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708.3449 | On Local Behavior of Holomorphic Functions Along Complex Submanifolds of
C^N | In this paper we establish some general results on local behavior of
holomorphic functions along complex submanifolds of $\Co^{N}$. As a corollary,
we present multi-dimensional generalizations of an important result of Coman
and Poletsky on Bernstein type inequalities on transcendental curves in
$\Co^{2}$.
| math.CV math.FA | in this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of con as a corollary we present multidimensional generalizations of an important result of coman and poletsky on bernstein type inequalities on transcendental curves in co2 | [['in', 'this', 'paper', 'we', 'establish', 'some', 'general', 'results', 'on', 'local', 'behavior', 'of', 'holomorphic', 'functions', 'along', 'complex', 'submanifolds', 'of', 'con', 'as', 'a', 'corollary', 'we', 'present', 'multidimensional', 'generalizations', 'of', 'an', 'important', 'result', 'of', 'coman', 'and', 'poletsky', 'on', 'bernstein', 'type', 'inequalities', 'on', 'transcendental', 'curves', 'in', 'co2']] | [-0.1411762141736311, -0.008620410872999643, -0.04940392202589401, 0.12144933570295485, -0.08177637243859989, -0.0652636487448458, 0.016178882634808676, 0.3189660077264836, -0.25182877145274435, -0.18032604542582534, 0.10761899268796105, -0.2499552822650172, -0.23182582993840062, 0.29562159471733623, -0.16591016595186883, 0.027337762093994508, 0.0112919922549884, -0.0025096240041907443, -0.08821794302148614, -0.2694663311852965, 0.41256156726198834, -0.05506085862167353, 0.15795270740162842, 0.10801079492409561, 0.08337595772951148, 0.055971928828850735, -0.023777071462381026, -0.04254033657326905, -0.2511804094104919, 0.16606292490804092, 0.2565922464655582, 0.11081420024856925, 0.24593274563897488, -0.4260003269585066, -0.15257558111794467, 0.13740791392317692, 0.1320052941784609, 0.00841034514298879, -0.04365311476651059, -0.2557394624102947, 0.0035562103527576423, -0.0876670642864219, -0.23134614094052203, -0.1228993157747873, -0.010467844073075888, 0.11057624324268206, -0.23857703082653325, 0.08630707853495381, 0.14444992552663005, 0.14989860133040522, -0.11727384049012217, -0.11721143924338787, -0.0029304223514140344, 0.005682763123754845, 0.026882304961598196, 0.043874308163690014, 0.03336443299113578, -0.06052302629253719, -0.12332106052443038, 0.2932051878509133, -0.10437900041836466, -0.23309585686534817, 0.17923056005045426, -0.11172785211441129, -0.26306834704307624, 0.048913462455709315, 0.22628957720819948, 0.19052540640844856, -0.0837595165967075, 0.11436734258516713, -0.13678782788473506, 0.052495533178105604, 0.1268523208537074, 0.05106075471510764, 0.09628583666283724, 0.07678620478268279, 0.13358708304288083, 0.18352870204280194, 0.01634930028190273, -0.07655009017650817, -0.38474029047024805, -0.24912762919137643, -0.12238516383479502, 0.1483081152965856, -0.1305832216447777, -0.19102913998933727, 0.40869504196006196, 0.034575285086798115, 0.18767196231326738, 0.10900764661126358, 0.18649927013402068, 0.07583056327204632, -0.012390829276206881, 0.015930210413454576, 0.16211606505080559, 0.19794609129082325, 0.09025378462446984, -0.08848455305709395, 0.050606858074600095, 0.17817963510318552] |
708.345 | Mediation of Long-Range Attraction Selectively between
Negatively-Charged Colloids on Surfaces by Solvation | We propose a mean-field analytical model to account for the observed
asymmetry in the ability to form long-range attraction by the negatively
charged colloidal particles and not their equivalently charged positive
counterpart. We conjecture that this asymmetry is due to solvation effects, and
we phenomenologically capture its physics by considering the relative strength
of this water-induced short-range repulsion between the different charge
species. We then apply our model to the colloidal system of negatively charged
disks that are neutralized by a sea of counterions and strongly absorbed to an
interface in a compressible binary system. We demonstrate the resulting
coexistence between a dilute isotropic ionic phase and a condensed hexagonal
lattice phase as a function of density and interaction strength.
| cond-mat.soft cond-mat.mtrl-sci | we propose a meanfield analytical model to account for the observed asymmetry in the ability to form longrange attraction by the negatively charged colloidal particles and not their equivalently charged positive counterpart we conjecture that this asymmetry is due to solvation effects and we phenomenologically capture its physics by considering the relative strength of this waterinduced shortrange repulsion between the different charge species we then apply our model to the colloidal system of negatively charged disks that are neutralized by a sea of counterions and strongly absorbed to an interface in a compressible binary system we demonstrate the resulting coexistence between a dilute isotropic ionic phase and a condensed hexagonal lattice phase as a function of density and interaction strength | [['we', 'propose', 'a', 'meanfield', 'analytical', 'model', 'to', 'account', 'for', 'the', 'observed', 'asymmetry', 'in', 'the', 'ability', 'to', 'form', 'longrange', 'attraction', 'by', 'the', 'negatively', 'charged', 'colloidal', 'particles', 'and', 'not', 'their', 'equivalently', 'charged', 'positive', 'counterpart', 'we', 'conjecture', 'that', 'this', 'asymmetry', 'is', 'due', 'to', 'solvation', 'effects', 'and', 'we', 'phenomenologically', 'capture', 'its', 'physics', 'by', 'considering', 'the', 'relative', 'strength', 'of', 'this', 'waterinduced', 'shortrange', 'repulsion', 'between', 'the', 'different', 'charge', 'species', 'we', 'then', 'apply', 'our', 'model', 'to', 'the', 'colloidal', 'system', 'of', 'negatively', 'charged', 'disks', 'that', 'are', 'neutralized', 'by', 'a', 'sea', 'of', 'counterions', 'and', 'strongly', 'absorbed', 'to', 'an', 'interface', 'in', 'a', 'compressible', 'binary', 'system', 'we', 'demonstrate', 'the', 'resulting', 'coexistence', 'between', 'a', 'dilute', 'isotropic', 'ionic', 'phase', 'and', 'a', 'condensed', 'hexagonal', 'lattice', 'phase', 'as', 'a', 'function', 'of', 'density', 'and', 'interaction', 'strength']] | [-0.11789093418240858, 0.22481225229676055, -0.06094743051022912, 0.07350765722318707, 0.016270566211702923, -0.15084317175593848, 0.040787548385560514, 0.36410253022331746, -0.2554418533264349, -0.29730570927010075, -0.03267299442280394, -0.3156549892756933, -0.13265463996989033, 0.05028266044876849, 0.022369256506984434, -0.016797854367662998, -0.008502298494568095, -0.047054914288067566, -0.042745110474061224, -0.18641913008177652, 0.28949827891386426, 0.04861696664787208, 0.24834539912990294, 0.17229789212869945, 0.07264641453900064, 0.02870073951780796, 0.07333600523027901, 0.08447244556155056, -0.14490859373921314, 0.10091331613948569, 0.1878275768603392, -0.00782769056968391, 0.19348607698581569, -0.43600740213878453, -0.2126410935636765, 0.1313519727496896, 0.14095744158063706, 0.14218449871987104, -0.11225970156180362, -0.31267666270820577, 0.027570073087311662, -0.2065591989395519, -0.14545040321148311, -0.07289895119223123, 0.043963990633104306, 0.06588338806759567, -0.2651289704682616, 0.14274972750960538, 0.08144315683972915, 0.0014287212630733847, -0.11582254569608873, -0.06977757857918429, -0.050793392496416345, 0.09801839830664297, 0.08336397079207623, 0.012758484124788083, 0.18482374568120577, -0.14551556612132116, -0.05888812394890313, 0.41044881045818327, -0.07205186833355887, -0.2315984217139582, 0.23111856318234156, -0.1809743621580613, -0.05108914224353309, 0.17486867720338825, 0.18892154288090143, 0.09610653736939033, -0.15868700849969172, 0.05940538323823906, -0.03455938575498294, 0.2010532628900061, 0.021202820888720452, -0.012403642607387156, 0.2933963192782054, 0.1725057194067631, 0.022343797846891295, 0.17522941870071615, -0.07791951441819643, -0.13379026689023402, -0.2293541461539765, -0.16197189063144227, -0.17698495650353532, 0.018166705991340373, -0.077339979415774, -0.1946860156720504, 0.36230707207966284, 0.1326881808214239, 0.19045340796389307, -0.004605969873955474, 0.261093665426597, 0.061001533529876424, 0.005279122122738044, 0.013529609908194592, 0.251811370922951, 0.1493636557269686, 0.10622790266449253, -0.28020053282380103, 0.06229869038021813, 0.07073689636114674] |
708.3451 | Diophantine subsets of function fields of curves | We consider diophantine subsets of function fields of curves and show,
roughly speaking, that they are either very small or very large. In particular,
this implies that the ring of polynomials $k[t]$ is a not a diophantine subset
of the field of rational functions $k(t)$ for many fields $k$.
| math.NT math.AG | we consider diophantine subsets of function fields of curves and show roughly speaking that they are either very small or very large in particular this implies that the ring of polynomials kt is a not a diophantine subset of the field of rational functions kt for many fields k | [['we', 'consider', 'diophantine', 'subsets', 'of', 'function', 'fields', 'of', 'curves', 'and', 'show', 'roughly', 'speaking', 'that', 'they', 'are', 'either', 'very', 'small', 'or', 'very', 'large', 'in', 'particular', 'this', 'implies', 'that', 'the', 'ring', 'of', 'polynomials', 'kt', 'is', 'a', 'not', 'a', 'diophantine', 'subset', 'of', 'the', 'field', 'of', 'rational', 'functions', 'kt', 'for', 'many', 'fields', 'k']] | [-0.2529967817078744, 0.12382678786406712, -0.0912319161758131, 0.06957951514050364, -0.05408115561443324, -0.12708094738879983, 0.002580985379386313, 0.34121116724017325, -0.2995066008701616, -0.22099779759134566, 0.09569091908396127, -0.22827161073076482, -0.11433486410948847, 0.2574319802937383, -0.08897173298256737, -0.02653111036562798, 0.00976744246650107, 0.07531413827471588, -0.0742074927072782, -0.3050205807952324, 0.3909181295608988, -0.07422487148825004, 0.1435994400015595, 0.004459666420838663, 0.11949933987414958, -0.017834245873501107, 0.03358082082692762, 0.08344345707066204, -0.07333783281887454, 0.08363565707541241, 0.3005830320928778, 0.13134367756393492, 0.26078888925970817, -0.3729951870152537, -0.17605552964900828, 0.20099952033891968, 0.1347035047721726, 0.01882118172943592, -0.011372981431456854, -0.14740635247482936, 0.13657528571119265, -0.11116098385418252, -0.14326543579999435, -0.09172813497407704, 0.06736527073757761, 0.14957382529973984, -0.2853926157825912, -0.00022665359916127458, 0.11284904803947679, 0.12676135683432221, -0.028243916109204292, -0.14842920643942698, 0.07130649107109223, 0.049565862640928555, 0.05435047152556707, 0.09904533549573044, 0.08089572676856603, -0.17651702362416807, -0.04703229283723904, 0.4050791190404977, -0.09293618197647893, -0.18332290356712683, 0.17864602551396405, -0.25828584859489784, -0.16808473834843965, 0.18712029910209227, 0.11675879056090299, 0.1730005200382094, -0.07276271642850977, 0.14617418463470186, -0.16353450278390427, 0.2059002671229216, 0.08464044183302595, 0.010051755006520115, 0.1926955260070307, 0.023210765599102085, 0.06558443268473564, 0.09476864408483082, 0.007102909716492405, -0.03407242343932086, -0.32287332027846455, -0.15204960679901497, -0.19545009412935802, 0.10415820183015038, -0.10772788617730245, -0.2434224336579138, 0.37540869908977526, 0.053386291992679545, 0.24368974106500343, 0.06999593307929379, 0.1895488556854579, 0.1111741037659195, 0.06523885253854857, 0.10841195573270017, 0.18322809763746906, 0.15303721775452853, 0.02337757887660849, -0.10450033312283304, -0.0312554218369175, 0.03800548067582505] |
708.3452 | Scattering on D3-branes | In a direct open string approach we analyze scattering of massless states on
a stack of D3-branes. First we construct vertex operators on the D-branes. The
4+6 splitting for the fermionic part is made possible by inserting
appropriately defined projection operators. With the vertex operators
constructed we compute various tree amplitudes. The results are then compared
with the corresponding field theory computations of the $\N=4$ SYM with
$\a'$-corrections: agreements are found. We comment on applications to AdS/CFT.
| hep-th | in a direct open string approach we analyze scattering of massless states on a stack of d3branes first we construct vertex operators on the dbranes the 46 splitting for the fermionic part is made possible by inserting appropriately defined projection operators with the vertex operators constructed we compute various tree amplitudes the results are then compared with the corresponding field theory computations of the n4 sym with acorrections agreements are found we comment on applications to adscft | [['in', 'a', 'direct', 'open', 'string', 'approach', 'we', 'analyze', 'scattering', 'of', 'massless', 'states', 'on', 'a', 'stack', 'of', 'd3branes', 'first', 'we', 'construct', 'vertex', 'operators', 'on', 'the', 'dbranes', 'the', '46', 'splitting', 'for', 'the', 'fermionic', 'part', 'is', 'made', 'possible', 'by', 'inserting', 'appropriately', 'defined', 'projection', 'operators', 'with', 'the', 'vertex', 'operators', 'constructed', 'we', 'compute', 'various', 'tree', 'amplitudes', 'the', 'results', 'are', 'then', 'compared', 'with', 'the', 'corresponding', 'field', 'theory', 'computations', 'of', 'the', 'n4', 'sym', 'with', 'acorrections', 'agreements', 'are', 'found', 'we', 'comment', 'on', 'applications', 'to', 'adscft']] | [-0.14543414347817338, 0.15502629099309592, -0.039691625352899884, 0.10831292237210284, -0.04723138252187422, -0.11802968610764335, 0.03730873082684794, 0.36726108293882326, -0.1805774264135643, -0.2449938855501578, 0.10807863434647995, -0.3372895723993057, -0.14887718659041352, 0.1281793100244709, -0.02221354014718121, 0.061279061317786966, 0.06095029225597452, 0.05441138255838795, -0.10085374352255665, -0.2834916408066515, 0.38489307658624294, -0.034291832861000376, 0.2508724874780072, 0.08819110032575402, 0.09119668916652077, 0.05174678562233519, -0.07650158012677964, 0.005905772566620726, -0.11295278333617668, 0.15873302394557917, 0.24169653625913748, 0.06390352137264256, 0.10433436868908375, -0.4851652159551649, -0.13395924607634938, 0.0421529452218429, 0.14710970621519281, 0.15731016949039736, 0.0012551170151901285, -0.28646616578886386, 0.07516876196390704, -0.16578984107381026, -0.15685601724850895, -0.07760007498712328, 0.00968926197291646, -0.05584755654164933, -0.23102445331843277, -0.03386804742714096, -0.056493596149314394, 0.01828337895475622, -0.041424612713040244, -0.11542114151004505, -0.053612579541023525, 0.08736966365311098, 0.03217693246695394, 0.06396201806216452, 0.11555349165696259, -0.1592145573445841, -0.19751384127027305, 0.3167062493402658, -0.1017727683157366, -0.22463227999641708, 0.15030634310096502, -0.11753077007903669, -0.13297580957020583, 0.035225948888661436, 0.1047301629778782, 0.17211042061497114, -0.13135338366632104, 0.21301570142570295, -0.04939958249757949, 0.09338652735612796, 0.1291734019392415, 0.044718843915401714, 0.19242708047998971, 0.11932844948023558, 0.041358426047832166, 0.18632079637915777, -0.027177208302371008, -0.10106969262108721, -0.38796833576634526, -0.08524095634684752, -0.12351524508803298, 0.07089211546056169, -0.10382108470405096, -0.18135495456915937, 0.3890009986199929, 0.13056474300346485, 0.24044104442490558, 0.06275395560078323, 0.21406897510352887, 0.17264365134025483, 0.09753271725371872, 0.07906524960784928, 0.20281847832283298, 0.17814272921838747, 0.052195612371801155, -0.22342490957587297, -0.11108605454577819, 0.2049563912993395] |
708.3453 | Asymptotic behavior of the rate of adaptation | We consider the accumulation of beneficial and deleterious mutations in large
asexual populations. The rate of adaptation is affected by the total mutation
rate, proportion of beneficial mutations and population size $N$. We show that
regardless of mutation rates, as long as the proportion of beneficial mutations
is strictly positive, the adaptation rate is at least
$\mathcal{O}(\log^{1-\delta}N)$ where $\delta$ can be any small positive
number, if the population size is sufficiently large. This shows that if the
genome is modeled as continuous, there is no limit to natural selection, that
is, the rate of adaptation grows in $N$ without bound.
| math.PR | we consider the accumulation of beneficial and deleterious mutations in large asexual populations the rate of adaptation is affected by the total mutation rate proportion of beneficial mutations and population size n we show that regardless of mutation rates as long as the proportion of beneficial mutations is strictly positive the adaptation rate is at least mathcalolog1deltan where delta can be any small positive number if the population size is sufficiently large this shows that if the genome is modeled as continuous there is no limit to natural selection that is the rate of adaptation grows in n without bound | [['we', 'consider', 'the', 'accumulation', 'of', 'beneficial', 'and', 'deleterious', 'mutations', 'in', 'large', 'asexual', 'populations', 'the', 'rate', 'of', 'adaptation', 'is', 'affected', 'by', 'the', 'total', 'mutation', 'rate', 'proportion', 'of', 'beneficial', 'mutations', 'and', 'population', 'size', 'n', 'we', 'show', 'that', 'regardless', 'of', 'mutation', 'rates', 'as', 'long', 'as', 'the', 'proportion', 'of', 'beneficial', 'mutations', 'is', 'strictly', 'positive', 'the', 'adaptation', 'rate', 'is', 'at', 'least', 'mathcalolog1deltan', 'where', 'delta', 'can', 'be', 'any', 'small', 'positive', 'number', 'if', 'the', 'population', 'size', 'is', 'sufficiently', 'large', 'this', 'shows', 'that', 'if', 'the', 'genome', 'is', 'modeled', 'as', 'continuous', 'there', 'is', 'no', 'limit', 'to', 'natural', 'selection', 'that', 'is', 'the', 'rate', 'of', 'adaptation', 'grows', 'in', 'n', 'without', 'bound']] | [-0.1419739303357824, 0.19863147201543355, 0.017739064370592434, 0.08854681791295532, 0.004101861047210416, -0.181509359697388, 0.11255289689929347, 0.3436964187357161, -0.2710853860421915, -0.23173924524224165, 0.09791270091969784, -0.21828790110620586, -0.16812404676462817, 0.16251290235856566, -0.13081430809835742, -0.07898612471880635, 0.1032860432492776, 0.07726691160915476, 0.08771334574181548, -0.3220672204742453, 0.29191837405240295, 0.08220515011885025, 0.26710326404009727, 0.024948355544245605, 0.10342483534101359, -0.009506907577466483, -0.012131029721161332, 0.04733114019788877, -0.09923701329535106, 0.012458950314068734, 0.26716310903429985, 0.2019876342577239, 0.3889509340127309, -0.34764179893101405, -0.17000982468251627, 0.23113996347393653, 0.21368630864713906, 0.18988389307350823, -0.0727954138390193, -0.15203324852821729, 0.1642810895667421, -0.1323122587739937, -0.12275752353227952, 0.014049198469053012, 0.09894316821274432, 0.07380381156925601, -0.32996115996267156, 0.13121120325839994, 0.06745027254025142, 0.05859987270510332, -0.020717801958924593, -0.1520816262933717, -0.09377333479039747, 0.18848195193674078, 0.12803126797150594, 0.04174331833156898, 0.15758433543860612, -0.12674523353567252, -0.05885987877469472, 0.29746116607948536, -0.09293315969783851, -0.22670522985058, 0.22632226099100228, -0.21395516181082436, -0.09047838607144476, 0.16412314442880074, 0.16752240717448671, 0.13803654316944455, -0.11344802369260126, 0.10639093196221787, -0.025886693287339776, 0.2283611447889019, 0.10117588829098627, 0.030759123820726843, 0.16492412411466692, 0.2190281690211233, 0.12648752981778047, 0.1113189835785747, -0.10537328350480006, -0.06904249112451016, -0.2557036429267339, -0.12730629335573845, -0.2129436131646725, 0.12371687403870653, -0.1366671854250881, -0.14582140708925448, 0.2792721659866999, 0.08963039074260083, 0.21920445894544963, 0.14635366132727476, 0.22358549739977326, 0.12268961570108065, 0.13925258600802132, 0.047307847984925364, 0.12127552108105386, 0.02953377119006796, -0.0038939903330321266, -0.31968598694286565, 0.21513493664826105, 0.012777131442403928] |
708.3454 | First-person visualizations of the special and general theory of
relativity | Visualizations that adopt a first-person point of view allow observation and,
in the case of interactive simulations, experimentation with relativistic
scenes. This paper gives examples of three types of first-person
visualizations: watching objects that move at nearly the speed of light, being
a high-speed observer looking at a static environment and having a look-around
near a compact object. I illustrate and explain the main aspects of the visual
observations, outline their use in teaching relativity and report on teaching
experiences. For teaching purposes, our visualization work is available on the
web site http://www.spacetimetravel.org and its German counterpart
http://www.tempolimit-lichtgeschwindigkeit.de . This paper assumes some basic
knowledge about relativity on the part of the reader. It addresses instructors
of physics at the undergraduate and advanced secondary school level as well as
their students.
| physics.ed-ph | visualizations that adopt a firstperson point of view allow observation and in the case of interactive simulations experimentation with relativistic scenes this paper gives examples of three types of firstperson visualizations watching objects that move at nearly the speed of light being a highspeed observer looking at a static environment and having a lookaround near a compact object i illustrate and explain the main aspects of the visual observations outline their use in teaching relativity and report on teaching experiences for teaching purposes our visualization work is available on the web site httpwwwspacetimetravelorg and its german counterpart httpwwwtempolimitlichtgeschwindigkeitde this paper assumes some basic knowledge about relativity on the part of the reader it addresses instructors of physics at the undergraduate and advanced secondary school level as well as their students | [['visualizations', 'that', 'adopt', 'a', 'firstperson', 'point', 'of', 'view', 'allow', 'observation', 'and', 'in', 'the', 'case', 'of', 'interactive', 'simulations', 'experimentation', 'with', 'relativistic', 'scenes', 'this', 'paper', 'gives', 'examples', 'of', 'three', 'types', 'of', 'firstperson', 'visualizations', 'watching', 'objects', 'that', 'move', 'at', 'nearly', 'the', 'speed', 'of', 'light', 'being', 'a', 'highspeed', 'observer', 'looking', 'at', 'a', 'static', 'environment', 'and', 'having', 'a', 'lookaround', 'near', 'a', 'compact', 'object', 'i', 'illustrate', 'and', 'explain', 'the', 'main', 'aspects', 'of', 'the', 'visual', 'observations', 'outline', 'their', 'use', 'in', 'teaching', 'relativity', 'and', 'report', 'on', 'teaching', 'experiences', 'for', 'teaching', 'purposes', 'our', 'visualization', 'work', 'is', 'available', 'on', 'the', 'web', 'site', 'httpwwwspacetimetravelorg', 'and', 'its', 'german', 'counterpart', 'httpwwwtempolimitlichtgeschwindigkeitde', 'this', 'paper', 'assumes', 'some', 'basic', 'knowledge', 'about', 'relativity', 'on', 'the', 'part', 'of', 'the', 'reader', 'it', 'addresses', 'instructors', 'of', 'physics', 'at', 'the', 'undergraduate', 'and', 'advanced', 'secondary', 'school', 'level', 'as', 'well', 'as', 'their', 'students']] | [-0.06396684421298023, 0.06153106815539874, -0.12287413948215545, 0.06819622517617133, -0.14745193076176713, -0.17156337238131808, 0.04189391095838241, 0.38850782922684, -0.19693905317511123, -0.3643125665875582, 0.08824890143273828, -0.30086337551474573, -0.1549460527451279, 0.20922560421033548, -0.11723243873566389, -0.060177279263287066, 0.1064871323438218, 0.066887181565667, -0.032162519422574684, -0.24872984218482788, 0.31743593278538007, 0.10981632611857584, 0.24611032547679945, 0.009811208418642098, 0.13378560104980491, 0.01888315568928822, -0.08582584469158273, -0.021269285754085734, -0.08494768985244894, 0.13127868426247286, 0.32833968800349306, 0.20059296945020413, 0.3336604040868294, -0.3995603162938586, -0.16520370073759785, -0.03109011141081842, 0.08489547704633038, 0.10724523797913348, -0.1043324623121477, -0.336438155759914, 0.03284072739501985, -0.16754966105979222, -0.1442596978830317, -0.035519466968253255, -0.005442292673083452, -0.006901521790915957, -0.1558844883997853, -0.0334765206126926, 0.06410803074608198, 0.17288014609903957, -0.05193065564560059, -0.09771367742214351, 0.04332819097102261, 0.19953044491121547, 0.05709988445652506, 0.020074438824219845, 0.16591086705716757, -0.18681117716925935, -0.15322255481822558, 0.43342556170402813, 0.013956243061245634, -0.1429534728782108, 0.2603145118820696, -0.14901908403620698, -0.12558710011295401, 0.06094423781614751, 0.2281958111651385, 0.12736068148739063, -0.12414056844292926, 0.05535284025469222, -0.015141558047169103, 0.15749665167599092, 0.06853603685561281, -0.009109478214612374, 0.2780967381406719, 0.19822721355236494, -0.005498440717705167, 0.0823647231544153, -0.057659243122459604, -0.07303397003382157, -0.340168548332384, -0.19295356026358115, -0.14326300414708945, 0.011923407849210959, -0.05384190891300722, -0.11159180580781629, 0.39044821459370166, 0.19454626421659038, 0.10668821817693802, 0.05261693654778915, 0.3272639965889259, 8.26786424463185e-05, -0.009024546265405102, 0.08896613521322322, 0.20544293280086445, 0.03208998293400957, 0.23527185055964556, -0.12066715526967668, 0.04488943237811327, 0.022733086661005823] |
708.3455 | On the Range of Validity of the Dipole Picture | We derive correlated bounds on ratios of deep inelastic structure functions
from the dipole picture of photon-hadron scattering at high energies. In
particular we consider ratios of the longitudinal structure function, the total
structure function and the charm part of the latter. We also consider ratios of
total structure functions taken at the same energy but at three different
photon virtualities. It is shown that by confronting these bounds with
experimental data we can significantly constrain the range of validity of the
dipole picture.
| hep-ph hep-ex | we derive correlated bounds on ratios of deep inelastic structure functions from the dipole picture of photonhadron scattering at high energies in particular we consider ratios of the longitudinal structure function the total structure function and the charm part of the latter we also consider ratios of total structure functions taken at the same energy but at three different photon virtualities it is shown that by confronting these bounds with experimental data we can significantly constrain the range of validity of the dipole picture | [['we', 'derive', 'correlated', 'bounds', 'on', 'ratios', 'of', 'deep', 'inelastic', 'structure', 'functions', 'from', 'the', 'dipole', 'picture', 'of', 'photonhadron', 'scattering', 'at', 'high', 'energies', 'in', 'particular', 'we', 'consider', 'ratios', 'of', 'the', 'longitudinal', 'structure', 'function', 'the', 'total', 'structure', 'function', 'and', 'the', 'charm', 'part', 'of', 'the', 'latter', 'we', 'also', 'consider', 'ratios', 'of', 'total', 'structure', 'functions', 'taken', 'at', 'the', 'same', 'energy', 'but', 'at', 'three', 'different', 'photon', 'virtualities', 'it', 'is', 'shown', 'that', 'by', 'confronting', 'these', 'bounds', 'with', 'experimental', 'data', 'we', 'can', 'significantly', 'constrain', 'the', 'range', 'of', 'validity', 'of', 'the', 'dipole', 'picture']] | [-0.09242190017886016, 0.14809518826327153, -0.07365500788381767, 0.13812352216475465, 0.002748388663998672, -0.041050425120851115, 0.037086594957924844, 0.3835255404202534, -0.23406407012260474, -0.33196049922012855, -0.010867392595779771, -0.3039461623189882, -0.057151671986849534, 0.17006188521017543, 0.08643573101255156, 0.04023723753302225, 0.05100813194266742, -0.0017516873444297484, -0.09944278796458439, -0.19931202705040396, 0.35336521014549016, 0.07448285536728301, 0.30626708897207644, 0.16579763408628337, 0.07051295533338339, 0.06018987150275193, -0.03551559711229943, -0.012254320184833236, -0.14945660052321078, 0.09879395399530906, 0.20954679746535562, 0.0916462878314113, 0.15389731457357161, -0.4092386345977762, -0.14222929847338014, 0.08478398149877432, 0.14652109737064511, 0.0763996461783314, 0.011639698700968265, -0.21943421748333744, 0.052167478026863785, -0.16555320350675, -0.14715917126297773, -0.07011500208838177, -0.01942683887180118, 0.03572502692363092, -0.2662324750978899, 0.09432583555843892, -0.03076120814685488, 0.002929258936395248, -0.1093731386853116, -0.20597051898948848, -0.015761564629861995, 0.06886805778014518, 0.0653267882769883, 0.01458427011744962, 0.12317569620375123, -0.17913235673525682, -0.08358115691780335, 0.3517847170920244, -0.0816108862581175, -0.16944094673020854, 0.15691057315451049, -0.2622698071534701, -0.16815097190417527, 0.14475476296917936, 0.2203571748409775, 0.10935524673688979, -0.14267303634135584, 0.07927062350167294, -0.04171711673206162, 0.15914394347263233, 0.04718369676543045, 0.08871554984805352, 0.19969764741004578, 0.14434462690093955, -0.004051605106464454, 0.13467819282474616, -0.1263816264884857, -0.06834266283771112, -0.33614193410834386, -0.05481782551699629, -0.1520795213901216, 0.0498991362927925, -0.11158705289857435, -0.08956672930695017, 0.37614686756084365, 0.09578819002048736, 0.26444125205411445, 0.0714627628192483, 0.30137161161040976, 0.17273685124347962, 0.09840836564988076, 0.049963085823470636, 0.2974216788120213, 0.1412116346099148, 0.10048684156832419, -0.23449240554223902, 0.07649275127221786, 0.00890423703960897] |
708.3456 | Index theorems for quantum graphs | In geometric analysis, an index theorem relates the difference of the numbers
of solutions of two differential equations to the topological structure of the
manifold or bundle concerned, sometimes using the heat kernels of two
higher-order differential operators as an intermediary. In this paper, the case
of quantum graphs is addressed. A quantum graph is a graph considered as a
(singular) one-dimensional variety and equipped with a second-order
differential Hamiltonian H (a "Laplacian") with suitable conditions at
vertices. For the case of scale-invariant vertex conditions (i.e., conditions
that do not mix the values of functions and of their derivatives), the constant
term of the heat-kernel expansion is shown to be proportional to the trace of
the internal scattering matrix of the graph. This observation is placed into
the index-theory context by factoring the Laplacian into two first-order
operators, H =A*A, and relating the constant term to the index of A. An
independent consideration provides an index formula for any differential
operator on a finite quantum graph in terms of the vertex conditions. It is
found also that the algebraic multiplicity of 0 as a root of the secular
determinant of H is the sum of the nullities of A and A*.
| math.SP math-ph math.MP | in geometric analysis an index theorem relates the difference of the numbers of solutions of two differential equations to the topological structure of the manifold or bundle concerned sometimes using the heat kernels of two higherorder differential operators as an intermediary in this paper the case of quantum graphs is addressed a quantum graph is a graph considered as a singular onedimensional variety and equipped with a secondorder differential hamiltonian h a laplacian with suitable conditions at vertices for the case of scaleinvariant vertex conditions ie conditions that do not mix the values of functions and of their derivatives the constant term of the heatkernel expansion is shown to be proportional to the trace of the internal scattering matrix of the graph this observation is placed into the indextheory context by factoring the laplacian into two firstorder operators h aa and relating the constant term to the index of a an independent consideration provides an index formula for any differential operator on a finite quantum graph in terms of the vertex conditions it is found also that the algebraic multiplicity of 0 as a root of the secular determinant of h is the sum of the nullities of a and a | [['in', 'geometric', 'analysis', 'an', 'index', 'theorem', 'relates', 'the', 'difference', 'of', 'the', 'numbers', 'of', 'solutions', 'of', 'two', 'differential', 'equations', 'to', 'the', 'topological', 'structure', 'of', 'the', 'manifold', 'or', 'bundle', 'concerned', 'sometimes', 'using', 'the', 'heat', 'kernels', 'of', 'two', 'higherorder', 'differential', 'operators', 'as', 'an', 'intermediary', 'in', 'this', 'paper', 'the', 'case', 'of', 'quantum', 'graphs', 'is', 'addressed', 'a', 'quantum', 'graph', 'is', 'a', 'graph', 'considered', 'as', 'a', 'singular', 'onedimensional', 'variety', 'and', 'equipped', 'with', 'a', 'secondorder', 'differential', 'hamiltonian', 'h', 'a', 'laplacian', 'with', 'suitable', 'conditions', 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708.3457 | Enhanced Group Analysis and Exact Solutions of Variable Coefficient
Semilinear Diffusion Equations with a Power Source | A new approach to group classification problems and more general
investigations on transformational properties of classes of differential
equations is proposed. It is based on mappings between classes of differential
equations, generated by families of point transformations. A class of variable
coefficient (1+1)-dimensional semilinear reaction-diffusion equations of the
general form $f(x)u_t=(g(x)u_x)_x+h(x)u^m$ ($m\ne0,1$) is studied from the
symmetry point of view in the framework of the approach proposed. The singular
subclass of the equations with $m=2$ is singled out. The group classifications
of the entire class, the singular subclass and their images are performed with
respect to both the corresponding (generalized extended) equivalence groups and
all point transformations. The set of admissible transformations of the imaged
class is exhaustively described in the general case $m\ne2$. The procedure of
classification of nonclassical symmetries, which involves mappings between
classes of differential equations, is discussed. Wide families of new exact
solutions are also constructed for equations from the classes under
consideration by the classical method of Lie reductions and by generation of
new solutions from known ones for other equations with point transformations of
different kinds (such as additional equivalence transformations and mappings
between classes of equations).
| math-ph math.MP nlin.SI | a new approach to group classification problems and more general investigations on transformational properties of classes of differential equations is proposed it is based on mappings between classes of differential equations generated by families of point transformations a class of variable coefficient 11dimensional semilinear reactiondiffusion equations of the general form fxu_tgxu_x_xhxum mne01 is studied from the symmetry point of view in the framework of the approach proposed the singular subclass of the equations with m2 is singled out the group classifications of the entire class the singular subclass and their images are performed with respect to both the corresponding generalized extended equivalence groups and all point transformations the set of admissible transformations of the imaged class is exhaustively described in the general case mne2 the procedure of classification of nonclassical symmetries which involves mappings between classes of differential equations is discussed wide families of new exact solutions are also constructed for equations from the classes under consideration by the classical method of lie reductions and by generation of new solutions from known ones for other equations with point transformations of different kinds such as additional equivalence transformations and mappings between classes of equations | [['a', 'new', 'approach', 'to', 'group', 'classification', 'problems', 'and', 'more', 'general', 'investigations', 'on', 'transformational', 'properties', 'of', 'classes', 'of', 'differential', 'equations', 'is', 'proposed', 'it', 'is', 'based', 'on', 'mappings', 'between', 'classes', 'of', 'differential', 'equations', 'generated', 'by', 'families', 'of', 'point', 'transformations', 'a', 'class', 'of', 'variable', 'coefficient', '11dimensional', 'semilinear', 'reactiondiffusion', 'equations', 'of', 'the', 'general', 'form', 'fxu_tgxu_x_xhxum', 'mne01', 'is', 'studied', 'from', 'the', 'symmetry', 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708.3458 | First Law, Counterterms and Kerr-AdS_5 Black Holes | We apply the counterterm subtraction technique to calculate the action and
other quantities for the Kerr--AdS black hole in five dimensions using two
boundary metrics; the Einstein universe and rotating Einstein universe with
arbitrary angular velocity. In both cases, the resulting thermodynamic
quantities satisfy the first law of thermodynamics. We point out that the
reason for the violation of the first law in previous calculations is that the
rotating Einstein universe, used as a boundary metric, was rotating with an
angular velocity that depends on the black hole rotation parameter. Using a new
coordinate system with a boundary metric that has an arbitrary angular
velocity, one can show that the resulting physical quantities satisfy the first
law.
| hep-th | we apply the counterterm subtraction technique to calculate the action and other quantities for the kerrads black hole in five dimensions using two boundary metrics the einstein universe and rotating einstein universe with arbitrary angular velocity in both cases the resulting thermodynamic quantities satisfy the first law of thermodynamics we point out that the reason for the violation of the first law in previous calculations is that the rotating einstein universe used as a boundary metric was rotating with an angular velocity that depends on the black hole rotation parameter using a new coordinate system with a boundary metric that has an arbitrary angular velocity one can show that the resulting physical quantities satisfy the first law | [['we', 'apply', 'the', 'counterterm', 'subtraction', 'technique', 'to', 'calculate', 'the', 'action', 'and', 'other', 'quantities', 'for', 'the', 'kerrads', 'black', 'hole', 'in', 'five', 'dimensions', 'using', 'two', 'boundary', 'metrics', 'the', 'einstein', 'universe', 'and', 'rotating', 'einstein', 'universe', 'with', 'arbitrary', 'angular', 'velocity', 'in', 'both', 'cases', 'the', 'resulting', 'thermodynamic', 'quantities', 'satisfy', 'the', 'first', 'law', 'of', 'thermodynamics', 'we', 'point', 'out', 'that', 'the', 'reason', 'for', 'the', 'violation', 'of', 'the', 'first', 'law', 'in', 'previous', 'calculations', 'is', 'that', 'the', 'rotating', 'einstein', 'universe', 'used', 'as', 'a', 'boundary', 'metric', 'was', 'rotating', 'with', 'an', 'angular', 'velocity', 'that', 'depends', 'on', 'the', 'black', 'hole', 'rotation', 'parameter', 'using', 'a', 'new', 'coordinate', 'system', 'with', 'a', 'boundary', 'metric', 'that', 'has', 'an', 'arbitrary', 'angular', 'velocity', 'one', 'can', 'show', 'that', 'the', 'resulting', 'physical', 'quantities', 'satisfy', 'the', 'first', 'law']] | [-0.15291551055593622, 0.09484449722908604, -0.13535032450802562, 0.058785437730650425, -0.0904518694927295, -0.12634019476847133, -0.03132536784451232, 0.30251009797311235, -0.1691165145399033, -0.27034648853696436, 0.07873156412532474, -0.2916156163470995, -0.08138719628342132, 0.2018579079821292, -0.03656225895875285, 0.06285444777618107, -0.012707091676883208, 0.0593877204029192, -0.1236727951058688, -0.2240924397881469, 0.41338418423333484, 0.057106301264089145, 0.25401051207166964, -0.007289995849291738, 0.15514726860400957, -0.05579763067623553, 0.002426443892156976, 0.10221937450722522, -0.16713726182591865, 0.035551114338171534, 0.15350142136837044, 0.11496108253367054, 0.18949405468490899, -0.3726400381957109, -0.21839941333597288, 0.07686556001695302, 0.13007277955547866, 0.16039017295767355, -0.04843158079967953, -0.24806602062004754, 0.03536889231246379, -0.18952566201392657, -0.2041009215431081, -0.09622805526591519, 0.05409889600168054, -0.013126811892208125, -0.2189692596021371, 0.12162013488431644, 0.036358729076500125, -0.024583854240976755, -0.16103324810297698, -0.03491027064872189, -0.04052287375785283, 0.12681963965376344, 0.10948253940575971, 0.04318261634096758, 0.16469605622860867, -0.0661608733681556, -0.07800161290085977, 0.39743463709377325, -0.10648609231162466, -0.2556168650332679, 0.1134881092987668, -0.22494021973485112, -0.13955326622718164, 0.061566255622519515, 0.11252211873682263, 0.17023241968867, -0.1847266276510289, 0.09636063979934646, -0.025202620333721303, 0.18475803599268015, 0.11997170996271138, 0.032118943388549946, 0.2925328948797706, 0.06471887612556163, 0.043775199302551776, 0.13038328502567995, -0.10655844482219118, -0.10623302891786791, -0.35936075187901145, -0.1802395257509799, -0.17731732466361588, 0.07785390699322088, -0.20142401634634902, -0.15662396914906737, 0.3001110578895125, 0.13326711425732854, 0.1716246149645975, 0.04541543901412406, 0.2855857550285948, 0.10779206576840714, 0.05565219046150008, 0.13743743824605376, 0.32938424262226135, 0.1231204505977977, 0.16278593765937874, -0.2680803306806737, -0.031486072286995306, 0.13317374907967308] |
708.3459 | Bulk viscosity of gauge theory plasma at strong coupling | We propose a lower bound on bulk viscosity of strongly coupled gauge theory
plasmas. Using explicit example of the N=2^* gauge theory plasma we show that
the bulk viscosity remains finite at a critical point with a divergent specific
heat. We present an estimate for the bulk viscosity of QGP plasma at RHIC.
| hep-th | we propose a lower bound on bulk viscosity of strongly coupled gauge theory plasmas using explicit example of the n2 gauge theory plasma we show that the bulk viscosity remains finite at a critical point with a divergent specific heat we present an estimate for the bulk viscosity of qgp plasma at rhic | [['we', 'propose', 'a', 'lower', 'bound', 'on', 'bulk', 'viscosity', 'of', 'strongly', 'coupled', 'gauge', 'theory', 'plasmas', 'using', 'explicit', 'example', 'of', 'the', 'n2', 'gauge', 'theory', 'plasma', 'we', 'show', 'that', 'the', 'bulk', 'viscosity', 'remains', 'finite', 'at', 'a', 'critical', 'point', 'with', 'a', 'divergent', 'specific', 'heat', 'we', 'present', 'an', 'estimate', 'for', 'the', 'bulk', 'viscosity', 'of', 'qgp', 'plasma', 'at', 'rhic']] | [-0.13177081010357108, 0.265662022192253, -0.13447879957702924, 0.012873559364310975, -0.03494349034186804, -0.12485995517059598, 0.015589564977178597, 0.3014772434033594, -0.21476713701520325, -0.2284928727543579, 0.037717809276831035, -0.301411790272467, -0.06406442755240209, 0.1386552106343069, 0.01751735112366249, 0.06649862416088581, -0.007287411862668002, 0.0589841236623953, -0.09196791505739796, -0.20161059783455335, 0.33205751149985446, 0.045333127517534315, 0.269411003058952, 0.18533599761507982, 0.10630257577055467, -0.055817267672984665, 0.016945265150049103, 0.06683185897802688, -0.23726983727540774, 0.06777507534145184, 0.22544598542065974, -0.03596428170237901, 0.21675918820612836, -0.4415430658549633, -0.26936261693261704, 0.0047598061116658295, 0.12054802540619418, 0.13304443840148314, -0.07549304196408968, -0.13707839757344634, 0.04852034427436455, -0.17864850005310662, -0.1550924320274718, -0.084947882782457, -0.007383421485154134, -0.09401894476756735, -0.29872490226660137, 0.17121292720988113, -0.020601282054382674, 0.059201599204174754, -0.10040079860262713, -0.11148192099172552, -0.07072539516847651, 0.01691122111460229, 0.07071526226464589, 0.0767347276658874, 0.19320215680197161, -0.23654409155319883, -0.05446794499063267, 0.3487324618716847, -0.1386872016701777, -0.17789961481994054, 0.2711008236620505, -0.1945000291222109, -0.1421668645662238, 0.139374597630692, 0.17641678147615408, 0.19457872027425832, -0.12734671313104765, 0.11276812551384967, -0.11003674232875402, 0.1385001611554301, 0.058786961742026626, 0.017702466658896434, 0.2381068464403726, 0.1828591216197413, 0.07222645110802127, 0.18023940383122777, -0.019332082665367227, -0.0002287630483789264, -0.41421891611842615, -0.1587283264390931, -0.1732367595903716, 0.08605039009016077, -0.1408814293472975, -0.22235357877359074, 0.3161374480938012, 0.17085634923637802, 0.14741448882334637, 0.017442808697386732, 0.2352129599817519, 0.18085624978719456, -0.0434704662107353, 0.1522884258367824, 0.25837445680825216, 0.14781513729326004, 0.13651915384843102, -0.3329893358332931, -0.05314870032411561, 0.17363370594761843] |
708.346 | First-principles study of a single-molecule magnet Mn_{12} monolayer on
the Au(111) surface | The electronic structure of a monolayer of single-molecule magnets Mn$_{12}$
on a Au(111) surface is studied using spin-polarized density-functional theory.
The Mn$_{12}$ molecules are oriented such that the magnetic easy axis is normal
to the surface, and the terminating ligands in the Mn$_{12}$ are replaced by
thiol groups (-SH) where the H atoms are lost upon adsorption onto the surface.
