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712.2979 | Radially-Inflowing Molecular Gas in NGC 1275 Deposited by a X-ray
Cooling Flow in the Perseus Cluster | We have imaged in CO(2-1) the molecular gas in NGC 1275 (Perseus A), the cD
galaxy at the center of the Perseus Cluster, at a spatial resolution of $\sim$1
kpc over a central region of radius $\sim$ 10 kpc. Per A is known to contain
$\sim$1.3x10$^{10}$ M$_\odot$ of molecular gas, which has been proposed to be
captured from mergers with or ram-pressure stripping of gas-rich galaxies, or
accreted from a X-ray cooling flow. The molecular gas detected in our image has
a total mass of $\sim$4x10$^9$ M$_\odot$, and for the first time can be seen to
be concentrated in three radial filaments with lengths ranging from at least
1.1-2.4 kpc all lying in the east-west directions spanning the center of the
galaxy to radii of $\sim$8 kpc. The eastern and outer western filaments exhibit
larger blueshifted velocities with decreasing radii, whereas the inner western
filament spans the systemic velocity of the galaxy. The molecular gas shows no
signature of orbital motion, and is therefore unlikely to have been captured
from gas-rich galaxies. Instead, we are able to reproduce the observed
kinematics of the two outer filaments as free-fall in the gravitational
potential of Per A, as would be expected if they originate from a X-ray cooling
flow. Indeed, all three filaments lie between two prominent X-ray cavities
carved out by radio jets from Per A, and closely resembles the spatial
distribution of the coolest X-ray gas in the cluster core. The inferred
mass-deposition rate into the two outermost filaments alone is roughly 75
M$_odot$ yr$^{-1}$. This cooling flow can provide a nearly continuous supply of
molecular gas to fuel the active nucleus in Per A.
| astro-ph | we have imaged in co21 the molecular gas in ngc 1275 perseus a the cd galaxy at the center of the perseus cluster at a spatial resolution of sim1 kpc over a central region of radius sim 10 kpc per a is known to contain sim13x1010 m_odot of molecular gas which has been proposed to be captured from mergers with or rampressure stripping of gasrich galaxies or accreted from a xray cooling flow the molecular gas detected in our image has a total mass of sim4x109 m_odot and for the first time can be seen to be concentrated in three radial filaments with lengths ranging from at least 1124 kpc all lying in the eastwest directions spanning the center of the galaxy to radii of sim8 kpc the eastern and outer western filaments exhibit larger blueshifted velocities with decreasing radii whereas the inner western filament spans the systemic velocity of the galaxy the molecular gas shows no signature of orbital motion and is therefore unlikely to have been captured from gasrich galaxies instead we are able to reproduce the observed kinematics of the two outer filaments as freefall in the gravitational potential of per a as would be expected if they originate from a xray cooling flow indeed all three filaments lie between two prominent xray cavities carved out by radio jets from per a and closely resembles the spatial distribution of the coolest xray gas in the cluster core the inferred massdeposition rate into the two outermost filaments alone is roughly 75 m_odot yr1 this cooling flow can provide a nearly continuous supply of molecular gas to fuel the active nucleus in per a | [['we', 'have', 'imaged', 'in', 'co21', 'the', 'molecular', 'gas', 'in', 'ngc', '1275', 'perseus', 'a', 'the', 'cd', 'galaxy', 'at', 'the', 'center', 'of', 'the', 'perseus', 'cluster', 'at', 'a', 'spatial', 'resolution', 'of', 'sim1', 'kpc', 'over', 'a', 'central', 'region', 'of', 'radius', 'sim', '10', 'kpc', 'per', 'a', 'is', 'known', 'to', 'contain', 'sim13x1010', 'm_odot', 'of', 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712.298 | Higher-order gravity and the cosmological background of gravitational
waves | The cosmological background of gravitational waves can be tuned by the
higher-order corrections to the gravitational Lagrangian. In particular, it can
be shown that assuming $R^{1+\epsilon}$, where $\epsilon$ indicates a generic
(eventually small) correction to the Hilbert-Einstein action in the Ricci
scalar $R$, gives a parametric approach to control the evolution and the
production mechanism of gravitational waves in the early Universe.
