813017364977, 0.16050662826639653, 0.10548457270086711, 0.1485712588189341, -0.38693300302772, -0.21324659880229282, 0.02703297848481385, 0.09531315385321176, 0.11402850845178332, -0.05427494704664482, -0.2910497867737779, 0.04142382335260339, -0.13090649932280354, -0.1572748723549597, -0.12359133368657751, 0.03549608436945676, 0.011300008436236745, -0.277445057894427, 0.12440411457215703, 0.0730987827182512, 0.11116634249879882, -0.10870334217338234, -0.06509580989582357, -0.12933335331571022, 0.0514842765558611, 0.11367373957684071, 0.10751689440602887, 0.1021709181094039, -0.15462249868827732, -0.06430389144158141, 0.4589606562158328, -0.08397776240097551, -0.3065273793306852, 0.12133882715147332, -0.08846160791942785, -0.12020052929847748, 0.11564071410591178, 0.10647295431458745, 0.12376505360489004, -0.16705694050165482, 0.16541230032553672, -0.05287472069017247, 0.11317701448268931, 0.052486217069578754, -0.0026877550635722347, 0.17795937540459222, 0.09772923415869303, 0.09980608438858869, 0.09215879779919212, -0.057192652175823845, -0.14488666754044677, -0.3793705216897973, -0.19525450181440804, -0.1819728327936482, 0.06479919485041294, -0.09414287285429986, -0.14160209794140063, 0.36566096417078664, 0.07727904937259489, 0.14351303897391277, 0.035500525106841846, 0.25048203877676495, 0.1860952869729385, 0.07576326336497548, 0.07447942343658243, 0.24855328039614077, 0.237180398524225, 0.09340526203186005, -0.2435520676060997, -0.006508457340599819, 0.17467945380585975]
|
707.178
|
A classification of entanglement in three-qubit systems
|
We present a classification of three-qubit states based in their three-qubit
and reduced two-qubit entanglements. For pure states these criteria can be
easily implemented, and the different types can be related with sets of
equivalence classes under Local Unitary operations. For mixed states
characterization of full tripartite entanglement is not yet solved in general;
some partial results will be presented here.
|
quant-ph
|
we present a classification of threequbit states based in their threequbit and reduced twoqubit entanglements for pure states these criteria can be easily implemented and the different types can be related with sets of equivalence classes under local unitary operations for mixed states characterization of full tripartite entanglement is not yet solved in general some partial results will be presented here
|
[['we', 'present', 'a', 'classification', 'of', 'threequbit', 'states', 'based', 'in', 'their', 'threequbit', 'and', 'reduced', 'twoqubit', 'entanglements', 'for', 'pure', 'states', 'these', 'criteria', 'can', 'be', 'easily', 'implemented', 'and', 'the', 'different', 'types', 'can', 'be', 'related', 'with', 'sets', 'of', 'equivalence', 'classes', 'under', 'local', 'unitary', 'operations', 'for', 'mixed', 'states', 'characterization', 'of', 'full', 'tripartite', 'entanglement', 'is', 'not', 'yet', 'solved', 'in', 'general', 'some', 'partial', 'results', 'will', 'be', 'presented', 'here']]
|
[-0.09847793719716004, 0.20353196285756642, -0.07775623675008289, 0.05954727861213452, 0.020125119595742615, -0.23234324594654265, 0.04063631938083372, 0.38534110595212606, -0.25209739956943716, -0.26258767682478806, 0.1333753938107278, -0.17742921478405108, -0.09841632888056949, 0.2267173739974616, -0.08853188257084274, 0.10825988592305144, 0.11021165357383549, -0.009694832285530254, -0.15603844599166625, -0.32766336453009826, 0.34949852727719993, -0.05517991546724663, 0.2687581584514042, 0.05305033340023403, 0.027946185732840516, -0.019991985468774058, 0.026678075937584776, 0.07253360259728353, -0.10004706246793636, 0.08928401817922618, 0.35685557923966743, 0.19958976271455406, 0.16467653261497617, -0.4529559919152592, -0.1352320636210383, 0.15818680447266728, 0.07701488307936759, 0.20193452633856263, 0.014950374855095, -0.374595737939731, 0.06199158536514542, -0.19678146415008385, -0.0865343585381376, -0.19657183911071205, -0.010335435357982994, -0.03291089715985734, -0.27663041881026057, 0.10724056574714477, 0.06543282162947733, 0.05173686046351786, -0.03414353117591045, -0.06668762418204827, -0.012784574951854397, 0.1233454440476098, -0.1455850448558626, -0.09665571682185667, 0.10883751420731672, -0.0719177104593789, -0.21945575673178938, 0.3338812938662338, -0.01097425677981533, -0.2771635351465923, 0.22677633406395917, -0.0725338974601177, -0.16967342850431555, 0.04379987976987098, 0.1371571060239536, 0.12198229650890485, -0.18234767821296805, 0.034125226647135055, -0.07980702695299367, 0.1713479911816902, 0.06598262574340476, 0.13567290389166045, 0.14872802647029157, 0.046558138089956805, 0.09161902933579977, 0.23728538112004943, 0.016348749788508553, -0.08116874105266494, -0.3305061333125732, -0.2069619122709407, -0.1928668234642351, 0.07628965969068632, -0.036442481406933826, -0.08012110765901256, 0.4581303410232067, 0.04633292310000932, 0.10005251817466294, 0.02484956217670172, 0.18473936983033037, 0.12720399554131828, 0.06568094153002765, 0.08767240930379169, 0.22623556689979493, 0.14909392445668823, -0.020487146940631945, -0.20431237998342172, 0.08371467034133975, 0.03257562050626415]
|
707.1781
|
Calculation of the metric in the Hilbert space of a PT-symmetric model
via the spectral theorem
|
In a previous paper (arXiv:math-ph/0604055) we introduced a very simple
PT-symmetric non-Hermitian Hamiltonian with real spectrum and derived a closed
formula for the metric operator relating the problem to a Hermitian one. In
this note we propose an alternative formula for the metric operator, which we
believe is more elegant and whose construction -- based on a backward use of
the spectral theorem for self-adjoint operators -- provides new insights into
the nature of the model.
|
math-ph math.MP quant-ph
|
in a previous paper arxivmathph0604055 we introduced a very simple ptsymmetric nonhermitian hamiltonian with real spectrum and derived a closed formula for the metric operator relating the problem to a hermitian one in this note we propose an alternative formula for the metric operator which we believe is more elegant and whose construction based on a backward use of the spectral theorem for selfadjoint operators provides new insights into the nature of the model
|
[['in', 'a', 'previous', 'paper', 'arxivmathph0604055', 'we', 'introduced', 'a', 'very', 'simple', 'ptsymmetric', 'nonhermitian', 'hamiltonian', 'with', 'real', 'spectrum', 'and', 'derived', 'a', 'closed', 'formula', 'for', 'the', 'metric', 'operator', 'relating', 'the', 'problem', 'to', 'a', 'hermitian', 'one', 'in', 'this', 'note', 'we', 'propose', 'an', 'alternative', 'formula', 'for', 'the', 'metric', 'operator', 'which', 'we', 'believe', 'is', 'more', 'elegant', 'and', 'whose', 'construction', 'based', 'on', 'a', 'backward', 'use', 'of', 'the', 'spectral', 'theorem', 'for', 'selfadjoint', 'operators', 'provides', 'new', 'insights', 'into', 'the', 'nature', 'of', 'the', 'model']]
|
[-0.10944714204389092, 0.04871727745802212, -0.1494112672820075, 0.087672937610378, -0.13128343332010284, -0.17228485347243816, 0.02787237271446454, 0.33361559468385293, -0.22393045051355068, -0.2211578894814808, 0.06848385788768224, -0.24424865913309463, -0.24292381977254193, 0.21893501083672762, -0.10032872190979654, 0.04354633882080447, 0.05779357024545029, 0.05021927566490812, -0.112788092737303, -0.1433161422355126, 0.39398985466128855, 0.04324110551443819, 0.2058058230155339, 0.10953598264413439, 0.12827820041255183, 0.03626074448023757, -0.023668383720190558, -0.038776152167622355, -0.12256904272681536, 0.19952902833018962, 0.227562265713023, 0.13012101768503245, 0.2474557767456321, -0.4151799438699876, -0.1789234513125848, 0.1478739451004626, 0.1291342792499887, 0.09424238703500684, -0.0645647713372704, -0.2886819478940882, 0.060128336580955004, -0.19152674485916552, -0.16717200654826753, -0.07450437163041063, 0.028658076827350543, -0.09592552751634423, -0.2920779215860857, 0.016524213127000895, 0.12207129995708596, 0.04291469066671721, -0.09085016998730294, -0.0770571532225466, 0.04907854289224703, 0.05011591063939953, -0.013460841234007927, -0.0028417337014441926, -0.001454668629863491, -0.015699768614355628, -0.11229134330602542, 0.37206292170265765, -0.08485385520728178, -0.2691347240789296, 0.09951670562261589, -0.06925927993063241, -0.1408183727324111, 0.05401088705618087, 0.13073523973484766, 0.1858781456105309, -0.18951795660979945, 0.1335257612127326, -0.09143321175281316, 0.09423527414974285, 0.015018587983021997, 0.06408834109108334, 0.12925654177694287, 0.12177215183587516, 0.11395823082261503, 0.1758556167390963, 0.02281371899880469, -0.12020599551192701, -0.3214376662436822, -0.17174973563739251, -0.18555044174857743, 0.09553347191173736, -0.12082612828936823, -0.23291702573634174, 0.47724761181089975, 0.13687139716994476, 0.23418136568714495, 0.10392046788841333, 0.27440660708736986, 0.2113845741427312, 0.03869406275502215, 0.05548040796556089, 0.17770000331563085, 0.1776520259014956, 0.11238995457884587, -0.15244851264566794, -0.03178944988718435, 0.16402612454959586]
|
707.1782
|
Magnetic reconnection at the termination shock in a striped pulsar wind
|
Most of the rotational luminosity of a pulsar is carried away by a
relativistic magnetised wind in which the matter energy flux is negligible
compared to the Poynting flux. Near the equatorial plane of an obliquely
rotating pulsar magnetosphere, the magnetic field reverses polarity with the
pulsar period, forming a wind with oppositely directed field lines. This
structure is called a striped wind; dissipation of alternating fields in the
striped wind is the object of our study.
The aim of this paper is to study the conditions required for magnetic energy
release at the termination shock of the striped pulsar wind. Magnetic
reconnection is considered via analytical methods and 1D relativistic PIC
simulations.
An analytical condition on the upstream parameters for partial and full
magnetic reconnection is derived from the conservation laws of energy, momentum
and particle number density across the relativistic shock. Furthermore, by
using a 1D relativistic PIC code, we study in detail the reconnection process
at the termination shock.
We found a very simple criterion for dissipation of alternating fields at the
termination shock, depending on the upstream parameters of the flow. 1D
relativistic PIC simulations are in agreement with our criterion.
Thus, alternating magnetic fields annihilate easily at relativistic highly
magnetised shocks.
|
astro-ph
|
most of the rotational luminosity of a pulsar is carried away by a relativistic magnetised wind in which the matter energy flux is negligible compared to the poynting flux near the equatorial plane of an obliquely rotating pulsar magnetosphere the magnetic field reverses polarity with the pulsar period forming a wind with oppositely directed field lines this structure is called a striped wind dissipation of alternating fields in the striped wind is the object of our study the aim of this paper is to study the conditions required for magnetic energy release at the termination shock of the striped pulsar wind magnetic reconnection is considered via analytical methods and 1d relativistic pic simulations an analytical condition on the upstream parameters for partial and full magnetic reconnection is derived from the conservation laws of energy momentum and particle number density across the relativistic shock furthermore by using a 1d relativistic pic code we study in detail the reconnection process at the termination shock we found a very simple criterion for dissipation of alternating fields at the termination shock depending on the upstream parameters of the flow 1d relativistic pic simulations are in agreement with our criterion thus alternating magnetic fields annihilate easily at relativistic highly magnetised shocks
|
[['most', 'of', 'the', 'rotational', 'luminosity', 'of', 'a', 'pulsar', 'is', 'carried', 'away', 'by', 'a', 'relativistic', 'magnetised', 'wind', 'in', 'which', 'the', 'matter', 'energy', 'flux', 'is', 'negligible', 'compared', 'to', 'the', 'poynting', 'flux', 'near', 'the', 'equatorial', 'plane', 'of', 'an', 'obliquely', 'rotating', 'pulsar', 'magnetosphere', 'the', 'magnetic', 'field', 'reverses', 'polarity', 'with', 'the', 'pulsar', 'period', 'forming', 'a', 'wind', 'with', 'oppositely', 'directed', 'field', 'lines', 'this', 'structure', 'is', 'called', 'a', 'striped', 'wind', 'dissipation', 'of', 'alternating', 'fields', 'in', 'the', 'striped', 'wind', 'is', 'the', 'object', 'of', 'our', 'study', 'the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'study', 'the', 'conditions', 'required', 'for', 'magnetic', 'energy', 'release', 'at', 'the', 'termination', 'shock', 'of', 'the', 'striped', 'pulsar', 'wind', 'magnetic', 'reconnection', 'is', 'considered', 'via', 'analytical', 'methods', 'and', '1d', 'relativistic', 'pic', 'simulations', 'an', 'analytical', 'condition', 'on', 'the', 'upstream', 'parameters', 'for', 'partial', 'and', 'full', 'magnetic', 'reconnection', 'is', 'derived', 'from', 'the', 'conservation', 'laws', 'of', 'energy', 'momentum', 'and', 'particle', 'number', 'density', 'across', 'the', 'relativistic', 'shock', 'furthermore', 'by', 'using', 'a', '1d', 'relativistic', 'pic', 'code', 'we', 'study', 'in', 'detail', 'the', 'reconnection', 'process', 'at', 'the', 'termination', 'shock', 'we', 'found', 'a', 'very', 'simple', 'criterion', 'for', 'dissipation', 'of', 'alternating', 'fields', 'at', 'the', 'termination', 'shock', 'depending', 'on', 'the', 'upstream', 'parameters', 'of', 'the', 'flow', '1d', 'relativistic', 'pic', 'simulations', 'are', 'in', 'agreement', 'with', 'our', 'criterion', 'thus', 'alternating', 'magnetic', 'fields', 'annihilate', 'easily', 'at', 'relativistic', 'highly', 'magnetised', 'shocks']]
|
[-0.1912771288341689, 0.18614561133014912, -0.02035034356132439, 0.10300304983024723, -0.10299815375299093, -0.08214584085638228, -0.015609538724569116, 0.38684988372678897, -0.25177555312730315, -0.3061463241781859, 0.029796266776297098, -0.2130471203932245, 0.005166924979031375, 0.24669708286974923, 0.05768638646718368, -0.028709178579659246, 0.07817101972946192, -0.008935539908616723, -0.0568474188743123, -0.14148815595900902, 0.2929383937277361, 0.14119056211694062, 0.21867567555327871, 0.01253819340858066, 0.07834869188710639, -0.06968857556947697, 0.03426395784947655, 0.03983746398323966, -0.1420305100454976, 0.030445245609989444, 0.1330942307198782, 0.03956004447140957, 0.21784527241410598, -0.514893604505771, -0.24342556716874242, -0.031080716447814287, 0.16991067019537615, 0.08409054440046938, -0.076919168291514, -0.2245204845710106, 0.047106939477583806, -0.19963918259091568, -0.17637185523856105, 0.0449173467242819, 0.0023587505724190654, 0.10057726333220715, -0.29753256900585257, 0.09969413646969275, 0.06495470855355678, 0.09566230595437358, -0.10358577606028616, -0.023658847210259692, -0.08421782696918015, 0.009947897197262755, 0.12210157913372297, 0.10176954729577473, 0.15829369476860733, -0.173745472673598, -0.06891530282141017, 0.3942935923023999, -0.019341940329256423, -0.15962724979894544, 0.1983426632167482, -0.22391758160213532, -0.10124099495802617, 0.23210578276075025, 0.16761669739899995, 0.10855960313601473, -0.133949118248725, 0.017544121471588563, -0.07825710425363601, 0.10953085938269652, 0.048876212758364755, -0.07187331749216876, 0.3115669024601868, 0.13404097119278446, 0.04013920405052277, 0.16242575634963746, -0.20193535505423268, -0.05528719250555828, -0.30733696206301014, -0.13667229891277724, -0.14886168203852365, 0.02800259813530714, -0.09729638748548787, -0.1637508076596488, 0.4126358150721537, 0.15694858248851903, 0.08234794556787148, -0.038887202306407576, 0.33786986686868, 0.15634090698084532, -0.016129569476230173, 0.20760579003445387, 0.290185007877033, 0.21193131948233518, 0.16954712014988932, -0.2804769715994994, 0.048747848977054496, 0.0915855136762138]
|
707.1783
|
A Photometrically Detected Forming Cluster of Galaxies at Redshift 1.6
in the GOODS Field
|
We report the discovery of a localized overdensity at z~1.6 in the
GOODS-South Field, presumably a poor cluster in the process of formation. The
three-dimensional galaxy density has been estimated on the basis of well
calibrated photometric redshifts from the multiband photometric GOODS-MUSIC
catalog using the (2+1)D technique. The density peak is embedded in the larger
scale overdensity of galaxies known to exist at z=1.61 in the area. The
properties of the member galaxies are compared to those of the surrounding
field and we found that the two populations are significantly different
supporting the reality of the structure. The reddest galaxies, once evolved
according to their best fit models, have colors consistent with the red
sequence of lower redshift clusters. The estimated M_200 total mass of the
cluster is in the range 1.3 x 10^14 - 5.7x 10^14 Msun, depending on the assumed
bias factor b. An upper limit for the 2-10 keV X-ray luminosity, based on the
1Ms Chandra observations, is L_X=0.5 x 10^43 erg s^-1, suggesting that the
cluster has not yet reached the virial equilibrium.
|
astro-ph
|
we report the discovery of a localized overdensity at z16 in the goodssouth field presumably a poor cluster in the process of formation the threedimensional galaxy density has been estimated on the basis of well calibrated photometric redshifts from the multiband photometric goodsmusic catalog using the 21d technique the density peak is embedded in the larger scale overdensity of galaxies known to exist at z161 in the area the properties of the member galaxies are compared to those of the surrounding field and we found that the two populations are significantly different supporting the reality of the structure the reddest galaxies once evolved according to their best fit models have colors consistent with the red sequence of lower redshift clusters the estimated m_200 total mass of the cluster is in the range 13 x 1014 57x 1014 msun depending on the assumed bias factor b an upper limit for the 210 kev xray luminosity based on the 1ms chandra observations is l_x05 x 1043 erg s1 suggesting that the cluster has not yet reached the virial equilibrium
|
[['we', 'report', 'the', 'discovery', 'of', 'a', 'localized', 'overdensity', 'at', 'z16', 'in', 'the', 'goodssouth', 'field', 'presumably', 'a', 'poor', 'cluster', 'in', 'the', 'process', 'of', 'formation', 'the', 'threedimensional', 'galaxy', 'density', 'has', 'been', 'estimated', 'on', 'the', 'basis', 'of', 'well', 'calibrated', 'photometric', 'redshifts', 'from', 'the', 'multiband', 'photometric', 'goodsmusic', 'catalog', 'using', 'the', '21d', 'technique', 'the', 'density', 'peak', 'is', 'embedded', 'in', 'the', 'larger', 'scale', 'overdensity', 'of', 'galaxies', 'known', 'to', 'exist', 'at', 'z161', 'in', 'the', 'area', 'the', 'properties', 'of', 'the', 'member', 'galaxies', 'are', 'compared', 'to', 'those', 'of', 'the', 'surrounding', 'field', 'and', 'we', 'found', 'that', 'the', 'two', 'populations', 'are', 'significantly', 'different', 'supporting', 'the', 'reality', 'of', 'the', 'structure', 'the', 'reddest', 'galaxies', 'once', 'evolved', 'according', 'to', 'their', 'best', 'fit', 'models', 'have', 'colors', 'consistent', 'with', 'the', 'red', 'sequence', 'of', 'lower', 'redshift', 'clusters', 'the', 'estimated', 'm_200', 'total', 'mass', 'of', 'the', 'cluster', 'is', 'in', 'the', 'range', '13', 'x', '1014', '57x', '1014', 'msun', 'depending', 'on', 'the', 'assumed', 'bias', 'factor', 'b', 'an', 'upper', 'limit', 'for', 'the', '210', 'kev', 'xray', 'luminosity', 'based', 'on', 'the', '1ms', 'chandra', 'observations', 'is', 'l_x05', 'x', '1043', 'erg', 's1', 'suggesting', 'that', 'the', 'cluster', 'has', 'not', 'yet', 'reached', 'the', 'virial', 'equilibrium']]
|
[-0.06848416503370655, 0.09574393399725523, -0.08475097401903688, 0.09233245942634354, -0.05903315052405973, -0.011645016439036805, 0.06280471449149032, 0.439302877697628, -0.10704397542444481, -0.3809574829329821, 0.0675681791094989, -0.31182285121493886, 0.015375772467285225, 0.18277116580231284, -0.0055582379758231, -0.01829010050212012, 0.026750546065159142, -0.002672207295704125, -0.06635231514048262, -0.3225390809463782, 0.2794768080533355, 0.052896656535184855, 0.24122703302418813, -0.0490351690234754, 0.07784636331383478, -0.08672269894900224, -0.05061344620348378, -0.0247252098253987, -0.16804290359711807, 0.03026389057876341, 0.20085426310927026, 0.09626807992059515, 0.2478806070311376, -0.3175738492758352, -0.18247183648385212, 0.06120517175308619, 0.20935429118319668, -0.0006646682873410596, -0.033346542780980766, -0.2769542729021685, 0.09809994548347524, -0.1795518220956596, -0.1719025960827077, 0.10024265252286568, 0.028553000103949507, 0.0329492170130834, -0.1971626195289983, 0.1834831832304851, -0.03452670808011052, 0.07667858538397096, -0.12542852594263174, -0.14183903581579216, -0.08335684267777568, 0.06667264713376592, -0.003364775356451653, 0.12407681644121608, 0.1873941652487371, -0.1539690878099381, -0.009679392974993045, 0.3865356625914997, -0.05406780211011541, 0.016894773147545162, 0.21268352317036426, -0.1991450703340392, -0.18787000511788807, 0.15075785959726834, 0.13127108516346198, 0.08942638936952624, -0.17286636628374585, 0.058585298607133816, -0.030204193518412383, 0.26250605655580084, 0.004856930479449643, 0.056958067967819014, 0.29030133407054975, 0.11718611601827433, 0.04741215190601493, 0.0714502454528966, -0.2114623113500949, -0.009825219987595285, -0.23483393239174885, -0.06303068049336699, -0.17614587923691777, 0.09982823599561512, -0.15745789015032974, -0.13366528231629424, 0.34397591470571404, 0.12775894124537113, 0.2296018521036868, 0.08297076862734022, 0.25877295586079446, 0.1213500489380253, 0.13721399859621836, 0.10869635524894958, 0.31855483241485094, 0.1765746526652947, 0.030996420349269596, -0.20023107946161128, 0.04690138991149566, 0.007081515381948769]
|
707.1784
|
Recent developments in heavy flavour production
|
We review one-particle inclusive production of heavy-flavoured hadrons in a
framework which resums the large collinear logarithms through the evolution of
the FFs and PDFs and retains the full dependence on the heavy-quark mass
without additional theoretical assumptions. We focus on presenting results for
the inclusive cross section for the production of charmed mesons in p anti-p
collisions and the comparison with CDF data from the Tevatron as well as on
inclusive B-meson production and comparison with recent CDF data. The third
topic is the production of D^* mesons in photoproduction and comparison with
recent H1 data from HERA.
|
hep-ph
|
we review oneparticle inclusive production of heavyflavoured hadrons in a framework which resums the large collinear logarithms through the evolution of the ffs and pdfs and retains the full dependence on the heavyquark mass without additional theoretical assumptions we focus on presenting results for the inclusive cross section for the production of charmed mesons in p antip collisions and the comparison with cdf data from the tevatron as well as on inclusive bmeson production and comparison with recent cdf data the third topic is the production of d mesons in photoproduction and comparison with recent h1 data from hera
|
[['we', 'review', 'oneparticle', 'inclusive', 'production', 'of', 'heavyflavoured', 'hadrons', 'in', 'a', 'framework', 'which', 'resums', 'the', 'large', 'collinear', 'logarithms', 'through', 'the', 'evolution', 'of', 'the', 'ffs', 'and', 'pdfs', 'and', 'retains', 'the', 'full', 'dependence', 'on', 'the', 'heavyquark', 'mass', 'without', 'additional', 'theoretical', 'assumptions', 'we', 'focus', 'on', 'presenting', 'results', 'for', 'the', 'inclusive', 'cross', 'section', 'for', 'the', 'production', 'of', 'charmed', 'mesons', 'in', 'p', 'antip', 'collisions', 'and', 'the', 'comparison', 'with', 'cdf', 'data', 'from', 'the', 'tevatron', 'as', 'well', 'as', 'on', 'inclusive', 'bmeson', 'production', 'and', 'comparison', 'with', 'recent', 'cdf', 'data', 'the', 'third', 'topic', 'is', 'the', 'production', 'of', 'd', 'mesons', 'in', 'photoproduction', 'and', 'comparison', 'with', 'recent', 'h1', 'data', 'from', 'hera']]
|
[0.00021689095430903963, 0.13724673041283633, -0.14469996821417502, 0.11872120089288048, -0.03329161757772619, -0.032946575859872006, 0.016377587699227862, 0.3081672488137929, -0.14754245179996947, -0.22611454777381937, -0.041904792978635266, -0.4277747722455498, 0.07784351679223656, 0.12785154863288908, 0.10562392207088345, 0.19103051269088278, 0.14928196436452745, -0.016434548121660647, -0.05513175094330853, -0.23019173221822564, 0.3750497410544241, 0.031742961155344744, 0.2322023342542275, 0.2011825821240141, 0.025538997540034053, 0.1308139571937676, -0.11168873767519012, -0.07028146246165941, -0.13206051422207796, 0.10323026677331361, 0.23655589835511315, 0.12851677690291627, 0.10026729411699555, -0.3860443439828514, -0.055447843984108076, 0.0711920585370425, 0.1541782213149197, 0.10582906644993621, -0.08752380652268502, -0.2972427537721215, 0.07729384842483948, -0.25858777297679525, -0.0822882397080339, -0.0988569167828319, 0.016415048160148087, 0.020140287767380777, -0.34572066957450875, 0.10566311104239595, -0.07482735103236116, 0.08259916083529742, -0.008977120937403254, -0.26608491933556516, -0.06772710366475612, -0.011507897581340689, 0.15376416345202185, 0.1122314166842085, 0.14175212740277252, -0.19783820489520262, -0.22553249445480456, 0.3608047806215708, -0.062423352076850756, -0.14620163344373607, 0.13497278677544208, -0.2522609865932603, -0.18787921639864869, 0.11632083664939862, 0.2773448179447741, 0.06754267642114575, -0.22061534739579214, 0.13656490312764571, -0.034952831275836385, 0.1421374671885537, 0.08072207672427399, 0.091582951221775, 0.10023694617128132, 0.2640994244191626, -0.08832385612068454, 0.02241979465311901, -0.10589699860370595, -0.10564697804776105, -0.46937911951857986, -0.09741638832716178, -0.08035940518414583, 0.05871918768330355, -0.05073025490017961, -0.07085958690467206, 0.3473843699979662, 0.05477298795706546, 0.3584463421838603, 0.04136981469969444, 0.37172414861017405, 0.06872096035224998, 0.04847855188159479, 0.1070564092158086, 0.2933981972135077, 0.18468180248241006, 0.19973512543271285, -0.22685711759358945, 0.07097325063160047, 0.03227041425968925]
|
707.1785
|
Instabilities for supercritical Schr\"odinger equations in analytic
manifolds
|
In this paper we consider supercritical nonlinear Schr\"odinger equations in
an analytic Riemannian manifold $(M^d,g)$, where the metric $g$ is analytic.
Using an analytic WKB method, we are able to construct an Ansatz for the
semiclassical equation for times independent of the small parameter. These
approximate solutions will help to show two different types of instabilities.
The first is in the energy space, and the second is an immediate loss of
regularity in higher Sobolev norms.
|
math.AP math-ph math.MP
|
in this paper we consider supercritical nonlinear schrodinger equations in an analytic riemannian manifold mdg where the metric g is analytic using an analytic wkb method we are able to construct an ansatz for the semiclassical equation for times independent of the small parameter these approximate solutions will help to show two different types of instabilities the first is in the energy space and the second is an immediate loss of regularity in higher sobolev norms
|
[['in', 'this', 'paper', 'we', 'consider', 'supercritical', 'nonlinear', 'schrodinger', 'equations', 'in', 'an', 'analytic', 'riemannian', 'manifold', 'mdg', 'where', 'the', 'metric', 'g', 'is', 'analytic', 'using', 'an', 'analytic', 'wkb', 'method', 'we', 'are', 'able', 'to', 'construct', 'an', 'ansatz', 'for', 'the', 'semiclassical', 'equation', 'for', 'times', 'independent', 'of', 'the', 'small', 'parameter', 'these', 'approximate', 'solutions', 'will', 'help', 'to', 'show', 'two', 'different', 'types', 'of', 'instabilities', 'the', 'first', 'is', 'in', 'the', 'energy', 'space', 'and', 'the', 'second', 'is', 'an', 'immediate', 'loss', 'of', 'regularity', 'in', 'higher', 'sobolev', 'norms']]
|
[-0.13632319341903845, 0.051172643229763615, -0.0785130837527839, 0.11068972491193563, -0.10309706421838583, -0.06372828898020089, -0.06044439974357374, 0.35241149037488195, -0.25731762974081857, -0.2185511509887874, 0.10294244768661692, -0.28242541986860725, -0.14457023401107444, 0.18860188511960013, -0.07821894647847664, 0.06687018380647428, 0.026337911851250714, 0.06822515423654725, -0.11216108564066847, -0.23375793539392026, 0.42446694366241755, 0.006037524386652206, 0.21259440482888176, 0.03372575766652038, 0.10292750147269353, -0.05736386553862279, 0.024727749858835812, -0.022989096775984905, -0.20706020087910523, 0.1124875174872087, 0.25265862113538834, 0.09198570656840993, 0.29959278960565205, -0.4617015710835786, -0.20965646041593955, 0.12055387574640151, 0.16761303581848838, 0.11975885151370771, -0.018938989096664284, -0.2823361962678303, 0.09115736082036931, -0.14277137539006376, -0.20383351867234237, -0.11041867218936156, 0.02969435438832366, 0.026214493052592797, -0.31165920314991746, 0.08331118290018487, 0.040689038468132675, -0.02392008466842143, -0.1542218672234173, -0.05103895411287483, 0.00528071557882389, 0.08434459530307274, 0.04663694797445236, 0.04290741388410281, 0.0065141547177183, -0.10280921744905706, -0.08525350370664934, 0.3286368930712342, -0.09241474027696409, -0.2932554440033671, 0.13850457838270813, -0.1365667679163284, -0.1187663318858923, 0.09591125541268603, 0.19535449604920455, 0.19482467500002762, -0.15354508955619836, 0.1407230958567724, -0.008318193704134932, 0.1250095532618855, 0.06083185024142854, -0.020646455562918595, 0.07483166999698274, 0.14363098662579432, 0.1236060953233391, 0.12863276666030288, -0.021529879016605646, -0.10559884566004928, -0.35199959397217945, -0.17881695725219815, -0.17000403855529025, 0.10813395835851368, -0.1897194845612256, -0.19184875066735244, 0.36646176403461905, 0.14156295303990574, 0.18650658163977296, 0.052155858631809486, 0.2701331252281211, 0.20279283292812147, -0.030159750830774244, 0.09520785672908746, 0.24441031560203746, 0.11513203296712354, 0.05773064599519497, -0.192952045010124, -0.050873820669949055, 0.14500831503813205]
|
707.1786
|
A new approach to the giant component problem
|
We study the largest component of a random (multi)graph on n vertices with a
given degree sequence. We let n tend to infinity. Then, under some regularity
conditions on the degree sequences, we give conditions on the asymptotic shape
of the degree sequence that imply that with high probability all the components
are small, and other conditions that imply that with high probability there is
a giant component and the sizes of its vertex and edge sets satisfy a law of
large numbers; under suitable assumptions these are the only two possibilities.