This sulfur-terminated Mn$_{12}$ molecule has a total magnetic moment of 18
$\mu_B$ in the ground state, in contrast to 20$\mu_B$ for the standard
Mn$_{12}$. The Mn$_{12}$ molecular orbitals broaden due to the interaction of
the molecule with the gold surface and the broadening is of the order of 0.1
eV. It is an order of magnitude less than the single-electron charging energy
of the molecule so the molecule is weakly bonded to the surface. Only electrons
with majority spin can be transferred from the surface to the sulfur-terminated
Mn$_{12}$ since the gold Fermi level is well above the majority lowest
unoccupied molecular orbital (LUMO) but below the minority LUMO. The amount of
the charge transfer is calculated to be 1.23 electrons, dominated by the tail
in the electronic distribution of the gold surface. A calculation of level
shift upon charging provides 0.28 electrons being transferred. The majority of
the charge transfer occurs at the S, C, and O atoms close to the surface. The
total magnetic moment also changes from 18 $\mu_B$ to 20 $\mu_B$, due to
rearrangements of the magnetic moments on the S and Mn atoms upon adsorption
onto the surface. The magnetic anisotropy barrier is computed including
spin-orbit interaction self-consistently in density-functional theory. The
barrier for the Mn$_{12}$ on the gold surface decreases by 6 K in comparison to
that for an isolated Mn$_{12}$ molecule.
| cond-mat.mtrl-sci | the electronic structure of a monolayer of singlemolecule magnets mn_12 on a au111 surface is studied using spinpolarized densityfunctional theory the mn_12 molecules are oriented such that the magnetic easy axis is normal to the surface and the terminating ligands in the mn_12 are replaced by thiol groups sh where the h atoms are lost upon adsorption onto the surface this sulfurterminated mn_12 molecule has a total magnetic moment of 18 mu_b in the ground state in contrast to 20mu_b for the standard mn_12 the mn_12 molecular orbitals broaden due to the interaction of the molecule with the gold surface and the broadening is of the order of 01 ev it is an order of magnitude less than the singleelectron charging energy of the molecule so the molecule is weakly bonded to the surface only electrons with majority spin can be transferred from the surface to the sulfurterminated mn_12 since the gold fermi level is well above the majority lowest unoccupied molecular orbital lumo but below the minority lumo the amount of the charge transfer is calculated to be 123 electrons dominated by the tail in the electronic distribution of the gold surface a calculation of level shift upon charging provides 028 electrons being transferred the majority of the charge transfer occurs at the s c and o atoms close to the surface the total magnetic moment also changes from 18 mu_b to 20 mu_b due to rearrangements of the magnetic moments on the s and mn atoms upon adsorption onto the surface the magnetic anisotropy barrier is computed including spinorbit interaction selfconsistently in densityfunctional theory the barrier for the mn_12 on the gold surface decreases by 6 k in comparison to that for an isolated mn_12 molecule | [['the', 'electronic', 'structure', 'of', 'a', 'monolayer', 'of', 'singlemolecule', 'magnets', 'mn_12', 'on', 'a', 'au111', 'surface', 'is', 'studied', 'using', 'spinpolarized', 'densityfunctional', 'theory', 'the', 'mn_12', 'molecules', 'are', 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'surface', 'the', 'magnetic', 'anisotropy', 'barrier', 'is', 'computed', 'including', 'spinorbit', 'interaction', 'selfconsistently', 'in', 'densityfunctional', 'theory', 'the', 'barrier', 'for', 'the', 'mn_12', 'on', 'the', 'gold', 'surface', 'decreases', 'by', '6', 'k', 'in', 'comparison', 'to', 'that', 'for', 'an', 'isolated', 'mn_12', 'molecule']] | [-0.11547203637545177, 0.18432332650000605, 0.015138278494736082, 0.028110760238773205, 0.028982339023302, -0.10087260277043178, 0.09923131937250952, 0.39279720392404943, -0.26528671476336424, -0.3477645790825287, -0.05112910997367611, -0.35670698585086746, -0.031783553657301684, 0.14220410742666245, 0.051603859680982536, -0.04878632292241315, 0.009597318645632057, 0.0105777169340862, -0.0767127140792773, -0.19948093720197088, 0.24868010469107774, 0.07320285807772164, 0.27126753501299966, 0.13207481224089862, 0.01166201114589185, -0.010687934034381454, 0.14428189826716686, -0.013965154886899287, -0.12157372109813558, 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708.3461 | Quaternion-Octonion Analyticity for Abelian and Non-Abelian Gauge
Theories of Dyons | Einstein- Schroedinger (ES) non-symmetric theory has been extended to
accommodate the Abelian and non-Abelian gauge theories of dyons in terms of the
quaternion-octonion metric realization. Corresponding covariant derivatives for
complex, quaternion and octonion spaces in internal gauge groups are shown to
describe the consistent field equations and generalized Dirac equation of
dyons. It is also shown that quaternion and octonion representations extend the
so-called unified theory of gravitation and electromagnetism to the Yang-Mill's
fields leading to two SU(2) gauge theories of internal spaces due to the
presence of electric and magnetic charges on dyons.
| hep-th | einstein schroedinger es nonsymmetric theory has been extended to accommodate the abelian and nonabelian gauge theories of dyons in terms of the quaternionoctonion metric realization corresponding covariant derivatives for complex quaternion and octonion spaces in internal gauge groups are shown to describe the consistent field equations and generalized dirac equation of dyons it is also shown that quaternion and octonion representations extend the socalled unified theory of gravitation and electromagnetism to the yangmills fields leading to two su2 gauge theories of internal spaces due to the presence of electric and magnetic charges on dyons | [['einstein', 'schroedinger', 'es', 'nonsymmetric', 'theory', 'has', 'been', 'extended', 'to', 'accommodate', 'the', 'abelian', 'and', 'nonabelian', 'gauge', 'theories', 'of', 'dyons', 'in', 'terms', 'of', 'the', 'quaternionoctonion', 'metric', 'realization', 'corresponding', 'covariant', 'derivatives', 'for', 'complex', 'quaternion', 'and', 'octonion', 'spaces', 'in', 'internal', 'gauge', 'groups', 'are', 'shown', 'to', 'describe', 'the', 'consistent', 'field', 'equations', 'and', 'generalized', 'dirac', 'equation', 'of', 'dyons', 'it', 'is', 'also', 'shown', 'that', 'quaternion', 'and', 'octonion', 'representations', 'extend', 'the', 'socalled', 'unified', 'theory', 'of', 'gravitation', 'and', 'electromagnetism', 'to', 'the', 'yangmills', 'fields', 'leading', 'to', 'two', 'su2', 'gauge', 'theories', 'of', 'internal', 'spaces', 'due', 'to', 'the', 'presence', 'of', 'electric', 'and', 'magnetic', 'charges', 'on', 'dyons']] | [-0.14851224517320938, 0.20669306892074368, -0.09140743951293383, 0.14637778802066448, -0.1630055127774385, -0.10835388095732382, -0.10820528591656067, 0.32149048718286954, -0.1670773177348236, -0.2656013922012867, 0.005788466647921249, -0.22460496537585525, -0.19496631040733228, 0.09316998955972017, -0.07391291555819755, 0.0019043848176110297, -0.08544587932943189, 0.10594628927139367, -0.13517655707100665, -0.2986460275492294, 0.34234171268589636, -0.03733865883662068, 0.28977200057000874, 0.02869400269589684, 0.16426963665265035, -0.015040106558676889, -0.01904089065229005, 0.003917237699150722, -0.03318900359644953, 0.11102196096660609, 0.23701323709510108, 0.0026974140919071247, 0.13263310422437227, -0.46242313988586053, -0.23197820823282955, 0.126356096224899, 0.14812967534910174, 0.08479156873704112, -0.007253584071765951, -0.3601441420812873, 0.05674807975029058, -0.18714105363618186, -0.18525561995363418, -0.16032199929171104, 0.04749564317357231, -0.03769474638071149, -0.23610656685691248, 0.06913341035133852, 0.005951152516261457, 0.0548200784152017, -0.15370665012581392, -0.10588363518918607, -0.07558715859170448, 0.019977734969096616, 0.14011475759399858, 0.057203500457306176, 0.09556618782671843, -0.1658933566229299, -0.17316641202295555, 0.43791144358568845, -0.04959832724590013, -0.282495830148617, 0.12390044171541453, -0.13700325030925128, -0.13957899056890227, 0.08229500519983629, 0.12334028504134968, 0.11809928703277887, -0.11178275493984209, 0.23908136616228148, -0.043533511707519595, 0.07750530136090288, 0.11331890692112055, 0.05020566891006967, 0.23177346380110433, -0.0181223441489992, 0.03781657302851214, 0.08972794740421182, 0.08281094312638124, -0.19099112293569054, -0.3823191133585382, -0.20212139365228607, -0.10807010522013173, 0.10708459529609597, -0.10582455334983062, -0.18107738870411536, 0.3717933742210586, 0.12423422392655878, 0.042448375928909224, 0.014666195889498959, 0.1524203495925015, 0.11694356129366032, 0.11566962949693838, 0.005282035434341177, 0.20750700493164836, 0.3684750463853174, 0.09042830458975971, -0.22370024446021528, -0.20346068467652584, 0.1931391470926873] |
708.3462 | Search for pulsed multi-TeV gamma rays from the Crab pulsar using the
Tibet-III air shower array | We searched for pulsed gamma-ray emissions from the Crab pulsar using data of
the Tibet-III air shower array from November 1999 through November 2005. No
evidence for the pulsed emissions was found in our analysis. Upper limits at
different energies were calculated for a $3 \sigma$ confidence level in the
energy range of multi-TeV to several hundred TeV.
| astro-ph | we searched for pulsed gammaray emissions from the crab pulsar using data of the tibetiii air shower array from november 1999 through november 2005 no evidence for the pulsed emissions was found in our analysis upper limits at different energies were calculated for a 3 sigma confidence level in the energy range of multitev to several hundred tev | [['we', 'searched', 'for', 'pulsed', 'gammaray', 'emissions', 'from', 'the', 'crab', 'pulsar', 'using', 'data', 'of', 'the', 'tibetiii', 'air', 'shower', 'array', 'from', 'november', '1999', 'through', 'november', '2005', 'no', 'evidence', 'for', 'the', 'pulsed', 'emissions', 'was', 'found', 'in', 'our', 'analysis', 'upper', 'limits', 'at', 'different', 'energies', 'were', 'calculated', 'for', 'a', '3', 'sigma', 'confidence', 'level', 'in', 'the', 'energy', 'range', 'of', 'multitev', 'to', 'several', 'hundred', 'tev']] | [-0.02899534219940161, 0.18412917267916531, -0.04018464185104802, 0.15814102823235865, -0.02101393596365534, -0.024193257482818746, 0.061572153747467134, 0.45825810064079947, -0.14341356036060587, -0.4712878327559808, 0.10839358306538056, -0.337628545255625, 0.055085815328719284, 0.29335943495469363, 0.08911359751725505, 0.03217269364615966, 0.14517001197512808, -0.06439953148043875, -0.03002993023857988, -0.14733959181843415, 0.15329487550329288, 0.16635593961811915, 0.23263641164220614, 0.1290891998736509, 0.10503725704520234, -0.0528098853939245, -0.04093067078240987, -0.12598010409494925, -0.09349898024911768, 0.055553504161472464, 0.26290735857288255, 0.11146957733957417, 0.12936065599707694, -0.4020334457143627, -0.2026074002617328, 0.09835279705645196, 0.062084873271142614, -0.014392371089719557, -0.023750492102659213, -0.3676711541825327, 0.04665438766623366, -0.2291586350183934, -0.14171173845835286, 0.12820842906286747, 0.025521524025705355, 0.015938703773607468, -0.2092895306935855, 0.05446273038677614, -0.041574983343738936, 0.13463704242593819, -0.09806811716407537, -0.1859647364211108, -0.018280639124488265, 0.05202287569609952, 0.08360844055704515, 0.0272765424336379, 0.11334792478812923, -0.06317212887044096, -0.1810399935869821, 0.30856469504792117, -0.08445949624453125, 0.04031872781443185, 0.1862297481455808, -0.22081206958130772, -0.24547360427195913, 0.3065127559841193, 0.2248386563331788, 0.02942568465168106, -0.22394668747638835, 0.08679761397572042, -0.03214564513222411, 0.2678107335553344, 0.1709385241606626, -0.047364108981002635, 0.2349607003852725, 0.15273707833819508, 0.008997443099987918, 0.16092491045529986, -0.310381049322414, 0.01503697557551465, -0.29489026227484233, -0.0325600549032719, -0.12632951181349827, 0.07847599167946791, -0.05496834525999067, -0.025554611765105147, 0.4132891807480362, 0.10690498673196497, 0.12576736819705572, 0.00336279712039335, 0.23873115363049097, 0.11517501139314845, -0.007214966543211505, 0.1552169011375899, 0.40672457721566074, 0.0724886705223792, 0.1700006480858629, -0.10499787483171656, -0.008812666421049628, -0.016497563426222266] |
708.3463 | A Neural Networks Model of the Venezuelan Economy | Besides an indicator of the GDP, the Central Bank of Venezuela generates the
so called Monthly Economic Activity General Indicator. The a priori knowledge
of this indicator, which represents and sometimes even anticipates the
economy's fluctuations, could be helpful in developing public policies and in
investment decision making. The purpose of this study is forecasting the IGAEM
through non parametric methods, an approach that has proven effective in a wide
variety of problems in economics and finance.
| cs.CE cs.NE | besides an indicator of the gdp the central bank of venezuela generates the so called monthly economic activity general indicator the a priori knowledge of this indicator which represents and sometimes even anticipates the economys fluctuations could be helpful in developing public policies and in investment decision making the purpose of this study is forecasting the igaem through non parametric methods an approach that has proven effective in a wide variety of problems in economics and finance | [['besides', 'an', 'indicator', 'of', 'the', 'gdp', 'the', 'central', 'bank', 'of', 'venezuela', 'generates', 'the', 'so', 'called', 'monthly', 'economic', 'activity', 'general', 'indicator', 'the', 'a', 'priori', 'knowledge', 'of', 'this', 'indicator', 'which', 'represents', 'and', 'sometimes', 'even', 'anticipates', 'the', 'economys', 'fluctuations', 'could', 'be', 'helpful', 'in', 'developing', 'public', 'policies', 'and', 'in', 'investment', 'decision', 'making', 'the', 'purpose', 'of', 'this', 'study', 'is', 'forecasting', 'the', 'igaem', 'through', 'non', 'parametric', 'methods', 'an', 'approach', 'that', 'has', 'proven', 'effective', 'in', 'a', 'wide', 'variety', 'of', 'problems', 'in', 'economics', 'and', 'finance']] | [-0.08039551341023884, 0.038941563830456674, -0.1291842822377619, 0.14309244263322876, -0.06924113849297435, -0.09890891495160758, 0.07034349202570554, 0.34583980359725264, -0.23323025428812558, -0.2938626630868959, 0.17443503467611185, -0.2183869673968538, -0.20056510292679855, 0.2400658596490853, -0.148684766299802, 0.005021314770841089, 0.031038391990525844, 0.03594260469789764, 0.030730005716721184, -0.22683747771416643, 0.26659923386269885, 0.09975024791645792, 0.3263853835922323, 0.07545273245686028, 0.09680643966911655, -0.010908259109495893, -0.10129587483396263, 0.0056559778627400335, -0.09092088447208593, 0.16753639571681178, 0.3621876795874222, 0.21546961918571278, 0.4319647911102756, -0.3671498446186122, -0.20192015027676366, 0.1503977330009404, 0.08933223055455049, 0.07092572619225584, -0.014587873678752467, -0.2539918958760896, 0.023264782748332147, -0.24285517686879948, -0.1298343432595414, -0.08946633278269712, 0.040060241106211356, -0.01026080707149384, -0.3189812517038694, 0.03420913953289671, 0.027521612183926136, 0.12339142881529896, -0.051719330600462854, -0.07416923255138834, -0.021351763960219136, 0.1616969737955706, 0.09572098607436362, 0.021297513079939802, 0.14128238739795052, -0.16745930041897258, -0.14322246412599557, 0.37936521631490905, -0.052669928274362496, -0.17149585329216757, 0.14179395113177107, -0.10247714456942815, -0.14984945848731226, 0.07895974441137361, 0.216020944644697, 0.08667885369964336, -0.21061102227969586, 0.04971968982212466, -0.0421967855409572, 0.16658350815812714, 0.013711091094209175, -0.01842046863825281, 0.21764436790621594, 0.2142975603009721, 0.10738907916177261, 0.11851341481240907, -0.05120135074187266, -0.14339951112694843, -0.24965959139119245, -0.14377236674159863, -0.1453369578674411, 0.0564563510645377, -0.12008954657453853, -0.1976829400518909, 0.396558531118851, 0.15363614043637522, 0.08174074523297972, 0.004492874405849234, 0.2546742806015046, 0.12458665368735398, 0.058210061553645095, 0.08693250900404037, 0.23449117705029876, 0.046639713066581046, 0.1711542256096819, -0.14470744830874824, 0.17672023511075072, 0.009648084554723218] |
708.3464 | A Non Parametric Study of the Volatility of the Economy as a Country
Risk Predictor | This paper intends to explain Venezuela's country spread behavior through the
Neural Networks analysis of a monthly economic activity general index of
economic indicators constructed by the Central Bank of Venezuela, a measure of
the shocks affecting country risk of emerging markets and the U.S. short term
interest rate. The use of non parametric methods allowed the finding of non
linear relationship between these inputs and the country risk. The networks
performance was evaluated using the method of excess predictability.
| cs.CE cs.NE | this paper intends to explain venezuelas country spread behavior through the neural networks analysis of a monthly economic activity general index of economic indicators constructed by the central bank of venezuela a measure of the shocks affecting country risk of emerging markets and the us short term interest rate the use of non parametric methods allowed the finding of non linear relationship between these inputs and the country risk the networks performance was evaluated using the method of excess predictability | [['this', 'paper', 'intends', 'to', 'explain', 'venezuelas', 'country', 'spread', 'behavior', 'through', 'the', 'neural', 'networks', 'analysis', 'of', 'a', 'monthly', 'economic', 'activity', 'general', 'index', 'of', 'economic', 'indicators', 'constructed', 'by', 'the', 'central', 'bank', 'of', 'venezuela', 'a', 'measure', 'of', 'the', 'shocks', 'affecting', 'country', 'risk', 'of', 'emerging', 'markets', 'and', 'the', 'us', 'short', 'term', 'interest', 'rate', 'the', 'use', 'of', 'non', 'parametric', 'methods', 'allowed', 'the', 'finding', 'of', 'non', 'linear', 'relationship', 'between', 'these', 'inputs', 'and', 'the', 'country', 'risk', 'the', 'networks', 'performance', 'was', 'evaluated', 'using', 'the', 'method', 'of', 'excess', 'predictability']] | [-0.10727656197651655, 0.0036313063553475504, -0.08078673589220152, 0.15149836830906807, -0.06035871377002589, -0.10725584235985446, 0.14245279078059417, 0.3516239060348348, -0.2544366589900625, -0.27980119338895704, 0.11803328634322255, -0.29792607627526113, -0.20008875398979156, 0.18646018386853835, -0.12153505360636907, 0.02991881789757481, 0.03174596101847253, 0.011130115264861644, 0.04585766129761557, -0.2661195850099991, 0.312810555984608, 0.1217110114646604, 0.34573234672491626, 0.04574251119518959, 0.10444669598194806, -0.05874098995936256, -0.12260725733505774, 0.009603857895347607, -0.1102475723298856, 0.23522249633988626, 0.28952829800015667, 0.18254219181246206, 0.40626330023537144, -0.4054457738500419, -0.19540368369485758, 0.15072967318369995, 0.05708660122855932, -0.0029505318018926093, 0.03731657163817671, -0.2737177550215038, -0.004282785809445608, -0.26922984222020907, -0.13844313064908398, -0.023776422390313464, 0.0012284052805810034, 0.04434395938392587, -0.2480775748344162, 0.1026957099196277, 0.008675261176651038, 0.13288587390421594, -0.02719268096681637, -0.06439880817344625, -0.05684304184315703, 0.2120962924069041, 0.14662644402654487, -0.03818431392583194, 0.18235354548131552, -0.12655693038272423, -0.15830870236777053, 0.3054684882363175, -0.0893629900875348, -0.12312024208139392, 0.1458174690038343, -0.15565821119360154, -0.124571850343572, 0.09137945717106326, 0.2638293048720571, 0.02951009962354091, -0.21464015174468484, 0.021119955984604415, -0.006882495411872109, 0.17070831118234067, 0.080431953614837, -0.013774898807264723, 0.19821758992981778, 0.19082772841417714, 0.05897052917346547, 0.11668286433655627, -0.1111154449938596, -0.11618143786923794, -0.2376663884313046, -0.09277236427451614, -0.13587547104239842, 0.03042025083552197, -0.14820593714535743, -0.16471715752459778, 0.45993416548907, 0.12509251560402823, 0.11491276242451955, 0.07980400702291274, 0.24765374427189743, 0.09337981394197367, 0.04267941776197404, 0.08826437205830708, 0.2065115240697242, 0.06924787980999468, 0.17266904682368983, -0.20481530371301843, 0.1808352623299896, 0.025312285056880005] |
708.3465 | An Early Warning System for Bankruptcy Prediction: lessons from the
Venezuelan Bank Crisis | During 1993-94 Venezuela experienced a severe banking crisis which ended up
with 18 commercial banks intervened by the government. Here we develop an early
warning system for detecting credit related bankruptcy through discriminant
functions developed on financial and macroeconomic data predating the crisis. A
robustness test performed on these functions shows high precision in error
estimation. The model calibrated on pre-crisis data could detect abnormal
financial tension in the late Banco Capital many months before it was
intervened and liquidated.
| cs.CE | during 199394 venezuela experienced a severe banking crisis which ended up with 18 commercial banks intervened by the government here we develop an early warning system for detecting credit related bankruptcy through discriminant functions developed on financial and macroeconomic data predating the crisis a robustness test performed on these functions shows high precision in error estimation the model calibrated on precrisis data could detect abnormal financial tension in the late banco capital many months before it was intervened and liquidated | [['during', '199394', 'venezuela', 'experienced', 'a', 'severe', 'banking', 'crisis', 'which', 'ended', 'up', 'with', '18', 'commercial', 'banks', 'intervened', 'by', 'the', 'government', 'here', 'we', 'develop', 'an', 'early', 'warning', 'system', 'for', 'detecting', 'credit', 'related', 'bankruptcy', 'through', 'discriminant', 'functions', 'developed', 'on', 'financial', 'and', 'macroeconomic', 'data', 'predating', 'the', 'crisis', 'a', 'robustness', 'test', 'performed', 'on', 'these', 'functions', 'shows', 'high', 'precision', 'in', 'error', 'estimation', 'the', 'model', 'calibrated', 'on', 'precrisis', 'data', 'could', 'detect', 'abnormal', 'financial', 'tension', 'in', 'the', 'late', 'banco', 'capital', 'many', 'months', 'before', 'it', 'was', 'intervened', 'and', 'liquidated']] | [-0.0568149971758764, 0.04719872825319991, -0.08715576751605619, 0.12292306988553109, -0.04580118559017966, -0.14500820020190144, 0.10732828372429255, 0.33481184006491793, -0.18008521308863087, -0.3254322118915712, 0.24319694893540744, -0.33732582265629046, -0.1450339801067227, 0.20475373614308295, -0.16254262599056657, 0.07490116439146709, 0.09802665048473384, 0.0010081329766095063, 0.027920622496476658, -0.3144128513522446, 0.20967278115798924, 0.09559769156282838, 0.3266292532399014, 0.04655407444291006, 0.09343002423131248, -0.0304513363833716, -0.10194760888204851, -0.05786574048379177, -0.08240613697945506, 0.035173642590547664, 0.3072377171108051, 0.17300755799382547, 0.4151958653561865, -0.4867879542156677, -0.18437121171339216, 0.14814344711035868, 0.026473005549817144, 0.0116448818125373, 0.004024082560481244, -0.35606793661990876, -0.011370786831160135, -0.3028113114635778, -0.1274979254997135, -0.08503641962674977, 0.039884540261229194, -0.055784669056346145, -0.24005159792266315, 0.09394365310951878, -0.05277033497378984, 0.13185649812869915, -0.05388141147014272, -0.06835150860008324, -0.058767840395905546, 0.12671692090556969, 0.11676670188714951, -0.00839337174886767, 0.17864649873698438, -0.10144800475881069, -0.12024313960035768, 0.2948627456421433, -0.0676190112010116, -0.0536982937733631, 0.1423152449976983, -0.11363865258584765, -0.17937814706016944, 0.09934245470816953, 0.24487871229294925, -0.026677631042143213, -0.19376821648565273, -0.043240071853469536, 0.05285361669655087, 0.18755787550000166, 0.11383751756216906, -0.13568149248868983, 0.20217429932878836, 0.20396237754369084, 0.03021671330553326, 0.08758160778427426, -0.10973863477252802, -0.08644247373943276, -0.21252951016531715, -0.08052866724083978, -0.10692515595863232, 0.055479278596401026, -0.12553764991071723, -0.14741160826686817, 0.40178422764226607, 0.1491833501760671, 0.08539866741534465, 0.00046989642513939475, 0.26136153879799423, 0.04126622033883122, 0.05352078797885134, 0.08196763169091148, 0.2348846148263333, -0.061305040490660295, 0.20742467652912003, -0.16043248044067546, 0.2113200333440983, -0.00881398562784012] |
708.3466 | Photoionization of Clustered Halos by the First Stars | We present numerical simulations of the photoevaporation of cosmological
halos clustered around a 120 M$_\odot$ primordial star, confining our study to
structures capable of hosting Population III star formation. The calculations
include self-consistent multifrequency conservative transfer of UV photons
together with nine-species primordial chemistry and all relevant radiative
processes. The ultimate fates of these halos varies with central density and
proximity to the central source but generally fall into one of four categories.
Diffuse halos with central densities below 2 - 3 cm$^{-3}$ are completely
ionized and evaporated by the central star anywhere in the cluster. More
evolved halo cores at densities above 2000 cm$^{-3}$ are impervious to both
ionizing and Lyman-Werner flux at most distances from the star and collapse of
their cores proceeds without delay. Radiative feedback in halos of intermediate
density can be either positive or negative, depending on how the I-front
remnant shock both compresses and deforms the core and enriches it with H$_2$.
We find that the 120 M$_\odot$ star photodissociates H$_2$ in most halos within
the cluster but that catalysis by H- rapidly restores molecular hydrogen within
a few hundred Kyr after the death of the star, with little delay in star
formation. Our models exhibit significant departures from previous
one-dimensional spherically-symmetric simulations, which are prone to serious
errors due to unphysical geometric focusing effects.
| astro-ph | we present numerical simulations of the photoevaporation of cosmological halos clustered around a 120 m_odot primordial star confining our study to structures capable of hosting population iii star formation the calculations include selfconsistent multifrequency conservative transfer of uv photons together with ninespecies primordial chemistry and all relevant radiative processes the ultimate fates of these halos varies with central density and proximity to the central source but generally fall into one of four categories diffuse halos with central densities below 2 3 cm3 are completely ionized and evaporated by the central star anywhere in the cluster more evolved halo cores at densities above 2000 cm3 are impervious to both ionizing and lymanwerner flux at most distances from the star and collapse of their cores proceeds without delay radiative feedback in halos of intermediate density can be either positive or negative depending on how the ifront remnant shock both compresses and deforms the core and enriches it with h_2 we find that the 120 m_odot star photodissociates h_2 in most halos within the cluster but that catalysis by h rapidly restores molecular hydrogen within a few hundred kyr after the death of the star with little delay in star formation our models exhibit significant departures from previous onedimensional sphericallysymmetric simulations which are prone to serious errors due to unphysical geometric focusing effects | [['we', 'present', 'numerical', 'simulations', 'of', 'the', 'photoevaporation', 'of', 'cosmological', 'halos', 'clustered', 'around', 'a', '120', 'm_odot', 'primordial', 'star', 'confining', 'our', 'study', 'to', 'structures', 'capable', 'of', 'hosting', 'population', 'iii', 'star', 'formation', 'the', 'calculations', 'include', 'selfconsistent', 'multifrequency', 'conservative', 'transfer', 'of', 'uv', 'photons', 'together', 'with', 'ninespecies', 'primordial', 'chemistry', 'and', 'all', 'relevant', 'radiative', 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708.3467 | Analytical modelling of terminal properties in industrial growth | In this pedagogical study, carried out by adopting standard mathematical
methods of nonlinear dynamics, we have presented some simple analytical models
to understand terminal behaviour in industrial growth. This issue has also been
addressed from a dynamical systems perspective, with especial emphasis on the
concept of the Balanced Scorecard. Our study enables us to make the general
claim that although the fortunes of an industrial organization can rise with
exponential rapidity on relatively short time scales, its growth will
ultimately and inevitably be saturated on long time scales by various factors
which are nonlinear in character. We have mathematically demonstrated the
likely occurrence of this feature under various possible circumstances,
including the Red Ocean and the Blue Ocean. Finally and most importantly, our
arguments and their associated mathematical modelling have received remarkable
support from the growth pattern indicated by empirical data gathered from a
well-recognized global company like IBM.
| q-fin.GN physics.soc-ph | in this pedagogical study carried out by adopting standard mathematical methods of nonlinear dynamics we have presented some simple analytical models to understand terminal behaviour in industrial growth this issue has also been addressed from a dynamical systems perspective with especial emphasis on the concept of the balanced scorecard our study enables us to make the general claim that although the fortunes of an industrial organization can rise with exponential rapidity on relatively short time scales its growth will ultimately and inevitably be saturated on long time scales by various factors which are nonlinear in character we have mathematically demonstrated the likely occurrence of this feature under various possible circumstances including the red ocean and the blue ocean finally and most importantly our arguments and their associated mathematical modelling have received remarkable support from the growth pattern indicated by empirical data gathered from a wellrecognized global company like ibm | [['in', 'this', 'pedagogical', 'study', 'carried', 'out', 'by', 'adopting', 'standard', 'mathematical', 'methods', 'of', 'nonlinear', 'dynamics', 'we', 'have', 'presented', 'some', 'simple', 'analytical', 'models', 'to', 'understand', 'terminal', 'behaviour', 'in', 'industrial', 'growth', 'this', 'issue', 'has', 'also', 'been', 'addressed', 'from', 'a', 'dynamical', 'systems', 'perspective', 'with', 'especial', 'emphasis', 'on', 'the', 'concept', 'of', 'the', 'balanced', 'scorecard', 'our', 'study', 'enables', 'us', 'to', 'make', 'the', 'general', 'claim', 'that', 'although', 'the', 'fortunes', 'of', 'an', 'industrial', 'organization', 'can', 'rise', 'with', 'exponential', 'rapidity', 'on', 'relatively', 'short', 'time', 'scales', 'its', 'growth', 'will', 'ultimately', 'and', 'inevitably', 'be', 'saturated', 'on', 'long', 'time', 'scales', 'by', 'various', 'factors', 'which', 'are', 'nonlinear', 'in', 'character', 'we', 'have', 'mathematically', 'demonstrated', 'the', 'likely', 'occurrence', 'of', 'this', 'feature', 'under', 'various', 'possible', 'circumstances', 'including', 'the', 'red', 'ocean', 'and', 'the', 'blue', 'ocean', 'finally', 'and', 'most', 'importantly', 'our', 'arguments', 'and', 'their', 'associated', 'mathematical', 'modelling', 'have', 'received', 'remarkable', 'support', 'from', 'the', 'growth', 'pattern', 'indicated', 'by', 'empirical', 'data', 'gathered', 'from', 'a', 'wellrecognized', 'global', 'company', 'like', 'ibm']] | [-0.06982853265960494, 0.08880641388063454, -0.138535246065499, 0.07426121967904045, -0.08973675436065251, -0.10509134679833496, 0.040899861657104436, 0.37401513402481507, -0.23877358584799147, -0.29054005365918745, 0.14814716862161462, -0.24272033096534895, -0.19846161323655773, 0.23470526920544021, -0.07303941404390706, 0.05397662702024345, 0.059563468532299234, 0.015436132225964294, -0.018986519528068478, -0.24560637294624202, 0.29406127999942977, 0.08334513015782573, 0.2983852121119556, 0.06322486209019006, 0.07158717099380298, -0.04596475833376882, -0.09338947142405599, 0.01887563810427517, -0.13423077626046984, 0.11029920313857346, 0.2474834643902881, 0.12887226877227775, 0.31525416229070236, -0.48007609483929686, -0.22857191681161823, 0.06684919091366581, 0.13137085589380224, 0.08700996559135141, -0.07615805806001436, -0.26590391539737285, 0.054696117749675206, -0.19117261778763275, -0.14078776661506634, -0.07609306628450176, 0.03570573319112195, 0.030811815805067234, -0.20100233450081925, 0.04568899967672534, 0.052337377993725925, 0.10253289376694909, -0.024407079521857278, -0.10998887042499354, -0.027205367222578332, 0.1173182330891215, 0.09896591126968797, -0.02328772950079917, 0.10440291326505526, -0.11761588025908455, -0.0896467767880867, 0.3752677596405449, -0.03033240437124787, -0.15782262721792764, 0.24635939716811497, -0.12064342629852011, -0.16058905885223573, 0.10854737600389767, 0.2041061575862035, 0.07112451447892759, -0.16732994433892454, 0.062422322533202776, -0.023080669379411826, 0.14703039619634115, 0.07000913184398673, 0.021206032295692588, 0.22740062502456593, 0.20603464895253062, 0.012690732854062178, 0.1210530185939169, -0.038244806848085115, -0.1527911627469053, -0.24168024914989236, -0.09402979878496204, -0.11884161682749454, 0.07811702862256925, -0.057303473621766216, -0.13213367663923925, 0.39761724759943334, 0.17164802570333518, 0.18810350235376583, 0.029631950826096605, 0.2574822509023767, 0.10472543219466937, 0.06973475901778763, 0.024451147264247408, 0.2418829042242993, 0.08535888912187477, 0.14376081690120343, -0.20226621332784628, 0.10713728425255507, -0.014514865069306337] |
708.3468 | Weak ferromagnetism and spin glass state with nano-sized nickel carbide | Ni3C nanoparticles of about 40 nm have been studied experimentally to exhibit
weak ferromagnetic (FM), spin-glass (SG) and paramagnetic (PM) properties. The
freezing temperature of the SG phase at zero applied field is determined as,
TF0 ~ 11.0 K. At T > TF0, a very weak ferromagnetism has been observed over a
PM background. The Curie temperature, TC, is shown to exceed 300 K and the
ferromagnetism at 300 K is determined as about 0.02 emu/g (~6.7*10^{-4}mu_B per
Ni3C formula unit) by subtracting the background paramagnetism. An anomalous
dip appears in the temperature dependent coercivity, HC(T), near the freezing
temperature, TF0. It reflects a distortedly reduced coercivity in the M(H)
hysteresis loop measured at T = TF0 with the applied sweeping field around H =
0. This is attributable to the exchange coupling effect between the SG and the
weak FM phases. The possible origin of the magnetic moments that account for
the observed FM, SG and PM properties is discussed.
| cond-mat.mtrl-sci | ni3c nanoparticles of about 40 nm have been studied experimentally to exhibit weak ferromagnetic fm spinglass sg and paramagnetic pm properties the freezing temperature of the sg phase at zero applied field is determined as tf0 110 k at t tf0 a very weak ferromagnetism has been observed over a pm background the curie temperature tc is shown to exceed 300 k and the ferromagnetism at 300 k is determined as about 002 emug 67104mu_b per ni3c formula unit by subtracting the background paramagnetism an anomalous dip appears in the temperature dependent coercivity hct near the freezing temperature tf0 it reflects a distortedly reduced coercivity in the mh hysteresis loop measured at t tf0 with the applied sweeping field around h 0 this is attributable to the exchange coupling effect between the sg and the weak fm phases the possible origin of the magnetic moments that account for the observed fm sg and pm properties is discussed | [['ni3c', 'nanoparticles', 'of', 'about', '40', 'nm', 'have', 'been', 'studied', 'experimentally', 'to', 'exhibit', 'weak', 'ferromagnetic', 'fm', 'spinglass', 'sg', 'and', 'paramagnetic', 'pm', 'properties', 'the', 'freezing', 'temperature', 'of', 'the', 'sg', 'phase', 'at', 'zero', 'applied', 'field', 'is', 'determined', 'as', 'tf0', '110', 'k', 'at', 't', 'tf0', 'a', 'very', 'weak', 'ferromagnetism', 'has', 'been', 'observed', 'over', 'a', 'pm', 'background', 'the', 'curie', 'temperature', 'tc', 'is', 'shown', 'to', 'exceed', '300', 'k', 'and', 'the', 'ferromagnetism', 'at', '300', 'k', 'is', 'determined', 'as', 'about', '002', 'emug', '67104mu_b', 'per', 'ni3c', 'formula', 'unit', 'by', 'subtracting', 'the', 'background', 'paramagnetism', 'an', 'anomalous', 'dip', 'appears', 'in', 'the', 'temperature', 'dependent', 'coercivity', 'hct', 'near', 'the', 'freezing', 'temperature', 'tf0', 'it', 'reflects', 'a', 'distortedly', 'reduced', 'coercivity', 'in', 'the', 'mh', 'hysteresis', 'loop', 'measured', 'at', 't', 'tf0', 'with', 'the', 'applied', 'sweeping', 'field', 'around', 'h', '0', 'this', 'is', 'attributable', 'to', 'the', 'exchange', 'coupling', 'effect', 'between', 'the', 'sg', 'and', 'the', 'weak', 'fm', 'phases', 'the', 'possible', 'origin', 'of', 'the', 'magnetic', 'moments', 'that', 'account', 'for', 'the', 'observed', 'fm', 'sg', 'and', 'pm', 'properties', 'is', 'discussed']] | [-0.15251654102842535, 0.243074923919818, -0.04080091147052665, 0.03721709159923898, -0.024831281341011487, -0.14132611680129964, 0.08071154981171863, 0.37834278285022704, -0.24054717958694505, -0.3316237421210615, 0.047566123500526435, -0.3334894076891003, 0.005480066930214244, 0.15908576542090985, 0.05427812777099109, -0.053398233132376786, -0.08907505830659741, 0.0688460112001086, -0.12128886253490383, -0.22641759323737315, 0.18352505204778524, 0.015415316420577226, 0.2783955418054135, 0.11175507680482923, 0.0745841060520991, -0.049171213187735464, 0.14357286459435858, 0.05167970991423053, -0.18499706231772095, -0.056944778694530886, 0.21709364463364886, -0.10445782365277409, 0.17280057683707245, -0.29088668048141464, -0.17307273301356021, 0.0671984733623122, 0.10951732037168356, 0.02741795782931149, -0.01760951853207042, -0.2602083033438952, 0.1541448276309717, -0.06339088343083858, -0.168451692533469, -0.0407065922511749, 0.03983709029703131, -0.0650417074966695, -0.26463542389683425, 0.14948174339839287, 0.09919435030390178, 0.17524319594695925, -0.05543190535578516, -0.2152693764036221, -0.0801937015667077, 0.029426966862557757, 0.05532749999284504, 0.14052402080907936, 0.16561016365134668, -0.043869003808621555, -0.05391181770096263, 0.3248815569666124, -0.1214551871402129, 0.024511303374498722, 0.11742172950818654, -0.2187225535227504, -0.0581467785962647, 0.23259412608439883, 0.06629786512273694, 0.08741023448115635, -0.16205471620083817, 0.11056969147363317, 0.052858677438850844, 0.2164967060810135, 0.0807222340361125, -0.017387323599729325, 0.2496581887165385, 0.1621705660348638, 0.02456057624921443, 0.12808333485492415, -0.1482942557142627, -0.06718299388772839, -0.2166366892671513, -0.11383818180089997, -0.19782803293520346, 0.09356316068480092, -0.141231264218673, -0.12849785303452893, 0.30675267586784977, 0.16994087384758336, 0.20649094121801037, -0.05208025518504362, 0.1993799339709503, 0.13444479718774316, 0.11543687693173847, 0.07121204671810472, 0.25518426824240914, 0.28278345704349056, 0.20042282402470346, -0.30170274287342064, 0.11170902053915685, -0.015512197585626235] |
708.3469 | Electronic structure of self-assembled InAs/InP quantum dots: A
Comparison with self-assembled InAs/GaAs quantum dots | We investigate the electronic structure of the InAs/InP quantum dots using an
atomistic pseudopotential method and compare them to those of the InAs/GaAs
QDs. We show that even though the InAs/InP and InAs/GaAs dots have the same dot
material, their electronic structure differ significantly in certain aspects,
especially for holes: (i) The hole levels have a much larger energy spacing in
the InAs/InP dots than in the InAs/GaAs dots of corresponding size. (ii)
Furthermore, in contrast with the InAs/GaAs dots, where the sizeable hole $p$,
$d$ intra-shell level splitting smashes the energy level shell structure, the
InAs/InP QDs have a well defined energy level shell structure with small $p$,
$d$ level splitting, for holes. (iii) The fundamental exciton energies of the
InAs/InP dots are calculated to be around 0.8 eV ($\sim$ 1.55 $\mu$m), about
200 meV lower than those of typical InAs/GaAs QDs, mainly due to the smaller
lattice mismatch in the InAs/InP dots. (iii) The widths of the exciton $P$
shell and $D$ shell are much narrower in the InAs/InP dots than in the
InAs/GaAs dots. (iv) The InAs/GaAs and InAs/InP dots have a reversed light
polarization anisotropy along the [100] and [1$\bar{1}$0] directions.
| cond-mat.mtrl-sci | we investigate the electronic structure of the inasinp quantum dots using an atomistic pseudopotential method and compare them to those of the inasgaas qds we show that even though the inasinp and inasgaas dots have the same dot material their electronic structure differ significantly in certain aspects especially for holes i the hole levels have a much larger energy spacing in the inasinp dots than in the inasgaas dots of corresponding size ii furthermore in contrast with the inasgaas dots where the sizeable hole p d intrashell level splitting smashes the energy level shell structure the inasinp qds have a well defined energy level shell structure with small p d level splitting for holes iii the fundamental exciton energies of the inasinp dots are calculated to be around 08 ev sim 155 mum about 200 mev lower than those of typical inasgaas qds mainly due to the smaller lattice mismatch in the inasinp dots iii the widths of the exciton p shell and d shell are much narrower in the inasinp dots than in the inasgaas dots iv the inasgaas and inasinp dots have a reversed light polarization anisotropy along the 100 and 1bar10 directions | [['we', 'investigate', 'the', 'electronic', 'structure', 'of', 'the', 'inasinp', 'quantum', 'dots', 'using', 'an', 'atomistic', 'pseudopotential', 'method', 'and', 'compare', 'them', 'to', 'those', 'of', 'the', 'inasgaas', 'qds', 'we', 'show', 'that', 'even', 'though', 'the', 'inasinp', 'and', 'inasgaas', 'dots', 'have', 'the', 'same', 'dot', 'material', 'their', 'electronic', 'structure', 'differ', 'significantly', 'in', 'certain', 'aspects', 'especially', 'for', 'holes', 'i', 'the', 'hole', 'levels', 'have', 'a', 'much', 'larger', 'energy', 'spacing', 'in', 'the', 'inasinp', 'dots', 'than', 'in', 'the', 'inasgaas', 'dots', 'of', 'corresponding', 'size', 'ii', 'furthermore', 'in', 'contrast', 'with', 'the', 'inasgaas', 'dots', 'where', 'the', 'sizeable', 'hole', 'p', 'd', 'intrashell', 'level', 'splitting', 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708.347 | Effects of mode degeneracy in the LIGO Livingston Observatory recycling
cavity | We analyze the electromagnetic fields in a Pound-Drever-Hall locked,
marginally unstable, Fabry-Perot cavity as a function of small changes in the
cavity length during resonance. More specifically, we compare the results of a
detailed numerical model with the behavior of the recycling cavity of the Laser
Interferometer Gravitational-wave Observatory (LIGO) detector that is located
in Livingston, Louisiana. In the interferometer's normal mode of operation, the
recycling cavity is stabilized by inducing a thermal lens in the cavity mirrors
with an external CO2 laser. During the study described here, this thermal
compensation system was not operating, causing the cavity to be marginally
optically unstable and cavity modes to become degenerate. In contrast to stable
optical cavities, the modal content of the resonating beam in the uncompensated
recycling cavity is significantly altered by very small cavity length changes.
This modifies the error signals used to control the cavity length in such a way
that the zero crossing point is no longer the point of maximum power in the
cavity nor is it the point where the input beam mode in the cavity is
maximized.
| gr-qc | we analyze the electromagnetic fields in a pounddreverhall locked marginally unstable fabryperot cavity as a function of small changes in the cavity length during resonance more specifically we compare the results of a detailed numerical model with the behavior of the recycling cavity of the laser interferometer gravitationalwave observatory ligo detector that is located in livingston louisiana in the interferometers normal mode of operation the recycling cavity is stabilized by inducing a thermal lens in the cavity mirrors with an external co2 laser during the study described here this thermal compensation system was not operating causing the cavity to be marginally optically unstable and cavity modes to become degenerate in contrast to stable optical cavities the modal content of the resonating beam in the uncompensated recycling cavity is significantly altered by very small cavity length changes this modifies the error signals used to control the cavity length in such a way that the zero crossing point is no longer the point of maximum power in the cavity nor is it the point where the input beam mode in the cavity is maximized | [['we', 'analyze', 'the', 'electromagnetic', 'fields', 'in', 'a', 'pounddreverhall', 'locked', 'marginally', 'unstable', 'fabryperot', 'cavity', 'as', 'a', 'function', 'of', 'small', 'changes', 'in', 'the', 'cavity', 'length', 'during', 'resonance', 'more', 'specifically', 'we', 'compare', 'the', 'results', 'of', 'a', 'detailed', 'numerical', 'model', 'with', 'the', 'behavior', 'of', 'the', 'recycling', 'cavity', 'of', 'the', 'laser', 'interferometer', 'gravitationalwave', 'observatory', 'ligo', 'detector', 'that', 'is', 'located', 'in', 'livingston', 'louisiana', 'in', 'the', 'interferometers', 'normal', 'mode', 'of', 'operation', 'the', 'recycling', 'cavity', 'is', 'stabilized', 'by', 'inducing', 'a', 'thermal', 'lens', 'in', 'the', 'cavity', 'mirrors', 'with', 'an', 'external', 'co2', 'laser', 'during', 'the', 'study', 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-0.028217568952631163] |
708.3471 | Structure of the Roper Resonance with Diquark Correlations | We study electromagnetic properties of the nucleon and Roper resonance in a
chiral quark-diquark model including two kinds of diquarks needed to describe
the nucleon: scalar and axial-vector diquarks. The nucleon and Roper resonance
are described as superpositions of two quark-diquark bound states of a quark
and a scalar diquark and of a quark and an axial-vector diquark.
Electromagnetic form factors of the nucleon and Roper resonance are obtained
from one-loop diagrams where the quark and diquarks are coupled by a photon. We
include the effects of intrinsic properties of the diquarks: the intrinsic form
factors both of the diquarks and the anomalous magnetic moment of the
axial-vector diquark. The electric form factors of the proton and neutron
reasonably agree with the experiments due to the inclusions of the diquark
sizes, while the magnetic moments become smaller than the experimental values
because of the scalar dominance in the nucleon. The charge radii of the Roper
resonance are almost comparable with those of the nucleon.
| hep-ph | we study electromagnetic properties of the nucleon and roper resonance in a chiral quarkdiquark model including two kinds of diquarks needed to describe the nucleon scalar and axialvector diquarks the nucleon and roper resonance are described as superpositions of two quarkdiquark bound states of a quark and a scalar diquark and of a quark and an axialvector diquark electromagnetic form factors of the nucleon and roper resonance are obtained from oneloop diagrams where the quark and diquarks are coupled by a photon we include the effects of intrinsic properties of the diquarks the intrinsic form factors both of the diquarks and the anomalous magnetic moment of the axialvector diquark the electric form factors of the proton and neutron reasonably agree with the experiments due to the inclusions of the diquark sizes while the magnetic moments become smaller than the experimental values because of the scalar dominance in the nucleon the charge radii of the roper resonance are almost comparable with those of the nucleon | [['we', 'study', 'electromagnetic', 'properties', 'of', 'the', 'nucleon', 'and', 'roper', 'resonance', 'in', 'a', 'chiral', 'quarkdiquark', 'model', 'including', 'two', 'kinds', 'of', 'diquarks', 'needed', 'to', 'describe', 'the', 'nucleon', 'scalar', 'and', 'axialvector', 'diquarks', 'the', 'nucleon', 'and', 'roper', 'resonance', 'are', 'described', 'as', 'superpositions', 'of', 'two', 'quarkdiquark', 'bound', 'states', 'of', 'a', 'quark', 'and', 'a', 'scalar', 'diquark', 'and', 'of', 'a', 'quark', 'and', 'an', 'axialvector', 'diquark', 'electromagnetic', 'form', 'factors', 'of', 'the', 'nucleon', 'and', 'roper', 'resonance', 'are', 'obtained', 'from', 'oneloop', 'diagrams', 'where', 'the', 'quark', 'and', 'diquarks', 'are', 'coupled', 'by', 'a', 'photon', 'we', 'include', 'the', 'effects', 'of', 'intrinsic', 'properties', 'of', 'the', 'diquarks', 'the', 'intrinsic', 'form', 'factors', 'both', 'of', 'the', 'diquarks', 'and', 'the', 'anomalous', 'magnetic', 'moment', 'of', 'the', 'axialvector', 'diquark', 'the', 'electric', 'form', 'factors', 'of', 'the', 'proton', 'and', 'neutron', 'reasonably', 'agree', 'with', 'the', 'experiments', 'due', 'to', 'the', 'inclusions', 'of', 'the', 'diquark', 'sizes', 'while', 'the', 'magnetic', 'moments', 'become', 'smaller', 'than', 'the', 'experimental', 'values', 'because', 'of', 'the', 'scalar', 'dominance', 'in', 'the', 'nucleon', 'the', 'charge', 'radii', 'of', 'the', 'roper', 'resonance', 'are', 'almost', 'comparable', 'with', 'those', 'of', 'the', 'nucleon']] | [-0.09440743855041701, 0.2923276584870331, -0.04466081186050049, 0.1681859197106394, -0.0717201921350618, -0.04589512487184881, 0.038195936573263284, 0.33064999258168404, -0.09862833818784211, -0.23979458995390593, -0.0810745751567571, -0.326924161888977, -0.04351821285672486, 0.05051719782186854, 0.16528220501978222, 0.07731051650404058, 0.014218985360746113, 0.09919846189072037, -0.0586151914201143, -0.17137731319128693, 0.41578337033960694, -0.06425674358473682, 0.17846185070030937, 0.19430216266660066, 0.03635915980685684, 0.002747377261474002, 0.03558826767385188, -0.08469072404521995, -0.052180123612676495, 0.11380758036102634, 0.16860630364965068, 0.03907270142354253, 0.1280784640750825, -0.4096256175118203, -0.10607938009112641, 0.06477255962800416, 0.17941509015012033, 0.13704676366206714, 0.007219624430191044, -0.34672961778166456, 0.0819998612420111, -0.20989239356684974, -0.171782766426232, -0.1514951356590112, -0.02979961368425681, 0.038467320481176126, -0.3443468400992726, 0.13122076785231646, 0.015863146525012646, 0.028600429823599394, -0.11313105700537562, -0.3078719825745083, -0.03799344629060659, 0.05331886936512935, 0.1546079133766442, 0.07161100956798735, 0.18313481591403394, -0.26811188284099025, -0.12349133663910168, 0.4123665540161111, -0.028901115257634422, -0.19860790276377485, 0.06443624480388968, -0.19558519710184688, -0.04583104347480779, 0.1101636326156284, 0.17691654873026602, 0.07670064355678312, -0.2011596601912127, 0.07369903663231703, -0.06294800782655706, 0.1820316824191761, 0.11264871499535241, 0.1153809250837828, 0.2554292724944833, 0.16389839576625423, -0.07201199956442707, 0.09087473041059949, -0.06030195364700176, -0.09754379119201587, -0.37403801943050563, -0.0907506732197007, -0.1358762962030951, 0.02858035625867182, -0.0973666170374178, -0.14225629932905842, 0.4514671480638066, 0.04322636410275974, 0.22967406662472767, -0.04914777792944777, 0.3078570906470371, 0.08425312852075255, 0.1055058081628664, 0.08548112573221371, 0.3182134667948093, 0.2875997921091323, 0.09969896693123369, -0.3300255473132427, -0.03316753616459986, 0.024434270411048356] |
708.3472 | Empirical distributions of Chinese stock returns at different
microscopic timescales | We study the distributions of event-time returns and clock-time returns at
different microscopic timescales using ultra-high-frequency data extracted from
the limit-order books of 23 stocks traded in the Chinese stock market in 2003.
We find that the returns at the one-trade timescale obey the inverse cubic law.
For larger timescales (2-32 trades and 1-5 minutes), the returns follow the
Student distribution with power-law tails. With the decrease of timescale, the
tail becomes fatter, which is consistent with the vibrational theory.
| q-fin.ST physics.soc-ph | we study the distributions of eventtime returns and clocktime returns at different microscopic timescales using ultrahighfrequency data extracted from the limitorder books of 23 stocks traded in the chinese stock market in 2003 we find that the returns at the onetrade timescale obey the inverse cubic law for larger timescales 232 trades and 15 minutes the returns follow the student distribution with powerlaw tails with the decrease of timescale the tail becomes fatter which is consistent with the vibrational theory | [['we', 'study', 'the', 'distributions', 'of', 'eventtime', 'returns', 'and', 'clocktime', 'returns', 'at', 'different', 'microscopic', 'timescales', 'using', 'ultrahighfrequency', 'data', 'extracted', 'from', 'the', 'limitorder', 'books', 'of', '23', 'stocks', 'traded', 'in', 'the', 'chinese', 'stock', 'market', 'in', '2003', 'we', 'find', 'that', 'the', 'returns', 'at', 'the', 'onetrade', 'timescale', 'obey', 'the', 'inverse', 'cubic', 'law', 'for', 'larger', 'timescales', '232', 'trades', 'and', '15', 'minutes', 'the', 'returns', 'follow', 'the', 'student', 'distribution', 'with', 'powerlaw', 'tails', 'with', 'the', 'decrease', 'of', 'timescale', 'the', 'tail', 'becomes', 'fatter', 'which', 'is', 'consistent', 'with', 'the', 'vibrational', 'theory']] | [-0.03367490037285452, 0.16451600936677638, -0.17298897948776243, 0.15824001220709208, -0.02683754610428233, -0.10127780104904802, 0.08224971064725961, 0.37897003123748907, -0.252998370784438, -0.30825137658504465, 0.07940004180963564, -0.3901975327466108, -0.050802324839596506, 0.19187431004417094, -0.022447083133591127, -0.02919612173433121, 0.012301987841654616, -0.025683937694500142, -0.003787849378430202, -0.27129223395752, 0.2293134859197219, 0.07420874512724908, 0.28582910794906224, -0.0365998708890586, 0.11590646173586903, -0.00223230363659655, -0.07521101378655588, -0.04222152114527512, -0.1467929053319437, 0.08843328144189112, 0.19472710618784628, 0.03681158001499274, 0.2904132100211197, -0.43300920482017574, -0.11344560248706537, 0.08660619313934748, 0.048439599514667746, -0.013304993022480815, 0.09096907970460155, -0.22320434127498087, 0.028357787163857416, -0.2138606508297822, -0.1302689169691964, -0.01723608503536663, 0.13990111687939755, 0.03704940572180608, -0.24591736849161644, 0.1977208789579476, 0.023296751877693814, 0.08746430923855758, -0.0621596708115709, -0.14557121908203757, -0.024029029008661267, 0.12547135314185032, 0.18152891404490587, -0.0442391295439882, 0.16319440074760136, -0.0823081074624405, -0.14019019328812254, 0.3599875361888516, -0.10275105227822368, -0.013349922204655787, 0.07450734947725565, -0.20622063596744702, -0.11371424501832528, 0.17412987943219987, 0.16461423209196405, 0.007669663335704333, -0.12611300946225093, 0.013557990728523818, -0.06087575289951284, 0.2752588077719453, 0.09336189120489208, -0.015461526946695168, 0.18323155478986947, 0.16044695500897455, 0.010762233599501698, 0.12067156550887076, -0.17031810268806882, -0.1783102307103197, -0.23639275612238841, -0.054045077637309515, -0.15331907610149606, 0.09058787973149668, -0.20152266114866185, -0.16100017767682484, 0.4094040775553712, 0.11243676864527331, 0.15356011853753765, 0.17956463056115457, 0.15437650250542106, 0.16914684244113254, 0.04747292939337749, 0.16747121897207784, 0.17587058474250797, -0.030216054931943175, 0.1778764562516273, -0.16110417642335914, 0.14243195434631425, -0.027179831957232347] |
708.3473 | Geodesic plasma flows instabilities of Riemann twisted solar loops | Riemann and sectional curvatures of magnetic twisted flux tubes in Riemannian
manifold are computed to investigate the stability of the plasma astrophysical
tubes. The geodesic equations are used to show that in the case of thick
magnetic tubes, the curvature of planar (Frenet torsion-free) tubes have the
effect ct of damping the flow speed along the tube. Stability of geodesic flows
in the Riemannian twisted thin tubes (almost filaments), against constant
radial perturbations is investigated by using the method of negative sectional
curvature for unstable flows. No special form of the flow like Beltrami flows
is admitted, and the proof is general for the case of thin magnetic flux tubes.