| gr-qc | the cosmological background of gravitational waves can be tuned by the higherorder corrections to the gravitational lagrangian in particular it can be shown that assuming r1epsilon where epsilon indicates a generic eventually small correction to the hilberteinstein action in the ricci scalar r gives a parametric approach to control the evolution and the production mechanism of gravitational waves in the early universe | [['the', 'cosmological', 'background', 'of', 'gravitational', 'waves', 'can', 'be', 'tuned', 'by', 'the', 'higherorder', 'corrections', 'to', 'the', 'gravitational', 'lagrangian', 'in', 'particular', 'it', 'can', 'be', 'shown', 'that', 'assuming', 'r1epsilon', 'where', 'epsilon', 'indicates', 'a', 'generic', 'eventually', 'small', 'correction', 'to', 'the', 'hilberteinstein', 'action', 'in', 'the', 'ricci', 'scalar', 'r', 'gives', 'a', 'parametric', 'approach', 'to', 'control', 'the', 'evolution', 'and', 'the', 'production', 'mechanism', 'of', 'gravitational', 'waves', 'in', 'the', 'early', 'universe']] | [-0.17761125061998986, 0.15316678116083024, -0.13115368286267884, 0.10345935036668615, -0.10758698069971175, -0.10926786161989215, -0.06992038527143098, 0.2515051094965348, -0.27729484506492175, -0.27335137133524123, 0.04627586323054387, -0.2422300643332663, -0.1378496993453272, 0.16925972956983792, 0.006253659154378598, 0.023398201170963265, -0.0025715701462280366, 0.05923059213936569, -0.00845378641444709, -0.23193598456770903, 0.338575110252526, 0.10540441945458072, 0.17978280419183354, 0.07450904726471391, 0.0837291462962786, -0.0629673724798786, -0.026350761278374723, 0.03597660971084429, -0.11877626628718703, 0.01887550778807171, 0.20759695603121672, 0.11716550336249414, 0.23128573970508673, -0.4026597364234828, -0.2696906718755922, 0.12660736547061993, 0.16113516977131967, 0.20240990334611025, -0.025476157389235712, -0.3115067700404794, 0.08294790851012353, -0.19476790750218975, -0.12780269555984095, -0.04369362569489186, 0.024560272836336685, -0.02146075125558362, -0.31581039973084, 0.063726298090431, 0.03692787753478173, -0.09067604282585483, -0.06637497363525684, -0.004355699462335437, -0.06817377728199767, 0.033040505818902485, 0.11529974414095763, 0.10737889599535734, 0.17256524702233653, -0.1539622977011717, -0.053859041750265825, 0.43413210427294663, -0.21597181122389533, -0.22617820674373257, 0.1093482343975695, -0.17607526453362116, -0.10478530926329474, 0.14385334300553246, 0.16856451885354135, 0.1365692389888629, -0.14754947500618837, 0.1451379537212497, 0.09520260991168118, 0.15026922054934286, 0.10027875549971096, 0.020209818440038833, 0.29423841253869354, 0.09441663772093072, 0.03022415284818459, 0.09281004108713879, -0.028139080041118206, -0.06347865370973464, -0.3788140213958198, -0.10183706963735242, -0.12127217778094834, 0.07739493772087078, -0.16030924049963716, -0.15966043559103948, 0.3682756854912206, 0.11966379837042862, 0.12483821426247878, 0.04923494310388642, 0.26916904921733564, 0.12154522451812462, 0.0761201920949163, 0.07528006715414624, 0.37805358644935394, 0.1265113913461626, 0.08268619173266474, -0.2431105248509876, -0.006472646499112729, 0.08746994204158264] |
712.2981 | Oncoprotein metastasis disjoined | As the past decade barely dawned, a fundamentally novel view of cancer
relating to signal transduction through intracellular hormones/growth factors
and their subunits began to unfold. Further along, it gained additional
substance with the advent of the interdisciplinary fields of particle biology
and peptide strings which explain (onco)protein dynamics in spacetime, for
instance insulin-driven sub- and trans-cellular carcinogenesis, by physical
principles. Here, this new understanding is expanded to introduce the concept
of "oncoprotein metastasis" preceding cancer cell spread and, thereby, a
particular emphasis is placed on its potential role in the emergence of the
pre-metastatic niche. Consistent with this perception, yet unlike currently
advocated treatments that target cancer cells only, future antineoplastic
strategies should aim to mimic natural tumor suppressors as well as involve
both (morphologically) normal and malignant cells. If validated in human
patients with advanced cancer disease, its otherwise frequently lethal course
may be halted and reversed just in time.