In particular, we recover the results by Molloy and Reed on the size of the
largest component in a random graph with a given degree sequence.
We further obtain a new sharp result for the giant component just above the
threshold, generalizing the case of G(n,p) with np=1+omega(n)n^{-1/3}, where
omega(n) tends to infinity arbitrarily slowly.
Our method is based on the properties of empirical distributions of
independent random variables, and leads to simple proofs.
|
math.CO math.PR
|
we study the largest component of a random multigraph on n vertices with a given degree sequence we let n tend to infinity then under some regularity conditions on the degree sequences we give conditions on the asymptotic shape of the degree sequence that imply that with high probability all the components are small and other conditions that imply that with high probability there is a giant component and the sizes of its vertex and edge sets satisfy a law of large numbers under suitable assumptions these are the only two possibilities in particular we recover the results by molloy and reed on the size of the largest component in a random graph with a given degree sequence we further obtain a new sharp result for the giant component just above the threshold generalizing the case of gnp with np1omegann13 where omegan tends to infinity arbitrarily slowly our method is based on the properties of empirical distributions of independent random variables and leads to simple proofs
|
[['we', 'study', 'the', 'largest', 'component', 'of', 'a', 'random', 'multigraph', 'on', 'n', 'vertices', 'with', 'a', 'given', 'degree', 'sequence', 'we', 'let', 'n', 'tend', 'to', 'infinity', 'then', 'under', 'some', 'regularity', 'conditions', 'on', 'the', 'degree', 'sequences', 'we', 'give', 'conditions', 'on', 'the', 'asymptotic', 'shape', 'of', 'the', 'degree', 'sequence', 'that', 'imply', 'that', 'with', 'high', 'probability', 'all', 'the', 'components', 'are', 'small', 'and', 'other', 'conditions', 'that', 'imply', 'that', 'with', 'high', 'probability', 'there', 'is', 'a', 'giant', 'component', 'and', 'the', 'sizes', 'of', 'its', 'vertex', 'and', 'edge', 'sets', 'satisfy', 'a', 'law', 'of', 'large', 'numbers', 'under', 'suitable', 'assumptions', 'these', 'are', 'the', 'only', 'two', 'possibilities', 'in', 'particular', 'we', 'recover', 'the', 'results', 'by', 'molloy', 'and', 'reed', 'on', 'the', 'size', 'of', 'the', 'largest', 'component', 'in', 'a', 'random', 'graph', 'with', 'a', 'given', 'degree', 'sequence', 'we', 'further', 'obtain', 'a', 'new', 'sharp', 'result', 'for', 'the', 'giant', 'component', 'just', 'above', 'the', 'threshold', 'generalizing', 'the', 'case', 'of', 'gnp', 'with', 'np1omegann13', 'where', 'omegan', 'tends', 'to', 'infinity', 'arbitrarily', 'slowly', 'our', 'method', 'is', 'based', 'on', 'the', 'properties', 'of', 'empirical', 'distributions', 'of', 'independent', 'random', 'variables', 'and', 'leads', 'to', 'simple', 'proofs']]
|
[-0.13523691365403603, 0.1421966799309082, -0.09125368414503156, 0.0068941640484174995, -0.05113854874913214, -0.11948895703606081, 0.06313614506048687, 0.35884918347001077, -0.2288441934989709, -0.27840376315977083, 0.11381803508054211, -0.27722177752716975, -0.1384970908391882, 0.16701451994930253, -0.0847134539734036, 0.03214214622275904, 0.08440706142873475, 0.09676804162110343, 0.0076751752689509, -0.27172891991865594, 0.3577062211041762, -0.00717331190226656, 0.23221381663514132, 0.03801847791905995, 0.08978776729200036, 0.0053245174924306795, 0.013421203718153816, 0.04396967693570663, -0.16810922995862326, 0.09320978395019969, 0.16601132887387365, 0.13399649240022743, 0.26763023242185063, -0.3967260773773446, -0.1550353464501148, 0.15715997237994364, 0.10251702619857635, 0.06580098026403874, -0.018888847788118505, -0.21759116300805048, 0.1788098596092878, -0.10124536919598044, -0.19005985200179346, -0.0268657647863482, 0.033890787059808095, 0.09708004533877652, -0.3244634652905392, 0.02384879688986323, 0.12700069829906252, 0.043859506406905974, 0.0011629549617117102, -0.1628278933140929, -0.004115378922980392, 0.12314026692712848, 0.043541229631977554, 0.018435637633824213, 0.05934600650869084, -0.11770014916617197, -0.07434549371457913, 0.32221788797866213, -0.0736695721181053, -0.19623458677564154, 0.21735431287000237, -0.18409138754518195, -0.17348177757001285, 0.10281135078068032, 0.1487129604613239, 0.13481620274520317, -0.07176296836837674, 0.09131584811045534, -0.07609985169926375, 0.15813074443827976, 0.0911162931754282, 0.05442221800930742, 0.14611461982695442, 0.10112977245060557, 0.13030435561840106, 0.16916869877251994, -0.07171303273573744, -0.04954883483323184, -0.3299801255040096, -0.10628542873556866, -0.225474689996124, 0.09076766782143915, -0.20070196405912144, -0.18267112836580385, 0.39893296193895916, 0.11842003017522847, 0.2753719752146439, 0.1353958650689685, 0.23980417373505505, 0.130071756597185, 0.04046927826041638, 0.11125206815812624, 0.13854566974738247, 0.16100146295361673, 0.0135925348706995, -0.15628009603612802, 0.10261216030427904, 0.07274571028961377]
|
707.1787
|
Canonical connections on paracontact manifolds
|
The canonical paracontact connection is defined and it is shown that its
torsion is the obstruction the paracontact manifold to be paraSasakian. A
$\mathcal{D}$-homothetic transformation is determined as a special gauge
transformation. The $\eta$-Einstein manifold are defined, it is prove that
their scalar curvature is a constant and it is shown that in the paraSasakian
case these spaces can be obtained from Einstein paraSasakian manifolds with a
$\mathcal{D}$-homothetic transformations. It is shown that an almost
paracontact structure admits a connection with totally skew-symmetric torsion
if and only if the Nijenhuis tensor of the paracontact structure is
skew-symmetric and the defining vector field is Killing.
|
math.DG
|
the canonical paracontact connection is defined and it is shown that its torsion is the obstruction the paracontact manifold to be parasasakian a mathcaldhomothetic transformation is determined as a special gauge transformation the etaeinstein manifold are defined it is prove that their scalar curvature is a constant and it is shown that in the parasasakian case these spaces can be obtained from einstein parasasakian manifolds with a mathcaldhomothetic transformations it is shown that an almost paracontact structure admits a connection with totally skewsymmetric torsion if and only if the nijenhuis tensor of the paracontact structure is skewsymmetric and the defining vector field is killing
|
[['the', 'canonical', 'paracontact', 'connection', 'is', 'defined', 'and', 'it', 'is', 'shown', 'that', 'its', 'torsion', 'is', 'the', 'obstruction', 'the', 'paracontact', 'manifold', 'to', 'be', 'parasasakian', 'a', 'mathcaldhomothetic', 'transformation', 'is', 'determined', 'as', 'a', 'special', 'gauge', 'transformation', 'the', 'etaeinstein', 'manifold', 'are', 'defined', 'it', 'is', 'prove', 'that', 'their', 'scalar', 'curvature', 'is', 'a', 'constant', 'and', 'it', 'is', 'shown', 'that', 'in', 'the', 'parasasakian', 'case', 'these', 'spaces', 'can', 'be', 'obtained', 'from', 'einstein', 'parasasakian', 'manifolds', 'with', 'a', 'mathcaldhomothetic', 'transformations', 'it', 'is', 'shown', 'that', 'an', 'almost', 'paracontact', 'structure', 'admits', 'a', 'connection', 'with', 'totally', 'skewsymmetric', 'torsion', 'if', 'and', 'only', 'if', 'the', 'nijenhuis', 'tensor', 'of', 'the', 'paracontact', 'structure', 'is', 'skewsymmetric', 'and', 'the', 'defining', 'vector', 'field', 'is', 'killing']]
|
[-0.25958361675125513, 0.12064816080307467, -0.10524327444391719, 0.09268590507249777, -0.190796128492086, -0.18285538909885174, -0.16279538167425647, 0.4279468218401934, -0.2953753089845682, -0.18670434763099855, 0.10892186290220707, -0.25620641575705333, -0.2821295845787972, 0.10555179143109573, -0.08122433407697827, -0.04819670734230805, 0.0505263211671263, 0.17150045587018561, -0.11574395345255303, -0.29302544185730556, 0.47899683450277036, 0.04375243591717803, 0.2555099087162839, 0.05331651844048443, 0.21013037335629073, -0.07123243529349566, 0.04111853966381974, 0.0507530283223157, -0.10971262015076579, 0.037360921887179405, 0.222838806539165, 0.1153856246763518, 0.1458517481581881, -0.2879838313361128, -0.16656984711321107, 0.1776867994161036, 0.07304695212335971, 0.005925513736796207, -0.003125219106620464, -0.32472713819767635, 0.12335717961258734, -0.09241179677729423, -0.14702176361438782, -0.1380690731278334, 0.057407052351314075, -0.08006260646148942, -0.22442976165621076, 0.004894123475563761, 0.11072105915249827, 0.03364657111859952, -0.11851908004721806, -0.036008177176811915, -0.15057410097842178, 0.046981412930808104, 0.06316300508870672, 0.12259242359477167, 0.09707709109912124, -0.02562072115072694, -0.05626804794995293, 0.382360227800046, -0.09603916161442892, -0.366995034699917, 0.06512145312108959, -0.07495106624600549, -0.10839068712756181, 0.10756054098041765, 0.007829621783457696, 0.15783123018291706, -0.11479508778407202, 0.20758539420113756, -0.10640345490089832, 0.06448608443875295, 0.12426201442632681, -0.06274524045427544, 0.15325458573016265, 0.0911899288990893, 0.1319553915035123, 0.11294502196967816, 0.050311210323483326, -0.07941994994437734, -0.34886700631334233, -0.2393805577706259, -0.16746249531682295, 0.21257747013050204, -0.13991189104126533, -0.19930036968910897, 0.33544762203326595, -0.032931747349301495, 0.1629296667037684, 0.08998467945583308, 0.22018073372041377, 0.06080704523460904, 0.08166701027389187, 0.1432165664065486, 0.2777388193286382, 0.30774657586768556, 0.03388339737788416, -0.10597124136760473, -0.01965834876934353, 0.1002559384259467]
|
707.1788
|
Searching for the Critical Point of QCD: Theoretical Benchmark
Calculations
|
We present a comprehensive study of event-by-event multiplicity fluctuations
in nucleon-nucleon and nucleus-nucleus interactions from AGS/FAIR to RHIC
energies within the UrQMD transport approach. The scaled variances of negative,
positive, and all charged hadrons are analysed. The scaled variance in central
Pb+Pb collisions increases with energy and behaves similar to inelastic p+p
interactions. We find a non-trivial dependence of multiplicity fluctuations on
the rapidity and transverse momentum interval used for the analysis and on the
centrality selection procedure. Quantitative predictions for the NA49
experiment are given, taking into account the acceptance of the detector and
the selection procedure of central events.
|
nucl-th
|
we present a comprehensive study of eventbyevent multiplicity fluctuations in nucleonnucleon and nucleusnucleus interactions from agsfair to rhic energies within the urqmd transport approach the scaled variances of negative positive and all charged hadrons are analysed the scaled variance in central pbpb collisions increases with energy and behaves similar to inelastic pp interactions we find a nontrivial dependence of multiplicity fluctuations on the rapidity and transverse momentum interval used for the analysis and on the centrality selection procedure quantitative predictions for the na49 experiment are given taking into account the acceptance of the detector and the selection procedure of central events
|
[['we', 'present', 'a', 'comprehensive', 'study', 'of', 'eventbyevent', 'multiplicity', 'fluctuations', 'in', 'nucleonnucleon', 'and', 'nucleusnucleus', 'interactions', 'from', 'agsfair', 'to', 'rhic', 'energies', 'within', 'the', 'urqmd', 'transport', 'approach', 'the', 'scaled', 'variances', 'of', 'negative', 'positive', 'and', 'all', 'charged', 'hadrons', 'are', 'analysed', 'the', 'scaled', 'variance', 'in', 'central', 'pbpb', 'collisions', 'increases', 'with', 'energy', 'and', 'behaves', 'similar', 'to', 'inelastic', 'pp', 'interactions', 'we', 'find', 'a', 'nontrivial', 'dependence', 'of', 'multiplicity', 'fluctuations', 'on', 'the', 'rapidity', 'and', 'transverse', 'momentum', 'interval', 'used', 'for', 'the', 'analysis', 'and', 'on', 'the', 'centrality', 'selection', 'procedure', 'quantitative', 'predictions', 'for', 'the', 'na49', 'experiment', 'are', 'given', 'taking', 'into', 'account', 'the', 'acceptance', 'of', 'the', 'detector', 'and', 'the', 'selection', 'procedure', 'of', 'central', 'events']]
|
[-0.08635025314753875, 0.18337023650296033, -0.20560609558713622, 0.18745115612167865, 0.03348288998473436, -0.07506312132813037, -0.0579751790582668, 0.34199929631082343, -0.16982540071941912, -0.29375423399731515, -0.08011652101995423, -0.39006959507241845, 0.07544737357180566, 0.1256162715679966, 0.05232962006470188, 0.10116019127424807, 0.14614705943735318, 0.024278801697073506, -0.03280409352038987, -0.1780430298577994, 0.28780035642907026, 0.1539854280743748, 0.26683620509691536, 0.1564772353321314, 0.09634991829749197, 0.14948119522770867, -0.06615914013935253, 0.09147837308235467, -0.16418794745724882, 0.05658705217094393, 0.27591912873089314, 0.020036224303767086, 0.19312239080667495, -0.35227742701768877, -0.12041401323862373, 0.1323552475264296, 0.12929453639953864, 0.09717659624293447, -0.06302935470594093, -0.2663997627608478, 0.0919726343639195, -0.22175551924447062, -0.10348342108423822, -0.07564376555383205, 0.0012806264869868755, 0.09377694123191758, -0.3016926417895593, 0.16018222607672214, 0.012373734680004418, 0.08763144212774933, -0.06361137215513736, -0.20507428397890182, -0.081950101274997, 0.059807627815753224, 0.09953637760132551, 0.030329266927437856, 0.19821353256469593, -0.11292229622311424, -0.13848121860995888, 0.346802380066365, 0.01895126116462052, -0.1598688816302456, 0.1612983505043667, -0.2160011615883559, -0.1377861109530204, 0.14389733735471963, 0.2925280894432217, 0.07845642651431263, -0.1955625681206584, 0.018784131641732527, 0.014438338642939925, 0.13908999947831036, 0.05925106596434489, 0.050384465456008914, 0.16086408732458948, 0.21576520845293998, -0.02132890157867223, 0.10644427611230639, -0.12502967416774483, -0.12987472192384303, -0.41228057611733676, -0.08131259765010328, -0.13690198608324863, 0.03290693521616049, -0.11395368389697978, -0.09085074143484234, 0.39284527165815236, 0.14232509319204836, 0.3078590426640585, 0.021153526613488793, 0.27442947727628053, 0.10589839074760675, 0.04631331439595669, 0.08024112560786306, 0.24161762407515197, 0.1549305698927492, 0.20212330653332175, -0.2783812786801718, 0.048881359337829056, 0.07087778471410275]
|
707.1789
|
ChPT Progress on Non-Leptonic and Radiative Kaon Decays
|
I discuss recent developments on non-leptonic and radiative kaon decays
mainly related to direct CP-violation within the combined ChPT and 1/N_c
expansion approaches. In particular, I review the status of K -> pi pi,
epsilon_K', direct CP-violating K+ -> 3 pi Dalitz plot slope g and decay rate
asymmetries, and the Standard Model prediction for Br(K_L -> pi0 e+ e-).
|
hep-ph hep-ex hep-lat
|
i discuss recent developments on nonleptonic and radiative kaon decays mainly related to direct cpviolation within the combined chpt and 1n_c expansion approaches in particular i review the status of k pi pi epsilon_k direct cpviolating k 3 pi dalitz plot slope g and decay rate asymmetries and the standard model prediction for brk_l pi0 e e
|
[['i', 'discuss', 'recent', 'developments', 'on', 'nonleptonic', 'and', 'radiative', 'kaon', 'decays', 'mainly', 'related', 'to', 'direct', 'cpviolation', 'within', 'the', 'combined', 'chpt', 'and', '1n_c', 'expansion', 'approaches', 'in', 'particular', 'i', 'review', 'the', 'status', 'of', 'k', 'pi', 'pi', 'epsilon_k', 'direct', 'cpviolating', 'k', '3', 'pi', 'dalitz', 'plot', 'slope', 'g', 'and', 'decay', 'rate', 'asymmetries', 'and', 'the', 'standard', 'model', 'prediction', 'for', 'brk_l', 'pi0', 'e', 'e']]
|
[-0.10128911037259457, 0.2232700369010369, -0.04435347251414338, 0.09955418165446374, -0.10425429570635683, -0.16151467086583898, 0.16463370078954062, 0.25049142199650143, -0.22535289624673233, -0.162115290695638, -0.07973924011866186, -0.4061444438503761, -0.01571570323747501, 0.08966746633431237, 0.11454780191885666, 0.10739658828497979, 0.09849661185095708, -0.017311013222002146, -0.08317727568608366, -0.15589064428288685, 0.21452820408893258, -0.033196453544262206, 0.17650374565110133, 0.1461791985978683, -0.128809265416573, 0.021898853796812005, -0.16198038625972053, -0.11970716894587927, -0.28908732187068253, 0.024012499766653043, 0.22284526005387306, 0.13079087980798232, 0.05593674180604387, -0.3391453195914724, -0.05067642939914214, 0.1517831918276977, 0.1930316400902117, -0.007878880106370178, 0.01015894076370291, -0.3795350933806938, 0.08484191112547067, -0.19445287453402815, -0.003046748375422076, -0.1361019430649385, 0.1386672828281135, -0.14277654716320204, -0.3690601218361081, 0.11412135022283908, -0.07133378733864479, 0.08790041606162528, 0.07981527010142281, -0.35667846392709435, 0.08491230919434313, -0.008971116003139238, 0.20305608941462674, 0.1519958196501983, 0.17416806025798187, -0.13526431879584203, -0.17482556649402045, 0.40548434709770637, -0.10221106381351619, -0.10817098748265651, 0.06721953083679341, -0.21684906219965533, -0.15922055627105006, 0.14035323131094246, 0.1813316606965504, 0.04590285272059733, -0.1199967946710163, 0.2022169991763995, 0.023170481665721655, 0.13762634708301016, 0.06353793540364948, 0.007882275267324428, 0.16524217437478927, 0.1436074422754086, -0.055445370730012655, -0.06729797996057753, -0.08574588153625659, -0.02689835264167765, -0.46215968020260334, -0.1116400904495988, -0.0070720077737381586, 0.09121302753817617, -0.054794040298203756, -0.012657913256828723, 0.3546102409202017, 0.035779033321887255, 0.27532829739676234, 0.012117629184534675, 0.3582050095786128, 0.07626652900587048, -0.02570826766947121, 0.05144173326787718, 0.2690685289470773, 0.27931424950886713, 0.1305954359357425, -0.3652859706627695, 0.024420594426102758, 0.041143776148377935]
|
707.179
|
A note on the radial solutions for the supercritical Henon equation
|
We prove the existence of a positive radial solution for the H\'enon equation
with arbitrary growth. The solution is found by means of a shooting method and
turns out to be an increasing function of the radial variable. Some numerical
experiments suggest the existence of many positive oscillating solutions.
|
math.AP
|
we prove the existence of a positive radial solution for the henon equation with arbitrary growth the solution is found by means of a shooting method and turns out to be an increasing function of the radial variable some numerical experiments suggest the existence of many positive oscillating solutions
|
[['we', 'prove', 'the', 'existence', 'of', 'a', 'positive', 'radial', 'solution', 'for', 'the', 'henon', 'equation', 'with', 'arbitrary', 'growth', 'the', 'solution', 'is', 'found', 'by', 'means', 'of', 'a', 'shooting', 'method', 'and', 'turns', 'out', 'to', 'be', 'an', 'increasing', 'function', 'of', 'the', 'radial', 'variable', 'some', 'numerical', 'experiments', 'suggest', 'the', 'existence', 'of', 'many', 'positive', 'oscillating', 'solutions']]
|
[-0.1629116112082408, 0.058536118801923144, -0.14152639043726484, 0.028935042963059127, -0.07373718810932976, -0.13130177392111142, -0.0016148258760875585, 0.282806397463214, -0.2853868978896311, -0.2439658476838044, 0.14397017474343277, -0.31828779240652005, -0.1608890431020789, 0.24205527435608057, 0.03424112168045677, 0.10312120812203811, 0.07783734707199798, 0.009679171009635439, -0.07297328758832751, -0.24479353819422575, 0.3479222861327687, -0.019548395002374843, 0.19321203209003623, 0.0629851882136902, 0.1368261383352231, -0.07522239957042799, -0.04748228448918279, 0.05259212648153913, -0.16831652013280865, 0.05768344638755127, 0.18433203834242054, 0.11323728033683586, 0.3670798845741214, -0.3536146939494552, -0.19855893120093612, 0.13492555680627727, 0.17066797475349538, 0.11604707838245193, -0.1357802658826493, -0.2691973710660728, 0.11894460883804084, -0.11207369374282354, -0.2670423346001427, -0.1127017884876351, 0.05232602570738111, 0.13093539702406684, -0.3236060772015124, 0.06961138029012601, 0.03381971261293, 0.0391248397586145, -0.17584767760898995, -0.07145699315077188, -0.02996562446980756, 0.0556210962846419, 0.12390462667871342, 0.032889390445067265, 0.03992490860044348, -0.0950958452434564, -0.05852322032371042, 0.29957818878548487, -0.10823304782032359, -0.29115778260997366, 0.1611606732286437, -0.15471736618260645, -0.06779092747946175, 0.14486012605912224, 0.09212489151490891, 0.18188268738817803, -0.1041544674021401, 0.06770422964295068, -0.09153193106627738, 0.1772837608824579, 0.11769250549889189, -0.08207599592053008, 0.2055873636688505, 0.12076059764973363, 0.15916617569984032, 0.15659325151485676, -0.018328174986705487, -0.10117413457102921, -0.29850805596429475, -0.17911057909760547, -0.1535542467609048, 0.09370479511325153, -0.13133727602051257, -0.20275839859125566, 0.3795100375439744, 0.10186463526012945, 0.2007908700224088, 0.04894259976869335, 0.21114028876229207, 0.20171658919021793, 0.01980055777394042, 0.06332640331808706, 0.21733237888808932, 0.13505312254918472, 0.09565509673284024, -0.2739074026918685, 0.06992365778138747, 0.09443330171765113]
|
707.1791
|
Bistability in superconducting rings containing an inhomogeneous
Josephson junction
|
We investigate the magnetic response of a superconducting Nb ring containing
a ferromagnetic PdNi Josephson junction and a tunnel junction in parallel. A
doubling of the switching frequency is observed within certain intervals of the
external magnetic field. Assuming sinusoidal current-phase relations of both
junctions our model of a dc-SQUID embedded within a superconducting ring
explains this feature by a sequence of current reversals in the ferromagnetic
section of the junction in these field intervals. The switching anomalies are
induced by the coupling between the magnetic fluxes in the two superconducting
loops.
|
cond-mat.mes-hall
|
we investigate the magnetic response of a superconducting nb ring containing a ferromagnetic pdni josephson junction and a tunnel junction in parallel a doubling of the switching frequency is observed within certain intervals of the external magnetic field assuming sinusoidal currentphase relations of both junctions our model of a dcsquid embedded within a superconducting ring explains this feature by a sequence of current reversals in the ferromagnetic section of the junction in these field intervals the switching anomalies are induced by the coupling between the magnetic fluxes in the two superconducting loops
|
[['we', 'investigate', 'the', 'magnetic', 'response', 'of', 'a', 'superconducting', 'nb', 'ring', 'containing', 'a', 'ferromagnetic', 'pdni', 'josephson', 'junction', 'and', 'a', 'tunnel', 'junction', 'in', 'parallel', 'a', 'doubling', 'of', 'the', 'switching', 'frequency', 'is', 'observed', 'within', 'certain', 'intervals', 'of', 'the', 'external', 'magnetic', 'field', 'assuming', 'sinusoidal', 'currentphase', 'relations', 'of', 'both', 'junctions', 'our', 'model', 'of', 'a', 'dcsquid', 'embedded', 'within', 'a', 'superconducting', 'ring', 'explains', 'this', 'feature', 'by', 'a', 'sequence', 'of', 'current', 'reversals', 'in', 'the', 'ferromagnetic', 'section', 'of', 'the', 'junction', 'in', 'these', 'field', 'intervals', 'the', 'switching', 'anomalies', 'are', 'induced', 'by', 'the', 'coupling', 'between', 'the', 'magnetic', 'fluxes', 'in', 'the', 'two', 'superconducting', 'loops']]
|
[-0.3481968696046945, 0.17505350007432635, 0.0051229586723544026, 0.02715700518582826, -0.02170057576807702, -0.12426742504897487, 0.07808576267258183, 0.397519306158242, -0.22986230893951395, -0.3067570058628917, -0.028462782977958737, -0.24019920119367863, -0.07359387215388857, 0.21710111006699584, 0.05227217163748877, -0.02866767316869379, -0.03365657709376967, 0.014476412441581488, -0.07730877617090616, -0.14452152503350668, 0.29005032975186146, -0.07168695165613748, 0.3198783980864707, 0.013399486247774052, 0.04717452980011054, -0.06094306070641007, 0.13096876527466203, 0.07591128350569583, -0.116891924271603, 0.05068588886490982, 0.209627912339309, -0.1077629785729147, 0.16009561938446257, -0.5116714679069169, -0.16133809026897603, 0.04779033377290825, 0.12616777606055382, 0.1031699825645141, -0.00027215597219765186, -0.2898224233042287, 0.05501122401683065, -0.12168528554763686, -0.05788830098311376, 0.019868449237116653, 0.003971455955331255, 0.07267548135512145, -0.27529481716413534, 0.037453061951648284, 0.10128714472343943, 0.1238059131934753, -0.00567521129572845, -0.023991114159403165, -0.035725471566168024, 0.020203294814564288, 0.014886037538931503, 0.060797865639197764, 0.18256210609156961, -0.13005761531657417, -0.13608849980822846, 0.23284824295779286, -0.09506401286015044, -0.10693789320066571, 0.08227419111189312, -0.19733095394811875, -0.04123694653643052, 0.12014075875302534, 0.0740548808952672, 0.06351258262293413, -0.2073974490466872, 0.10927392190016057, -0.010107938969588798, 0.1471594728367484, 0.1044942636710956, 0.014985681324184912, 0.3267523292452097, 0.26285207657264953, 0.022443194697109942, 0.17948327917079238, -0.17180725331316984, -0.05527812715761526, -0.334645875527159, -0.15343885552947936, -0.1640726065506106, 0.07158057620678016, -0.08958176790174152, -0.2574595215517785, 0.46309093292296416, 0.1495678094215691, 0.21988754396569793, -0.05988630373283978, 0.2977758677595336, 0.12023945287016788, 0.11804203010346416, 0.02663836124069665, 0.22775695684527897, 0.24809749194157674, 0.13140128144953886, -0.3252191292172622, 0.04851301806047559, -0.040887358897674385]
|
707.1792
|
Evolution of low-mass star and brown dwarf eclipsing binaries
|
We examine the evolution of low-mass star and brown dwarf eclipsing binaries.