In the magnetic equilibrium state, the twist of the tube is shown to display
also a damping effect on the toroidal velocity of the plasma flow. It is found
that for positive perturbations and angular speed of the flow, instability is
achieved, since the sectional Ricci curvature of the magnetic twisted tube
metric is negative. Solar flare production may appear from these geometrical
instabilities of the twisted solar loops.
| physics.plasm-ph physics.flu-dyn | riemann and sectional curvatures of magnetic twisted flux tubes in riemannian manifold are computed to investigate the stability of the plasma astrophysical tubes the geodesic equations are used to show that in the case of thick magnetic tubes the curvature of planar frenet torsionfree tubes have the effect ct of damping the flow speed along the tube stability of geodesic flows in the riemannian twisted thin tubes almost filaments against constant radial perturbations is investigated by using the method of negative sectional curvature for unstable flows no special form of the flow like beltrami flows is admitted and the proof is general for the case of thin magnetic flux tubes in the magnetic equilibrium state the twist of the tube is shown to display also a damping effect on the toroidal velocity of the plasma flow it is found that for positive perturbations and angular speed of the flow instability is achieved since the sectional ricci curvature of the magnetic twisted tube metric is negative solar flare production may appear from these geometrical instabilities of the twisted solar loops | [['riemann', 'and', 'sectional', 'curvatures', 'of', 'magnetic', 'twisted', 'flux', 'tubes', 'in', 'riemannian', 'manifold', 'are', 'computed', 'to', 'investigate', 'the', 'stability', 'of', 'the', 'plasma', 'astrophysical', 'tubes', 'the', 'geodesic', 'equations', 'are', 'used', 'to', 'show', 'that', 'in', 'the', 'case', 'of', 'thick', 'magnetic', 'tubes', 'the', 'curvature', 'of', 'planar', 'frenet', 'torsionfree', 'tubes', 'have', 'the', 'effect', 'ct', 'of', 'damping', 'the', 'flow', 'speed', 'along', 'the', 'tube', 'stability', 'of', 'geodesic', 'flows', 'in', 'the', 'riemannian', 'twisted', 'thin', 'tubes', 'almost', 'filaments', 'against', 'constant', 'radial', 'perturbations', 'is', 'investigated', 'by', 'using', 'the', 'method', 'of', 'negative', 'sectional', 'curvature', 'for', 'unstable', 'flows', 'no', 'special', 'form', 'of', 'the', 'flow', 'like', 'beltrami', 'flows', 'is', 'admitted', 'and', 'the', 'proof', 'is', 'general', 'for', 'the', 'case', 'of', 'thin', 'magnetic', 'flux', 'tubes', 'in', 'the', 'magnetic', 'equilibrium', 'state', 'the', 'twist', 'of', 'the', 'tube', 'is', 'shown', 'to', 'display', 'also', 'a', 'damping', 'effect', 'on', 'the', 'toroidal', 'velocity', 'of', 'the', 'plasma', 'flow', 'it', 'is', 'found', 'that', 'for', 'positive', 'perturbations', 'and', 'angular', 'speed', 'of', 'the', 'flow', 'instability', 'is', 'achieved', 'since', 'the', 'sectional', 'ricci', 'curvature', 'of', 'the', 'magnetic', 'twisted', 'tube', 'metric', 'is', 'negative', 'solar', 'flare', 'production', 'may', 'appear', 'from', 'these', 'geometrical', 'instabilities', 'of', 'the', 'twisted', 'solar', 'loops']] | [-0.23696417245277668, 0.20392295522953505, -0.03319649540366574, 0.08401393344269431, -0.07568456049404997, -0.08494602176803034, -0.11552799293022166, 0.39389111137007204, -0.23645623072373093, -0.24812588818870776, 0.1056289744398208, -0.25134539514046433, -0.07409185061866012, 0.21389630085700218, -0.05101670331988931, 0.07162368541593825, 0.06466934748134424, 0.0668325339360735, -0.024252124523546276, -0.19220467602220162, 0.3829799850013461, 0.04564093606931537, 0.30081371419839353, 0.10044553346786253, 0.09223778741486245, -0.12505583948710694, 0.012472392540157112, 0.1029113869146345, -0.1611136623589789, 0.059188194678284685, 0.11803835732052649, -0.011460731758127332, 0.16048338185532757, -0.47174115659793914, -0.25634357274130154, 0.04595894107917667, 0.1416810355565443, 0.017505751449260965, -0.01734797571354556, -0.24044175394784723, 0.0966687701595687, -0.07311030583945233, -0.17870844820970877, -0.035977823173304675, 0.028874471840870115, 0.009246816837837577, -0.21233547546487178, 0.09956528626849963, 0.09668773814239773, 0.06966854303141318, -0.123001432995827, -0.07496471474709394, -0.12521148940506677, 0.08797481628238905, 0.14518014621509853, 0.04896511757738534, 0.19839912110825159, -0.13220521652623596, -0.043044246681159436, 0.342452830390474, -0.09501671676092141, -0.2481447642099362, 0.08340723682507123, -0.1822472213762266, -0.053281041803931055, 0.18835981278979433, 0.16515323524909645, 0.15380809729393344, -0.05895694258216998, 0.05755089839312961, -0.05119797788747696, 0.06648918869905174, 0.13765085898287718, -0.0719393721808336, 0.23086735141052547, 0.10712562426118254, 0.10602517817923851, 0.1567433962589338, -0.12256156948951785, -0.07073947223808678, -0.330167391420701, -0.20178792694864492, -0.09918729702951179, 0.12673791101483325, -0.12216003598912305, -0.26467041277203723, 0.3875704408407357, 0.03837704501705317, 0.15172541319449853, 0.01015452544761603, 0.28672629174406966, 0.0609465636932109, 0.06804033244866357, 0.151872350901948, 0.3426221660208269, 0.27528779103170936, 0.16738784538504575, -0.23065212803538993, -0.015616473301207157, 0.12130914558786586] |
708.3474 | Nonlinear control of chaotic walking of atoms in an optical lattice | Centre-of-mass atomic motion in an optical lattice near the resonance is
shown to be a chaotic walking due to the interplay between coherent internal
atomic dynamics and spontaneous emission. Statistical properties of chaotic
atomic motion can be controlled by the single parameter, the detuning between
the atomic transition frequency and the laser frequency. We derive a
Fokker-Planck equation in the energetic space to describe the atomic transport
near the resonance and demonstrate numerically how to manipulate the atomic
motion varying the detuning.
| quant-ph | centreofmass atomic motion in an optical lattice near the resonance is shown to be a chaotic walking due to the interplay between coherent internal atomic dynamics and spontaneous emission statistical properties of chaotic atomic motion can be controlled by the single parameter the detuning between the atomic transition frequency and the laser frequency we derive a fokkerplanck equation in the energetic space to describe the atomic transport near the resonance and demonstrate numerically how to manipulate the atomic motion varying the detuning | [['centreofmass', 'atomic', 'motion', 'in', 'an', 'optical', 'lattice', 'near', 'the', 'resonance', 'is', 'shown', 'to', 'be', 'a', 'chaotic', 'walking', 'due', 'to', 'the', 'interplay', 'between', 'coherent', 'internal', 'atomic', 'dynamics', 'and', 'spontaneous', 'emission', 'statistical', 'properties', 'of', 'chaotic', 'atomic', 'motion', 'can', 'be', 'controlled', 'by', 'the', 'single', 'parameter', 'the', 'detuning', 'between', 'the', 'atomic', 'transition', 'frequency', 'and', 'the', 'laser', 'frequency', 'we', 'derive', 'a', 'fokkerplanck', 'equation', 'in', 'the', 'energetic', 'space', 'to', 'describe', 'the', 'atomic', 'transport', 'near', 'the', 'resonance', 'and', 'demonstrate', 'numerically', 'how', 'to', 'manipulate', 'the', 'atomic', 'motion', 'varying', 'the', 'detuning']] | [-0.1181122288093675, 0.2597453859821033, -0.07173950693047629, 0.047580906980750494, -0.03655266547121289, -0.1111267287306851, 0.04987039969007417, 0.4176654609419951, -0.36598282995372555, -0.2865123867125409, -0.00679829748199753, -0.22816392369341196, -0.0905703525229289, 0.19100073612828897, 0.028060458288187297, 0.06369141477909757, 0.008300906918920213, -0.017959093357004772, -0.005623788618278213, -0.08769728574424801, 0.26652409109037095, 0.05634808856653186, 0.29251380096666696, 0.03374457541035443, 0.12492652007991947, -0.008585713123732314, 0.08005288657881376, -0.061032902807488514, -0.1349671752725887, 0.11244852572861241, 0.1926339462672065, -0.026227981420006694, 0.24375617849390682, -0.42964068961488766, -0.1840656269625647, 0.07254753343295306, 0.1742791876075477, 0.18400919901933976, -0.009950119275145414, -0.3602971980552666, -0.03894643676353664, -0.10491933971189144, -0.17231833073310554, -0.1213058089473989, 0.04851635676672364, 0.06890581357406407, -0.25296370869093554, 0.07373416087612873, 0.001749197990781196, 0.10026763198988103, -0.09736175761592188, 0.035807831976676315, -0.05691021663511581, 0.09521311627155761, -0.028467928164456858, 0.005508680118066146, 0.2409177433710727, -0.1175129620994373, -0.1112492467026885, 0.4201456056794197, -0.09299662603610535, -0.19835578169809973, 0.2071756117000449, -0.2181393994733964, 0.00035209234849345396, 0.1662199272825269, 0.1623275211853225, 0.058411533501362654, -0.1546389311296502, 0.05427502968885209, 0.024884824311678728, 0.22110075639878832, 0.13539423258327765, 0.0946566899784091, 0.22540789831247998, 0.16606770780664393, 0.04316712396855398, 0.16974412942611863, -0.14528862004191045, -0.14545396535952643, -0.2466773209957088, -0.06322646800644423, -0.1815219216145257, 0.0632418078688405, -0.051173512777916964, -0.11515788961785403, 0.38899229741200986, 0.15639213958709705, 0.218622177203254, -0.09955428917778701, 0.29751759718126825, 0.18151696342066292, -0.007361179331272114, 4.672129331838067e-05, 0.3199368512212503, 0.15000910323578864, 0.10905531572359728, -0.4065531548453359, -0.001139770528846761, 0.039200037467952184] |
708.3475 | Optical sum rule anomalies in the cuprates: interplay between strong
correlation and electronic bandstructures | We theoretically analyze some of the anomalies of the optical sumrules in the
high-temperature superconductors. In particular we address the particularly
strong dependence on temperature of the sumrule in the normal state. Both
electron-electron correlations and the presence of a Van-Hove singularity have
been shown to enhance such a dependence. Here we consider both effects
simultaneously by means of Dynamical Mean-Field Theory for a two dimensional
Hubbard model with realistic parameters for different cuprates, and we find
that the two effects are not cooperative, as they appear to compete one another
in the region of parameters relevant for the experiments.
| cond-mat.str-el | we theoretically analyze some of the anomalies of the optical sumrules in the hightemperature superconductors in particular we address the particularly strong dependence on temperature of the sumrule in the normal state both electronelectron correlations and the presence of a vanhove singularity have been shown to enhance such a dependence here we consider both effects simultaneously by means of dynamical meanfield theory for a two dimensional hubbard model with realistic parameters for different cuprates and we find that the two effects are not cooperative as they appear to compete one another in the region of parameters relevant for the experiments | [['we', 'theoretically', 'analyze', 'some', 'of', 'the', 'anomalies', 'of', 'the', 'optical', 'sumrules', 'in', 'the', 'hightemperature', 'superconductors', 'in', 'particular', 'we', 'address', 'the', 'particularly', 'strong', 'dependence', 'on', 'temperature', 'of', 'the', 'sumrule', 'in', 'the', 'normal', 'state', 'both', 'electronelectron', 'correlations', 'and', 'the', 'presence', 'of', 'a', 'vanhove', 'singularity', 'have', 'been', 'shown', 'to', 'enhance', 'such', 'a', 'dependence', 'here', 'we', 'consider', 'both', 'effects', 'simultaneously', 'by', 'means', 'of', 'dynamical', 'meanfield', 'theory', 'for', 'a', 'two', 'dimensional', 'hubbard', 'model', 'with', 'realistic', 'parameters', 'for', 'different', 'cuprates', 'and', 'we', 'find', 'that', 'the', 'two', 'effects', 'are', 'not', 'cooperative', 'as', 'they', 'appear', 'to', 'compete', 'one', 'another', 'in', 'the', 'region', 'of', 'parameters', 'relevant', 'for', 'the', 'experiments']] | [-0.13748922894970747, 0.14625450659543276, -0.0714644039911218, 0.12459360707551241, -0.029571817219257356, -0.13331906484556386, 0.051114760622149334, 0.3623511189222336, -0.2550854610092938, -0.24804081005044282, 0.06175104951951653, -0.31494267609436066, -0.16331727212294936, 0.1696289457171224, 0.03511384227051167, 0.04774476204998791, -0.037374933445826174, 0.01564608839340508, -0.10776586621417664, -0.2319489169807639, 0.355815797788091, 0.014586932994425296, 0.2982680560229346, 0.11683659478090704, 0.03687400036491453, 0.01453713730443269, 0.0459472606703639, 0.07236153867095708, -0.13986450644479193, 0.03444929759949446, 0.25259416025597603, -0.0047378416045103225, 0.24727668687701226, -0.4483570611663163, -0.27497401056811216, 0.08256813128944486, 0.13626564343459904, 0.16146559309214353, -0.054755164075177165, -0.24965831121429802, 0.04382973917527124, -0.17627586903516204, -0.1174090068298392, -0.12086000864394009, -0.026599031975492834, 0.021262290640734136, -0.2755175756337121, 0.0863662163238041, 0.0412910408116295, 0.04806863985955715, -0.08298222296405583, -0.10985619948245585, -0.005730166547000409, 0.11947194742970169, 0.06098922974662855, -0.0387757458910346, 0.06887841501826188, -0.17753854718153889, -0.10428388295229524, 0.37241702182218434, -0.07332192891626618, -0.17437507237307728, 0.211301129758358, -0.18401696665445344, -0.151751370835118, 0.06559873926453293, 0.14584691695868968, 0.10412195868324488, -0.16304351036436857, 0.08410125820781104, -0.03378594820853323, 0.12637949407100676, -0.0038368384423665704, 0.10529352717567235, 0.21039248404675162, 0.16239063445245847, -0.0028388121793977918, 0.12957357439910994, -0.12810701387235895, -0.10548604446928948, -0.26996393681503833, -0.1022696007671766, -0.14664103935472667, -0.01961273408247507, -0.06894607049267507, -0.159027686296904, 0.4130250717839226, 0.20448444476991426, 0.23912093513645233, -0.04686177171766758, 0.2454880265891552, 0.13230749367154204, 0.054991644681431355, 0.020829499626997858, 0.30539869900007033, 0.10336880795890466, 0.058358727130107584, -0.2928704688418657, 0.06730637056694831, 0.022112539596855642] |
708.3476 | Mean Field Theory for Pedestrian Outflow through an Exit | An average pedestrian flow through an exit is one of the most important index
in evaluating pedestrian dynamics. In order to study the flow in detail, the
floor field model, which is a crowd model by using cellular automaton, is
extended by taking into account a realistic behavior of pedestrians around the
exit. The model is studied by both numerical simulations and cluster analysis
to obtain a theoretical expression of an average pedestrian flow through the
exit. It is found quantitatively that the effect of exit door width, a wall,
and pedestrian's mood of competition or cooperation significantly influence the
average flow. The results show that there is suitable width of the exit and
position according to pedestrian's mood.
| cond-mat.stat-mech physics.soc-ph | an average pedestrian flow through an exit is one of the most important index in evaluating pedestrian dynamics in order to study the flow in detail the floor field model which is a crowd model by using cellular automaton is extended by taking into account a realistic behavior of pedestrians around the exit the model is studied by both numerical simulations and cluster analysis to obtain a theoretical expression of an average pedestrian flow through the exit it is found quantitatively that the effect of exit door width a wall and pedestrians mood of competition or cooperation significantly influence the average flow the results show that there is suitable width of the exit and position according to pedestrians mood | [['an', 'average', 'pedestrian', 'flow', 'through', 'an', 'exit', 'is', 'one', 'of', 'the', 'most', 'important', 'index', 'in', 'evaluating', 'pedestrian', 'dynamics', 'in', 'order', 'to', 'study', 'the', 'flow', 'in', 'detail', 'the', 'floor', 'field', 'model', 'which', 'is', 'a', 'crowd', 'model', 'by', 'using', 'cellular', 'automaton', 'is', 'extended', 'by', 'taking', 'into', 'account', 'a', 'realistic', 'behavior', 'of', 'pedestrians', 'around', 'the', 'exit', 'the', 'model', 'is', 'studied', 'by', 'both', 'numerical', 'simulations', 'and', 'cluster', 'analysis', 'to', 'obtain', 'a', 'theoretical', 'expression', 'of', 'an', 'average', 'pedestrian', 'flow', 'through', 'the', 'exit', 'it', 'is', 'found', 'quantitatively', 'that', 'the', 'effect', 'of', 'exit', 'door', 'width', 'a', 'wall', 'and', 'pedestrians', 'mood', 'of', 'competition', 'or', 'cooperation', 'significantly', 'influence', 'the', 'average', 'flow', 'the', 'results', 'show', 'that', 'there', 'is', 'suitable', 'width', 'of', 'the', 'exit', 'and', 'position', 'according', 'to', 'pedestrians', 'mood']] | [-0.10733512262916467, 0.12416891486346311, -0.14453480931139795, 0.0611163778955698, -0.031188392772988863, -0.12258112495530303, 0.0321771593396591, 0.3829334553383964, -0.23758380967016263, -0.2816753471348466, 0.0978548578505146, -0.25704096023192896, -0.15061495389139765, 0.17960613148146065, -0.044576206189744616, 0.03368691274086248, 0.07182155467546349, 0.0996869180914985, 0.05282263088376582, -0.21225218166511098, 0.2662988594193168, 0.06668813011076834, 0.31889016543585463, 0.09500194971347932, 0.10343569448656019, -0.01406838242042841, -0.03491973180417754, 0.08054816148173163, -0.16824402924328202, 0.06906433695410731, 0.19480390778445333, 0.0934650494537058, 0.30238170530490516, -0.4264180956392729, -0.25642923449612215, 0.07024274487048388, 0.16540482015732458, 0.09228105947449647, -0.026106449560176173, -0.3636181515430202, 0.08739740170241028, -0.18111082718183263, -0.11064720560381767, 0.012118215531799472, 0.03776039505678722, 0.010532067724730537, -0.24433372532430364, 0.060085225145982094, 0.011650792910020892, 0.07458807614890217, -0.039086656807334856, -0.04722448023223952, -0.012567101148184106, 0.23474173804553336, 0.09375566431074678, -0.00966686209929841, 0.17405913026901668, -0.19467618634157322, -0.1005770615654207, 0.42859210878485393, -0.05797962949732553, -0.20860481918828577, 0.13196573876032308, -0.12663385971300617, -0.01796844756199407, 0.17230020117546832, 0.1869491122334319, 0.0777213549644475, -0.15163047626583265, -0.018254847455077154, -0.07703923312125399, 0.14118330861625708, 0.03768208114226826, -0.0834712666506339, 0.19517490421147907, 0.2325816595566874, 0.095360572222902, 0.14182024395108975, -0.11962710899700012, -0.17442154013277852, -0.2638808914358501, -0.12414534132000246, -0.1198300411181227, 0.010774237273002685, -0.10909204861550775, -0.10545858628108722, 0.40737417585239943, 0.16993603185445322, 0.21569183515776105, 0.06275409891391408, 0.32880637012500347, 0.13220891328685047, 0.0070286434722923435, 0.0856848706279983, 0.18472435629824882, 0.05335567086081983, 0.09988087095601969, -0.2763290192164919, 0.11107898665740773, 0.07187510557871844] |
708.3477 | The Church Synthesis Problem with Parameters | For a two-variable formula ψ(X,Y) of Monadic Logic of Order (MLO) the
Church Synthesis Problem concerns the existence and construction of an operator
Y=F(X) such that ψ(X,F(X)) is universally valid over Nat.
B\"{u}chi and Landweber proved that the Church synthesis problem is
decidable; moreover, they showed that if there is an operator F that solves the
Church Synthesis Problem, then it can also be solved by an operator defined by
a finite state automaton or equivalently by an MLO formula. We investigate a
parameterized version of the Church synthesis problem. In this version ψ
might contain as a parameter a unary predicate P. We show that the Church
synthesis problem for P is computable if and only if the monadic theory of
<Nat,<,P> is decidable. We prove that the B\"{u}chi-Landweber theorem can be
extended only to ultimately periodic parameters. However, the MLO-definability
part of the B\"{u}chi-Landweber theorem holds for the parameterized version of
the Church synthesis problem.
| cs.LO | for a twovariable formula psixy of monadic logic of order mlo the church synthesis problem concerns the existence and construction of an operator yfx such that psixfx is universally valid over nat buchi and landweber proved that the church synthesis problem is decidable moreover they showed that if there is an operator f that solves the church synthesis problem then it can also be solved by an operator defined by a finite state automaton or equivalently by an mlo formula we investigate a parameterized version of the church synthesis problem in this version psi might contain as a parameter a unary predicate p we show that the church synthesis problem for p is computable if and only if the monadic theory of natp is decidable we prove that the buchilandweber theorem can be extended only to ultimately periodic parameters however the mlodefinability part of the buchilandweber theorem holds for the parameterized version of the church synthesis problem | [['for', 'a', 'twovariable', 'formula', 'psixy', 'of', 'monadic', 'logic', 'of', 'order', 'mlo', 'the', 'church', 'synthesis', 'problem', 'concerns', 'the', 'existence', 'and', 'construction', 'of', 'an', 'operator', 'yfx', 'such', 'that', 'psixfx', 'is', 'universally', 'valid', 'over', 'nat', 'buchi', 'and', 'landweber', 'proved', 'that', 'the', 'church', 'synthesis', 'problem', 'is', 'decidable', 'moreover', 'they', 'showed', 'that', 'if', 'there', 'is', 'an', 'operator', 'f', 'that', 'solves', 'the', 'church', 'synthesis', 'problem', 'then', 'it', 'can', 'also', 'be', 'solved', 'by', 'an', 'operator', 'defined', 'by', 'a', 'finite', 'state', 'automaton', 'or', 'equivalently', 'by', 'an', 'mlo', 'formula', 'we', 'investigate', 'a', 'parameterized', 'version', 'of', 'the', 'church', 'synthesis', 'problem', 'in', 'this', 'version', 'psi', 'might', 'contain', 'as', 'a', 'parameter', 'a', 'unary', 'predicate', 'p', 'we', 'show', 'that', 'the', 'church', 'synthesis', 'problem', 'for', 'p', 'is', 'computable', 'if', 'and', 'only', 'if', 'the', 'monadic', 'theory', 'of', 'natp', 'is', 'decidable', 'we', 'prove', 'that', 'the', 'buchilandweber', 'theorem', 'can', 'be', 'extended', 'only', 'to', 'ultimately', 'periodic', 'parameters', 'however', 'the', 'mlodefinability', 'part', 'of', 'the', 'buchilandweber', 'theorem', 'holds', 'for', 'the', 'parameterized', 'version', 'of', 'the', 'church', 'synthesis', 'problem']] | [-0.11042912668831138, 0.09116577158573291, -0.09629942470622298, 0.11606257829177928, -0.10820881769330681, -0.16885291158139712, 0.04652814016031028, 0.3043839884186654, -0.3880637097172439, -0.24062676418352089, 0.12407914742959149, -0.2057274216449035, -0.12813889380700666, 0.22293778052277813, -0.14610290463315323, 0.03608850219691368, 0.04997718320335384, 0.05347982435303397, -0.047914483530085386, -0.2597837041524288, 0.3176563252590744, -0.04674445301459759, 0.17541127850142257, 0.07310870395112463, 0.11419818363471054, 0.06805278594593371, 0.05958141130088877, 0.036601865756031325, -0.09398003318490641, 0.06709500825328225, 0.3221895790805942, 0.2328876494475959, 0.307904554434476, -0.3730212842775999, -0.15536310904376718, 0.1555472539406956, 0.10664733835054856, 0.0939168419235533, -0.02546501199341085, -0.24720630932011103, 0.16778337500306262, -0.18409324291247972, -0.10449686508907594, -0.025716668558552078, 0.08438357960288781, -0.02899159275310874, -0.28361484056681785, 0.0011181989100709632, 0.20261601585202457, 0.053632643484314416, -0.10734469668731388, -0.06942410214411977, -0.020411153945851288, 0.0474446799688801, -0.04535262826615699, 0.05756199878554693, 0.036548147299694585, -0.0821063519933408, -0.17129957350890004, 0.347698022501151, -0.059430317246312224, -0.2095677213939397, 0.06554505365937457, -0.06793596066142384, -0.19331861874946443, 0.06229647715870095, 0.04270982793624219, 0.19333583992709846, -0.09132577400458486, 0.22236031342771112, -0.1658730197354759, 0.26987208093908666, 0.12999309194396788, -0.0401042016823531, 0.12493198707938734, 0.1322842174344451, 0.07331219870646141, 0.17521418280452244, 0.08077108668543301, -0.0326753405756072, -0.27409408806967184, -0.1578225130684395, -0.15028245289546535, 0.03898242474564253, -0.028427643757056916, -0.2041069342889578, 0.34297912667113306, 0.12306466699259258, 0.08967577017794706, 0.18643954417386435, 0.24981504404231122, 0.2074129907345387, 0.03761383723715545, 0.05418580256427001, 0.1302769063301017, 0.15118720112552278, 0.05537182861543873, -0.2056615186156705, 0.1218421844548031, 0.19913886712655718] |
708.3478 | Feedback from Multiple Supernova Explosions inside a Wind-Blown Bubble | We study the evolution of multiple supernova (SN) explosions inside a
pre-exiting cavity blown by winds from massive progenitor stars. Hydrodynamic
simulations in one-dimensional spherical geometry, including radiative cooling
and thermal conduction, are carried out to follow first the development of the
wind-blown bubble during the main sequence and then the evolution of the
SN-driven bubble. We find the size and mass of the SN-driven bubble shell
depend on the structure of the pre-existing wind bubble as well as the SN
explosion energy E_{SN} (= N_{SN} 10^{51} ergs). The hot cavity inside the
bubble is 2-3 times bigger in volume and hotter than that of a bubble created
by SNe exploded in a uniform interstellar medium (ISM). For an association with
10 massive stars in the average ISM, the SN-driven shell has an outer radius of
R_{ss} ~ (85 pc) N_{SN}^{0.1} and a mass of M_{ss} ~ (10^{4.8} Msun)
N_{SN}^{0.3}at 10^6 years after the explosion. By that time most of the
explosion energy is lost via radiative cooling, while ~10% remains as kinetic
energy and ~10% as thermal energy. We also calculate the total integrated
spectrum of diffuse radiation emitted by the shock-heated gas of the SN bubble.
For the models with 0.1 solar metalicity, the radiative energy loss is smaller
and the fraction of non-ionizing photons is larger, compared to those with
solar metalicity. We conclude the photoionization/heating by diffuse radiation
is the most dominant form of feedback from SN explosions into the surrounding
medium.
| astro-ph | we study the evolution of multiple supernova sn explosions inside a preexiting cavity blown by winds from massive progenitor stars hydrodynamic simulations in onedimensional spherical geometry including radiative cooling and thermal conduction are carried out to follow first the development of the windblown bubble during the main sequence and then the evolution of the sndriven bubble we find the size and mass of the sndriven bubble shell depend on the structure of the preexisting wind bubble as well as the sn explosion energy e_sn n_sn 1051 ergs the hot cavity inside the bubble is 23 times bigger in volume and hotter than that of a bubble created by sne exploded in a uniform interstellar medium ism for an association with 10 massive stars in the average ism the sndriven shell has an outer radius of r_ss 85 pc n_sn01 and a mass of m_ss 1048 msun n_sn03at 106 years after the explosion by that time most of the explosion energy is lost via radiative cooling while 10 remains as kinetic energy and 10 as thermal energy we also calculate the total integrated spectrum of diffuse radiation emitted by the shockheated gas of the sn bubble for the models with 01 solar metalicity the radiative energy loss is smaller and the fraction of nonionizing photons is larger compared to those with solar metalicity we conclude the photoionizationheating by diffuse radiation is the most dominant form of feedback from sn explosions into the surrounding medium | [['we', 'study', 'the', 'evolution', 'of', 'multiple', 'supernova', 'sn', 'explosions', 'inside', 'a', 'preexiting', 'cavity', 'blown', 'by', 'winds', 'from', 'massive', 'progenitor', 'stars', 'hydrodynamic', 'simulations', 'in', 'onedimensional', 'spherical', 'geometry', 'including', 'radiative', 'cooling', 'and', 'thermal', 'conduction', 'are', 'carried', 'out', 'to', 'follow', 'first', 'the', 'development', 'of', 'the', 'windblown', 'bubble', 'during', 'the', 'main', 'sequence', 'and', 'then', 'the', 'evolution', 'of', 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708.3479 | Possible nodeless superconductivity in the noncentrosymmetric
superconductor Mg_(12-delta)Ir_19B_16 | We measured the resistivity, diamagnetization, and low-temperature specific
heat of the newly discovered noncentrosymmetric superconductor
Mg_(12-delta)Ir_19B_16. The temperature dependence of specific heat is
consistent with the model of an isotropic s-wave gap with value Delta_0 = 0.94
meV for the sample Tc = 5.7 K, and the ratio Delta_0/k_BTc = 1.91 indicates a
slightly moderate coupling for the superconductivity. The correlations among
the normal state Sommerfeld constant gamma_n, the slope -dHc2(T)/dT near Tc,
and the condensation energy Ec are all consistent with the slightly moderate
coupling picture. Based on the data of phonon contribution, Tc and the McMillan
formula, we obtained an electron-phonon coupling strength lambda_(e-ph) = 0.66,
which suggests that the superconductivity here is induced by the
electron-phonon coupling.
| cond-mat.supr-con | we measured the resistivity diamagnetization and lowtemperature specific heat of the newly discovered noncentrosymmetric superconductor mg_12deltair_19b_16 the temperature dependence of specific heat is consistent with the model of an isotropic swave gap with value delta_0 094 mev for the sample tc 57 k and the ratio delta_0k_btc 191 indicates a slightly moderate coupling for the superconductivity the correlations among the normal state sommerfeld constant gamma_n the slope dhc2tdt near tc and the condensation energy ec are all consistent with the slightly moderate coupling picture based on the data of phonon contribution tc and the mcmillan formula we obtained an electronphonon coupling strength lambda_eph 066 which suggests that the superconductivity here is induced by the electronphonon coupling | [['we', 'measured', 'the', 'resistivity', 'diamagnetization', 'and', 'lowtemperature', 'specific', 'heat', 'of', 'the', 'newly', 'discovered', 'noncentrosymmetric', 'superconductor', 'mg_12deltair_19b_16', 'the', 'temperature', 'dependence', 'of', 'specific', 'heat', 'is', 'consistent', 'with', 'the', 'model', 'of', 'an', 'isotropic', 'swave', 'gap', 'with', 'value', 'delta_0', '094', 'mev', 'for', 'the', 'sample', 'tc', '57', 'k', 'and', 'the', 'ratio', 'delta_0k_btc', '191', 'indicates', 'a', 'slightly', 'moderate', 'coupling', 'for', 'the', 'superconductivity', 'the', 'correlations', 'among', 'the', 'normal', 'state', 'sommerfeld', 'constant', 'gamma_n', 'the', 'slope', 'dhc2tdt', 'near', 'tc', 'and', 'the', 'condensation', 'energy', 'ec', 'are', 'all', 'consistent', 'with', 'the', 'slightly', 'moderate', 'coupling', 'picture', 'based', 'on', 'the', 'data', 'of', 'phonon', 'contribution', 'tc', 'and', 'the', 'mcmillan', 'formula', 'we', 'obtained', 'an', 'electronphonon', 'coupling', 'strength', 'lambda_eph', '066', 'which', 'suggests', 'that', 'the', 'superconductivity', 'here', 'is', 'induced', 'by', 'the', 'electronphonon', 'coupling']] | [-0.18612069642352583, 0.22141187254517686, -0.0072985195165368175, 0.025439868419455874, -0.06701865566372088, -0.16716096785117304, 0.16218655780617114, 0.3242067418728782, -0.22598625108006254, -0.30999001066109777, -0.04150022201207096, -0.37905099598971087, -0.037303074324849694, 0.19273660500715198, 0.08710183421627873, 0.002535987665992131, -0.05787780808606308, 0.03839324426268582, -0.12115527142820039, -0.1982106575536319, 0.3291341639206275, 0.07824696155792449, 0.35264650466481007, 0.14520171672348922, -0.008840072330342919, -0.0383379292464197, 0.11869226105148549, 0.016702544034780126, -0.21212427727127317, 0.021801161958910194, 0.22349575786249695, -0.11753784883684948, 0.14745650517927333, -0.3003924923690229, -0.18716123833658949, 0.029907080822879763, 0.08445440171352397, 0.06947864653373681, -0.03748207496977782, -0.25303120803978063, 0.023448663504085445, -0.13945701551228037, -0.11195922682815916, -0.04269251135894946, -0.00446229292887502, -0.059423516077953764, -0.285440970216342, 0.19104243976484359, 0.04970949201997106, 0.11516801156598118, -0.13018367635560082, -0.2115767039358616, -0.060687960372759704, -0.030017798916906514, 0.08106721839888137, 0.08837620657250549, 0.12437752095350905, -0.11930507004046731, -0.007221722311908956, 0.3096660709222861, -0.1338580862693159, -0.010028210963097821, 0.11832314965611868, -0.15165060055153692, -0.04732704472489062, 0.19089255045143377, 0.04600676707562834, 0.07554226945179095, -0.16766934314396528, 0.08151047554617105, -0.008746134904336877, 0.20814875518672366, 0.008742152981097456, 0.047073627261659215, 0.19185119133496212, 0.18280035158747032, -0.009727377032416057, 0.1097659055232194, -0.15019466620931748, -0.01834367573739285, -0.2719646649068403, -0.14107345237470834, -0.20481984392303018, 0.07798412357316872, -0.17024197750796968, -0.13229453527838386, 0.3389054833523995, 0.13533661479106693, 0.2340207392003684, 0.014193035209905851, 0.1742485799966792, 0.1794104821968667, 0.10234176248221337, 0.12080865543731283, 0.31351394140351135, 0.20749247459224962, 0.12541936473525336, -0.3645115345675268, 0.09356797329949594, -0.010343179963858782] |
708.348 | On the Theory of Surfaces in the Four-dimensional Euclidean Space | For a two-dimensional surface in the four-dimensional Euclidean space we
introduce an invariant linear map of Weingarten type in the tangent space of
the surface, which generates two invariants k and kappa.
The condition k = kappa = 0 characterizes the surfaces consisting of flat
points. The minimal surfaces are characterized by the equality kappa^2=k. The
class of the surfaces with flat normal connection is characterized by the
condition kappa = 0. For the surfaces of general type we obtain a geometrically
determined orthonormal frame field at each point and derive Frenet-type
derivative formulas.
We apply our theory to the class of the rotational surfaces, which prove to
be surfaces with flat normal connection, and describe the rotational surfaces
with constant invariants.
| math.DG | for a twodimensional surface in the fourdimensional euclidean space we introduce an invariant linear map of weingarten type in the tangent space of the surface which generates two invariants k and kappa the condition k kappa 0 characterizes the surfaces consisting of flat points the minimal surfaces are characterized by the equality kappa2k the class of the surfaces with flat normal connection is characterized by the condition kappa 0 for the surfaces of general type we obtain a geometrically determined orthonormal frame field at each point and derive frenettype derivative formulas we apply our theory to the class of the rotational surfaces which prove to be surfaces with flat normal connection and describe the rotational surfaces with constant invariants | [['for', 'a', 'twodimensional', 'surface', 'in', 'the', 'fourdimensional', 'euclidean', 'space', 'we', 'introduce', 'an', 'invariant', 'linear', 'map', 'of', 'weingarten', 'type', 'in', 'the', 'tangent', 'space', 'of', 'the', 'surface', 'which', 'generates', 'two', 'invariants', 'k', 'and', 'kappa', 'the', 'condition', 'k', 'kappa', '0', 'characterizes', 'the', 'surfaces', 'consisting', 'of', 'flat', 'points', 'the', 'minimal', 'surfaces', 'are', 'characterized', 'by', 'the', 'equality', 'kappa2k', 'the', 'class', 'of', 'the', 'surfaces', 'with', 'flat', 'normal', 'connection', 'is', 'characterized', 'by', 'the', 'condition', 'kappa', '0', 'for', 'the', 'surfaces', 'of', 'general', 'type', 'we', 'obtain', 'a', 'geometrically', 'determined', 'orthonormal', 'frame', 'field', 'at', 'each', 'point', 'and', 'derive', 'frenettype', 'derivative', 'formulas', 'we', 'apply', 'our', 'theory', 'to', 'the', 'class', 'of', 'the', 'rotational', 'surfaces', 'which', 'prove', 'to', 'be', 'surfaces', 'with', 'flat', 'normal', 'connection', 'and', 'describe', 'the', 'rotational', 'surfaces', 'with', 'constant', 'invariants']] | [-0.19047361193619416, 0.14587726395577685, -0.06543975337694588, 0.03795970158781698, -0.06603042803452176, -0.1733272406351516, 0.003473061491080197, 0.3382270838789074, -0.28654744359072676, -0.23954229676894748, 0.06675875151206313, -0.2345588350337062, -0.15440857801902091, 0.18101485964044992, -0.07850461417818501, 0.005343482857254349, -0.029604555545690452, 0.05512475970958881, -0.15642043489615542, -0.22586306270361894, 0.4150496935195653, -0.04605898304873983, 0.25221798895716163, 0.0035871902038737877, 0.1271732174041602, -0.008783832863288916, 0.013501611514553681, 0.03562102091875543, -0.25413096468832536, 0.15276928417684543, 0.22133996520365068, 0.016146089540305154, 0.1354803147620198, -0.3623484695267122, -0.22830910313779773, 0.11186771751065755, 0.03335387958608315, 0.04264450357374498, 0.009715487223544742, -0.2517589437222834, 0.08002032565102929, -0.05492050858151357, -0.24105650706066734, -0.07043258840281327, 0.03415372283533374, -0.001962945918884065, -0.21326862445290565, 0.05172316160573924, 0.10707114902877454, 0.10890993012620484, -0.0968191943770685, -0.07422070541336218, -0.09659672635252256, 0.08093978962229596, 0.038001767243258655, 0.050487670376581154, 0.06300996974953134, -0.08001934897975396, -0.06007020413023183, 0.3645929024886277, -0.13188466820786943, -0.2720463483293947, 0.1437146414694834, -0.1601324183688799, -0.09087921977950797, 0.14361360752481217, 0.117909025246972, 0.18858913406019367, -0.0885189068700992, 0.19418125777846693, -0.04583994073051391, 0.08172364124236037, 0.10727289729649044, -0.012806074594648682, 0.20128395166879487, 0.061446695706917576, 0.09202971835857478, 0.15955432627440858, -0.1008904842715079, -0.054562271541079226, -0.38660999617965547, -0.2590853948209245, -0.15479708920130347, 0.0705411079955303, -0.11662648272095347, -0.20371639144496392, 0.3674124831065409, -0.03255252611933876, 0.2247160317502537, 0.11794490540089131, 0.18682956004957274, 0.1087943470723122, 0.020921394830743262, 0.11879197494679336, 0.18328493931015039, 0.16097706978177748, -0.014411855122011345, -0.16032429177598176, -0.01717164763644085, 0.14889498014137212] |
708.3481 | Formation of Multipartite Entanglement Using Random Quantum Gates | The formation of multipartite quantum entanglement by repeated operation of
one and two qubit gates is examined. The resulting entanglement is evaluated
using two measures: the average bipartite entanglement and the Groverian
measure. A comparison is made between two geometries of the quantum register: a
one dimensional chain in which two-qubit gates apply only locally between
nearest neighbors and a non-local geometry in which such gates may apply
between any pair of qubits. More specifically, we use a combination of random
single qubit rotations and a fixed two-qubit gate such as the controlled-phase
gate. It is found that in the non-local geometry the entanglement is generated
at a higher rate. In both geometries, the Groverian measure converges to its
asymptotic value more slowly than the average bipartite entanglement. These
results are expected to have implications on different proposed geometries of
future quantum computers with local and non-local interactions between the
qubits.
| quant-ph | the formation of multipartite quantum entanglement by repeated operation of one and two qubit gates is examined the resulting entanglement is evaluated using two measures the average bipartite entanglement and the groverian measure a comparison is made between two geometries of the quantum register a one dimensional chain in which twoqubit gates apply only locally between nearest neighbors and a nonlocal geometry in which such gates may apply between any pair of qubits more specifically we use a combination of random single qubit rotations and a fixed twoqubit gate such as the controlledphase gate it is found that in the nonlocal geometry the entanglement is generated at a higher rate in both geometries the groverian measure converges to its asymptotic value more slowly than the average bipartite entanglement these results are expected to have implications on different proposed geometries of future quantum computers with local and nonlocal interactions between the qubits | [['the', 'formation', 'of', 'multipartite', 'quantum', 'entanglement', 'by', 'repeated', 'operation', 'of', 'one', 'and', 'two', 'qubit', 'gates', 'is', 'examined', 'the', 'resulting', 'entanglement', 'is', 'evaluated', 'using', 'two', 'measures', 'the', 'average', 'bipartite', 'entanglement', 'and', 'the', 'groverian', 'measure', 'a', 'comparison', 'is', 'made', 'between', 'two', 'geometries', 'of', 'the', 'quantum', 'register', 'a', 'one', 'dimensional', 'chain', 'in', 'which', 'twoqubit', 'gates', 'apply', 'only', 'locally', 'between', 'nearest', 'neighbors', 'and', 'a', 'nonlocal', 'geometry', 'in', 'which', 'such', 'gates', 'may', 'apply', 'between', 'any', 'pair', 'of', 'qubits', 'more', 'specifically', 'we', 'use', 'a', 'combination', 'of', 'random', 'single', 'qubit', 'rotations', 'and', 'a', 'fixed', 'twoqubit', 'gate', 'such', 'as', 'the', 'controlledphase', 'gate', 'it', 'is', 'found', 'that', 'in', 'the', 'nonlocal', 'geometry', 'the', 'entanglement', 'is', 'generated', 'at', 'a', 'higher', 'rate', 'in', 'both', 'geometries', 'the', 'groverian', 'measure', 'converges', 'to', 'its', 'asymptotic', 'value', 'more', 'slowly', 'than', 'the', 'average', 'bipartite', 'entanglement', 'these', 'results', 'are', 'expected', 'to', 'have', 'implications', 'on', 'different', 'proposed', 'geometries', 'of', 'future', 'quantum', 'computers', 'with', 'local', 'and', 'nonlocal', 'interactions', 'between', 'the', 'qubits']] | [-0.15356601806957312, 0.17421037287124438, -0.04417700196704241, 0.050749775650602645, 0.050057338011013155, -0.25742984740125224, 0.051558202010770604, 0.4065162723032844, -0.20913737675557467, -0.2625539185978867, 0.059021357878647894, -0.289905638964415, -0.11311272532364589, 0.22557564748340095, -0.01556599715613569, 0.0853517047119549, 0.04886760169159103, 0.053206443552248524, -0.11820661236334666, -0.287614080438156, 0.2903963098647875, 0.009976118735950563, 0.2982698045316344, 0.024805038793872893, 0.09612759644865669, 0.0033436197828384277, 0.0441849103555182, 0.0222607326465628, -0.08862353333844286, 0.11519084942360587, 0.23487446093715925, 0.10217979554987408, 0.24816414547640064, -0.442350966991573, -0.1724718256178158, 0.12683196665968943, 0.06278458719345316, 0.1832799290041655, -0.005431244924043102, -0.309997283699398, 0.01380511696970041, -0.18232152512488234, -0.049578950398089676, -0.08201481166391307, 0.04387911074850338, -0.02212140242266931, -0.2476430846199344, 0.06782667393008222, 0.05810708049623086, 0.03638623303900294, 0.0539318303391029, 0.0024835871153245895, -0.03508785231939412, 0.15007015677872082, -0.07960024063586449, 0.010524086777540232, 0.1650833796049832, -0.09474459334049376, -0.20416998636942751, 0.31268369058603485, -0.03181267222468603, -0.23620137429352084, 0.20583231077800868, -0.14383282110832063, -0.06314714680061928, 0.003315519300961731, 0.11297058301441223, 0.130017087227412, -0.15013856816395427, 0.04635157426688142, -0.0013566486142723765, 0.2029428014544067, 0.08339262670152728, 0.12006638237639078, 0.18830899411306673, 0.0916174842393186, 0.14616282147799453, 0.22866336929315811, -0.07469310537628238, -0.16945809317098942, -0.308273731983754, -0.1914569522911029, -0.25865875110369396, 0.11107780385935148, -0.13776596052067536, -0.12503119561179782, 0.4175679407804119, 0.100710179283026, 0.1791584446489663, 0.018993289168270318, 0.26877891310546176, 0.1027852757918704, 0.09105584266385841, 0.08828468342305512, 0.22575637182553873, 0.17991841299033767, 0.0041551245345629205, -0.2731580536023078, 0.06183730508432113, 0.04647939586210133] |
708.3482 | Designing a Spin Channel for Perfect Quantum Communication | We propose a scheme for using a spin chain with fixed symmetry interaction as
a channel for perfect quantum communication. The perfect quantum communication
is determined by the eigenvalues that form a special arithmetical progression,
the concrete interaction parameter $J_i$ is obtained as a function of integer
and perfect transmission time $t_p$. There are infinite choices of $J_i$ for
perfect transmission and one can design the channel according to the
requirement of $t_p$. This scheme will provide more choices of spin chain for
future experiment in quantum communication.
| quant-ph | we propose a scheme for using a spin chain with fixed symmetry interaction as a channel for perfect quantum communication the perfect quantum communication is determined by the eigenvalues that form a special arithmetical progression the concrete interaction parameter j_i is obtained as a function of integer and perfect transmission time t_p there are infinite choices of j_i for perfect transmission and one can design the channel according to the requirement of t_p this scheme will provide more choices of spin chain for future experiment in quantum communication | [['we', 'propose', 'a', 'scheme', 'for', 'using', 'a', 'spin', 'chain', 'with', 'fixed', 'symmetry', 'interaction', 'as', 'a', 'channel', 'for', 'perfect', 'quantum', 'communication', 'the', 'perfect', 'quantum', 'communication', 'is', 'determined', 'by', 'the', 'eigenvalues', 'that', 'form', 'a', 'special', 'arithmetical', 'progression', 'the', 'concrete', 'interaction', 'parameter', 'j_i', 'is', 'obtained', 'as', 'a', 'function', 'of', 'integer', 'and', 'perfect', 'transmission', 'time', 't_p', 'there', 'are', 'infinite', 'choices', 'of', 'j_i', 'for', 'perfect', 'transmission', 'and', 'one', 'can', 'design', 'the', 'channel', 'according', 'to', 'the', 'requirement', 'of', 't_p', 'this', 'scheme', 'will', 'provide', 'more', 'choices', 'of', 'spin', 'chain', 'for', 'future', 'experiment', 'in', 'quantum', 'communication']] | [-0.24354963173259006, 0.18208202766254544, -0.0674166995397007, 0.022766573668129488, -0.05616287589972754, -0.2523119679747403, 0.06002324699180794, 0.38617598405107856, -0.27517809018238704, -0.2526507412337444, 0.08452645493327343, -0.256748264049582, -0.11106227432504635, 0.16844200891103933, 0.009247285282154653, 0.08238480342763731, 0.04513470341440883, 0.08884690249297736, -0.06417252992502075, -0.22713842964731157, 0.2968630327694965, 0.0610553245179207, 0.2588616066522346, 0.04773422616893764, 0.10749446971087971, 0.09741262154420838, 0.05126929080870468, -0.026842607072219173, -0.1835679324551, 0.05434227544835515, 0.31782749234248925, 0.10523092568936673, 0.2320872252299027, -0.41405597392638976, -0.21337288243442096, 0.10603650418025526, 0.1251416751765646, 0.11720190377143974, -0.05561613180725544, -0.22047111728567292, 0.0927769058213347, -0.20333890180865472, -0.10901103130097246, -0.007219248509500176, 0.0025216314983977513, -0.0015860271047462118, -0.33966337131674995, 0.033135274874935436, 0.041918235873295503, 0.06687806293749335, 0.011705751168351113, -0.0962868797148324, 0.018609047528694977, 0.12820273436161436, -0.05192002746149559, -0.006195846415886825, 0.06662099980563983, -0.11339208312512544, -0.1595105805899948, 0.38651551331647416, -0.029897259654138576, -0.22641943663521405, 0.0984879187427313, -0.07352989359721752, -0.05724835610123013, 0.09910617096333722, 0.11063460399269719, 0.061851598248309034, -0.11040125497278165, 0.08434014525978868, -0.037466074112506416, 0.1568214692260054, 0.06889674947358965, 0.08678906316212802, 0.18746184909038924, 0.12913935727820816, 0.11530593927653338, 0.1353406882633201, -0.026912909890101713, -0.13515600903933359, -0.3408403502861885, -0.19813986095091837, -0.22843820045024835, 0.10762676308778199, -0.10195976985315527, -0.11415236303582788, 0.36729223177983594, 0.09471046923204085, 0.17437431649622423, 0.06034946088435721, 0.2973036502318626, 0.14171074552789584, 0.026823671920944682, 0.024367579618807544, 0.16806920016692442, 0.1314840966740369, 0.0440174250186167, -0.2119553453521803, 0.06474679997402498, 0.02237904048524797] |
708.3483 | An Ideal Channel of Long Distance Entanglement in Spin Systems | We propose a scheme for using spin chain to realize an ideal channel of long
distance entanglement. The results show that there has different entanglement
in different Hilbert subspace, the anisotropic parameter $\Delta$ will
frustrate the entanglement and the magnetic field affect the entanglement
through changing the ground state, the boundary entanglement $C_{1N}$ has the
simplest expression in the simplest subspace and it only depend on the first
item of the ground state, that item can be increased when a local magnetic
field is introduced. Our propose can be handled easily because it only needs a
uniform XX open chain initialized in the simplest Hilbert subspace and a bulk
magnetic field that absent for the boundary qubits.
| quant-ph | we propose a scheme for using spin chain to realize an ideal channel of long distance entanglement the results show that there has different entanglement in different hilbert subspace the anisotropic parameter delta will frustrate the entanglement and the magnetic field affect the entanglement through changing the ground state the boundary entanglement c_1n has the simplest expression in the simplest subspace and it only depend on the first item of the ground state that item can be increased when a local magnetic field is introduced our propose can be handled easily because it only needs a uniform xx open chain initialized in the simplest hilbert subspace and a bulk magnetic field that absent for the boundary qubits | [['we', 'propose', 'a', 'scheme', 'for', 'using', 'spin', 'chain', 'to', 'realize', 'an', 'ideal', 'channel', 'of', 'long', 'distance', 'entanglement', 'the', 'results', 'show', 'that', 'there', 'has', 'different', 'entanglement', 'in', 'different', 'hilbert', 'subspace', 'the', 'anisotropic', 'parameter', 'delta', 'will', 'frustrate', 'the', 'entanglement', 'and', 'the', 'magnetic', 'field', 'affect', 'the', 'entanglement', 'through', 'changing', 'the', 'ground', 'state', 'the', 'boundary', 'entanglement', 'c_1n', 'has', 'the', 'simplest', 'expression', 'in', 'the', 'simplest', 'subspace', 'and', 'it', 'only', 'depend', 'on', 'the', 'first', 'item', 'of', 'the', 'ground', 'state', 'that', 'item', 'can', 'be', 'increased', 'when', 'a', 'local', 'magnetic', 'field', 'is', 'introduced', 'our', 'propose', 'can', 'be', 'handled', 'easily', 'because', 'it', 'only', 'needs', 'a', 'uniform', 'xx', 'open', 'chain', 'initialized', 'in', 'the', 'simplest', 'hilbert', 'subspace', 'and', 'a', 'bulk', 'magnetic', 'field', 'that', 'absent', 'for', 'the', 'boundary', 'qubits']] | [-0.1567395680830774, 0.1916091654452935, -0.037801589673528306, 0.05741916506642746, -0.049464991471170984, -0.21270049094325966, 0.006461476630523291, 0.37595155293870175, -0.29239366802140176, -0.21917597296982047, 0.11421645675820913, -0.22569678497747478, -0.0812415479360005, 0.15789475633054334, -0.016615255433333736, 0.026889214387688883, 0.07391266356835254, 0.09406159631111938, -0.06471421542024224, -0.25182268922973394, 0.3461643000189056, 0.022851221239528596, 0.29027175393082905, 0.04923096203651184, 0.11437429347210842, 0.02741684426720708, 0.08001213691109775, 0.045228000113374404, -0.12390139298089412, 0.07109429841089007, 0.24369417886154202, 0.08495360791969758, 0.23905416194381368, -0.44595124325754804, -0.21050819787236616, 0.13432846649780741, 0.16350035316064063, 0.16764304293399182, 0.0032923918388561052, -0.3053372828269966, 0.02463772661713326, -0.17382973985762423, -0.09520698095170352, -0.10846928103118499, -0.003069664384477223, -0.06171461880907544, -0.2752477768251402, 0.062357598576400206, 0.04096911021739117, 0.029101957893397055, -0.045000936469843246, -0.05792232929593605, -0.03806727122849761, 0.12973227809928556, 0.016823479440063238, 0.10253255856701006, 0.12294120383329499, -0.11310180283796328, -0.09000262497072546, 0.3191471775261383, -0.06935289391798055, -0.2358166225051555, 0.16167516875902638, -0.14256523981984928, -0.10293410862517408, 0.08391189376543014, 0.08548724427361551, 0.09060041711100528, -0.1201474748808805, 0.13372087628136858, -0.06646497544243486, 0.19167956016245338, 0.0025912433082604, 0.07476721881116685, 0.18796212494405162, 0.10980666991378953, 0.10686688131601033, 0.18614935827079332, -0.09048048852799603, -0.09780923985581622, -0.27000161653591526, -0.2122650304172411, -0.27688931761325425, 0.056258900759693906, -0.10567219331067028, -0.16044110236450648, 0.4332338192577722, 0.15201415696519222, 0.18302905432975444, -0.04960760770118835, 0.2642226827900029, 0.11670089039939623, 0.06396837196209365, 0.10273154976411572, 0.2567402813106011, 0.09822350420439854, 0.05955383731609481, -0.252538885622739, 0.08232272315459947, 0.057388671442993686] |
708.3484 | (p,q)-string in matrix-regularized membrane and type IIB duality | We consider a lightcone wrapped supermembrane compactified on 2-torus in the
matrix regularization. We examine the double dimensional reduction technique
and deduce the free matrix string of (p,q)-string in type IIB superstring
theory explicitly from the matrix-regularized wrapped supermembrane. In
addition we obtain the (2+1)-dimensional super Yang-Mills action in curved
background. We also examine the duality.