| q-bio.SC q-bio.BM | as the past decade barely dawned a fundamentally novel view of cancer relating to signal transduction through intracellular hormonesgrowth factors and their subunits began to unfold further along it gained additional substance with the advent of the interdisciplinary fields of particle biology and peptide strings which explain oncoprotein dynamics in spacetime for instance insulindriven sub and transcellular carcinogenesis by physical principles here this new understanding is expanded to introduce the concept of oncoprotein metastasis preceding cancer cell spread and thereby a particular emphasis is placed on its potential role in the emergence of the premetastatic niche consistent with this perception yet unlike currently advocated treatments that target cancer cells only future antineoplastic strategies should aim to mimic natural tumor suppressors as well as involve both morphologically normal and malignant cells if validated in human patients with advanced cancer disease its otherwise frequently lethal course may be halted and reversed just in time | [['as', 'the', 'past', 'decade', 'barely', 'dawned', 'a', 'fundamentally', 'novel', 'view', 'of', 'cancer', 'relating', 'to', 'signal', 'transduction', 'through', 'intracellular', 'hormonesgrowth', 'factors', 'and', 'their', 'subunits', 'began', 'to', 'unfold', 'further', 'along', 'it', 'gained', 'additional', 'substance', 'with', 'the', 'advent', 'of', 'the', 'interdisciplinary', 'fields', 'of', 'particle', 'biology', 'and', 'peptide', 'strings', 'which', 'explain', 'oncoprotein', 'dynamics', 'in', 'spacetime', 'for', 'instance', 'insulindriven', 'sub', 'and', 'transcellular', 'carcinogenesis', 'by', 'physical', 'principles', 'here', 'this', 'new', 'understanding', 'is', 'expanded', 'to', 'introduce', 'the', 'concept', 'of', 'oncoprotein', 'metastasis', 'preceding', 'cancer', 'cell', 'spread', 'and', 'thereby', 'a', 'particular', 'emphasis', 'is', 'placed', 'on', 'its', 'potential', 'role', 'in', 'the', 'emergence', 'of', 'the', 'premetastatic', 'niche', 'consistent', 'with', 'this', 'perception', 'yet', 'unlike', 'currently', 'advocated', 'treatments', 'that', 'target', 'cancer', 'cells', 'only', 'future', 'antineoplastic', 'strategies', 'should', 'aim', 'to', 'mimic', 'natural', 'tumor', 'suppressors', 'as', 'well', 'as', 'involve', 'both', 'morphologically', 'normal', 'and', 'malignant', 'cells', 'if', 'validated', 'in', 'human', 'patients', 'with', 'advanced', 'cancer', 'disease', 'its', 'otherwise', 'frequently', 'lethal', 'course', 'may', 'be', 'halted', 'and', 'reversed', 'just', 'in', 'time']] | [-0.0221341715284917, 0.16371792017313458, -0.019705687308505852, 0.08464753619963991, -0.10811088625486197, -0.15369423542206095, 0.06796337204521222, 0.35484457271011083, -0.23100676088228247, -0.253305005730011, 0.09162539261199484, -0.24023624079226946, -0.24141098347480014, 0.18208368550501638, -0.13240262364418615, -0.008695325869660599, 0.07915754339988999, 0.04149948571567993, 0.07330014490859971, -0.23608997697166897, 0.24369651060426395, 0.0782969449365499, 0.29710597320828563, 0.024390920899783404, 0.10999762070296495, -0.025167284846687128, -0.05695371943425962, -0.006128646477106834, -0.10411222441120568, 0.11660150209037062, 0.33570650453060463, 0.20563319351386605, 0.3461109846830368, -0.5140684205013634, -0.28550022595480784, 0.09617457075057013, 0.19782112073622043, 0.09913041645851636, -0.05522361345629789, -0.2752973857279492, 0.03873097411030278, -0.14389003729666489, -0.13083787785292972, -0.03223823151498839, 0.05274133939583529, 0.00343161044742337, -0.1957318373118221, 0.10067382957098768, 0.02226736628600465, 0.10810868790835743, -0.07127456780485558, -0.12215858401149361, -0.03278757251436578, 0.18197048450632633, 0.08956838602625183, 0.06297675454082755, 0.22134105233071627, -0.17096260724114193, -0.13399670869987082, 0.3541453362586314, 0.042503198893153224, -0.15567129631308002, 0.23386157584382883, -0.1430287546159437, -0.12297977647594108, 0.10738107599880571, 0.16458658526351538, 0.0626924483577452, -0.2023238089441903, -0.009748667768427739, 0.0639718862433274, 0.12616288789310462, 0.10594036577319439, 0.001536449151826185, 0.24198747902089768, 0.2547000300907999, -0.014284498963408146, 0.06638925110268087, -0.06870336746703208, -0.10109789203227366, -0.21734244416424092, -0.1838340006249913, -0.09483435869313801, 0.04797342109912694, -0.043255812056626715, -0.16609943828439253, 0.38084710264365945, 0.10337152230731468, 0.13803628121733966, 0.002440534517225253, 0.24116957145149276, -0.020637599044266913, 0.11425262151892303, -0.06249734520484012, 0.1958322972153007, 0.08796832389639685, 0.1383419422082753, -0.21596816918522044, 0.15163049389351935, 0.005616631110405062] |
712.2982 | Spectroscopy of electronic defect states in Cu(In, Ga)(S, Se)$_2$-based
heterojunctions and Schottky diodes under damp-heat exposure | The changes of defect characteristics induced by accelerated lifetime tests
on the heterostructure n-ZnO/i-ZnO/CdS/Cu(In, Ga)(S, Se)$_2$/Mo relevant for
photovoltaic energy conversion are investigated. We subject heterojunction and
Schottky devices to extended damp heat exposure at 85$^{\circ}$C ambient
temperature and 85% relative humidity for various time periods. In order to
understand the origin of the pronounced changes of the devices, we apply
current--voltage and capacitance--voltage measurements, admittance
spectroscopy, and deep-level transient spectroscopy. The fill factor and
open-circuit voltage of test devices are reduced after prolonged damp heat
treatment, leading to a reduced energy conversion efficiency. We observe the
presence of defect states in the vicinity of the CdS/chalcopyrite interface.