These objects are rapid rotators and are believed to shelter large magnetic
fields. We suggest that reduced convective efficiency, due to fast rotation and
large field strengths, and/or to magnetic spot coverage of the radiating
surface significantly affect their evolution, leading to a reduced heat flux
and thus larger radii and cooler effective temperatures than for regular
objects. We have considered such processes in our evolutionary calculations,
using a phenomenological approach. This yields mass-radius and effective
temperature-radius relationships in agreement with the observations. We also
reproduce the effective temperature ratio and the radii of the two components
of the recently discovered puzzling eclipsing brown dwarf system. These
calculations show that fast rotation and/or magnetic activity may significantly
affect the evolution of eclipsing binaries and that the mechanical and thermal
properties of these objects depart from the ones of non-active low-mass
objects. We find that, for internal field strengths compatible with the
observed surface value of a few kiloGauss, convection can be severely
inhibited. The onset of a central radiative zone for rapidly rotating active
low-mass stars might thus occur below the usual $\sim 0.35 \msol$ limit.
|
astro-ph
|
we examine the evolution of lowmass star and brown dwarf eclipsing binaries these objects are rapid rotators and are believed to shelter large magnetic fields we suggest that reduced convective efficiency due to fast rotation and large field strengths andor to magnetic spot coverage of the radiating surface significantly affect their evolution leading to a reduced heat flux and thus larger radii and cooler effective temperatures than for regular objects we have considered such processes in our evolutionary calculations using a phenomenological approach this yields massradius and effective temperatureradius relationships in agreement with the observations we also reproduce the effective temperature ratio and the radii of the two components of the recently discovered puzzling eclipsing brown dwarf system these calculations show that fast rotation andor magnetic activity may significantly affect the evolution of eclipsing binaries and that the mechanical and thermal properties of these objects depart from the ones of nonactive lowmass objects we find that for internal field strengths compatible with the observed surface value of a few kilogauss convection can be severely inhibited the onset of a central radiative zone for rapidly rotating active lowmass stars might thus occur below the usual sim 035 msol limit
|
[['we', 'examine', 'the', 'evolution', 'of', 'lowmass', 'star', 'and', 'brown', 'dwarf', 'eclipsing', 'binaries', 'these', 'objects', 'are', 'rapid', 'rotators', 'and', 'are', 'believed', 'to', 'shelter', 'large', 'magnetic', 'fields', 'we', 'suggest', 'that', 'reduced', 'convective', 'efficiency', 'due', 'to', 'fast', 'rotation', 'and', 'large', 'field', 'strengths', 'andor', 'to', 'magnetic', 'spot', 'coverage', 'of', 'the', 'radiating', 'surface', 'significantly', 'affect', 'their', 'evolution', 'leading', 'to', 'a', 'reduced', 'heat', 'flux', 'and', 'thus', 'larger', 'radii', 'and', 'cooler', 'effective', 'temperatures', 'than', 'for', 'regular', 'objects', 'we', 'have', 'considered', 'such', 'processes', 'in', 'our', 'evolutionary', 'calculations', 'using', 'a', 'phenomenological', 'approach', 'this', 'yields', 'massradius', 'and', 'effective', 'temperatureradius', 'relationships', 'in', 'agreement', 'with', 'the', 'observations', 'we', 'also', 'reproduce', 'the', 'effective', 'temperature', 'ratio', 'and', 'the', 'radii', 'of', 'the', 'two', 'components', 'of', 'the', 'recently', 'discovered', 'puzzling', 'eclipsing', 'brown', 'dwarf', 'system', 'these', 'calculations', 'show', 'that', 'fast', 'rotation', 'andor', 'magnetic', 'activity', 'may', 'significantly', 'affect', 'the', 'evolution', 'of', 'eclipsing', 'binaries', 'and', 'that', 'the', 'mechanical', 'and', 'thermal', 'properties', 'of', 'these', 'objects', 'depart', 'from', 'the', 'ones', 'of', 'nonactive', 'lowmass', 'objects', 'we', 'find', 'that', 'for', 'internal', 'field', 'strengths', 'compatible', 'with', 'the', 'observed', 'surface', 'value', 'of', 'a', 'few', 'kilogauss', 'convection', 'can', 'be', 'severely', 'inhibited', 'the', 'onset', 'of', 'a', 'central', 'radiative', 'zone', 'for', 'rapidly', 'rotating', 'active', 'lowmass', 'stars', 'might', 'thus', 'occur', 'below', 'the', 'usual', 'sim', '035', 'msol', 'limit']]
|
[-0.11312138338836682, 0.2134155839954437, -0.03812524873405845, 0.12557344424075004, -0.10473340264088804, -0.07814033698252958, 0.08436774408839869, 0.37151800836389415, -0.1743229887250698, -0.38943126071432627, 0.05185912484938109, -0.26491737329034193, -0.08066807498420016, 0.2327735457672841, -0.05818427426063202, -0.01854683199163639, 0.09679046815033118, -0.028932199018802778, -0.07030776569930215, -0.20509262828184574, 0.3100747966579152, 0.05794037307490303, 0.14918056206843544, -0.026785097122568675, 0.023433015098550704, -0.08999343334422023, -0.021265271795922986, 0.023211047439036344, -0.1505502735159061, 0.03663145441260904, 0.22187098270197483, 0.06426620721403095, 0.16623946858306576, -0.41039155068986044, -0.23145699553248106, 0.0652017265327764, 0.18327333201240334, 0.06855884730472521, -0.06818904105184077, -0.22382622514381026, 0.09900019194012405, -0.1871440451124194, -0.17175670345360883, -0.04608035052778444, 0.07463007753672586, 0.05516447156380787, -0.24264616786732782, 0.11821273332308846, 0.08902213492517765, 0.07595833837026154, -0.14006590601433105, -0.1364161719178847, -0.07032177107046461, 0.0949376948398886, 0.06920670845188351, 0.04580690675518579, 0.20963376955449053, -0.14661810753486035, -0.001724089477023091, 0.3653470655583372, -0.08913989641241826, -0.04336330080357841, 0.2752467734983774, -0.20765340452392897, -0.13109430103242925, 0.1680882005020976, 0.16969832317254535, 0.16007926910051445, -0.14951538114697965, -0.028276269171549233, 0.03562318897133486, 0.1746606728393641, 0.03367160160019241, 0.06639701448291431, 0.35965539270663877, 0.14871332510768417, -0.018055182977232933, 0.07885186380125826, -0.19146923417451256, -0.08429838044597118, -0.18230788684550042, -0.0954384437545833, -0.09124255274196691, 0.05953442169508586, -0.12774987081752212, -0.14700880053516646, 0.32230314847335895, 0.15365627889269776, 0.203303862833465, 0.040206161143041846, 0.2748242477519494, 0.1165056638543099, 0.13920305139088834, 0.1330406978712276, 0.3480310530279471, 0.21283482324633032, 0.11230296809508493, -0.28849455620505554, 0.060270987128876526, -0.014724998292748374]
|
707.1793
|
Near-UV Merger Signatures in Early-Type Galaxies
|
Hierarchical assembly of early-type galaxies (Es and S0s) over an extended
period of time will result in mixed-generation stellar populations. Here we
look for signatures of composite populations in broad-band, near-ultraviolet
(2500-3400 A), high-resolution HST imaging of the cores of 12 bright early-type
galaxies without obvious dust or active galactic nuclei. Near-UV imaging is a
sensitive probe for the detection of younger components with ages in the range
of 10 Myr to 5 Gyr. Only two galaxies have central colors (r < 0.75 r_eff) that
are consistent with a single-generation population. The other ten require a
composite population.
|
astro-ph
|
hierarchical assembly of earlytype galaxies es and s0s over an extended period of time will result in mixedgeneration stellar populations here we look for signatures of composite populations in broadband nearultraviolet 25003400 a highresolution hst imaging of the cores of 12 bright earlytype galaxies without obvious dust or active galactic nuclei nearuv imaging is a sensitive probe for the detection of younger components with ages in the range of 10 myr to 5 gyr only two galaxies have central colors r 075 r_eff that are consistent with a singlegeneration population the other ten require a composite population
|
[['hierarchical', 'assembly', 'of', 'earlytype', 'galaxies', 'es', 'and', 's0s', 'over', 'an', 'extended', 'period', 'of', 'time', 'will', 'result', 'in', 'mixedgeneration', 'stellar', 'populations', 'here', 'we', 'look', 'for', 'signatures', 'of', 'composite', 'populations', 'in', 'broadband', 'nearultraviolet', '25003400', 'a', 'highresolution', 'hst', 'imaging', 'of', 'the', 'cores', 'of', '12', 'bright', 'earlytype', 'galaxies', 'without', 'obvious', 'dust', 'or', 'active', 'galactic', 'nuclei', 'nearuv', 'imaging', 'is', 'a', 'sensitive', 'probe', 'for', 'the', 'detection', 'of', 'younger', 'components', 'with', 'ages', 'in', 'the', 'range', 'of', '10', 'myr', 'to', '5', 'gyr', 'only', 'two', 'galaxies', 'have', 'central', 'colors', 'r', '075', 'r_eff', 'that', 'are', 'consistent', 'with', 'a', 'singlegeneration', 'population', 'the', 'other', 'ten', 'require', 'a', 'composite', 'population']]
|
[-0.04565102624167737, 0.1548995623354322, -0.09170433231874515, 0.12693820906141282, -0.0645470357058864, -0.08245906578867059, 0.026655192543311338, 0.4994812600314617, -0.09615291890835291, -0.39116080484205956, 0.039164799938321504, -0.2686370008085903, 0.0002500788774341345, 0.18322644280514827, -0.04859476614939539, -0.09221584589563703, 0.08235208710753604, -0.13168130264078315, -0.0068090484453071105, -0.3009006261752036, 0.2692590843984171, -0.004540322877858815, 0.09438077008939888, -0.13207906914482775, 0.03858997494374451, -0.07405469789917238, -0.10743455550247362, -0.05303169240023157, -0.1539823937405201, 0.018323307915737753, 0.28364313365401406, 0.1334110945536706, 0.2680188352536214, -0.35647713417481436, -0.19905605979851987, 0.12924010195818386, 0.27367244685853, 0.007030729743603028, -0.12755494292237257, -0.24369162635779695, 0.07402605956518336, -0.17194246657584844, -0.1930004241925321, 0.13221942471634401, 0.0870647819810792, 0.012749871606693455, -0.21629643964728243, 0.17784626158444505, -0.005598789031960462, 0.18141022972566517, -0.16131484205589483, -0.12200755384309511, -0.06682463272866843, 0.07249900696210955, -0.06002379668092257, 0.048114165114729025, 0.20428112709012472, -0.15281515160673542, -0.0268222212546358, 0.35005773694107406, -0.05897593206578964, 0.06746116679063753, 0.2820717436935459, -0.19798085774834218, -0.16603362000008162, 0.12139846497754517, 0.15642799143434355, 0.1284339716707013, -0.17702672904063213, 0.012432771165683669, -0.03180103028487218, 0.29985596402303166, 0.01494159843086412, 0.1203823849999983, 0.3300381771827999, 0.13706413651081292, 0.049427105066608516, 0.038740127348022436, -0.2789602789047517, -0.03126396789264522, -0.16394977400961674, -0.10941991419653947, -0.08974593349879509, 0.11082758519210313, -0.18210910058221902, -0.10156636165062848, 0.37341925828276495, 0.06877415586066873, 0.20289586729762193, 0.11229154808005612, 0.30314769798301555, 0.003846617675337352, 0.18881371599134963, 0.07895703812276847, 0.30728928086985097, 0.16196342092497568, 0.06408803633438717, -0.19422598793110074, 0.012503766498871539, -0.06427625948073049]
|
707.1794
|
Scaling study of the pion electroproduction cross sections and the pion
form factor
|
The $^{1}$H($e,e^\prime \pi^+$)n cross section was measured for a range of
four-momentum transfer up to $Q^2$=3.91 GeV$^2$ at values of the invariant
mass, $W$, above the resonance region. The $Q^2$-dependence of the longitudinal
component is consistent with the $Q^2$-scaling prediction for hard exclusive
processes. This suggests that perturbative QCD concepts are applicable at
rather low values of $Q^2$. Pion form factor results, while consistent with the
$Q^2$-scaling prediction, are inconsistent in magnitude with perturbative QCD
calculations. The extraction of Generalized Parton Distributions from hard
exclusive processes assumes the dominance of the longitudinal term. However,
transverse contributions to the cross section are still significant at
$Q^2$=3.91 GeV$^2$.
|
nucl-ex
|
the 1heeprime pin cross section was measured for a range of fourmomentum transfer up to q2391 gev2 at values of the invariant mass w above the resonance region the q2dependence of the longitudinal component is consistent with the q2scaling prediction for hard exclusive processes this suggests that perturbative qcd concepts are applicable at rather low values of q2 pion form factor results while consistent with the q2scaling prediction are inconsistent in magnitude with perturbative qcd calculations the extraction of generalized parton distributions from hard exclusive processes assumes the dominance of the longitudinal term however transverse contributions to the cross section are still significant at q2391 gev2
|
[['the', '1heeprime', 'pin', 'cross', 'section', 'was', 'measured', 'for', 'a', 'range', 'of', 'fourmomentum', 'transfer', 'up', 'to', 'q2391', 'gev2', 'at', 'values', 'of', 'the', 'invariant', 'mass', 'w', 'above', 'the', 'resonance', 'region', 'the', 'q2dependence', 'of', 'the', 'longitudinal', 'component', 'is', 'consistent', 'with', 'the', 'q2scaling', 'prediction', 'for', 'hard', 'exclusive', 'processes', 'this', 'suggests', 'that', 'perturbative', 'qcd', 'concepts', 'are', 'applicable', 'at', 'rather', 'low', 'values', 'of', 'q2', 'pion', 'form', 'factor', 'results', 'while', 'consistent', 'with', 'the', 'q2scaling', 'prediction', 'are', 'inconsistent', 'in', 'magnitude', 'with', 'perturbative', 'qcd', 'calculations', 'the', 'extraction', 'of', 'generalized', 'parton', 'distributions', 'from', 'hard', 'exclusive', 'processes', 'assumes', 'the', 'dominance', 'of', 'the', 'longitudinal', 'term', 'however', 'transverse', 'contributions', 'to', 'the', 'cross', 'section', 'are', 'still', 'significant', 'at', 'q2391', 'gev2']]
|
[-0.051312140712403864, 0.2073593888164378, -0.07519454260052431, 0.12939052241347213, -0.029181859882474685, -0.06703694549269311, 0.03978387810437396, 0.37772208950159575, -0.19121790754765566, -0.24823168882786636, -0.03656277602358657, -0.3392487698243839, 0.05123679184050548, 0.1663876136575853, 0.05524258049738612, 0.111338944642604, 0.08179245249939954, 0.03406645423078006, -0.08758066275784064, -0.13915358834189945, 0.35517665919027114, 0.06590286086631551, 0.26624523856594123, 0.1697474783009822, 0.10171866812973772, 0.052449731253050635, -0.06518349181491845, -0.05937739456127776, -0.12097433953821754, 0.06805362136824758, 0.2974684232762913, -0.027018880526913275, 0.1282677089030126, -0.2935510563784012, -0.1390559028022655, 0.04332395721143942, 0.12993647819753773, 0.060502793287194455, 0.03642512439279863, -0.20433341745877326, 0.11276364546167747, -0.1976918945420939, -0.13223712658048561, -0.09363484700754432, 0.009817517051325724, -0.064549157489898, -0.3468855869596695, 0.18139455314393682, -0.015546052251011133, 0.008632980251847881, -0.036538920526641726, -0.24357124782711415, -0.008916978410786331, 0.05952802380214971, 0.14615040156981068, 0.12130450182548254, 0.16749450260090945, -0.20864027225652174, -0.15088254687754382, 0.3719052132772337, -0.0024552167494698326, -0.15759483623862414, 0.10400299300983695, -0.2513711133713622, -0.12615719542257708, 0.23838614766476768, 0.18500548642645082, 0.08006945215448008, -0.16578609732413055, 0.08632754809528562, 0.013588852853062425, 0.18607511617114195, 0.08844054111344095, 0.010217494686309359, 0.19554733445333078, 0.1629479038748097, -0.07524765279180932, 0.030349476439278978, -0.08561308246963464, -0.14536454664119106, -0.4083032944599296, -0.05216643285227589, -0.08391445337121586, 0.08735966109578489, -0.10490566769633258, -0.10963924267873315, 0.31822442942723117, 0.10412839803303532, 0.2987563131321775, 0.06857127123996432, 0.3414008522977923, 0.14471268999657713, 0.1460205671414364, 0.06828605436655406, 0.3168563885005689, 0.17969385726322043, 0.13835196237835923, -0.17973322456813243, 0.07279677634671478, -0.0045086974508617775]
|
707.1795
|
Stochastic analysis and simulation of spin star systems
|
We discuss two methods of an exact stochastic representation of the
non-Markovian quantum dynamics of open systems. The first method employs a pair
of stochastic product vectors in the total system's state space, while the
second method uses a pair of state vectors in the open system's state space and
a random operator acting on the state space of the environment. Both techniques
lead to an exact solution of the von Neumann equation for the density matrix of
the total system. Employing a spin star model describing a central spin coupled
to bath of surrounding spins, we perform Monte Carlo simulations for both
variants of the stochastic dynamics. In addition, we derive analytical
expression for the expectation values of the stochastic dynamics to obtain the
exact solution for the density matrix of the central spin.
|
quant-ph
|
we discuss two methods of an exact stochastic representation of the nonmarkovian quantum dynamics of open systems the first method employs a pair of stochastic product vectors in the total systems state space while the second method uses a pair of state vectors in the open systems state space and a random operator acting on the state space of the environment both techniques lead to an exact solution of the von neumann equation for the density matrix of the total system employing a spin star model describing a central spin coupled to bath of surrounding spins we perform monte carlo simulations for both variants of the stochastic dynamics in addition we derive analytical expression for the expectation values of the stochastic dynamics to obtain the exact solution for the density matrix of the central spin
|
[['we', 'discuss', 'two', 'methods', 'of', 'an', 'exact', 'stochastic', 'representation', 'of', 'the', 'nonmarkovian', 'quantum', 'dynamics', 'of', 'open', 'systems', 'the', 'first', 'method', 'employs', 'a', 'pair', 'of', 'stochastic', 'product', 'vectors', 'in', 'the', 'total', 'systems', 'state', 'space', 'while', 'the', 'second', 'method', 'uses', 'a', 'pair', 'of', 'state', 'vectors', 'in', 'the', 'open', 'systems', 'state', 'space', 'and', 'a', 'random', 'operator', 'acting', 'on', 'the', 'state', 'space', 'of', 'the', 'environment', 'both', 'techniques', 'lead', 'to', 'an', 'exact', 'solution', 'of', 'the', 'von', 'neumann', 'equation', 'for', 'the', 'density', 'matrix', 'of', 'the', 'total', 'system', 'employing', 'a', 'spin', 'star', 'model', 'describing', 'a', 'central', 'spin', 'coupled', 'to', 'bath', 'of', 'surrounding', 'spins', 'we', 'perform', 'monte', 'carlo', 'simulations', 'for', 'both', 'variants', 'of', 'the', 'stochastic', 'dynamics', 'in', 'addition', 'we', 'derive', 'analytical', 'expression', 'for', 'the', 'expectation', 'values', 'of', 'the', 'stochastic', 'dynamics', 'to', 'obtain', 'the', 'exact', 'solution', 'for', 'the', 'density', 'matrix', 'of', 'the', 'central', 'spin']]
|
[-0.14393880250001395, 0.08449272376989635, -0.07743867084521938, 0.052685184213677766, 0.0074995954314039815, -0.08440194587068012, 0.034631690983143115, 0.32203280674466106, -0.2693138620842041, -0.24814674623862462, 0.0926689380891966, -0.2875838462953214, -0.10789340855898681, 0.18344445973289786, 0.03095253908799754, 0.07651593904797833, 0.08327331192515515, 0.08744894157301772, -0.12118798333944546, -0.18758143888855422, 0.33693359716853594, 0.030744998428660134, 0.25448946062199496, -0.025146605626300528, 0.18214295879696255, 0.053096306263641625, 0.006048884456632314, -0.008774854681514963, -0.11529599121444065, 0.12612070447109916, 0.18997734509822395, 0.1117268801321862, 0.26742644732197124, -0.4615378776358234, -0.19205410750151647, 0.0888457450394829, 0.11919102079528211, 0.17380150326320695, -0.03577071622065786, -0.29901756958829034, 0.008160234991185091, -0.21998068396415976, -0.14905282617029217, -0.08603848421049339, -0.001874413506852256, 0.016085894777939688, -0.28837717165825544, 0.1157787896623766, 0.03909055980405322, -0.023043459772209948, -0.10842869122409159, -0.1028908295099865, 0.0025417242406143084, 0.12966242903515834, -0.02663570571242383, 0.01507416659647047, 0.1286402528450169, -0.1417109662839384, -0.1462368512250207, 0.31793591956849454, -0.09593713050880642, -0.25804820670573797, 0.17214901589754003, -0.1308227643508602, -0.11511363902439674, 0.1126212344366919, 0.18909790141301022, 0.15321749590889172, -0.17948557366789492, 0.11164877197351651, -0.02909318090899399, 0.15515562932489924, -0.046224375262304586, 0.029665883940955002, 0.17443271636686944, 0.16206191041403348, 0.09384507551030428, 0.17180877125787514, -0.07315764719861802, -0.2109104655958988, -0.27505370793105277, -0.194208159408946, -0.20233839742011495, 0.05794403382611495, -0.1151118309477439, -0.19345388108933415, 0.39487751828230644, 0.15256133774226463, 0.18023138334629712, 0.03973066995989669, 0.2692243929124541, 0.17060742779738372, -0.018484002396602323, 0.08456396775113212, 0.16655079685582744, 0.223223543073982, 0.07892656284039495, -0.3037649995830617, 0.038323638079412005, 0.12500423322845663]
|
707.1796
|
Donor binding energy and thermally activated persistent
photoconductivity in high mobility (001) AlAs quantum wells
|
A doping series of AlAs (001) quantum wells with Si delta-modulation doping
on both sides reveals different dark and post-illumination saturation
densities, as well as temperature dependent photoconductivity. The lower dark
two-dimensional electron density saturation is explained assuming deep binding
energy of Delta_DK = 65.2 meV for Si-donors in the dark. Persistent
photoconductivity (PPC) is observed upon illumination, with higher saturation
density indicating shallow post-illumination donor binding energy. The
photoconductivity is thermally activated, with 4 K illumination requiring
post-illumination annealing to T = 30 K to saturate the PPC. Dark and
post-illumination doping efficiencies are reported.
|
cond-mat.mes-hall
|
a doping series of alas 001 quantum wells with si deltamodulation doping on both sides reveals different dark and postillumination saturation densities as well as temperature dependent photoconductivity the lower dark twodimensional electron density saturation is explained assuming deep binding energy of delta_dk 652 mev for sidonors in the dark persistent photoconductivity ppc is observed upon illumination with higher saturation density indicating shallow postillumination donor binding energy the photoconductivity is thermally activated with 4 k illumination requiring postillumination annealing to t 30 k to saturate the ppc dark and postillumination doping efficiencies are reported
|
[['a', 'doping', 'series', 'of', 'alas', '001', 'quantum', 'wells', 'with', 'si', 'deltamodulation', 'doping', 'on', 'both', 'sides', 'reveals', 'different', 'dark', 'and', 'postillumination', 'saturation', 'densities', 'as', 'well', 'as', 'temperature', 'dependent', 'photoconductivity', 'the', 'lower', 'dark', 'twodimensional', 'electron', 'density', 'saturation', 'is', 'explained', 'assuming', 'deep', 'binding', 'energy', 'of', 'delta_dk', '652', 'mev', 'for', 'sidonors', 'in', 'the', 'dark', 'persistent', 'photoconductivity', 'ppc', 'is', 'observed', 'upon', 'illumination', 'with', 'higher', 'saturation', 'density', 'indicating', 'shallow', 'postillumination', 'donor', 'binding', 'energy', 'the', 'photoconductivity', 'is', 'thermally', 'activated', 'with', '4', 'k', 'illumination', 'requiring', 'postillumination', 'annealing', 'to', 't', '30', 'k', 'to', 'saturate', 'the', 'ppc', 'dark', 'and', 'postillumination', 'doping', 'efficiencies', 'are', 'reported']]
|
[-0.10954067833557889, 0.2388488871997202, -0.04222653179869547, 0.08863638640652605, 0.022980949993355322, -0.24047928334694807, 0.07954426176057985, 0.42503478279808066, -0.19646010763820385, -0.42329400194460876, -0.04019766173627391, -0.3181426040623542, 0.007246690748545986, 0.1567594803700858, 0.009762476014157574, 0.018194318543044992, -0.07962557982530567, -0.04397139309363051, -0.07586307297614249, -0.23545919024579964, 0.20798472587305766, 0.0965796498857454, 0.3022255581678249, 0.18061064819262906, 0.0391983709062685, -0.0012470175471197772, 0.1073673205900487, -0.010268557325496778, -0.17029165264198576, 0.00035701472578304153, 0.26595687631845144, -0.09624108303195009, 0.15501596885068075, -0.41544613457069945, -0.26164977249413074, -0.009388456781200328, 0.10602112362803481, 0.0900881016105004, -0.10699260200164025, -0.2196981596381782, 0.048693812411319426, -0.0990863872236562, -0.055460005243830796, -0.010073748062195891, 0.004766498149915056, 0.021482306141099267, -0.23002416857487554, 0.2009833381705723, -0.004223052329117698, 0.033768994911512425, -0.1324387444336745, -0.22496775412934597, -0.11750864997188878, -0.05354478183665548, 0.03815309464122977, 0.021572117494153126, 0.30956954591917796, -0.13072873965151363, -0.05239167413418437, 0.27408969441203623, -0.13733048551552163, 0.012715760874306108, 0.162202340039005, -0.20007027774680775, -0.04041261485378657, 0.24860386943935855, 0.030533232449830233, 0.11631551033760942, -0.09151447496817007, 0.07985013574847931, 0.048137438255822756, 0.24033234448550822, 0.14857179816341498, 0.08530338517912142, 0.2693355835534141, 0.21491214690300134, 0.08775860813681732, 0.059209056625879566, -0.18919654720933637, -0.02229510983554544, -0.1989531891412808, -0.12913005234120967, -0.1758485663180741, 0.16657135047653054, -0.060453462322014845, -0.1429216287682181, 0.3252425242092583, 0.04774710984106155, 0.2088949970266485, -0.0016374621632416824, 0.2426425814628601, 0.16776908937442517, 0.05066404080755272, 0.054505199628912815, 0.22742802219895217, 0.19511674973822024, 0.13282599217759875, -0.29206439277034374, 0.07524782253920541, -0.0912402510632771]
|
707.1797
|
Possible Measurable Effects of Dark Energy in Rotating Superconductors
|
We discuss recent laboratory experiments with rotating superconductors and
show that three so far unexplained experimentally observed effects (anomalous
acceleration signals, anomalous gyroscope signals, Cooper pair mass excess) can
be physically explained in terms of a possible interaction of dark energy with
Cooper pairs. Our approach is based on a Ginzburg-Landau-like model of
electromagnetic dark energy, where gravitationally active photons obtain mass
in the superconductor. We show that this model can account simultaneously for
the anomalous acceleration and anomalous gravitomagnetic fields around rotating
superconductors measured by Tajmar et al. and for the anomalous Cooper pair
mass in superconductive Niobium, measured by Cabrera and Tate. It is argued
that these three different physical effects are ultimately different
experimental manifestations of the simultaneous spontaneous breaking of gauge
invariance, and of the principle of general covariance in superconductive
materials.
|
gr-qc astro-ph cond-mat.supr-con hep-th
|
we discuss recent laboratory experiments with rotating superconductors and show that three so far unexplained experimentally observed effects anomalous acceleration signals anomalous gyroscope signals cooper pair mass excess can be physically explained in terms of a possible interaction of dark energy with cooper pairs our approach is based on a ginzburglandaulike model of electromagnetic dark energy where gravitationally active photons obtain mass in the superconductor we show that this model can account simultaneously for the anomalous acceleration and anomalous gravitomagnetic fields around rotating superconductors measured by tajmar et al and for the anomalous cooper pair mass in superconductive niobium measured by cabrera and tate it is argued that these three different physical effects are ultimately different experimental manifestations of the simultaneous spontaneous breaking of gauge invariance and of the principle of general covariance in superconductive materials
|
[['we', 'discuss', 'recent', 'laboratory', 'experiments', 'with', 'rotating', 'superconductors', 'and', 'show', 'that', 'three', 'so', 'far', 'unexplained', 'experimentally', 'observed', 'effects', 'anomalous', 'acceleration', 'signals', 'anomalous', 'gyroscope', 'signals', 'cooper', 'pair', 'mass', 'excess', 'can', 'be', 'physically', 'explained', 'in', 'terms', 'of', 'a', 'possible', 'interaction', 'of', 'dark', 'energy', 'with', 'cooper', 'pairs', 'our', 'approach', 'is', 'based', 'on', 'a', 'ginzburglandaulike', 'model', 'of', 'electromagnetic', 'dark', 'energy', 'where', 'gravitationally', 'active', 'photons', 'obtain', 'mass', 'in', 'the', 'superconductor', 'we', 'show', 'that', 'this', 'model', 'can', 'account', 'simultaneously', 'for', 'the', 'anomalous', 'acceleration', 'and', 'anomalous', 'gravitomagnetic', 'fields', 'around', 'rotating', 'superconductors', 'measured', 'by', 'tajmar', 'et', 'al', 'and', 'for', 'the', 'anomalous', 'cooper', 'pair', 'mass', 'in', 'superconductive', 'niobium', 'measured', 'by', 'cabrera', 'and', 'tate', 'it', 'is', 'argued', 'that', 'these', 'three', 'different', 'physical', 'effects', 'are', 'ultimately', 'different', 'experimental', 'manifestations', 'of', 'the', 'simultaneous', 'spontaneous', 'breaking', 'of', 'gauge', 'invariance', 'and', 'of', 'the', 'principle', 'of', 'general', 'covariance', 'in', 'superconductive', 'materials']]
|
[-0.16467344906413928, 0.2408420777441386, -0.056636598043362886, 0.1171266201289494, -0.08344253162880812, -0.14046885937675732, 0.028454564059810603, 0.33765330238213, -0.18926245254217922, -0.36056197258671197, -0.04137033982175019, -0.2865259190405007, -0.10315069446668905, 0.19822609227369814, 0.008491772370796432, 0.03985152127193835, -0.027052943190724096, -0.01514766676871873, -0.0455194854965906, -0.20149254131555447, 0.3259708067429635, 0.03209173888899386, 0.31941387709230185, 0.07973212544354336, 0.11613629412878414, -0.042926436608575064, 0.014982919195009506, 0.004954640561824336, -0.09609178749424781, 0.026622649213737425, 0.2092430991166004, -0.003187652661889682, 0.15031547143521226, -0.4304812253000872, -0.24818075902294368, 0.10400147877825315, 0.14966923215851077, 0.1305887941408026, -0.10558803253618809, -0.33190459627932045, 0.024287280852577704, -0.17945387327755966, -0.12090510070779334, -0.07204821114154424, 0.034483433872296965, -0.013643733794143534, -0.2667810888687039, 0.12942908899276517, 0.054879058111991445, 0.025097070970599922, -0.08230941655004725, -0.09187949478698154, -0.029769794602864694, -0.008946313642595401, 0.10726188426077202, 0.012001011636183487, 0.16647674020222278, -0.10317758754792843, -0.1508758885320276, 0.35579970351981877, -0.07501717425047365, -0.11799153738299056, 0.1635583578780129, -0.1875518564004725, -0.10067510308684124, 0.12254189495134223, 0.1292627651573104, 0.07178625803327818, -0.18460724464453318, 0.0513811058631023, -0.07696572968030951, 0.10311325643081493, 0.05307053629589705, 0.09260499263944118, 0.3058660843080896, 0.16539278705022298, -0.059114601206280946, 0.08471218938340076, -0.11854937534628655, -0.014181209655362181, -0.31522118803781374, -0.14547300815020742, -0.1861827700118096, 0.026260787864243063, -0.04627404465731268, -0.09122071885640788, 0.3572918818441822, 0.1857383100398104, 0.19731930663179167, -0.05621353440801613, 0.28474070322494405, 0.07577050363333375, 0.09367984581930454, 0.0501931551604203, 0.3486485131947762, 0.13275956720976598, 0.0787933715944425, -0.3040222302558558, 0.026636896994793515, 0.041009787192759925]
|
707.1798
|
Density-PDFs and Lagrangian Statistics of highly compressible Turbulence
|
We report on probability-density-functions (PDF) of the mass density in
numerical simulations of highly compressible hydrodynamic flows and the
corresponding structure formation of Lagrangian particles advected by the
flows. Numerical simulations were performed with $512^3$ collocation points and
2 million tracer particles integrated over several dynamical times. We propose
a connection between the PDF of the Lagrangian tracer particles and the
predicted log-normal distribution of the density fluctuations in isothermal
systems.
|
physics.flu-dyn
|
we report on probabilitydensityfunctions pdf of the mass density in numerical simulations of highly compressible hydrodynamic flows and the corresponding structure formation of lagrangian particles advected by the flows numerical simulations were performed with 5123 collocation points and 2 million tracer particles integrated over several dynamical times we propose a connection between the pdf of the lagrangian tracer particles and the predicted lognormal distribution of the density fluctuations in isothermal systems
|
[['we', 'report', 'on', 'probabilitydensityfunctions', 'pdf', 'of', 'the', 'mass', 'density', 'in', 'numerical', 'simulations', 'of', 'highly', 'compressible', 'hydrodynamic', 'flows', 'and', 'the', 'corresponding', 'structure', 'formation', 'of', 'lagrangian', 'particles', 'advected', 'by', 'the', 'flows', 'numerical', 'simulations', 'were', 'performed', 'with', '5123', 'collocation', 'points', 'and', '2', 'million', 'tracer', 'particles', 'integrated', 'over', 'several', 'dynamical', 'times', 'we', 'propose', 'a', 'connection', 'between', 'the', 'pdf', 'of', 'the', 'lagrangian', 'tracer', 'particles', 'and', 'the', 'predicted', 'lognormal', 'distribution', 'of', 'the', 'density', 'fluctuations', 'in', 'isothermal', 'systems']]
|
[-0.17455132648880992, 0.13975768689831186, -0.13199553090546812, 0.03474655432094421, 0.08676892188045063, -0.028585978519237998, -0.03468621564762933, 0.3352857076363372, -0.20764304313010404, -0.35596472424055847, 0.0475529337534681, -0.31413195739899363, -0.06639239064284734, 0.12485339411401324, 0.08685839640508805, 0.1297445730173162, 0.05643882898480764, -0.06511571643474912, -0.09260731775014262, -0.19240564361680298, 0.29158751492588114, 0.09561146199703216, 0.22826676621500935, -0.012318403905789766, 0.11541973050417645, -0.0818394080802266, -0.12267393982037902, 0.028848227020353077, -0.2149172299408487, 0.05300283237759556, 0.14026644453406334, 0.03847044820099005, 0.19731247139362884, -0.48043580278754233, -0.2523404108493456, 0.06268691819693362, 0.21500652514930282, 0.03944859965039151, -0.08916154084061938, -0.25502632537058423, 0.04895749039216233, -0.17875605481011528, -0.17001913033558855, -0.054854903578026484, 0.009062814053946308, 0.11063702231539148, -0.26032247259697344, 0.20981700973518724, -0.04839547542131706, 0.09122702960989305, -0.04619856435539467, -0.07263546786936266, -0.08932485654950142, 0.04506285915350808, 0.034669270649153205, -0.02174719270218962, 0.23232295107362524, -0.1603966556822083, -0.04972341981317316, 0.42203304174223116, -0.07852495079028553, -0.24099821828837906, 0.22451959289610385, -0.17468630678818695, -0.06852760954227831, 0.19915939175656863, 0.23549369932817563, 0.13087109905463876, -0.12442206099180371, -0.0018934502158247466, -0.0904587022195171, 0.1728004649813686, 0.020240058616868086, -0.09714728043181822, 0.24305164543911814, 0.17421273066263113, 0.008523268079651253, 0.07102292262217295, -0.1605160151774596, -0.1862217556286071, -0.2932258430070111, -0.13609398201640163, -0.16999039643311076, 0.06297407685779036, -0.15640285146759458, -0.15903975842520596, 0.3665878276739802, 0.17085627502362644, 0.205911628476211, 0.08529329208457577, 0.2933573570967253, 0.09213785990806563, -0.013648499212493854, 0.14391100316175393, 0.19944883718022277, 0.19555910594894418, 0.11865166795406756, -0.20199275219014712, -0.00581632887811533, 0.09231710175185331]
|
707.1799
|
Open string with a background B-field as the first order mechanics,
noncommutativity and soldering formalism
|
To study noncommutativity properties of the open string with constant B-field
we construct a mechanical action which reproduces classical dynamics of the
string sector under consideration. It allows one to apply the Dirac
quantization procedure for constrained systems in a direct and unambiguous way.