| hep-th | we consider a lightcone wrapped supermembrane compactified on 2torus in the matrix regularization we examine the double dimensional reduction technique and deduce the free matrix string of pqstring in type iib superstring theory explicitly from the matrixregularized wrapped supermembrane in addition we obtain the 21dimensional super yangmills action in curved background we also examine the duality | [['we', 'consider', 'a', 'lightcone', 'wrapped', 'supermembrane', 'compactified', 'on', '2torus', 'in', 'the', 'matrix', 'regularization', 'we', 'examine', 'the', 'double', 'dimensional', 'reduction', 'technique', 'and', 'deduce', 'the', 'free', 'matrix', 'string', 'of', 'pqstring', 'in', 'type', 'iib', 'superstring', 'theory', 'explicitly', 'from', 'the', 'matrixregularized', 'wrapped', 'supermembrane', 'in', 'addition', 'we', 'obtain', 'the', '21dimensional', 'super', 'yangmills', 'action', 'in', 'curved', 'background', 'we', 'also', 'examine', 'the', 'duality']] | [-0.10440737892111594, 0.1210850442675027, -0.06846680499782616, 0.15916169637983496, -0.05654267589138313, -0.14365699422461065, -0.016333651366982272, 0.32938430332578716, -0.18785786693069068, -0.151951136846434, 0.10685580130243166, -0.2517322906377641, -0.2328172492371364, 0.04032464568418535, -0.1768088093704798, -0.042082162624733015, 0.011126316643574021, 0.10949650884351947, -0.2008021719245748, -0.2835100482514297, 0.3892941550182348, -0.03876178841191259, 0.3418085820972919, 0.03152878392826427, 0.1546980185772885, 0.0757276124003428, -0.05743728859180754, -0.013939756112681194, -0.14536086923630634, 0.1443039806665514, 0.18266916241158138, 0.08323532128706575, 0.007361546937714923, -0.5158612899143588, -0.2515967118977146, 0.05272765479643236, 0.19750969638328322, 0.16490986867045815, 0.012665190208512781, -0.25340503951195964, 0.01344140746461397, -0.22131248319690877, -0.21354562121189452, -0.04329269919967787, -0.03506276219744574, -0.11938113830983639, -0.186220372332768, 0.05403293422370387, -0.02474127123979005, 0.013808767633004622, -0.06311587003821677, -0.03688194798517295, -0.045060879787938164, 0.04399977573616938, 0.14292275337290697, 0.07211046880957755, 0.13333122975785625, -0.175652762182422, -0.12385179447962648, 0.3213304396041415, -0.13684572206640785, -0.27846521403301844, 0.08171639919958332, -0.13402698282152414, -0.23403592313724486, 0.05803112258965319, 0.1269957677461207, 0.20475220527838578, -0.11077252633192322, 0.3141101812763902, -0.05795954418029975, 0.10842952973801981, 0.14845742454582994, 0.0271075491708788, 0.19286008231680501, 0.1322690595957366, 0.01428933378986337, 0.2098101807250218, -0.10066849199462344, -0.1415940591726791, -0.445749597590078, -0.1322975873269818, -0.03164276848970489, 0.2287984634326263, -0.20913273057958576, -0.21754670082168145, 0.3104429444806142, 0.07429888719502328, 0.14133614504032516, 0.03248106303032149, 0.12250251238319007, 0.08130979291586714, 0.03929438297636807, 0.04463358003307472, 0.20317970253527165, 0.2303382349708541, 0.06042708514207995, -0.2669094873211262, -0.278080828411674, 0.33949913704259826] |
708.3485 | Unparticle decay of neutrinos and it's effect on ultra high energy
neutrinos | The unparticle is proposed by Georgi as a conceptual new physics beyond the
standard model to describe the low energy sector of a nontrivial scale
invariant sector of an effective theory. We consider the neutrino decay in
unparticle scenario and investigate the effect of such decay for the case of
ultra high energy neutrinos from GRB. The effect on the detection yield of
these neutrinos are also probed for a kilometer scale ice-Cerenkov detector.
| hep-ph | the unparticle is proposed by georgi as a conceptual new physics beyond the standard model to describe the low energy sector of a nontrivial scale invariant sector of an effective theory we consider the neutrino decay in unparticle scenario and investigate the effect of such decay for the case of ultra high energy neutrinos from grb the effect on the detection yield of these neutrinos are also probed for a kilometer scale icecerenkov detector | [['the', 'unparticle', 'is', 'proposed', 'by', 'georgi', 'as', 'a', 'conceptual', 'new', 'physics', 'beyond', 'the', 'standard', 'model', 'to', 'describe', 'the', 'low', 'energy', 'sector', 'of', 'a', 'nontrivial', 'scale', 'invariant', 'sector', 'of', 'an', 'effective', 'theory', 'we', 'consider', 'the', 'neutrino', 'decay', 'in', 'unparticle', 'scenario', 'and', 'investigate', 'the', 'effect', 'of', 'such', 'decay', 'for', 'the', 'case', 'of', 'ultra', 'high', 'energy', 'neutrinos', 'from', 'grb', 'the', 'effect', 'on', 'the', 'detection', 'yield', 'of', 'these', 'neutrinos', 'are', 'also', 'probed', 'for', 'a', 'kilometer', 'scale', 'icecerenkov', 'detector']] | [-0.08422751991996823, 0.23063134624840442, -0.05655882864782255, 0.21840050980633713, -0.06547213648445904, -0.11308155916886378, 0.00498453578720354, 0.2707660705718684, -0.2425975973258586, -0.33234964742338, 0.0508217943484627, -0.2884641187137937, -0.08227024019427903, 0.17586703174938895, 0.06698669137254562, 0.03152233570150725, 0.020207089046654227, 0.03834732938302706, -0.04822463238586302, -0.18379909637358602, 0.32113510956477426, 0.15064466750721306, 0.2576977635892459, 0.1058217889744125, 0.13214819332304067, -0.030869605880843042, -0.03269727474831249, -0.06369843581461743, -0.11093928855014583, 0.06380194747080542, 0.16442450286488827, 0.09059453805053785, 0.15731572658333876, -0.3992553940425589, -0.24124303277683992, 0.15468975087653283, 0.1250645832592392, 0.08727327732956164, -0.10162023098482303, -0.32397875706154905, 0.06086057521823845, -0.25029596632780277, -0.14059412180229205, -0.030609005475289202, -0.06053137185996118, -0.07964909640587356, -0.2606943394408293, 0.08353000138774641, -0.030298037709642765, 0.009319059116995498, -0.02156474545266326, -0.11128424928357748, 0.05076542776715878, 0.03469742018703933, 0.1319745061464595, -0.02799173245487148, 0.132386837916908, -0.21678782008231096, -0.11913927277065303, 0.4348029462646132, -0.13307388827255737, -0.14581471170643218, 0.16118366821120456, -0.1626385068967428, -0.1425721463300798, 0.11638238823219929, 0.23248204548064977, 0.060995594260270056, -0.15931114229080204, 0.1755428541326506, -0.04835334209699745, 0.13238135277459476, 0.013438834786440616, 0.10100438546593467, 0.2618461231356614, 0.2629681780985365, 0.09111368431620402, 0.061768787989571486, -0.13754667869883858, -0.02672132614311086, -0.3806245500757678, -0.14500624992667813, -0.15023047951279744, 0.07372265459637936, -0.0640444128695566, -0.11214630851164868, 0.4509304059056999, 0.1399735632824571, 0.18342494904318798, 0.02244441437037432, 0.27262680546367823, 0.09150516943310782, 0.09630191835179312, 0.015130473402877376, 0.35272441634729707, 0.08499562185678682, 0.1020098069542381, -0.2343713095035302, -0.013818339572275339, 0.062086942956514964] |
708.3486 | On topological spaces possessing uniformly distributed sequences | Two classes of topological spaces are introduced on which every probability
Radon measure possesses a uniformly distributed sequence or a uniformly tight
uniformly distributed sequence. It is shown that these classes are stable under
multiplication by completely regular Souslin spaces
| math.GN math.PR | two classes of topological spaces are introduced on which every probability radon measure possesses a uniformly distributed sequence or a uniformly tight uniformly distributed sequence it is shown that these classes are stable under multiplication by completely regular souslin spaces | [['two', 'classes', 'of', 'topological', 'spaces', 'are', 'introduced', 'on', 'which', 'every', 'probability', 'radon', 'measure', 'possesses', 'a', 'uniformly', 'distributed', 'sequence', 'or', 'a', 'uniformly', 'tight', 'uniformly', 'distributed', 'sequence', 'it', 'is', 'shown', 'that', 'these', 'classes', 'are', 'stable', 'under', 'multiplication', 'by', 'completely', 'regular', 'souslin', 'spaces']] | [-0.1757543018058641, 0.25806225361302493, -0.08019698411226273, 0.07749544928374234, 0.026940552541054784, -0.17440423676744105, -0.004498017148580402, 0.47351925568655134, -0.38122891446109863, -0.15020303598139434, 0.14545334258582443, -0.24871796708866895, -0.1338336547894869, 0.21156455280142836, -0.1568054941482842, 0.07320929102716037, 0.04335589392576367, 0.09764469312503934, -0.04766088979667984, -0.33621455685643015, 0.40941467150696553, -0.10699962000362576, 0.2905999510781839, -0.10961350091529312, 0.10350757978158072, -0.049720692087430504, -0.02127445340156555, 0.058847659081220624, -0.08475716298653424, 0.11710455494467169, 0.23839282346889376, 0.10917104919208213, 0.2967720044776797, -0.2836127494076209, -0.1664397235494107, 0.22489675434771925, 0.06571606699144468, -0.06003554616181646, -0.1308343590964796, -0.3062223765533417, 0.18929926329292357, -0.08960833066958003, -0.060424120267271064, -0.12946324299555273, 0.07871052231639623, 0.1141179638914764, -0.30568764137569815, -0.06174122749362141, 0.17201038299826904, -0.017408887040801346, -0.07865434226114303, -0.07045001096557826, -0.041040688066277656, 0.11538903613691218, -0.039373771456303074, 0.08204806658904999, 0.0983595637822873, 0.08303508376702666, -0.08385389873292297, 0.32610118836164476, -0.006226325314491988, -0.3040123234502971, 0.197241016686894, -0.1358278497005813, -0.16427651254925876, 0.1614271148806438, 0.06612320083659143, 0.1961125438567251, -0.14863740927539765, 0.15769040558952838, -0.12890030788257717, 0.1736942502204329, 0.13759423207957297, 0.06459785789484158, 0.20995089076459408, 0.07691309311776422, 0.2260868447367102, 0.147354174265638, 0.02490483706933446, -0.10233882969187107, -0.2929778012447059, -0.1048098172992468, -0.20570826958864927, 0.0742358892224729, -0.07957643817644566, -0.27216957931159413, 0.3552163703367114, -0.01188875725492835, 0.1795512100448832, 0.1763678942603292, 0.20674790109624155, 0.07255451104138047, 0.007316556831938215, 0.14767546604853124, 0.08963100804830901, 0.15071368031785823, 0.0008463143487460912, -0.021727582562016325, 0.06709574287524447, 0.18588381120935082] |
708.3487 | Threadbare Parallel Port DAQ Card | A very simple Data acquisition card was developed in our under-graduate class
for interfacing with the parallel port of a standard computer. It was developed
with the intention to enable students to do various physics experiments with
the computer sparing them from knowing the details of the electronics required.
The article is a summary of our experience and ends with a request for
suggestions to improve the circuit without losing its simplicity.
| physics.ed-ph | a very simple data acquisition card was developed in our undergraduate class for interfacing with the parallel port of a standard computer it was developed with the intention to enable students to do various physics experiments with the computer sparing them from knowing the details of the electronics required the article is a summary of our experience and ends with a request for suggestions to improve the circuit without losing its simplicity | [['a', 'very', 'simple', 'data', 'acquisition', 'card', 'was', 'developed', 'in', 'our', 'undergraduate', 'class', 'for', 'interfacing', 'with', 'the', 'parallel', 'port', 'of', 'a', 'standard', 'computer', 'it', 'was', 'developed', 'with', 'the', 'intention', 'to', 'enable', 'students', 'to', 'do', 'various', 'physics', 'experiments', 'with', 'the', 'computer', 'sparing', 'them', 'from', 'knowing', 'the', 'details', 'of', 'the', 'electronics', 'required', 'the', 'article', 'is', 'a', 'summary', 'of', 'our', 'experience', 'and', 'ends', 'with', 'a', 'request', 'for', 'suggestions', 'to', 'improve', 'the', 'circuit', 'without', 'losing', 'its', 'simplicity']] | [-0.026645313534471724, 0.054376946581113667, -0.09627064886929777, 0.011856890058778744, -0.1820410511766871, -0.1875115866577188, 0.06751016361199112, 0.37729635027547676, -0.21216254871493825, -0.41259440495115185, 0.10296293229718383, -0.2774067437276244, -0.10955886366880602, 0.243413209554597, -0.11112756698599292, 0.07674965139449341, 0.12650815112930205, 0.0687978484460877, -0.06283354711033301, -0.29805156177543624, 0.22565213526185188, 0.11964448510358731, 0.2825061070066618, 0.039501754547624536, 0.08693987750060235, 0.010162933985055942, -0.048915069395055376, -0.0378913275587062, -0.09420765285742366, 0.16055020098833162, 0.3152181612353565, 0.1681687977268464, 0.3165857285882036, -0.4935823041273074, -0.15652203087746683, 0.029793041368369206, 0.04840475625112756, 0.1264914058588652, -0.10590049147140235, -0.2896940839709714, 0.10830741730104718, -0.20579126394457287, -0.10843333896870415, -0.020156327680322446, -0.028234355384483933, 0.024938939182435307, -0.2330088294450737, -0.07711345455673937, 0.05936591296469689, 0.09725859613778691, 0.0417698038557622, -0.08818768073494236, 0.047266969491223186, 0.1979204717143956, -0.00883529982416399, 0.04386309035665666, 0.14072045354017368, -0.18502305301889363, -0.14515015089354064, 0.3962412914261222, 0.009385903275364803, -0.20193938238339293, 0.2427275074749357, -0.10824467136343527, -0.110925389369691, 0.08118074905360118, 0.1295330571786811, 0.03811037642622574, -0.1516554382396862, 0.06972005479474319, 0.056195719122317515, 0.18901192619361812, 0.020170744704955723, -0.05176876287441701, 0.19618851536264023, 0.20594834113985094, -0.010610518184775073, 0.14043905487697986, -0.04933955761670303, -0.07054235570184472, -0.29335942978246343, -0.2065065077622421, -0.1737890974101093, 0.003215982339396659, 0.0077755098789364435, -0.12707843337314748, 0.4321517278310946, 0.18353822946341503, 0.12350237697763886, 0.06447950060505213, 0.34424198034685105, 0.04842449346971181, 0.11455368713035972, 0.062465645159439497, 0.18602214430251884, 0.07738124560435405, 0.197785237002083, -0.16844537844169988, 0.08772539208358568, -0.031731549747443445] |
708.3488 | Magnetometry Based on Nonlinear Magneto-Optical Rotation with
Amplitude-Modulated Light | We report on an all-optical magnetometric technique based on nonlinear
magneto-optical rotation with amplitude-modulated light. The method enables
sensitive magnetic-field measurements in a broad dynamic range. We demonstrate
the sensitivity of $4.3\times10^{-9}$ G/$\sqrt{\text{Hz}}$ at 10 mG and the
magnetic field tracking in a range of 40 mG. The fundamental limits of the
method sensitivity and factors determining current performance of the
magnetometer are discussed.
| physics.atom-ph physics.optics | we report on an alloptical magnetometric technique based on nonlinear magnetooptical rotation with amplitudemodulated light the method enables sensitive magneticfield measurements in a broad dynamic range we demonstrate the sensitivity of 43times109 gsqrttexthz at 10 mg and the magnetic field tracking in a range of 40 mg the fundamental limits of the method sensitivity and factors determining current performance of the magnetometer are discussed | [['we', 'report', 'on', 'an', 'alloptical', 'magnetometric', 'technique', 'based', 'on', 'nonlinear', 'magnetooptical', 'rotation', 'with', 'amplitudemodulated', 'light', 'the', 'method', 'enables', 'sensitive', 'magneticfield', 'measurements', 'in', 'a', 'broad', 'dynamic', 'range', 'we', 'demonstrate', 'the', 'sensitivity', 'of', '43times109', 'gsqrttexthz', 'at', '10', 'mg', 'and', 'the', 'magnetic', 'field', 'tracking', 'in', 'a', 'range', 'of', '40', 'mg', 'the', 'fundamental', 'limits', 'of', 'the', 'method', 'sensitivity', 'and', 'factors', 'determining', 'current', 'performance', 'of', 'the', 'magnetometer', 'are', 'discussed']] | [-0.10727935751539565, 0.11147295764197723, 0.026450794513127016, -0.037436571869728784, -0.04153827664202019, -0.0768249613146538, 0.06700352446791986, 0.45130260841500375, -0.20897820213389012, -0.37760205792203066, 0.07551810128479114, -0.22531138446121926, -0.10245399153040301, 0.32218457409931767, -0.008388752958947612, 0.062479628174896204, 0.007587192916616914, 0.015260512910542949, -0.07099769561130914, -0.15736330294561002, 0.25827919724848003, 0.04287455518609814, 0.34883087807365004, 0.10514778313377211, 0.13190036858131568, 0.00993037516731889, -0.024293291743003553, 0.032623300674341375, -0.1177626972597453, 0.12466863192798149, 0.1780294101204603, 0.07891132090721399, 0.22182625242989631, -0.37471530412233645, -0.16318066204868018, 0.0371789988355651, 0.10502157180434873, 0.12721468578468287, -0.08210230880461994, -0.29787356978763013, 0.046270008874876846, -0.09058307324566188, -0.1270111041113494, -0.11679800478140673, -0.022680781186453156, 0.05158942849976161, -0.29148961521024186, 0.0503315856500018, 0.02045050952883978, 0.15972145039948724, -0.09534823787473742, -0.11735732464360134, 0.07562900352997766, 0.029765519230896906, -0.032944072518617876, 0.008632534784415075, 0.21541569422509882, -0.11126632037602606, -0.10406766480375682, 0.34993289864712185, -0.1487185500652319, -0.10845878218571024, 0.15323246363925958, -0.1905798825825895, -0.0923112551306164, 0.1517006089730609, 0.23391476000899508, 0.17868673482969885, -0.13086028904804298, 0.04858268017602724, 0.023732070713454196, 0.2243789884772512, 0.010270219656728929, 0.08451788711752142, 0.20276539465187177, 0.2641009450589697, 0.07034919942699132, 0.09160757461006963, -0.24728188317479385, 0.010355816372940618, -0.23921608327016716, -0.13175382054290705, -0.1110166544920855, 0.03598319874295304, -0.12278192371623815, -0.1017402142751962, 0.44002416429500424, 0.21002761101830872, 0.16767727391373727, -0.05517298064284747, 0.3268212127394133, 0.09886263514260551, 0.043059543045538086, 0.0033124920221105697, 0.3402547096352904, 0.20854226004091964, 0.16294805616921476, -0.3054513004420686, 0.021421111429170255, -0.040597440678656345] |
708.3489 | Extrema of low eigenvalues of the Dirichlet-Neumann Laplacian on a disk | We study extrema of the first and the second mixed eigenvalues of the
Laplacian on the disk among some families of Dirichlet-Neumann boundary
conditions. We show that the minimizer of the second eigenvalue among all mixed
boundary conditions lies in a compact 1-parameter family for which an explicit
description is given. Moreover, we prove that among all partitions of the
boundary with bounded number of parts on which Dirichlet and Neumann conditions
are imposed alternately, the first eigenvalue is maximized by the uniformly
distributed partition.
| math.SP | we study extrema of the first and the second mixed eigenvalues of the laplacian on the disk among some families of dirichletneumann boundary conditions we show that the minimizer of the second eigenvalue among all mixed boundary conditions lies in a compact 1parameter family for which an explicit description is given moreover we prove that among all partitions of the boundary with bounded number of parts on which dirichlet and neumann conditions are imposed alternately the first eigenvalue is maximized by the uniformly distributed partition | [['we', 'study', 'extrema', 'of', 'the', 'first', 'and', 'the', 'second', 'mixed', 'eigenvalues', 'of', 'the', 'laplacian', 'on', 'the', 'disk', 'among', 'some', 'families', 'of', 'dirichletneumann', 'boundary', 'conditions', 'we', 'show', 'that', 'the', 'minimizer', 'of', 'the', 'second', 'eigenvalue', 'among', 'all', 'mixed', 'boundary', 'conditions', 'lies', 'in', 'a', 'compact', '1parameter', 'family', 'for', 'which', 'an', 'explicit', 'description', 'is', 'given', 'moreover', 'we', 'prove', 'that', 'among', 'all', 'partitions', 'of', 'the', 'boundary', 'with', 'bounded', 'number', 'of', 'parts', 'on', 'which', 'dirichlet', 'and', 'neumann', 'conditions', 'are', 'imposed', 'alternately', 'the', 'first', 'eigenvalue', 'is', 'maximized', 'by', 'the', 'uniformly', 'distributed', 'partition']] | [-0.18133224174380302, 0.09090432949682616, -0.05539778375669437, -0.0033966532607069785, -0.08460661990513259, -0.07990576903719236, -0.0234903690569541, 0.320006226657835, -0.27967283550978583, -0.23409667788621258, 0.15906349704189993, -0.2761041071539854, -0.13147778217406833, 0.14604571665472843, -0.06713848211528624, 0.0798479545094511, 0.09507497351835756, 0.10418089779422564, -0.06726497410084395, -0.23553919592762695, 0.43871858143110704, -0.08473287196282078, 0.2128683980636518, 0.06828595704453833, 0.06969999658929951, -0.049850921721800286, 0.028827222080572562, 0.01162169246989138, -0.172520656057339, 0.14215118812451907, 0.22580694238490917, 0.06745880256845233, 0.2956940951592782, -0.42466867772095346, -0.15114053746356684, 0.19605182132081073, 0.07621810561703408, 0.0023948111708330757, -0.0011885550804436207, -0.26521414995385223, 0.14397369955173311, -0.06103194577290731, -0.13768610542859225, -0.018020342635538648, -0.008142326429814977, 0.03377267804736381, -0.3354735111872501, 0.08805175625226076, 0.1006813220844111, 0.026886856612434392, -0.16876974164453498, -0.15500001348555087, -0.06516590795534498, 0.1093476498444729, 0.014117004957926624, -0.0750448378323413, 0.018389072219895965, -0.09291354241397451, -0.040253642897176395, 0.3312535127207144, -0.01376916709191659, -0.2482933865969672, 0.14713844321668149, -0.16779391288428622, -0.1635899442138479, 0.05408261080875116, 0.11686620821847635, 0.1859921136761413, -0.14644297238658457, 0.12372469106442568, -0.11295120412182501, 0.11382966511608923, 0.14506578934652842, -0.016155920922756195, 0.14375859422280507, 0.07956690334386247, 0.2001516665222452, 0.21880512758541634, -0.03135361089371145, -0.13670130311785375, -0.4107856356922318, -0.16016831314739058, -0.25480999383691916, 0.01127292813240167, -0.14073693083071917, -0.23060060314395847, 0.42039277719005064, 0.08290367732372354, 0.2244720857754788, 0.09290489394162946, 0.22682074964703883, 0.1505000245236956, 0.011777041403248029, 0.1376737858661834, 0.13475999152185122, 0.14147148943396615, 0.0017594007336918045, -0.24093968338565902, 0.02559974456740105, 0.1461609152479522] |
708.349 | Two-Dimensional Spectroscopy of Photospheric Shear Flows in a Small
delta Spot | In recent high-resolution observations of complex active regions,
long-lasting and well-defined regions of strong flows were identified in major
flares and associated with bright kernels of visible, near-infrared, and X-ray
radiation. These flows, which occurred in the proximity of the magnetic neutral
line, significantly contributed to the generation of magnetic shear. Signatures
of these shear flows are strongly curved penumbral filaments, which are almost
tangential to sunspot umbrae rather than exhibiting the typical radial
filamentary structure. Solar active region NOAA 10756 was a moderately complex,
beta-delta sunspot group, which provided an opportunity to extend previous
studies of such shear flows to quieter settings. We conclude that shear flows
are a common phenomenon in complex active regions and delta spots. However,
they are not necessarily a prerequisite condition for flaring. Indeed, in the
present observations, the photospheric shear flows along the magnetic neutral
line are not related to any change of the local magnetic shear. We present
high-resolution observations of NOAA 10756 obtained with the 65-cm vacuum
reflector at Big Bear Solar Observatory (BBSO). Time series of
speckle-reconstructed white-light images and two-dimensional spectroscopic data
were combined to study the temporal evolution of the three-dimensional vector
flow field in the beta-delta sunspot group. An hour-long data set of consistent
high quality was obtained, which had a cadence of better than 30 seconds and
sub-arcsecond spatial resolution.
| astro-ph | in recent highresolution observations of complex active regions longlasting and welldefined regions of strong flows were identified in major flares and associated with bright kernels of visible nearinfrared and xray radiation these flows which occurred in the proximity of the magnetic neutral line significantly contributed to the generation of magnetic shear signatures of these shear flows are strongly curved penumbral filaments which are almost tangential to sunspot umbrae rather than exhibiting the typical radial filamentary structure solar active region noaa 10756 was a moderately complex betadelta sunspot group which provided an opportunity to extend previous studies of such shear flows to quieter settings we conclude that shear flows are a common phenomenon in complex active regions and delta spots however they are not necessarily a prerequisite condition for flaring indeed in the present observations the photospheric shear flows along the magnetic neutral line are not related to any change of the local magnetic shear we present highresolution observations of noaa 10756 obtained with the 65cm vacuum reflector at big bear solar observatory bbso time series of specklereconstructed whitelight images and twodimensional spectroscopic data were combined to study the temporal evolution of the threedimensional vector flow field in the betadelta sunspot group an hourlong data set of consistent high quality was obtained which had a cadence of better than 30 seconds and subarcsecond spatial resolution | [['in', 'recent', 'highresolution', 'observations', 'of', 'complex', 'active', 'regions', 'longlasting', 'and', 'welldefined', 'regions', 'of', 'strong', 'flows', 'were', 'identified', 'in', 'major', 'flares', 'and', 'associated', 'with', 'bright', 'kernels', 'of', 'visible', 'nearinfrared', 'and', 'xray', 'radiation', 'these', 'flows', 'which', 'occurred', 'in', 'the', 'proximity', 'of', 'the', 'magnetic', 'neutral', 'line', 'significantly', 'contributed', 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708.3491 | Equation of State of Wet Granular Matter | A theory is derived for the nonequilibrium probability currents of the
capillary interaction which determines the pair correlation function near
contact. This yields an analytic expression for the equation of state, P =
P(N/V,T), of wet granular matter for D=2 dimensions, valid in the complete
density range from gas to jamming. Driven wet granular matter exhibits a
van-der-Waals-like unstable branch at granular temperatures T<T_c corresponding
to a first order segregation transition of clusters. For the realistic rupture
length of the liquid bridge, s_crit=0.07 d, the critical point is located at
T_c = 0.274 E_cb. While the critical temperature weakly depends on the rupture
length, the critical density phi_c is shown to scale with s_crit according to
s_crit = 4d (sqrt(phi_J / phi_c) -1). The segregation transition is closely
related to the precipitation of granular droplets reported for the free cooling
of one-dimensional wet granular matter [Phys. Rev. Lett. 97, 078001 (2006)],
and extends the effect to higher dimensional systems. Since the limiting case
of sticky bonds, E_cb >> T, is of relevance for aggregation in general,
simulations have been performed which show very good agreement with the
theoretically predicted coordination K of capillary bonds as a function of the
bond length s_crit. This result implies that particles that stick at the
surface, s_crit=0, form isostatic clusters.
| cond-mat.soft | a theory is derived for the nonequilibrium probability currents of the capillary interaction which determines the pair correlation function near contact this yields an analytic expression for the equation of state p pnvt of wet granular matter for d2 dimensions valid in the complete density range from gas to jamming driven wet granular matter exhibits a vanderwaalslike unstable branch at granular temperatures tt_c corresponding to a first order segregation transition of clusters for the realistic rupture length of the liquid bridge s_crit007 d the critical point is located at t_c 0274 e_cb while the critical temperature weakly depends on the rupture length the critical density phi_c is shown to scale with s_crit according to s_crit 4d sqrtphi_j phi_c 1 the segregation transition is closely related to the precipitation of granular droplets reported for the free cooling of onedimensional wet granular matter phys rev lett 97 078001 2006 and extends the effect to higher dimensional systems since the limiting case of sticky bonds e_cb t is of relevance for aggregation in general simulations have been performed which show very good agreement with the theoretically predicted coordination k of capillary bonds as a function of the bond length s_crit this result implies that particles that stick at the surface s_crit0 form isostatic clusters | [['a', 'theory', 'is', 'derived', 'for', 'the', 'nonequilibrium', 'probability', 'currents', 'of', 'the', 'capillary', 'interaction', 'which', 'determines', 'the', 'pair', 'correlation', 'function', 'near', 'contact', 'this', 'yields', 'an', 'analytic', 'expression', 'for', 'the', 'equation', 'of', 'state', 'p', 'pnvt', 'of', 'wet', 'granular', 'matter', 'for', 'd2', 'dimensions', 'valid', 'in', 'the', 'complete', 'density', 'range', 'from', 'gas', 'to', 'jamming', 'driven', 'wet', 'granular', 'matter', 'exhibits', 'a', 'vanderwaalslike', 'unstable', 'branch', 'at', 'granular', 'temperatures', 'tt_c', 'corresponding', 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708.3492 | The Variability of Polarized Radiation from Sgr A* | Sgr A* is variable at radio and submillimeter wavelengths on hourly time
scales showing time delays between the peaks of flare emission as well as
linearly polarized emission at millimeter and sub-mm wavelengths. To determine
the polarization characteristics of this variable source at radio frequencies,
we present VLA observations of Sgr A* and report the detection of polarized
emission at a level of 0.77\pm0.01% and 0.2\pm0.01% at 43 and 22 GHz,
respectively. The change in the time averaged polarization angle between 22 and
43 GHz corresponds to a RM of -2.5\pm0.6 x10^3 rad m{-2} with no phase wrapping
(or \sim 5x10^4 rad m^2 with 2\pi phase wrap). We also note a rise and fall
time scale of 1.5 -- 2 hours in the total polarized intensity. The light curves
of the degree of linearly polarized emission suggests a a correlation with the
variability of the total intensity at 43 GHz. The available polarization data
at radio and sub-mm wavelengths suggest that the rotation measure decreases
with decreasing frequency. This frequency dependence, and observed changes in
polarization angle during flare events, may be caused by the reduction in
rotation measure associated with the expansion of synchrotron-emitting blobs.
| astro-ph | sgr a is variable at radio and submillimeter wavelengths on hourly time scales showing time delays between the peaks of flare emission as well as linearly polarized emission at millimeter and submm wavelengths to determine the polarization characteristics of this variable source at radio frequencies we present vla observations of sgr a and report the detection of polarized emission at a level of 077pm001 and 02pm001 at 43 and 22 ghz respectively the change in the time averaged polarization angle between 22 and 43 ghz corresponds to a rm of 25pm06 x103 rad m2 with no phase wrapping or sim 5x104 rad m2 with 2pi phase wrap we also note a rise and fall time scale of 15 2 hours in the total polarized intensity the light curves of the degree of linearly polarized emission suggests a a correlation with the variability of the total intensity at 43 ghz the available polarization data at radio and submm wavelengths suggest that the rotation measure decreases with decreasing frequency this frequency dependence and observed changes in polarization angle during flare events may be caused by the reduction in rotation measure associated with the expansion of synchrotronemitting blobs | [['sgr', 'a', 'is', 'variable', 'at', 'radio', 'and', 'submillimeter', 'wavelengths', 'on', 'hourly', 'time', 'scales', 'showing', 'time', 'delays', 'between', 'the', 'peaks', 'of', 'flare', 'emission', 'as', 'well', 'as', 'linearly', 'polarized', 'emission', 'at', 'millimeter', 'and', 'submm', 'wavelengths', 'to', 'determine', 'the', 'polarization', 'characteristics', 'of', 'this', 'variable', 'source', 'at', 'radio', 'frequencies', 'we', 'present', 'vla', 'observations', 'of', 'sgr', 'a', 'and', 'report', 'the', 'detection', 'of', 'polarized', 'emission', 'at', 'a', 'level', 'of', '077pm001', 'and', '02pm001', 'at', '43', 'and', '22', 'ghz', 'respectively', 'the', 'change', 'in', 'the', 'time', 'averaged', 'polarization', 'angle', 'between', '22', 'and', '43', 'ghz', 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708.3493 | Best network chirplet-chain: Near-optimal coherent detection of
unmodeled gravitation wave chirps with a network of detectors | The searches of impulsive gravitational waves (GW) in the data of the
ground-based interferometers focus essentially on two types of waveforms: short
unmodeled bursts and chirps from inspiralling compact binaries. There is room
for other types of searches based on different models. Our objective is to fill
this gap. More specifically, we are interested in GW chirps with an arbitrary
phase/frequency vs. time evolution. These unmodeled GW chirps may be considered
as the generic signature of orbiting/spinning sources. We expect quasi-periodic
nature of the waveform to be preserved independent of the physics which governs
the source motion. Several methods have been introduced to address the
detection of unmodeled chirps using the data of a single detector. Those
include the best chirplet chain (BCC) algorithm introduced by the authors. In
the next years, several detectors will be in operation. The joint coherent
analysis of GW by multiple detectors can improve the sight horizon, the
estimation of the source location and the wave polarization angles. Here, we
extend the BCC search to the multiple detector case. The method amounts to
searching for salient paths in the combined time-frequency representation of
two synthetic streams. The latter are time-series which combine the data from
each detector linearly in such a way that all the GW signatures received are
added constructively. We give a proof of principle for the full sky blind
search in a simplified situation which shows that the joint estimation of the
source sky location and chirp frequency is possible.
| gr-qc | the searches of impulsive gravitational waves gw in the data of the groundbased interferometers focus essentially on two types of waveforms short unmodeled bursts and chirps from inspiralling compact binaries there is room for other types of searches based on different models our objective is to fill this gap more specifically we are interested in gw chirps with an arbitrary phasefrequency vs time evolution these unmodeled gw chirps may be considered as the generic signature of orbitingspinning sources we expect quasiperiodic nature of the waveform to be preserved independent of the physics which governs the source motion several methods have been introduced to address the detection of unmodeled chirps using the data of a single detector those include the best chirplet chain bcc algorithm introduced by the authors in the next years several detectors will be in operation the joint coherent analysis of gw by multiple detectors can improve the sight horizon the estimation of the source location and the wave polarization angles here we extend the bcc search to the multiple detector case the method amounts to searching for salient paths in the combined timefrequency representation of two synthetic streams the latter are timeseries which combine the data from each detector linearly in such a way that all the gw signatures received are added constructively we give a proof of principle for the full sky blind search in a simplified situation which shows that the joint estimation of the source sky location and chirp frequency is possible | [['the', 'searches', 'of', 'impulsive', 'gravitational', 'waves', 'gw', 'in', 'the', 'data', 'of', 'the', 'groundbased', 'interferometers', 'focus', 'essentially', 'on', 'two', 'types', 'of', 'waveforms', 'short', 'unmodeled', 'bursts', 'and', 'chirps', 'from', 'inspiralling', 'compact', 'binaries', 'there', 'is', 'room', 'for', 'other', 'types', 'of', 'searches', 'based', 'on', 'different', 'models', 'our', 'objective', 'is', 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708.3494 | Fidelity Between Partial States as Signature of Quantum Phase
Transitions | We introduce a partial state fidelity approach to quantum phase transitions.
We consider a superconducting lattice with a magnetic impurity inserted at its
centre, and look at the fidelity between partial (either one-site or two-site)
quantum states. In the vicinity of the point of the quantum phase transition,
we observe a sudden drop of the fidelity between two one-site partial states
corresponding to the impurity location and its close vicinity. In the case of
two-site states, the fidelity reveals the transition point as long as one of
the two electron sites is located at the impurity, while the other lies
elsewhere in the lattice. We also determine the Uhlmann mixed state geometric
phase, recently introduced in the study of the structural change of the system
state eigenvectors in the vicinity of the lines of thermal phase transitions,
and find it to be trivial, both for one- and two-site partial states, except
when an electron site is at the impurity. This means that the system partial
state eigenvectors do not contribute significantly to the enhanced state
distinguishability around the point of this quantum phase transition. Finally,
we use the fidelity to analyze the total amount of correlations contained
within a composite system, showing that, even for the smallest two-site states,
it features an abrupt quantitative change in the vicinity of the point of the
quantum phase transition.
| quant-ph cond-mat.str-el | we introduce a partial state fidelity approach to quantum phase transitions we consider a superconducting lattice with a magnetic impurity inserted at its centre and look at the fidelity between partial either onesite or twosite quantum states in the vicinity of the point of the quantum phase transition we observe a sudden drop of the fidelity between two onesite partial states corresponding to the impurity location and its close vicinity in the case of twosite states the fidelity reveals the transition point as long as one of the two electron sites is located at the impurity while the other lies elsewhere in the lattice we also determine the uhlmann mixed state geometric phase recently introduced in the study of the structural change of the system state eigenvectors in the vicinity of the lines of thermal phase transitions and find it to be trivial both for one and twosite partial states except when an electron site is at the impurity this means that the system partial state eigenvectors do not contribute significantly to the enhanced state distinguishability around the point of this quantum phase transition finally we use the fidelity to analyze the total amount of correlations contained within a composite system showing that even for the smallest twosite states it features an abrupt quantitative change in the vicinity of the point of the quantum phase transition | [['we', 'introduce', 'a', 'partial', 'state', 'fidelity', 'approach', 'to', 'quantum', 'phase', 'transitions', 'we', 'consider', 'a', 'superconducting', 'lattice', 'with', 'a', 'magnetic', 'impurity', 'inserted', 'at', 'its', 'centre', 'and', 'look', 'at', 'the', 'fidelity', 'between', 'partial', 'either', 'onesite', 'or', 'twosite', 'quantum', 'states', 'in', 'the', 'vicinity', 'of', 'the', 'point', 'of', 'the', 'quantum', 'phase', 'transition', 'we', 'observe', 'a', 'sudden', 'drop', 'of', 'the', 'fidelity', 'between', 'two', 'onesite', 'partial', 'states', 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708.3495 | Study of the young stellar population of NGC 4214 using the Hubble Space
Telescope | We present an original study of the dwarf starburst galaxy NGC 4214. We use
archival optical and UV images obtained with WFPC2 and STIS on-board the Hubble
Space Telescope. We explain the process followed to obtain high-quality
photometry and astrometry of the stellar and cluster populations of this
galaxy. We describe the procedure used to transform magnitudes and colours into
physical parameters using spectral energy distributions. We analyze several
aspects of the astrophysics of NGC 4214: we briefly describe the stellar
populations in its inner structure with emphasis in the determination of the
ratio of blue-to-red supergiants. We study the stellar extinction and we find
it consistent with previous studies of the nebular extinction. The extinction
associated to the stellar population is found to be rather low (E(B-V) < 0.1
mag). We make a complete research of the initial mass function (IMF) of the
stars with masses between 20 and 100 Mo using a photometric method. We find
that this dwarf galaxy has a steeper IMF than Salpeter. We analyze several
extended structures distributed throughout the central regions of NGC 4214. We
infer their properties, such as age, mass, and extinction. Some of the clusters
that we study are likely to disappear because of "infant mortality". We discuss
the interaction between massive stars and their environment. We argue that star
formation in NGC 4214 could take place in several stages.
| astro-ph | we present an original study of the dwarf starburst galaxy ngc 4214 we use archival optical and uv images obtained with wfpc2 and stis onboard the hubble space telescope we explain the process followed to obtain highquality photometry and astrometry of the stellar and cluster populations of this galaxy we describe the procedure used to transform magnitudes and colours into physical parameters using spectral energy distributions we analyze several aspects of the astrophysics of ngc 4214 we briefly describe the stellar populations in its inner structure with emphasis in the determination of the ratio of bluetored supergiants we study the stellar extinction and we find it consistent with previous studies of the nebular extinction the extinction associated to the stellar population is found to be rather low ebv 01 mag we make a complete research of the initial mass function imf of the stars with masses between 20 and 100 mo using a photometric method we find that this dwarf galaxy has a steeper imf than salpeter we analyze several extended structures distributed throughout the central regions of ngc 4214 we infer their properties such as age mass and extinction some of the clusters that we study are likely to disappear because of infant mortality we discuss the interaction between massive stars and their environment we argue that star formation in ngc 4214 could take place in several stages | [['we', 'present', 'an', 'original', 'study', 'of', 'the', 'dwarf', 'starburst', 'galaxy', 'ngc', '4214', 'we', 'use', 'archival', 'optical', 'and', 'uv', 'images', 'obtained', 'with', 'wfpc2', 'and', 'stis', 'onboard', 'the', 'hubble', 'space', 'telescope', 'we', 'explain', 'the', 'process', 'followed', 'to', 'obtain', 'highquality', 'photometry', 'and', 'astrometry', 'of', 'the', 'stellar', 'and', 'cluster', 'populations', 'of', 'this', 'galaxy', 'we', 'describe', 'the', 'procedure', 'used', 'to', 'transform', 'magnitudes', 'and', 'colours', 'into', 'physical', 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708.3496 | Threshold effect and \pi^\pm \psi(2S) peak | A resonance-like structure in the $\pi^\pm \psi(2S)$ mass spectrum arising in
$B \to K \pi^\pm \psi(2S)$ has recently been reported. It is noted that the
mass of this structure, $4433 \pm 4 \pm 1$ MeV, is not far from the threshold
for production of $D^* \bar{D}_1(2420)$. A proposed mechanism for production of
this state is suggested, and tests are suggested.
| hep-ph | a resonancelike structure in the pipm psi2s mass spectrum arising in b to k pipm psi2s has recently been reported it is noted that the mass of this structure 4433 pm 4 pm 1 mev is not far from the threshold for production of d bard_12420 a proposed mechanism for production of this state is suggested and tests are suggested | [['a', 'resonancelike', 'structure', 'in', 'the', 'pipm', 'psi2s', 'mass', 'spectrum', 'arising', 'in', 'b', 'to', 'k', 'pipm', 'psi2s', 'has', 'recently', 'been', 'reported', 'it', 'is', 'noted', 'that', 'the', 'mass', 'of', 'this', 'structure', '4433', 'pm', '4', 'pm', '1', 'mev', 'is', 'not', 'far', 'from', 'the', 'threshold', 'for', 'production', 'of', 'd', 'bard_12420', 'a', 'proposed', 'mechanism', 'for', 'production', 'of', 'this', 'state', 'is', 'suggested', 'and', 'tests', 'are', 'suggested']] | [-0.10023213404435981, 0.18759923104701912, -0.1189690570710069, 0.06168371094272362, -0.017423875652099723, -0.10279583834679955, 0.02121843915369551, 0.30866488700701017, -0.19679215556342092, -0.3049018114678941, -0.019258000228901284, -0.33813853685002204, -0.02344643267787109, 0.16613538468935354, 0.03884533767477941, 0.11586437805287414, 0.03544007516781784, 0.06959070950367693, 0.022499769282827185, -0.16156992012382312, 0.24950476524309587, 0.05207410577874062, 0.22280750982266045, 0.1282818877075057, 0.004516841806234571, -0.0533741870263623, 0.02470115104382384, -0.06875534608202466, -0.1926110107497306, 0.03365241794578605, 0.21578049583960388, 0.12027803159287294, 0.18185921203233085, -0.2231840575903149, -0.1653715863003064, 0.13956785533514063, 0.16650424383864817, 0.053681668762307046, -0.08136126902585818, -0.29593574564304137, 0.20279278601440837, -0.21184993140652017, -0.08188511387018835, -0.029091115141192735, 0.11614493732893114, -0.11818277643267382, -0.3279804183600344, 0.14089484609884478, 0.0032098606363002023, 0.04801095467281796, -0.05100946091273326, -0.263433357203474, -0.06556964618887878, 0.003178467832000579, 0.10072176736558519, 0.14292453743233266, 0.12372975210832843, -0.057876356253874, -0.17296887221114743, 0.3987255278911631, -0.012513071627127227, -0.11861049680639121, 0.11521030507855497, -0.2135261653180597, -0.16168792499229312, 0.21546068718120204, 0.1565684706635647, 0.10964730847626925, -0.19059232838049342, 0.09230730759070681, -0.06619608970516819, 0.20489209687526702, 0.09429182602345186, 0.027897504647657022, 0.1385240529711216, 0.20375752398523234, -0.04411641803522736, 0.053564304852921324, -0.14145216026927454, -0.02406749460388417, -0.28914265593482275, -0.1213722484722986, -0.10440458903499579, 0.13286366095688487, 0.03850777125823651, -0.05547967847531377, 0.3363852460821301, 0.043961016626997015, 0.3099583749959277, -0.056684069398601176, 0.26792018090264275, 0.11984443456187087, 0.07557049504643054, 0.11094895867883402, 0.35095956511164117, 0.22228329125160384, 0.12994914059921847, -0.21289028129856086, 0.08231408001413032, -0.012950317902585207] |
708.3497 | A Mechanism for Kaluza-Klein Number Violation in UED and Implications
for LHC | If the Higgs does not propagate into an otherwise universal extra dimension,
then tree-level Kaluza-Klein number is not conserved in the Yukawa
interactions. This leads to mixing between zero-mode fermions and their
associated Kaluza-Klein excitations. The effect can be quite large for the top
quark, since its mass (171.4 plus or minus 2.1 GeV) is approximately one-half
the current Tevatron mass bound (about 350-400 GeV) for Kaluza-Klein
excitations of quarks with one universal extra dimension. In contrast to the
SM, the bi-unitary transformation that diagonalizes the mass matrix does not
diagonalize the effective 4D Yukawa coupling matrix because of the presence of
the 5D kinetic terms. This leads to violation of tree-level Kaluza-Klein number
conservation in the gauge sector due to a unique feature of the 5D theory. This
allows Kaluza-Klein excitations of the fermions to be produced singly, and
opens up new decay channels in the gauge sector. We compute the cross section
for the production of the lowest-lying Kaluza-Klein excitations of the top and
bottom quarks in the non-universal Higgs model at the Large Hadron Collider,
and consider their subsequent decays. The effect is quite large: For example,
pair production of Kaluza-Klein excitations of the bottom quark will lead to a
pair of top quarks plus a pair of charged weak gauge bosons. Since the
production is via the strong interaction, such final states stand out well
against the Standard Model background, and are observable at the LHC for a wide
range of compactification scales. Finally, we discuss the effects that such a
model has on the T- parameter, and propose a model with maximal mixing where
the compactification scale may be as large as a universal extra dimension.
| hep-ph | if the higgs does not propagate into an otherwise universal extra dimension then treelevel kaluzaklein number is not conserved in the yukawa interactions this leads to mixing between zeromode fermions and their associated kaluzaklein excitations the effect can be quite large for the top quark since its mass 1714 plus or minus 21 gev is approximately onehalf the current tevatron mass bound about 350400 gev for kaluzaklein excitations of quarks with one universal extra dimension in contrast to the sm the biunitary transformation that diagonalizes the mass matrix does not diagonalize the effective 4d yukawa coupling matrix because of the presence of the 5d kinetic terms this leads to violation of treelevel kaluzaklein number conservation in the gauge sector due to a unique feature of the 5d theory this allows kaluzaklein excitations of the fermions to be produced singly and opens up new decay channels in the gauge sector we compute the cross section for the production of the lowestlying kaluzaklein excitations of the top and bottom quarks in the nonuniversal higgs model at the large hadron collider and consider their subsequent decays the effect is quite large for example pair production of kaluzaklein excitations of the bottom quark will lead to a pair of top quarks plus a pair of charged weak gauge bosons since the production is via the strong interaction such final states stand out well against the standard model background and are observable at the lhc for a wide range of compactification scales finally we discuss the effects that such a model has on the t parameter and propose a model with maximal mixing where the compactification scale may be as large as a universal extra dimension | [['if', 'the', 'higgs', 'does', 'not', 'propagate', 'into', 'an', 'otherwise', 'universal', 'extra', 'dimension', 'then', 'treelevel', 'kaluzaklein', 'number', 'is', 'not', 'conserved', 'in', 'the', 'yukawa', 'interactions', 'this', 'leads', 'to', 'mixing', 'between', 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708.3498 | Voltage Controlled Resistance | The paper discusses an application of the field effected transistor (FET) as
a voltage controlled resistance which can be done in under-graduate labs either
as a routine experiment or as a project.
| physics.ed-ph | the paper discusses an application of the field effected transistor fet as a voltage controlled resistance which can be done in undergraduate labs either as a routine experiment or as a project | [['the', 'paper', 'discusses', 'an', 'application', 'of', 'the', 'field', 'effected', 'transistor', 'fet', 'as', 'a', 'voltage', 'controlled', 'resistance', 'which', 'can', 'be', 'done', 'in', 'undergraduate', 'labs', 'either', 'as', 'a', 'routine', 'experiment', 'or', 'as', 'a', 'project']] | [-0.11536144139245152, 0.10634808677832552, -0.08311184163903818, -0.025640656018367736, -0.0456694855238311, -0.21165525093965698, 0.0722106074426847, 0.37672641000244766, -0.2379595210077241, -0.3542202108656056, 0.11427491415452096, -0.19280093838460743, -0.1658831159093097, 0.31449058697762666, -0.08452221017796546, -0.009311720496043563, 0.009199888096190989, -0.0035402181529207155, -0.03405756945721805, -0.20929721766151488, 0.2198956029023975, 0.15802688436815515, 0.2570904878375586, 0.030807386805463466, 0.0939875740732532, -0.02124523727252381, 0.043763974274042994, 0.12268039328046143, -0.010754474555142224, 0.00776546451379545, 0.3783715554745868, 0.06056741188513115, 0.3298812875873409, -0.4773186494130641, -0.14354785619070753, 0.007809051516233012, 0.1661164358665701, 0.1047868165296677, -0.08309570222627372, -0.2983421765966341, 0.014454564428888261, -0.24601091566728428, -0.12276335604838096, 0.012466798507375643, -0.07117701811876032, -0.023607566603459418, -0.25867329942411743, -0.029503330661100335, 0.013827436341671273, 0.18096741072804434, 0.0029891083177062683, -0.09539850300643593, 0.021243227529339492, 0.11454571288140869, -0.010999731748597696, 0.13838521277648397, 0.3004238315188559, -0.15633192916902772, -0.2061363124230411, 0.3227473001461476, -0.07074694125913084, -0.13929533213377, 0.10160987186827697, -0.07540364668238908, -0.019226244068704545, -5.746888928115368e-05, 0.21387156390483142, 0.11553000455023721, -0.22223187913186848, 0.07710808410774916, 0.03105362638598308, 0.17907410894986242, 0.10050689146737568, -0.051324877713341266, 0.25888293947355123, 0.21443537273444235, 0.049717699468601495, 0.14458931897752336, -0.03507495601661503, 0.06887699675280601, -0.3322403387282975, -0.2510386306385044, -0.1916057923808694, 0.12804602034157142, 0.08075246294902172, -0.20548921429144684, 0.4035173300653696, 0.13915035732497927, 0.1356400084332563, -0.0645311889857112, 0.3560961009643506, 0.15073580702664913, 0.12063400796614587, -0.05392827861942351, 0.15890113753266633, 0.10848961818737735, 0.15332447201944888, -0.18652237061178312, 0.1067253975343192, -0.05466989989508875] |
708.3499 | Comparison of Tree-Child Phylogenetic Networks | Phylogenetic networks are a generalization of phylogenetic trees that allow
for the representation of non-treelike evolutionary events, like recombination,
hybridization, or lateral gene transfer. In this paper, we present and study a
new class of phylogenetic networks, called tree-child phylogenetic networks,
where every non-extant species has some descendant through mutation. We provide
an injective representation of these networks as multisets of vectors of
natural numbers, their path multiplicity vectors, and we use this
representation to define a distance on this class and to give an alignment
method for pairs of these networks. To the best of our knowledge, they are
respectively the first true distance and the first alignment method defined on
a meaningful class of phylogenetic networks strictly extending the class of
phylogenetic trees. Simple, polynomial algorithms for reconstructing a
tree-child phylogenetic network from its path multiplicity vectors, for
computing the distance between two tree-child phylogenetic networks, and for
aligning a pair of tree-child phylogenetic networks, are provided, and they
have been implemented as a Perl package and a Java applet, and they are
available at http://bioinfo.uib.es/~recerca/phylonetworks/mudistance
| q-bio.PE cs.CE cs.DM | phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of nontreelike evolutionary events like recombination hybridization or lateral gene transfer in this paper we present and study a new class of phylogenetic networks called treechild phylogenetic networks where every nonextant species has some descendant through mutation we provide an injective representation of these networks as multisets of vectors of natural numbers their path multiplicity vectors and we use this representation to define a distance on this class and to give an alignment method for pairs of these networks to the best of our knowledge they are respectively the first true distance and the first alignment method defined on a meaningful class of phylogenetic networks strictly extending the class of phylogenetic trees simple polynomial algorithms for reconstructing a treechild phylogenetic network from its path multiplicity vectors for computing the distance between two treechild phylogenetic networks and for aligning a pair of treechild phylogenetic networks are provided and they have been implemented as a perl package and a java applet and they are available at httpbioinfouibesrecercaphylonetworksmudistance | [['phylogenetic', 'networks', 'are', 'a', 'generalization', 'of', 'phylogenetic', 'trees', 'that', 'allow', 'for', 'the', 'representation', 'of', 'nontreelike', 'evolutionary', 'events', 'like', 'recombination', 'hybridization', 'or', 'lateral', 'gene', 'transfer', 'in', 'this', 'paper', 'we', 'present', 'and', 'study', 'a', 'new', 'class', 'of', 'phylogenetic', 'networks', 'called', 'treechild', 'phylogenetic', 'networks', 'where', 'every', 'nonextant', 'species', 'has', 'some', 'descendant', 'through', 'mutation', 'we', 'provide', 'an', 'injective', 'representation', 'of', 'these', 'networks', 'as', 'multisets', 'of', 'vectors', 'of', 'natural', 'numbers', 'their', 'path', 'multiplicity', 'vectors', 'and', 'we', 'use', 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708.35 | Monte Carlo simulation of the nuclear medium: Fermi gases, nuclei and
the role of Pauli potentials | The role of Pauli potentials in the semiclassical simulation of Fermi gases
at low temperatures is investigated. An alternative Pauli potential to the
usual bivariate Gaussian form by Dorso et al. is proposed. This new Pauli
potential allows for a simultaneous good reproduction of not only the kinetic
energy per particle but also the momentum distribution and the two-body
correlation function. The reproduction of the binding energies in finite nuclei
in the low and medium mass range is also analyzed. What is found is that given
a reasonable short-range atractive nuclear interaction one can include
correlation effects in a suitable chosen density dependent Pauli potential.