Their activation energy increases due to damp heat exposure, indicating a
reduced band bending at the Cu(In, Ga)(S, Se)$_2$ surface. The Fermi-level
pinning at the buffer/chalcopyrite interface, maintaining a high band bending
in as-grown cells, is lifted due to the damp-heat exposure. We also observe
changes in the bulk defect spectra due to the damp-heat treatment.
| cond-mat.mtrl-sci | the changes of defect characteristics induced by accelerated lifetime tests on the heterostructure nznoiznocdscuin gas se_2mo relevant for photovoltaic energy conversion are investigated we subject heterojunction and schottky devices to extended damp heat exposure at 85circc ambient temperature and 85 relative humidity for various time periods in order to understand the origin of the pronounced changes of the devices we apply currentvoltage and capacitancevoltage measurements admittance spectroscopy and deeplevel transient spectroscopy the fill factor and opencircuit voltage of test devices are reduced after prolonged damp heat treatment leading to a reduced energy conversion efficiency we observe the presence of defect states in the vicinity of the cdschalcopyrite interface their activation energy increases due to damp heat exposure indicating a reduced band bending at the cuin gas se_2 surface the fermilevel pinning at the bufferchalcopyrite interface maintaining a high band bending in asgrown cells is lifted due to the dampheat exposure we also observe changes in the bulk defect spectra due to the dampheat treatment | [['the', 'changes', 'of', 'defect', 'characteristics', 'induced', 'by', 'accelerated', 'lifetime', 'tests', 'on', 'the', 'heterostructure', 'nznoiznocdscuin', 'gas', 'se_2mo', 'relevant', 'for', 'photovoltaic', 'energy', 'conversion', 'are', 'investigated', 'we', 'subject', 'heterojunction', 'and', 'schottky', 'devices', 'to', 'extended', 'damp', 'heat', 'exposure', 'at', '85circc', 'ambient', 'temperature', 'and', '85', 'relative', 'humidity', 'for', 'various', 'time', 'periods', 'in', 'order', 'to', 'understand', 'the', 'origin', 'of', 'the', 'pronounced', 'changes', 'of', 'the', 'devices', 'we', 'apply', 'currentvoltage', 'and', 'capacitancevoltage', 'measurements', 'admittance', 'spectroscopy', 'and', 'deeplevel', 'transient', 'spectroscopy', 'the', 'fill', 'factor', 'and', 'opencircuit', 'voltage', 'of', 'test', 'devices', 'are', 'reduced', 'after', 'prolonged', 'damp', 'heat', 'treatment', 'leading', 'to', 'a', 'reduced', 'energy', 'conversion', 'efficiency', 'we', 'observe', 'the', 'presence', 'of', 'defect', 'states', 'in', 'the', 'vicinity', 'of', 'the', 'cdschalcopyrite', 'interface', 'their', 'activation', 'energy', 'increases', 'due', 'to', 'damp', 'heat', 'exposure', 'indicating', 'a', 'reduced', 'band', 'bending', 'at', 'the', 'cuin', 'gas', 'se_2', 'surface', 'the', 'fermilevel', 'pinning', 'at', 'the', 'bufferchalcopyrite', 'interface', 'maintaining', 'a', 'high', 'band', 'bending', 'in', 'asgrown', 'cells', 'is', 'lifted', 'due', 'to', 'the', 'dampheat', 'exposure', 'we', 'also', 'observe', 'changes', 'in', 'the', 'bulk', 'defect', 'spectra', 'due', 'to', 'the', 'dampheat', 'treatment']] | [-0.13128315485423656, 0.16146454823968612, -0.013325118477557116, 0.026621319449789953, -0.004452217085536119, -0.13573975439307986, 0.1296030545005112, 0.4087428912211945, -0.27739315711341467, -0.3446621207363168, 0.03481287781184741, -0.3093402938167253, -0.07090825371734893, 0.20913447709650299, -0.04397868459368018, -0.011634416612025326, 0.026138020606687778, -0.054329404856558815, -0.07962074111197974, -0.1705520020554637, 0.21554475507230325, 0.13082804162927256, 0.3451092039490012, 0.13937202824730496, 0.03971977869143627, -0.03291256979973928, 0.039098616977145145, 0.02082089723864938, -0.13533355424085716, 0.045122910071611864, 0.2567142362225872, -0.0959374297878877, 0.22432737837539643, -0.4893513405280318, -0.2267937380167994, 0.03978278531520894, 0.0689955483365709, 0.08932882709173592, -0.044642370687293445, -0.21815843953140032, 0.06837849632338591, -0.12600666184013912, -0.13739365621465838, -0.0332945112222776, 0.002604576960728047, -0.004928988208816309, -0.19740078530265434, 0.1360452574969545, -0.0015918157953872037, 0.05330035293913761, -0.1390576805202194, -0.07001358192342862, -0.09923907938327309, 0.08877948436987658, 0.049449436170060874, -0.0193892093508795, 0.29358808267980246, -0.11725211430453714, -0.03511188244506432, 0.33332124041618816, -0.06259136197007421, -0.07576803134600069, 0.18952435323565153, -0.18277797707101437, -0.02410953166352579, 0.23026533066858626, 0.1785201213150552, 0.07230129780115821, -0.13912694825001867, 0.03721395524768871, 0.12063968329613281, 0.14485866757655505, 0.1428845570953622, 0.07595244145975893, 0.22344138581234557, 0.17500626328282629, 0.05059026873367987, 0.14741831639734138, -0.16966177538411015, 0.013797136158593426, -0.22884831431686617, -0.19397423080199067, -0.15422895568820416, 0.08774259175725613, -0.05243379269994626, -0.1532872627922304, 0.4311758364271966, 0.13929491417162168, 0.15132512963987935, -0.034854584545561465, 0.25814864137595533, 0.16487988790090843, 0.09670424774722167, 0.044422840138980346, 0.23761129310757967, 0.16469277957139927, 0.15416564474143324, -0.36339179433994945, 0.09389757628517023, -0.04813600703480707] |