The mechanical action turns out to be the first order system without taking the
strong field limit $B\longrightarrow\infty$. In particular, it is true for zero
mode of the string coordinate which means that the noncommutativity is
intrinsic property of this mechanical system. We describe the arbitrariness in
the relation existent between the mechanical and the string variables and show
that noncommutativity of the string variables on the boundary can be removed.
It is in correspondence with the result of Seiberg and Witten on relation among
noncommutative and ordinary Yang-Mills theories. The recently developed
soldering formalism helps us to establish a connection between the original
open string action and the Polyakov action.
|
hep-th
|
to study noncommutativity properties of the open string with constant bfield we construct a mechanical action which reproduces classical dynamics of the string sector under consideration it allows one to apply the dirac quantization procedure for constrained systems in a direct and unambiguous way the mechanical action turns out to be the first order system without taking the strong field limit blongrightarrowinfty in particular it is true for zero mode of the string coordinate which means that the noncommutativity is intrinsic property of this mechanical system we describe the arbitrariness in the relation existent between the mechanical and the string variables and show that noncommutativity of the string variables on the boundary can be removed it is in correspondence with the result of seiberg and witten on relation among noncommutative and ordinary yangmills theories the recently developed soldering formalism helps us to establish a connection between the original open string action and the polyakov action
|
[['to', 'study', 'noncommutativity', 'properties', 'of', 'the', 'open', 'string', 'with', 'constant', 'bfield', 'we', 'construct', 'a', 'mechanical', 'action', 'which', 'reproduces', 'classical', 'dynamics', 'of', 'the', 'string', 'sector', 'under', 'consideration', 'it', 'allows', 'one', 'to', 'apply', 'the', 'dirac', 'quantization', 'procedure', 'for', 'constrained', 'systems', 'in', 'a', 'direct', 'and', 'unambiguous', 'way', 'the', 'mechanical', 'action', 'turns', 'out', 'to', 'be', 'the', 'first', 'order', 'system', 'without', 'taking', 'the', 'strong', 'field', 'limit', 'blongrightarrowinfty', 'in', 'particular', 'it', 'is', 'true', 'for', 'zero', 'mode', 'of', 'the', 'string', 'coordinate', 'which', 'means', 'that', 'the', 'noncommutativity', 'is', 'intrinsic', 'property', 'of', 'this', 'mechanical', 'system', 'we', 'describe', 'the', 'arbitrariness', 'in', 'the', 'relation', 'existent', 'between', 'the', 'mechanical', 'and', 'the', 'string', 'variables', 'and', 'show', 'that', 'noncommutativity', 'of', 'the', 'string', 'variables', 'on', 'the', 'boundary', 'can', 'be', 'removed', 'it', 'is', 'in', 'correspondence', 'with', 'the', 'result', 'of', 'seiberg', 'and', 'witten', 'on', 'relation', 'among', 'noncommutative', 'and', 'ordinary', 'yangmills', 'theories', 'the', 'recently', 'developed', 'soldering', 'formalism', 'helps', 'us', 'to', 'establish', 'a', 'connection', 'between', 'the', 'original', 'open', 'string', 'action', 'and', 'the', 'polyakov', 'action']]
|
[-0.15989024822797487, 0.12966090515134976, -0.13805763162188717, 0.09237871865905192, -0.11175211684705762, -0.13550827003011554, 0.052484462098158026, 0.31354521427079796, -0.268622810903985, -0.29497818392701447, 0.06076978566805385, -0.22027565329023804, -0.17682783386984527, 0.14747077430441202, -0.07301513358720808, 0.036339880293839937, 0.027085174667322402, 0.08043985620032174, -0.07099975271803605, -0.23566565672903286, 0.35460700576084775, 0.04134317187519817, 0.2903378953183578, 0.02888807155571382, 0.1324769570960893, 0.02065235011993194, -0.009013505313884129, 0.04222303969096151, -0.10564242357241864, 0.11279240895860962, 0.18680379376444337, 0.079188787683772, 0.1642175832122274, -0.4089739117892338, -0.20724881470034068, 0.07877989116656993, 0.11411503174753448, 0.13720071634924788, 0.03529008513455606, -0.2764017077211242, 0.0673038974470858, -0.15621768725830337, -0.1423293832763606, -0.10168443755065272, 0.03032162126120446, -0.07675498580808038, -0.21754788584378246, 0.043700533929619596, 0.060843124240334445, 0.008732991465427851, -0.0652435096589298, -0.012048858044027992, -0.01688949317465742, 0.15033745927457975, 0.11067725996359844, 0.07677676216487518, 0.10956744807953765, -0.14011123231854047, -0.10494365101958347, 0.3943236684275477, -0.050650439401272104, -0.24023458976661424, 0.170505696525132, -0.141286644649196, -0.15273249454950527, 0.04704600311634312, 0.07182377640024892, 0.08841912263653592, -0.1565967506438784, 0.1820176601048571, -0.03197164073897913, 0.14377542785761951, 0.09851121330896828, 0.04310903452070696, 0.23545817211391284, 0.09798063162083787, 0.05808666637832565, 0.16923423704854515, -0.019253594466702793, -0.15949955662899928, -0.36746640310489703, -0.1657477163000483, -0.1128072199105911, 0.09527129000324949, -0.10968197495812647, -0.17082267296470266, 0.35493055239089993, 0.16257526811216838, 0.17944388040764767, 0.018327449738689057, 0.22392338183527064, 0.14734523060622734, 0.07535634529678599, 0.02832554969876134, 0.25993834233951646, 0.20050759235920093, 0.06589751084661716, -0.2968538639516654, -0.053947576170472744, 0.15096410568622123]
|
707.18
|
On the elastic moduli of three-dimensional assemblies of spheres:
characterization and modeling of fluctuations in the particle displacement
and rotation
|
The elastic moduli of four numerical random isotropic packings of Hertzian
spheres are studied. The four samples are assembled with different preparation
procedures, two of which aim to reproduce experimental compaction by vibration
and lubrication. The mechanical properties of the samples are found to change
with the preparation history, and to depend much more on coordination number
than on density.
Secondly, the fluctuations in the particle displacements from the average
strain are analysed, and the way they affect the macroscopic behavior analyzed.
It is found that only the average over equally oriented contacts of the
relative displacement these fluctuations induce is relevant at the macroscopic
scale. This average depends on coordination number, average geometry of the
contact network and average contact stiffness. As far as the separate
contributions from particle displacements and rotations are concerned, the
former is found to counteract the average strain along the contact normal,
while the latter do in the tangential plane. Conversely, the tangential
components of the center displacements mainly arise to enforce local
equilibrium, and have a small, and generally stiffening effect at the
macro-scale.
Finally, the fluctuations and the shear modulus that result from two
approaches available in the literature are estimated numerically. These
approaches are both based on the equilibrium of a small-sized representative
assembly. The improvement of these estimate with respect to the average strain
assumption indicates that the fluctuations relevant to the macroscopic behavior
occur with short correlation length.
|
cond-mat.mtrl-sci cond-mat.dis-nn cond-mat.stat-mech
|
the elastic moduli of four numerical random isotropic packings of hertzian spheres are studied the four samples are assembled with different preparation procedures two of which aim to reproduce experimental compaction by vibration and lubrication the mechanical properties of the samples are found to change with the preparation history and to depend much more on coordination number than on density secondly the fluctuations in the particle displacements from the average strain are analysed and the way they affect the macroscopic behavior analyzed it is found that only the average over equally oriented contacts of the relative displacement these fluctuations induce is relevant at the macroscopic scale this average depends on coordination number average geometry of the contact network and average contact stiffness as far as the separate contributions from particle displacements and rotations are concerned the former is found to counteract the average strain along the contact normal while the latter do in the tangential plane conversely the tangential components of the center displacements mainly arise to enforce local equilibrium and have a small and generally stiffening effect at the macroscale finally the fluctuations and the shear modulus that result from two approaches available in the literature are estimated numerically these approaches are both based on the equilibrium of a smallsized representative assembly the improvement of these estimate with respect to the average strain assumption indicates that the fluctuations relevant to the macroscopic behavior occur with short correlation length
|
[['the', 'elastic', 'moduli', 'of', 'four', 'numerical', 'random', 'isotropic', 'packings', 'of', 'hertzian', 'spheres', 'are', 'studied', 'the', 'four', 'samples', 'are', 'assembled', 'with', 'different', 'preparation', 'procedures', 'two', 'of', 'which', 'aim', 'to', 'reproduce', 'experimental', 'compaction', 'by', 'vibration', 'and', 'lubrication', 'the', 'mechanical', 'properties', 'of', 'the', 'samples', 'are', 'found', 'to', 'change', 'with', 'the', 'preparation', 'history', 'and', 'to', 'depend', 'much', 'more', 'on', 'coordination', 'number', 'than', 'on', 'density', 'secondly', 'the', 'fluctuations', 'in', 'the', 'particle', 'displacements', 'from', 'the', 'average', 'strain', 'are', 'analysed', 'and', 'the', 'way', 'they', 'affect', 'the', 'macroscopic', 'behavior', 'analyzed', 'it', 'is', 'found', 'that', 'only', 'the', 'average', 'over', 'equally', 'oriented', 'contacts', 'of', 'the', 'relative', 'displacement', 'these', 'fluctuations', 'induce', 'is', 'relevant', 'at', 'the', 'macroscopic', 'scale', 'this', 'average', 'depends', 'on', 'coordination', 'number', 'average', 'geometry', 'of', 'the', 'contact', 'network', 'and', 'average', 'contact', 'stiffness', 'as', 'far', 'as', 'the', 'separate', 'contributions', 'from', 'particle', 'displacements', 'and', 'rotations', 'are', 'concerned', 'the', 'former', 'is', 'found', 'to', 'counteract', 'the', 'average', 'strain', 'along', 'the', 'contact', 'normal', 'while', 'the', 'latter', 'do', 'in', 'the', 'tangential', 'plane', 'conversely', 'the', 'tangential', 'components', 'of', 'the', 'center', 'displacements', 'mainly', 'arise', 'to', 'enforce', 'local', 'equilibrium', 'and', 'have', 'a', 'small', 'and', 'generally', 'stiffening', 'effect', 'at', 'the', 'macroscale', 'finally', 'the', 'fluctuations', 'and', 'the', 'shear', 'modulus', 'that', 'result', 'from', 'two', 'approaches', 'available', 'in', 'the', 'literature', 'are', 'estimated', 'numerically', 'these', 'approaches', 'are', 'both', 'based', 'on', 'the', 'equilibrium', 'of', 'a', 'smallsized', 'representative', 'assembly', 'the', 'improvement', 'of', 'these', 'estimate', 'with', 'respect', 'to', 'the', 'average', 'strain', 'assumption', 'indicates', 'that', 'the', 'fluctuations', 'relevant', 'to', 'the', 'macroscopic', 'behavior', 'occur', 'with', 'short', 'correlation', 'length']]
|
[-0.13422162263804197, 0.1836338606020085, -0.08967859592195211, 0.037847994370814646, -0.01613193538788098, -0.08625400016984462, -0.0030169353964563193, 0.386990388317587, -0.2781420407980431, -0.3215701683927581, 0.08562843512722279, -0.29783813470670617, -0.11756185357908598, 0.17315827729716257, -0.002758270693615578, 0.03219166089620862, 0.02075060039308608, 0.0452885932842402, -0.07225243881769541, -0.24725099598061465, 0.28730679118019925, 0.05238194371160572, 0.3430015904337916, 0.015971881781693033, 0.07118739710271234, -0.0006575466096635019, -0.024190279529488424, 0.09295453299489652, -0.14471355452497317, 0.11071943743037505, 0.19007158366511245, -0.00911054267279149, 0.21302530028035077, -0.44459519875878817, -0.18403215055883898, 0.08054289001402558, 0.10943516248653966, 0.11387473782651111, 0.02924040667623794, -0.22369816661987718, 0.06535008570294297, -0.1022371712849947, -0.11514811247594997, -0.03476874853063484, 0.02808824577563633, 0.09284445750463761, -0.20100215275549801, 0.1364724479175356, 0.03595072145892963, 0.0816025082701447, -0.08508361881856015, -0.13719011070966627, -0.05896349858286085, 0.1519350538256278, 0.08889131947171146, 0.002038665083685118, 0.23297620717877868, -0.11477913797314758, -0.03151736569773039, 0.39437532226972, -0.02296264546444283, -0.21032734339370948, 0.21261677107136603, -0.1448364622957194, -0.08495393319632157, 0.17494841070385908, 0.16686487880196407, 0.08180526929732634, -0.13272989673586758, -0.005604735690570402, 0.01670442718844939, 0.1593146917749212, 0.07480890125184315, 0.01236115030337429, 0.19390226068524605, 0.13581933336581833, 0.06427841069817686, 0.1287743804260804, -0.10402354917188943, -0.12208109038392916, -0.30468817156151123, -0.10228154947786401, -0.18665124634212607, 0.0385191105646505, -0.11003420964637421, -0.1761686254962967, 0.33513717270343246, 0.13611798880769868, 0.20839573119067545, 0.07059760291614496, 0.2686021575883467, 0.05806881274149274, 0.07953994997258777, 0.04770458119270629, 0.3186938549688078, 0.12598815335255023, 0.07898751438437536, -0.2557218255208236, 0.11651211085624089, 0.0025996322944277124]
|
707.1801
|
Equations for Chow and Hilbert Quotients
|
We give explicit equations for the Chow and Hilbert quotients of a projective
scheme X by the action of an algebraic torus T in an auxiliary toric variety.
As a consequence we provide GIT descriptions of these canonical quotients, and
obtain other GIT quotients of X by variation of GIT quotient. We apply these
results to find equations for the moduli space \bar{M}_{0,n} of stable genus
zero n-pointed curves as a subvariety of a smooth toric variety defined via
tropical methods.
|
math.AG
|
we give explicit equations for the chow and hilbert quotients of a projective scheme x by the action of an algebraic torus t in an auxiliary toric variety as a consequence we provide git descriptions of these canonical quotients and obtain other git quotients of x by variation of git quotient we apply these results to find equations for the moduli space barm_0n of stable genus zero npointed curves as a subvariety of a smooth toric variety defined via tropical methods
|
[['we', 'give', 'explicit', 'equations', 'for', 'the', 'chow', 'and', 'hilbert', 'quotients', 'of', 'a', 'projective', 'scheme', 'x', 'by', 'the', 'action', 'of', 'an', 'algebraic', 'torus', 't', 'in', 'an', 'auxiliary', 'toric', 'variety', 'as', 'a', 'consequence', 'we', 'provide', 'git', 'descriptions', 'of', 'these', 'canonical', 'quotients', 'and', 'obtain', 'other', 'git', 'quotients', 'of', 'x', 'by', 'variation', 'of', 'git', 'quotient', 'we', 'apply', 'these', 'results', 'to', 'find', 'equations', 'for', 'the', 'moduli', 'space', 'barm_0n', 'of', 'stable', 'genus', 'zero', 'npointed', 'curves', 'as', 'a', 'subvariety', 'of', 'a', 'smooth', 'toric', 'variety', 'defined', 'via', 'tropical', 'methods']]
|
[-0.20632917673131565, 0.00951787967121309, -0.15974594297370426, 0.08402825579231168, -0.0796040138574662, -0.11662210209042202, -0.0025460098490670876, 0.3033940470604985, -0.38656063189293133, -0.16869583531041388, 0.12622181501923657, -0.18890930232764394, -0.15421380483211927, 0.2708353432309296, -0.22138149033725998, 0.0028116786277588503, 0.0361086548116334, 0.03840051035225725, -0.16942497258890926, -0.38837403656891833, 0.4828476483968121, -0.08507173110006584, 0.22464884707221278, 0.036206579088796806, 0.18253912455919716, -0.01577134143250684, -0.006927274989631073, -0.02913111792683291, -0.1988520219255193, 0.12974494606842873, 0.39466926614167513, 0.10074448515373616, 0.1061375691946366, -0.3837194927956587, -0.17072180252131305, 0.20478569117754145, 0.11132561237792726, 0.024506341895939393, 0.011654698071472439, -0.23547857727303548, 0.04942572489075426, -0.16988677895961352, -0.2186453826725483, -0.1966475973388663, 0.04911035745991049, 0.05385186397872957, -0.19891665051518767, -0.08957026250384471, 0.042747864925107106, 0.22009712881926033, -0.06533665975187848, -0.10666961760840804, -0.16709575697457718, 0.012968367586533228, -0.004048212011701163, 0.08373950547711165, 0.09226839756593108, -0.10005030816098974, -0.10915153283326898, 0.3723151212742115, -0.12345796260899393, -0.2504695707782643, 0.11488029883921515, -0.08884457461995843, -0.10231531288957706, 0.19129762943420145, 0.10730688367038965, 0.24074543838929616, 0.051885653764331414, 0.1962196003044898, -0.14543049956131496, 0.044838256306118436, 0.09665744136559007, 0.009364504614316019, 0.1379236328634031, 0.09444546974321574, 0.07060488769899548, 0.14909108850550207, 0.0016033128996230201, -0.04142179044486702, -0.4200635505495248, -0.21163581518375854, -0.039596533241831225, 0.2456883142736775, -0.1771326230513363, -0.18873969030876955, 0.3687026032440585, -0.005456432884122118, 0.23874138797242425, 0.10990225960878529, 0.24592138987816411, -0.005633106435085704, -0.015395851161928825, 0.0199146163592368, 0.07747176760968602, 0.21002193474222297, -0.07144333028096568, -0.13669973639138963, -0.06948694932263022, 0.29746152291557304]
|
707.1802
|
On the solutions of the dKP equation: nonlinear Riemann Hilbert problem,
longtime behaviour, implicit solutions and wave breaking
|
We make use of the nonlinear Riemann Hilbert problem of the dispersionless
Kadomtsev Petviashvili equation, i) to construct the longtime behaviour of the
solutions of its Cauchy problem; ii) to characterize a class of implicit
solutions; iii) to elucidate the spectral mechanism causing the gradient
catastrophe of localized solutions, at finite time as well as in the longtime
regime, and the corresponding universal behaviours near breaking.
|
nlin.SI
|
we make use of the nonlinear riemann hilbert problem of the dispersionless kadomtsev petviashvili equation i to construct the longtime behaviour of the solutions of its cauchy problem ii to characterize a class of implicit solutions iii to elucidate the spectral mechanism causing the gradient catastrophe of localized solutions at finite time as well as in the longtime regime and the corresponding universal behaviours near breaking
|
[['we', 'make', 'use', 'of', 'the', 'nonlinear', 'riemann', 'hilbert', 'problem', 'of', 'the', 'dispersionless', 'kadomtsev', 'petviashvili', 'equation', 'i', 'to', 'construct', 'the', 'longtime', 'behaviour', 'of', 'the', 'solutions', 'of', 'its', 'cauchy', 'problem', 'ii', 'to', 'characterize', 'a', 'class', 'of', 'implicit', 'solutions', 'iii', 'to', 'elucidate', 'the', 'spectral', 'mechanism', 'causing', 'the', 'gradient', 'catastrophe', 'of', 'localized', 'solutions', 'at', 'finite', 'time', 'as', 'well', 'as', 'in', 'the', 'longtime', 'regime', 'and', 'the', 'corresponding', 'universal', 'behaviours', 'near', 'breaking']]
|
[-0.125799351234243, 0.035465908827697575, -0.09113597447250152, 0.12323326968489158, -0.08256308960192131, -0.12928153190648917, 0.007717266283703573, 0.2720733093323581, -0.3582155827545758, -0.21485861102965745, 0.15167975487279226, -0.2817591775886037, -0.15104724598738054, 0.14115112403294805, -0.009402059935823534, 0.0832557305967026, -0.008286582658801115, -0.0023762428088847437, -0.10877942767304678, -0.1692797843733746, 0.37105149129814835, 0.025352769093870214, 0.27212223852631834, 0.04462752899042133, 0.13027047825920762, -0.06122726566073569, 0.03314755361696536, -0.03482314973194717, -0.15153628907335753, 0.03829777934659047, 0.26159836092230043, 0.06066131921993061, 0.2897322339316209, -0.441540106679454, -0.19002427828187743, 0.1176556398047868, 0.20320911454319052, 0.11744972110979936, 0.01470531832257455, -0.2786266630035684, 0.0627655887369518, -0.12201808268825214, -0.26656442874280567, -0.05971997667273337, 0.013852622444656763, 0.06198441189234004, -0.20371182398362594, 0.13067834877945256, 0.07446930885568938, -0.005979373543099923, -0.14064400282751938, -0.0071143264120275326, -0.041374702525155786, 0.0731849465730854, 0.10067628521585104, -0.058056064429834034, 0.022105847210199994, -0.1736536113030249, -0.0704126797023822, 0.37246200989818934, -0.08900613974070769, -0.2057920939670029, 0.186445284239722, -0.11974859214387834, -0.05965593922177725, 0.14227707215556593, 0.18322846343190494, 0.17411931541353237, -0.1068642652112017, 0.13026362225663793, -0.017543327945256322, 0.10731581191419426, 0.060540106457968555, 0.04652856305862466, 0.14409084062120228, 0.14323629328106163, 0.05968706552503687, 0.1539276952036854, -0.06353271575503502, -0.1523391923613169, -0.34729933269343083, -0.15492681681996945, -0.15399464541538196, 0.09108911350256566, -0.08928196187899272, -0.25072528949628275, 0.41856126384245174, 0.12123178752054545, 0.1852047694988097, 0.11316108546981757, 0.16320224102784062, 0.19947566697021213, -0.0032932722912819095, 0.07379048602711974, 0.2182911243289709, 0.12634914410018333, 0.17253635633228856, -0.3294283172228571, 0.014593918497363726, 0.16261939478290238]
|
707.1803
|
Local dielectric spectroscopy of near-surface glassy polymer dynamics
|
A non-contact scanning-probe-microscopy method was used to probe local
near-surface dielectric susceptibility and dielectric relaxation in
poly-vinyl-acetate (PVAc) near the glass transition. Dielectric spectra were
measured from 10-4 Hz to 102 Hz as a function of temperature. The measurements
probed a 20 nm thick layer below the free-surface of a bulk film. A small (4 K)
reduction in glass transition temperature and moderate narrowing of the
distribution of relaxation times was found. In contrast to results for
ultra-thin-films confined on or between metallic electrodes, no reduction in
the dielectric strength was found, inconsistent with the immobilization of
slower modes.
|
cond-mat.soft cond-mat.dis-nn
|
a noncontact scanningprobemicroscopy method was used to probe local nearsurface dielectric susceptibility and dielectric relaxation in polyvinylacetate pvac near the glass transition dielectric spectra were measured from 104 hz to 102 hz as a function of temperature the measurements probed a 20 nm thick layer below the freesurface of a bulk film a small 4 k reduction in glass transition temperature and moderate narrowing of the distribution of relaxation times was found in contrast to results for ultrathinfilms confined on or between metallic electrodes no reduction in the dielectric strength was found inconsistent with the immobilization of slower modes
|
[['a', 'noncontact', 'scanningprobemicroscopy', 'method', 'was', 'used', 'to', 'probe', 'local', 'nearsurface', 'dielectric', 'susceptibility', 'and', 'dielectric', 'relaxation', 'in', 'polyvinylacetate', 'pvac', 'near', 'the', 'glass', 'transition', 'dielectric', 'spectra', 'were', 'measured', 'from', '104', 'hz', 'to', '102', 'hz', 'as', 'a', 'function', 'of', 'temperature', 'the', 'measurements', 'probed', 'a', '20', 'nm', 'thick', 'layer', 'below', 'the', 'freesurface', 'of', 'a', 'bulk', 'film', 'a', 'small', '4', 'k', 'reduction', 'in', 'glass', 'transition', 'temperature', 'and', 'moderate', 'narrowing', 'of', 'the', 'distribution', 'of', 'relaxation', 'times', 'was', 'found', 'in', 'contrast', 'to', 'results', 'for', 'ultrathinfilms', 'confined', 'on', 'or', 'between', 'metallic', 'electrodes', 'no', 'reduction', 'in', 'the', 'dielectric', 'strength', 'was', 'found', 'inconsistent', 'with', 'the', 'immobilization', 'of', 'slower', 'modes']]
|
[-0.08754939280603964, 0.21085224286221044, -0.027524709432702705, -0.04317966772761849, 0.01871948808518037, -0.13639820887966408, 0.0596779549275957, 0.39667709905308546, -0.189503497981764, -0.32682229931821527, 0.04594363030118234, -0.32469554441337733, -0.050165025445335, 0.18383349934304805, 0.025292053032599238, 0.04889738193172157, -0.07006188110477224, -0.02539035441958797, -0.1243481723034812, -0.13641710497784554, 0.17351780088195942, 0.04251697211353511, 0.30746734949649723, 0.11146019489898049, 0.03990049532989098, -0.045934234808208706, 0.0935726622119546, 0.033599881964169215, -0.17915122390523092, -0.00252223978798414, 0.2544476496074925, -0.0910043298631676, 0.2062967152133123, -0.4310888320149988, -0.2093097683157503, -0.0021639300087831683, 0.10003112441591304, 0.08096062488969147, -0.021445834009485683, -0.22437918885159738, 0.04592578886940922, -0.09326730908576361, -0.13765306277536624, -0.005920008746619077, 0.02780291635648722, -0.04192583333969731, -0.26153592184454816, 0.16783487432895555, 0.032304195619965954, 0.1186501458575277, -0.12590733752345917, -0.11247454779990709, -0.05535957914748296, 0.023707659617450434, 0.03315853243981747, 0.08908721569627907, 0.2666749772951775, -0.0727393065954885, -0.03131083880440745, 0.33011157711795003, -0.16081925656300844, -0.04671995354499476, 0.21761424516894154, -0.22981707383782515, 0.034713418040539804, 0.2480667782119312, 0.15058759697856977, 0.1329547365954549, -0.1464897118047955, 0.007661630547144594, 0.03614453330501607, 0.26292252452256754, 0.15738569368061023, -0.007392692424059298, 0.19853359102703555, 0.23125352733408475, -0.020040566620138502, 0.16945478908799244, -0.16827781796791427, 0.014349717910271906, -0.2108932984272767, -0.15190160303789468, -0.22748960418021785, 0.08712197312384307, -0.12258255775968697, -0.1691760725687383, 0.339416706742546, 0.09539627917494971, 0.2127815236711932, -0.01119490103200846, 0.24976083279116867, 0.06712293898753975, 0.1364541478723902, 0.02887772846026058, 0.3292221757631326, 0.2206703698617819, 0.15162252187824896, -0.2565128416394258, 0.0685642628892104, -0.04012230672326285]
|
707.1804
|
Properties of high-T$_C$ copper oxides from the nearly-free electron
model
|
The generic band structure of high-T$_C$ copper oxides is simulated by the
nearly free-electron model (NFE) in two dimensions (2-D) with parameters from
band calculations. Interaction between phonons and spin waves will cause
potential modulations and pseudogaps, and the strength of the modulations, the
wave lengths and the doping, are all related. A Fermi-surface "arc" is found
for dynamic spin/phonon waves. The confinement of superconductivity between two
limiting dopings can be a result of competition with the pseudogap at low
doping and weak coupling at high doping.
|
cond-mat.supr-con cond-mat.mtrl-sci
|
the generic band structure of hight_c copper oxides is simulated by the nearly freeelectron model nfe in two dimensions 2d with parameters from band calculations interaction between phonons and spin waves will cause potential modulations and pseudogaps and the strength of the modulations the wave lengths and the doping are all related a fermisurface arc is found for dynamic spinphonon waves the confinement of superconductivity between two limiting dopings can be a result of competition with the pseudogap at low doping and weak coupling at high doping
|
[['the', 'generic', 'band', 'structure', 'of', 'hight_c', 'copper', 'oxides', 'is', 'simulated', 'by', 'the', 'nearly', 'freeelectron', 'model', 'nfe', 'in', 'two', 'dimensions', '2d', 'with', 'parameters', 'from', 'band', 'calculations', 'interaction', 'between', 'phonons', 'and', 'spin', 'waves', 'will', 'cause', 'potential', 'modulations', 'and', 'pseudogaps', 'and', 'the', 'strength', 'of', 'the', 'modulations', 'the', 'wave', 'lengths', 'and', 'the', 'doping', 'are', 'all', 'related', 'a', 'fermisurface', 'arc', 'is', 'found', 'for', 'dynamic', 'spinphonon', 'waves', 'the', 'confinement', 'of', 'superconductivity', 'between', 'two', 'limiting', 'dopings', 'can', 'be', 'a', 'result', 'of', 'competition', 'with', 'the', 'pseudogap', 'at', 'low', 'doping', 'and', 'weak', 'coupling', 'at', 'high', 'doping']]
|
[-0.20994028123630876, 0.24051543281295862, 0.013676559627484316, 0.07274477951624699, -0.005246324472707407, -0.1662917554100183, 0.08695496720443854, 0.3927668543671654, -0.2665824970421475, -0.2757288956811957, -0.026229765048068572, -0.3671791348820445, -0.1349156973027121, 0.1900817093000501, 0.07470511346680765, -0.013755655163717082, -0.03683228696557297, -0.09667000883719189, -0.155847223432756, -0.19372866797025434, 0.3213129322761777, 0.041587530662728495, 0.30836314758307287, 0.14592602652037281, -0.0035821549519468314, -0.00698658599700222, 0.16392124519180293, 0.012068817499040187, -0.12793193214797768, 0.02537871542889839, 0.32843413843101577, -0.13029212613814864, 0.1845763782905709, -0.420973578104, -0.25218457590531684, -0.04661994000853992, 0.10910460701340745, 0.17062915099420767, -0.056965090387939725, -0.2528288932584076, 0.009716707806306324, -0.1125063246501417, -0.13223749729162404, -0.040736682948538626, -0.004521491444915876, 0.0436775628477335, -0.261652721892962, 0.12390593296430748, 0.029089433248101294, 0.07262045067081685, -0.1406957431717765, -0.11404961637146342, -0.13419029917621492, 0.04525560809663315, 0.09757264150472508, 0.07855499223217197, 0.09810104291757633, -0.10817443426355891, -0.10179422975614152, 0.37042283694977046, -0.04177119534719607, -0.07115886379675619, 0.22007927818801895, -0.20905243399842033, -0.030978563883952027, 0.18754279448640074, 0.1065814890309997, 0.02073535316184848, -0.10953968220280655, 0.08438928526974733, 0.03010153324606202, 0.2009679924311309, 0.1066379108541142, 0.12314619345526243, 0.30755752259758357, 0.21231909095705753, 0.045431834233432326, 0.055662971224111304, -0.15587644715226073, 0.023829333345009678, -0.23038064819043394, -0.10069324784837234, -0.21518676697099903, 0.0025217003279684068, -0.13094186897830498, -0.18459693476793237, 0.4372471060132843, 0.12995065148082166, 0.16320082446260528, -0.06390642891530933, 0.1911865139337278, 0.12225890435792248, 0.06484213499245288, 0.047772449976496996, 0.2723413535725625, 0.1591024910469122, 0.07734933676968875, -0.3121077845210274, 0.07963489605670517, 0.009505266329038075]
|
707.1805
|
Diffusion and transfer of entanglement in an array of inductively
coupled flux qubits
|
A theoretical scheme to generate multipartite entangled states in a Josephson
planar-designed architecture is reported. This scheme improves the one
published in [Phys. Rev. B 74, 104503 (2006)] since it speeds up the generation
of W entangled states in an MxN array of inductively coupled Josephson flux
qubits by reducing the number of necessary steps. In addition, the same
protocol is shown to be able to transfer the W state from one row to the other.