| nucl-th | the role of pauli potentials in the semiclassical simulation of fermi gases at low temperatures is investigated an alternative pauli potential to the usual bivariate gaussian form by dorso et al is proposed this new pauli potential allows for a simultaneous good reproduction of not only the kinetic energy per particle but also the momentum distribution and the twobody correlation function the reproduction of the binding energies in finite nuclei in the low and medium mass range is also analyzed what is found is that given a reasonable shortrange atractive nuclear interaction one can include correlation effects in a suitable chosen density dependent pauli potential | [['the', 'role', 'of', 'pauli', 'potentials', 'in', 'the', 'semiclassical', 'simulation', 'of', 'fermi', 'gases', 'at', 'low', 'temperatures', 'is', 'investigated', 'an', 'alternative', 'pauli', 'potential', 'to', 'the', 'usual', 'bivariate', 'gaussian', 'form', 'by', 'dorso', 'et', 'al', 'is', 'proposed', 'this', 'new', 'pauli', 'potential', 'allows', 'for', 'a', 'simultaneous', 'good', 'reproduction', 'of', 'not', 'only', 'the', 'kinetic', 'energy', 'per', 'particle', 'but', 'also', 'the', 'momentum', 'distribution', 'and', 'the', 'twobody', 'correlation', 'function', 'the', 'reproduction', 'of', 'the', 'binding', 'energies', 'in', 'finite', 'nuclei', 'in', 'the', 'low', 'and', 'medium', 'mass', 'range', 'is', 'also', 'analyzed', 'what', 'is', 'found', 'is', 'that', 'given', 'a', 'reasonable', 'shortrange', 'atractive', 'nuclear', 'interaction', 'one', 'can', 'include', 'correlation', 'effects', 'in', 'a', 'suitable', 'chosen', 'density', 'dependent', 'pauli', 'potential']] | [-0.11133638803973722, 0.19425585641408705, -0.07816686275984766, 0.14351756622544626, -0.023548495499145925, -0.12176971034897328, 0.04727969710145471, 0.33356837846917436, -0.21741188400271302, -0.28064656713344516, -0.04420099397036202, -0.2799459685984314, -0.07307930715784466, 0.14950402140350633, 0.019533033148177618, 0.04854341302501056, 0.0049642586687272325, 0.04993216819254211, -0.10100502879991766, -0.2386895121319346, 0.31500062409074053, 0.14615042073634063, 0.2677757832158393, 0.14483184431616253, 0.09005457635299818, 0.06492567420665862, 0.02930172122743668, 0.005663618015903003, -0.09836049300418699, 0.029222330788277018, 0.20639137700437432, 0.029421875416075143, 0.263520154975427, -0.391015528637952, -0.24884145567645727, 0.0928220646727143, 0.13998579879933334, 0.13288044741657534, -0.09719046372558596, -0.2412964656804372, -0.013951214793300961, -0.22833155955468276, -0.15923754185058395, -0.09055385645705014, 0.06391102944961885, 0.0749135222557245, -0.2990382944179464, 0.16089262499969037, 0.014088727253233761, 0.02183476029850036, -0.07159319571366317, -0.1650701985938601, -0.013358504696776278, 0.07147939549250419, -0.005100720600469164, 0.03291347735556909, 0.15208244791652248, -0.1207986169661965, -0.021980617167111666, 0.39508097824975125, -0.044067535020447184, -0.2092474158401194, 0.18599502590385456, -0.17370938131748473, -0.0988785248313063, 0.16667080954060826, 0.11717590669766792, 0.057286765385708475, -0.22503449574781997, 0.10254378006872676, -0.02542282089939142, 0.14215776215316456, 0.03794950059642201, 0.04561609062773076, 0.16888453397285014, 0.13253808099306325, 0.031106904488129233, 0.06995367113211491, -0.11802094826221611, -0.12352928601813422, -0.32657409463873477, -0.11981687810977251, -0.2502579369867058, 0.03313049419742932, -0.09306141167615757, -0.12299316970956992, 0.3714503417293387, 0.12213577532652513, 0.19273019502915947, -0.006113007447673279, 0.262052580388715, 0.1600507220379936, 0.07744271145880367, 0.03901255017743238, 0.2659300850179878, 0.17040407120078369, 0.06595868270762843, -0.27131988952677805, 0.04924443795671234, 0.018283771538600616] |
708.3501 | The Meaning Of The Fine Structure Constant | A possible explanation is offered for the longstanding mystery surrounding
the meaning of the fine structure constant. The reasoning is based on a
discrete self-similar cosmological paradigm that has shown promise in
explaining the general scaling properties of nature's global hierarchy. The
discrete scale invariance of the paradigm implies that "strong gravity" governs
gravitational interactions within atomic scale systems. Given the revised
gravitational coupling constant and Planck mass, one can demonstrate that the
fine structure constant is the ratio of the strengths of the unit
electromagnetic interaction and the unit gravitational interaction within
atomic scale systems. [Abridged]
| physics.gen-ph | a possible explanation is offered for the longstanding mystery surrounding the meaning of the fine structure constant the reasoning is based on a discrete selfsimilar cosmological paradigm that has shown promise in explaining the general scaling properties of natures global hierarchy the discrete scale invariance of the paradigm implies that strong gravity governs gravitational interactions within atomic scale systems given the revised gravitational coupling constant and planck mass one can demonstrate that the fine structure constant is the ratio of the strengths of the unit electromagnetic interaction and the unit gravitational interaction within atomic scale systems abridged | [['a', 'possible', 'explanation', 'is', 'offered', 'for', 'the', 'longstanding', 'mystery', 'surrounding', 'the', 'meaning', 'of', 'the', 'fine', 'structure', 'constant', 'the', 'reasoning', 'is', 'based', 'on', 'a', 'discrete', 'selfsimilar', 'cosmological', 'paradigm', 'that', 'has', 'shown', 'promise', 'in', 'explaining', 'the', 'general', 'scaling', 'properties', 'of', 'natures', 'global', 'hierarchy', 'the', 'discrete', 'scale', 'invariance', 'of', 'the', 'paradigm', 'implies', 'that', 'strong', 'gravity', 'governs', 'gravitational', 'interactions', 'within', 'atomic', 'scale', 'systems', 'given', 'the', 'revised', 'gravitational', 'coupling', 'constant', 'and', 'planck', 'mass', 'one', 'can', 'demonstrate', 'that', 'the', 'fine', 'structure', 'constant', 'is', 'the', 'ratio', 'of', 'the', 'strengths', 'of', 'the', 'unit', 'electromagnetic', 'interaction', 'and', 'the', 'unit', 'gravitational', 'interaction', 'within', 'atomic', 'scale', 'systems', 'abridged']] | [-0.18755607728332704, 0.1382784148409348, -0.057130263574042155, 0.1179429917949127, -0.11320200888920076, -0.1005373980019472, 0.000575709771172902, 0.32450036869681986, -0.31275888036974925, -0.3271919011916082, 0.034638909184969195, -0.191633183057852, -0.12265689212819274, 0.1464761558190449, 0.05647804368690578, 0.05457996687438992, -0.010715815853135488, 0.02684032078832388, -0.05781320538479816, -0.1666082413123018, 0.355820851206069, 0.140932214744005, 0.26496122647844944, 0.10402704738848603, 0.1373318509227529, -0.0475795365483023, -0.029236861543019407, 0.02413944172380089, -0.11168075636016941, 0.10275336023727336, 0.11521803025041044, 0.11578416435729674, 0.2801562298674943, -0.41144170726591855, -0.2500336694617554, 0.06865941308746018, 0.1346393139725647, 0.10445861914915215, -0.07339166644024518, -0.269198630542792, 0.026192351330801385, -0.12528524188728063, -0.16263056968905262, -0.03192098465863347, 0.07258655600364983, -0.008328122869325974, -0.2072984319499492, 0.10424278820528812, 0.045029492511116355, 0.002587480705769099, -0.1323251350297948, -0.037762920351785405, 0.021378923149913857, 0.1052341545240704, 0.04947622786948131, 0.044591355944033136, 0.14673332662619265, -0.14039351673047876, -0.09507080166091778, 0.48536622074922336, -0.10696033785868551, -0.1614797519443115, 0.1830563384909951, -0.17300521859841556, -0.17461208930507915, 0.09447843548793768, 0.10729792524013937, 0.038900986096591296, -0.13288984232769377, 0.18710146840426534, -0.05397816004769243, 0.24557277981729544, 0.06296192630423358, 0.07200730016716689, 0.30381033308419986, 0.19840953814960324, 0.041388020538676955, 0.035616702918616155, -0.060345008124995825, -0.13266891643426562, -0.2916713642081265, -0.10554192213283986, -0.16621143941061822, 0.06568667864830223, -0.14988665897762235, -0.14791797307534768, 0.34725356203283075, 0.15057471363334773, 0.18234523569147304, 0.05435798171254778, 0.25541226398775874, 0.09027879051840144, 0.12353045421114825, 0.030938101293922392, 0.3357733630181588, 0.1466677491889172, 0.09197499052160564, -0.25633177702247945, 0.06869538952644492, 0.07537857917876742] |
708.3502 | Child mortality in Penna ageing model | Assuming the deleterious mutations in the Penna ageing model to affect mainly
the young ages, we get an enhanced mortality at very young age, followed by a
minimum of the mortality, and then the usual exponential increase of mortality
with age.
| q-bio.PE | assuming the deleterious mutations in the penna ageing model to affect mainly the young ages we get an enhanced mortality at very young age followed by a minimum of the mortality and then the usual exponential increase of mortality with age | [['assuming', 'the', 'deleterious', 'mutations', 'in', 'the', 'penna', 'ageing', 'model', 'to', 'affect', 'mainly', 'the', 'young', 'ages', 'we', 'get', 'an', 'enhanced', 'mortality', 'at', 'very', 'young', 'age', 'followed', 'by', 'a', 'minimum', 'of', 'the', 'mortality', 'and', 'then', 'the', 'usual', 'exponential', 'increase', 'of', 'mortality', 'with', 'age']] | [0.01119458271054233, 0.2325713692787359, -0.09125225824054058, 0.15990840995729697, -0.035273865864771166, -0.12111963553172422, 0.161291268756386, 0.3595979830829381, -0.2607123053791683, -0.2932211364414997, 0.10993834829991456, -0.22354578771969166, -0.09546484975371419, 0.1505593110000851, -0.21435191371001122, -0.11376433368635977, 0.10292530173390377, 0.03836334160551792, 0.02879654020979637, -0.3495007871945457, 0.2658813155778661, 0.1272893276565322, 0.1709291601508129, -0.004744956542442485, 0.08333500549651501, -0.07205887503422252, -0.08330031043690879, -0.024744049941257732, -0.15760273983838355, 0.08238206356309535, 0.2194300882700013, 0.15585755125233314, 0.32105169318071225, -0.37841328596923407, -0.20485412172132694, 0.14084431691458676, 0.1796546731053329, 0.0831697201072352, -0.0695080617584697, -0.2633765537473487, 0.0645834296805466, -0.2648075630309106, -0.17299334792329407, 0.14055283417607226, 0.03413513114267006, 0.03154886399804637, -0.2807572563746717, 0.21509257493904088, -0.014117099163008899, 0.20327654375308535, -0.1182857074933808, -0.1568764216698161, -0.053572017142958034, 0.15674980395337249, 0.14876969662642606, 0.035483464098921634, 0.17080596299478557, -0.19324654293042132, -0.050988891338020925, 0.27448815607079646, -0.08213110406678624, -0.07995769940316677, 0.2298217014205165, -0.19030412155907692, -0.08222536797203668, 0.11188183470470149, 0.16524451253254238, 0.03723608725136373, -0.20161880912804386, -0.012198115700412905, 0.09856568208736617, 0.16189698644391284, 0.07831047561655684, -0.061902803437011995, 0.19067904739299926, 0.17360732373895077, 0.002625392284244299, 0.08870900420063152, -0.12013431681638084, -0.0983145534992218, -0.16685957929528342, -0.12782458195508253, -0.04510601034115364, 0.0928733742841315, -0.18427793730423705, -0.2002367709150038, 0.3503638759437131, 0.1102105674473001, 0.1750760544545767, 0.1356671127467984, 0.1843718179478878, 0.10846301811043083, 0.14198330435447576, 0.0428910762866286, 0.1662722560009215, 0.11081587355697482, 0.05405076741945089, -0.348915870676226, 0.2529493755229363, 0.00044433159679855877] |
708.3503 | On the theorem of M.Golomb | Let $X_{1},...,X_{n}$ be compact spaces and $X=X_{1}\times ... \times X_{n}.$
Consider the approximation of a function $f\in C(X)$ by sums $g_{1}(x_{1})+...
g_{n}(x_{n}),$ where $g_{i}\in C(X_{i}),$ $i=1,...,n.$ In [8], M.Golomb
obtained a formula for the error of this approximation in terms of measures
constructed on special points of $X$, called "projection cycles". However, his
proof had a gap, which was pointed out by Marshall and O'Farrell [15]. But the
question if the formula was correct, remained open. The purpose of the paper is
to prove that Golomb's formula holds in a stronger form.
| math.FA | let x_1x_n be compact spaces and xx_1times times x_n consider the approximation of a function fin cx by sums g_1x_1 g_nx_n where g_iin cx_i i1n in 8 mgolomb obtained a formula for the error of this approximation in terms of measures constructed on special points of x called projection cycles however his proof had a gap which was pointed out by marshall and ofarrell 15 but the question if the formula was correct remained open the purpose of the paper is to prove that golombs formula holds in a stronger form | [['let', 'x_1x_n', 'be', 'compact', 'spaces', 'and', 'xx_1times', 'times', 'x_n', 'consider', 'the', 'approximation', 'of', 'a', 'function', 'fin', 'cx', 'by', 'sums', 'g_1x_1', 'g_nx_n', 'where', 'g_iin', 'cx_i', 'i1n', 'in', '8', 'mgolomb', 'obtained', 'a', 'formula', 'for', 'the', 'error', 'of', 'this', 'approximation', 'in', 'terms', 'of', 'measures', 'constructed', 'on', 'special', 'points', 'of', 'x', 'called', 'projection', 'cycles', 'however', 'his', 'proof', 'had', 'a', 'gap', 'which', 'was', 'pointed', 'out', 'by', 'marshall', 'and', 'ofarrell', '15', 'but', 'the', 'question', 'if', 'the', 'formula', 'was', 'correct', 'remained', 'open', 'the', 'purpose', 'of', 'the', 'paper', 'is', 'to', 'prove', 'that', 'golombs', 'formula', 'holds', 'in', 'a', 'stronger', 'form']] | [-0.15899594524720062, 0.08032431699878846, -0.09681478306237194, 0.07179540017128197, -0.00872390120704141, -0.1549258624513944, 0.0685672589034463, 0.303194006656607, -0.23767291493713855, -0.2148799399431381, 0.11850185205047536, -0.24964029169900137, -0.1219181593041867, 0.20052866020964252, -0.12416500240150426, -0.012118725892570284, 0.04737453963348849, 0.05870974769220791, -0.08083108452459177, -0.2865261185733188, 0.29806941888398597, -0.021748983828971783, 0.201021757018235, 0.048769021505076025, 0.13951340148018465, 0.039904428439007864, -0.02047792691220012, -0.015154279737422864, -0.16540223702363113, 0.0837410266957401, 0.25835921162118514, 0.11011882409091212, 0.29440365069442326, -0.3512070245937341, -0.13651900646380252, 0.16770128004459872, 0.14431758290674124, -0.029269016954478703, 0.017954572591568446, -0.2543037721887231, 0.13188916066816697, -0.13875703232932007, -0.15160592509588847, -0.01756703922421568, 0.12533772038813268, 0.02218152972119343, -0.2949123340141442, 0.018914826328141822, 0.13642412854565514, 0.06493889841820216, -0.04374189087862356, -0.1617880128737953, 0.023267098350657357, 0.05755790189012057, 0.020890538043911673, 0.13956822131036056, 0.03127456448144383, -0.03358604518127524, -0.07688806678375436, 0.34140214988340933, -0.0624118733077517, -0.20388560165754624, 0.035822629920827846, -0.1742524682932223, -0.14506459761954224, 0.09630796083171542, 0.06697030345288416, 0.1540838277898729, -0.12753839667679534, 0.190188058205725, -0.13195031906685067, 0.11845303602232081, 0.1396931462507281, -0.013659176618481676, 0.11228312062513497, 0.06008543700704144, 0.06381968615266184, 0.14016129444223932, -0.013525069232047018, -0.02024579894819504, -0.29826023560017345, -0.17117346722839608, -0.2057198041985329, 0.15955073532855346, -0.06835509141771277, -0.16337285217208167, 0.31510185506970934, 0.059712451432521144, 0.17510545495089092, 0.09037684975838703, 0.21065475011451376, 0.1368645551122932, 0.0150108284679138, 0.09891834224884709, 0.1437365085300472, 0.18215015950457503, 0.032140660249731605, -0.09512455936896408, 0.08461577055147952, 0.17513932718041664] |
708.3504 | Anisotropic conductivity of disordered 2DEGs due to spin-orbit
interactions | We show that the conductivity tensor of a disordered two-dimensional electron
gas becomes anisotropic in the presence of both Rashba and Dresselhaus
spin-orbit interactions (SOI). This anisotropy is a mesoscopic effect and
vanishes with vanishing charge dephasing time. Using a diagrammatic approach
including zero, one, and two-loop diagrams, we show that a consistent
calculation needs to go beyond a Boltzmann equation approach. In the absence of
charge dephasing and for zero frequency, a finite anisotropy \sigma_{xy}
e^2/lhpf arises even for infinitesimal SOI.
| cond-mat.mes-hall | we show that the conductivity tensor of a disordered twodimensional electron gas becomes anisotropic in the presence of both rashba and dresselhaus spinorbit interactions soi this anisotropy is a mesoscopic effect and vanishes with vanishing charge dephasing time using a diagrammatic approach including zero one and twoloop diagrams we show that a consistent calculation needs to go beyond a boltzmann equation approach in the absence of charge dephasing and for zero frequency a finite anisotropy sigma_xy e2lhpf arises even for infinitesimal soi | [['we', 'show', 'that', 'the', 'conductivity', 'tensor', 'of', 'a', 'disordered', 'twodimensional', 'electron', 'gas', 'becomes', 'anisotropic', 'in', 'the', 'presence', 'of', 'both', 'rashba', 'and', 'dresselhaus', 'spinorbit', 'interactions', 'soi', 'this', 'anisotropy', 'is', 'a', 'mesoscopic', 'effect', 'and', 'vanishes', 'with', 'vanishing', 'charge', 'dephasing', 'time', 'using', 'a', 'diagrammatic', 'approach', 'including', 'zero', 'one', 'and', 'twoloop', 'diagrams', 'we', 'show', 'that', 'a', 'consistent', 'calculation', 'needs', 'to', 'go', 'beyond', 'a', 'boltzmann', 'equation', 'approach', 'in', 'the', 'absence', 'of', 'charge', 'dephasing', 'and', 'for', 'zero', 'frequency', 'a', 'finite', 'anisotropy', 'sigma_xy', 'e2lhpf', 'arises', 'even', 'for', 'infinitesimal', 'soi']] | [-0.228321320671203, 0.20824819129466274, -0.042644205472265356, 0.05516542081525664, -0.05842583780579361, -0.18334022204587122, 0.00752151361954065, 0.3467392813828256, -0.26551989652216434, -0.18543554483740418, -0.02960054417439725, -0.31108740888489983, -0.12669580722986548, 0.16880400201742662, 0.06578461300397728, -0.017179647828509777, 0.003572492158891242, -0.052761797321799364, -0.13231048960365172, -0.20061242017164874, 0.3010164837318438, -0.012171196670811853, 0.28772198815289657, 0.1599667763084541, 0.10190033051472755, 0.06654043998684228, 0.09305103529060696, 0.056435314294548684, -0.10190016587849068, 0.006060551593287123, 0.2242412290242673, -0.1722431050406562, 0.22416135099613005, -0.4369359131626509, -0.19774781226146002, 0.028252753498101676, 0.15025485146871229, 0.23938249152751617, -0.040300776055197655, -0.24751531423276496, 0.03527722829653893, -0.24513468662863253, -0.16828561408652198, -0.09820181999447537, 0.0174073560025405, -0.06869367058791312, -0.29506989625960955, 0.164671656721628, 0.10733822580817858, 0.06715750057296252, -0.09785031312271769, -0.08728905598759468, -0.04803678060789811, 0.06427844854094732, 0.06386573073658287, 0.016558029131250984, 0.17392073677461825, -0.14237977420324804, -0.1015226536561206, 0.3791355161157287, -0.15710624507455914, -0.21662043981300091, 0.1282179559937414, -0.20659723361942595, -0.047496779833310916, 0.1440910654261789, 0.09231271509391566, 0.05882351887721373, -0.12279997189259041, 0.18436596630842506, 0.024976541943572187, 0.13699730612153624, 0.015399987487421359, 0.05761665157559845, 0.21334579791643737, 0.1665111260925546, 0.05468578530866423, 0.1303672423977175, -0.12852850084963405, -0.0706683190792431, -0.27931424514333036, -0.15311024255222744, -0.25609225902798366, 0.13472898260770758, -0.11114265682264864, -0.23148564644801764, 0.3785395593508894, 0.2020551574152009, 0.15220782644996408, 0.0426800753461358, 0.3196124980847041, 0.1515455062897807, 0.08715437742433062, 0.03531064346064756, 0.23248600143505213, 0.19410890067157185, 0.09915945440944698, -0.3433408189656926, 0.017776206949219844, 0.034519625586216095] |
708.3505 | Gaze as a Supplementary Modality for Interacting with Ambient
Intelligence Environments | We present our current research on the implementation of gaze as an efficient
and usable pointing modality supplementary to speech, for interacting with
augmented objects in our daily environment or large displays, especially
immersive virtual reality environments, such as reality centres and caves. We
are also addressing issues relating to the use of gaze as the main interaction
input modality. We have designed and developed two operational user interfaces:
one for providing motor-disabled users with easy gaze-based access to map
applications and graphical software; the other for iteratively testing and
improving the usability of gaze-contingent displays.
| cs.HC | we present our current research on the implementation of gaze as an efficient and usable pointing modality supplementary to speech for interacting with augmented objects in our daily environment or large displays especially immersive virtual reality environments such as reality centres and caves we are also addressing issues relating to the use of gaze as the main interaction input modality we have designed and developed two operational user interfaces one for providing motordisabled users with easy gazebased access to map applications and graphical software the other for iteratively testing and improving the usability of gazecontingent displays | [['we', 'present', 'our', 'current', 'research', 'on', 'the', 'implementation', 'of', 'gaze', 'as', 'an', 'efficient', 'and', 'usable', 'pointing', 'modality', 'supplementary', 'to', 'speech', 'for', 'interacting', 'with', 'augmented', 'objects', 'in', 'our', 'daily', 'environment', 'or', 'large', 'displays', 'especially', 'immersive', 'virtual', 'reality', 'environments', 'such', 'as', 'reality', 'centres', 'and', 'caves', 'we', 'are', 'also', 'addressing', 'issues', 'relating', 'to', 'the', 'use', 'of', 'gaze', 'as', 'the', 'main', 'interaction', 'input', 'modality', 'we', 'have', 'designed', 'and', 'developed', 'two', 'operational', 'user', 'interfaces', 'one', 'for', 'providing', 'motordisabled', 'users', 'with', 'easy', 'gazebased', 'access', 'to', 'map', 'applications', 'and', 'graphical', 'software', 'the', 'other', 'for', 'iteratively', 'testing', 'and', 'improving', 'the', 'usability', 'of', 'gazecontingent', 'displays']] | [-0.09117562274517928, 0.027438005897064167, -0.036232404626331274, 0.054094125079535975, -0.14440053348934792, -0.22755217435274352, 0.014507719079661679, 0.4746998467066504, -0.21382345297829586, -0.3533865295956159, 0.09832243365359473, -0.26921436430866574, -0.1558107233858925, 0.22563082819180366, -0.11959778352026293, 0.057788365771944454, 0.07094148349542012, 0.027805629697816567, -0.0037211375905478253, -0.20509013844260132, 0.29787366578672475, 0.04682707024658931, 0.28072476807109853, 0.0673598646349769, 0.10009746313927338, 0.08172568354379148, -0.04172025503531257, -0.02886519859485487, -0.02791932055805909, 0.17630946708526066, 0.3440844041321357, 0.2246932262416057, 0.28478400888753697, -0.4290229304039732, -0.1558093156051287, 0.008295082848796502, 0.15537739687282195, 0.08007719903748403, -0.11285750703772213, -0.3772317810737072, 0.06437666512570007, -0.1885928687084704, -0.10780854805581955, -0.09701697099359428, -0.009383417145804838, 0.007087318431041104, -0.26613333004903283, -0.03777198321365583, 0.005374339872356901, 0.15189141399682837, -0.06512027280405164, -0.10228735511686574, 0.03171993346706508, 0.26141647653198463, 0.04286854097897068, 0.03416264699672923, 0.17180594203973862, -0.17192107638185647, -0.10807741209220617, 0.4025983936450583, 0.012847316822908978, -0.18105847175490666, 0.30015598362351353, -0.03863793804478693, -0.1413488875073876, 0.036511550793681846, 0.19679435942956108, 0.05664954853907941, -0.15045159564730018, 0.016550304596015114, 0.023132038640509795, 0.14695425389057143, 0.03872818781677237, 0.048286968094118414, 0.1858566298565649, 0.2017453078854274, 0.050328513769001916, 0.1602325101409038, -0.08256647480958874, -0.059321189804517845, -0.2303892215515705, -0.20681152815752207, -0.14212995713101106, -0.03615441260007309, -0.06245293002745924, -0.16575257894285816, 0.38677241293554926, 0.25750605533384974, 0.1395313957795263, 0.05600933865099115, 0.38695430331566233, 0.04673691589213125, 0.08983249110268786, 0.07445955527649123, 0.15106941083324776, 0.0074466698347254, 0.1991773879680624, -0.13177319108805757, 0.09349011707595213, -0.011638083762707228] |
708.3506 | Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear
Media | On the basis of the competing cubic-quintic nonlinearity model, stability
(instability) of continuous waves in nonlocal random non-Kerr nonlinear media
is studied analytically and numerically. Fluctuating media parameters are
modeled by the Gaussian white noise. It is shown that for different response
functions of a medium nonlocality suppresses, as a rule, both the growth rate
peak and bandwidth of instability caused by random parameters. At the same
time, for a special form of the response functions there can be an
''anomalous'' subjection of nonlocality to the instability development which
leads to further increase of the growth rate. Along with the second-order
moments of the modulational amplitude, higher-order moments are taken into
account.
| nlin.PS nlin.CD | on the basis of the competing cubicquintic nonlinearity model stability instability of continuous waves in nonlocal random nonkerr nonlinear media is studied analytically and numerically fluctuating media parameters are modeled by the gaussian white noise it is shown that for different response functions of a medium nonlocality suppresses as a rule both the growth rate peak and bandwidth of instability caused by random parameters at the same time for a special form of the response functions there can be an anomalous subjection of nonlocality to the instability development which leads to further increase of the growth rate along with the secondorder moments of the modulational amplitude higherorder moments are taken into account | [['on', 'the', 'basis', 'of', 'the', 'competing', 'cubicquintic', 'nonlinearity', 'model', 'stability', 'instability', 'of', 'continuous', 'waves', 'in', 'nonlocal', 'random', 'nonkerr', 'nonlinear', 'media', 'is', 'studied', 'analytically', 'and', 'numerically', 'fluctuating', 'media', 'parameters', 'are', 'modeled', 'by', 'the', 'gaussian', 'white', 'noise', 'it', 'is', 'shown', 'that', 'for', 'different', 'response', 'functions', 'of', 'a', 'medium', 'nonlocality', 'suppresses', 'as', 'a', 'rule', 'both', 'the', 'growth', 'rate', 'peak', 'and', 'bandwidth', 'of', 'instability', 'caused', 'by', 'random', 'parameters', 'at', 'the', 'same', 'time', 'for', 'a', 'special', 'form', 'of', 'the', 'response', 'functions', 'there', 'can', 'be', 'an', 'anomalous', 'subjection', 'of', 'nonlocality', 'to', 'the', 'instability', 'development', 'which', 'leads', 'to', 'further', 'increase', 'of', 'the', 'growth', 'rate', 'along', 'with', 'the', 'secondorder', 'moments', 'of', 'the', 'modulational', 'amplitude', 'higherorder', 'moments', 'are', 'taken', 'into', 'account']] | [-0.16843202479313724, 0.16500965278107477, -0.058729835752364214, 0.07429688093713946, -0.06822210123242291, -0.09974797891855643, -0.00458539825515939, 0.32559366009894525, -0.28327316513100453, -0.21777494321367494, 0.09321811539645365, -0.2794386503079, -0.16037189460418247, 0.1863666385525485, 0.03514391057159718, 0.07727427995419717, -0.02157022072388245, -0.016289476796602913, -0.015431438969146158, -0.23295195013083317, 0.3289291073886996, 0.06812025052872864, 0.3133214688398414, 0.026289625634514802, 0.07251030144592126, 0.0038480036388579253, -0.004814848010134589, 0.03321137912739236, -0.10896156882891601, 0.007940522067852923, 0.18583605700247996, 0.04872717048452647, 0.30432306265726955, -0.4488961330136737, -0.28949304088752986, 0.06829488392382323, 0.13052681222692267, 0.1133152565337835, -0.029850589578157408, -0.28997901368986917, 0.026747857350520453, -0.14411427724166764, -0.16104613212650423, -0.06750797663672685, 0.03351264187084461, 0.08384299917914276, -0.3417391716796267, 0.15160378382482506, 0.09981650810453806, 0.008505428763660224, -0.07208096821633009, -0.05422282329684979, -0.05551248660042613, 0.07187173461860365, 0.06616895605593281, 0.008782694527359159, 0.08860755326469673, -0.15451066472949376, -0.07810079372227863, 0.37456247809202503, -0.09048303998671137, -0.2202042645999222, 0.141540423874651, -0.16123156833487587, -0.03021808222003348, 0.1848315310628816, 0.2265606609022094, 0.07347429602465651, -0.13997164640474963, 0.019338740907433268, 0.03061870161678877, 0.1777583287907177, 0.0985976722309584, 0.06863178493169782, 0.18947868933481676, 0.15530258622691706, 0.015679869054069928, 0.1694767914181743, -0.040534921089053016, -0.11666612369050314, -0.2968952816885871, -0.07448104156500047, -0.16570361567711508, 0.029325197983600268, -0.1320982998651809, -0.1788784629413082, 0.4066460778378789, 0.1102663453810991, 0.15817343154586516, 0.011858010707582507, 0.25457246141793494, 0.22340935877176119, 0.0736317761569611, 0.03433611535945454, 0.27497927702728425, 0.15723630936547844, 0.08865181435537231, -0.2649825920417972, 0.11697399268018056, 0.03315186533271461] |
708.3507 | Relativistic Tunneling Through Two Successive Barriers | We study the relativistic quantum mechanical problem of a Dirac particle
tunneling through two successive electrostatic barriers. Our aim is to study
the emergence of the so-called \emph{Generalized Hartman Effect}, an effect
observed in the context of nonrelativistic tunneling as well as in its
electromagnetic counterparts, and which is often associated with the
possibility of superluminal velocities in the tunneling process. We discuss the
behavior of both the phase (or group) tunneling time and the dwell time, and
show that in the limit of opaque barriers the relativistic theory also allows
the emergence of the Generalized Hartman Effect. We compare our results with
the nonrelativistic ones and discuss their interpretation.
| quant-ph | we study the relativistic quantum mechanical problem of a dirac particle tunneling through two successive electrostatic barriers our aim is to study the emergence of the socalled emphgeneralized hartman effect an effect observed in the context of nonrelativistic tunneling as well as in its electromagnetic counterparts and which is often associated with the possibility of superluminal velocities in the tunneling process we discuss the behavior of both the phase or group tunneling time and the dwell time and show that in the limit of opaque barriers the relativistic theory also allows the emergence of the generalized hartman effect we compare our results with the nonrelativistic ones and discuss their interpretation | [['we', 'study', 'the', 'relativistic', 'quantum', 'mechanical', 'problem', 'of', 'a', 'dirac', 'particle', 'tunneling', 'through', 'two', 'successive', 'electrostatic', 'barriers', 'our', 'aim', 'is', 'to', 'study', 'the', 'emergence', 'of', 'the', 'socalled', 'emphgeneralized', 'hartman', 'effect', 'an', 'effect', 'observed', 'in', 'the', 'context', 'of', 'nonrelativistic', 'tunneling', 'as', 'well', 'as', 'in', 'its', 'electromagnetic', 'counterparts', 'and', 'which', 'is', 'often', 'associated', 'with', 'the', 'possibility', 'of', 'superluminal', 'velocities', 'in', 'the', 'tunneling', 'process', 'we', 'discuss', 'the', 'behavior', 'of', 'both', 'the', 'phase', 'or', 'group', 'tunneling', 'time', 'and', 'the', 'dwell', 'time', 'and', 'show', 'that', 'in', 'the', 'limit', 'of', 'opaque', 'barriers', 'the', 'relativistic', 'theory', 'also', 'allows', 'the', 'emergence', 'of', 'the', 'generalized', 'hartman', 'effect', 'we', 'compare', 'our', 'results', 'with', 'the', 'nonrelativistic', 'ones', 'and', 'discuss', 'their', 'interpretation']] | [-0.15183018909513274, 0.1560147374626302, -0.10770018302454529, 0.10055200271792934, -0.053821328963915054, -0.07992398839613253, 0.04470908724767717, 0.35222223031292244, -0.2591436566276984, -0.3080718037418344, 0.024037188266149975, -0.26214890222036047, -0.18108459193979137, 0.18269629361933437, -0.004184305943040686, 0.029272566379619423, 0.011211797188628804, 0.03586870966987176, -0.0614573244873265, -0.17327659127979794, 0.33688739564015785, 0.0895791317569092, 0.27887302076825027, 0.08901055885732852, 0.05973836567506872, 0.042585145703262904, -0.010072971956635063, 0.045889796663753014, -0.10404444694213452, 0.04560568474804644, 0.15289257509760898, 0.026748235813680698, 0.2532108528962867, -0.4750516100024635, -0.20994153737344526, 0.05180808637629856, 0.14753100962843746, 0.15620782179228793, -0.06931508953937075, -0.3206500433724035, 0.011383730418641458, -0.16992964718321507, -0.15722417473285036, -0.017282786999236455, -0.0018463783897459507, 0.007637387372299352, -0.174248130323196, 0.10841004739446693, 0.05696821672609076, -0.0052809412188997325, -0.07069135300804522, -0.03810563462109051, 0.0018279904396463693, 0.0822314237985252, 0.08785851808682889, -0.047153236094692894, 0.1143625958738002, -0.12816430232910947, -0.1892485525205054, 0.4231395917521282, -0.06924140773163262, -0.14919223805720155, 0.1999104450202801, -0.18485805015926335, -0.05713405460965904, 0.09796475769782609, 0.11653359108181162, 0.13152226938612083, -0.12503086619756437, 0.08603034443010323, -0.009949643039991232, 0.0468125276288695, 0.05771860564127564, 0.07686002353544939, 0.20189051834697072, 0.14376113645478406, -0.0016170445998961276, 0.13722249145238577, -0.14604440080901523, -0.13012311094313522, -0.32225277390839024, -0.218923091431233, -0.15076296494596383, 0.0574089802399447, -0.0629988461496065, -0.1634715142606927, 0.3800090122459964, 0.19084489307450977, 0.19903768247670747, 0.03422990370943973, 0.28041731687685983, 0.1509446652775461, 0.0031566922658715735, 0.02880185634236444, 0.2707705730868673, 0.15947336906736548, 0.11704769792797214, -0.31770953260870144, 0.02757871594618667, 0.04335710507055575] |
708.3508 | The young stellar population of NGC 4214 as observed with HST. I. Data
and methods | We present the data and methods that we have used to perform a detailed
UV-optical study of the nearby dwarf starburst galaxy NGC 4214 using
multifilter HST/WFPC2+STIS photometry. We explain the process followed to
obtain high-quality photometry and astrometry of the stellar and cluster
populations of this galaxy. We describe the procedure used to transform
magnitudes and colors into physical parameters using spectral energy
distributions. The data show the existence of both young and old stellar
populations that can be resolved at the distance of NGC 4214 (2.94 Mpc) and we
perform a general description of those populations.
| astro-ph | we present the data and methods that we have used to perform a detailed uvoptical study of the nearby dwarf starburst galaxy ngc 4214 using multifilter hstwfpc2stis photometry we explain the process followed to obtain highquality photometry and astrometry of the stellar and cluster populations of this galaxy we describe the procedure used to transform magnitudes and colors into physical parameters using spectral energy distributions the data show the existence of both young and old stellar populations that can be resolved at the distance of ngc 4214 294 mpc and we perform a general description of those populations | [['we', 'present', 'the', 'data', 'and', 'methods', 'that', 'we', 'have', 'used', 'to', 'perform', 'a', 'detailed', 'uvoptical', 'study', 'of', 'the', 'nearby', 'dwarf', 'starburst', 'galaxy', 'ngc', '4214', 'using', 'multifilter', 'hstwfpc2stis', 'photometry', 'we', 'explain', 'the', 'process', 'followed', 'to', 'obtain', 'highquality', 'photometry', 'and', 'astrometry', 'of', 'the', 'stellar', 'and', 'cluster', 'populations', 'of', 'this', 'galaxy', 'we', 'describe', 'the', 'procedure', 'used', 'to', 'transform', 'magnitudes', 'and', 'colors', 'into', 'physical', 'parameters', 'using', 'spectral', 'energy', 'distributions', 'the', 'data', 'show', 'the', 'existence', 'of', 'both', 'young', 'and', 'old', 'stellar', 'populations', 'that', 'can', 'be', 'resolved', 'at', 'the', 'distance', 'of', 'ngc', '4214', '294', 'mpc', 'and', 'we', 'perform', 'a', 'general', 'description', 'of', 'those', 'populations']] | [0.007528342825082159, -0.007463969151038178, -0.19825375766598993, 0.1280515709786039, -0.10819748902006901, -0.04920243301918519, 0.06208462939002388, 0.49556216453538116, -0.15566876435114704, -0.37408657866462913, 0.05073465203227878, -0.2513552456050055, -0.03940778450329894, 0.20827037035355575, -0.07869827802072174, -0.031486923013064896, 0.13063069099810012, -0.14304747025376743, -0.020414987545383654, -0.29840342053356245, 0.30164305869605124, 0.02781094417705671, 0.12683545701090515, -0.09266198609869197, 0.08637575362328939, -0.05299620136628216, -0.11513514336697835, -0.039253017581884084, -0.21387571100815866, 0.0770625730342779, 0.23840162786895158, 0.18178072793063582, 0.20797885823322787, -0.36598480327688543, -0.18491839369778165, 0.06877772541735898, 0.2123091894192333, 0.05632697077967303, -0.0658356997606911, -0.2856056730061309, 0.05649023973527029, -0.16943685980225653, -0.1959458244292392, 0.0019316877977749735, 0.0013973072612869372, 0.04165913714528007, -0.23567745027602793, 0.15873290195139414, -0.028334421384119495, 0.13125825855285697, -0.14828143394600177, -0.0878074787852364, -0.02932269741137771, 0.1663643934178291, -0.03835469291373828, 0.056996120790442084, 0.13514433324711456, -0.08937728680315014, -0.03644939452726586, 0.380966915297754, -0.04890117019693339, 0.0153599058460329, 0.2472179197735086, -0.16906922800735252, -0.18786861324087553, 0.03667940838339249, 0.17928740758564055, 0.13222314310308123, -0.23033234557213703, 0.004858476149407935, -0.016924677771929, 0.2047668009151503, -0.0011251175322464294, 0.08644528292718381, 0.23591494289486065, 0.10937680143709343, 0.016457605744548832, 0.10172021864150103, -0.27948886367790016, -0.003828561490344018, -0.21029814513227374, -0.06915805614601399, -0.12733780849993842, 0.0974789020754205, -0.13284600736272098, -0.11962879346395583, 0.4127651378704408, 0.1310381984995851, 0.23767459805401944, 0.06000377545997347, 0.31172266156537476, 0.05810562375280046, 0.11159498913732079, 0.11937956388118033, 0.26928568378897366, 0.18353901096840494, 0.038332271792916296, -0.27212297776233907, 0.0035157439697380225, 0.0024066275182496946] |
708.3509 | Modeling polymerization of microtubules: a quantum mechanical approach | In this paper a quantum mechanical description of the assembly/disassembly
process for microtubules is proposed. We introduce creation and annihilation
operators that raise or lower the microtubule length by a tubulin layer.
Following that, the Hamiltonian and corresponding equations of motion for the
quantum fields are derived that describe the dynamics of microtubules. These
Heisenberg-type equations are then transformed to semi-classical equations
using the method of coherent structures. We find that the dynamics of a
microtubule can be mathematically expressed via a cubic-quintic nonlinear
Schr\"{o}dinger (NLS) equation. We show that a vortex filament, a generic
solution of the NLS equation, exhibits linear growth/shrinkage in time as well
as temporal fluctuations about some mean value which is qualitatively similar
to the dynamic instability of microtubules.
| q-bio.BM cond-mat.stat-mech q-bio.QM | in this paper a quantum mechanical description of the assemblydisassembly process for microtubules is proposed we introduce creation and annihilation operators that raise or lower the microtubule length by a tubulin layer following that the hamiltonian and corresponding equations of motion for the quantum fields are derived that describe the dynamics of microtubules these heisenbergtype equations are then transformed to semiclassical equations using the method of coherent structures we find that the dynamics of a microtubule can be mathematically expressed via a cubicquintic nonlinear schrodinger nls equation we show that a vortex filament a generic solution of the nls equation exhibits linear growthshrinkage in time as well as temporal fluctuations about some mean value which is qualitatively similar to the dynamic instability of microtubules | [['in', 'this', 'paper', 'a', 'quantum', 'mechanical', 'description', 'of', 'the', 'assemblydisassembly', 'process', 'for', 'microtubules', 'is', 'proposed', 'we', 'introduce', 'creation', 'and', 'annihilation', 'operators', 'that', 'raise', 'or', 'lower', 'the', 'microtubule', 'length', 'by', 'a', 'tubulin', 'layer', 'following', 'that', 'the', 'hamiltonian', 'and', 'corresponding', 'equations', 'of', 'motion', 'for', 'the', 'quantum', 'fields', 'are', 'derived', 'that', 'describe', 'the', 'dynamics', 'of', 'microtubules', 'these', 'heisenbergtype', 'equations', 'are', 'then', 'transformed', 'to', 'semiclassical', 'equations', 'using', 'the', 'method', 'of', 'coherent', 'structures', 'we', 'find', 'that', 'the', 'dynamics', 'of', 'a', 'microtubule', 'can', 'be', 'mathematically', 'expressed', 'via', 'a', 'cubicquintic', 'nonlinear', 'schrodinger', 'nls', 'equation', 'we', 'show', 'that', 'a', 'vortex', 'filament', 'a', 'generic', 'solution', 'of', 'the', 'nls', 'equation', 'exhibits', 'linear', 'growthshrinkage', 'in', 'time', 'as', 'well', 'as', 'temporal', 'fluctuations', 'about', 'some', 'mean', 'value', 'which', 'is', 'qualitatively', 'similar', 'to', 'the', 'dynamic', 'instability', 'of', 'microtubules']] | [-0.15729580049951292, 0.15865256659397406, -0.0941486869367861, 0.06174901377411398, -0.07362991020706813, -0.12015265661982759, -0.03992382822945083, 0.3305320520509755, -0.30485253671800056, -0.21021130893589748, 0.05747792400577436, -0.2428226737237926, -0.2346804665548036, 0.1883139782341107, 0.004745980454308372, 0.05514871633626641, 0.0706191386881044, 0.022774529523186145, 7.960849512939251e-05, -0.18656920935891028, 0.2945678865296706, -0.00750313073794748, 0.2528500242924859, 0.01605062706737719, 0.170171246450815, -0.02313673325378688, 0.08371007761302134, 0.03212379907152706, -0.16563689798045567, 0.10722295185100407, 0.19642037784703256, 0.060854655307447235, 0.2517643901444371, -0.4918069968886313, -0.24127286821303348, 0.04654742565734552, 0.1943658013800403, 0.1734238106826876, -0.005226596483900663, -0.30810306756381667, 0.06552500626628077, -0.11439170114012555, -0.1533800825230672, -0.0825612002518028, 0.008793129795512574, 0.07856467700067667, -0.23844695537756647, 0.1471101369149232, 0.09391968498840148, 0.015402908925147306, -0.13028654347233956, -0.018589219455832556, -0.06259087469774269, 0.06560719279654985, 0.02138205602433675, 0.00018201073567803588, 0.14970679912010149, -0.15471871873371362, -0.14505330930959673, 0.3908986709561319, -0.08291884647088966, -0.24048897497836622, 0.12798722571084997, -0.09835016473211468, -0.08483106071587591, 0.1217252985394049, 0.16894230721030204, 0.09591123734736035, -0.1792651517091379, 0.050885100130765366, -0.06399745037103252, 0.1713004897014358, 0.08058255125257757, 0.015894749009842803, 0.16008824920807516, 0.16418050252832472, 0.04498202492663216, 0.12516405350329624, -0.03393548187769709, -0.17579743972859316, -0.3097609863316099, -0.15867790633872633, -0.13416002125614473, 0.08976272768303452, -0.07015692661568004, -0.18752517250005998, 0.39745284788190355, 0.13504903197979495, 0.20756869847795198, 0.0673981801880854, 0.2367329661989765, 0.1874470660263943, 0.04062063219927011, 0.047133063394275886, 0.21869560575883482, 0.1497133180485933, 0.11479627858141377, -0.27570480680949383, 0.0254021676655318, 0.1287929266015248] |
708.351 | The young stellar population of NGC 4214 as observed with HST. II.
Results | We present the results of a detailed UV-optical study of the nearby dwarf
starburst galaxy NGC 4214 using multifilter HST/WFPC2+STIS photometry. The
stellar extinction is found to be quite patchy, with some areas having values
of E(4405-5495)< 0.1 mag and others, associated with star forming regions, much
more heavily obscured, a result which is consistent with previous studies of
the nebular extinction. We determined the ratio of blue-to-red supergiants and
found it to be consistent with theoretical models for the metallicity of the
SMC. The stellar IMF of the field in the range 20-100 solar masses is found to
be steeper than Salpeter. A number of massive clusters and associations with
ages between a few and 200 million years are detected and their properties are
discussed.
| astro-ph | we present the results of a detailed uvoptical study of the nearby dwarf starburst galaxy ngc 4214 using multifilter hstwfpc2stis photometry the stellar extinction is found to be quite patchy with some areas having values of e44055495 01 mag and others associated with star forming regions much more heavily obscured a result which is consistent with previous studies of the nebular extinction we determined the ratio of bluetored supergiants and found it to be consistent with theoretical models for the metallicity of the smc the stellar imf of the field in the range 20100 solar masses is found to be steeper than salpeter a number of massive clusters and associations with ages between a few and 200 million years are detected and their properties are discussed | [['we', 'present', 'the', 'results', 'of', 'a', 'detailed', 'uvoptical', 'study', 'of', 'the', 'nearby', 'dwarf', 'starburst', 'galaxy', 'ngc', '4214', 'using', 'multifilter', 'hstwfpc2stis', 'photometry', 'the', 'stellar', 'extinction', 'is', 'found', 'to', 'be', 'quite', 'patchy', 'with', 'some', 'areas', 'having', 'values', 'of', 'e44055495', '01', 'mag', 'and', 'others', 'associated', 'with', 'star', 'forming', 'regions', 'much', 'more', 'heavily', 'obscured', 'a', 'result', 'which', 'is', 'consistent', 'with', 'previous', 'studies', 'of', 'the', 'nebular', 'extinction', 'we', 'determined', 'the', 'ratio', 'of', 'bluetored', 'supergiants', 'and', 'found', 'it', 'to', 'be', 'consistent', 'with', 'theoretical', 'models', 'for', 'the', 'metallicity', 'of', 'the', 'smc', 'the', 'stellar', 'imf', 'of', 'the', 'field', 'in', 'the', 'range', '20100', 'solar', 'masses', 'is', 'found', 'to', 'be', 'steeper', 'than', 'salpeter', 'a', 'number', 'of', 'massive', 'clusters', 'and', 'associations', 'with', 'ages', 'between', 'a', 'few', 'and', '200', 'million', 'years', 'are', 'detected', 'and', 'their', 'properties', 'are', 'discussed']] | [-0.025212021111510694, 0.11045333756133914, -0.07485658371448517, 0.10478913903888315, -0.08260324176959694, -0.07454324003309011, 0.05121745230816305, 0.48032132667303085, -0.10982750115916133, -0.3899275518730283, 0.037103924873284996, -0.293078411757946, -0.019856699245050548, 0.2336568986326456, -0.06912087379395962, -0.05174724890000652, 0.07740875208750367, -0.08034720826521516, -0.042528558775782585, -0.30950349414348605, 0.27150345738232134, 0.04722277007997036, 0.10005316216498614, -0.0498453779341653, -0.0033819004967808723, -0.14400198402628303, -0.09874067804031074, -0.013160287782549858, -0.17714098480716348, 0.08724959929892794, 0.21983557263333933, 0.10482288585603237, 0.22610332001000644, -0.3104561673849821, -0.22584732887148856, 0.07872699227556586, 0.19386889204382896, 0.002530059474520385, -0.08571141118614468, -0.2742535861060023, 0.0943821292705834, -0.18777310929447413, -0.1869290448948741, 0.09791849901713431, 0.05870057276356965, 0.04307627248950303, -0.23822212739288806, 0.17273704886063934, -0.045857583276927474, 0.14870710048824548, -0.11934308382868766, -0.1501540607996285, -0.08820873534679413, 0.07650656392797828, 0.05234661771915853, 0.0932462139222771, 0.16464573098672555, -0.14563483034074307, 0.0213744383379817, 0.41665069268643856, -0.02273841728141997, 0.017939147155033426, 0.25675020895898343, -0.20915782256051899, -0.1675925470739603, 0.12708313097432256, 0.09841126203979365, 0.14699248407781124, -0.2015711566321552, -0.025037532391492277, -0.032114203061908486, 0.22763554415106774, 0.025011184494011105, 0.08278274572000373, 0.2905489468127489, 0.12431216900423168, 0.022217266392894088, 0.062062187498901036, -0.21743821176188066, -0.0787383128516376, -0.18046573630720378, -0.06179837654158473, -0.0958552312022075, 0.10063951007276774, -0.1723350214654347, -0.1324071780629456, 0.3499077192172408, 0.1122241616761312, 0.25798277454823254, 0.09175720737734809, 0.2695156977623701, 0.1159906564950943, 0.13470583945326506, 0.11857791994698345, 0.3142785840157885, 0.21362661689519882, 0.06940474428981543, -0.19259230200573801, 0.09181234261207283, -0.03271055701747537] |
708.3511 | Formulation of a constrained system in terms of extended Lagrangian and
its local symmetries | It is shown that an arbitrary singular Lagrangian theory (with first and
second class constraints up to $N$-th stage in the Hamiltonian formulation) can
be reformulated as a theory with at most third-stage constraints. The
corresponding Lagrangian $\tilde L$ can be obtained by pure algebraic methods,
its manifest form in terms of quantities of the initial formulation is found.