712.2983 | Detection of sea-serpent field lines in sunspot penumbrae | We investigate the spatial distribution of magnetic polarities in the
penumbra of a spot observed very close to disk center. High-spatial resolution,
high-cadence magnetograms taken with the Narrowband Filter Imager aboard Hinode
are used in this study. They provide continuous and stable measurements in the
photospheric Fe I 630.25 line for long periods of time. We discover
small-scale, elongated, bipolar magnetic structures that appear in the mid
penumbra and move radially outward across the penumbra. They occur in between
the more vertical fields of the penumbra, and can be associated with the
horizontal fields that harbor the Evershed flow. Many of them cross the outer
penumbral boundary, becoming moving magnetic features in the sunspot moat. We
determine the properties of these structures, including their sizes, proper
motions, footpoint separation, and lifetimes. The bipolar patches can be
interpreted as being produced by sea-serpent field lines that originate in the
mid-penumbra and eventually leave the spot in the form moving magnetic
features. The existence of such field lines has been inferred from Stokes
inversions of spectropolarimetric measurements at lower angular resolution, but
this is the first time they are imaged directly. Our observations add another
piece of evidence in favor of the uncombed structure of penumbral magnetic
fields.
| astro-ph | we investigate the spatial distribution of magnetic polarities in the penumbra of a spot observed very close to disk center highspatial resolution highcadence magnetograms taken with the narrowband filter imager aboard hinode are used in this study they provide continuous and stable measurements in the photospheric fe i 63025 line for long periods of time we discover smallscale elongated bipolar magnetic structures that appear in the mid penumbra and move radially outward across the penumbra they occur in between the more vertical fields of the penumbra and can be associated with the horizontal fields that harbor the evershed flow many of them cross the outer penumbral boundary becoming moving magnetic features in the sunspot moat we determine the properties of these structures including their sizes proper motions footpoint separation and lifetimes the bipolar patches can be interpreted as being produced by seaserpent field lines that originate in the midpenumbra and eventually leave the spot in the form moving magnetic features the existence of such field lines has been inferred from stokes inversions of spectropolarimetric measurements at lower angular resolution but this is the first time they are imaged directly our observations add another piece of evidence in favor of the uncombed structure of penumbral magnetic fields | [['we', 'investigate', 'the', 'spatial', 'distribution', 'of', 'magnetic', 'polarities', 'in', 'the', 'penumbra', 'of', 'a', 'spot', 'observed', 'very', 'close', 'to', 'disk', 'center', 'highspatial', 'resolution', 'highcadence', 'magnetograms', 'taken', 'with', 'the', 'narrowband', 'filter', 'imager', 'aboard', 'hinode', 'are', 'used', 'in', 'this', 'study', 'they', 'provide', 'continuous', 'and', 'stable', 'measurements', 'in', 'the', 'photospheric', 'fe', 'i', '63025', 'line', 'for', 'long', 'periods', 'of', 'time', 'we', 'discover', 'smallscale', 'elongated', 'bipolar', 'magnetic', 'structures', 'that', 'appear', 'in', 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712.2984 | Conformal Curves on $WO_3$ Surface | We have studied the iso-height lines on the $\mathrm{WO_3}$ surface as a
physical candidate for conformally invariant curves. We have shown that these
lines are conformally invariant with the same statistics of domain walls in the
critical Ising model. They belong to the family of conformal invariant curves
called Schramm-Loewner evolution (or $SLE_{\kappa}$), with diffusivity of
$\kappa \sim 3$. This can be regarded as the first experimental observation of
SLE curves. We have also argued that Ballistic Deposition (BD) can serve as a
growth model giving rise to contours with similar statistics at large scales.