|
cond-mat.supr-con cond-mat.other quant-ph
|
a theoretical scheme to generate multipartite entangled states in a josephson planardesigned architecture is reported this scheme improves the one published in phys rev b 74 104503 2006 since it speeds up the generation of w entangled states in an mxn array of inductively coupled josephson flux qubits by reducing the number of necessary steps in addition the same protocol is shown to be able to transfer the w state from one row to the other
|
[['a', 'theoretical', 'scheme', 'to', 'generate', 'multipartite', 'entangled', 'states', 'in', 'a', 'josephson', 'planardesigned', 'architecture', 'is', 'reported', 'this', 'scheme', 'improves', 'the', 'one', 'published', 'in', 'phys', 'rev', 'b', '74', '104503', '2006', 'since', 'it', 'speeds', 'up', 'the', 'generation', 'of', 'w', 'entangled', 'states', 'in', 'an', 'mxn', 'array', 'of', 'inductively', 'coupled', 'josephson', 'flux', 'qubits', 'by', 'reducing', 'the', 'number', 'of', 'necessary', 'steps', 'in', 'addition', 'the', 'same', 'protocol', 'is', 'shown', 'to', 'be', 'able', 'to', 'transfer', 'the', 'w', 'state', 'from', 'one', 'row', 'to', 'the', 'other']]
|
[-0.14443295246550208, 0.17876552281499292, 0.009947692497155151, -0.06832873124497112, -9.724825016550116e-05, -0.21292181782474792, 0.10278378212761537, 0.3594771687042069, -0.20682607231995193, -0.32785215186005506, -0.019598166323015215, -0.26175410058223514, -0.05930742182661905, 0.20352340613592518, -0.07361610669869224, 0.10010588579855205, 0.08241986597705683, -0.0019050676979728647, -0.00700477889512439, -0.31710905294764685, 0.21737187682978204, 0.0441075720245371, 0.34964171283551165, -0.001233941441200472, 0.08729278839923241, -0.048782979232586315, -0.0025205026330375993, -0.05441161256434547, -0.0812004544092594, 0.08613794086016463, 0.2546104962081724, 0.09914422883475954, 0.2173783134769749, -0.4169745832253751, -0.18418805818451014, 0.07776689548297105, 0.09062722375666774, 0.18251630353011392, 0.04938135946970244, -0.31935564994912696, 0.0467075242541378, -0.23629163987179463, -0.10158539380928552, -0.04339855843273973, 0.07567346921014423, -0.04098754896659631, -0.30261166431513187, 0.058166966666593344, 0.04618558358413646, -0.047483416752436676, 0.0637512213638606, -0.0763365382429313, -0.02758538390736322, 0.06353835099238299, -0.0766762435071271, 0.0877489590768803, 0.064521913013163, -0.0782634338066674, -0.15916823079759204, 0.3035662438519098, -0.05002901183340598, -0.1956968287358413, 0.18707889907464786, -0.09575654762620861, -0.11038570241952264, 0.13433607428246555, 0.12454760693819136, 0.11758347023026766, -0.14591777160751154, 0.03899894644997108, -0.07064632897743502, 0.20994669041671865, 0.09572816392205455, 0.06739338156389627, 0.14140714679819508, 0.1260170357528369, 0.08423500251327012, 0.18384604042669683, -0.07752578919501724, -0.06600061971442522, -0.2943669837880628, -0.2035443450550775, -0.24472011370282318, 0.08832612643773491, 0.041708301545145945, -0.09697779284505413, 0.42248491371218416, 0.16439539400665593, 0.20977836050646934, -0.04581311853552187, 0.2589959123398404, 0.07716890409387447, 0.078774849774876, 0.12027605516030579, 0.2401568854882105, 0.22144969322756436, 0.12017070301934271, -0.23817784496192895, 0.01653494218339187, 0.051619503175134994]
|
707.1806
|
Friction as a probe of surface properties of a polymer glass
|
We probe the temperature dependence of friction at the interface between a
glassy poly(methylmethacrylate) lens and a flat substrate coated with a
methyl-terminated self-assembled monolayer. The monolayer exhibits density
defects which act as pinning sites for the polymer chains. We show that the
shear response of such an interface supports the existence, at the surface of
the glassy polymer, of a nanometer-thick layer of mobile chains. Friction can
be ascribed to the interplay between viscouslike dissipation in this layer and
depinning of chains adsorbed on the substrate. We further show that the pinning
dynamics is controlled by \beta rotational motions localized at the interface.
|
cond-mat.soft
|
we probe the temperature dependence of friction at the interface between a glassy polymethylmethacrylate lens and a flat substrate coated with a methylterminated selfassembled monolayer the monolayer exhibits density defects which act as pinning sites for the polymer chains we show that the shear response of such an interface supports the existence at the surface of the glassy polymer of a nanometerthick layer of mobile chains friction can be ascribed to the interplay between viscouslike dissipation in this layer and depinning of chains adsorbed on the substrate we further show that the pinning dynamics is controlled by beta rotational motions localized at the interface
|
[['we', 'probe', 'the', 'temperature', 'dependence', 'of', 'friction', 'at', 'the', 'interface', 'between', 'a', 'glassy', 'polymethylmethacrylate', 'lens', 'and', 'a', 'flat', 'substrate', 'coated', 'with', 'a', 'methylterminated', 'selfassembled', 'monolayer', 'the', 'monolayer', 'exhibits', 'density', 'defects', 'which', 'act', 'as', 'pinning', 'sites', 'for', 'the', 'polymer', 'chains', 'we', 'show', 'that', 'the', 'shear', 'response', 'of', 'such', 'an', 'interface', 'supports', 'the', 'existence', 'at', 'the', 'surface', 'of', 'the', 'glassy', 'polymer', 'of', 'a', 'nanometerthick', 'layer', 'of', 'mobile', 'chains', 'friction', 'can', 'be', 'ascribed', 'to', 'the', 'interplay', 'between', 'viscouslike', 'dissipation', 'in', 'this', 'layer', 'and', 'depinning', 'of', 'chains', 'adsorbed', 'on', 'the', 'substrate', 'we', 'further', 'show', 'that', 'the', 'pinning', 'dynamics', 'is', 'controlled', 'by', 'beta', 'rotational', 'motions', 'localized', 'at', 'the', 'interface']]
|
[-0.18213395116109293, 0.22429326290699306, -0.09224636924398828, -0.05596900184286162, 0.009864257739006895, -0.17429237385976662, 0.048262706510180116, 0.4206703875430869, -0.30526475457348, -0.25710633994211235, 0.00925221299476813, -0.2918215225296981, -0.15444878739693646, 0.12947465209471223, 0.060246865097795005, -0.018246993616910526, -0.03417361726039496, -0.07493317240252367, -0.021090336229869174, -0.14281787653058062, 0.2566743675863497, 0.04768592832628095, 0.3339046536248575, 0.14284407781455125, 0.06852576649268564, -0.0007498863116991751, 0.1444597166320942, 0.05816141053021533, -0.22796554202103683, 0.06690898164753571, 0.20246346179142738, -0.1645658109404906, 0.1900063047492967, -0.5122247061339541, -0.22729810764018482, -0.015148905015469175, 0.12302223149940227, 0.14318671482456938, -0.0660388336021869, -0.2781616873785998, 0.046043329673267686, -0.10228729457142356, -0.11702403452731126, 0.010710490261683765, 0.005329399848881277, 0.06970574347374653, -0.21592809655025458, 0.11445865740556523, 0.07665596183760146, 0.08939270975375638, -0.10329801418131344, -0.03408659372514891, -0.1429521536083838, 0.09978909417534772, 0.07090902164605564, 0.01062535356675971, 0.29450896244441854, -0.139577360007713, -0.047283048687267654, 0.3461985273594127, -0.0746519944440682, -0.1553529141181447, 0.24969748025127117, -0.14104338772866187, -0.06505602340494256, 0.18884515283104863, 0.16167219599835503, 0.06785380361981473, -0.11977497969914536, 0.03939412949150157, 0.0027800153079668728, 0.23105235755877587, 0.09544506840615814, -0.004713197085029871, 0.28809435680074597, 0.26341881721452315, 0.0734561498105092, 0.20780375280566693, -0.15202627666701463, -0.03544303290410311, -0.2520590904078365, -0.2258254644750319, -0.2326665827326332, 0.05593830704218843, -0.12227807994321603, -0.22390292147716995, 0.3418852223571643, 0.08643871920581148, 0.17227097782159442, 0.028127910226845698, 0.17188894837299018, 0.05467374692331927, 0.06958400751961377, 0.023266108711114498, 0.2482948889232521, 0.14830139375436435, 0.10584010828051318, -0.28666983983813993, 0.09901905331073456, 0.017438856074450882]
|
707.1807
|
Measurement of Scattering Rate and Minimum Conductivity in Graphene
|
The conductivity of graphene samples with various levels of disorder is
investigated for a set of specimens with mobility in the range of
$1-20\times10^3$ cm$^2$/V sec. Comparing the experimental data with the
theoretical transport calculations based on charged impurity scattering, we
estimate that the impurity concentration in the samples varies from $2-15\times
10^{11}$ cm$^{-2}$. In the low carrier density limit, the conductivity exhibits
values in the range of $2-12e^2/h$, which can be related to the residual
density induced by the inhomogeneous charge distribution in the samples. The
shape of the conductivity curves indicates that high mobility samples contain
some short range disorder whereas low mobility samples are dominated by long
range scatterers.
|
cond-mat.mes-hall
|
the conductivity of graphene samples with various levels of disorder is investigated for a set of specimens with mobility in the range of 120times103 cm2v sec comparing the experimental data with the theoretical transport calculations based on charged impurity scattering we estimate that the impurity concentration in the samples varies from 215times 1011 cm2 in the low carrier density limit the conductivity exhibits values in the range of 212e2h which can be related to the residual density induced by the inhomogeneous charge distribution in the samples the shape of the conductivity curves indicates that high mobility samples contain some short range disorder whereas low mobility samples are dominated by long range scatterers
|
[['the', 'conductivity', 'of', 'graphene', 'samples', 'with', 'various', 'levels', 'of', 'disorder', 'is', 'investigated', 'for', 'a', 'set', 'of', 'specimens', 'with', 'mobility', 'in', 'the', 'range', 'of', '120times103', 'cm2v', 'sec', 'comparing', 'the', 'experimental', 'data', 'with', 'the', 'theoretical', 'transport', 'calculations', 'based', 'on', 'charged', 'impurity', 'scattering', 'we', 'estimate', 'that', 'the', 'impurity', 'concentration', 'in', 'the', 'samples', 'varies', 'from', '215times', '1011', 'cm2', 'in', 'the', 'low', 'carrier', 'density', 'limit', 'the', 'conductivity', 'exhibits', 'values', 'in', 'the', 'range', 'of', '212e2h', 'which', 'can', 'be', 'related', 'to', 'the', 'residual', 'density', 'induced', 'by', 'the', 'inhomogeneous', 'charge', 'distribution', 'in', 'the', 'samples', 'the', 'shape', 'of', 'the', 'conductivity', 'curves', 'indicates', 'that', 'high', 'mobility', 'samples', 'contain', 'some', 'short', 'range', 'disorder', 'whereas', 'low', 'mobility', 'samples', 'are', 'dominated', 'by', 'long', 'range', 'scatterers']]
|
[-0.11212256597995826, 0.19831245778760778, -0.023266608177453553, 0.0009851401827699684, 0.05710634251270409, -0.07900255779231634, 0.058703069252585734, 0.39221433809864414, -0.22277176786863476, -0.3523199448720851, 0.04995460656937212, -0.37319918555301534, -0.042354774206915205, 0.17689667892249283, -0.021993777065307175, 0.02277615140825019, -0.015283272112506109, -0.03623999680025042, -0.07422862431342038, -0.20211549740660628, 0.2672532858292854, 0.042682380761541086, 0.35489688204054576, 0.10914149037946802, 0.04026634838440618, 0.03554091842657109, 0.05792394308629659, 0.06656531769132942, -0.1282211485616019, 0.07389678292557461, 0.2553556021217496, -0.07034948176422387, 0.1768684219953459, -0.41861257631194976, -0.2610335587566599, 0.01883366665110812, 0.11233262478271414, 0.11700508863891586, -0.09120076401436855, -0.2516426170466963, 0.10344510038870328, -0.12034512440665462, -0.10681315667397522, -0.028056116855848547, 0.03726073298517854, 0.05733130790224863, -0.2636958910579528, 0.18775637506682494, -0.03772646638163186, 0.06285898967739782, -0.12122507556127983, -0.15826278619058087, -0.04291485634807565, 0.09275619029024736, 0.09594214151809932, -0.009833757116228616, 0.21756451336854915, -0.15595881336736023, -0.01572204425657561, 0.3518084583274268, -0.09408860658765386, -0.11717444606212933, 0.18359720478167568, -0.22390747931999488, -0.06125104420502252, 0.23591992278250123, 0.13780461622555867, 0.09834234191344009, -0.1530381704279042, 0.0791370877851903, -0.01899404159465104, 0.1945887976240606, 0.03531262126255678, 0.07283057242102169, 0.19339001711902268, 0.20234309778647036, 0.020499244304544747, 0.09517720642439816, -0.16469082112184838, 0.0010536082682772242, -0.23264025643878028, -0.10465595508934161, -0.24916724800858475, 0.08893032090892213, -0.13844377009215159, -0.18120158888792637, 0.4055816956172022, 0.19856143656075684, 0.26984056530076017, 0.031035672677809014, 0.20652035548599487, 0.15446093274345044, 0.07217635955969127, 0.038003900301975944, 0.18611274051630589, 0.14720734191947368, 0.08586119267012958, -0.24857095377135235, 0.09762840856874891, -0.056720570998625194]
|
707.1808
|
Universal L^s -rate-optimality of L^r-optimal quantizers by dilatation
and contraction
|
Let $ r, s>0 $. For a given probability measure $P$ on $\mathbb{R}^d$, let
$(\alpha_n)_{n \geq 1}$ be a sequence of (asymptotically) $L^r(P)$- optimal
quantizers. For all $\mu \in \mathbb{R}^d $ and for every $\theta >0$, one
defines the sequence $(\alpha_n^{\theta, \mu})_{n \geq 1}$ by : $\forall n \geq
1, \alpha_n^{\theta, \mu} = \mu + \theta(\alpha_n - \mu) = \{\mu + \theta(a-
\mu), a \in \alpha_n \} $. In this paper, we are interested in the asymptotics
of the $L^s$-quantization error induced by the sequence $(\alpha_n^{\theta,
\mu})_{n \geq 1}$. We show that for a wide family of distributions, the
sequence $(\alpha_n^{\theta, \mu})_{n \geq 1}$ is $L^s$-rate-optimal. For the
Gaussian and the exponential distributions, one shows how to choose the
parameter $\theta$ such that $(\alpha_n^{\theta, \mu})_{n \geq 1}$ satisfies
the empirical measure theorem and probably be asymptotically $L^s$-optimal.
|
math.PR
|
let r s0 for a given probability measure p on mathbbrd let alpha_n_n geq 1 be a sequence of asymptotically lrp optimal quantizers for all mu in mathbbrd and for every theta 0 one defines the sequence alpha_ntheta mu_n geq 1 by forall n geq 1 alpha_ntheta mu mu thetaalpha_n mu mu thetaa mu a in alpha_n in this paper we are interested in the asymptotics of the lsquantization error induced by the sequence alpha_ntheta mu_n geq 1 we show that for a wide family of distributions the sequence alpha_ntheta mu_n geq 1 is lsrateoptimal for the gaussian and the exponential distributions one shows how to choose the parameter theta such that alpha_ntheta mu_n geq 1 satisfies the empirical measure theorem and probably be asymptotically lsoptimal
|
[['let', 'r', 's0', 'for', 'a', 'given', 'probability', 'measure', 'p', 'on', 'mathbbrd', 'let', 'alpha_n_n', 'geq', '1', 'be', 'a', 'sequence', 'of', 'asymptotically', 'lrp', 'optimal', 'quantizers', 'for', 'all', 'mu', 'in', 'mathbbrd', 'and', 'for', 'every', 'theta', '0', 'one', 'defines', 'the', 'sequence', 'alpha_ntheta', 'mu_n', 'geq', '1', 'by', 'forall', 'n', 'geq', '1', 'alpha_ntheta', 'mu', 'mu', 'thetaalpha_n', 'mu', 'mu', 'thetaa', 'mu', 'a', 'in', 'alpha_n', 'in', 'this', 'paper', 'we', 'are', 'interested', 'in', 'the', 'asymptotics', 'of', 'the', 'lsquantization', 'error', 'induced', 'by', 'the', 'sequence', 'alpha_ntheta', 'mu_n', 'geq', '1', 'we', 'show', 'that', 'for', 'a', 'wide', 'family', 'of', 'distributions', 'the', 'sequence', 'alpha_ntheta', 'mu_n', 'geq', '1', 'is', 'lsrateoptimal', 'for', 'the', 'gaussian', 'and', 'the', 'exponential', 'distributions', 'one', 'shows', 'how', 'to', 'choose', 'the', 'parameter', 'theta', 'such', 'that', 'alpha_ntheta', 'mu_n', 'geq', '1', 'satisfies', 'the', 'empirical', 'measure', 'theorem', 'and', 'probably', 'be', 'asymptotically', 'lsoptimal']]
|
[-0.15866026999886895, 0.17016825455500453, -0.04956196167613151, 0.06123051780359972, 0.05706587727715979, -0.19384151188748294, 0.048409179691797824, 0.3532652872381732, -0.2767095645340007, -0.20589092899052824, 0.049944960832840106, -0.33091697118199265, -0.07887255470840962, 0.13151777440827095, -0.06951642513168274, 0.01702438766274174, -0.013495694372619762, 0.1013825644746606, -0.015760454280515673, -0.21318102616923632, 0.3133619474247098, -0.08236705221724315, 0.14966687422291544, -0.022582164446472146, 0.09639419412209851, -0.007040892994855759, 0.046796358180964476, -0.07827946448271147, -0.29314508310151305, 0.028052671468954106, 0.22474575785492532, 0.16099248595581558, 0.30613125951533193, -0.22344653496445255, -0.13125770994782693, 0.271057312163051, 0.20025993097710926, -0.1126895684016044, 0.0029203301232659305, -0.24545769316342766, 0.24687774990853228, -0.09175457582106722, -0.15931392661066818, -0.0235275871532618, 0.16643836625592143, 0.05903433626670329, -0.46239265704863386, 0.05621766614284916, 0.14058331376300423, 0.030506660562527717, -0.0010335641878763916, -0.24591504156467367, 0.010996549161242658, 0.0852386310360715, 0.01245281360394581, 0.17576908870489474, 0.046506911466092815, -0.03125674006353575, -0.06758286361200888, 0.31350810096940773, -0.11493307574972754, -0.2783559742001969, 0.04236714390381316, -0.2581871530865548, -0.19157480905366847, 0.09555539639941493, 0.09893890810733447, 0.19348253883787844, -0.0564834403244351, 0.2079462419616127, -0.030256769787825523, 0.1666446896727945, 0.11234065627232652, -0.013368223847241187, 0.12823837778729494, 0.09233023588007438, 0.12379957728095536, 0.0716574856625931, -0.09070166429985681, 0.018134203443654857, -0.3668882720034997, -0.1536270334370068, -0.24410312521542407, 0.21525839573444158, -0.19018530991984262, -0.06803315879059497, 0.2598313524647326, 0.08866311437984714, 0.22189734634928038, 0.18624014827254853, 0.15947618146930806, 0.11477022675785893, -0.07953543099002211, 0.09610917999285806, 0.028130544057558673, 0.11915286697760286, -0.01295468894398359, -0.15225727758446678, 0.03327435055427009, 0.045434355949524975]
|
707.1809
|
The Overconvergent Site II. Cohomology
|
We prove that rigid cohomology can be computed as the cohomology of a site
analogous to the crystalline site. Berthelot designed rigid cohomology as a
common generalization of crystalline and Monsky-Washnitzer cohomology.
Unfortunately, unlike the former, the functoriality of the theory is not
built-in. We defined somewhere else the "overconvergent site" which is
functorially attached to an algebraic variety and proved that the category of
modules of finite presentation on this ringed site is equivalent to the
category of over- convergent isocrystals on the variety. We show here that
their cohomology also coincides.
|
math.AG
|
we prove that rigid cohomology can be computed as the cohomology of a site analogous to the crystalline site berthelot designed rigid cohomology as a common generalization of crystalline and monskywashnitzer cohomology unfortunately unlike the former the functoriality of the theory is not builtin we defined somewhere else the overconvergent site which is functorially attached to an algebraic variety and proved that the category of modules of finite presentation on this ringed site is equivalent to the category of over convergent isocrystals on the variety we show here that their cohomology also coincides
|
[['we', 'prove', 'that', 'rigid', 'cohomology', 'can', 'be', 'computed', 'as', 'the', 'cohomology', 'of', 'a', 'site', 'analogous', 'to', 'the', 'crystalline', 'site', 'berthelot', 'designed', 'rigid', 'cohomology', 'as', 'a', 'common', 'generalization', 'of', 'crystalline', 'and', 'monskywashnitzer', 'cohomology', 'unfortunately', 'unlike', 'the', 'former', 'the', 'functoriality', 'of', 'the', 'theory', 'is', 'not', 'builtin', 'we', 'defined', 'somewhere', 'else', 'the', 'overconvergent', 'site', 'which', 'is', 'functorially', 'attached', 'to', 'an', 'algebraic', 'variety', 'and', 'proved', 'that', 'the', 'category', 'of', 'modules', 'of', 'finite', 'presentation', 'on', 'this', 'ringed', 'site', 'is', 'equivalent', 'to', 'the', 'category', 'of', 'over', 'convergent', 'isocrystals', 'on', 'the', 'variety', 'we', 'show', 'here', 'that', 'their', 'cohomology', 'also', 'coincides']]
|
[-0.17509439684480668, 0.03367104516154961, -0.13303732367292528, 0.08465165026255593, -0.09550005429854957, -0.1330619473711297, -0.013189733589521198, 0.36281481347176975, -0.40333207149899775, -0.18533335933061215, 0.1009319149438412, -0.17741481109612411, -0.13950206877122964, 0.19379586985795408, -0.20986712511168212, -0.08039392202451665, 0.040184938709341714, 0.1428583115689777, -0.0669366695432453, -0.2973577245388941, 0.4039575597621821, 0.014268337285787027, 0.28152247935894037, 0.045947066918816615, 0.11433452753830821, 0.005296409180167542, 0.02749096140045152, 0.00460603992424665, -0.14160767463603877, 0.14245444151350067, 0.33602586380576577, 0.014306388652673172, 0.16557465544000508, -0.396513742244532, -0.0696335946540198, 0.16605176851754228, 0.10325258401953565, 0.05267477129030252, -0.014610503447212039, -0.27301789146237154, 0.15618149718890587, -0.23222754004922125, -0.1334121906729315, -0.07432058707921095, 0.0389360077078304, 0.04395928583358244, -0.191163034694049, -0.053388156372019824, 0.07523002776427455, 0.144167857645962, -0.12326627733406201, -0.050171692954546585, -0.11681876169838092, 0.08892338202204755, -0.040002854708682305, 0.06905095170562466, 0.1671928669255908, -0.09115164656622676, -0.11140582184757918, 0.3964379955764099, -0.07289983427292236, -0.16290280671529872, 0.19340715291959945, -0.14847447029164723, -0.1743099357712493, 0.13047255253198967, 0.008350320651085787, 0.18435462752497325, 0.006165756453429499, 0.16880152651774746, -0.13526611808206765, 0.10364884472832644, 0.08676349055222286, -0.0002458224884204326, 0.15714508859861281, 0.08242425747135634, 0.06751336852371473, 0.11899685834018733, -0.02085153196227326, -0.08526744242877729, -0.34373237860704503, -0.24030923572499105, -0.15962451481841183, 0.13211281784144807, -0.04693323319686467, -0.22259040241460165, 0.389141184798572, 0.1023566505861699, 0.15033055223043887, 0.12932878063856473, 0.2261539109211455, 0.026178724330259105, 0.09648332784142626, -0.035257814907699185, 0.13869425950331554, 0.19590851780708118, -0.014608991939464324, -0.10546688130250581, 0.039992291657429346, 0.21595260943536476]
|
707.181
|
Measurement of the eta-Meson Mass using psi(2S) --> eta J/psi
|
We measure the mass of the eta meson using psi(2S) --> eta J/psi events
acquired with the CLEO-c detector operating at the CESR e+e- collider. Using
the four decay modes eta --> gamma gamma, 3pi0, pi+pi-pi0, and pi+pi-gamma, we
find M(eta)=547.785 +- 0.017 +- 0.057 MeV, in which the first uncertainty is
statistical and the second systematic. This result has an uncertainty
comparable to the two most precise previous measurements and is consistent with
that of NA48, but is inconsistent at the level of 6.5sigma with the much
smaller mass obtained by GEM.
|
hep-ex
|
we measure the mass of the eta meson using psi2s eta jpsi events acquired with the cleoc detector operating at the cesr ee collider using the four decay modes eta gamma gamma 3pi0 pipipi0 and pipigamma we find meta547785 0017 0057 mev in which the first uncertainty is statistical and the second systematic this result has an uncertainty comparable to the two most precise previous measurements and is consistent with that of na48 but is inconsistent at the level of 65sigma with the much smaller mass obtained by gem
|
[['we', 'measure', 'the', 'mass', 'of', 'the', 'eta', 'meson', 'using', 'psi2s', 'eta', 'jpsi', 'events', 'acquired', 'with', 'the', 'cleoc', 'detector', 'operating', 'at', 'the', 'cesr', 'ee', 'collider', 'using', 'the', 'four', 'decay', 'modes', 'eta', 'gamma', 'gamma', '3pi0', 'pipipi0', 'and', 'pipigamma', 'we', 'find', 'meta547785', '0017', '0057', 'mev', 'in', 'which', 'the', 'first', 'uncertainty', 'is', 'statistical', 'and', 'the', 'second', 'systematic', 'this', 'result', 'has', 'an', 'uncertainty', 'comparable', 'to', 'the', 'two', 'most', 'precise', 'previous', 'measurements', 'and', 'is', 'consistent', 'with', 'that', 'of', 'na48', 'but', 'is', 'inconsistent', 'at', 'the', 'level', 'of', '65sigma', 'with', 'the', 'much', 'smaller', 'mass', 'obtained', 'by', 'gem']]
|
[-0.05417371798169122, 0.18538208385358634, -0.1207738007651642, 0.07290648558145305, -0.00912279016186155, -0.11438963071189144, 0.05832108118656007, 0.29869358491851017, -0.17280060185294133, -0.2850635316519236, -0.0078045087377011605, -0.4103867309167981, 0.0695022694919978, 0.22065459247096442, 0.04353653735862198, 0.14415923020913562, 0.12896202388219535, 0.062097808441401205, -0.06763927473168058, -0.1517577062636106, 0.27483085459309886, 0.12916509866375814, 0.2104873553722758, 0.05983228977261619, 0.04050604000010274, -0.012138398829847574, -0.05804893222044815, -0.06576529943214898, -0.18652713793339484, 0.05921372303617483, 0.22811411588620764, 0.08249823244246231, 0.14881057351488958, -0.27869988448748534, -0.06220764031406196, 0.14027705264743418, 0.1128916605164043, -0.01183987894248937, 0.0017240499807733365, -0.34963367506861687, 0.14070396175057712, -0.20439516886306758, -0.04110902016029947, 0.0029377751793204384, 0.037549469799903985, -0.0910114705541425, -0.3265132933262397, 0.11620527305851945, -0.060201390556440776, 0.061905122552575034, -0.039693127322772685, -0.2532525425723923, 0.0017914293778382919, 0.00034580262780020183, 0.11723017838878812, 0.13769365174448467, 0.1596832175008868, -0.07104016917979937, -0.12122932479674504, 0.3639437596059658, -0.06685413290026852, -0.11455167226747355, 0.13683158863039518, -0.27904519184217363, -0.14533161879940468, 0.2112239285594445, 0.17493031642780724, 0.04293616850687117, -0.20788935477718373, 0.057875904533086046, 0.00783285154135559, 0.22798485368151555, 0.08479476110501723, 0.058681065624114126, 0.13617831501390107, 0.2248124837880658, -0.020385903877798806, 0.042009532620961014, -0.18365730345249176, 0.015358489340128885, -0.3696722079925662, -0.11843693124088035, -0.08766109682222702, 0.07261845273685387, -0.06562313170715325, -0.018281206784939222, 0.3342929862608964, 0.05392214671221816, 0.28832409801808273, 0.04123502632798839, 0.3223306906663559, 0.16404970113944728, 0.055237792347973234, 0.07479214569370511, 0.364122729298701, 0.1631727906139779, 0.12417963974770498, -0.28012077311690187, 0.04063435484104874, -0.03582828406731344]
|
707.1811
|
Caract\'erisation \'electromagn\'etique de milieux h\'et\'erog\`enes
naturels - Application \`a la mesure de l'humidit\'e du sol par radiom\'etrie
micro-onde
|
The work which we present takes place within the framework of mission SMOS of
the ESA which will consist to send a radiometer (1.4 GHz) in space. The goal of
the research which we propose is the improvement of the comprehension of the
effects of structure soil and litter. The effects of the litter and
heterogeneities of the ground are probably important but still are very
ignored. So we developed an experimental approach in laboratory and in situ.