Local symmetries of $\tilde L$ are obtained in closed form. All the first class
constraints of the initial Lagrangian turn out to be gauge symmetry generators
for $\tilde L$.
| hep-th math-ph math.MP | it is shown that an arbitrary singular lagrangian theory with first and second class constraints up to nth stage in the hamiltonian formulation can be reformulated as a theory with at most thirdstage constraints the corresponding lagrangian tilde l can be obtained by pure algebraic methods its manifest form in terms of quantities of the initial formulation is found local symmetries of tilde l are obtained in closed form all the first class constraints of the initial lagrangian turn out to be gauge symmetry generators for tilde l | [['it', 'is', 'shown', 'that', 'an', 'arbitrary', 'singular', 'lagrangian', 'theory', 'with', 'first', 'and', 'second', 'class', 'constraints', 'up', 'to', 'nth', 'stage', 'in', 'the', 'hamiltonian', 'formulation', 'can', 'be', 'reformulated', 'as', 'a', 'theory', 'with', 'at', 'most', 'thirdstage', 'constraints', 'the', 'corresponding', 'lagrangian', 'tilde', 'l', 'can', 'be', 'obtained', 'by', 'pure', 'algebraic', 'methods', 'its', 'manifest', 'form', 'in', 'terms', 'of', 'quantities', 'of', 'the', 'initial', 'formulation', 'is', 'found', 'local', 'symmetries', 'of', 'tilde', 'l', 'are', 'obtained', 'in', 'closed', 'form', 'all', 'the', 'first', 'class', 'constraints', 'of', 'the', 'initial', 'lagrangian', 'turn', 'out', 'to', 'be', 'gauge', 'symmetry', 'generators', 'for', 'tilde', 'l']] | [-0.15067792061753785, 0.1274264040244168, -0.09446155485943303, 0.040754041861978244, -0.08542113561697047, -0.14008409611281308, -0.05809968704860872, 0.27065354734445096, -0.30265940770362343, -0.3243615794070493, 0.08314989463977474, -0.22627237160026428, -0.1302618923698734, 0.15923468295441962, -0.010065247288680282, 0.03294190048874388, 0.026584735097385, 0.09035479118940475, -0.14955590693975918, -0.26119686864402103, 0.2851147575025586, 0.01307551295566105, 0.2012603414946118, 0.0077364828715893045, 0.09851717214560372, -0.03894304161912751, -0.01396746844609921, 0.049436555913082145, -0.11572064521721492, 0.0811789136850971, 0.2535684790151815, 0.08794237349995937, 0.17912372508910537, -0.4216419889152735, -0.15738607405941804, 0.12128653250977225, 0.13861238685083285, 0.09561065074869957, 0.06660814203011493, -0.28132151523283844, 0.11388194842007139, -0.14611718220229464, -0.16728682868616207, -0.09706489230110042, 0.027155171994162702, -0.03523105158117311, -0.31178492825778054, 0.03217212023513242, 0.06582992648084958, -0.00013722607801700462, -0.037032102318962326, -0.10483120151543883, -0.10503985275161164, 0.04877747828140855, 0.054432252844816995, 0.08407975099017394, 0.10019004837497426, -0.1027621890300478, -0.07838163113799589, 0.43854666494057865, -0.08658623435513127, -0.266424898082262, 0.09799715148113754, -0.07914747752720254, -0.1897129217944183, 0.12515824018367405, 0.12293343355172667, 0.17811815411216397, -0.16159746861192345, 0.20162849463776675, -0.05227715145239885, 0.0759683614703773, 0.06538741746060979, 0.05589848802285804, 0.16200081560889196, 0.046915846546287596, 0.11680711663445864, 0.10039832040094825, 0.02614145595901485, -0.13051480156016246, -0.4181172105258909, -0.1353520871643191, -0.16929727921064344, 0.08307611809551031, -0.10737206524585229, -0.09599899920874447, 0.32300976707182566, 0.05569074958049018, 0.2137279318988152, 0.07643753508555479, 0.21679316942804847, 0.20455804235842506, 0.08088259225518539, 0.07634112561635416, 0.20689348846502686, 0.14624114683829248, 0.018666245664159458, -0.21266477202077333, 0.005884268604775612, 0.17451592216846243] |
708.3512 | An estimate for the location of QCD critical end point | It is proposed that a study of the ratio of shear viscosity to entropy
density $\frac{\eta}{s}$ as a function of the baryon chemical potential
$\mu_B$, and temperature T, provides a dynamic probe for the critical end point
(CEP) in hot and dense QCD matter. An initial estimate from an elliptic flow
excitation function gives $\mu^{\text{cep}}_B \sim 150-180$ MeV and
$T_{\text{cep}} \sim 165 - 170$ MeV for the location of the the CEP. These
values place the CEP in the range for "immediate" validation at RHIC.
| nucl-ex | it is proposed that a study of the ratio of shear viscosity to entropy density fracetas as a function of the baryon chemical potential mu_b and temperature t provides a dynamic probe for the critical end point cep in hot and dense qcd matter an initial estimate from an elliptic flow excitation function gives mutextcep_b sim 150180 mev and t_textcep sim 165 170 mev for the location of the the cep these values place the cep in the range for immediate validation at rhic | [['it', 'is', 'proposed', 'that', 'a', 'study', 'of', 'the', 'ratio', 'of', 'shear', 'viscosity', 'to', 'entropy', 'density', 'fracetas', 'as', 'a', 'function', 'of', 'the', 'baryon', 'chemical', 'potential', 'mu_b', 'and', 'temperature', 't', 'provides', 'a', 'dynamic', 'probe', 'for', 'the', 'critical', 'end', 'point', 'cep', 'in', 'hot', 'and', 'dense', 'qcd', 'matter', 'an', 'initial', 'estimate', 'from', 'an', 'elliptic', 'flow', 'excitation', 'function', 'gives', 'mutextcep_b', 'sim', '150180', 'mev', 'and', 't_textcep', 'sim', '165', '170', 'mev', 'for', 'the', 'location', 'of', 'the', 'the', 'cep', 'these', 'values', 'place', 'the', 'cep', 'in', 'the', 'range', 'for', 'immediate', 'validation', 'at', 'rhic']] | [-0.09616830932521601, 0.17347659922819642, -0.13243948694931842, 0.026800163790140663, -0.015986513855395748, -0.07531751257867166, 0.11408850830616202, 0.30299897064886444, -0.22841474133339235, -0.29804135749979715, 0.0327739879153896, -0.31208425822735925, 0.03129669287591241, 0.17328549623943684, 0.05371241510005259, 0.0653461378293819, 0.0011990740597134502, 0.0665278832212363, -0.06860190378388435, -0.14423675363224636, 0.27003923335351143, 0.056200373225004936, 0.21980550985147312, 0.1766364072483578, 0.054250973220005994, -0.015387821648690122, 0.01849474423996559, -0.0576367082369582, -0.21239994431424547, -0.031074605096364394, 0.23043418842049815, 0.031935541365272935, 0.2264692650471882, -0.27802829344461605, -0.21874131727253837, 0.10731380963243725, 0.0984731395956038, 0.04669416700376243, -0.06963690736035748, -0.2261028857220237, 0.12174012139439583, -0.17582681768278524, -0.18711293439903273, -0.04629533363949144, 0.08983869273669837, 0.02788162922838748, -0.32912487286801745, 0.13525820447404574, -0.053703997250101186, 0.06802574515615295, -0.09333536142437923, -0.16434567960024607, -0.049767710166279136, 0.043760016784866955, 0.028303196077325905, 0.17909001908548994, 0.1937299485250217, -0.18885449455801126, -0.009675724358048017, 0.39614931210057763, -0.07472989846747823, -0.04127105384519914, 0.1744471302755722, -0.16686042556084874, -0.11352242623234349, 0.16606147234646104, 0.1697883155117402, 0.11260227843687483, -0.14728562414600718, 0.03201537790336283, 0.020923684304296152, 0.18268487118816332, 0.08037466712568592, 0.0009530416814746653, 0.27946968850248105, 0.1917296336373178, 0.06404797228499708, 0.09739395695534057, -0.16754864389644708, -0.0719294763999287, -0.32784585671771954, -0.13875702524943867, -0.15268805729673904, 0.06137126914747968, -0.18624188106953557, -0.12703843146744298, 0.38046127056884693, 0.16407074355633883, 0.26767485946411174, -0.005176270959853399, 0.27809903918333895, 0.14372176086819707, 0.034385796136608936, 0.09386458256418204, 0.2718286751655907, 0.17580491303829704, 0.21045588984199595, -0.25488053992810866, 0.004246286763923197, 0.04676936304185358] |
708.3513 | Computational complexity of quantum optimal control landscapes | We study the Hamiltonian-independent contribution to the complexity of
quantum optimal control problems. The optimization of controls that steer
quantum systems to desired objectives can itself be considered a classical
dynamical system that executes an analog computation. The system-independent
component of the equations of motion of this dynamical system can be integrated
analytically for various classes of discrete quantum control problems. For the
maximization of observable expectation values from an initial pure state and
the maximization of the fidelity of quantum gates, the time complexity of the
corresponding computation belongs to the class continuous log (CLOG), the
lowest analog complexity class, equivalent to the discrete complexity class NC.
The simple scaling of the Hamiltonian-independent contribution to these
problems with quantum system dimension indicates that with appropriately
designed search algorithms, quantum optimal control can be rendered efficient
even for large systems.
| quant-ph | we study the hamiltonianindependent contribution to the complexity of quantum optimal control problems the optimization of controls that steer quantum systems to desired objectives can itself be considered a classical dynamical system that executes an analog computation the systemindependent component of the equations of motion of this dynamical system can be integrated analytically for various classes of discrete quantum control problems for the maximization of observable expectation values from an initial pure state and the maximization of the fidelity of quantum gates the time complexity of the corresponding computation belongs to the class continuous log clog the lowest analog complexity class equivalent to the discrete complexity class nc the simple scaling of the hamiltonianindependent contribution to these problems with quantum system dimension indicates that with appropriately designed search algorithms quantum optimal control can be rendered efficient even for large systems | [['we', 'study', 'the', 'hamiltonianindependent', 'contribution', 'to', 'the', 'complexity', 'of', 'quantum', 'optimal', 'control', 'problems', 'the', 'optimization', 'of', 'controls', 'that', 'steer', 'quantum', 'systems', 'to', 'desired', 'objectives', 'can', 'itself', 'be', 'considered', 'a', 'classical', 'dynamical', 'system', 'that', 'executes', 'an', 'analog', 'computation', 'the', 'systemindependent', 'component', 'of', 'the', 'equations', 'of', 'motion', 'of', 'this', 'dynamical', 'system', 'can', 'be', 'integrated', 'analytically', 'for', 'various', 'classes', 'of', 'discrete', 'quantum', 'control', 'problems', 'for', 'the', 'maximization', 'of', 'observable', 'expectation', 'values', 'from', 'an', 'initial', 'pure', 'state', 'and', 'the', 'maximization', 'of', 'the', 'fidelity', 'of', 'quantum', 'gates', 'the', 'time', 'complexity', 'of', 'the', 'corresponding', 'computation', 'belongs', 'to', 'the', 'class', 'continuous', 'log', 'clog', 'the', 'lowest', 'analog', 'complexity', 'class', 'equivalent', 'to', 'the', 'discrete', 'complexity', 'class', 'nc', 'the', 'simple', 'scaling', 'of', 'the', 'hamiltonianindependent', 'contribution', 'to', 'these', 'problems', 'with', 'quantum', 'system', 'dimension', 'indicates', 'that', 'with', 'appropriately', 'designed', 'search', 'algorithms', 'quantum', 'optimal', 'control', 'can', 'be', 'rendered', 'efficient', 'even', 'for', 'large', 'systems']] | [-0.13886301618102673, 0.10283821389748482, -0.07716804322720106, 0.06556695286604476, -0.043033566452296716, -0.16740093445571672, 0.038141766326901104, 0.3148067584760221, -0.33436436614637, -0.3075771160124402, 0.10986630580903563, -0.21108026519068518, -0.1384495834154742, 0.22667666499203604, -0.07562480829614547, 0.16169600951844976, 0.03403583152020084, 0.02402267955143803, -0.08322047309983256, -0.26195572319972726, 0.2865618611137117, 0.027460584624870017, 0.2765363610632319, -0.03541826559895916, 0.12314211921683246, -0.003382419063564157, 0.06678416022498693, 0.05485087886585721, -0.09228626408392822, 0.12824397604396967, 0.2757806433655787, 0.14502509430084112, 0.2784786585252732, -0.37196205777249164, -0.1799954719026573, 0.14279151671965207, 0.11837122735866745, 0.13202511720093232, 0.0016470947835062232, -0.2656786853580603, 0.09089928382475461, -0.14011843717058323, -0.11903242575104482, -0.054796735662966965, 0.0017972639628819056, -0.011917365844627575, -0.2891421886693154, 0.03075141836223858, 0.04587313301952756, -0.008975448875155832, -0.06270753320838723, -0.07342690815234423, 0.03170683586753772, 0.1595216815783975, -0.036875823117614864, 0.005846481537862149, 0.15916911213592227, -0.13167247165360355, -0.20493589114131672, 0.3736519637883508, -0.01716483898593911, -0.21137506073407297, 0.1733758820287351, -0.06791748189758177, -0.12872682042486433, 0.15236258740603392, 0.2114202236074821, 0.12124936383749757, -0.13831726715101728, 0.12745476192753163, -0.0010338495951145888, 0.21468704707388367, -0.02088280684048576, 0.09367517786366598, 0.1593101969138453, 0.12011454727700246, 0.13393450451923336, 0.19769431771128437, -0.009766336078921864, -0.19647667702686575, -0.3057107087424291, -0.19967893922169294, -0.1931845237750427, 0.08590162707758801, -0.10539280521282178, -0.1630027336234759, 0.3705925385866846, 0.14507834381864607, 0.14751066811648864, 0.09660043496904629, 0.2829883657528886, 0.20077565967637515, 0.03973620415199548, 0.09031428234385593, 0.20026373121654614, 0.11715641267198537, 0.08204839648346283, -0.30566583525589003, 0.061858323638859604, 0.06035077977659447] |
708.3514 | Characteristic 2 approach to bivariate interpolation problems | We investigate bivariate interpolation problems in characteristic 2. Given a
nonnegative integer $t$, we describe all the sub-linear systems generated by
monomials, in which there is no curve passing through a general point with
multiplicity at least $2^t$. As an application, we show that a certain linear
system of plane curves with 10 base points is non-special.
| math.AG math.NA | we investigate bivariate interpolation problems in characteristic 2 given a nonnegative integer t we describe all the sublinear systems generated by monomials in which there is no curve passing through a general point with multiplicity at least 2t as an application we show that a certain linear system of plane curves with 10 base points is nonspecial | [['we', 'investigate', 'bivariate', 'interpolation', 'problems', 'in', 'characteristic', '2', 'given', 'a', 'nonnegative', 'integer', 't', 'we', 'describe', 'all', 'the', 'sublinear', 'systems', 'generated', 'by', 'monomials', 'in', 'which', 'there', 'is', 'no', 'curve', 'passing', 'through', 'a', 'general', 'point', 'with', 'multiplicity', 'at', 'least', '2t', 'as', 'an', 'application', 'we', 'show', 'that', 'a', 'certain', 'linear', 'system', 'of', 'plane', 'curves', 'with', '10', 'base', 'points', 'is', 'nonspecial']] | [-0.22167901311625252, 0.0870700050903619, -0.06707166361606173, 0.0440980651407715, -0.03716755159231916, -0.17466452948977812, 0.024111514126783924, 0.3636962527474552, -0.3189190614707114, -0.21303360907589658, 0.10967733623182173, -0.29573558483338147, -0.17385087542954766, 0.21887457705707403, -0.04963168348267413, 0.03728885719912094, 0.030799137068945066, 0.07348431627829805, -0.10624824789058614, -0.304001617425105, 0.341430225058279, -0.06682553023034543, 0.14486372537845582, -0.01967732449830101, 0.15986846311410008, 0.056410392823939524, 0.02791452009982446, 0.053990880795346016, -0.1276865287714795, 0.04022453515790403, 0.29289738513660013, 0.1386658031403561, 0.24348914147795817, -0.346172177020395, -0.1810860790377646, 0.19953579047139278, 0.11391136419485536, 0.04162556186865754, -0.06036869157105684, -0.13173523419454955, 0.1788416750925152, -0.1045263759922563, -0.18555380112344497, -0.023133041112471307, 0.05904436067334915, 0.06379259420199353, -0.2870979090793091, -0.0178248015673537, 0.09125246347455111, 0.18053205809637643, -0.021444879080119886, -0.14315602929625465, 0.0009053459047879043, 0.014960530597977993, -0.010092710324546747, 0.08683030025445317, 0.03373759789719132, -0.08998282145904868, -0.14129433137152278, 0.3496952351476801, -0.08049959273959853, -0.20305473695656187, 0.17130063106550983, -0.1932040687421696, -0.11499763874484129, 0.15499006161106782, 0.15820122055153837, 0.15801436013594197, -0.0960635614761135, 0.14210998128053912, -0.10749572348829947, 0.18470609192011403, 0.1120431625586526, -0.06014042911058488, 0.1826148211114566, 0.09044635563010447, 0.11604740141417112, 0.15967230508798375, -0.042119980013618864, -0.04065628284833541, -0.3891696943002835, -0.16468636570661738, -0.1911287311252141, 0.0850790746248605, -0.14152164987631535, -0.1558707308089524, 0.3667436734234032, 0.084406570220987, 0.28902245352142736, 0.06984196959283988, 0.23729246967521153, 0.17720961407962532, 0.023180199460240834, 0.15804325226334887, 0.11405520958074353, 0.09340092419287223, 0.03728570465586687, -0.12702715329891234, 0.015360753517597914, 0.09922331580565426] |
708.3515 | Intransitive geometries and fused amalgams | We study geometries that arise from the natural $G_2(K)$ action on the
geometry of one-dimensional subspaces, of nonsingular two-dimensional
subspaces, and of nonsingular three-dimensional subspaces of the building
geometry of type $C_3(K)$ where $K$ is a perfect field of characteristic 2. One
of these geometries is intransitive in such a way that the non-standard
geometric covering theory by the first and the last author is not applicable.
In this paper we introduce the concept of fused amalgams in order to extend the
geometric covering theory so that it applies to that geometry. This yields an
interesting new amalgamation result for the group $G_2(K)$.
| math.GR math.CO | we study geometries that arise from the natural g_2k action on the geometry of onedimensional subspaces of nonsingular twodimensional subspaces and of nonsingular threedimensional subspaces of the building geometry of type c_3k where k is a perfect field of characteristic 2 one of these geometries is intransitive in such a way that the nonstandard geometric covering theory by the first and the last author is not applicable in this paper we introduce the concept of fused amalgams in order to extend the geometric covering theory so that it applies to that geometry this yields an interesting new amalgamation result for the group g_2k | [['we', 'study', 'geometries', 'that', 'arise', 'from', 'the', 'natural', 'g_2k', 'action', 'on', 'the', 'geometry', 'of', 'onedimensional', 'subspaces', 'of', 'nonsingular', 'twodimensional', 'subspaces', 'and', 'of', 'nonsingular', 'threedimensional', 'subspaces', 'of', 'the', 'building', 'geometry', 'of', 'type', 'c_3k', 'where', 'k', 'is', 'a', 'perfect', 'field', 'of', 'characteristic', '2', 'one', 'of', 'these', 'geometries', 'is', 'intransitive', 'in', 'such', 'a', 'way', 'that', 'the', 'nonstandard', 'geometric', 'covering', 'theory', 'by', 'the', 'first', 'and', 'the', 'last', 'author', 'is', 'not', 'applicable', 'in', 'this', 'paper', 'we', 'introduce', 'the', 'concept', 'of', 'fused', 'amalgams', 'in', 'order', 'to', 'extend', 'the', 'geometric', 'covering', 'theory', 'so', 'that', 'it', 'applies', 'to', 'that', 'geometry', 'this', 'yields', 'an', 'interesting', 'new', 'amalgamation', 'result', 'for', 'the', 'group', 'g_2k']] | [-0.12498101469997352, 0.10666730587307965, -0.09500682117978057, 0.032040069644899985, -0.08270635541293372, -0.10262740376287872, -0.02383791850721554, 0.32836142985276806, -0.3052496129954324, -0.2153074769212783, 0.09983902326129486, -0.2163520993809532, -0.20881375501574315, 0.19745947474848877, -0.12228577653199289, -0.018300590385655756, -0.00346579903610123, 0.05787279975862758, -0.09916037059777859, -0.2592875324890415, 0.40833894674241256, -0.005577038489824649, 0.2286773983692045, 0.017577486652971326, 0.10104009747342432, 0.048328314451229516, -0.010061344691299047, 0.08159899950316808, -0.17750087060351874, 0.17122407192680805, 0.2697414904652001, 0.11125363332210379, 0.19276099610910977, -0.38354639707187427, -0.2199843142981849, 0.10610924663420007, 0.09768362114323502, 0.10933797904832777, -0.038876493421871466, -0.24089131591100138, 0.08677602111637701, -0.1558658870579042, -0.14543621563714323, -0.061645909130021714, 0.016832747382509693, -0.020092280393972702, -0.2189237783590639, 0.022362254012954757, 0.14156104172173056, 0.07456415671927547, -0.04542633061053105, -0.0677038013428739, 0.012651398203796843, 0.11864828003697026, 0.013179777391272986, 0.009149064429701098, 0.05804750237849007, -0.09065653899349996, -0.11302508822488554, 0.4006040880040636, -0.04982069420099294, -0.1893916394633865, 0.19637245873161094, -0.13109772091333582, -0.1529744523577392, 0.13229953418983129, 0.16034553011933578, 0.15061468683246487, -0.08852526352026509, 0.17346230414085706, -0.13422376632202163, 0.11491189480875619, 0.07953833157504067, 0.01819106006036395, 0.16644450228489502, 0.12732747596354016, 0.11748904825269597, 0.1362711569719306, -0.02096318401332981, -0.09155204615926424, -0.3537190612586378, -0.19364914445441614, -0.1528588309386763, 0.09166719370255431, -0.0956493252388188, -0.18592849048306642, 0.40589998080169115, 0.12465086483477968, 0.20993872037048913, 0.023721892712185683, 0.23657102658621315, 0.04943027951329657, 0.05576868132841818, 0.03998451236888621, 0.19903412333336992, 0.17356153878889688, 0.018274809322003455, -0.14499881828782482, -0.04402453442854644, 0.13259639886650934] |
708.3516 | Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic
Salpeter Method | Two-photon and two-gluon annihilation rates of P-wave scalar charmonium and
bottomonium up to third radial excited states are estimated in the relativistic
Salpeter method. We solved the full Salpeter equation with a well defined
relativistic wave function and calculated the transition amplitude using the
Mandelstam formalism. Our model dependent estimates for the decay widths:
$\Gamma(\chi_{c0} \to 2\gamma)=3.78$ keV, $\Gamma(\chi'_{c0} \to 2\gamma)=3.51$
keV, $\Gamma(\chi_{b0} \to 2\gamma)=48.8$ eV and $\Gamma(\chi'_{b0} \to
2\gamma)=50.3$ eV. We also give estimates of total widths by the two-gluon
decay rates: $\Gamma_{tot}(\chi_{c0})=10.3$ MeV,
$\Gamma_{tot}(\chi'_{c0})=9.61$ MeV, $\Gamma_{tot}(\chi_{b0})=0.887$ MeV and
$\Gamma_{tot}(\chi'_{b0})=0.914$ MeV.
| hep-ph | twophoton and twogluon annihilation rates of pwave scalar charmonium and bottomonium up to third radial excited states are estimated in the relativistic salpeter method we solved the full salpeter equation with a well defined relativistic wave function and calculated the transition amplitude using the mandelstam formalism our model dependent estimates for the decay widths gammachi_c0 to 2gamma378 kev gammachi_c0 to 2gamma351 kev gammachi_b0 to 2gamma488 ev and gammachi_b0 to 2gamma503 ev we also give estimates of total widths by the twogluon decay rates gamma_totchi_c0103 mev gamma_totchi_c0961 mev gamma_totchi_b00887 mev and gamma_totchi_b00914 mev | [['twophoton', 'and', 'twogluon', 'annihilation', 'rates', 'of', 'pwave', 'scalar', 'charmonium', 'and', 'bottomonium', 'up', 'to', 'third', 'radial', 'excited', 'states', 'are', 'estimated', 'in', 'the', 'relativistic', 'salpeter', 'method', 'we', 'solved', 'the', 'full', 'salpeter', 'equation', 'with', 'a', 'well', 'defined', 'relativistic', 'wave', 'function', 'and', 'calculated', 'the', 'transition', 'amplitude', 'using', 'the', 'mandelstam', 'formalism', 'our', 'model', 'dependent', 'estimates', 'for', 'the', 'decay', 'widths', 'gammachi_c0', 'to', '2gamma378', 'kev', 'gammachi_c0', 'to', '2gamma351', 'kev', 'gammachi_b0', 'to', '2gamma488', 'ev', 'and', 'gammachi_b0', 'to', '2gamma503', 'ev', 'we', 'also', 'give', 'estimates', 'of', 'total', 'widths', 'by', 'the', 'twogluon', 'decay', 'rates', 'gamma_totchi_c0103', 'mev', 'gamma_totchi_c0961', 'mev', 'gamma_totchi_b00887', 'mev', 'and', 'gamma_totchi_b00914', 'mev']] | [-0.016148524066410597, 0.23803331868768465, -0.02334583758535545, 0.19485111732785476, -0.022581255252234547, -0.1456603091380491, 0.10937556292770839, 0.4194294859700632, -0.16234889310761924, -0.30813213560457636, -0.11824154534246545, -0.31928509237562736, 0.11261156044627835, 0.14722962562483166, 0.15526412058303632, 0.12510739607600177, 0.08297489728869462, -0.009936051426182797, -0.1206514290306808, -0.1885651193854467, 0.29111786503571924, 0.05085571806468978, 0.17817378766471292, 0.18444281478026292, 0.0022966304691735564, 0.00598754614830108, 0.04042992068500054, -0.1629637923182511, -0.22739050547001746, 0.08048718405259978, 0.20430530393893673, 0.02106800042064406, 0.16608604787644454, -0.298610172529773, -0.14906509674335944, 0.061130796374594114, 0.16555687217269002, 0.08968936073275782, 0.038236843822410375, -0.3925846126895943, 0.08006979585284503, -0.22842511055400458, -0.19129639051332162, -0.04985911380953905, 0.012817834731100536, -0.011627468098772735, -0.30278164425455945, 0.21789451227090378, -0.10113985421243919, -0.07706779929831988, -0.15728199775557875, -0.23858889960116003, -0.047990826799011815, -0.02097419259300251, 0.10578571881377706, 0.0683037170390712, 0.15603746899698928, -0.0788874231369757, -0.1198532023770939, 0.385969471867855, -0.13860313971413346, -0.09974389840144574, 0.028656509773033422, -0.15096976671072587, -0.04957224892611366, 0.23468801898529706, 0.15435478429128302, 0.10378417445392144, -0.15059978230969934, 0.04692001008391721, 0.023742045826887676, 0.22450987118716556, 0.10787546460335029, 0.0671850400408957, 0.12300910475868278, 0.07013099203340528, -0.05517007143622855, 0.0448529939905445, -0.1243752803335466, -0.0781117934597338, -0.34309791864418404, -0.07140864363113573, -0.0958632512199806, 0.12682401532610374, -0.02486331406437718, -0.11467200265515869, 0.38883557609032565, 0.059106600732065556, 0.21917007852163983, 0.04456871534447845, 0.2945461437708085, 0.25878211007050306, 0.04302568948350665, 0.09769717145075159, 0.296474935339264, 0.27365696182042903, 0.13761768013057185, -0.27845363841369386, -0.0525319230311164, 0.06128052214342283] |
708.3517 | Sparse inverse covariance estimation with the lasso | We consider the problem of estimating sparse graphs by a lasso penalty
applied to the inverse covariance matrix. Using a coordinate descent procedure
for the lasso, we develop a simple algorithm that is remarkably fast: in the
worst cases, it solves a 1000 node problem (~500,000 parameters) in about a
minute, and is 50 to 2000 times faster than competing methods. It also provides
a conceptual link between the exact problem and the approximation suggested by
Meinhausen and Buhlmann (2006). We illustrate the method on some cell-signaling
data from proteomics.
| stat.ME | we consider the problem of estimating sparse graphs by a lasso penalty applied to the inverse covariance matrix using a coordinate descent procedure for the lasso we develop a simple algorithm that is remarkably fast in the worst cases it solves a 1000 node problem 500000 parameters in about a minute and is 50 to 2000 times faster than competing methods it also provides a conceptual link between the exact problem and the approximation suggested by meinhausen and buhlmann 2006 we illustrate the method on some cellsignaling data from proteomics | [['we', 'consider', 'the', 'problem', 'of', 'estimating', 'sparse', 'graphs', 'by', 'a', 'lasso', 'penalty', 'applied', 'to', 'the', 'inverse', 'covariance', 'matrix', 'using', 'a', 'coordinate', 'descent', 'procedure', 'for', 'the', 'lasso', 'we', 'develop', 'a', 'simple', 'algorithm', 'that', 'is', 'remarkably', 'fast', 'in', 'the', 'worst', 'cases', 'it', 'solves', 'a', '1000', 'node', 'problem', '500000', 'parameters', 'in', 'about', 'a', 'minute', 'and', 'is', '50', 'to', '2000', 'times', 'faster', 'than', 'competing', 'methods', 'it', 'also', 'provides', 'a', 'conceptual', 'link', 'between', 'the', 'exact', 'problem', 'and', 'the', 'approximation', 'suggested', 'by', 'meinhausen', 'and', 'buhlmann', '2006', 'we', 'illustrate', 'the', 'method', 'on', 'some', 'cellsignaling', 'data', 'from', 'proteomics']] | [-0.04209921157427048, 0.010576163230233648, -0.07863198005165277, 0.12173633655439016, -0.09030595375748163, -0.1768919978175689, 0.09928091992676426, 0.4140522622325447, -0.2792837196095125, -0.3220595116360804, 0.14120245164030054, -0.257959626845262, -0.19901743489369916, 0.21545943798329892, -0.0848064811827008, 0.06294336470283485, 0.11151761863003956, 0.02553610386473409, -0.0918951152949437, -0.2833147859331639, 0.20087876719202888, 0.0756450096835916, 0.25264950621915, -0.0133053573015868, 0.1624154468404464, 0.04347605769930596, -0.04043113699789797, 0.023386218573444677, -0.10203141680425831, 0.10958172352539815, 0.24808913626017445, 0.17843697986596924, 0.36338966109612014, -0.37444966212909125, -0.1769539007624046, 0.09633810143248084, 0.1166365053243098, 0.13437390916593625, -0.015891638570046576, -0.24323656633914856, 0.09882453933954657, -0.16413556613823335, -0.07973583744252834, -0.05766405153946344, 0.003147977592653773, -0.039450247751109384, -0.3337749038310198, 0.12951369994559347, 0.03513660247364406, 0.040645516116506936, -0.027959033875631985, -0.13733596364140846, 0.10320648899971602, 0.043077672428838656, 0.07106200846178938, 0.028128491965739914, 0.089753678361519, -0.07192091894953438, -0.10382378072572056, 0.3692747074587459, -0.021505088763333742, -0.20331042567320334, 0.14819493980815351, -0.04416069619650586, -0.11709793837573589, 0.12420261260959205, 0.1728982229199093, 0.1444575647206119, -0.16320910751610324, 0.08144485398805229, -0.07826375879682182, 0.136882998813153, 0.045025286358896265, -0.10290095028519798, 0.06460463468069105, 0.17639951935310041, 0.13816373127517867, 0.14218343598009453, -0.10201529208099826, -0.07745774356606469, -0.22656471508141773, -0.11567598296031147, -0.19343379499348864, 0.010046714090145705, -0.16425830324581336, -0.1403838565594025, 0.4256645879090837, 0.1671956389765726, 0.22508430964407627, 0.08972009248361829, 0.3026195897438218, 0.07222545979900306, 0.04070656987623602, 0.14330496697613362, 0.18017697359044157, 0.14892060805133053, 0.07398604626212729, -0.18993254782098315, 0.06885135610682074, 0.10799596721327372] |
708.3518 | A Look at the Abandoned Contributions to Cosmology of Dirac, Sciama and
Dicke | The separate contributions to cosmology of the above researchers are
revisited and a cosmology encompassing their basic ideas is proposed. We study
Dirac's article on the large number hypothesis (1938), Sciama's proposal of
realizing Mach's principle (1953), and Dicke's considerations (1957) on a
flat-space representation of general relativity with a variable speed of light
(VSL). Dicke's tentative theory can be formulated in a way which is compatible
with Sciama's hypothesis on the gravitational constant G. Additionally, such a
cosmological model is shown to satisfy Dirac's second `large number' hypothesis
on the total number of particles in the universe being proportional to the
square of the epoch. In the same context, Dirac's first hypothesis on an
epoch-dependent G-contrary to his prediction- does not necessarily produce a
visible time dependence of G. While Dicke's proposalreproduces the classical
tests of GR in first approximation, the cosmological redshift is described by a
shortening of measuring rods rather than an expansion of space. Since the
temporal evolution of the horizon R is governed by \dot R(t) =c(t), the
flatness and horizon problems do not arise in the common form.
| physics.gen-ph gr-qc | the separate contributions to cosmology of the above researchers are revisited and a cosmology encompassing their basic ideas is proposed we study diracs article on the large number hypothesis 1938 sciamas proposal of realizing machs principle 1953 and dickes considerations 1957 on a flatspace representation of general relativity with a variable speed of light vsl dickes tentative theory can be formulated in a way which is compatible with sciamas hypothesis on the gravitational constant g additionally such a cosmological model is shown to satisfy diracs second large number hypothesis on the total number of particles in the universe being proportional to the square of the epoch in the same context diracs first hypothesis on an epochdependent gcontrary to his prediction does not necessarily produce a visible time dependence of g while dickes proposalreproduces the classical tests of gr in first approximation the cosmological redshift is described by a shortening of measuring rods rather than an expansion of space since the temporal evolution of the horizon r is governed by dot rt ct the flatness and horizon problems do not arise in the common form | [['the', 'separate', 'contributions', 'to', 'cosmology', 'of', 'the', 'above', 'researchers', 'are', 'revisited', 'and', 'a', 'cosmology', 'encompassing', 'their', 'basic', 'ideas', 'is', 'proposed', 'we', 'study', 'diracs', 'article', 'on', 'the', 'large', 'number', 'hypothesis', '1938', 'sciamas', 'proposal', 'of', 'realizing', 'machs', 'principle', '1953', 'and', 'dickes', 'considerations', '1957', 'on', 'a', 'flatspace', 'representation', 'of', 'general', 'relativity', 'with', 'a', 'variable', 'speed', 'of', 'light', 'vsl', 'dickes', 'tentative', 'theory', 'can', 'be', 'formulated', 'in', 'a', 'way', 'which', 'is', 'compatible', 'with', 'sciamas', 'hypothesis', 'on', 'the', 'gravitational', 'constant', 'g', 'additionally', 'such', 'a', 'cosmological', 'model', 'is', 'shown', 'to', 'satisfy', 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708.3519 | Photons inside a waveguide as massive particles | In the paper, we show that there exists a close analogy between the behavior
of de Broglie matter waves and that of electromagnetic waves inside a hollow
waveguide, such that the guided photons can be treated as free massive
particles subject to a relativistic quantum-mechanical equation. Inspired by
the effective rest mass of guided photons and the zitterbewegung phenomenon of
the Dirac electron, at variance with the well-known Higgs mechanism we present
some different heuristic ideas on the origin of mass.
| quant-ph | in the paper we show that there exists a close analogy between the behavior of de broglie matter waves and that of electromagnetic waves inside a hollow waveguide such that the guided photons can be treated as free massive particles subject to a relativistic quantummechanical equation inspired by the effective rest mass of guided photons and the zitterbewegung phenomenon of the dirac electron at variance with the wellknown higgs mechanism we present some different heuristic ideas on the origin of mass | [['in', 'the', 'paper', 'we', 'show', 'that', 'there', 'exists', 'a', 'close', 'analogy', 'between', 'the', 'behavior', 'of', 'de', 'broglie', 'matter', 'waves', 'and', 'that', 'of', 'electromagnetic', 'waves', 'inside', 'a', 'hollow', 'waveguide', 'such', 'that', 'the', 'guided', 'photons', 'can', 'be', 'treated', 'as', 'free', 'massive', 'particles', 'subject', 'to', 'a', 'relativistic', 'quantummechanical', 'equation', 'inspired', 'by', 'the', 'effective', 'rest', 'mass', 'of', 'guided', 'photons', 'and', 'the', 'zitterbewegung', 'phenomenon', 'of', 'the', 'dirac', 'electron', 'at', 'variance', 'with', 'the', 'wellknown', 'higgs', 'mechanism', 'we', 'present', 'some', 'different', 'heuristic', 'ideas', 'on', 'the', 'origin', 'of', 'mass']] | [-0.1358032638988929, 0.24807157002987318, -0.10354912875473131, 0.10775945669063079, -0.10032005757553342, -0.11781130182085398, 0.01690619090790458, 0.33413243169585866, -0.2185764753397692, -0.29044110348655117, -0.03461962362412179, -0.3007060361876624, -0.1475006449783658, 0.17658952787449514, 0.004116914982413069, 0.0299475715254192, 0.02843158840443249, 0.03175520311673114, -0.021394732411099987, -0.1316634210539453, 0.3403690385080322, 0.08797170555421703, 0.24252596268729296, 0.056823680326802496, 0.15341330792777885, 0.044229161293234356, 0.033594688268401375, 0.001924377555648486, -0.12311829689645458, 0.07273687210140957, 0.18700715354471295, 0.0821874301886347, 0.26003489106387634, -0.4525738724587876, -0.231937281453959, 0.08905147444916728, 0.19214965806653103, 0.13270323897171535, -0.12300396195676086, -0.30576226743007145, 0.024332644693829394, -0.14434013956939273, -0.18186604532263714, 0.046107940973690996, -0.021301771404888526, -0.016241286389736667, -0.19425154707314055, 0.08528227065682675, 0.04343625155771956, -0.02145544347571738, -0.06646549426893025, -0.06022702200039302, -0.025943962241994377, 0.01786756978864655, 0.108385147480869, 0.01153173809296187, 0.14386323723298164, -0.11340390496461848, -0.13100717899700007, 0.42652943662517234, -0.08816063302902528, -0.20370876147281694, 0.187206669681832, -0.1478955770589779, -0.04495676803506083, 0.1389412927314823, 0.14791594395689941, 0.09451401345201849, -0.1095759398361415, 0.06257672167963774, -0.07372846333080052, 0.14076942202123457, 0.14140267164538395, 0.06975001606653318, 0.302182767747177, 0.13506440638943953, -0.009505954627120108, 0.08682891202049997, -0.04078387052545117, -0.06861531601379407, -0.33370829937421936, -0.16381118839813602, -0.1951523564560454, 0.050971398325522006, -0.050791767265764065, -0.16039752774515453, 0.3668700170093848, 0.15178389190466224, 0.17620139209162675, -0.005197430673388787, 0.28259809033939454, 0.13495602010157143, 0.022108258116116494, 0.07624843024453264, 0.3094704342696293, 0.15246919159386538, 0.10455564170914852, -0.25488369712997, -0.05629480249006991, 0.05594075676973587] |
708.352 | Prisoner's Dilemma in One-Dimensional Cellular Automata: Visualization
of Evolutionary Patterns | The spatial Prisoner's Dilemma is a prototype model to show the emergence of
cooperation in very competitive environments. It considers players, at site of
lattices, that can either cooperate or defect when playing the Prisoner's
Dilemma with other z players. This model presents a rich phase diagram. Here we
consider players in cells of one-dimensional cellular automata. Each player
interacts with other z players. This geometry allows us to vary, in a simple
manner, the number of neighbors ranging from one up to the lattice size,
including self-interaction. This approach has multiple advantages. It is simple
to implement numerically and we are able to retrieve all the previous results
found in the previously considered lattices, with a faster convergence to
stationary values. More remarkable, it permits us to keep track of the
spatio-temporal evolution of each player of the automaton. Giving rise to
interesting patterns. These patterns allow the interpretation of
cooperation/defection clusters as particles, which can be absorbed and collided
among themselves. The presented approach represents a new paradigm to study the
emergence and maintenance of cooperation in the spatial Prisoner's Dilemma.
| physics.comp-ph physics.soc-ph | the spatial prisoners dilemma is a prototype model to show the emergence of cooperation in very competitive environments it considers players at site of lattices that can either cooperate or defect when playing the prisoners dilemma with other z players this model presents a rich phase diagram here we consider players in cells of onedimensional cellular automata each player interacts with other z players this geometry allows us to vary in a simple manner the number of neighbors ranging from one up to the lattice size including selfinteraction this approach has multiple advantages it is simple to implement numerically and we are able to retrieve all the previous results found in the previously considered lattices with a faster convergence to stationary values more remarkable it permits us to keep track of the spatiotemporal evolution of each player of the automaton giving rise to interesting patterns these patterns allow the interpretation of cooperationdefection clusters as particles which can be absorbed and collided among themselves the presented approach represents a new paradigm to study the emergence and maintenance of cooperation in the spatial prisoners dilemma | [['the', 'spatial', 'prisoners', 'dilemma', 'is', 'a', 'prototype', 'model', 'to', 'show', 'the', 'emergence', 'of', 'cooperation', 'in', 'very', 'competitive', 'environments', 'it', 'considers', 'players', 'at', 'site', 'of', 'lattices', 'that', 'can', 'either', 'cooperate', 'or', 'defect', 'when', 'playing', 'the', 'prisoners', 'dilemma', 'with', 'other', 'z', 'players', 'this', 'model', 'presents', 'a', 'rich', 'phase', 'diagram', 'here', 'we', 'consider', 'players', 'in', 'cells', 'of', 'onedimensional', 'cellular', 'automata', 'each', 'player', 'interacts', 'with', 'other', 'z', 'players', 'this', 'geometry', 'allows', 'us', 'to', 'vary', 'in', 'a', 'simple', 'manner', 'the', 'number', 'of', 'neighbors', 'ranging', 'from', 'one', 'up', 'to', 'the', 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708.3521 | A novel operation associated with Gauss' arithmetic-geometric means | The arithmetic mean is the mean for addition and the geometric mean is that
for multiplication. Then what kind of binary operation is associated with the
arithmetic-geometric mean (AGM) due to C. F. Gauss? If it is possible to
construct an arithmetic operation such that AGM is the mean for this operation,
it can be regarded as an intermediate operation between addition and
multiplication in view of the meaning of AGM. In this paper such an operation
is introduced and several of its algebraic properties are proved.
| math.NT math.GM | the arithmetic mean is the mean for addition and the geometric mean is that for multiplication then what kind of binary operation is associated with the arithmeticgeometric mean agm due to c f gauss if it is possible to construct an arithmetic operation such that agm is the mean for this operation it can be regarded as an intermediate operation between addition and multiplication in view of the meaning of agm in this paper such an operation is introduced and several of its algebraic properties are proved | [['the', 'arithmetic', 'mean', 'is', 'the', 'mean', 'for', 'addition', 'and', 'the', 'geometric', 'mean', 'is', 'that', 'for', 'multiplication', 'then', 'what', 'kind', 'of', 'binary', 'operation', 'is', 'associated', 'with', 'the', 'arithmeticgeometric', 'mean', 'agm', 'due', 'to', 'c', 'f', 'gauss', 'if', 'it', 'is', 'possible', 'to', 'construct', 'an', 'arithmetic', 'operation', 'such', 'that', 'agm', 'is', 'the', 'mean', 'for', 'this', 'operation', 'it', 'can', 'be', 'regarded', 'as', 'an', 'intermediate', 'operation', 'between', 'addition', 'and', 'multiplication', 'in', 'view', 'of', 'the', 'meaning', 'of', 'agm', 'in', 'this', 'paper', 'such', 'an', 'operation', 'is', 'introduced', 'and', 'several', 'of', 'its', 'algebraic', 'properties', 'are', 'proved']] | [-0.12035485501561699, 0.11683121855265659, -0.12677144253861972, 0.06205889210640185, -0.061520448554007484, -0.09227870061629634, 0.008646737587445512, 0.38317796904807805, -0.36733178434700803, -0.2894852851977807, 0.14246050857446402, -0.21638011863293266, -0.20492696535141988, 0.23785816670406137, -0.16760473519606495, 0.0269577947609801, 0.006527122206472117, 0.1551207294366483, -0.08304694980107269, -0.28216707768004345, 0.28876777601310577, 0.04540567669546467, 0.17708297582589433, 0.046485635821290054, 0.12338079549586294, -0.003254873041149186, 0.0028301540430335477, 0.01241812411422745, -0.0666886196993947, 0.1280975896736671, 0.21430026707721167, 0.16202678227390366, 0.2855401390671045, -0.35478688793620844, -0.1561702710908206, 0.14145500626249088, 0.10123519844110605, 0.018494696345651287, -0.004939256198490146, -0.180006546970596, 0.15182243934136697, -0.1591214861977717, -0.11155445083718875, -0.0777824221275233, 0.07058991761556987, 0.020810836069714064, -0.27040107901764754, -0.0007046622106398659, 0.14592300901382133, 0.10914223910919552, -0.008257112269097104, -0.10644669397653819, 0.030446198950896317, 0.10900176125953252, 0.018075233630450636, 0.07438869724028754, 0.07654879445574064, -0.11164679425907717, -0.11498833124943335, 0.39696275498503925, -0.03573110072348995, -0.19725877855872287, 0.12870306440297213, -0.07078451395634262, -0.10895465117954146, 0.06640345553450029, 0.09724791450479507, 0.09621296397506676, -0.13315394485433554, 0.0951908962117326, -0.05777496361741047, 0.14322621878450628, 0.09277840531912857, 0.040150362934018004, 0.1536500668554599, 0.1218026886940345, 0.1063111902203882, 0.12610271632880102, -0.08485952644386789, -0.09308908566171517, -0.35001838213667785, -0.22430439984383083, -0.17381150088401448, 0.08863553507574673, -0.06247802847282474, -0.19541288006665378, 0.37932165298910664, 0.118824220064428, 0.15066618054848294, 0.0875585706685081, 0.28116547527466096, 0.18130846703612385, 0.06659389559270536, 0.09052194015861585, 0.20950046141000314, 0.20412072717030158, 0.048191199250433636, -0.17158252012048816, 0.08131872309136322, 0.08789741384914551] |
708.3522 | Bounding the Betti numbers and computing the Euler-Poincar\'e
characteristic of semi-algebraic sets defined by partly quadratic systems of
polynomials | Let $\R$ be a real closed field, $ {\mathcal Q} \subset
\R[Y_1,...,Y_\ell,X_1,...,X_k], $ with $ \deg_{Y}(Q) \leq 2, \deg_{X}(Q) \leq
d, Q \in {\mathcal Q}, #({\mathcal Q})=m,$ and $ {\mathcal P} \subset
\R[X_1,...,X_k] $ with $\deg_{X}(P) \leq d, P \in {\mathcal P}, #({\mathcal
P})=s$, and $S \subset \R^{\ell+k}$ a semi-algebraic set defined by a Boolean
formula without negations, with atoms $P=0, P \geq 0, P \leq 0, P \in {\mathcal
P} \cup {\mathcal Q}$. We prove that the sum of the Betti numbers of $S$ is
bounded by \[ \ell^2 (O(s+\ell+m)\ell d)^{k+2m}. \] This is a common
generalization of previous results on bounding the Betti numbers of closed
semi-algebraic sets defined by polynomials of degree $d$ and 2, respectively.
We also describe an algorithm for computing the Euler-Poincar\'e
characteristic of such sets, generalizing similar algorithms known before. The
complexity of the algorithm is bounded by $(\ell s m d)^{O(m(m+k))}$.
| math.AG cs.SC math.AT math.GT | let r be a real closed field mathcal q subset ry_1y_ellx_1x_k with deg_yq leq 2 deg_xq leq d q in mathcal q mathcal qm and mathcal p subset rx_1x_k with deg_xp leq d p in mathcal p mathcal ps and s subset rellk a semialgebraic set defined by a boolean formula without negations with atoms p0 p geq 0 p leq 0 p in mathcal p cup mathcal q we prove that the sum of the betti numbers of s is bounded by ell2 osellmell dk2m this is a common generalization of previous results on bounding the betti numbers of closed semialgebraic sets defined by polynomials of degree d and 2 respectively we also describe an algorithm for computing the eulerpoincare characteristic of such sets generalizing similar algorithms known before the complexity of the algorithm is bounded by ell s m dommk | [['let', 'r', 'be', 'a', 'real', 'closed', 'field', 'mathcal', 'q', 'subset', 'ry_1y_ellx_1x_k', 'with', 'deg_yq', 'leq', '2', 'deg_xq', 'leq', 'd', 'q', 'in', 'mathcal', 'q', 'mathcal', 'qm', 'and', 'mathcal', 'p', 'subset', 'rx_1x_k', 'with', 'deg_xp', 'leq', 'd', 'p', 'in', 'mathcal', 'p', 'mathcal', 'ps', 'and', 's', 'subset', 'rellk', 'a', 'semialgebraic', 'set', 'defined', 'by', 'a', 'boolean', 'formula', 'without', 'negations', 'with', 'atoms', 'p0', 'p', 'geq', '0', 'p', 'leq', '0', 'p', 'in', 'mathcal', 'p', 'cup', 'mathcal', 'q', 'we', 'prove', 'that', 'the', 'sum', 'of', 'the', 'betti', 'numbers', 'of', 's', 'is', 'bounded', 'by', 'ell2', 'osellmell', 'dk2m', 'this', 'is', 'a', 'common', 'generalization', 'of', 'previous', 'results', 'on', 'bounding', 'the', 'betti', 'numbers', 'of', 'closed', 'semialgebraic', 'sets', 'defined', 'by', 'polynomials', 'of', 'degree', 'd', 'and', '2', 'respectively', 'we', 'also', 'describe', 'an', 'algorithm', 'for', 'computing', 'the', 'eulerpoincare', 'characteristic', 'of', 'such', 'sets', 'generalizing', 'similar', 'algorithms', 'known', 'before', 'the', 'complexity', 'of', 'the', 'algorithm', 'is', 'bounded', 'by', 'ell', 's', 'm', 'dommk']] | [-0.23960486638551468, 0.1412926471377218, 0.007225284048164373, -0.016884417795261147, -0.002610029234989163, -0.2125708843471811, 0.03778528733528219, 0.2713263439534999, -0.33373207855380743, -0.23159797141081928, -0.024189323127810733, -0.28573175880592316, -0.054719534534824026, 0.16748417427879758, -0.09094804016229532, 0.029586088460157898, -0.006724814393023467, 0.1467522003684494, -0.060061273522853086, -0.2872164021674133, 0.3064673378466978, -0.14789149465778953, 0.1251757993390236, 0.012807940174003734, 0.040286080205559675, 0.0031294251650037684, 0.04379083893795991, 0.011745894715525484, -0.2604871894910128, 0.0872090094626936, 0.2902291432598277, 0.2186312892813208, 0.2590905119500616, -0.3215715753407601, -0.06700903268339221, 0.26589507163889187, 0.17458523105939522, -0.11759585369659095, 0.08740014108394355, -0.2382524510681191, 0.2132528021465987, -0.11127169705811385, -0.15229649553143912, -0.06317158020101488, 0.2548779893798329, 0.024049204154460525, -0.3790602726478349, -0.010178778267693226, 0.13339670423267627, 0.13722744059240916, -0.0055344178074258656, -0.24872710886548327, -0.06177579450441579, -0.03920019163257059, -0.07510309740866754, 0.169144813745173, 0.032139066267786, -0.03388809999416802, -0.1199186777778189, 0.3303321365143775, -0.04842842415810617, -0.20767012817839928, 0.028422985551194015, -0.23876826725352338, -0.12430071871837273, 0.13035091087359058, 0.08158467564156607, 0.24972056834753054, 0.06599944508600268, 0.31549602366773316, -0.1507331798373557, 0.09555881461197072, 0.12152317029198029, 0.006253355490437517, 0.06970947123516132, 0.07359215302173705, 0.03216943679281565, 0.10445268750139375, -0.0075188029629370086, 0.07953580169294797, -0.41234089694369364, -0.13058277414015987, -0.21208101812140634, 0.18797762435518534, -0.15927500950195228, -0.07997070585021421, 0.2728621608180487, 0.017607980375246638, 0.23573028115617276, 0.14900865564670632, 0.21862558411735603, 0.051507789887396294, -0.006355937320382937, 0.13592520529089278, -0.002751107411527568, 0.1813712868058835, -0.04913520016912919, -0.16389469837389803, 0.0023914082848932594, 0.168410270841859] |
708.3523 | Polarized neutron scattering study on antiferromagnetic states in
CeRh0.6Co0.4In5 | Polarized neutron scattering experiments were performed on mixed compound
CeRh0.6Co0.4In5 to clarify the nature of the low-temperature ordered states.