| cond-mat.stat-mech | we have studied the isoheight lines on the mathrmwo_3 surface as a physical candidate for conformally invariant curves we have shown that these lines are conformally invariant with the same statistics of domain walls in the critical ising model they belong to the family of conformal invariant curves called schrammloewner evolution or sle_kappa with diffusivity of kappa sim 3 this can be regarded as the first experimental observation of sle curves we have also argued that ballistic deposition bd can serve as a growth model giving rise to contours with similar statistics at large scales | [['we', 'have', 'studied', 'the', 'isoheight', 'lines', 'on', 'the', 'mathrmwo_3', 'surface', 'as', 'a', 'physical', 'candidate', 'for', 'conformally', 'invariant', 'curves', 'we', 'have', 'shown', 'that', 'these', 'lines', 'are', 'conformally', 'invariant', 'with', 'the', 'same', 'statistics', 'of', 'domain', 'walls', 'in', 'the', 'critical', 'ising', 'model', 'they', 'belong', 'to', 'the', 'family', 'of', 'conformal', 'invariant', 'curves', 'called', 'schrammloewner', 'evolution', 'or', 'sle_kappa', 'with', 'diffusivity', 'of', 'kappa', 'sim', '3', 'this', 'can', 'be', 'regarded', 'as', 'the', 'first', 'experimental', 'observation', 'of', 'sle', 'curves', 'we', 'have', 'also', 'argued', 'that', 'ballistic', 'deposition', 'bd', 'can', 'serve', 'as', 'a', 'growth', 'model', 'giving', 'rise', 'to', 'contours', 'with', 'similar', 'statistics', 'at', 'large', 'scales']] | [-0.1172910623309361, 0.18359044056504648, -0.13435464572319958, 0.07416423002352066, -0.06218347310068759, -0.17529839412507384, -0.04340275441435106, 0.38357421640366157, -0.23026794445344267, -0.2848360683531203, 0.08783970883319234, -0.27475652990347527, -0.12794080885137094, 0.20724960093812503, -0.02621492037074046, 0.08817140913588252, -0.019273424273396424, 0.02524552506176715, -0.04055601397672906, -0.2339532050140638, 0.31841170440918387, 0.0007292961582858512, 0.25369739210470876, 0.013357722879129839, 0.07143105631396968, -0.06664452766206988, 0.02312594467892926, 0.0569545633216547, -0.20909053865808405, 0.052404215876409345, 0.20703841880597967, 0.04851830711444602, 0.13598760673491422, -0.35770486326927836, -0.2554099736537071, 0.10191691081049516, 0.2011433477771092, 0.07056353506731226, -0.005492386933257605, -0.25968162968081043, 0.08260214975737828, -0.07807238090800696, -0.17199178292673636, -0.06746991260096113, 0.03044675545212119, 0.019670331259282862, -0.2082662621830055, 0.10431662469605688, 0.06478067340844489, 0.09092425739273746, -0.04760934904396059, -0.07643469534021743, -0.08957414342922733, 0.09465898723252356, 0.057209850286450634, 0.07089924990159875, 0.11354356221210687, -0.0971643258594571, -0.1353321400807893, 0.3802017603444797, -0.11848882159733391, -0.21969626747329343, 0.20607061292777987, -0.17831100279742734, -0.17062793533872575, 0.12499794181921776, 0.15891826982570298, 0.11305138274056321, -0.12956260911565512, 0.09312127243251876, -0.05371581139340204, 0.09048751337414092, 0.06831526258425351, 0.023539447646706978, 0.27167939620112325, 0.11630894267495642, 0.028274174816807374, 0.1466983607660563, -0.0951748072204398, -0.09692452036022664, -0.3378481916647325, -0.17754116545225732, -0.16325276763614346, 0.12017098600800308, -0.10807557568261202, -0.22643281494241277, 0.36736015254195703, 0.11474722264346325, 0.2635376096078928, 0.08433357705461218, 0.1511625623171951, 0.1296151959339771, 0.12148120683528721, 0.09985945135989088, 0.2001097875231124, 0.11724039173110369, 0.08218210122047706, -0.15760659466081478, 0.04528750646661254, 0.05594564620603589] |
712.2985 | Laboratory soft x-ray emission due to the Hawking-Unruh effect? | The structure of spacetime, quantum field theory, and thermodynamics are all
connected through the concepts of the Hawking and Unruh temperatures. The
possible detection of the related radiation constitutes a fundamental test of
such subtle connections. Here a scheme is presented for the detection of Unruh
radiation based on currently available laser systems. By separating the
classical radiation from the Unruh-response in frequency space, it is found
that the detection of Unruh radiation is possible in terms of soft x-ray
photons using current laser-electron beam technology. The experimental
constraints are discussed and a proposal for an experimental design is given.