That makes it possible to take measurements for various configurations
(frequency, temporal, polarization, incidence, Bi-statics, Brewster effect...)
and in term of surface conditions(homogeneous or heterogeneous ground, more or
less wet, presence of litter...). Measurements at the laboratory with waveguide
enabled us to characterize the various components of the geological structure
(ground, rocks) and to check the model of Dobson usually used.
|
physics.geo-ph
|
the work which we present takes place within the framework of mission smos of the esa which will consist to send a radiometer 14 ghz in space the goal of the research which we propose is the improvement of the comprehension of the effects of structure soil and litter the effects of the litter and heterogeneities of the ground are probably important but still are very ignored so we developed an experimental approach in laboratory and in situ that makes it possible to take measurements for various configurations frequency temporal polarization incidence bistatics brewster effect and in term of surface conditionshomogeneous or heterogeneous ground more or less wet presence of litter measurements at the laboratory with waveguide enabled us to characterize the various components of the geological structure ground rocks and to check the model of dobson usually used
|
[['the', 'work', 'which', 'we', 'present', 'takes', 'place', 'within', 'the', 'framework', 'of', 'mission', 'smos', 'of', 'the', 'esa', 'which', 'will', 'consist', 'to', 'send', 'a', 'radiometer', '14', 'ghz', 'in', 'space', 'the', 'goal', 'of', 'the', 'research', 'which', 'we', 'propose', 'is', 'the', 'improvement', 'of', 'the', 'comprehension', 'of', 'the', 'effects', 'of', 'structure', 'soil', 'and', 'litter', 'the', 'effects', 'of', 'the', 'litter', 'and', 'heterogeneities', 'of', 'the', 'ground', 'are', 'probably', 'important', 'but', 'still', 'are', 'very', 'ignored', 'so', 'we', 'developed', 'an', 'experimental', 'approach', 'in', 'laboratory', 'and', 'in', 'situ', 'that', 'makes', 'it', 'possible', 'to', 'take', 'measurements', 'for', 'various', 'configurations', 'frequency', 'temporal', 'polarization', 'incidence', 'bistatics', 'brewster', 'effect', 'and', 'in', 'term', 'of', 'surface', 'conditionshomogeneous', 'or', 'heterogeneous', 'ground', 'more', 'or', 'less', 'wet', 'presence', 'of', 'litter', 'measurements', 'at', 'the', 'laboratory', 'with', 'waveguide', 'enabled', 'us', 'to', 'characterize', 'the', 'various', 'components', 'of', 'the', 'geological', 'structure', 'ground', 'rocks', 'and', 'to', 'check', 'the', 'model', 'of', 'dobson', 'usually', 'used']]
|
[-0.09922789556337996, 0.13801700022697438, -0.07962931060728475, 0.016989704025195517, -0.07393119221784338, -0.06868610635440606, 0.037451421175777475, 0.37140337502869375, -0.2308450207542492, -0.34331554653000657, 0.11785366974199993, -0.2515029550893708, -0.1372161079665483, 0.18470265936398755, -0.023968339749836247, 0.05400117956625339, 0.04503109101732907, 4.931843846383756e-05, -0.02336379005888096, -0.22781164759606884, 0.2944121197797358, 0.11126951524396393, 0.2850270887265784, 0.06337086956635335, 0.1038443334910502, -0.02043611411154814, -0.04584472324277689, 0.014717228079501907, -0.10504835450633669, 0.12474451690485673, 0.26915620588935424, 0.1090144085609456, 0.2311752084812598, -0.48282521596028855, -0.22449144503495988, 0.08080655319045169, 0.06590675240481123, 0.10227421771167322, 0.021057715535271797, -0.28587988187579344, 0.054571928905941765, -0.16759353571713317, -0.11801757351461335, -0.04971654862624315, 0.007494173610895654, -0.03746417346648383, -0.25093254683297944, 0.03039182356072685, 0.043762211053951706, 0.08626532402351825, -0.11901415034577957, -0.11777699383546728, -0.012454319526067507, 0.18029053149282606, 0.03570746516649115, 0.003248831704190939, 0.12200149041974415, -0.10521896039713582, -0.03487156988053589, 0.4285906233661638, -0.0401575603066896, -0.1427793728823291, 0.2071664935299943, -0.1807857493115385, -0.12476978544145823, 0.11860037235760668, 0.2108583391582879, 0.09663016734639247, -0.15635542275832734, 0.013542493792967939, 0.009545896875325345, 0.18176655793888835, 0.07017738133138657, 0.045024894680963816, 0.21465495988101202, 0.20393615757815375, 0.05467409732870301, 0.138483854058287, -0.17302045549680717, -0.04129591844610557, -0.25680201110450457, -0.14790903946833453, -0.13785214564783405, 0.0002463344538951442, -0.01708022877180959, -0.1608506480272669, 0.3839255827003206, 0.18485502104689605, 0.157671022126927, -0.03097356644367296, 0.29525137975485655, 0.023832825986314973, 0.09247192753356522, 0.022571513720747272, 0.27582000295910303, 0.10931352567757024, 0.11279970992961559, -0.20157104561633912, 0.12176795600893071, -0.030845476421493576]
|
707.1812
|
A numerical study of heat island flows in an open domain: Stationary
solutions
|
We present two dimensional numerical simulations of a natural convection
problem in an unbounded domain. A thermal stratification is applied in the
vertical direction and the flow circulation is induced by a heat island located
on the ground. For this problem, thermal perturbations are convected in the
horizontal direction far from the heated element so that very elongated
computational domains have to be used in order to compute accurate numerical
solutions. To avoid this difficulty thermal sponge layers are added at the
vertical boundaries. With this approach, stationary solutions at $Ra\le 10^5$
are investigated. Boussinesq equations are discretized with a second-order
finite volume scheme on a staggered grid combined with a second-order
projection method for the time integration.
|
math.NA cs.NA physics.class-ph
|
we present two dimensional numerical simulations of a natural convection problem in an unbounded domain a thermal stratification is applied in the vertical direction and the flow circulation is induced by a heat island located on the ground for this problem thermal perturbations are convected in the horizontal direction far from the heated element so that very elongated computational domains have to be used in order to compute accurate numerical solutions to avoid this difficulty thermal sponge layers are added at the vertical boundaries with this approach stationary solutions at rale 105 are investigated boussinesq equations are discretized with a secondorder finite volume scheme on a staggered grid combined with a secondorder projection method for the time integration
|
[['we', 'present', 'two', 'dimensional', 'numerical', 'simulations', 'of', 'a', 'natural', 'convection', 'problem', 'in', 'an', 'unbounded', 'domain', 'a', 'thermal', 'stratification', 'is', 'applied', 'in', 'the', 'vertical', 'direction', 'and', 'the', 'flow', 'circulation', 'is', 'induced', 'by', 'a', 'heat', 'island', 'located', 'on', 'the', 'ground', 'for', 'this', 'problem', 'thermal', 'perturbations', 'are', 'convected', 'in', 'the', 'horizontal', 'direction', 'far', 'from', 'the', 'heated', 'element', 'so', 'that', 'very', 'elongated', 'computational', 'domains', 'have', 'to', 'be', 'used', 'in', 'order', 'to', 'compute', 'accurate', 'numerical', 'solutions', 'to', 'avoid', 'this', 'difficulty', 'thermal', 'sponge', 'layers', 'are', 'added', 'at', 'the', 'vertical', 'boundaries', 'with', 'this', 'approach', 'stationary', 'solutions', 'at', 'rale', '105', 'are', 'investigated', 'boussinesq', 'equations', 'are', 'discretized', 'with', 'a', 'secondorder', 'finite', 'volume', 'scheme', 'on', 'a', 'staggered', 'grid', 'combined', 'with', 'a', 'secondorder', 'projection', 'method', 'for', 'the', 'time', 'integration']]
|
[-0.1288275403750694, 0.13326483209227893, -0.06141461310589798, 0.030707923455649398, -0.061227764982061506, -0.07316854611262043, 0.0072030871290649865, 0.39202400573935264, -0.3082528470251232, -0.2534229165563981, 0.1471193119740257, -0.27241081935472977, -0.060724707431772836, 0.19258835041969138, -0.041703107870287366, 0.0637794624413085, 0.08751568504316637, -0.011029680124205401, -0.04464885317640872, -0.19867159448898372, 0.2962244543959347, 0.0006902149806802089, 0.27526870750400245, 0.021869298309469834, 0.10744634558820826, -0.12970722410589075, -0.001352288026927819, 0.09742883051363513, -0.14066015514098634, 0.08611274655096424, 0.23285060627104887, -0.028285359520003453, 0.2784514321356566, -0.49451062347517055, -0.24943161591823793, 0.04431270858726631, 0.14568241919653538, 0.13946355735230395, -0.06078081950644811, -0.23369886258091682, 0.1004919278411529, -0.11723237654838997, -0.16718123551919803, -0.050679094890435025, -0.026500405819338355, -0.002247412458189532, -0.27723561154885423, 0.08984185322625642, 0.029585468359928355, 0.08403944360832565, -0.06750517683979283, -0.09529755803812136, -0.0391134764903631, 0.08554399140183137, 0.026844460152002037, 0.04031517419916315, 0.09660417052547042, -0.0848744206126649, -0.042505946217311755, 0.3879502898034377, -0.0893857595948582, -0.30406386780146605, 0.18815649341608787, -0.11753196312655878, -0.06741580232762946, 0.18878258428432876, 0.18437426079574049, 0.1602497810864041, -0.11583734783901173, 0.06415046082011575, -0.028307694806438737, 0.1365294468203066, 0.09683667924891934, -0.08268985916804682, 0.20662817819855916, 0.1811087056954638, 0.13250642325370932, 0.15121423670649928, -0.10996983713335079, -0.1282587784430028, -0.26740715503055823, -0.11572127335376015, -0.1724787879980002, -0.001515791518613696, -0.08505460108482601, -0.2168549104577774, 0.35466276746328185, 0.15059652645091137, 0.14297709330263683, 0.017524425382128894, 0.3433184531700407, 0.15410120637975952, 0.041086050482769296, 0.12498546557592499, 0.21524484403049335, 0.1544043116657557, 0.17143841715067878, -0.2526324361629394, 0.022852714145635694, 0.12291404494466499]
|
707.1813
|
Caracterisation Electromagnetique De Materiaux Geologiques En Vue Du
Suivi De L'Humidite Des Sols Par Radiometrie Micro-Ondes
|
The work which we present takes place within the framework of mission SMOS of
the ESA which will consist to send a radiometer (1.4 GHz) in space. The goal of
the research which we propose is the improvement of the comprehension of the
effects of structures composed of soil and litter. The effects of the litter
and heterogeneities of the ground are probably important but still ignored. The
objective of this work was to study the dielectric properties of a type of
litter and ground in order to integrate these values into an analytical multi
layers model of soil. The objective is to characterize the effects of this
layer on the total multi layer system. This will make possible to lead to a
simple analytical formulation of a model of litter which can be integrated into
the calculation algorithm of SMOS in order to collect information on moisture
starting from measurements of emissivity
|
physics.geo-ph
|
the work which we present takes place within the framework of mission smos of the esa which will consist to send a radiometer 14 ghz in space the goal of the research which we propose is the improvement of the comprehension of the effects of structures composed of soil and litter the effects of the litter and heterogeneities of the ground are probably important but still ignored the objective of this work was to study the dielectric properties of a type of litter and ground in order to integrate these values into an analytical multi layers model of soil the objective is to characterize the effects of this layer on the total multi layer system this will make possible to lead to a simple analytical formulation of a model of litter which can be integrated into the calculation algorithm of smos in order to collect information on moisture starting from measurements of emissivity
|
[['the', 'work', 'which', 'we', 'present', 'takes', 'place', 'within', 'the', 'framework', 'of', 'mission', 'smos', 'of', 'the', 'esa', 'which', 'will', 'consist', 'to', 'send', 'a', 'radiometer', '14', 'ghz', 'in', 'space', 'the', 'goal', 'of', 'the', 'research', 'which', 'we', 'propose', 'is', 'the', 'improvement', 'of', 'the', 'comprehension', 'of', 'the', 'effects', 'of', 'structures', 'composed', 'of', 'soil', 'and', 'litter', 'the', 'effects', 'of', 'the', 'litter', 'and', 'heterogeneities', 'of', 'the', 'ground', 'are', 'probably', 'important', 'but', 'still', 'ignored', 'the', 'objective', 'of', 'this', 'work', 'was', 'to', 'study', 'the', 'dielectric', 'properties', 'of', 'a', 'type', 'of', 'litter', 'and', 'ground', 'in', 'order', 'to', 'integrate', 'these', 'values', 'into', 'an', 'analytical', 'multi', 'layers', 'model', 'of', 'soil', 'the', 'objective', 'is', 'to', 'characterize', 'the', 'effects', 'of', 'this', 'layer', 'on', 'the', 'total', 'multi', 'layer', 'system', 'this', 'will', 'make', 'possible', 'to', 'lead', 'to', 'a', 'simple', 'analytical', 'formulation', 'of', 'a', 'model', 'of', 'litter', 'which', 'can', 'be', 'integrated', 'into', 'the', 'calculation', 'algorithm', 'of', 'smos', 'in', 'order', 'to', 'collect', 'information', 'on', 'moisture', 'starting', 'from', 'measurements', 'of', 'emissivity']]
|
[-0.07898154931928159, 0.08766919365725283, -0.08883098379580998, -0.00394040829535525, -0.0605836476448899, -0.0461598362140601, 0.0496232949054246, 0.34382931262352107, -0.24407764336130783, -0.34198648896482253, 0.1175397694501965, -0.2676465370314914, -0.1336282506323377, 0.1573982757023152, -0.046285611992774936, 0.03119017719528927, 0.03505237251398415, 0.031021230791701503, -0.03775932187301235, -0.24670144052129067, 0.3104486639179241, 0.08470157138224131, 0.2529080350475471, 0.06294684735997245, 0.11232038313869898, -0.03682984370476523, -0.03985553694085455, 0.02414017420446993, -0.12595403183470755, 0.1705361261505031, 0.24745488571599614, 0.11096646651942162, 0.2688508825072276, -0.46430308128299275, -0.2326661837195941, 0.0630829455178791, 0.0829703529522103, 0.09415141785566032, 0.03946911281102574, -0.26368570828116406, 0.07049131970639566, -0.1554313446682333, -0.1076588957552232, -0.03294605848811615, -0.018354452832973277, -0.012985508187424416, -0.2790233028650868, 0.01699348734509127, 0.049917001243729414, 0.033296083226446914, -0.12403567657148575, -0.11745129083663688, -0.016938996559094175, 0.18648484224161388, 0.03329547583064661, 0.014214046713378694, 0.12526005824565206, -0.11313651870400493, -0.03768725761096754, 0.4115655272620809, -0.050532677124126575, -0.15594483458808336, 0.15772532931570074, -0.11595103864138033, -0.11993796251154219, 0.13498659347628358, 0.2630888840253617, 0.08910718499652408, -0.19318707686319364, 0.01809528439489857, -0.018050410176073416, 0.208459326729568, 0.02109038046853361, 0.029987988518733605, 0.2156370134074606, 0.22772629770870303, 0.04573883423490413, 0.1831908242592856, -0.12873768535887006, -0.06580794637975605, -0.288081477706631, -0.18849774019707458, -0.14436433143804178, 0.026105695155683565, -0.025307861001255885, -0.18406038078802084, 0.42217345870239964, 0.20103703603282377, 0.17964984755658733, 0.0024726673278933258, 0.3087490731911137, 0.06873837186653606, 0.10071019191611437, 0.018423282098499874, 0.2676280298897254, 0.10910925694004772, 0.11150119209729038, -0.19175941515500883, 0.10016900725248787, 0.02688697986213454]
|
707.1814
|
Interference of multi-mode photon echoes generated in spatially
separated solid-state atomic ensembles
|
High-visibility interference of photon echoes generated in spatially
separated solid-state atomic ensembles is demonstrated. The solid state
ensembles were LiNbO$_3$ waveguides doped with Erbium ions absorbing at 1.53
$\mu$m. Bright coherent states of light in several temporal modes (up to 3) are
stored and retrieved from the optical memories using two-pulse photon echoes.
The stored and retrieved optical pulses, when combined at a beam splitter, show
almost perfect interference, which demonstrates both phase preserving storage
and indistinguishability of photon echoes from separate optical memories. By
measuring interference fringes for different storage times, we also show
explicitly that the visibility is not limited by atomic decoherence. These
results are relevant for novel quantum repeaters architectures with photon echo
based multimode quantum memories.
|
quant-ph
|
highvisibility interference of photon echoes generated in spatially separated solidstate atomic ensembles is demonstrated the solid state ensembles were linbo_3 waveguides doped with erbium ions absorbing at 153 mum bright coherent states of light in several temporal modes up to 3 are stored and retrieved from the optical memories using twopulse photon echoes the stored and retrieved optical pulses when combined at a beam splitter show almost perfect interference which demonstrates both phase preserving storage and indistinguishability of photon echoes from separate optical memories by measuring interference fringes for different storage times we also show explicitly that the visibility is not limited by atomic decoherence these results are relevant for novel quantum repeaters architectures with photon echo based multimode quantum memories
|
[['highvisibility', 'interference', 'of', 'photon', 'echoes', 'generated', 'in', 'spatially', 'separated', 'solidstate', 'atomic', 'ensembles', 'is', 'demonstrated', 'the', 'solid', 'state', 'ensembles', 'were', 'linbo_3', 'waveguides', 'doped', 'with', 'erbium', 'ions', 'absorbing', 'at', '153', 'mum', 'bright', 'coherent', 'states', 'of', 'light', 'in', 'several', 'temporal', 'modes', 'up', 'to', '3', 'are', 'stored', 'and', 'retrieved', 'from', 'the', 'optical', 'memories', 'using', 'twopulse', 'photon', 'echoes', 'the', 'stored', 'and', 'retrieved', 'optical', 'pulses', 'when', 'combined', 'at', 'a', 'beam', 'splitter', 'show', 'almost', 'perfect', 'interference', 'which', 'demonstrates', 'both', 'phase', 'preserving', 'storage', 'and', 'indistinguishability', 'of', 'photon', 'echoes', 'from', 'separate', 'optical', 'memories', 'by', 'measuring', 'interference', 'fringes', 'for', 'different', 'storage', 'times', 'we', 'also', 'show', 'explicitly', 'that', 'the', 'visibility', 'is', 'not', 'limited', 'by', 'atomic', 'decoherence', 'these', 'results', 'are', 'relevant', 'for', 'novel', 'quantum', 'repeaters', 'architectures', 'with', 'photon', 'echo', 'based', 'multimode', 'quantum', 'memories']]
|
[-0.12797507691805152, 0.29960502789948473, -0.03843918523543383, 0.009590587211187836, 0.07486452002170657, -0.24129627868610104, 0.07002188337289474, 0.5165384301900371, -0.25033667344938626, -0.28649211791921253, 0.014978259834576367, -0.3392575849001565, -0.0337924811631164, 0.2305527174006378, -0.0162679720593016, 0.11894835672179653, 0.06052077013310353, -0.06272282635346671, -0.009442871311402395, -0.180605675070739, 0.23452609148807824, 0.04452685483592786, 0.3686573525952283, 0.013017520599051818, 0.12864421851825247, 0.027503380464382225, -0.0027039794420654125, -0.09923504758048957, -0.008888402043888442, 0.08486026203815926, 0.2754480408654694, 0.0490408438602549, 0.1578161954679642, -0.4804852086365654, -0.23305367831186938, 0.06429540323312895, 0.15399024320390145, 0.19716607211523282, -0.06364434395054709, -0.3662296195999404, -0.008965689819767949, -0.11076915537368906, -0.05072490395285374, -0.06789698275498861, -0.00550883026285605, 0.053597624552212966, -0.2204682926016221, 0.034638289119499885, 0.006777083613786631, 0.06092545424765053, 0.02264666933689482, -0.03155127645678018, 0.037593970473563255, 0.05721497093399502, -0.13952518735188713, -0.039641664326883666, 0.17645834242513264, -0.09602343505402365, -0.1820750800197105, 0.3399705056193446, -0.05548744106449741, -0.0586201156882092, 0.1209998997948171, -0.15809126738612808, -0.015420924543118305, 0.1992074809044846, 0.1127056696876491, 0.09369329037914469, -0.12230490884334252, -0.06373984003506894, 0.016696083324784335, 0.2843544643741748, 0.19135956341508498, 0.26950310586666887, 0.23801380642959155, 0.10662300108685659, -0.04198903156336674, 0.20428498664462924, -0.16285138380182676, -0.07574041073849379, -0.24721518542602167, -0.10559169576341702, -0.2534484439952807, 0.09195410456782119, -0.06428266423218018, -0.0742685354799648, 0.3464809088806106, 0.10974125295092375, 0.10584559485562577, -0.06266777677950257, 0.36150167147197937, 0.07810186486006214, 0.07192825152700351, 0.06759252099412655, 0.28952404616539146, 0.16629738502506522, 0.11362965451553464, -0.25577333734624763, -0.01889234499559422, -0.06917226574218194]
|
707.1815
|
Etude D'Un Modele D'Inversion Liant L'Emissivite a L'Humidite Des Sols.
Contribution a la Mise Au Point De L'Algorithme De la Mission Smos
|
The work which we present takes place within the framework of mission SMOS of
the ESA which will consist to send a radiometer (1.4 GHz) in space. The goal of
the research which we propose is the improvement of the comprehension of the
effects of structure soil and litter. The effects of the litter and
heterogeneities of the ground are probably important but still ignored. Its
effect can be corrected via a simple radiative model. It is thus necessary to
set up an analytical model which would make it possible to correct the effect
of this additional layer. The objective of this article is to present the
analytical models which we retained to correct the effect of the vegetation and
the litter in order to know the emissivity of the bare soil. We developed a
numerical model (with software HFSS) of calculation of the emissivity of
multi-layer systems in order to validate the results of the forward inversion
models. Ranges of permittivity are introduced with the model in order to take
account of the disturbances related to measurement and the variation of the
water content of the layers.
|
physics.geo-ph
|
the work which we present takes place within the framework of mission smos of the esa which will consist to send a radiometer 14 ghz in space the goal of the research which we propose is the improvement of the comprehension of the effects of structure soil and litter the effects of the litter and heterogeneities of the ground are probably important but still ignored its effect can be corrected via a simple radiative model it is thus necessary to set up an analytical model which would make it possible to correct the effect of this additional layer the objective of this article is to present the analytical models which we retained to correct the effect of the vegetation and the litter in order to know the emissivity of the bare soil we developed a numerical model with software hfss of calculation of the emissivity of multilayer systems in order to validate the results of the forward inversion models ranges of permittivity are introduced with the model in order to take account of the disturbances related to measurement and the variation of the water content of the layers
|
[['the', 'work', 'which', 'we', 'present', 'takes', 'place', 'within', 'the', 'framework', 'of', 'mission', 'smos', 'of', 'the', 'esa', 'which', 'will', 'consist', 'to', 'send', 'a', 'radiometer', '14', 'ghz', 'in', 'space', 'the', 'goal', 'of', 'the', 'research', 'which', 'we', 'propose', 'is', 'the', 'improvement', 'of', 'the', 'comprehension', 'of', 'the', 'effects', 'of', 'structure', 'soil', 'and', 'litter', 'the', 'effects', 'of', 'the', 'litter', 'and', 'heterogeneities', 'of', 'the', 'ground', 'are', 'probably', 'important', 'but', 'still', 'ignored', 'its', 'effect', 'can', 'be', 'corrected', 'via', 'a', 'simple', 'radiative', 'model', 'it', 'is', 'thus', 'necessary', 'to', 'set', 'up', 'an', 'analytical', 'model', 'which', 'would', 'make', 'it', 'possible', 'to', 'correct', 'the', 'effect', 'of', 'this', 'additional', 'layer', 'the', 'objective', 'of', 'this', 'article', 'is', 'to', 'present', 'the', 'analytical', 'models', 'which', 'we', 'retained', 'to', 'correct', 'the', 'effect', 'of', 'the', 'vegetation', 'and', 'the', 'litter', 'in', 'order', 'to', 'know', 'the', 'emissivity', 'of', 'the', 'bare', 'soil', 'we', 'developed', 'a', 'numerical', 'model', 'with', 'software', 'hfss', 'of', 'calculation', 'of', 'the', 'emissivity', 'of', 'multilayer', 'systems', 'in', 'order', 'to', 'validate', 'the', 'results', 'of', 'the', 'forward', 'inversion', 'models', 'ranges', 'of', 'permittivity', 'are', 'introduced', 'with', 'the', 'model', 'in', 'order', 'to', 'take', 'account', 'of', 'the', 'disturbances', 'related', 'to', 'measurement', 'and', 'the', 'variation', 'of', 'the', 'water', 'content', 'of', 'the', 'layers']]
|
[-0.0763773854928428, 0.08999794842546838, -0.07889062429882308, 0.03181849956881513, -0.06737133468739054, -0.05031719702751713, 0.051380020939061376, 0.34682574590786974, -0.2442154784543202, -0.35102256745139654, 0.10825134954970092, -0.2556049559461052, -0.13849146783716007, 0.14203284926306298, -0.03850501773883886, 0.05847117987658303, 0.02282449362076264, 0.01852351245024499, -0.030998118521776943, -0.25162465457849087, 0.30543345529487, 0.11544941251285057, 0.2456967241014354, 0.08766534207825316, 0.09793959877966467, -0.0492523427002449, -0.0450153646574534, 0.01551823466201932, -0.12586374260841848, 0.143837445781212, 0.22809442979002037, 0.09532264180659772, 0.2493335360406026, -0.45553797565678017, -0.23764138962383669, 0.07793462695306207, 0.08370085232928297, 0.11838466375806131, 0.01582604445556694, -0.26722021245377814, 0.07606065069124637, -0.18162302579715267, -0.12114850939945021, -0.04499948442854146, -0.004931233382407338, -0.022314917368001917, -0.27854936244244877, 0.03647537344690174, 0.0736838610176532, 0.024071055911530918, -0.09784026452751354, -0.11050047006884074, -0.03197735470615605, 0.19139489152548003, 0.06528287010262424, 0.0073793182778667575, 0.11329477580209718, -0.11882659899160028, -0.0330042043834568, 0.4315800761600877, -0.06270843805395998, -0.1695117905780554, 0.16116389483207233, -0.14252687331804254, -0.10010704849945738, 0.1296870091414832, 0.21321878386562335, 0.08688552394766916, -0.16555231922099298, 0.03057712783784348, -0.011829719401306492, 0.19720781075599741, 0.009652396525315781, 0.003957732701971335, 0.19544604771394045, 0.19648588117350765, 0.025354345552028812, 0.16192466847937892, -0.13324983015302272, -0.05995479512351634, -0.3021531096471355, -0.16641411328430664, -0.1292959611102483, 0.00103779808628036, -0.0488504909518908, -0.17595429332094623, 0.42364838410000455, 0.2269767782269442, 0.16846119230266343, 0.015820136582949496, 0.31671623043602015, 0.10582033578658469, 0.10261216361640378, 0.029469354331438886, 0.27180704567581415, 0.11933656162929107, 0.09932164589941324, -0.218355012884205, 0.1100705979154148, 0.012601942122428421]
|
707.1816
|
Open FRW model in Loop Quantum Cosmology
|
Open FRW model in Loop Quantum Cosmology is under consideration. The left and
right invariant vector fields and holonomies along them are studied. It is
shown that in the hyperbolic geometry of $k=-1$ it is possible to construct a
suitable loop which provides us with quantum scalar constraint originally
introduced by Vandersloot. The quantum scalar constraint operator with negative
cosmological constant is proved to be essentially self-adjoint.
|
gr-qc
|
open frw model in loop quantum cosmology is under consideration the left and right invariant vector fields and holonomies along them are studied it is shown that in the hyperbolic geometry of k1 it is possible to construct a suitable loop which provides us with quantum scalar constraint originally introduced by vandersloot the quantum scalar constraint operator with negative cosmological constant is proved to be essentially selfadjoint
|
[['open', 'frw', 'model', 'in', 'loop', 'quantum', 'cosmology', 'is', 'under', 'consideration', 'the', 'left', 'and', 'right', 'invariant', 'vector', 'fields', 'and', 'holonomies', 'along', 'them', 'are', 'studied', 'it', 'is', 'shown', 'that', 'in', 'the', 'hyperbolic', 'geometry', 'of', 'k1', 'it', 'is', 'possible', 'to', 'construct', 'a', 'suitable', 'loop', 'which', 'provides', 'us', 'with', 'quantum', 'scalar', 'constraint', 'originally', 'introduced', 'by', 'vandersloot', 'the', 'quantum', 'scalar', 'constraint', 'operator', 'with', 'negative', 'cosmological', 'constant', 'is', 'proved', 'to', 'be', 'essentially', 'selfadjoint']]
|
[-0.1712508249840925, 0.20078673038744566, -0.08492183741746527, 0.09160116882853661, -0.14986903141393806, -0.27695701609252754, -0.07616312048666066, 0.352794313295321, -0.2630217377886628, -0.24793580902571027, 0.08580626446090525, -0.23532740967515786, -0.12752731415358456, 0.17117070713235685, -0.054058138012998934, 0.10383679118063865, 0.00301619721435462, 0.1151531846685843, -0.020039090944037802, -0.29540074890423, 0.3642141026952727, 0.0700155260538767, 0.21322823119011114, 0.050015022846778404, 0.1525009248730247, -0.049119101548002975, -0.03783698978297638, 0.035172517926460416, -0.13890913134420055, 0.06386804666412486, 0.22192220883020622, 0.09281413745360845, 0.20728611921764573, -0.3600261897187341, -0.2336266529887463, 0.101515781402475, 0.08671610186469149, 0.08145194141384722, -0.02824571841108881, -0.32056832169605926, 0.11991211942707498, -0.10535841553020432, -0.14959908613342454, -0.07489413079438788, 0.024306832368231633, -0.13389670426929087, -0.2582509189731244, 0.05739970321795254, 0.04991987286396607, -0.02825492485003038, -0.035750673512335525, -0.04672083543669997, -0.0005673773756081408, 0.077854495573168, 0.06062265808489456, 0.07928105544256554, 0.09510887683736104, -0.05988488488858848, -0.09267330761279234, 0.39284940752567665, -0.0870565928546994, -0.2887033322176924, 0.07463379926753766, -0.13208876731523284, -0.10146851202642376, 0.04634853216791243, 0.042369236294744594, 0.09607443921832425, -0.174504892794754, 0.2686034886600365, -0.033077714421475925, 0.0907297614365675, 0.10287057761469799, 0.014055979924953797, 0.21914915526003548, 0.023351691539794432, 0.13155825680234667, 0.1425128374583878, 0.03829591244654942, -0.21669738241700653, -0.33992866644014913, -0.17639228927366662, -0.11773766555371835, 0.12055321879156647, -0.08884612463060132, -0.21281797592801563, 0.3571048171231241, 0.08968259443557172, 0.17279281791045584, 0.010706705677986258, 0.25752794414151914, 0.1521274393299157, 0.07819388177118856, 0.10505807258640275, 0.21820769271333562, 0.23704326590064517, 0.06514037608267796, -0.19648624457080255, -0.051722398585160125, 0.09371705004719622]
|
707.1817
|
HEIDI and the unparticle
|
We compare the HEIDI models with the unparticle models. We show that the
unparticle models are a limiting case of the HEIDI models. We discuss
consistency conditions.
|
hep-ph
|
we compare the heidi models with the unparticle models we show that the unparticle models are a limiting case of the heidi models we discuss consistency conditions
|
[['we', 'compare', 'the', 'heidi', 'models', 'with', 'the', 'unparticle', 'models', 'we', 'show', 'that', 'the', 'unparticle', 'models', 'are', 'a', 'limiting', 'case', 'of', 'the', 'heidi', 'models', 'we', 'discuss', 'consistency', 'conditions']]
|
[-0.07238968723901996, 0.09169803777088721, -0.09205986980210852, 0.2241835220268479, -0.03299157748309275, -0.15007265689955265, -0.02363300585636386, 0.4201217845634178, -0.1738022661043538, -0.2378120382350904, 0.08674021860308669, -0.2779747618500281, -0.2115990905850022, 0.17090189456939697, 0.004927829218407472, 0.04769363202568558, 0.09374409538038352, 0.019377663731575012, -0.09918536362238228, -0.2635546634318652, 0.37043783261820123, 0.03766233411928018, 0.24814877107187552, 0.031119798689528747, 0.08869424672728335, -0.0908291067376181, -0.030208287967575922, -0.025698008981567842, -0.20616592997302413, 0.08806479894728572, 0.09954937563667988, 0.1559863990103757, 0.1473187931847793, -0.3682724565819458, -0.27618772708983336, 0.2028129441594636, 0.07325443337430004, 0.14251060307853752, 0.01826346555241832, -0.28363044855736746, 0.06601584913140093, -0.22370767013894188, -0.10214141173357213, -0.10324262679313068, -0.08741294461543914, 0.014494567074709468, -0.319541432549832, 0.054178409899274506, 0.034848644225685683, -0.009119126842253737, -0.1386301770840806, -0.1286872066212473, -0.03293709671642217, 0.07352431430653841, 0.12723751097089714, -0.11960796435812006, 0.0855860193260014, -0.269829287952571, -0.1778044219094294, 0.36699317602647674, -0.16746083515937682, -0.24316877713082014, 0.2787720462548788, -0.13478503024412525, -0.20913863376955744, -0.058956550917139756, 0.19408831124504408, 0.07633261699919347, -0.1464649510604364, 0.22642686942385304, -0.07771365279849204, 0.11717038608535572, -0.017334335017949343, 0.005598343236164914, 0.19757420555860908, 0.21801506576162796, -0.04725708503759018, 0.19407110813039322, -0.10352246076972396, -0.03212515592437099, -0.3796860799193382, -0.11205081334682526, -0.06488913352842685, -0.007180050705318098, -0.14747311964769055, -0.07330810485614671, 0.41167597100138664, 0.32679562246495925, 0.23920891765091154, 0.1178160265295042, 0.25919556507357844, 0.17534687921956735, 0.07628182459329427, 0.09468470168886362, 0.2750094717851392, 0.07799811606053952, 0.06816987120718868, -0.16328816046869313, 0.019778494257479906, 0.03175223508366832]
|
707.1818
|
Large continuum, oracles
|
Our main theorem is about iterated forcing for making the continuum larger
than aleph_2. We present a generalization of math.LO/0303294 which is dealing
with oracles for random, etc., replacing aleph_1, aleph_2 by lambda,lambda^+
(starting with lambda=lambda^{<lambda}>aleph_1). Well, instead of properness we
demand absolute c.c.c. So we get, e.g. the continuum is lambda^+ but we can get
cov(meagre)=lambda. We give some applications. As in math.LO/0303294, it is a
"partial" countable support iteration but it is c.c.c.