Three nonequivalent Bragg peaks, characterized by the wave vectors of q_h ~
(1/2,1/2,0.3), q_1 ~ (1/2,1/2,0.4) and q_c=(1/2,1/2,1/2), were observed at 1.4
K. These Bragg peaks are found to occur entirely in spin-flip channel. This
indicates that these Bragg peaks originate from the magnetic scattering, i.e.,
the antiferromagnetic orders with three different modulations appear in this
compound.
| cond-mat.str-el | polarized neutron scattering experiments were performed on mixed compound cerh06co04in5 to clarify the nature of the lowtemperature ordered states three nonequivalent bragg peaks characterized by the wave vectors of q_h 121203 q_1 121204 and q_c121212 were observed at 14 k these bragg peaks are found to occur entirely in spinflip channel this indicates that these bragg peaks originate from the magnetic scattering ie the antiferromagnetic orders with three different modulations appear in this compound | [['polarized', 'neutron', 'scattering', 'experiments', 'were', 'performed', 'on', 'mixed', 'compound', 'cerh06co04in5', 'to', 'clarify', 'the', 'nature', 'of', 'the', 'lowtemperature', 'ordered', 'states', 'three', 'nonequivalent', 'bragg', 'peaks', 'characterized', 'by', 'the', 'wave', 'vectors', 'of', 'q_h', '121203', 'q_1', '121204', 'and', 'q_c121212', 'were', 'observed', 'at', '14', 'k', 'these', 'bragg', 'peaks', 'are', 'found', 'to', 'occur', 'entirely', 'in', 'spinflip', 'channel', 'this', 'indicates', 'that', 'these', 'bragg', 'peaks', 'originate', 'from', 'the', 'magnetic', 'scattering', 'ie', 'the', 'antiferromagnetic', 'orders', 'with', 'three', 'different', 'modulations', 'appear', 'in', 'this', 'compound']] | [-0.21626595742213475, 0.30156533849674844, -0.05783952138399784, 0.062328174205260795, -0.0015708618456314147, -0.10494949416877229, 0.04810912586735483, 0.43086186901364526, -0.2768690031756398, -0.28930947449530514, 0.0015115233918678174, -0.36737492058793425, -0.09208628493295588, 0.12817563466944168, 0.12320744597949874, -0.005638967661685507, -0.03762666418046599, 0.0005368547855128705, -0.08652337006634285, -0.2287541822428671, 0.34204127650353794, -0.04974682685512472, 0.2980027179771536, 0.021302835264859696, 0.022046313899844676, 0.014823208136720136, 0.031963160868183196, -0.04887716415744852, -0.09939269153911598, 0.018519807478222787, 0.3282328379720869, -0.08497377209083348, 0.07554739283424028, -0.43269040299133515, -0.20266398171645025, 0.005200897015526261, 0.14451697697161212, 0.055373103908774715, 0.003465647276320403, -0.3193858983257497, 0.04013178785803767, -0.06582321108541858, -0.10599948874507494, -0.059000919356574894, -0.07419622353684734, 0.010432639670833735, -0.2387347643486631, 0.14139485415268008, 0.077447715248178, 0.0759814544744842, -0.09913661201733728, -0.20767338962202342, -0.048234129790216684, -0.011315928457278602, 0.0719335085505777, 0.014028994517374627, 0.10140874728717854, -0.0011167180803145322, -0.15522508803282825, 0.32487840964917986, -0.005300483889353108, -0.014582818820023201, 0.15177032209253988, -0.26569979185973047, -0.1035356894004303, 0.28075382084598843, 0.10715739432932206, 0.09238538972403802, -0.0996996235810745, -0.0365066970903492, -0.02451345790157088, 0.15136640406095644, 0.19241262739196316, 0.08646403989610328, 0.26723814503827564, 0.09749896546274843, -0.06338292727587928, 0.12172001892779495, -0.19158580790693597, -0.06283834428710103, -0.2420033246580459, -0.04182873769912501, -0.1666811714735879, 0.024806325422873733, -0.011555017765511391, -0.140649659100028, 0.3334765722319274, 0.10352792820407891, 0.2215349429982229, -0.09414537357245113, 0.19784794564188365, 0.11753498440326363, 0.07171977023121862, 0.021127186774630363, 0.2629264798650721, 0.18653818668181102, 0.109030519133355, -0.2549624018744946, 0.05902201464501354, -0.07231856965866516] |
708.3524 | The nanoscale phase separation in hole-doped manganites | A macroscopic phase separation, in which ferromagnetic clusters are observed
in an insulating matrix, is sometimes observed, and believed to be essential to
the colossal magnetoresistive (CMR) properties of manganese oxides. The
application of a magnetic field may indeed trigger large magnetoresistance
effects due to the percolation between clusters allowing the movement of the
charge carriers. However, this macroscopic phase separation is mainly related
to extrinsic defects or impurities, which hinder the long-ranged charge-orbital
order of the system. We show in the present article that rather than the
macroscopic phase separation, an homogeneous short-ranged charge-orbital order
accompanied by a spin glass state occurs, as an intrinsic result of the
uniformity of the random potential perturbation induced by the solid solution
of the cations on the $A$-sites of the structure of these materials. Hence the
phase separation does occur, but in a more subtle and interesting nanoscopic
form, here referred as ``homogeneous''. Remarkably, this ``nanoscale phase
separation'' alone is able to bring forth the colossal magnetoresistance in the
perovskite manganites, and is potentially relevant to a wide variety of other
magnetic and/or electrical properties of manganites, as well as many other
transition metal oxides, in bulk or thin film form as we exemplify throughout
the article.
| cond-mat.mtrl-sci cond-mat.str-el | a macroscopic phase separation in which ferromagnetic clusters are observed in an insulating matrix is sometimes observed and believed to be essential to the colossal magnetoresistive cmr properties of manganese oxides the application of a magnetic field may indeed trigger large magnetoresistance effects due to the percolation between clusters allowing the movement of the charge carriers however this macroscopic phase separation is mainly related to extrinsic defects or impurities which hinder the longranged chargeorbital order of the system we show in the present article that rather than the macroscopic phase separation an homogeneous shortranged chargeorbital order accompanied by a spin glass state occurs as an intrinsic result of the uniformity of the random potential perturbation induced by the solid solution of the cations on the asites of the structure of these materials hence the phase separation does occur but in a more subtle and interesting nanoscopic form here referred as homogeneous remarkably this nanoscale phase separation alone is able to bring forth the colossal magnetoresistance in the perovskite manganites and is potentially relevant to a wide variety of other magnetic andor electrical properties of manganites as well as many other transition metal oxides in bulk or thin film form as we exemplify throughout the article | [['a', 'macroscopic', 'phase', 'separation', 'in', 'which', 'ferromagnetic', 'clusters', 'are', 'observed', 'in', 'an', 'insulating', 'matrix', 'is', 'sometimes', 'observed', 'and', 'believed', 'to', 'be', 'essential', 'to', 'the', 'colossal', 'magnetoresistive', 'cmr', 'properties', 'of', 'manganese', 'oxides', 'the', 'application', 'of', 'a', 'magnetic', 'field', 'may', 'indeed', 'trigger', 'large', 'magnetoresistance', 'effects', 'due', 'to', 'the', 'percolation', 'between', 'clusters', 'allowing', 'the', 'movement', 'of', 'the', 'charge', 'carriers', 'however', 'this', 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708.3525 | Gauge invariance and time symmetry breaking | Employing an arbitrary velocity gauge transformation this contribution argues
that the breaking of time symmetry is a natural consequence of irreversibility.
| physics.gen-ph | employing an arbitrary velocity gauge transformation this contribution argues that the breaking of time symmetry is a natural consequence of irreversibility | [['employing', 'an', 'arbitrary', 'velocity', 'gauge', 'transformation', 'this', 'contribution', 'argues', 'that', 'the', 'breaking', 'of', 'time', 'symmetry', 'is', 'a', 'natural', 'consequence', 'of', 'irreversibility']] | [-0.24265752581968195, 0.24971934965149212, -0.14090583065436, 0.03164103130499522, -0.1278413536603607, -0.055288765025103374, 0.010952282874357133, 0.30069317917029065, -0.30203984926144284, -0.25398945639885606, 9.998776728198642e-05, -0.1626036156501089, -0.13610660229321747, 0.06886546446808747, -0.04281654062547854, -0.00033905676433018276, -0.06181283401591437, 0.005977454284826915, -0.0955717271703872, -0.19152615787017913, 0.31214444232838495, 0.03683768461147944, 0.34252720574537915, 0.07774148644169881, 0.16562069424738488, 0.011339393377836262, -0.009236202087430727, -0.013172836796868415, -0.041886995043785735, 0.04130568475063358, 0.1700855914636382, 0.08695978414089907, 0.21216248100002608, -0.3806278718901532, -0.19921723522600673, 0.08503829918446995, 0.13520099045265288, 0.2251810860775766, -0.11943960489173021, -0.31793997126321, -0.005677461890237672, -0.16192334642012915, -0.22446053176342198, -0.05260558124809038, 0.05749574046404589, -0.13785192042234398, -0.27320710551880656, 0.15688579218026244, 0.12894303165376186, 0.20793231425895578, -0.05128811663460164, 0.04338748278539805, -0.048236697779170105, 0.04214332942363052, 0.1558741801529236, 0.09453529622849255, 0.11707023425315995, -0.0930275233085489, -0.10611144435547647, 0.4802250528619403, -0.07242713110255343, -0.18157812194632633, 0.15212820825122653, -0.03392943274229765, -0.2301444508844898, 0.13439749405231505, 0.09100312145338171, 0.10263493794593073, -0.12307087340880007, 0.12978039987917458, -0.055860904355843864, 0.19581949267359006, 0.0643841562171777, 0.02005592877754853, 0.17888221157980816, 0.1133910760593911, 0.09633428031312567, 0.1440717088324683, -0.00453437842606079, -0.09804429743616354, -0.45299268123649417, -0.20929877566439764, -0.20740708234232097, 0.14004211840663283, -0.11338040671710457, -0.0972695882387814, 0.3603433324024081, 0.15479210817388125, 0.20706466922447794, 0.0650324894647513, 0.253050944745718, 0.20877751339659362, 0.10685707384809143, -0.0076823474262796695, 0.18904276156709307, 0.14179646720488867, 0.0615942542485538, -0.2906759787750031, 0.037913951313211805, 0.09536229925496238] |
708.3526 | 1/N_c corrections to the magnetic susceptibility of the QCD vacuum | We investigate the magnetic susceptibility of the QCD vacuum with the $1/N_c$
corrections taken into account, based on the instanton vacuum. Starting from
the instanton liquid model we derive the gauged light-quark partition function
in the presence of the current quark mass as well as of external Abelian vector
and tensor fields. We consider the $1/N_c$ meson-loop corrections which are
shown to contribute to the magnetic susceptibility by around 15% for the up
(and down) quarks. We also take into account the tensor terms of the
quark-quark interaction from the instanton vacuum as well as the finite-width
effects, both of which are of order $\mathcal{O}(1/N_c)$. The effects of the
tensor terms and finite width turn out to be negligibly small. The final
results for the up-quarks are given as: $\chi< i\psi^\dagger \psi>_0 \simeq
35-40 \mathrm{MeV}$ with the quark condensate $<i\psi^\dagger \psi>_0$. We also
discuss the pion mass dependence of the magnetic susceptibility in order to
give a qualitative guideline for the chiral extrapolation of lattice data.
| hep-ph | we investigate the magnetic susceptibility of the qcd vacuum with the 1n_c corrections taken into account based on the instanton vacuum starting from the instanton liquid model we derive the gauged lightquark partition function in the presence of the current quark mass as well as of external abelian vector and tensor fields we consider the 1n_c mesonloop corrections which are shown to contribute to the magnetic susceptibility by around 15 for the up and down quarks we also take into account the tensor terms of the quarkquark interaction from the instanton vacuum as well as the finitewidth effects both of which are of order mathcalo1n_c the effects of the tensor terms and finite width turn out to be negligibly small the final results for the upquarks are given as chi ipsidagger psi_0 simeq 3540 mathrmmev with the quark condensate ipsidagger psi_0 we also discuss the pion mass dependence of the magnetic susceptibility in order to give a qualitative guideline for the chiral extrapolation of lattice data | [['we', 'investigate', 'the', 'magnetic', 'susceptibility', 'of', 'the', 'qcd', 'vacuum', 'with', 'the', '1n_c', 'corrections', 'taken', 'into', 'account', 'based', 'on', 'the', 'instanton', 'vacuum', 'starting', 'from', 'the', 'instanton', 'liquid', 'model', 'we', 'derive', 'the', 'gauged', 'lightquark', 'partition', 'function', 'in', 'the', 'presence', 'of', 'the', 'current', 'quark', 'mass', 'as', 'well', 'as', 'of', 'external', 'abelian', 'vector', 'and', 'tensor', 'fields', 'we', 'consider', 'the', '1n_c', 'mesonloop', 'corrections', 'which', 'are', 'shown', 'to', 'contribute', 'to', 'the', 'magnetic', 'susceptibility', 'by', 'around', '15', 'for', 'the', 'up', 'and', 'down', 'quarks', 'we', 'also', 'take', 'into', 'account', 'the', 'tensor', 'terms', 'of', 'the', 'quarkquark', 'interaction', 'from', 'the', 'instanton', 'vacuum', 'as', 'well', 'as', 'the', 'finitewidth', 'effects', 'both', 'of', 'which', 'are', 'of', 'order', 'mathcalo1n_c', 'the', 'effects', 'of', 'the', 'tensor', 'terms', 'and', 'finite', 'width', 'turn', 'out', 'to', 'be', 'negligibly', 'small', 'the', 'final', 'results', 'for', 'the', 'upquarks', 'are', 'given', 'as', 'chi', 'ipsidagger', 'psi_0', 'simeq', '3540', 'mathrmmev', 'with', 'the', 'quark', 'condensate', 'ipsidagger', 'psi_0', 'we', 'also', 'discuss', 'the', 'pion', 'mass', 'dependence', 'of', 'the', 'magnetic', 'susceptibility', 'in', 'order', 'to', 'give', 'a', 'qualitative', 'guideline', 'for', 'the', 'chiral', 'extrapolation', 'of', 'lattice', 'data']] | [-0.09573609232716834, 0.22450883345295636, -0.06511618731760539, 0.09315456998494505, -0.05263251463876911, -0.047155585799914745, 0.04445090974778211, 0.3054128466059734, -0.18695493203450703, -0.27555265699290427, 0.04610292205695588, -0.28939404739124097, -0.0490452003625273, 0.09734009089165487, 0.07492820646019618, 0.040608472267931406, -0.01634568286962533, 0.06425886959454581, -0.09100805514454956, -0.23148987286415615, 0.3562491274311313, -0.005598823071394595, 0.23171180639233144, 0.17333329655801408, 0.07137386352352318, 0.0018555205229646955, -0.004284948601953091, 0.00401330627843829, -0.11328404306782627, 0.007877579148847359, 0.1711628297511688, -0.01594538329329136, 0.1464890478738795, -0.41619562739334953, -0.16726424041678387, 0.08336760991601491, 0.14395054591893922, 0.14342655582164923, 0.015307679928787784, -0.3165601112656981, 0.08732761789836058, -0.21039416646710568, -0.15073204840650564, -0.1641121591724158, -0.01987934680055667, -0.020122445148645838, -0.3157110961691185, 0.09905858706087274, 0.0014521810019023122, -0.004669251130391026, -0.0865345632948804, -0.2140456967832852, -0.0698521387723326, 0.12681003967357193, 0.15546379391921034, 0.09683333375874015, 0.14095855240875776, -0.19836371977230752, -0.07986597688240142, 0.44398010209591293, -0.10504808166832806, -0.17917955935892702, 0.057200355760958846, -0.17926495328282743, -0.06867484210996083, 0.10529619163942118, 0.18241526640700234, 0.0859031423603533, -0.12058908487184465, 0.10770318315377277, -0.013200229475206118, 0.13663402970728858, 0.056293356253771236, 0.06244728017592677, 0.24570508286974, 0.11641193318974935, -0.03119195215946829, 0.1735539315846903, -0.07833624696159061, -0.09629222416701766, -0.39637314567079573, -0.11238366451422953, -0.11551040896654495, 0.08166227136321504, -0.14048080293983406, -0.18171971179369945, 0.3989710015404764, 0.14803200717615478, 0.23522705540162414, 0.033771582603443165, 0.28960044486048214, 0.13478667402362873, 0.1087830910149196, 0.03915084003430842, 0.27532176936810915, 0.2056665465584242, 0.10744826518787653, -0.2949769733890754, -0.05714086151219036, 0.09224383765545908] |
708.3527 | Science-Based Comparative Culture: A New Theme of Experiment for
Freshmen in Tohoku University | In 2004, Tohoku University created a new introductory science experimental
course for freshmen. The course is a compulsory subject for students in all
natural science fields. The course is not designed for a professional
education, but as a liberal education, in which students are trained to become
familiar with nature and to discover natural laws for themselves. We present
here one of 12 themes - "science and culture: vibration of string instrument
and music", in which we expect students to study two aspects: 1) the
universality of natural laws and 2) the variety of value judgments from the
evidence.
| physics.ed-ph physics.pop-ph physics.soc-ph | in 2004 tohoku university created a new introductory science experimental course for freshmen the course is a compulsory subject for students in all natural science fields the course is not designed for a professional education but as a liberal education in which students are trained to become familiar with nature and to discover natural laws for themselves we present here one of 12 themes science and culture vibration of string instrument and music in which we expect students to study two aspects 1 the universality of natural laws and 2 the variety of value judgments from the evidence | [['in', '2004', 'tohoku', 'university', 'created', 'a', 'new', 'introductory', 'science', 'experimental', 'course', 'for', 'freshmen', 'the', 'course', 'is', 'a', 'compulsory', 'subject', 'for', 'students', 'in', 'all', 'natural', 'science', 'fields', 'the', 'course', 'is', 'not', 'designed', 'for', 'a', 'professional', 'education', 'but', 'as', 'a', 'liberal', 'education', 'in', 'which', 'students', 'are', 'trained', 'to', 'become', 'familiar', 'with', 'nature', 'and', 'to', 'discover', 'natural', 'laws', 'for', 'themselves', 'we', 'present', 'here', 'one', 'of', '12', 'themes', 'science', 'and', 'culture', 'vibration', 'of', 'string', 'instrument', 'and', 'music', 'in', 'which', 'we', 'expect', 'students', 'to', 'study', 'two', 'aspects', '1', 'the', 'universality', 'of', 'natural', 'laws', 'and', '2', 'the', 'variety', 'of', 'value', 'judgments', 'from', 'the', 'evidence']] | [-0.006208618024212061, 0.1455352021742384, -0.12195957596627616, 0.1027230207804752, -0.16764743422272102, -0.1434094232640096, 0.021499174007936855, 0.3291283925158941, -0.22252891396115326, -0.39652011710770274, 0.09032199238141884, -0.2678738370993916, -0.1625939291730827, 0.22728644605079779, -0.10728925291201746, -0.004088659599727514, 0.06484494373506429, 0.043106949945189516, 0.011139103563084287, -0.3107255507944798, 0.2931257597912027, 0.05600955658022086, 0.29872391970200957, 0.017979824699328413, 0.0834843692707126, -0.01075410421320584, -0.04542158701818208, -0.013933932380180578, -0.11137399472009951, 0.13610944503500144, 0.4085778433981599, 0.21186944355770032, 0.3932510648987123, -0.40502722527147555, -0.13291080482304096, 0.034955767068859875, 0.04078534402651712, 0.08495772465094163, -0.054393341584245164, -0.2955672103027832, 0.02986839216449583, -0.1609122837033617, -0.09690785154282135, -0.039950761711224914, 0.05456407551121499, -0.004537826263801936, -0.2122483548508691, 0.012051324678432881, 0.0667604904643222, 0.21288609538911557, -0.045997708477555035, -0.16477030662259048, 0.036459986358044705, 0.20286874733722712, 0.0575810248276922, 0.025352456656816815, 0.11118717839447212, -0.21755823387042145, -0.1597809374560507, 0.4435014883246349, 0.008663836591021747, -0.10398147316478497, 0.2257138682251359, -0.16290828555214162, -0.17943818680942059, 0.031215625900623142, 0.22835966788840537, 0.05909958359196174, -0.16419159419530507, 0.0334869883645668, 0.012692692993702938, 0.18693752436689576, 0.05792145991260756, -0.03630556987672189, 0.23930192342127807, 0.14055068577088567, -0.006901170112244899, 0.07668692000419358, -0.007391059003232525, -0.10972153747511305, -0.3093417509725051, -0.20290067468826867, -0.12421468890637957, 0.05109586110068319, 0.03983919446092878, -0.11623229400720447, 0.40907646006220305, 0.14542170692881456, 0.06859204511405254, 0.011365584242727836, 0.19918722693561292, 0.018941405261344066, 0.0612773362509146, 0.0566779500234644, 0.20612803879859193, 0.04818519502307991, 0.21907801160170715, -0.07657992232315318, 0.026543929146564737, -0.0067430162856982525] |
708.3528 | Determination of Penetration Depth of Transverse Spin Current in
Ferromagnetic Metals by Spin Pumping | Spin pumping in nonmagnetic/ferromagnetic metal multilayers is studied both
theoretically and experimentally. We show that the line widths of the
ferromagnetic resonance (FMR) spectrum depend on the thickness of the
ferromagnetic metal layers, which must not be in resonance with the oscillating
magnetic field. We also show that the penetration depths of the transverse spin
current in ferromagnetic metals can be determined by analyzing the line widths
of their FMR spectra. The obtained penetration depths in NiFe, CoFe and CoFeB
were 3.7 [nm], 2.5 [nm] and 12.0 [nm], respectively.
| cond-mat.mes-hall cond-mat.other | spin pumping in nonmagneticferromagnetic metal multilayers is studied both theoretically and experimentally we show that the line widths of the ferromagnetic resonance fmr spectrum depend on the thickness of the ferromagnetic metal layers which must not be in resonance with the oscillating magnetic field we also show that the penetration depths of the transverse spin current in ferromagnetic metals can be determined by analyzing the line widths of their fmr spectra the obtained penetration depths in nife cofe and cofeb were 37 nm 25 nm and 120 nm respectively | [['spin', 'pumping', 'in', 'nonmagneticferromagnetic', 'metal', 'multilayers', 'is', 'studied', 'both', 'theoretically', 'and', 'experimentally', 'we', 'show', 'that', 'the', 'line', 'widths', 'of', 'the', 'ferromagnetic', 'resonance', 'fmr', 'spectrum', 'depend', 'on', 'the', 'thickness', 'of', 'the', 'ferromagnetic', 'metal', 'layers', 'which', 'must', 'not', 'be', 'in', 'resonance', 'with', 'the', 'oscillating', 'magnetic', 'field', 'we', 'also', 'show', 'that', 'the', 'penetration', 'depths', 'of', 'the', 'transverse', 'spin', 'current', 'in', 'ferromagnetic', 'metals', 'can', 'be', 'determined', 'by', 'analyzing', 'the', 'line', 'widths', 'of', 'their', 'fmr', 'spectra', 'the', 'obtained', 'penetration', 'depths', 'in', 'nife', 'cofe', 'and', 'cofeb', 'were', '37', 'nm', '25', 'nm', 'and', '120', 'nm', 'respectively']] | [-0.12234660823243472, 0.23234422690643186, 0.04749581997356053, -0.005374256933495151, -0.007626671145220151, -0.12913515402025053, 0.018912265532430302, 0.5207781349465753, -0.23359722560376264, -0.32575302797087125, 0.0025226786952423914, -0.295804445453909, -0.012713791823454118, 0.22814685196270434, 0.09422415413297294, -0.009916099189294062, -0.032689534373623264, -0.0870775695670438, -0.05775803725726986, -0.17770136650023835, 0.26614768562440794, -0.06083290431167135, 0.3259112954223424, 0.12672041630728192, -0.0278400164463798, -0.03495033354801911, 0.13655384583921915, 0.04052021989619799, -0.18829529257991556, 0.043238921509532444, 0.21110484659085782, -0.11050245714677351, 0.13070389795839116, -0.42028598564812975, -0.15323959495035117, -0.022340833580937615, 0.18168482810175152, 0.10748920490667015, 0.009044295902824386, -0.2891654376871884, 0.11267546830133776, -0.07705547441460266, -0.07575723376606455, -0.0032106415169794907, 0.0022946621639277328, 0.032221897683116826, -0.2522375547703816, 0.05589492979761621, 0.10983915453295359, 0.19626233371738555, -0.10207416185732471, -0.1762470811804275, -0.14014243266513843, 0.03350980643685279, 0.028678836026281285, -0.0019337084991962053, 0.22723554450955785, -0.1010010062423901, -0.08342910978911716, 0.2719359915138463, -0.12708128754865755, -0.07247710377180666, 0.08971677124081703, -0.26403874165922653, 0.03344044870477211, 0.18220707963566096, 0.10844157868473048, 0.11443684857045666, -0.14023550918974567, 0.05142641769855524, -0.011021979932746525, 0.24157363668167858, 0.11253619963156708, 0.04360183638656575, 0.2668290058977567, 0.17182965019948027, -0.05614558242005034, 0.11846585355939741, -0.23728478738378858, 0.003995611730000276, -0.15171191015730748, -0.15568832364561183, -0.17497165202885195, 0.07116857431897648, -0.08360795310931934, -0.14553705842516731, 0.40863569549630196, 0.18460644152685163, 0.22414069007454293, -0.023826720453327878, 0.2732216953980119, 0.14684724808785687, 0.11609607957188417, -0.0007418275135830882, 0.35721640937616317, 0.25668791254061496, 0.17189480743653487, -0.29019411796117933, 0.08553485224400176, -0.06279614975864298] |
708.3529 | Tuning Co valence state in cobalt oxyhydrate superconductor by post
reduction | We report a successful tuning of Co valence state in cobalt oxyhydrate
superconductor via a facile post reduction using NaOH as reducing agent. The
change in Co valence was precisely determined by measuring the volume of the
released oxygen. The possible hydronium-incorporation was greatly suppressed in
concentrated NaOH solution, making the absolute Co valence determinable. As a
result, an updated superconducting phase diagram was obtained, which shows that
the superconducting transition temperature increases monotonically with
increasing Co valence in a narrow range from +3.58 to +3.65.
| cond-mat.supr-con cond-mat.str-el | we report a successful tuning of co valence state in cobalt oxyhydrate superconductor via a facile post reduction using naoh as reducing agent the change in co valence was precisely determined by measuring the volume of the released oxygen the possible hydroniumincorporation was greatly suppressed in concentrated naoh solution making the absolute co valence determinable as a result an updated superconducting phase diagram was obtained which shows that the superconducting transition temperature increases monotonically with increasing co valence in a narrow range from 358 to 365 | [['we', 'report', 'a', 'successful', 'tuning', 'of', 'co', 'valence', 'state', 'in', 'cobalt', 'oxyhydrate', 'superconductor', 'via', 'a', 'facile', 'post', 'reduction', 'using', 'naoh', 'as', 'reducing', 'agent', 'the', 'change', 'in', 'co', 'valence', 'was', 'precisely', 'determined', 'by', 'measuring', 'the', 'volume', 'of', 'the', 'released', 'oxygen', 'the', 'possible', 'hydroniumincorporation', 'was', 'greatly', 'suppressed', 'in', 'concentrated', 'naoh', 'solution', 'making', 'the', 'absolute', 'co', 'valence', 'determinable', 'as', 'a', 'result', 'an', 'updated', 'superconducting', 'phase', 'diagram', 'was', 'obtained', 'which', 'shows', 'that', 'the', 'superconducting', 'transition', 'temperature', 'increases', 'monotonically', 'with', 'increasing', 'co', 'valence', 'in', 'a', 'narrow', 'range', 'from', '358', 'to', '365']] | [-0.07784736232410762, 0.2370307454397594, 0.020733763692468137, -0.008637993654701859, -0.012128958456395637, -0.13380429847165942, 0.21963989388729846, 0.4020442891300523, -0.21228275653820242, -0.3552605199095394, 0.011058062071069366, -0.33627297488107744, -0.03142299479804933, 0.12392076013964556, 0.014501545445195265, -0.009784336334892682, 0.014598964067685995, -0.04281035823459249, -0.16814718397481124, -0.22017060770165353, 0.2530206242448739, 0.07126378166001468, 0.30899131138409885, 0.1168325071533521, 0.018313984114987154, -0.020285343907917627, 0.04252659136961613, 0.02390862185330618, -0.14369965766300516, 0.03556666381302334, 0.2496746621133449, -0.002397876609826372, 0.209171818214513, -0.37251342416164424, -0.1960110208463101, 0.013438381623321524, 0.147008970546137, 0.09788267991444584, -0.06154004599998838, -0.26923989777320195, 0.04401608837568866, -0.17624913072878762, -0.17066072889914116, -0.030276110126925188, 0.016676333599856923, -0.04100795414914111, -0.24429380839380124, 0.06690954241812938, 0.03417999123589003, 0.10971148318744131, -0.10176151227538607, -0.1873204935829909, -0.15693327321094416, 0.05129756255164033, -0.005204792067940746, 0.13376691263346446, 0.21372746626314307, -0.05484354144605926, -0.018238843806708854, 0.31566656285542105, -0.13115872389503888, -0.015840739118132097, 0.13907780152900764, -0.14017289024888582, -0.07776709112866749, 0.241642364239808, 0.053775010137109176, 0.12164312946454932, -0.12364574022857207, 0.02226066394221215, 0.02749894788333525, 0.26671322437358047, 0.0934904892263668, 0.0008438547485552373, 0.21116723685658403, 0.22637767900180603, 0.0484202887108993, 0.19270037867924353, -0.14449942929093681, -0.0435719662075696, -0.1647335239686072, -0.19221055954473004, -0.21578857268572652, 0.04761263040737027, -0.07371559685894422, -0.1559961815253787, 0.33087198920769706, 0.07167009290562765, 0.21818374492050635, -0.08400975770754962, 0.23287953436929024, 0.12057719465311882, 0.08312345732424763, 0.00717985328464281, 0.29264477431951536, 0.11503965665386724, 0.18153994785444366, -0.2887481512041718, 0.14633786768120313, 0.027068539943900845] |
708.353 | Gravity localization on thick branes: a numerical approach | We introduce a numerical procedure to investigate the spectrum of massive
modes and its contribution for gravity localization on thick branes. After
considering a model with an analytically known Schroedinger potential, we
present the method and discuss its applicability. With this procedure we can
study several models even when the Schroedinger potential is not known
analytically. We discuss both the occurrence of localization of gravity and the
correction to the Newtonian potential given by the massive modes.
| hep-th | we introduce a numerical procedure to investigate the spectrum of massive modes and its contribution for gravity localization on thick branes after considering a model with an analytically known schroedinger potential we present the method and discuss its applicability with this procedure we can study several models even when the schroedinger potential is not known analytically we discuss both the occurrence of localization of gravity and the correction to the newtonian potential given by the massive modes | [['we', 'introduce', 'a', 'numerical', 'procedure', 'to', 'investigate', 'the', 'spectrum', 'of', 'massive', 'modes', 'and', 'its', 'contribution', 'for', 'gravity', 'localization', 'on', 'thick', 'branes', 'after', 'considering', 'a', 'model', 'with', 'an', 'analytically', 'known', 'schroedinger', 'potential', 'we', 'present', 'the', 'method', 'and', 'discuss', 'its', 'applicability', 'with', 'this', 'procedure', 'we', 'can', 'study', 'several', 'models', 'even', 'when', 'the', 'schroedinger', 'potential', 'is', 'not', 'known', 'analytically', 'we', 'discuss', 'both', 'the', 'occurrence', 'of', 'localization', 'of', 'gravity', 'and', 'the', 'correction', 'to', 'the', 'newtonian', 'potential', 'given', 'by', 'the', 'massive', 'modes']] | [-0.12311557965812744, 0.056974356989686184, -0.0656891649032568, 0.08215052542554868, -0.02605229236379072, -0.13592643320995879, 0.027734347634235178, 0.354719037843215, -0.2255416801320268, -0.28052261365311487, 0.11107985872485034, -0.25040211113375405, -0.20877450080467508, 0.16662411149530731, -0.04630853213950411, 0.03743201315058274, 0.0381719328027654, 0.0507155512232793, -0.06541378278732783, -0.22523308684142282, 0.35437269998690135, 0.0761610243451334, 0.21273158815411197, 0.08170007097885593, 0.055541158508654535, -0.0017552901506907755, -0.006439325871405664, 0.018353281046759772, -0.1457513790432509, 0.08531072112888873, 0.12845610214198688, 0.10399115336575097, 0.25585807939725264, -0.4157521343947231, -0.26104327795615834, 0.0941572340670973, 0.16908148175419926, 0.20007459889166057, -0.06958810050893188, -0.3087716057848234, 0.08697558846324682, -0.19630714711527547, -0.19926042976644034, -0.11005526074274842, 0.011147549895980916, -0.0392844185517351, -0.2230915822793258, 0.0980632555392849, 0.024012345947663893, -0.03042178602236045, -0.10173399706201797, -0.05606543930102285, 0.0009976802635696027, 0.09578847471970835, 0.08997743253703093, -0.030486458099096433, 0.08200215601495334, -0.16139530235381386, -0.10370810599030032, 0.418262093388415, -0.08256120345398009, -0.23111954817620964, 0.22386955148117108, -0.1567092584990352, -0.07419716933282552, 0.047906390983950005, 0.16351086417721075, 0.16141991608159303, -0.14317218603527737, 0.12248652354381713, 0.03640930647296565, 0.11915552477025754, 0.01934538601425948, 0.018881349993700332, 0.23524802639874837, 0.17164879549572898, 0.0026495245575614565, 0.18482653741035368, -0.13275319243200703, -0.06228245351487746, -0.3397701477099742, -0.11519443819468672, -0.14410403161612037, 0.018319149123838883, -0.09053264218386317, -0.16993582905451585, 0.4304618827708356, 0.19212886661460454, 0.1566325201253806, 0.09811597061041114, 0.301851611463474, 0.16994383224730633, 0.048114650181264845, 0.06344265568481347, 0.27695657689027586, 0.14327334845136222, 0.06474279031738059, -0.27754538030327336, -0.06653761995847446, 0.07011990612009902] |
708.3531 | Networked Multiple Description Estimation and Compression with Resource
Scalability | We present a joint source-channel multiple description (JSC-MD) framework for
resource-constrained network communications (e.g., sensor networks), in which
one or many deprived encoders communicate a Markov source against bit errors
and erasure errors to many heterogeneous decoders, some powerful and some
deprived. To keep the encoder complexity at minimum, the source is coded into K
descriptions by a simple multiple description quantizer (MDQ) with neither
entropy nor channel coding. The code diversity of MDQ and the path diversity of
the network are exploited by decoders to correct transmission errors and
improve coding efficiency. A key design objective is resource scalability:
powerful nodes in the network can perform JSC-MD distributed
estimation/decoding under the criteria of maximum a posteriori probability
(MAP) or minimum mean-square error (MMSE), while primitive nodes resort to
simpler MD decoding, all working with the same MDQ code. The application of
JSC-MD to distributed estimation of hidden Markov models in a sensor network is
demonstrated. The proposed JSC-MD MAP estimator is an algorithm of the longest
path in a weighted directed acyclic graph, while the JSC-MD MMSE decoder is an
extension of the well-known forward-backward algorithm to multiple
descriptions. Both algorithms simultaneously exploit the source memory, the
redundancy of the fixed-rate MDQ, and the inter-description correlations. They
outperform the existing hard-decision MDQ decoders by large margins (up to
8dB). For Gaussian Markov sources, the complexity of JSC-MD distributed MAP
sequence estimation can be made as low as that of typical single description
Viterbi-type algorithms.
| cs.IT math.IT | we present a joint sourcechannel multiple description jscmd framework for resourceconstrained network communications eg sensor networks in which one or many deprived encoders communicate a markov source against bit errors and erasure errors to many heterogeneous decoders some powerful and some deprived to keep the encoder complexity at minimum the source is coded into k descriptions by a simple multiple description quantizer mdq with neither entropy nor channel coding the code diversity of mdq and the path diversity of the network are exploited by decoders to correct transmission errors and improve coding efficiency a key design objective is resource scalability powerful nodes in the network can perform jscmd distributed estimationdecoding under the criteria of maximum a posteriori probability map or minimum meansquare error mmse while primitive nodes resort to simpler md decoding all working with the same mdq code the application of jscmd to distributed estimation of hidden markov models in a sensor network is demonstrated the proposed jscmd map estimator is an algorithm of the longest path in a weighted directed acyclic graph while the jscmd mmse decoder is an extension of the wellknown forwardbackward algorithm to multiple descriptions both algorithms simultaneously exploit the source memory the redundancy of the fixedrate mdq and the interdescription correlations they outperform the existing harddecision mdq decoders by large margins up to 8db for gaussian markov sources the complexity of jscmd distributed map sequence estimation can be made as low as that of typical single description viterbitype algorithms | [['we', 'present', 'a', 'joint', 'sourcechannel', 'multiple', 'description', 'jscmd', 'framework', 'for', 'resourceconstrained', 'network', 'communications', 'eg', 'sensor', 'networks', 'in', 'which', 'one', 'or', 'many', 'deprived', 'encoders', 'communicate', 'a', 'markov', 'source', 'against', 'bit', 'errors', 'and', 'erasure', 'errors', 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'description', 'viterbitype', 'algorithms']] | [-0.17743344975965014, 0.013377396247197334, -0.04941100018853973, 0.07555557815348461, -0.05523970418172762, -0.27545675279097365, 0.09277019108820002, 0.42686120640494146, -0.3248570362477728, -0.28230356490584435, 0.110050856754751, -0.2241155469949154, -0.13875153953010225, 0.13806172357028956, -0.1519165910165297, 0.13357318258114206, 0.08186849684803267, 0.07166321086793095, -0.054608768068250164, -0.2728291972385338, 0.2173990105463713, 0.1416175752291801, 0.32175527734168397, -0.04208382348546283, 0.1308831627990422, 0.023302640854055253, -0.019762871302127717, -0.02334896653867614, -0.07066966329214144, 0.09843499399529992, 0.31729427755038353, 0.214431601944437, 0.2815927346567566, -0.3822458231584035, -0.2629077735054211, 0.1101634175662304, 0.1562177424168539, 0.11588609852078811, 0.012318687443046566, -0.2696998421133423, 0.131104476508443, -0.19033743320809057, 0.0432014648386741, -0.01624557626542181, -0.07833548287818891, 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708.3532 | Three-dimensional multi-mesh material point method for solving collision
problems | Contact algorithm between different bodies plays an important role in solving
collision problems. Usually it is not easy to be treated very well. Several
ones for material point method were proposed by Bardenhangen, Brackbill, and
Sulsky\cite{Bardenhagen2000,Bardenhagen2001}, Hu and Chen\cite{Hu_Chen2003}.
An improved one for three-dimensional material point method is presented in
this paper. The improved algorithm emphasizes the energy conservation of the
system and faithfully recovers opposite acting forces between contacting
bodies. Contrasted to the one by Bardenhagen, both the normal and tangential
contacting forces are more appropriately applied to the contacting bodies via
the contacting nodes of the background mesh; Contrasted to the one by Hu and
Chen, not only the tangential velocities but also the normal ones are handled
separately in respective individual mesh. This treatment ensures not only the
contact/sliding/separation procedure but also the friction between contacting
bodies are recovered. The presented contact algorithm is validated via
numerical experiments including rolling simulation, impact of elastic spheres,
impact of a Taylor bar and impact of plastic spheres. The numerical results
show that the multi-mesh material point method with the improved contact
algorithm is more suitable for solving collision problems.
| physics.comp-ph cond-mat.mtrl-sci physics.class-ph | contact algorithm between different bodies plays an important role in solving collision problems usually it is not easy to be treated very well several ones for material point method were proposed by bardenhangen brackbill and sulskycitebardenhagen2000bardenhagen2001 hu and chencitehu_chen2003 an improved one for threedimensional material point method is presented in this paper the improved algorithm emphasizes the energy conservation of the system and faithfully recovers opposite acting forces between contacting bodies contrasted to the one by bardenhagen both the normal and tangential contacting forces are more appropriately applied to the contacting bodies via the contacting nodes of the background mesh contrasted to the one by hu and chen not only the tangential velocities but also the normal ones are handled separately in respective individual mesh this treatment ensures not only the contactslidingseparation procedure but also the friction between contacting bodies are recovered the presented contact algorithm is validated via numerical experiments including rolling simulation impact of elastic spheres impact of a taylor bar and impact of plastic spheres the numerical results show that the multimesh material point method with the improved contact algorithm is more suitable for solving collision problems | [['contact', 'algorithm', 'between', 'different', 'bodies', 'plays', 'an', 'important', 'role', 'in', 'solving', 'collision', 'problems', 'usually', 'it', 'is', 'not', 'easy', 'to', 'be', 'treated', 'very', 'well', 'several', 'ones', 'for', 'material', 'point', 'method', 'were', 'proposed', 'by', 'bardenhangen', 'brackbill', 'and', 'sulskycitebardenhagen2000bardenhagen2001', 'hu', 'and', 'chencitehu_chen2003', 'an', 'improved', 'one', 'for', 'threedimensional', 'material', 'point', 'method', 'is', 'presented', 'in', 'this', 'paper', 'the', 'improved', 'algorithm', 'emphasizes', 'the', 'energy', 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708.3533 | Stability and convergence of the Method of Fundamental Solutions for
Helmholtz problems on analytic domains | The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace
and Helmholtz boundary value problems. Its main drawback is that it often leads
to ill-conditioned systems of equations. In this paper we investigate for the
interior Helmholtz problem on analytic domains how the singularities (charge
points) of the MFS basis functions have to be chosen such that approximate
solutions can be represented by the MFS basis in a numerically stable way. For
Helmholtz problems on the unit disc we give a full analysis which includes the
high frequency (short wavelength) limit. For more difficult and nonconvex
domains such as crescents we demonstrate how the right choice of charge points
is connected to how far into the complex plane the solution of the boundary
value problem can be analytically continued, which in turn depends on both
domain shape and boundary data. Using this we develop a recipe for locating
charge points which allows us to reach error norms of typically 10^{-11} on a
wide variety of analytic domains. At high frequencies of order only 3 points
per wavelength are needed, which compares very favorably to boundary integral
methods.
| math.NA | the method of fundamental solutions mfs is a popular tool to solve laplace and helmholtz boundary value problems its main drawback is that it often leads to illconditioned systems of equations in this paper we investigate for the interior helmholtz problem on analytic domains how the singularities charge points of the mfs basis functions have to be chosen such that approximate solutions can be represented by the mfs basis in a numerically stable way for helmholtz problems on the unit disc we give a full analysis which includes the high frequency short wavelength limit for more difficult and nonconvex domains such as crescents we demonstrate how the right choice of charge points is connected to how far into the complex plane the solution of the boundary value problem can be analytically continued which in turn depends on both domain shape and boundary data using this we develop a recipe for locating charge points which allows us to reach error norms of typically 1011 on a wide variety of analytic domains at high frequencies of order only 3 points per wavelength are needed which compares very favorably to boundary integral methods | [['the', 'method', 'of', 'fundamental', 'solutions', 'mfs', 'is', 'a', 'popular', 'tool', 'to', 'solve', 'laplace', 'and', 'helmholtz', 'boundary', 'value', 'problems', 'its', 'main', 'drawback', 'is', 'that', 'it', 'often', 'leads', 'to', 'illconditioned', 'systems', 'of', 'equations', 'in', 'this', 'paper', 'we', 'investigate', 'for', 'the', 'interior', 'helmholtz', 'problem', 'on', 'analytic', 'domains', 'how', 'the', 'singularities', 'charge', 'points', 'of', 'the', 'mfs', 'basis', 'functions', 'have', 'to', 'be', 'chosen', 'such', 'that', 'approximate', 'solutions', 'can', 'be', 'represented', 'by', 'the', 'mfs', 'basis', 'in', 'a', 'numerically', 'stable', 'way', 'for', 'helmholtz', 'problems', 'on', 'the', 'unit', 'disc', 'we', 'give', 'a', 'full', 'analysis', 'which', 'includes', 'the', 'high', 'frequency', 'short', 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708.3534 | Momentum-resolved charge excitations in high-Tc cuprates studied by
resonant inelastic x-ray scattering | We report a Cu K-edge resonant inelastic x-ray scattering (RIXS) study of
high-Tc cuprates. Momentum-resolved charge excitations in the CuO2 plane are
examined from parent Mott insulators to carrier-doped superconductors. The Mott
gap excitation in undoped insulators is found to commonly show a larger
dispersion along the [pi,pi] direction than the [pi,0] direction. On the other
hand, the resonance condition displays material dependence. Upon hole doping,
the dispersion of the Mott gap excitation becomes weaker and an intraband
excitation appears as a continuum intensity below the gap at the same time. In
the case of electron doping, the Mott gap excitation is prominent at the zone
center and a dispersive intraband excitation is observed at finite momentum
transfer.
| cond-mat.str-el cond-mat.supr-con | we report a cu kedge resonant inelastic xray scattering rixs study of hightc cuprates momentumresolved charge excitations in the cuo2 plane are examined from parent mott insulators to carrierdoped superconductors the mott gap excitation in undoped insulators is found to commonly show a larger dispersion along the pipi direction than the pi0 direction on the other hand the resonance condition displays material dependence upon hole doping the dispersion of the mott gap excitation becomes weaker and an intraband excitation appears as a continuum intensity below the gap at the same time in the case of electron doping the mott gap excitation is prominent at the zone center and a dispersive intraband excitation is observed at finite momentum transfer | [['we', 'report', 'a', 'cu', 'kedge', 'resonant', 'inelastic', 'xray', 'scattering', 'rixs', 'study', 'of', 'hightc', 'cuprates', 'momentumresolved', 'charge', 'excitations', 'in', 'the', 'cuo2', 'plane', 'are', 'examined', 'from', 'parent', 'mott', 'insulators', 'to', 'carrierdoped', 'superconductors', 'the', 'mott', 'gap', 'excitation', 'in', 'undoped', 'insulators', 'is', 'found', 'to', 'commonly', 'show', 'a', 'larger', 'dispersion', 'along', 'the', 'pipi', 'direction', 'than', 'the', 'pi0', 'direction', 'on', 'the', 'other', 'hand', 'the', 'resonance', 'condition', 'displays', 'material', 'dependence', 'upon', 'hole', 'doping', 'the', 'dispersion', 'of', 'the', 'mott', 'gap', 'excitation', 'becomes', 'weaker', 'and', 'an', 'intraband', 'excitation', 'appears', 'as', 'a', 'continuum', 'intensity', 'below', 'the', 'gap', 'at', 'the', 'same', 'time', 'in', 'the', 'case', 'of', 'electron', 'doping', 'the', 'mott', 'gap', 'excitation', 'is', 'prominent', 'at', 'the', 'zone', 'center', 'and', 'a', 'dispersive', 'intraband', 'excitation', 'is', 'observed', 'at', 'finite', 'momentum', 'transfer']] | [-0.18987122619074723, 0.22221521756296556, -0.02297017501935489, 0.11033585963482669, -0.061003753228776034, -0.15252977290774805, 0.11285283639079939, 0.4330951652915801, -0.25557961280978586, -0.20992464077327463, -0.08438360565874757, -0.4299135416177875, -0.036412337573908146, 0.1330780653535562, 0.10277939509695112, -0.004445391477251394, -0.06967144930869404, -0.05063188825812885, -0.1489940988357668, -0.12219988474211955, 0.3250237338213345, 0.03173823892119167, 0.33906231421219596, 0.14586357960933266, -0.05688927456799705, 0.06856293952234595, 0.17921929091799182, -0.06841696161082235, -0.1529809457873452, 0.012320964794479689, 0.345582563893759, -0.1889263584586334, 0.1724295849651414, -0.38135345140472054, -0.22700544709134532, -0.09181893742011892, 0.20402360032312572, 0.15315030602801402, -0.06105842855384068, -0.26002511930340205, -0.025944479733263536, -0.1372903497905423, -0.12399767910947203, -0.012779982523401703, -0.005473372455927054, -0.0648666019650113, -0.21588406746741384, 0.12415536075546327, 0.06443021891607066, 0.10340185432351526, -0.16021429543714907, -0.15014210397030336, -0.13391733619037194, -0.025472503810552723, 0.08542360241674835, 0.0808849473645658, 0.18155757522691926, -0.08840357334850261, -0.08677398226365952, 0.36087442837927836, -0.01371945141308045, -0.003043929241218809, 0.16183524645107278, -0.27948122192963454, -0.03094835595673708, 0.24547482393405765, 0.05832259345383352, 0.1007069645279829, -0.0961754907246174, 0.08124535582797854, -0.05767368252183926, 0.24405414526650715, 0.07048924421591653, 0.15173948752808275, 0.26920618617046876, 0.20295067204229567, 0.07149728914817512, 0.12373074880550552, -0.19119185348380735, 0.0067723310390739875, -0.2070725368083281, -0.133968377355644, -0.24919942477658802, 0.028533814620952738, 0.0005745916438419213, -0.1699367632568514, 0.39897141676254066, 0.11376012171301951, 0.2076052589326213, -0.08511036720276827, 0.25162997578618007, 0.20394912346214908, 0.06144838683480807, 0.04745057307556666, 0.2888788719073538, 0.1577682632368879, 0.15203162210488344, -0.3710846332793708, 0.06886074758703047, 0.02582101478888574] |
708.3535 | Probability, unitarity, and realism in generally covariant quantum
information | The formalism of covariant quantum theory, introduced by Reisenberger and
Rovelli, casts the description of quantum states and evolution into a framework
compatable with the principles of general relativity. The leap to this
covariant formalism, however, outstripped the standard interpretation used to
connect quantum theory to experimental predictions, leaving the predictions of
the RR theory ambiguous. Here we discuss in detail some implications of our
recently proposed description of covariant quantum information (CQI), which
addresses these problems. We show explicit agreement with standard quantum
mechanics in the appropriate limit. In addition to compatability with general
covariance, we show that our framework has other attractive and satisfying
features -- it is fully unitary, realist, and self-contained. The full
unitarity of the formalism in the presence of measurements allows us to invoke
time-reversal symmetry to obtain new predictions closely related to the quantum
Zeno effect.
| quant-ph gr-qc | the formalism of covariant quantum theory introduced by reisenberger and rovelli casts the description of quantum states and evolution into a framework compatable with the principles of general relativity the leap to this covariant formalism however outstripped the standard interpretation used to connect quantum theory to experimental predictions leaving the predictions of the rr theory ambiguous here we discuss in detail some implications of our recently proposed description of covariant quantum information cqi which addresses these problems we show explicit agreement with standard quantum mechanics in the appropriate limit in addition to compatability with general covariance we show that our framework has other attractive and satisfying features it is fully unitary realist and selfcontained the full unitarity of the formalism in the presence of measurements allows us to invoke timereversal symmetry to obtain new predictions closely related to the quantum zeno effect | [['the', 'formalism', 'of', 'covariant', 'quantum', 'theory', 'introduced', 'by', 'reisenberger', 'and', 'rovelli', 'casts', 'the', 'description', 'of', 'quantum', 'states', 'and', 'evolution', 'into', 'a', 'framework', 'compatable', 'with', 'the', 'principles', 'of', 'general', 'relativity', 'the', 'leap', 'to', 'this', 'covariant', 'formalism', 'however', 'outstripped', 'the', 'standard', 'interpretation', 'used', 'to', 'connect', 'quantum', 'theory', 'to', 'experimental', 'predictions', 'leaving', 'the', 'predictions', 'of', 'the', 'rr', 'theory', 'ambiguous', 'here', 'we', 'discuss', 'in', 'detail', 'some', 'implications', 'of', 'our', 'recently', 'proposed', 'description', 'of', 'covariant', 'quantum', 'information', 'cqi', 'which', 'addresses', 'these', 'problems', 'we', 'show', 'explicit', 'agreement', 'with', 'standard', 'quantum', 'mechanics', 'in', 'the', 'appropriate', 'limit', 'in', 'addition', 'to', 'compatability', 'with', 'general', 'covariance', 'we', 'show', 'that', 'our', 'framework', 'has', 'other', 'attractive', 'and', 'satisfying', 'features', 'it', 'is', 'fully', 'unitary', 'realist', 'and', 'selfcontained', 'the', 'full', 'unitarity', 'of', 'the', 'formalism', 'in', 'the', 'presence', 'of', 'measurements', 'allows', 'us', 'to', 'invoke', 'timereversal', 'symmetry', 'to', 'obtain', 'new', 'predictions', 'closely', 'related', 'to', 'the', 'quantum', 'zeno', 'effect']] | [-0.06600797993703976, 0.09439695611635739, -0.13852635918732928, 0.09496774682312781, -0.10639781079499434, -0.16031054691708785, 0.03806525130065964, 0.29750872181120813, -0.22743868858203398, -0.28185209967460195, 0.004587552695145421, -0.25326700779249817, -0.186085728383524, 0.15629148920865873, -0.0919113667856849, 0.11314502309228405, 0.040166788826967385, 0.032924510809388144, -0.11809768188407922, -0.22140577727439978, 0.2883260549865135, 0.06458606410784819, 0.2936322619405357, 0.07277577210891437, 0.09914573538942752, 0.04546640524170064, -0.042138830639738986, 0.01714800560107151, -0.1527982757756332, 0.14957478423297393, 0.2463551486564919, 0.1222775284207512, 0.2111371712798768, -0.48200327737904186, -0.2405095907747217, 0.029920206634750496, 0.07241874469563048, 0.18714237612331985, -0.02397900055317829, -0.3402863263106304, 0.06420844166163117, -0.18940984698157784, -0.1720925875780906, -0.1377691927280092, -0.018276558029762607, -0.1091540492088567, -0.22345704502914868, 0.08625229443786732, 0.07071875525863035, 0.009382770234943494, -0.04018928511902122, -0.04877983583616265, 0.05331757378678584, 0.09420450079974764, 0.03213339777422263, 0.008680178687234032, 0.09324924348348236, -0.10635721567417132, -0.16229148646189123, 0.41312015686739, -0.040163917819546625, -0.19565470848919442, 0.16228556578916148, -0.1369038763470908, -0.17988625362330507, 0.016039356519963514, 0.09292781537279804, 0.09240364147918233, -0.15181222772688097, 0.13232705243929216, -0.028553292561480974, 0.11243574600666761, 0.020721496056421852, 0.10653129315158767, 0.20334062558030774, 0.09556673988303606, -0.012973569744722323, 0.10054482711216514, -0.01891959269848117, -0.22612176121522984, -0.3801464131168017, -0.16382876683487568, -0.12009560310856458, 0.07772458268078507, -0.04739740724693521, -0.14293989955599531, 0.3719472695564759, 0.217410890834657, 0.1556386508754329, 0.0606005530753206, 0.28732554620653655, 0.1344385545656204, 0.0555460118318756, 0.038754945379807386, 0.2629670446570583, 0.2208065827697489, 0.06094043848603462, -0.23290850095622612, 0.015344969327198275, 0.06120216518521626] |
708.3536 | Suzaku Observations of Hercules X-1 : Measurements of the Two Cyclotron
Harmonics | The accretion-powered pulsar Her X-1 was observed with Suzaku twice in its
main-on state, on 2005 October 5-6 and 2006 March 29-30, for a net exposure of
30.5 ks and 34.4 ks, respectively. In the 2005 and 2006 observations, the
source was detected at an average 10-30 keV intensity of 290 mCrab and 230
mCrab, respectively. The intrinsic pulse period was measured on both occasions
at 1.23776 s by HXD-PIN, after barycentric and binary corrections. The pulse
phase-averaged spectra in the energy range above 10 keV are well fitted by
``Negative and Positive power-law times EXponential (NPEX)'' model, multiplied
by a fundamental cyclotron resonance scattering feature at ~36 keV which
appears very significantly in the HXD-PIN data. The resonance profiles were
reproduced successfully by the Lorentzian type scattering cross section, rather
than by a Gaussian type alternative. The pulse phase-averaged HXD-GSO data,
covering 50-120 keV, are featureless. However, in a differential spectrum
between the pulse-decay phase and off-pulse phase, the second harmonic
cyclotron resonance was detected in the GSO data at ~73 keV, with a depth of
1.6_-0.7^+0.9. This makes Her X-1 a 6th pulsar with established second harmonic
resonance. Implications of these results are briefly discussed.
| astro-ph | the accretionpowered pulsar her x1 was observed with suzaku twice in its mainon state on 2005 october 56 and 2006 march 2930 for a net exposure of 305 ks and 344 ks respectively in the 2005 and 2006 observations the source was detected at an average 1030 kev intensity of 290 mcrab and 230 mcrab respectively the intrinsic pulse period was measured on both occasions at 123776 s by hxdpin after barycentric and binary corrections the pulse phaseaveraged spectra in the energy range above 10 kev are well fitted by negative and positive powerlaw times exponential npex model multiplied by a fundamental cyclotron resonance scattering feature at 36 kev which appears very significantly in the hxdpin data the resonance profiles were reproduced successfully by the lorentzian type scattering cross section rather than by a gaussian type alternative the pulse phaseaveraged hxdgso data covering 50120 kev are featureless however in a differential spectrum between the pulsedecay phase and offpulse phase the second harmonic cyclotron resonance was detected in the gso data at 73 kev with a depth of 16_0709 this makes her x1 a 6th pulsar with established second harmonic resonance implications of these results are briefly discussed | [['the', 'accretionpowered', 'pulsar', 'her', 'x1', 'was', 'observed', 'with', 'suzaku', 'twice', 'in', 'its', 'mainon', 'state', 'on', '2005', 'october', '56', 'and', '2006', 'march', '2930', 'for', 'a', 'net', 'exposure', 'of', '305', 'ks', 'and', '344', 'ks', 'respectively', 'in', 'the', '2005', 'and', '2006', 'observations', 'the', 'source', 'was', 'detected', 'at', 'an', 'average', '1030', 'kev', 'intensity', 'of', '290', 'mcrab', 'and', '230', 'mcrab', 'respectively', 'the', 'intrinsic', 'pulse', 'period', 'was', 'measured', 'on', 'both', 'occasions', 'at', '123776', 's', 'by', 'hxdpin', 'after', 'barycentric', 'and', 'binary', 'corrections', 'the', 'pulse', 'phaseaveraged', 'spectra', 'in', 'the', 'energy', 'range', 'above', '10', 'kev', 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708.3537 | Studies on the Chazy equations | In this paper, we study the Chazy III,IX and X equations. For the Chazy III
equation, by making the birational transformations the Chazy III equation is
transformed into a third-order ordinary differential equation of rational type.