| hep-ph gr-qc | the structure of spacetime quantum field theory and thermodynamics are all connected through the concepts of the hawking and unruh temperatures the possible detection of the related radiation constitutes a fundamental test of such subtle connections here a scheme is presented for the detection of unruh radiation based on currently available laser systems by separating the classical radiation from the unruhresponse in frequency space it is found that the detection of unruh radiation is possible in terms of soft xray photons using current laserelectron beam technology the experimental constraints are discussed and a proposal for an experimental design is given | [['the', 'structure', 'of', 'spacetime', 'quantum', 'field', 'theory', 'and', 'thermodynamics', 'are', 'all', 'connected', 'through', 'the', 'concepts', 'of', 'the', 'hawking', 'and', 'unruh', 'temperatures', 'the', 'possible', 'detection', 'of', 'the', 'related', 'radiation', 'constitutes', 'a', 'fundamental', 'test', 'of', 'such', 'subtle', 'connections', 'here', 'a', 'scheme', 'is', 'presented', 'for', 'the', 'detection', 'of', 'unruh', 'radiation', 'based', 'on', 'currently', 'available', 'laser', 'systems', 'by', 'separating', 'the', 'classical', 'radiation', 'from', 'the', 'unruhresponse', 'in', 'frequency', 'space', 'it', 'is', 'found', 'that', 'the', 'detection', 'of', 'unruh', 'radiation', 'is', 'possible', 'in', 'terms', 'of', 'soft', 'xray', 'photons', 'using', 'current', 'laserelectron', 'beam', 'technology', 'the', 'experimental', 'constraints', 'are', 'discussed', 'and', 'a', 'proposal', 'for', 'an', 'experimental', 'design', 'is', 'given']] | [-0.11017567505401493, 0.18885589269065708, -0.08504797689466163, 0.04639815361794047, -0.057605555426856185, -0.12016881940735862, 0.00676252441410201, 0.35797049494629557, -0.21328201158574284, -0.281401962643922, 0.07686626703144436, -0.2879582808889223, -0.1169804935955038, 0.2716144213095458, -0.04897636979009316, 0.05887087071408527, 0.004088861759601518, 0.05739058262252277, -0.025091942201011033, -0.18893684190697968, 0.3411188332241668, 0.13788568541628657, 0.31411109938559056, 0.10438387117557629, 0.1310410346186748, -0.010088733590273844, -0.06038822520129157, 0.006858918255822959, -0.10195933422816017, 0.08357248673300174, 0.24224036943985883, 0.1666057353387728, 0.20577572800002691, -0.39256957530824826, -0.2499858579560738, 0.05153197698257487, 0.06433129403740168, 0.12329373691193383, -0.08921004355428834, -0.2907024308700453, 0.019208598155246087, -0.16114800579074506, -0.08296455298914959, -0.019043695520270954, 0.006662138155661523, -0.03379958130024148, -0.1947799102771284, 0.04378218025044359, 0.038937793649507293, 0.009306823021045537, -0.08146837257751913, -0.05110168147531122, 0.027027705204532, 0.09367164605381814, 0.03508984690739049, 0.026941687000369786, 0.17335481615266715, -0.1484623801038422, -0.15864794442637098, 0.412356281366124, -0.01882022141356661, -0.14162518157426154, 0.2025471294646838, -0.14137736599271497, -0.07150009933464004, 0.13881959950532577, 0.09277334623038769, 0.150810070618084, -0.1507460240367565, 0.09076670252287647, 0.009462793451743294, 0.1503718500378344, 0.07752974578555712, 0.0804485705013227, 0.27784541608634017, 0.18295671935357868, 0.011514347564015124, 0.17558186631085296, -0.10040714996490589, -0.07244655443473032, -0.37342914950215456, -0.1522042070364937, -0.2171286283627698, 0.04529312475010602, -0.06325374755757329, -0.1396905586048208, 0.354727682430699, 0.18328457673943385, 0.1037029343812416, -0.031419514944174824, 0.376089016841066, 0.12282723240610777, 0.021019789286785655, 0.03226450849042246, 0.3201080748171668, 0.14176547188415295, 0.0851299874484539, -0.2589632233468383, 0.01981907164339315, 0.00586461114245608] |
712.2986 | Homogenization of reflected semilinear PDE with nonlinear Neumann
boundary condition | We study the homogenization problem of semi linear reflected partial
differential equations (reflected PDEs for short) with nonlinear Neumann
conditions. The non-linear term is a function of the solution but not of its
gradient. The proof are fully probabilistic and uses weak convergence of
associated reflected generalized backward differential stochastic equations
(reflected GBSDEs in short).