|
math.LO
|
our main theorem is about iterated forcing for making the continuum larger than aleph_2 we present a generalization of mathlo0303294 which is dealing with oracles for random etc replacing aleph_1 aleph_2 by lambdalambda starting with lambdalambdalambdaaleph_1 well instead of properness we demand absolute ccc so we get eg the continuum is lambda but we can get covmeagrelambda we give some applications as in mathlo0303294 it is a partial countable support iteration but it is ccc
|
[['our', 'main', 'theorem', 'is', 'about', 'iterated', 'forcing', 'for', 'making', 'the', 'continuum', 'larger', 'than', 'aleph_2', 'we', 'present', 'a', 'generalization', 'of', 'mathlo0303294', 'which', 'is', 'dealing', 'with', 'oracles', 'for', 'random', 'etc', 'replacing', 'aleph_1', 'aleph_2', 'by', 'lambdalambda', 'starting', 'with', 'lambdalambdalambdaaleph_1', 'well', 'instead', 'of', 'properness', 'we', 'demand', 'absolute', 'ccc', 'so', 'we', 'get', 'eg', 'the', 'continuum', 'is', 'lambda', 'but', 'we', 'can', 'get', 'covmeagrelambda', 'we', 'give', 'some', 'applications', 'as', 'in', 'mathlo0303294', 'it', 'is', 'a', 'partial', 'countable', 'support', 'iteration', 'but', 'it', 'is', 'ccc']]
|
[-0.09872087179748736, 0.11288260082176453, -0.09005232793475751, 0.11577310661201588, -0.13175988627571456, -0.17349666599381033, 0.05930369597544868, 0.4007083406855523, -0.2526205456881246, -0.2207664510523769, 0.14331034464518946, -0.29444782157808963, -0.09339912012744118, 0.16822220387124182, -0.1336029307051024, 0.01048294588608641, 0.044682413708536664, 0.06989767372240903, 0.00098548346841839, -0.2334982817336707, 0.34234586889973617, 0.007168686773273832, 0.13608945212261359, 0.07083165115663703, 0.08200613598168736, 0.002987432857634316, -0.03977387953339748, 0.06537718651160387, -0.12095531722215909, 0.11185981262504766, 0.25327054328206455, 0.18287365332665578, 0.3231062426323622, -0.3565656488472727, -0.1977521449288117, 0.14344447354694279, 0.0952353007920516, 0.13675997691379835, 0.04346768777082923, -0.2504287649759314, 0.15959059564449207, -0.16833366109976466, -0.1500179614858623, -0.09808029604314918, 0.049272108855854035, 0.04278803982732581, -0.3078735394429573, 0.025620770811195105, 0.15158571748548305, 0.08100553442380543, -0.031049459641405815, -0.14635740490761442, -0.005567277637375912, 0.048120995137420755, 0.005276984694203965, 0.07529949250591683, 0.0823215016911567, -0.065882283354729, -0.07172850524993535, 0.41699759336844294, -0.06730520478257103, -0.1788457350569292, 0.19396601146100168, -0.11617638275001041, -0.16622923532317221, 0.08715856745576775, 0.02135703443839792, 0.08678049345920519, -0.048467340918493945, 0.11054705247991312, -0.11843866284471005, 0.19619658232574733, 0.12304339993049876, 0.07286458172586183, 0.10193208336148044, 0.17045162193162341, 0.1595764586203535, 0.1684914416318733, -0.0013677609976197422, -0.06608919500255249, -0.3276417484690606, -0.14378732509753653, -0.158872090699807, 0.129112174377029, -0.08404336333099398, -0.17673431210954424, 0.2656131861600238, 0.1708867889894566, 0.18440475442092602, 0.152433509041529, 0.27058841059850136, 0.15227246005743952, 0.061488633703204315, 0.09033292070241042, 0.1635106519671853, 0.12082845508120954, 0.03709523335204158, -0.06436010477342971, 0.07396934736310176, 0.1276249862603948]
|
707.1819
|
One-way quantum computation via manipulation of polarization and
momentum qubits in two-photon cluster states
|
Four-qubit cluster states of two photons entangled in polarization and linear
momentum have been used to realize a complete set of single qubit rotations and
the C-NOT gate for equatorial qubits with high values of fidelity. By the
computational equivalence of the two degrees of freedom our result demonstrate
the suitability of two photon cluster states for rapid and efficient one-way
quantum computing.
|
quant-ph
|
fourqubit cluster states of two photons entangled in polarization and linear momentum have been used to realize a complete set of single qubit rotations and the cnot gate for equatorial qubits with high values of fidelity by the computational equivalence of the two degrees of freedom our result demonstrate the suitability of two photon cluster states for rapid and efficient oneway quantum computing
|
[['fourqubit', 'cluster', 'states', 'of', 'two', 'photons', 'entangled', 'in', 'polarization', 'and', 'linear', 'momentum', 'have', 'been', 'used', 'to', 'realize', 'a', 'complete', 'set', 'of', 'single', 'qubit', 'rotations', 'and', 'the', 'cnot', 'gate', 'for', 'equatorial', 'qubits', 'with', 'high', 'values', 'of', 'fidelity', 'by', 'the', 'computational', 'equivalence', 'of', 'the', 'two', 'degrees', 'of', 'freedom', 'our', 'result', 'demonstrate', 'the', 'suitability', 'of', 'two', 'photon', 'cluster', 'states', 'for', 'rapid', 'and', 'efficient', 'oneway', 'quantum', 'computing']]
|
[-0.16717755770872508, 0.21776603939869102, -0.010703589264599104, -0.01245012059290376, 0.04907157758457793, -0.191864557505127, 0.09548142519114274, 0.397761988024863, -0.19633910802030374, -0.336833942533722, 0.018898149263039822, -0.23191454475154244, -0.011671746164442056, 0.24196651261595506, -0.011841037399357273, 0.16192738918632837, 0.08766353987748661, -0.028969437889163455, -0.07721845759818005, -0.27340739433254513, 0.2809407970321084, -0.0011239533981544868, 0.30583996287295745, 0.007404365576803684, 0.17807579360577086, 0.03175439751367011, 0.05989903176114673, -0.04918131429613346, -0.034505739704602294, 0.13463656756369072, 0.2731431450487839, 0.1269030923962534, 0.2134516679622706, -0.4296425807452391, -0.1474314522966447, 0.051013978793182306, 0.10871626971851266, 0.19670804853122387, -0.04512910776963783, -0.2918645503768136, -0.0023346392083026116, -0.21760555865272643, -0.12177377565216924, -0.13010409952599614, 0.0529111594789558, -0.03006341606969871, -0.23154092974783408, 0.07862541864493064, 0.043652346461183496, 0.06695345916327029, 0.04751331084925267, -0.050833974425340926, -0.03604533821196547, 0.11365008255141595, -0.1072850777279763, 0.01518123358902004, 0.1496149244540859, -0.11043842883026671, -0.24572629806777788, 0.31445849161329015, 0.0020040544489073374, -0.20012186285817907, 0.17196782931153262, -0.12647461182334357, -0.09870213251339183, 0.07590413485313692, 0.1406822453053402, 0.1081803325445406, -0.11089277238629404, 0.04134838749924379, 0.007392326473361916, 0.20260387747770264, 0.0833103574280228, 0.19388456995199835, 0.21248429483689724, 0.05508339381407178, 0.08943389201285465, 0.23654436920252112, -0.10536943488414326, -0.12530991830493485, -0.28530900830787326, -0.2297180359185274, -0.2421083321114854, 0.0821036433224522, -0.11028419058730213, -0.10597657388637936, 0.4643640784871957, 0.068122516157076, 0.15199596855405068, 0.013216614383198912, 0.3032790043997386, 0.08274626143905889, 0.07746661741227384, 0.08710376495525005, 0.2918690949205368, 0.22334096269194215, -0.01619263333342378, -0.2901824139915998, 0.0014507708524072926, -0.004344226903326455]
|
707.182
|
Understanding the Properties of the BitTorrent Overlay
|
In this paper, we conduct extensive simulations to understand the properties
of the overlay generated by BitTorrent. We start by analyzing how the overlay
properties impact the efficiency of BitTorrent. We focus on the average peer
set size (i.e., average number of neighbors), the time for a peer to reach its
maximum peer set size, and the diameter of the overlay. In particular, we show
that the later a peer arrives in a torrent, the longer it takes to reach its
maximum peer set size. Then, we evaluate the impact of the maximum peer set
size, the maximum number of outgoing connections per peer, and the number of
NATed peers on the overlay properties. We show that BitTorrent generates a
robust overlay, but that this overlay is not a random graph. In particular, the
connectivity of a peer to its neighbors depends on its arriving order in the
torrent. We also show that a large number of NATed peers significantly
compromise the robustness of the overlay to attacks. Finally, we evaluate the
impact of peer exchange on the overlay properties, and we show that it
generates a chain-like overlay with a large diameter, which will adversely
impact the efficiency of large torrents.
|
cs.NI
|
in this paper we conduct extensive simulations to understand the properties of the overlay generated by bittorrent we start by analyzing how the overlay properties impact the efficiency of bittorrent we focus on the average peer set size ie average number of neighbors the time for a peer to reach its maximum peer set size and the diameter of the overlay in particular we show that the later a peer arrives in a torrent the longer it takes to reach its maximum peer set size then we evaluate the impact of the maximum peer set size the maximum number of outgoing connections per peer and the number of nated peers on the overlay properties we show that bittorrent generates a robust overlay but that this overlay is not a random graph in particular the connectivity of a peer to its neighbors depends on its arriving order in the torrent we also show that a large number of nated peers significantly compromise the robustness of the overlay to attacks finally we evaluate the impact of peer exchange on the overlay properties and we show that it generates a chainlike overlay with a large diameter which will adversely impact the efficiency of large torrents
|
[['in', 'this', 'paper', 'we', 'conduct', 'extensive', 'simulations', 'to', 'understand', 'the', 'properties', 'of', 'the', 'overlay', 'generated', 'by', 'bittorrent', 'we', 'start', 'by', 'analyzing', 'how', 'the', 'overlay', 'properties', 'impact', 'the', 'efficiency', 'of', 'bittorrent', 'we', 'focus', 'on', 'the', 'average', 'peer', 'set', 'size', 'ie', 'average', 'number', 'of', 'neighbors', 'the', 'time', 'for', 'a', 'peer', 'to', 'reach', 'its', 'maximum', 'peer', 'set', 'size', 'and', 'the', 'diameter', 'of', 'the', 'overlay', 'in', 'particular', 'we', 'show', 'that', 'the', 'later', 'a', 'peer', 'arrives', 'in', 'a', 'torrent', 'the', 'longer', 'it', 'takes', 'to', 'reach', 'its', 'maximum', 'peer', 'set', 'size', 'then', 'we', 'evaluate', 'the', 'impact', 'of', 'the', 'maximum', 'peer', 'set', 'size', 'the', 'maximum', 'number', 'of', 'outgoing', 'connections', 'per', 'peer', 'and', 'the', 'number', 'of', 'nated', 'peers', 'on', 'the', 'overlay', 'properties', 'we', 'show', 'that', 'bittorrent', 'generates', 'a', 'robust', 'overlay', 'but', 'that', 'this', 'overlay', 'is', 'not', 'a', 'random', 'graph', 'in', 'particular', 'the', 'connectivity', 'of', 'a', 'peer', 'to', 'its', 'neighbors', 'depends', 'on', 'its', 'arriving', 'order', 'in', 'the', 'torrent', 'we', 'also', 'show', 'that', 'a', 'large', 'number', 'of', 'nated', 'peers', 'significantly', 'compromise', 'the', 'robustness', 'of', 'the', 'overlay', 'to', 'attacks', 'finally', 'we', 'evaluate', 'the', 'impact', 'of', 'peer', 'exchange', 'on', 'the', 'overlay', 'properties', 'and', 'we', 'show', 'that', 'it', 'generates', 'a', 'chainlike', 'overlay', 'with', 'a', 'large', 'diameter', 'which', 'will', 'adversely', 'impact', 'the', 'efficiency', 'of', 'large', 'torrents']]
|
[-0.18792183964056802, 0.08515694331709701, -0.04859724722913291, 0.007873688821593245, -0.10198722215078881, -0.0784774294081559, 0.17063191972758235, 0.3992695928537425, -0.2686755058498555, -0.3047601947339602, 0.060846664852319786, -0.3198772463394274, -0.15804634255986422, 0.1171171494049601, -0.06014611208776823, -0.001935185923351731, 0.09675688666088672, 0.11100370860900638, -0.006879810604617221, -0.34539165708197783, 0.3112645206677884, 0.1136860010251034, 0.30180797504611534, 0.10124483120642541, 0.08043647186351147, -0.0026437954730492564, -0.051645371555765665, 0.08849555603920085, -0.11818831228386147, 0.11989191648006292, 0.19392010615677527, 0.21546327474868238, 0.33432023075068057, -0.42403832281764486, -0.15329680314038577, 0.09713123789481302, 0.1069296956970587, 0.0797956793676799, -0.03730593350863472, -0.2599386533510198, 0.16614728012481833, -0.2501613790040264, -0.08567156978061026, 0.0007573495559062404, 0.022273320612488406, 0.08011064092780805, -0.23381656955346686, -0.030203564837032865, 0.016481570523730157, 0.02672650749417077, 0.013044233172255946, -0.08160891381926871, -0.03340580040072598, 0.1742291312329333, 0.023451564983363347, -0.03254509801828846, 0.1618151542324905, -0.1379120728630765, -0.1029092020926868, 0.3744704410857936, -0.016646557984041455, -0.17111280204562268, 0.17903496764397414, -0.09033779044737025, -0.1284349176359575, 0.07845710989290683, 0.26885960218358307, 0.06891523490055916, -0.11583078434543297, 0.02804754064608559, -0.06098967355314071, 0.2089408927292812, 0.04009560128157534, 0.043427385138532164, 0.12574387926350136, 0.2175837938217354, 0.13163440446323244, 0.14702356357754456, -0.07960071003912847, -0.06591505437425457, -0.24206040704180257, -0.13688691207530476, -0.19788849377073348, 0.04980539155342803, -0.14272174277404234, -0.17195413310062324, 0.4387336567662066, 0.2275935350802017, 0.20098562206667248, 0.09761238120908913, 0.31423545190672586, 0.01693549013430354, 0.06636954154496515, 0.14905705977240485, 0.2088247525072334, 0.014192602963712398, 0.10420000772591274, -0.2392367743103221, 0.1544570336648549, 0.019317091918679526]
|
707.1821
|
Emergence of scale-free behavior in networks from limited-horizon
linking and cost trade-offs
|
We study network growth from a fixed set of initially isolated nodes placed
at random on the surface of a sphere. The growth mechanism we use adds edges to
the network depending on strictly local gain and cost criteria. Only nodes that
are not too far apart on the sphere may be considered for being joined by an
edge. Given two such nodes, the joining occurs only if the gain of doing it
surpasses the cost. Our model is based on a multiplicative parameter lambda
that regulates, in a function of node degrees, the maximum geodesic distance
that is allowed between nodes for them to be considered for joining. For n
nodes distributed uniformly on the sphere, and for lambda*sqrt(n) within limits
that depend on cost-related parameters, we have found that our growth mechanism
gives rise to power-law distributions of node degree that are invariant for
constant lambda*sqrt(n). We also study connectivity- and distance-related
properties of the networks.
|
cond-mat.stat-mech
|
we study network growth from a fixed set of initially isolated nodes placed at random on the surface of a sphere the growth mechanism we use adds edges to the network depending on strictly local gain and cost criteria only nodes that are not too far apart on the sphere may be considered for being joined by an edge given two such nodes the joining occurs only if the gain of doing it surpasses the cost our model is based on a multiplicative parameter lambda that regulates in a function of node degrees the maximum geodesic distance that is allowed between nodes for them to be considered for joining for n nodes distributed uniformly on the sphere and for lambdasqrtn within limits that depend on costrelated parameters we have found that our growth mechanism gives rise to powerlaw distributions of node degree that are invariant for constant lambdasqrtn we also study connectivity and distancerelated properties of the networks
|
[['we', 'study', 'network', 'growth', 'from', 'a', 'fixed', 'set', 'of', 'initially', 'isolated', 'nodes', 'placed', 'at', 'random', 'on', 'the', 'surface', 'of', 'a', 'sphere', 'the', 'growth', 'mechanism', 'we', 'use', 'adds', 'edges', 'to', 'the', 'network', 'depending', 'on', 'strictly', 'local', 'gain', 'and', 'cost', 'criteria', 'only', 'nodes', 'that', 'are', 'not', 'too', 'far', 'apart', 'on', 'the', 'sphere', 'may', 'be', 'considered', 'for', 'being', 'joined', 'by', 'an', 'edge', 'given', 'two', 'such', 'nodes', 'the', 'joining', 'occurs', 'only', 'if', 'the', 'gain', 'of', 'doing', 'it', 'surpasses', 'the', 'cost', 'our', 'model', 'is', 'based', 'on', 'a', 'multiplicative', 'parameter', 'lambda', 'that', 'regulates', 'in', 'a', 'function', 'of', 'node', 'degrees', 'the', 'maximum', 'geodesic', 'distance', 'that', 'is', 'allowed', 'between', 'nodes', 'for', 'them', 'to', 'be', 'considered', 'for', 'joining', 'for', 'n', 'nodes', 'distributed', 'uniformly', 'on', 'the', 'sphere', 'and', 'for', 'lambdasqrtn', 'within', 'limits', 'that', 'depend', 'on', 'costrelated', 'parameters', 'we', 'have', 'found', 'that', 'our', 'growth', 'mechanism', 'gives', 'rise', 'to', 'powerlaw', 'distributions', 'of', 'node', 'degree', 'that', 'are', 'invariant', 'for', 'constant', 'lambdasqrtn', 'we', 'also', 'study', 'connectivity', 'and', 'distancerelated', 'properties', 'of', 'the', 'networks']]
|
[-0.16310178929677185, 0.12009298623898082, -0.057535373898318566, 0.00730477388536271, -0.08711525246214408, -0.16803584038876954, 0.11171317241865043, 0.38925328104792595, -0.25985385473363865, -0.273798118894681, 0.07782545065707289, -0.31333888325696957, -0.13521547336579084, 0.17588181927865848, -0.025495267323910806, -0.008813934537988061, 0.05013721945504539, 0.09769109666992265, -0.002370800549098744, -0.2622953690707875, 0.3546867808886768, 0.05302012951758046, 0.24817118381794828, 0.05359161272346496, 0.10814582086944331, 0.010291097825990083, 0.01567277988644305, 0.0621561974254198, -0.15544239561010423, 0.09003823227883401, 0.1687499781509336, 0.11948659190257342, 0.25207501924029574, -0.43416233078385585, -0.2061995486698997, 0.1391666320582422, 0.13573261867023598, 0.055545881223411135, -0.012253322704241443, -0.21237864751870242, 0.14106006828697923, -0.12363398856812124, -0.10741420413773412, -0.00836684442578982, 0.044417170443548225, 0.045676735674183316, -0.261126583462987, 0.03315549235076805, 0.048548324299283706, 0.017481062893355742, -0.01628149761698949, -0.10026945217918509, -0.07716932438928872, 0.1548099704982283, 0.014040105715722371, 0.02861257324604174, 0.14250581833319023, -0.10581144458130719, -0.08531440805213955, 0.3407022459119057, -0.016965489061429907, -0.23182136279035312, 0.1906598717204104, -0.11115054768593743, -0.13283552722826314, 0.1098853481757359, 0.2027868055499708, 0.09274582536174701, -0.11756647302984045, 0.0808805037287619, -0.03631870350158678, 0.17021061828470407, 0.08765628046911353, 0.04171438175492371, 0.18388535647103801, 0.1492643404411725, 0.14366521317293893, 0.1250365158969847, -0.06804964689478929, -0.10118867996005484, -0.30203771360445386, -0.11516616755696492, -0.25583322616353726, 0.03779168258794622, -0.1278808061120239, -0.1663897582091009, 0.3970715294902523, 0.10358198850269382, 0.2534693735681522, 0.08970984772970088, 0.2378764890271645, 0.10502048220438062, 0.09247788369936107, 0.1437066062950553, 0.23946631665323645, 0.07242626102509885, 0.013506675945021786, -0.15078191523953605, 0.11244996111744489, 0.053253477288541406]
|
707.1822
|
FIRI - a Far-Infrared Interferometer
|
Half of the energy ever emitted by stars and accreting objects comes to us in
the FIR waveband and has yet to be properly explored. We propose a powerful
Far-InfraRed Interferometer mission, FIRI, to carry out high-resolution imaging
spectroscopy in the FIR. This key observational capability is essential to
reveal how gas and dust evolve into stars and planets, how the first luminous
objects in the Universe ignited, how galaxies formed, and when super-massive
black holes grew. FIRI will disentangle the cosmic histories of star formation
and accretion onto black holes and will trace the assembly and evolution of
quiescent galaxies like our Milky Way. Perhaps most importantly, FIRI will
observe all stages of planetary system formation and recognise Earth-like
planets that may harbour life, via its ability to image the dust structures in
planetary systems. It will thus address directly questions fundamental to our
understanding of how the Universe has developed and evolved - the very
questions posed by ESA's Cosmic Vision.
|
astro-ph
|
half of the energy ever emitted by stars and accreting objects comes to us in the fir waveband and has yet to be properly explored we propose a powerful farinfrared interferometer mission firi to carry out highresolution imaging spectroscopy in the fir this key observational capability is essential to reveal how gas and dust evolve into stars and planets how the first luminous objects in the universe ignited how galaxies formed and when supermassive black holes grew firi will disentangle the cosmic histories of star formation and accretion onto black holes and will trace the assembly and evolution of quiescent galaxies like our milky way perhaps most importantly firi will observe all stages of planetary system formation and recognise earthlike planets that may harbour life via its ability to image the dust structures in planetary systems it will thus address directly questions fundamental to our understanding of how the universe has developed and evolved the very questions posed by esas cosmic vision
|
[['half', 'of', 'the', 'energy', 'ever', 'emitted', 'by', 'stars', 'and', 'accreting', 'objects', 'comes', 'to', 'us', 'in', 'the', 'fir', 'waveband', 'and', 'has', 'yet', 'to', 'be', 'properly', 'explored', 'we', 'propose', 'a', 'powerful', 'farinfrared', 'interferometer', 'mission', 'firi', 'to', 'carry', 'out', 'highresolution', 'imaging', 'spectroscopy', 'in', 'the', 'fir', 'this', 'key', 'observational', 'capability', 'is', 'essential', 'to', 'reveal', 'how', 'gas', 'and', 'dust', 'evolve', 'into', 'stars', 'and', 'planets', 'how', 'the', 'first', 'luminous', 'objects', 'in', 'the', 'universe', 'ignited', 'how', 'galaxies', 'formed', 'and', 'when', 'supermassive', 'black', 'holes', 'grew', 'firi', 'will', 'disentangle', 'the', 'cosmic', 'histories', 'of', 'star', 'formation', 'and', 'accretion', 'onto', 'black', 'holes', 'and', 'will', 'trace', 'the', 'assembly', 'and', 'evolution', 'of', 'quiescent', 'galaxies', 'like', 'our', 'milky', 'way', 'perhaps', 'most', 'importantly', 'firi', 'will', 'observe', 'all', 'stages', 'of', 'planetary', 'system', 'formation', 'and', 'recognise', 'earthlike', 'planets', 'that', 'may', 'harbour', 'life', 'via', 'its', 'ability', 'to', 'image', 'the', 'dust', 'structures', 'in', 'planetary', 'systems', 'it', 'will', 'thus', 'address', 'directly', 'questions', 'fundamental', 'to', 'our', 'understanding', 'of', 'how', 'the', 'universe', 'has', 'developed', 'and', 'evolved', 'the', 'very', 'questions', 'posed', 'by', 'esas', 'cosmic', 'vision']]
|
[-0.040580830123220904, 0.12833418130564192, -0.10506415916434317, 0.13721396972588407, -0.14365760489068005, -0.04818068529525197, 0.015502273853879743, 0.3903507948335674, -0.17721879384322323, -0.3477357770373792, 0.07833605998534893, -0.2807515944428972, -0.09476275381597656, 0.19225286401609834, -0.07011193603300202, -0.017453269702080568, 0.08583683928009123, -0.12091287084924127, 0.010528769305286309, -0.33051138480256254, 0.336243844266268, 0.14583068323195164, 0.12256801188068268, -0.04720158710426157, 0.07775541795072732, -0.11392682029026342, -0.07857817984301091, -0.05085881493330278, -0.1738699019355588, 0.07476462857843733, 0.3250521503296899, 0.2183131559085055, 0.2488255786749146, -0.44776051209802614, -0.24048578250006325, 0.07464105509872618, 0.22252553081093931, 0.0364108200725398, -0.08991331864079391, -0.2569987914959015, 0.06883832543835412, -0.1539289223153811, -0.16108752650001812, -0.014758860323014726, 0.06315942932161744, -0.030127135393594934, -0.1495962667618131, 0.05253862685622377, 0.06494575713467957, -0.008646696785832813, -0.12433315294199726, -0.022602392937614364, -0.0614821686715543, 0.1511033356851211, 0.009756818387145752, 0.049864176488308994, 0.24516046300449948, -0.13051108368974249, -0.041842023410868866, 0.430917344286026, -0.0465160238938866, 0.001712264884033321, 0.26620471701859555, -0.2667717043990212, -0.16860262061940667, 0.09725345056062064, 0.1630955408039836, 0.13551187131519396, -0.17779809562103135, 0.004773841976090392, 0.02801120903107257, 0.20225632366620833, 0.07608144619375651, 0.08242993149618952, 0.47204651216182997, 0.14811956221137174, 0.03607094093631194, 0.11155625719528209, -0.15896591532653498, -0.030231109415008513, -0.13423794323153057, -0.14981125047384405, -0.13724050617900413, 0.12031355302458928, -0.0605342713417126, -0.09627446129251226, 0.32529767473906646, 0.16522342104962048, 0.1652250564779316, -0.016235463871666588, 0.3227132591500215, 0.008458648004891052, 0.10496783553174248, 0.08074025087414977, 0.3104863056315132, 0.1552970308126353, 0.15433718089192508, -0.2445298516806675, 0.06755526067134292, 0.003948015387221757]
|
707.1823
|
Lband radiometric behaviour of pine forests for a variety of surface
moisture conditions
|
From July-December 2004 the experimental campaign 'Bray 2004' was conducted
in the coniferous forest of Les Landes near Bordeaux, France, using a
multi-angle L-band (1.4 GHz) radiometer to measure upwelling radiation above
the forest. At the same time, ground measurements were taken of soil and litter
moisture content. This experiment was done in the context of the upcoming SMOS
mission in order to improve our understanding of the behaviour of the L-band
signal above forested areas. Very little information exists on this subject at
the moment, especially for varying hydrological conditions. Furthermore,
additional measurements were done at the University of Bordeaux (PIOM
laboratory) to determine the dielectric behaviour of a litter layer such as
that found at the Bray site. There is some evidence that this layer may have a
different influence on the L-band signal than either the soil or the
vegetation, however the exact behaviour of the litter layer and the extent of
its influence on the L-band signal are as yet unknown. This paper presents 1)
results of the Bray experiment describing the behaviour of the above-canopy
L-band emissivity for different conditions of ground moisture and 2) the
relationship between soil and litter moisture content and results of the
laboratory experiments on litter dielectric properties. Together this will give
a first insight into the L-band radiometric properties of the different forest
layers for varying hydrological conditions.
|
physics.geo-ph
|
from julydecember 2004 the experimental campaign bray 2004 was conducted in the coniferous forest of les landes near bordeaux france using a multiangle lband 14 ghz radiometer to measure upwelling radiation above the forest at the same time ground measurements were taken of soil and litter moisture content this experiment was done in the context of the upcoming smos mission in order to improve our understanding of the behaviour of the lband signal above forested areas very little information exists on this subject at the moment especially for varying hydrological conditions furthermore additional measurements were done at the university of bordeaux piom laboratory to determine the dielectric behaviour of a litter layer such as that found at the bray site there is some evidence that this layer may have a different influence on the lband signal than either the soil or the vegetation however the exact behaviour of the litter layer and the extent of its influence on the lband signal are as yet unknown this paper presents 1 results of the bray experiment describing the behaviour of the abovecanopy lband emissivity for different conditions of ground moisture and 2 the relationship between soil and litter moisture content and results of the laboratory experiments on litter dielectric properties together this will give a first insight into the lband radiometric properties of the different forest layers for varying hydrological conditions
|
[['from', 'julydecember', '2004', 'the', 'experimental', 'campaign', 'bray', '2004', 'was', 'conducted', 'in', 'the', 'coniferous', 'forest', 'of', 'les', 'landes', 'near', 'bordeaux', 'france', 'using', 'a', 'multiangle', 'lband', '14', 'ghz', 'radiometer', 'to', 'measure', 'upwelling', 'radiation', 'above', 'the', 'forest', 'at', 'the', 'same', 'time', 'ground', 'measurements', 'were', 'taken', 'of', 'soil', 'and', 'litter', 'moisture', 'content', 'this', 'experiment', 'was', 'done', 'in', 'the', 'context', 'of', 'the', 'upcoming', 'smos', 'mission', 'in', 'order', 'to', 'improve', 'our', 'understanding', 'of', 'the', 'behaviour', 'of', 'the', 'lband', 'signal', 'above', 'forested', 'areas', 'very', 'little', 'information', 'exists', 'on', 'this', 'subject', 'at', 'the', 'moment', 'especially', 'for', 'varying', 'hydrological', 'conditions', 'furthermore', 'additional', 'measurements', 'were', 'done', 'at', 'the', 'university', 'of', 'bordeaux', 'piom', 'laboratory', 'to', 'determine', 'the', 'dielectric', 'behaviour', 'of', 'a', 'litter', 'layer', 'such', 'as', 'that', 'found', 'at', 'the', 'bray', 'site', 'there', 'is', 'some', 'evidence', 'that', 'this', 'layer', 'may', 'have', 'a', 'different', 'influence', 'on', 'the', 'lband', 'signal', 'than', 'either', 'the', 'soil', 'or', 'the', 'vegetation', 'however', 'the', 'exact', 'behaviour', 'of', 'the', 'litter', 'layer', 'and', 'the', 'extent', 'of', 'its', 'influence', 'on', 'the', 'lband', 'signal', 'are', 'as', 'yet', 'unknown', 'this', 'paper', 'presents', '1', 'results', 'of', 'the', 'bray', 'experiment', 'describing', 'the', 'behaviour', 'of', 'the', 'abovecanopy', 'lband', 'emissivity', 'for', 'different', 'conditions', 'of', 'ground', 'moisture', 'and', '2', 'the', 'relationship', 'between', 'soil', 'and', 'litter', 'moisture', 'content', 'and', 'results', 'of', 'the', 'laboratory', 'experiments', 'on', 'litter', 'dielectric', 'properties', 'together', 'this', 'will', 'give', 'a', 'first', 'insight', 'into', 'the', 'lband', 'radiometric', 'properties', 'of', 'the', 'different', 'forest', 'layers', 'for', 'varying', 'hydrological', 'conditions']]
|
[-0.05982623632591103, 0.1157841699737399, -0.07935679557408448, 0.01972450530141108, -0.05523786402721828, -0.07377722906769307, 0.048186772375517335, 0.3491148178584644, -0.20451927061155767, -0.3362321585318328, 0.16934881578886773, -0.31730184602932715, -0.10962432353923483, 0.1884570064603675, -0.0335908942642552, 0.04675355997005281, 0.055471788253840304, -0.01622979904397797, 0.005209668927173651, -0.2350418928421886, 0.2693485120549339, 0.1538516451575945, 0.28898444895361786, 0.08431860618498423, 0.1142545889894835, -0.06068935206094305, -0.06856220945231781, -0.008176668458115637, -0.1435953792698588, 0.04980217179053746, 0.2729777658434117, 0.11185826687142253, 0.22451311454898987, -0.4454848254632845, -0.2349682418734147, 0.058348565544965904, 0.04288405672306531, 0.04558792301773664, -0.02714670488779076, -0.2985980413743348, 0.05909992885439439, -0.10706729512858627, -0.11076514141663339, 0.02747873401490865, -0.008171600751201356, 0.009709413006946872, -0.26148650974511184, 0.03216403721634807, 0.021412705071270466, 0.1686979688806326, -0.11960592836660583, -0.1707166003654116, -0.03482797726196963, 0.17744502110000585, 0.014618412202782108, 0.011159526673966141, 0.14511701248028205, -0.11504591718041195, -0.004774805710195576, 0.3488036986124509, -0.08431282029508988, -0.08497755016489487, 0.2109747578160189, -0.17873016196520514, -0.1277131172192451, 0.12319441974913857, 0.2198589880261488, 0.04991419736443637, -0.16488051491980296, 0.030261395780404512, -0.06591741704599448, 0.18978275232722713, 0.11589888796222597, -0.023214747435885117, 0.20093578588430838, 0.1796076656498696, 0.028506312686498666, 0.1464024263450523, -0.17891419699029906, -0.014506427903499635, -0.25096506758547893, -0.14062385962884216, -0.1390696571686506, 0.019599838671165503, -0.07509270764338334, -0.11957596226837404, 0.4037472459227093, 0.16699345102113167, 0.16226176445737547, 0.002984154012489096, 0.28426020378852057, 0.033184399264700515, 0.03739495297928755, 0.019883642341359007, 0.28445275350935895, 0.11857462483806953, 0.19605368693125338, -0.2066969134696628, 0.11622733109946555, 0.0005913659394821276]
|
707.1824
|
The Kinematics of Manipulators Built From Closed Planar Mechanisms
|
The paper discusses the kinematics of manipulators builts of planar closed
kinematic chains. A special kinematic scheme is extracted from the array of
these mechanisms that looks the most promising for the creation of different
types of robotic manipulators. The structural features of this manipulator
determine a number of its original properties that essentially simplify its
control. These features allow the main control problems to be effectively
overcome by application of the simple kinematic problems. The workspace and
singular configurations of a basic planar manipulator are studied. By using a
graphic simulation method, motions of the designed mechanism are examined. A
prototype of this mechanism was implemented to verify the proposed approach.