For this equation, we find its meromorphic solutions, whose free parameters are
essentially two. We also show that the system associated with this equation
admits new special solutions solved by $tanh(t)$. For the Chazy IX equation, we
transform the Chazy IX equation to a system of the first-order ordinary
differential equations by birational transformations. For this system, we give
two new birational B{\"a}cklund transformations. We also give the holomorphy
condition of this system. Thanks to this holomorphy condition, we obtain a new
partial differential system in two variables involving the Chazy IX equation,
This system satisfies the compatibility condition, and admits a travelling wave
solution. For the Chazy X equation, we transform the Chazy X equation to a
system of the first-order ordinary differential equations by birational
transformations. For this system, we give two birational B{\"a}cklund
transformations. One of them is new. We also give the holomorphy condition of
this system. Thanks to this holomorphy condition, we can recover this system.
| math.AG math.CA math.DS | in this paper we study the chazy iiiix and x equations for the chazy iii equation by making the birational transformations the chazy iii equation is transformed into a thirdorder ordinary differential equation of rational type for this equation we find its meromorphic solutions whose free parameters are essentially two we also show that the system associated with this equation admits new special solutions solved by tanht for the chazy ix equation we transform the chazy ix equation to a system of the firstorder ordinary differential equations by birational transformations for this system we give two new birational backlund transformations we also give the holomorphy condition of this system thanks to this holomorphy condition we obtain a new partial differential system in two variables involving the chazy ix equation this system satisfies the compatibility condition and admits a travelling wave solution for the chazy x equation we transform the chazy x equation to a system of the firstorder ordinary differential equations by birational transformations for this system we give two birational backlund transformations one of them is new we also give the holomorphy condition of this system thanks to this holomorphy condition we can recover this system | [['in', 'this', 'paper', 'we', 'study', 'the', 'chazy', 'iiiix', 'and', 'x', 'equations', 'for', 'the', 'chazy', 'iii', 'equation', 'by', 'making', 'the', 'birational', 'transformations', 'the', 'chazy', 'iii', 'equation', 'is', 'transformed', 'into', 'a', 'thirdorder', 'ordinary', 'differential', 'equation', 'of', 'rational', 'type', 'for', 'this', 'equation', 'we', 'find', 'its', 'meromorphic', 'solutions', 'whose', 'free', 'parameters', 'are', 'essentially', 'two', 'we', 'also', 'show', 'that', 'the', 'system', 'associated', 'with', 'this', 'equation', 'admits', 'new', 'special', 'solutions', 'solved', 'by', 'tanht', 'for', 'the', 'chazy', 'ix', 'equation', 'we', 'transform', 'the', 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'also', 'give', 'the', 'holomorphy', 'condition', 'of', 'this', 'system', 'thanks', 'to', 'this', 'holomorphy', 'condition', 'we', 'can', 'recover', 'this', 'system']] | [-0.2105938867594187, -0.015648388580825085, -0.11385291650748024, 0.07540421470319136, -0.15083968268277553, -0.1876581503269382, -0.029417929479565758, 0.27680832702929203, -0.3699015133799269, -0.21639428280102901, 0.11016442696086298, -0.2880891510130217, -0.18130677666706152, 0.15431596000368397, -0.05905037654133943, 0.06522183562002073, 0.03484534469361489, 0.020718482416123153, -0.17116981744169232, -0.2835533797526016, 0.44186589287785, -0.10471208608494355, 0.17805969717625816, -0.03738641387854631, 0.2244111692938858, -0.02034937191563539, 0.04952804112377075, -0.05306021069677976, -0.1897818961504993, 0.043011121295440276, 0.23356470940395807, 0.12581015220150735, 0.19389885087043812, -0.39729668905910775, -0.13495021935265797, 0.12091240800487307, 0.13915040387700384, 0.0951812211328592, 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708.3538 | Quark Confinement and the Fractional Quantum Hall Effect | Working in the physics of Wilson factor and Aharonov-Bohm effect, we find in
the fluxtube-quark system the topology of a baryon consisting three heavy
flavor quarks resembles that of the fractional quantum Hall effect (FQHE) in
condensed matter. This similarity yields the result that the constituent quarks
of baryon have the "filling factor" 1/3, thus the previous conjecture that
quark confinement is a correlation effect was confirmed. Moreover, by deriving
a Hamiltonian of the system analogous to that of FQHE, we predict an energy gap
for the ground state of a heavy three-quark system.
| hep-ph | working in the physics of wilson factor and aharonovbohm effect we find in the fluxtubequark system the topology of a baryon consisting three heavy flavor quarks resembles that of the fractional quantum hall effect fqhe in condensed matter this similarity yields the result that the constituent quarks of baryon have the filling factor 13 thus the previous conjecture that quark confinement is a correlation effect was confirmed moreover by deriving a hamiltonian of the system analogous to that of fqhe we predict an energy gap for the ground state of a heavy threequark system | [['working', 'in', 'the', 'physics', 'of', 'wilson', 'factor', 'and', 'aharonovbohm', 'effect', 'we', 'find', 'in', 'the', 'fluxtubequark', 'system', 'the', 'topology', 'of', 'a', 'baryon', 'consisting', 'three', 'heavy', 'flavor', 'quarks', 'resembles', 'that', 'of', 'the', 'fractional', 'quantum', 'hall', 'effect', 'fqhe', 'in', 'condensed', 'matter', 'this', 'similarity', 'yields', 'the', 'result', 'that', 'the', 'constituent', 'quarks', 'of', 'baryon', 'have', 'the', 'filling', 'factor', '13', 'thus', 'the', 'previous', 'conjecture', 'that', 'quark', 'confinement', 'is', 'a', 'correlation', 'effect', 'was', 'confirmed', 'moreover', 'by', 'deriving', 'a', 'hamiltonian', 'of', 'the', 'system', 'analogous', 'to', 'that', 'of', 'fqhe', 'we', 'predict', 'an', 'energy', 'gap', 'for', 'the', 'ground', 'state', 'of', 'a', 'heavy', 'threequark', 'system']] | [-0.16063113540651336, 0.25361009421573716, -0.1290524400800707, 0.10092286519726278, -0.010873980740065216, -0.09555874760913592, 0.07733522719823785, 0.26676160551767836, -0.18421479023762063, -0.3212010671374618, -0.038479791249408916, -0.27811011363081234, -0.09023772087949579, 0.11398426235042593, 0.027087358677739738, 0.05280343757601835, 0.032239406279498534, 0.025845013696560136, -0.07946391765689177, -0.24416537209343847, 0.36334630031819626, -0.009946640657251, 0.24432011813886703, 0.11579584159077175, 0.04495006758138858, -0.027247985224089315, 0.006513960158792875, 0.023129027597205615, -0.07306108749077295, 0.06089758006755703, 0.15434806039544344, -0.012836141068668615, 0.1910740612675586, -0.38237519736491865, -0.18960429565800774, 0.058843723658512356, 0.12706308629143462, 0.16070023054877916, -0.07653354283582459, -0.29128553860530415, 0.05760409969395848, -0.23168685645495932, -0.17149601200275044, -0.054090769943482025, 0.037972937292990186, -0.0873253488392439, -0.25498436427905513, 0.12844984885805877, 0.04751190722843955, 0.03849910633257961, -0.05262063248884133, -0.18356510064744902, -0.03161175114413103, 0.0783704988337973, 0.03864521808391537, 0.05504090611332206, 0.11403204135156127, -0.21636335845906488, -0.16995625709551537, 0.4331649506404515, -0.05505356101960104, -0.1500496887651983, 0.1167058601614929, -0.19844883752946732, -0.12905315927640404, 0.09876199509165819, 0.14351823614529705, 0.03248817098617394, -0.14996391148256358, 0.10193479175351419, -0.13429178863323182, 0.1726374177121988, 0.05240956675862112, 0.07021561351614775, 0.24124414774198685, 0.21437217599101444, 0.03328708937061169, 0.12808008419890557, -0.08111749656663667, -0.09483819243858659, -0.3071070131194848, -0.18763744659842022, -0.2003590134423106, 0.08591273688380757, -0.04445008929522823, -0.16514974576170727, 0.4339929725574229, 0.12530807315081519, 0.17559912152368054, -0.03941617934728011, 0.25362063902280024, 0.1477663367485968, 0.06067036835837268, 0.07319028344961705, 0.2863476594349229, 0.17656799227309725, 0.13051780272195096, -0.34073082057969467, -0.023273418612417676, 0.10226363845930625] |
708.3539 | An EL-labeling of the subgroup lattice | In a 2001 paper, Shareshian conjectured that the subgroup lattice of a
finite, solvable group has an EL-labeling. We construct such a labeling, and
verify that our labeling has the expected properties.
| math.CO math.GR | in a 2001 paper shareshian conjectured that the subgroup lattice of a finite solvable group has an ellabeling we construct such a labeling and verify that our labeling has the expected properties | [['in', 'a', '2001', 'paper', 'shareshian', 'conjectured', 'that', 'the', 'subgroup', 'lattice', 'of', 'a', 'finite', 'solvable', 'group', 'has', 'an', 'ellabeling', 'we', 'construct', 'such', 'a', 'labeling', 'and', 'verify', 'that', 'our', 'labeling', 'has', 'the', 'expected', 'properties']] | [-0.1294606029696297, 0.059534804506711225, -0.16250528016826138, 0.011327094616717659, -0.09706169622950256, -0.06595794718305115, 0.04155413472108194, 0.41647916520014405, -0.2598930412204936, -0.24831556162098423, 0.10313181200399413, -0.268337784538744, -0.19587876636069268, 0.1541362788702827, -0.14268093039572705, 0.001078380853869021, 0.0662290611944627, 0.0881751638953574, -0.03893167911155615, -0.2823231792426668, 0.253647877718322, 0.0004924931054119952, 0.2376706172944978, 0.08012043772032484, 0.13331553142052144, -0.004534421925200149, 0.020770154616911896, 0.031462385202758014, -0.16787310988229365, 0.0892737646936439, 0.24452744773589075, 0.08741205651313066, 0.27213927924094605, -0.32459660540916957, -0.21315489485277794, 0.20239826064789668, 0.15368206246057525, 0.07890470233542146, -0.1174899475008715, -0.25494675047229975, 0.1399998580745887, -0.2502839018125087, -0.13009797301492654, -0.08252351905684918, 0.11970205928082578, -0.05472634846228175, -0.27162537234835327, -0.07714156896690838, 0.11180762224830687, 0.10800448931183837, -0.010212083732767496, -0.07775416871299967, -0.01069395386002725, 0.14605480968020856, -0.03457784786587581, 0.09105590739636682, -0.03342124789196532, -0.10241091588977724, -0.21720674814423546, 0.42284900788217783, -0.03280020336387679, -0.16245802165940404, 0.19628328998805955, -0.09000975161325186, -0.23606583254877478, 0.06909729655308183, 0.06953064911067486, 0.13459833315573633, -0.07837745193683077, 0.17127638423517055, -0.2512381164706312, 0.1426583879365353, 0.057585894101066515, -0.07154714432545006, 0.08614259504247457, 0.1346241740975529, 0.05160058388719335, 0.1804155665449798, -0.0041709656798047945, 0.057071547576924786, -0.28980876828427427, -0.1806292052497156, -0.24881122930673882, 0.1004495052038692, -0.07243779038208231, -0.19494091474916786, 0.4227827109862119, 0.12148527133103926, 0.14426161139272153, 0.1274815987853799, 0.1494359857751988, 0.10328960699916934, 0.05333084031008184, 0.1386641864082776, 0.13024080800823867, 0.16234418388921767, -0.09492389694787562, -0.2213732578093186, 0.018878307499107905, 0.16163999898708425] |
708.354 | On the endomorphism algebra of modular Gelfand-Graev representations | We study the endomorphism algebras of a modular Gelfand-Graev representation
of a finite reductive group by investigating modular properties of
homomorphisms constructed by Curtis and Curtis-Shoji.
| math.RT | we study the endomorphism algebras of a modular gelfandgraev representation of a finite reductive group by investigating modular properties of homomorphisms constructed by curtis and curtisshoji | [['we', 'study', 'the', 'endomorphism', 'algebras', 'of', 'a', 'modular', 'gelfandgraev', 'representation', 'of', 'a', 'finite', 'reductive', 'group', 'by', 'investigating', 'modular', 'properties', 'of', 'homomorphisms', 'constructed', 'by', 'curtis', 'and', 'curtisshoji']] | [-0.24181581109762193, 0.06382452834397555, -0.21409438870847225, 0.03782917205244303, -0.1732967136800289, -0.08453198682516813, -0.038776102364063265, 0.3073387311398983, -0.4104242494702339, -0.17911529481410982, 0.10417256699874997, -0.19609192647039891, -0.1913792350515723, 0.19776574913412331, -0.12327803388237953, -0.03316378427669406, 0.06712825961411, 0.11747000984847546, -0.16624457251280547, -0.2546386833488941, 0.531244243979454, 0.012173562487587332, 0.24029301822185517, -0.016549460282549264, 0.12040954127907753, 0.08737431453540921, -0.07405619081109763, -0.03470798149704933, -0.14173759184777737, 0.17745376527309417, 0.39830217719078065, 0.03412210816517472, 0.21454163372516633, -0.3572370034456253, -0.11619956817477942, 0.1934800797700882, 0.11441583909094334, -0.05326875180006027, -0.07394783940166234, -0.3689992541074753, 0.14376696372404696, -0.27714176863431933, -0.16488944195210933, -0.11321708247065544, 0.0960966669023037, 0.006181076560169458, -0.19204044070094825, -0.07484006995335221, 0.09588430024683475, 0.25851186680607496, -0.0948752672970295, -0.05435556702315807, -0.08243059024214744, 0.05178154237568378, -0.1280477824062109, -0.015500583024695515, 0.15040867136791347, -0.1324097916483879, -0.1443409600108862, 0.3687849125266075, -0.05712470881640911, -0.1654157494008541, 0.06953525252640247, -0.15347975794225932, -0.2017143513262272, 0.03962549267336726, 0.05203321605920792, 0.14592235043644905, -0.047169260196387765, 0.23388863682514058, -0.19640270449221134, -0.02400651479372755, 0.06710707698017358, -0.07535890832543374, 0.08414333242923021, 0.07508595529943704, -0.0464351674541831, 0.2060883416235447, 0.16181240767240523, 0.0630401586741209, -0.30198863953351973, -0.1822456519678235, -0.09221333891153335, 0.14493979066610335, -0.1209119055228075, -0.16553797498345374, 0.5319964751601219, 0.02693453624844551, 0.16354866657406092, 0.1827731841430068, 0.12493681982159614, 0.04631614297628403, 0.16755808144807816, 0.01768188136455137, 0.0212246835231781, 0.37820595683529973, -0.17156252264976501, -0.18459864117437974, -0.08915691277943552, 0.30158500637859104] |
708.3541 | Degenerations of quadratic differentials on CP1 | We describe the connected components of the complement of a natural
"diagonal" of real codimension 1 in a stratum of quadratic differentials on
CP1. We establish a natural bijection between the set of these connected
components and the set of generic configurations that appear on such "flat
spheres". We also prove that the stratum has only one topological end. Finally,
we elaborate a necessary toolkit destined to evaluation of the Siegel-Veech
constants.
| math.GT | we describe the connected components of the complement of a natural diagonal of real codimension 1 in a stratum of quadratic differentials on cp1 we establish a natural bijection between the set of these connected components and the set of generic configurations that appear on such flat spheres we also prove that the stratum has only one topological end finally we elaborate a necessary toolkit destined to evaluation of the siegelveech constants | [['we', 'describe', 'the', 'connected', 'components', 'of', 'the', 'complement', 'of', 'a', 'natural', 'diagonal', 'of', 'real', 'codimension', '1', 'in', 'a', 'stratum', 'of', 'quadratic', 'differentials', 'on', 'cp1', 'we', 'establish', 'a', 'natural', 'bijection', 'between', 'the', 'set', 'of', 'these', 'connected', 'components', 'and', 'the', 'set', 'of', 'generic', 'configurations', 'that', 'appear', 'on', 'such', 'flat', 'spheres', 'we', 'also', 'prove', 'that', 'the', 'stratum', 'has', 'only', 'one', 'topological', 'end', 'finally', 'we', 'elaborate', 'a', 'necessary', 'toolkit', 'destined', 'to', 'evaluation', 'of', 'the', 'siegelveech', 'constants']] | [-0.2119058667966682, 0.06389576787801667, -0.06660424436429618, 0.04487719032396045, -0.08910605678748754, -0.12199860768547903, 0.03275773596316059, 0.3472164918590958, -0.26793505708014387, -0.191761050222946, 0.08323015681202782, -0.2635579471372896, -0.19145651437186947, 0.20505614599419963, -0.08875796977210687, -0.0006135212154024177, 0.058326823882655136, 0.10013633897566858, -0.0643382952742589, -0.28761607548221946, 0.4147081666564595, -0.0883345576779296, 0.22651092757910696, 0.08101862190394765, 0.1420229593447099, -0.0442410864505089, -0.014866993316294005, 0.015508018718618486, -0.18064526788758586, 0.1725911471940991, 0.23398955921745962, 0.11138558418477057, 0.1845452431201314, -0.4193675356089241, -0.12230871890723291, 0.1695623167583512, 0.10995517902645385, 0.014211270013927586, 0.016706344703885004, -0.2067491993980689, 0.11772190178776833, -0.13060551008675247, -0.1733437787948383, -0.10752695641066465, 0.03484739810745749, 0.01427062448217637, -0.20553131450691986, -0.04061830658570721, 0.0981268268595967, 0.07807771644244592, -0.06291296981119861, -0.10012935148875436, -0.07045730045259309, 0.1188833962013531, 0.009692103348142054, 0.03744465054478496, 0.09211965564302066, -0.07821111463838154, -0.09664534443678956, 0.3596609866945073, -0.06861120090292792, -0.23727860575309023, 0.2181516434583399, -0.12646747816324933, -0.1837989866681811, 0.06841256957138991, 0.1664967695897859, 0.14418769281797317, -0.06316350555951228, 0.12960830172313662, -0.09273734163596398, 0.12798810856960094, 0.0915163963629008, -0.03152482853167587, 0.19133978810471794, 0.12693386495165113, 0.09329952671295258, 0.17299542556025294, -0.02967987221846771, -0.0517402784122775, -0.39462727836022776, -0.22573090524464431, -0.14604325451202588, 0.07578243366798335, -0.1185590920696187, -0.22040348431457663, 0.45448216557916665, 0.09400740845335855, 0.23884971543318695, 0.07696377373455714, 0.2671504874273928, 0.03778994428487042, 0.06758016715240148, 0.057479879508415856, 0.17255156324245036, 0.13276399445668277, -0.03341189958801907, -0.12904433113807398, -0.032481626766740296, 0.1257153523878919] |
708.3542 | Congestion, equilibrium and learning: The minority game | The minority game is a simple congestion game in which the players' main goal
is to choose among two options the one that is adopted by the smallest number
of players. We characterize the set of Nash equilibria and the limiting
behavior of several well-known learning processes in the minority game with an
arbitrary odd number of players. Interestingly, different learning processes
provide considerably different predictions.
| physics.soc-ph | the minority game is a simple congestion game in which the players main goal is to choose among two options the one that is adopted by the smallest number of players we characterize the set of nash equilibria and the limiting behavior of several wellknown learning processes in the minority game with an arbitrary odd number of players interestingly different learning processes provide considerably different predictions | [['the', 'minority', 'game', 'is', 'a', 'simple', 'congestion', 'game', 'in', 'which', 'the', 'players', 'main', 'goal', 'is', 'to', 'choose', 'among', 'two', 'options', 'the', 'one', 'that', 'is', 'adopted', 'by', 'the', 'smallest', 'number', 'of', 'players', 'we', 'characterize', 'the', 'set', 'of', 'nash', 'equilibria', 'and', 'the', 'limiting', 'behavior', 'of', 'several', 'wellknown', 'learning', 'processes', 'in', 'the', 'minority', 'game', 'with', 'an', 'arbitrary', 'odd', 'number', 'of', 'players', 'interestingly', 'different', 'learning', 'processes', 'provide', 'considerably', 'different', 'predictions']] | [-0.11248393603388897, 0.10167536136158918, -0.10449051118992043, 0.12386080337455496, -0.05578602537174116, -0.2099254245686373, 0.10328885773196816, 0.35769927800830564, -0.2594487980346788, -0.3279631617902355, 0.0297626368419239, -0.2737791894681074, -0.1451563313180073, 0.08477070636934403, -0.12375966890954948, -0.018143510841058964, 0.03490251250508608, 0.05403206080849155, 0.1062346841808352, -0.3145145346608126, 0.38661175977551576, -0.02864449704065919, 0.2462123277964014, -0.0035079975019801746, 0.07957252552097832, 0.010988750459739205, 0.01439686774304419, 0.06596191094793154, -0.12111266867919546, 0.08015270668053717, 0.3297084675622032, 0.1805738198062031, 0.410578503467453, -0.40623360079233395, -0.11970037720025037, 0.1887420796130865, 0.09094901128749673, 0.09881614349521414, 0.0066946615239210205, -0.20944641174917872, 0.06599193987803477, -0.1791957913382882, -0.08156464600258252, -0.023179541169101314, 0.010427091411794678, 0.04514008765743876, -0.30914413928985596, -0.10104980937092367, 0.0321422949094664, 0.03901510942501552, -0.017946744634007864, -0.19643774692138488, -0.005253258965570818, 0.23337854490841203, 0.057852028985507786, -0.06689651848776548, 0.1249029954373272, -0.1810336088669966, -0.21947923637079922, 0.39027300985022023, -0.03997902205270348, -0.15616779989619373, 0.2024155497113525, -0.1253240695293767, -0.11076523108005693, 0.13381035177206452, 0.12626679636499225, 0.14897558770396493, -0.14113807036174517, 0.005535341981819577, -0.09593741979562875, 0.14075146746737036, 0.041031702449827484, 0.018615698731137498, 0.12781718242066828, 0.18912612926214933, 0.1688872888599607, 0.12032864731030934, 0.013173302367442486, -0.22907499949250257, -0.25321239218024083, -0.11352970542837724, -0.16397793744831826, 0.0230094424279576, -0.16046887447781488, -0.13248915469386813, 0.39505827707718266, 0.14708850954687505, 0.1462699601031614, 0.08922108310930939, 0.29965554986318405, 0.07992773903661697, -0.007878261759425655, 0.0936159340066793, 0.1884538019217099, 0.09220869069086444, 0.08147045162816842, -0.24966757001609288, 0.14025290163628984, 0.02648186327882506] |
708.3543 | Space-time orientations and Maxwell's equations | An analysis of the concept of orientation used in electrodynamics is
presented. At least two different versions are encountered in the literature.
Both are clearly identified and comparisons are made.
| math-ph math.DG math.MP | an analysis of the concept of orientation used in electrodynamics is presented at least two different versions are encountered in the literature both are clearly identified and comparisons are made | [['an', 'analysis', 'of', 'the', 'concept', 'of', 'orientation', 'used', 'in', 'electrodynamics', 'is', 'presented', 'at', 'least', 'two', 'different', 'versions', 'are', 'encountered', 'in', 'the', 'literature', 'both', 'are', 'clearly', 'identified', 'and', 'comparisons', 'are', 'made']] | [-0.13632552151878674, 0.07018206171972755, -0.0564075171481818, 0.08051868846717601, 0.0013862202254434426, -0.10946422419510782, -0.11940504647791386, 0.44878417340417703, -0.19720274433493615, -0.3356848961984118, 0.14489976281765848, -0.3415101740974933, -0.10385028421878814, 0.2579811987777551, -0.031069347634911537, 0.04767134571447969, 0.005276321774969498, 0.008607116279502709, -0.04491920716439684, -0.23414953369647265, 0.27938956683501603, -0.013867964859430988, 0.28795128787557284, -0.003942480186621348, 0.02426893973412613, -0.048009395506232976, -0.1303607176989317, 0.11158623322844505, -0.0836089680592219, 0.10062095237274965, 0.2587512952586015, 0.11121585536748171, 0.2693250151971976, -0.4184197476133704, -0.16821606612453857, 0.026673404996593795, 0.1259648832550738, 0.09724093220817547, -0.03743717387939493, -0.24532067527373633, 0.0730340542892615, -0.10169828380458057, -0.10781062686194977, -0.04284125939399625, -0.06197938806338546, 0.028176132682710887, -0.17583200720449288, 0.02158650370935599, -0.001434644094357888, 0.09412699146196246, -0.03882787452700238, -0.21917692068964242, 0.005885361119483908, 0.14813765427097678, 0.0702574401240175, -0.013248715487619241, 0.07320777618636688, -0.09710070760920644, -0.17151610342164833, 0.38463706721862156, -0.0005025883205235004, -0.2059454295784235, 0.2868458816160758, -0.09986465464656552, -0.16405049177119507, 0.09089102867922823, 0.12186668142676353, 0.12596068680286407, -0.18884741108243663, 0.0017543862864840775, -0.02117834615831574, 0.1329492191473643, 0.08533968119882047, 0.028930234350264074, 0.17931835983569425, 0.1354368982836604, -0.05035582923640807, 0.13788680417152743, -0.08917742401051025, -0.15290567434082428, -0.3662819049631556, -0.1231660846931239, -0.16555328723043203, -0.10851746393600478, -0.03995624959109894, -0.09621592576925954, 0.3465157295577228, 0.16592573057860135, 0.18593954614674052, -0.052525874723990756, 0.2615663843850295, 0.11030798892801007, 0.0389725452909867, 0.05935551417836298, 0.32696732903520265, 0.14448255269477764, 0.07053253607203563, -0.15718542512816688, 0.07259210489379862, 0.023014028510078787] |
708.3544 | A crystal theoretic method for finding rigged configurations from paths | The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one
correspondences between the set of highest paths and the set of rigged
configurations. In this paper, we give a crystal theoretic reformulation of the
KKR map from the paths to rigged configurations, using the combinatorial R and
energy functions. This formalism provides tool for analysis of the periodic
box-ball systems.
| math.QA math-ph math.MP | the kerovkirillovreshetikhin kkr bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations in this paper we give a crystal theoretic reformulation of the kkr map from the paths to rigged configurations using the combinatorial r and energy functions this formalism provides tool for analysis of the periodic boxball systems | [['the', 'kerovkirillovreshetikhin', 'kkr', 'bijection', 'gives', 'one', 'to', 'one', 'correspondences', 'between', 'the', 'set', 'of', 'highest', 'paths', 'and', 'the', 'set', 'of', 'rigged', 'configurations', 'in', 'this', 'paper', 'we', 'give', 'a', 'crystal', 'theoretic', 'reformulation', 'of', 'the', 'kkr', 'map', 'from', 'the', 'paths', 'to', 'rigged', 'configurations', 'using', 'the', 'combinatorial', 'r', 'and', 'energy', 'functions', 'this', 'formalism', 'provides', 'tool', 'for', 'analysis', 'of', 'the', 'periodic', 'boxball', 'systems']] | [-0.13057845635821336, 0.026030723133991504, -0.13125354605566325, 0.05572948451876512, -0.06418234668672085, -0.0584722062299863, 0.08596983144726154, 0.33606744304114694, -0.3150291839807198, -0.28062120985625116, -0.015296244522123116, -0.2550233229111623, -0.16437126397444257, 0.18077767588968935, -0.04139413914225738, 0.031780458015293396, 0.08232998854384341, -0.01571900492277125, -0.0978501316556127, -0.20079834497501625, 0.35865391300743293, 0.020009859312518405, 0.2540429213309082, 0.020142492976697998, 0.14938223734498024, 0.11205157584205655, -0.004601760968116337, -0.015190528609372419, -0.21611426879073783, 0.21222883694130798, 0.2644503208896916, 0.13280435876342758, 0.18822844175557638, -0.38890661978451857, -0.11024503259726896, 0.11086719817128675, 0.09745997536509972, 0.10118991260994868, -0.00047069675578125593, -0.23992896670925207, 0.06472973802512319, -0.1385446808718402, -0.1436684555374086, -0.07967814395268416, 0.02041776439753072, 0.02613079753415338, -0.2729855639346201, -0.020589705386022426, 0.021092491023692077, 0.07407400716931142, -0.10035387942053635, -0.08819402716170739, -0.01689652337467876, 0.11854373873211443, -0.046192076747658954, 0.08809364275557213, 0.05758902004213426, -0.053278790843062876, -0.14004147502368894, 0.39934323389275833, 0.02030239867624538, -0.23946137944686002, 0.18627846385914318, -0.1066507146179933, -0.15786947013713934, 0.12756183203149202, 0.06189083919663721, 0.1413167973273787, -0.1554377827154079, 0.12531276122498294, -0.10993609192042515, 0.09801140627502625, 0.09729979142289737, 0.040602805430133795, 0.19488083629001832, 0.129988646070505, 0.08397425570653687, 0.22225327493526556, -0.02979724587679937, -0.11569655461814897, -0.31742981635034084, -0.160409607244658, -0.15359694122112003, 0.0496062210877426, -0.11775620521702562, -0.24202537526986723, 0.4463617009078634, 0.12187445603696437, 0.16043126944388295, 0.043465745518915355, 0.22940347050637777, 0.10528459921449118, 0.013693260261788964, -0.01570914688937623, 0.16318165739307758, 0.20100467454176396, 0.06461835745722055, -0.17766382543225612, -0.05657944173134606, 0.19550183532631088] |
708.3545 | Applied statistics: A review | The main phases of applied statistical work are discussed in general terms.
The account starts with the clarification of objectives and proceeds through
study design, measurement and analysis to interpretation. An attempt is made to
extract some general notions.
| stat.AP | the main phases of applied statistical work are discussed in general terms the account starts with the clarification of objectives and proceeds through study design measurement and analysis to interpretation an attempt is made to extract some general notions | [['the', 'main', 'phases', 'of', 'applied', 'statistical', 'work', 'are', 'discussed', 'in', 'general', 'terms', 'the', 'account', 'starts', 'with', 'the', 'clarification', 'of', 'objectives', 'and', 'proceeds', 'through', 'study', 'design', 'measurement', 'and', 'analysis', 'to', 'interpretation', 'an', 'attempt', 'is', 'made', 'to', 'extract', 'some', 'general', 'notions']] | [-0.08172540849026962, 0.0663118991819479, -0.09836534360566965, 0.06950831839826722, -0.08263062518567611, -0.12087619013320176, 0.016663927632646684, 0.32786756978394127, -0.2477376784603947, -0.31453321539820767, 0.11017632950992826, -0.24407801230270892, -0.15800344393564722, 0.14960816741371766, -0.0985477657463306, 0.017639958251936313, 0.0525741398286743, -0.011971626860591082, -0.09246916063607503, -0.21117718293307683, 0.3354518151579377, 0.08565794781614573, 0.2899232544004917, 0.08410628240268964, 0.041437653944087334, 0.03581886001838706, -0.15018689706443977, 0.03106469126083912, -0.19640325277279586, 0.12002871703738585, 0.2804630152308024, 0.1664958737599544, 0.2711873267992185, -0.46082499427482104, -0.18638304324271396, 0.06534649958260931, 0.1056252589616447, 0.10429476264816447, -0.02537421729320135, -0.2662592222197698, 0.05729363615123125, -0.1039233990968802, -0.13769050775907743, -0.12763216864699736, -0.018627682939553872, -0.028617840409517672, -0.21955502529939017, -0.007466801227285312, 0.10702238604426384, 0.05743185037341064, -0.07647500962066726, -0.13233198406389698, 0.07457764671208003, 0.14419968522941837, 0.11585241822131838, 0.01812587098743862, 0.10320901372231162, -0.06723129329008934, -0.14517497381147665, 0.4154103791866547, -0.006706632028978605, -0.15466186327811998, 0.19129901233678445, -0.08222456216156925, -0.1632146766791359, 0.05730848231663307, 0.1752066786568134, 0.08424360895207009, -0.19833504083829048, 0.009446830796197249, 0.04740301818133165, 0.14907349538034162, 0.0022821955275363647, 0.02410735380059729, 0.1965076759314308, 0.18593247251537365, -0.0007628738068235227, 0.1897658348465577, -0.0035551787139131473, -0.1575315793355306, -0.36400218164691556, -0.17239513809386736, -0.10700369478227237, 0.015461432917688329, -0.017578709559389748, -0.09221356257032125, 0.4261179690559705, 0.19424438687602583, 0.2051062221185137, 0.01953926059202506, 0.3259593137563803, 0.1202597543836022, -0.008103416480410557, -0.0083347298264599, 0.2548753998088591, 0.20980688678817108, 0.0860030907445038, -0.14952492004690263, 0.10464456245207633, 0.037760421209849224] |
708.3546 | Field Experimental "Star Type" Metropolitan Quantum Key Distribution
Network | Quantum key distribution (QKD) network has recently attracted growing
attentions. Due to the special characteristics of quantum information, to build
a full-connectivity QKD network without trusted relays is a stimulating
challenge. In this letter, we report on the first realization of QKD network
without trusted relays which covers metropolis in the commercial backbone
optical fiber networks. The star topology four-user QKD network automatically
addresses the quantum signal with a quantum router (QR) and every user in the
network can receive and distribute quantum keys to any others simultaneously.
The longest and the shortest length of fibers between two geographically
separated nodes are 42.6km and 32km respectively, and the maximum average
quantum bit error rate (QBER) is below 8%. This result opens a new possibility
for the use of QKD into existing network.
| quant-ph | quantum key distribution qkd network has recently attracted growing attentions due to the special characteristics of quantum information to build a fullconnectivity qkd network without trusted relays is a stimulating challenge in this letter we report on the first realization of qkd network without trusted relays which covers metropolis in the commercial backbone optical fiber networks the star topology fouruser qkd network automatically addresses the quantum signal with a quantum router qr and every user in the network can receive and distribute quantum keys to any others simultaneously the longest and the shortest length of fibers between two geographically separated nodes are 426km and 32km respectively and the maximum average quantum bit error rate qber is below 8 this result opens a new possibility for the use of qkd into existing network | [['quantum', 'key', 'distribution', 'qkd', 'network', 'has', 'recently', 'attracted', 'growing', 'attentions', 'due', 'to', 'the', 'special', 'characteristics', 'of', 'quantum', 'information', 'to', 'build', 'a', 'fullconnectivity', 'qkd', 'network', 'without', 'trusted', 'relays', 'is', 'a', 'stimulating', 'challenge', 'in', 'this', 'letter', 'we', 'report', 'on', 'the', 'first', 'realization', 'of', 'qkd', 'network', 'without', 'trusted', 'relays', 'which', 'covers', 'metropolis', 'in', 'the', 'commercial', 'backbone', 'optical', 'fiber', 'networks', 'the', 'star', 'topology', 'fouruser', 'qkd', 'network', 'automatically', 'addresses', 'the', 'quantum', 'signal', 'with', 'a', 'quantum', 'router', 'qr', 'and', 'every', 'user', 'in', 'the', 'network', 'can', 'receive', 'and', 'distribute', 'quantum', 'keys', 'to', 'any', 'others', 'simultaneously', 'the', 'longest', 'and', 'the', 'shortest', 'length', 'of', 'fibers', 'between', 'two', 'geographically', 'separated', 'nodes', 'are', '426km', 'and', '32km', 'respectively', 'and', 'the', 'maximum', 'average', 'quantum', 'bit', 'error', 'rate', 'qber', 'is', 'below', '8', 'this', 'result', 'opens', 'a', 'new', 'possibility', 'for', 'the', 'use', 'of', 'qkd', 'into', 'existing', 'network']] | [-0.23470644417485986, 0.09851082017132651, -0.04716272810257451, -0.017534190449997236, -0.05694311712832414, -0.2695249775713382, 0.12155229360399436, 0.4102646060116037, -0.27455522695397455, -0.2746296265819507, 0.036856489303853913, -0.2813930264078514, -0.13192300730684497, 0.20481694732294525, -0.14034323701129633, 0.12229567580647016, 0.06982277726841181, 0.03524597851169664, -0.009272443931080517, -0.26017105255940165, 0.2942714022017669, 0.061881425182241226, 0.3559431773646511, 0.04192915160430942, 0.11929690286697858, 0.01962302619854869, -0.012947901599686737, -0.11193618327631912, -0.0920112463320757, 0.13517394856831363, 0.31436734336117905, 0.13118413668811726, 0.32351737959101046, -0.4142222368768001, -0.2251953460969204, 0.12494590443147477, 0.13265691582716338, 0.15321976547364088, -0.02283316671346538, -0.3189209466439116, 0.12720522562460612, -0.23250948272414448, -0.051436719502676136, 0.022795967237893924, -0.025220929262365483, 0.02437593816064818, -0.2049466338578987, -0.03428412388013893, 0.020208778753226925, 0.037169594756262594, 0.10141416048890976, -0.035702185752231254, 0.023518238469322984, 0.2040080963092488, -0.04870040868156294, 0.03369578751897829, 0.1404036052282286, -0.11811512484135785, -0.16959145978136464, 0.3326939355307656, 0.002938492304840407, -0.13409229325015068, 0.08831880873704488, -0.04951657523769279, -0.13205492238391392, 0.10681563318443535, 0.20135904082580824, 0.04151404668151062, -0.15010185820563127, 0.008109840688064637, -0.006917209696573342, 0.2196719726627014, 0.07009318524740579, 0.14099679401418727, 0.2183379585630903, 0.18518381711554013, 0.10346194568212873, 0.12860106148345526, -0.1442528996208697, -0.17299060961015003, -0.21985217152784267, -0.19840147110900674, -0.2817222812725592, 0.08950185419652293, -0.11463456786390622, -0.08194493324055459, 0.40234749378679796, 0.15465328816772084, 0.15460291283941546, 0.07610854395537081, 0.3748261074340621, 0.009388310177785944, 0.12148687339842666, 0.1696600720373004, 0.20773545249054828, 0.12190128173119598, 0.12972186858469778, -0.13563816406215404, 0.11719484221778607, 0.005978910959968271] |
708.3547 | New Probable Dwarf Galaxies in Northern Groups of the Local Supercluster | We have searched for nearby dwarf galaxies in 27 northern groups with
characteristic distances 8-15 Mpc based on the Second Palomar Sky Survey
prints. In a total area of about 2000 square degrees, we have found 90
low-surface-brightness objects, more than 60% of which are absent from known
catalogs and lists. We have classified most of these objects (~80%) as
irregular dwarf systems. The first 21-cm line observations of the new objects
with the 100-m Effelsberg radio telescope showed that the typical linear
diameters (1-2 kpc), internal motions (30 km/s), and hydrogen masses
(~2*10^7M_sun) galaxies correspond to those expected for the dwarf population
of nearby groups.
| astro-ph | we have searched for nearby dwarf galaxies in 27 northern groups with characteristic distances 815 mpc based on the second palomar sky survey prints in a total area of about 2000 square degrees we have found 90 lowsurfacebrightness objects more than 60 of which are absent from known catalogs and lists we have classified most of these objects 80 as irregular dwarf systems the first 21cm line observations of the new objects with the 100m effelsberg radio telescope showed that the typical linear diameters 12 kpc internal motions 30 kms and hydrogen masses 2107m_sun galaxies correspond to those expected for the dwarf population of nearby groups | [['we', 'have', 'searched', 'for', 'nearby', 'dwarf', 'galaxies', 'in', '27', 'northern', 'groups', 'with', 'characteristic', 'distances', '815', 'mpc', 'based', 'on', 'the', 'second', 'palomar', 'sky', 'survey', 'prints', 'in', 'a', 'total', 'area', 'of', 'about', '2000', 'square', 'degrees', 'we', 'have', 'found', '90', 'lowsurfacebrightness', 'objects', 'more', 'than', '60', 'of', 'which', 'are', 'absent', 'from', 'known', 'catalogs', 'and', 'lists', 'we', 'have', 'classified', 'most', 'of', 'these', 'objects', '80', 'as', 'irregular', 'dwarf', 'systems', 'the', 'first', '21cm', 'line', 'observations', 'of', 'the', 'new', 'objects', 'with', 'the', '100m', 'effelsberg', 'radio', 'telescope', 'showed', 'that', 'the', 'typical', 'linear', 'diameters', '12', 'kpc', 'internal', 'motions', '30', 'kms', 'and', 'hydrogen', 'masses', '2107m_sun', 'galaxies', 'correspond', 'to', 'those', 'expected', 'for', 'the', 'dwarf', 'population', 'of', 'nearby', 'groups']] | [-0.09233586121394875, 0.07817886556897845, -0.024171493574976922, 0.08707878729772, -0.11370835003354365, -0.0557492391073278, 0.048646996112629064, 0.43440354096570183, -0.09526446070632942, -0.422956452163912, 0.0851731197221116, -0.33901520403368135, -0.04104666658788032, 0.25210312411987357, -0.017810092511631195, -0.0760524283895003, 0.05887667467108085, -0.07697615084526617, -0.027326165784948637, -0.32455118371262437, 0.24137453805832637, 0.0623244023394017, 0.13526086929653372, -0.15022962017738747, 0.08580316090069356, -0.12828753745471616, -0.1326492676777499, -0.01762013911391564, -0.12495531723259427, 0.024192831563275483, 0.26240984347781965, 0.1010736666575429, 0.20143441240347568, -0.3176657416469728, -0.16415627066578184, 0.08983241368550807, 0.16573432278154152, 0.03608669053563582, -0.018910810519481035, -0.3657318092616541, 0.12385100291243621, -0.162771806205135, -0.19613818461518912, 0.11947116890833491, 0.10415394452533551, 0.08551558826916984, -0.10374083917496527, 0.14266821299901322, -0.01342413393514497, 0.19409735105665668, -0.12096647111743333, -0.20073744100518526, -0.04881888380096782, 0.10009685446996064, -0.04957659213160653, 0.04459011385749493, 0.18540279420447492, -0.09855214408377097, -0.05249785238965636, 0.43495787272141095, -0.05091244626992626, 0.06230702625498885, 0.2447947006683708, -0.22360073165036737, -0.19558962115441406, 0.18623758165187956, 0.1906114820923124, 0.12427982194792657, -0.19353058659249828, -0.018164310215174086, -0.07827127134161337, 0.2228978318206611, 0.10493799977869328, 0.09677631575614214, 0.29708244363289504, 0.055066001574907986, 0.106113082882283, 0.07224820260668084, -0.33059610270540274, -0.009280348107928322, -0.208242162362495, -0.06961174604615995, -0.11160298400514182, 0.10936064846547587, -0.11459701860384527, -0.07243141670755687, 0.3416784564537617, 0.10051254837640694, 0.2158826484640442, 0.12697012111256342, 0.24074084210608687, -0.028869344516923384, 0.17551549448676051, 0.15338638706265817, 0.2920141069307214, 0.17753645419364883, 0.060083536187275535, -0.10903670097773319, -0.016696814057372864, -0.02079374152900917] |
708.3548 | One-dimensional fermionic gases with attractive p-wave interaction in a
hard-wall trap | We investigate the ground state of the one-dimensional fermionic system
enclosed in a hard-wall trap with attractive contact p-wave interactions. Based
on the Bethe ansatz method, the explicit wave function is derived by
numerically solving the Bethe ansatz equations for the full physical regimes
($-\infty \leq c_F\leq 0$). With the exact wave function some quantities which
are important in many-body physics are obtained, including the one-body density
matrix and the momentum distribution of the ground state for finite system. It
is shown that the shell structure of the density profiles disappears with the
increase of the interaction and in the fermionic Tonks-Girardeau (FTG) limit
the density distribution shows the same behavior as that of an ideal Bose gas.
However the one-body density matrix and the momentum distribution exhibit
completely different structures compared with their bosonic counterparts.
| cond-mat.other cond-mat.str-el | we investigate the ground state of the onedimensional fermionic system enclosed in a hardwall trap with attractive contact pwave interactions based on the bethe ansatz method the explicit wave function is derived by numerically solving the bethe ansatz equations for the full physical regimes infty leq c_fleq 0 with the exact wave function some quantities which are important in manybody physics are obtained including the onebody density matrix and the momentum distribution of the ground state for finite system it is shown that the shell structure of the density profiles disappears with the increase of the interaction and in the fermionic tonksgirardeau ftg limit the density distribution shows the same behavior as that of an ideal bose gas however the onebody density matrix and the momentum distribution exhibit completely different structures compared with their bosonic counterparts | [['we', 'investigate', 'the', 'ground', 'state', 'of', 'the', 'onedimensional', 'fermionic', 'system', 'enclosed', 'in', 'a', 'hardwall', 'trap', 'with', 'attractive', 'contact', 'pwave', 'interactions', 'based', 'on', 'the', 'bethe', 'ansatz', 'method', 'the', 'explicit', 'wave', 'function', 'is', 'derived', 'by', 'numerically', 'solving', 'the', 'bethe', 'ansatz', 'equations', 'for', 'the', 'full', 'physical', 'regimes', 'infty', 'leq', 'c_fleq', '0', 'with', 'the', 'exact', 'wave', 'function', 'some', 'quantities', 'which', 'are', 'important', 'in', 'manybody', 'physics', 'are', 'obtained', 'including', 'the', 'onebody', 'density', 'matrix', 'and', 'the', 'momentum', 'distribution', 'of', 'the', 'ground', 'state', 'for', 'finite', 'system', 'it', 'is', 'shown', 'that', 'the', 'shell', 'structure', 'of', 'the', 'density', 'profiles', 'disappears', 'with', 'the', 'increase', 'of', 'the', 'interaction', 'and', 'in', 'the', 'fermionic', 'tonksgirardeau', 'ftg', 'limit', 'the', 'density', 'distribution', 'shows', 'the', 'same', 'behavior', 'as', 'that', 'of', 'an', 'ideal', 'bose', 'gas', 'however', 'the', 'onebody', 'density', 'matrix', 'and', 'the', 'momentum', 'distribution', 'exhibit', 'completely', 'different', 'structures', 'compared', 'with', 'their', 'bosonic', 'counterparts']] | [-0.15176356181252265, 0.16522963690427045, -0.09673020709435352, 0.07770457104089912, 0.021094824056382532, -0.12512592977188802, -0.012685041115791709, 0.3214790431920577, -0.2145752826291654, -0.2505454492099859, 0.03910433603536889, -0.3159459601708308, -0.0923686920992892, 0.10272302428191459, 0.11770931474381575, 0.10834330705304941, 0.03363497927439985, 0.042135912069567925, -0.163922409489061, -0.19855214828815035, 0.35836125929598456, 0.025567533203435164, 0.304393672377423, 0.056747723974425485, 0.0807911080584206, 0.03777837593591324, 0.08477845270945518, -0.013890518534376665, -0.14297996758433765, 0.06412211438571966, 0.20858113182820726, 0.04772494604845566, 0.18250295809746064, -0.4348678182948519, -0.2191887712933951, 0.06387009511667269, 0.18441764713196016, 0.14347298967531297, 0.0033246982687463364, -0.32932443425611213, -0.021491963885448596, -0.24340174051898497, -0.2339660040999728, -0.09163932795118955, 0.03854283691832313, 0.07722432047076937, -0.2327372158364462, 0.14640504210600974, 0.018759080436494616, 0.018601738984041192, -0.10691347674690876, -0.15901793376542628, -0.04218547786413519, 0.08442410411382163, 0.017638266798867673, 0.003061434533447027, 0.12228452239047598, -0.19258297594540097, 0.002342057781707909, 0.3601639650831068, -0.07443076564275004, -0.22135069617932593, 0.19187607047389502, -0.16067087759988175, -0.04786783529583503, 0.15135246546490602, 0.07971243698287893, 0.07796702036586659, -0.13527153781485848, 0.15215044580615575, -0.06270454096137891, 0.14273062656543012, 0.02010786800334851, 0.053958205043993616, 0.21036332552493722, 0.11516264932299101, 0.046978907956293336, 0.16005717749121012, -0.06691337963566184, -0.1606270510599845, -0.28586482354612264, -0.130172853622827, -0.2570547759067267, 0.054924935899907726, -0.0850233504761019, -0.18973633068574902, 0.35967767638050846, 0.13257984239435583, 0.20378644004878071, 0.0454186617784823, 0.26217790185301393, 0.20356082201124756, 0.009164113860094436, 0.08142898985253716, 0.21723443397808026, 0.18475934524882448, 0.057113560718587704, -0.3040735103241685, 0.0157248570687241, 0.0919044845909984] |
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