|
cs.RO
|
the paper discusses the kinematics of manipulators builts of planar closed kinematic chains a special kinematic scheme is extracted from the array of these mechanisms that looks the most promising for the creation of different types of robotic manipulators the structural features of this manipulator determine a number of its original properties that essentially simplify its control these features allow the main control problems to be effectively overcome by application of the simple kinematic problems the workspace and singular configurations of a basic planar manipulator are studied by using a graphic simulation method motions of the designed mechanism are examined a prototype of this mechanism was implemented to verify the proposed approach
|
[['the', 'paper', 'discusses', 'the', 'kinematics', 'of', 'manipulators', 'builts', 'of', 'planar', 'closed', 'kinematic', 'chains', 'a', 'special', 'kinematic', 'scheme', 'is', 'extracted', 'from', 'the', 'array', 'of', 'these', 'mechanisms', 'that', 'looks', 'the', 'most', 'promising', 'for', 'the', 'creation', 'of', 'different', 'types', 'of', 'robotic', 'manipulators', 'the', 'structural', 'features', 'of', 'this', 'manipulator', 'determine', 'a', 'number', 'of', 'its', 'original', 'properties', 'that', 'essentially', 'simplify', 'its', 'control', 'these', 'features', 'allow', 'the', 'main', 'control', 'problems', 'to', 'be', 'effectively', 'overcome', 'by', 'application', 'of', 'the', 'simple', 'kinematic', 'problems', 'the', 'workspace', 'and', 'singular', 'configurations', 'of', 'a', 'basic', 'planar', 'manipulator', 'are', 'studied', 'by', 'using', 'a', 'graphic', 'simulation', 'method', 'motions', 'of', 'the', 'designed', 'mechanism', 'are', 'examined', 'a', 'prototype', 'of', 'this', 'mechanism', 'was', 'implemented', 'to', 'verify', 'the', 'proposed', 'approach']]
|
[-0.1510540161834797, 0.027827813148698106, -0.0984492307574588, -0.0002453603576993503, -0.12020634915513385, -0.14463213952175075, -0.007731909184907896, 0.37287341873161495, -0.2878246547573196, -0.3188591633599052, 0.09234625679839935, -0.18305676208651026, -0.17391856618009374, 0.22188518968011653, -0.047806511724567305, 0.10362808068020968, 0.07856548130179622, -0.0003255443651661543, -0.027180076309897622, -0.21347565120751305, 0.30682469993397327, 0.020029003864952495, 0.2723720408186117, 0.008470629981664908, 0.15089673846627452, 0.013854616749865403, -0.02610265925925757, 0.03866568426435281, -0.12042269904655509, 0.14702257387398276, 0.24146829865847913, 0.12721262395747804, 0.22456548893075837, -0.40925377316307276, -0.17924913181091792, 0.04925681794078888, 0.14060305403212883, 0.07680867135344929, -0.0205842088949534, -0.2748940171607371, 0.12910266202691542, -0.14339574927830004, -0.1886107254457394, -0.056572674303814505, -0.022021445624497055, 0.0547386432049929, -0.22731702190191885, -0.018568558186026558, 0.06489602612314879, 0.058515915755249025, -0.044813782492253394, -0.10405275616462209, -0.007376403132054422, 0.16880565163280284, -0.0009852610965026543, -0.03747210059996827, 0.156165534131495, -0.13376060458332567, -0.1716402946726053, 0.4097282562309244, 0.08207598295952526, -0.22610343327479704, 0.21165679981433122, -0.07165223676877629, -0.13762435035979642, 0.12371518683357863, 0.19545997787333494, 0.163100244319399, -0.22009123791108973, 0.06487226731042028, -0.05284908980995949, 0.11359317014492783, 0.04985091972464163, -0.023035832302412018, 0.17594360345382093, 0.19686116126155997, 0.03479185154979599, 0.19524012959092424, -0.07570436747170918, -0.08689791839320346, -0.30616094900428187, -0.14018350566038862, -0.13385127061545582, -0.046421875422570986, -0.09252739269647593, -0.1517277392350869, 0.41871843961738314, 0.16681512212315802, 0.18499982845553728, 0.013468001844427948, 0.34155783936876105, 0.04406263805659754, 0.09498833296726973, 0.028732862302734117, 0.24686873308382928, 0.11511778052746584, 0.09247023183395088, -0.24775266984319647, 0.0794964128103207, 0.05649224524053612]
|
707.1825
|
A solid angle polynomial with negative coefficients
|
This article has been replaced by arXiv:0906.4031
|
math.CO
|
this article has been replaced by arxiv09064031
|
[['this', 'article', 'has', 'been', 'replaced', 'by', 'arxiv09064031']]
|
[-0.04845165212949117, 0.13359238533303142, -0.13563921042562774, -0.12186264442667986, -0.05646844394505024, -0.11079728199789922, -0.0883878383707876, 0.3959589848915736, -0.16523358598351479, -0.2645369420448939, 0.20824163407087326, -0.2495188762744268, -0.18675473487625519, 0.1293863651032249, -0.2036297246813774, 0.10257447883486748, -0.03318842127919197, 0.043558061743776, -0.020010497731467087, -0.3019312048951785, 0.43413326765100163, 0.1700345998009046, 0.1787238965431849, 0.06567085285981496, 0.12252025259658694, -0.03958937106654048, -0.08002602929870288, 0.2317698678622643, -0.16409222843746343, 0.1657481367389361, 0.19686143100261688, 0.06227273753999422, 0.4614562789599101, -0.46434113134940463, -0.3507339196900527, 0.24924095968405405, 0.3353201597929001, 0.04742389296491941, -0.1585302852715055, -0.3233854480398198, 0.189548393090566, -0.31928779805699986, -0.09781968880755205, -0.06172878295183182, 0.07460958044975996, -0.08364880954225858, -0.09847198069716494, -0.06228763128941258, 0.13131023198366165, 0.18538916545609632, 0.14522000712653002, -0.0969466903867821, 0.1343557502453526, 0.015902162219087284, 0.15965934470295906, 0.20990533769751588, -0.08845452265813947, 0.07648966279036055, -0.08172985600928466, 0.35506075620651245, 0.015435039686659971, -0.19449805344144502, 0.09071902558207512, -0.02068842644803226, -0.16123575748254856, 0.10194189427420497, 0.023569342214614153, 0.07371196026603381, -0.3608866333961487, 0.3235641777282581, -0.10744621402894457, 0.07905656347672145, 0.2223991978292664, -0.06506180212212105, 0.1883549696455399, 0.24307998890678087, -0.03688470801959435, 0.2067234174658855, 0.01769678605099519, -0.02911249843115608, -0.14057622974117598, -0.187761212864037, -0.30342471102873486, 0.07687865399445097, 0.2943836410219471, 0.04021985021730264, 0.4383332934230566, 0.09237389763196309, 0.1410254848500093, -0.07413777833183606, 0.2710631688435872, 0.2996588957806428, 0.12695694776872793, -0.04069960427780946, 0.30314796914656955, 0.12150191084947437, 0.1572062394892176, -0.008229412759343782, 0.27616772924860317, 0.09940130884448688]
|
707.1826
|
Doping-driven Mott transition in La_{1-x}Sr_xTiO_3 via simultaneous
electron and hole doping of t2g subbands
|
The insulator to metal transition in LaTiO_3 induced by La substitution via
Sr is studied within multi-band exact diagonalization dynamical mean field
theory at finite temperatures. It is shown that weak hole doping triggers a
large interorbital charge transfer, with simultaneous electron and hole doping
of t2g subbands. The transition is first-order and exhibits phase separation
between insulator and metal. In the metallic phase, subband compressibilities
become very large and have opposite signs. Electron doping gives rise to an
interorbital charge flow in the same direction as hole doping. These results
can be understood in terms of a strong orbital depolarization.
|
cond-mat.str-el
|
the insulator to metal transition in latio_3 induced by la substitution via sr is studied within multiband exact diagonalization dynamical mean field theory at finite temperatures it is shown that weak hole doping triggers a large interorbital charge transfer with simultaneous electron and hole doping of t2g subbands the transition is firstorder and exhibits phase separation between insulator and metal in the metallic phase subband compressibilities become very large and have opposite signs electron doping gives rise to an interorbital charge flow in the same direction as hole doping these results can be understood in terms of a strong orbital depolarization
|
[['the', 'insulator', 'to', 'metal', 'transition', 'in', 'latio_3', 'induced', 'by', 'la', 'substitution', 'via', 'sr', 'is', 'studied', 'within', 'multiband', 'exact', 'diagonalization', 'dynamical', 'mean', 'field', 'theory', 'at', 'finite', 'temperatures', 'it', 'is', 'shown', 'that', 'weak', 'hole', 'doping', 'triggers', 'a', 'large', 'interorbital', 'charge', 'transfer', 'with', 'simultaneous', 'electron', 'and', 'hole', 'doping', 'of', 't2g', 'subbands', 'the', 'transition', 'is', 'firstorder', 'and', 'exhibits', 'phase', 'separation', 'between', 'insulator', 'and', 'metal', 'in', 'the', 'metallic', 'phase', 'subband', 'compressibilities', 'become', 'very', 'large', 'and', 'have', 'opposite', 'signs', 'electron', 'doping', 'gives', 'rise', 'to', 'an', 'interorbital', 'charge', 'flow', 'in', 'the', 'same', 'direction', 'as', 'hole', 'doping', 'these', 'results', 'can', 'be', 'understood', 'in', 'terms', 'of', 'a', 'strong', 'orbital', 'depolarization']]
|
[-0.1805016736253303, 0.23132189232893496, -0.0035069556215243172, 0.08881682398991825, 0.0031014018263298983, -0.21370026841413894, 0.10152855786923688, 0.4031099715260881, -0.25349936034014026, -0.266501889029278, -0.04397743100318873, -0.3518451539762687, -0.10108434605310754, 0.12539137507924847, 0.025818250416363084, -0.0762046015855832, -0.06507348339303885, -0.0835654231527184, -0.20296575552046225, -0.17230975220560807, 0.27571422537087953, 0.03132806904613972, 0.3139233110601654, 0.12206569567926707, 0.03068880395189223, 0.024031517423209872, 0.15960730969131287, 0.07084884913522971, -0.10266305554675752, -0.029620353671915754, 0.32442716175764064, -0.13168916956171173, 0.20112271096077886, -0.41450319266739755, -0.20217095976603208, -0.05948171373180086, 0.15233386118001868, 0.2041252526768142, -0.13490750909884378, -0.290545752954365, 0.04035917814304628, -0.20588945455809982, -0.0764054971525796, -0.1009956697407778, 0.005820133353325326, -0.015140710914931675, -0.2775897243899284, 0.1457754609516204, 0.0903868965492215, 0.07560237222305029, -0.10731048378540148, -0.1014185095169019, -0.13582388545838323, 0.0816943358058239, 0.11832506697634143, 0.10565551691273652, 0.13851258720243625, -0.05731905162989134, -0.05907217115117698, 0.3335543747640925, -0.07482014709650216, -0.0783861124021287, 0.19362413670203768, -0.24230495578664732, -0.026523645695225143, 0.23792299253653992, 0.08335574179666468, 0.09105622110021587, -0.10639231980289562, 0.12206671407012877, 0.0207635580497508, 0.18948184398215007, 0.0534595437393994, 0.11550086073227006, 0.31077471325095596, 0.16265223948008353, 0.09120370256991153, 0.09259575372216024, -0.14798230448700855, -0.0846285891977351, -0.1559814913843823, -0.13787976530551135, -0.23311137919323427, 0.08552989182707918, -0.10181385023222018, -0.21605060956905375, 0.37005901300246913, 0.09794454125798133, 0.1839752926555748, -0.11930788114740706, 0.21715218338672773, 0.18202256385379903, 0.05010063236689951, -0.004341320014826142, 0.25657301712873404, 0.19267223278604595, 0.12110792140079903, -0.3247807440094392, 0.0642290561192549, 0.10884381520866167]
|
707.1827
|
Magnetospheric Emissions from the Planet Orbiting tau Boo: A Multi-Epoch
Search
|
All of the solar system gas giants produce electron cyclotron masers, driven
by the solar wind impinging on their magnetospheres. Extrapolating to the
planet orbiting tau Boo, various authors have predicted that it may be within
the detection limits of the 4-meter wavelength (74 MHz) system on the Very
Large Array. This paper reports three epochs of observations of tau Boo. In no
epoch do we detect the planet; various means of determining the upper limit to
the emission yield single-epoch limits ranging from 135 to 300 mJy. We develop
a likelihood method for multi-epoch observations and use it to constrain
various radiation properties of the planet. Assuming that the planet does
radiate at our observation wavelength, its typical luminosity must be less than
about 10^{16} W, unless its radiation is highly beamed into a solid angle Omega
<< 1 sr. While within the range of luminosities predicted by various authors
for this planet, this value is lower than recent estimates which attempt to
take into account the stellar wind of tau Boo using the known properties of the
star itself. Electron cyclotron maser emission from solar systems planets is
beamed, but with characteristic solid angles of approximately 1 sr illuminated.
Future long-wavelength instruments (e.g., the Long Wavelength Array and the Low
Frequency Array) must be able to make typical flux density measurements on
short time scales (~ 15 min.) of approximately 25 mJy in order to improve these
constraints significantly.
|
astro-ph
|
all of the solar system gas giants produce electron cyclotron masers driven by the solar wind impinging on their magnetospheres extrapolating to the planet orbiting tau boo various authors have predicted that it may be within the detection limits of the 4meter wavelength 74 mhz system on the very large array this paper reports three epochs of observations of tau boo in no epoch do we detect the planet various means of determining the upper limit to the emission yield singleepoch limits ranging from 135 to 300 mjy we develop a likelihood method for multiepoch observations and use it to constrain various radiation properties of the planet assuming that the planet does radiate at our observation wavelength its typical luminosity must be less than about 1016 w unless its radiation is highly beamed into a solid angle omega 1 sr while within the range of luminosities predicted by various authors for this planet this value is lower than recent estimates which attempt to take into account the stellar wind of tau boo using the known properties of the star itself electron cyclotron maser emission from solar systems planets is beamed but with characteristic solid angles of approximately 1 sr illuminated future longwavelength instruments eg the long wavelength array and the low frequency array must be able to make typical flux density measurements on short time scales 15 min of approximately 25 mjy in order to improve these constraints significantly
|
[['all', 'of', 'the', 'solar', 'system', 'gas', 'giants', 'produce', 'electron', 'cyclotron', 'masers', 'driven', 'by', 'the', 'solar', 'wind', 'impinging', 'on', 'their', 'magnetospheres', 'extrapolating', 'to', 'the', 'planet', 'orbiting', 'tau', 'boo', 'various', 'authors', 'have', 'predicted', 'that', 'it', 'may', 'be', 'within', 'the', 'detection', 'limits', 'of', 'the', '4meter', 'wavelength', '74', 'mhz', 'system', 'on', 'the', 'very', 'large', 'array', 'this', 'paper', 'reports', 'three', 'epochs', 'of', 'observations', 'of', 'tau', 'boo', 'in', 'no', 'epoch', 'do', 'we', 'detect', 'the', 'planet', 'various', 'means', 'of', 'determining', 'the', 'upper', 'limit', 'to', 'the', 'emission', 'yield', 'singleepoch', 'limits', 'ranging', 'from', '135', 'to', '300', 'mjy', 'we', 'develop', 'a', 'likelihood', 'method', 'for', 'multiepoch', 'observations', 'and', 'use', 'it', 'to', 'constrain', 'various', 'radiation', 'properties', 'of', 'the', 'planet', 'assuming', 'that', 'the', 'planet', 'does', 'radiate', 'at', 'our', 'observation', 'wavelength', 'its', 'typical', 'luminosity', 'must', 'be', 'less', 'than', 'about', '1016', 'w', 'unless', 'its', 'radiation', 'is', 'highly', 'beamed', 'into', 'a', 'solid', 'angle', 'omega', '1', 'sr', 'while', 'within', 'the', 'range', 'of', 'luminosities', 'predicted', 'by', 'various', 'authors', 'for', 'this', 'planet', 'this', 'value', 'is', 'lower', 'than', 'recent', 'estimates', 'which', 'attempt', 'to', 'take', 'into', 'account', 'the', 'stellar', 'wind', 'of', 'tau', 'boo', 'using', 'the', 'known', 'properties', 'of', 'the', 'star', 'itself', 'electron', 'cyclotron', 'maser', 'emission', 'from', 'solar', 'systems', 'planets', 'is', 'beamed', 'but', 'with', 'characteristic', 'solid', 'angles', 'of', 'approximately', '1', 'sr', 'illuminated', 'future', 'longwavelength', 'instruments', 'eg', 'the', 'long', 'wavelength', 'array', 'and', 'the', 'low', 'frequency', 'array', 'must', 'be', 'able', 'to', 'make', 'typical', 'flux', 'density', 'measurements', 'on', 'short', 'time', 'scales', '15', 'min', 'of', 'approximately', '25', 'mjy', 'in', 'order', 'to', 'improve', 'these', 'constraints', 'significantly']]
|
[-0.08220970754903277, 0.17113563566075085, -0.029810274771909583, 0.06727442877156714, -0.10070412350471704, -0.10895173295856957, 0.047474519363760355, 0.3960991613001847, -0.17761384222118737, -0.37917260263917896, 0.09810943224588624, -0.2815270776846777, 0.0020436311849864456, 0.24450020108247278, -0.023920368033005353, 0.005246701505167651, 0.08418442519727418, -0.07001063520883728, -0.044875629385543604, -0.19622440188032064, 0.2328968968483031, 0.11128512011727934, 0.14530385183715983, 0.011087689636407662, 0.0639361903464975, -0.09380584758234885, -0.041410315403847264, -0.04603760587012543, -0.14778941873163637, 0.04856801591813564, 0.24564262178714805, 0.12667204260535803, 0.19645875537277016, -0.40471296316834954, -0.2165073704239464, 0.06676500408947234, 0.15047937605517114, 0.011642897657944849, 0.024822977482084046, -0.26096698822196435, 0.08004807759839633, -0.18248718237177036, -0.14613968158281063, 0.07129862329388763, 0.07873995139002488, 0.012231896542525114, -0.24662594768222593, 0.052229864944150536, 0.035158415366876014, 0.07917771704003476, -0.12902953948584, -0.1513035083540314, -0.012413143107246716, 0.0612128186896911, 0.05938753441256708, 0.07714953884447313, 0.19145313253583363, -0.081417242069943, -0.02695093335579909, 0.4016098865779374, -0.1009620929753776, -0.06077327358703982, 0.22346548567366276, -0.2760765984728465, -0.12822237373505052, 0.20838860980776688, 0.16730717505488124, 0.12093168186807078, -0.15407741403501388, -0.011815578234844713, -0.017518238480608114, 0.2469372659800847, 0.09697064599626265, 0.08346371923692165, 0.3338682678407331, 0.13742549748210603, 0.06202586031339626, 0.054127886874316786, -0.2506568426564414, -0.003730276859877826, -0.21856368824870767, -0.07838431847984142, -0.15446431185927428, 0.11368865583279018, -0.10199247820122133, -0.09369751795148282, 0.3806640264563794, 0.17963472670811192, 0.16346499087409774, 0.05852562912679414, 0.30010428364197705, 0.1329834092135403, 0.08420563586130271, 0.09008597140103017, 0.3497709098455173, 0.1398542432083308, 0.11924991211814955, -0.21912085715969673, 0.058320451263342225, -0.017915700557427364]
|
707.1828
|
An extended version of additive K-theory
|
There are two infinitesimal (i.e., additive) versions of the $K$-theory of a
field $F$: one was introduced by Cathelineau, which is an $F$-module, and
another one introduced by Bloch-Esnault, which is an $F^*$-module. Both
versions are equipped with a regulator map, when $F$ is the field of complex
numbers.
In our short paper we will introduce an extended version of Cathelineau's
group, and a complex-valued regulator map given by the entropy. We will also
give a comparison map between our extended version and Cathelineau's group.
Our results were motivated by two unrelated sources: Neumann's work on the
extended Bloch group (which is isomorphic to indecomposable $K_3$ of the
complex numbers), and the study of singularities of generating series of
hypergeometric multisums. Final version.
|
math.AG math.NT
|
there are two infinitesimal ie additive versions of the ktheory of a field f one was introduced by cathelineau which is an fmodule and another one introduced by blochesnault which is an fmodule both versions are equipped with a regulator map when f is the field of complex numbers in our short paper we will introduce an extended version of cathelineaus group and a complexvalued regulator map given by the entropy we will also give a comparison map between our extended version and cathelineaus group our results were motivated by two unrelated sources neumanns work on the extended bloch group which is isomorphic to indecomposable k_3 of the complex numbers and the study of singularities of generating series of hypergeometric multisums final version
|
[['there', 'are', 'two', 'infinitesimal', 'ie', 'additive', 'versions', 'of', 'the', 'ktheory', 'of', 'a', 'field', 'f', 'one', 'was', 'introduced', 'by', 'cathelineau', 'which', 'is', 'an', 'fmodule', 'and', 'another', 'one', 'introduced', 'by', 'blochesnault', 'which', 'is', 'an', 'fmodule', 'both', 'versions', 'are', 'equipped', 'with', 'a', 'regulator', 'map', 'when', 'f', 'is', 'the', 'field', 'of', 'complex', 'numbers', 'in', 'our', 'short', 'paper', 'we', 'will', 'introduce', 'an', 'extended', 'version', 'of', 'cathelineaus', 'group', 'and', 'a', 'complexvalued', 'regulator', 'map', 'given', 'by', 'the', 'entropy', 'we', 'will', 'also', 'give', 'a', 'comparison', 'map', 'between', 'our', 'extended', 'version', 'and', 'cathelineaus', 'group', 'our', 'results', 'were', 'motivated', 'by', 'two', 'unrelated', 'sources', 'neumanns', 'work', 'on', 'the', 'extended', 'bloch', 'group', 'which', 'is', 'isomorphic', 'to', 'indecomposable', 'k_3', 'of', 'the', 'complex', 'numbers', 'and', 'the', 'study', 'of', 'singularities', 'of', 'generating', 'series', 'of', 'hypergeometric', 'multisums', 'final', 'version']]
|
[-0.16530535878521985, 0.09096523021196576, -0.10604265153972951, 0.06330877542734284, -0.06920427200002749, -0.119168387260288, -0.02106046673486803, 0.3344432248077432, -0.28341245913465857, -0.24365780284231314, 0.1318577582915466, -0.25730323057944243, -0.1864065167586678, 0.2205841884810905, -0.1306029390534157, -0.032621054131476604, 0.025317023813602377, 0.06757051046159057, -0.04675331785435193, -0.27751868514947164, 0.39146640511290703, 0.01612702228861754, 0.18240599750281603, 0.002579238044372836, 0.10615685404675296, 0.029072864800328998, -0.06126967662960657, 0.02621157692562117, -0.11567244913856514, 0.14412517004959347, 0.2255930039100349, 0.07191742261581612, 0.2619233958463215, -0.36133232906643975, -0.14494046996744564, 0.147682788003175, 0.09975897853518455, 0.033577963105807476, -0.033664737542762925, -0.2907355782255286, 0.08032298253059052, -0.1879302699683753, -0.10505209267177604, -0.07310845600975463, 0.025191163646103052, 0.025320920743979514, -0.24846412438029025, 0.009753657180718604, 0.06825475184796531, 0.08159034269419117, -0.041881919727798124, -0.08380981993892031, -0.016525418801065228, 0.08332502131553589, 0.010175470728427172, 0.09282532090905168, 0.0723683528609757, -0.07914467806332424, -0.1451590301752373, 0.360753546270435, -0.07719755241815306, -0.22568978169230652, 0.14734786998200972, -0.10025026033953076, -0.1595103219399595, 0.12210442242975973, 0.06009215299711853, 0.12544569558417235, -0.10481716773234648, 0.11583140515149801, -0.11316922673436462, 0.14605594228105773, 0.08436441716936524, -0.02971455043555833, 0.13672150746674933, 0.05925237991824196, 0.04940373459296515, 0.1937072780536732, -0.017806140433035057, -0.056896047109402104, -0.33012657087357317, -0.18251547939239499, -0.15018372418352718, 0.09022583200054274, -0.044748715845940513, -0.14936408997832065, 0.41736911939548665, 0.08107556375964987, 0.19474831004290685, 0.09703346448626034, 0.23685868310390926, 0.1272236529392282, 0.05617779936091822, 0.032730371538610734, 0.1253822817177069, 0.1926999986190807, 0.011662514250511761, -0.12428187326953716, -0.018284682096669176, 0.16574226990800167]
|
707.1829
|
Dirac equation: Representation independence and tensor transformation
|
We define and study the probability current and the Hamiltonian operator for
a fully general set of Dirac matrices in a flat spacetime with affine
coordinates, by using the Bargmann-Pauli hermitizing matrix. We find that with
some weak conditions on the affine coordinates, the current, as well as the
spectrum of the Dirac Hamiltonian, thus all of quantum mechanics, are
independent of that set. These results allow us to show that the tensor Dirac
theory, which transforms the wave function as a spacetime vector and the set of
Dirac matrices as a third-order affine tensor, is physically equivalent to the
genuine Dirac theory, based on the spinor transformation. The tensor Dirac
equation extends immediately to general coordinate systems, thus to
non-inertial (e.g. rotating) coordinate systems.
|
quant-ph gr-qc hep-th
|
we define and study the probability current and the hamiltonian operator for a fully general set of dirac matrices in a flat spacetime with affine coordinates by using the bargmannpauli hermitizing matrix we find that with some weak conditions on the affine coordinates the current as well as the spectrum of the dirac hamiltonian thus all of quantum mechanics are independent of that set these results allow us to show that the tensor dirac theory which transforms the wave function as a spacetime vector and the set of dirac matrices as a thirdorder affine tensor is physically equivalent to the genuine dirac theory based on the spinor transformation the tensor dirac equation extends immediately to general coordinate systems thus to noninertial eg rotating coordinate systems
|
[['we', 'define', 'and', 'study', 'the', 'probability', 'current', 'and', 'the', 'hamiltonian', 'operator', 'for', 'a', 'fully', 'general', 'set', 'of', 'dirac', 'matrices', 'in', 'a', 'flat', 'spacetime', 'with', 'affine', 'coordinates', 'by', 'using', 'the', 'bargmannpauli', 'hermitizing', 'matrix', 'we', 'find', 'that', 'with', 'some', 'weak', 'conditions', 'on', 'the', 'affine', 'coordinates', 'the', 'current', 'as', 'well', 'as', 'the', 'spectrum', 'of', 'the', 'dirac', 'hamiltonian', 'thus', 'all', 'of', 'quantum', 'mechanics', 'are', 'independent', 'of', 'that', 'set', 'these', 'results', 'allow', 'us', 'to', 'show', 'that', 'the', 'tensor', 'dirac', 'theory', 'which', 'transforms', 'the', 'wave', 'function', 'as', 'a', 'spacetime', 'vector', 'and', 'the', 'set', 'of', 'dirac', 'matrices', 'as', 'a', 'thirdorder', 'affine', 'tensor', 'is', 'physically', 'equivalent', 'to', 'the', 'genuine', 'dirac', 'theory', 'based', 'on', 'the', 'spinor', 'transformation', 'the', 'tensor', 'dirac', 'equation', 'extends', 'immediately', 'to', 'general', 'coordinate', 'systems', 'thus', 'to', 'noninertial', 'eg', 'rotating', 'coordinate', 'systems']]
|
[-0.13128850297371467, 0.12333096158615645, -0.059887296580258875, 0.027918849670846436, -0.105412598137909, -0.13306502881459892, -0.010991852448862647, 0.3129756044025623, -0.27210682034943134, -0.2204983250093421, 0.06575639566102426, -0.26539530058301264, -0.20392736133878991, 0.15124511302659108, -0.0047772130177867024, 0.07891791426922165, 0.02319678790386646, 0.06912030176552493, -0.18067597616050812, -0.2024228518618451, 0.4041485291710424, 0.03094848820229902, 0.2744074891576724, -0.009957288144036167, 0.14064900397563412, 0.040878285011727244, 0.021740003799711683, 0.03615434694614622, -0.05686331595449789, 0.08685074767075299, 0.22917321592291456, 0.10751844621717604, 0.17993249466282227, -0.4175586151747754, -0.20276420634810724, 0.08087184436003407, 0.11222609773786614, 0.12109316166231199, -0.011045221677939539, -0.33462090829327223, 0.05481323092469886, -0.15482945950146043, -0.17169814525292285, -0.10504393742397247, 0.004687495931472269, -0.010969351456996294, -0.24516939567101578, 0.07386725187693481, 0.06218854265171103, -0.00040027820655415134, -0.08843747971414198, -0.09822146717136004, -0.04657610332322938, 0.0754642064510394, 0.008348137003204395, 0.028233295706506338, 0.10031359682550593, -0.06798995975705405, -0.09376339381372917, 0.43792366278508016, -0.06973734991286971, -0.31444517864034544, 0.14204925281979564, -0.14515876165786457, -0.09071468068061457, 0.059665416727863976, 0.13730595851947944, 0.11538340887918527, -0.15913231424506633, 0.14143056378018246, -0.08943679322657126, 0.07153408674358, 0.03995230832632871, 0.051513787067022115, 0.20983822692576196, 0.019607324799102162, 0.1183217683611738, 0.08549527049012061, -0.007743196370410582, -0.1329962602523606, -0.3731608526450732, -0.20442555337813834, -0.1859492584847049, 0.11492054598936867, -0.1112593811099472, -0.22218902862720913, 0.4296841737964461, 0.12156926748913623, 0.18866135297303704, 0.05170059456178287, 0.2353801942907364, 0.15794391290323656, 0.05400432515588979, 0.06370537099428475, 0.21657328036235413, 0.18915136919672332, 0.08097198325014042, -0.203544968277246, -0.0682249317328716, 0.13112891485328756]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.