| math.PR | we study the homogenization problem of semi linear reflected partial differential equations reflected pdes for short with nonlinear neumann conditions the nonlinear term is a function of the solution but not of its gradient the proof are fully probabilistic and uses weak convergence of associated reflected generalized backward differential stochastic equations reflected gbsdes in short | [['we', 'study', 'the', 'homogenization', 'problem', 'of', 'semi', 'linear', 'reflected', 'partial', 'differential', 'equations', 'reflected', 'pdes', 'for', 'short', 'with', 'nonlinear', 'neumann', 'conditions', 'the', 'nonlinear', 'term', 'is', 'a', 'function', 'of', 'the', 'solution', 'but', 'not', 'of', 'its', 'gradient', 'the', 'proof', 'are', 'fully', 'probabilistic', 'and', 'uses', 'weak', 'convergence', 'of', 'associated', 'reflected', 'generalized', 'backward', 'differential', 'stochastic', 'equations', 'reflected', 'gbsdes', 'in', 'short']] | [-0.15503175141374495, 0.03527406352487478, -0.0877043823457577, 0.10778787153222683, -0.17263116751458835, -0.1382916307076812, -0.07469111535359513, 0.28558265278539197, -0.43906229985031214, -0.17505997089161116, 0.158727347611619, -0.2977651546793905, -0.16817791158841414, 0.1904608669606122, -0.10428110244260592, 0.12795541293982585, 0.09697983647612009, -0.016473650102588264, -0.09968694882806052, -0.18496973526410082, 0.33821806826374745, -0.07000739480665123, 0.1948286894412542, 0.00543401376767592, 0.25403860036961057, 0.05074894738976251, -0.09440636433322322, 0.037998287345875396, -0.1298798915464431, 0.09225870140362531, 0.24399853284386072, 0.0548476405441761, 0.32051336684010245, -0.46968992863866416, -0.16400882112370296, 0.062022741566496814, 0.09580099988167852, 0.13349315940656445, -0.048311032202433456, -0.3003925636410713, 0.0640421671454202, -0.08011633956974203, -0.1725084614601325, -0.005964576994830912, -0.03528770536861636, 0.1292402637910775, -0.2671621082604609, 0.16450199562717568, 0.15222400796007027, 0.05029747561043636, -0.0817649425663562, -0.04645068712363189, -0.03934410519220612, 0.00904111811383204, 0.0415497969201004, -0.059500089181925765, 0.010338854400271718, -0.09250025293705139, -0.07953610481186346, 0.31911327420649205, -0.18104389519854025, -0.3110015304928476, 0.14405548530207438, -0.1484453007240187, -0.07244538672014393, 0.21350628286600112, 0.2129106597805565, 0.22435645406896418, -0.2399731291119348, 0.11857892263744196, -0.024792738004841587, 0.16233083466914566, 0.05556776014749299, 0.009180352743715047, 0.06920451548966494, 0.15138290592215278, 0.15213541304692627, 0.12184644920158792, 0.03684432172872634, -0.17734535251828756, -0.3685251920060678, -0.12699278808114203, -0.0719297006980262, 0.06442998033466707, -0.08362092047067232, -0.2364448270675811, 0.3455853029916232, 0.06981685645878315, 0.11741799144920978, 0.12305878766558387, 0.24737787499007854, 0.3568566569719802, -0.06180852033536543, 0.04103054510090839, 0.20732161075575278, 0.273182134245607, 0.22365096638148482, -0.2507326334799555, 0.12219976553354751, 0.1777572879906405] |
712.2987 | Inertial range scaling of scalar flux spectra in uniformly sheared
turbulence | A model based on two-point closure theory of turbulence is proposed and
applied to study the Reynolds number dependency of the scalar flux spectra in
homogeneous shear flow with a cross-stream uniform scalar gradient. For the
cross-stream scalar flux, in the inertial range the spectral behavior agrees
with classical predictions and measurements. The streamwise scalar flux is
found to be in good agreement with the results of atmospheric measurements.
However, both the model results and the atmospheric measurements disagree with
classical predictions. A detailed analysis of the different terms in the
evolution equation for the streamwise scalar flux spectrum shows that nonlinear
contributions are governing the inertial subrange of this spectrum and that
these contributions are relatively more important than for the cross-stream
flux. A new expression for the scalar flux spectra is proposed. It allows us to
unify the description of the components in one single expression, leading to a
classical K^-7/3 inertial range for the cross-stream component and to a new
K^-23/9 scaling for the streamwise component that agrees better with
atmospheric measurements than the K^-3 prediction of J. C. Wyngaard and O. R.
Cot\'e [Quart. J. R. Met. Soc. 98, 590 (1972)].
| physics.class-ph | a model based on twopoint closure theory of turbulence is proposed and applied to study the reynolds number dependency of the scalar flux spectra in homogeneous shear flow with a crossstream uniform scalar gradient for the crossstream scalar flux in the inertial range the spectral behavior agrees with classical predictions and measurements the streamwise scalar flux is found to be in good agreement with the results of atmospheric measurements however both the model results and the atmospheric measurements disagree with classical predictions a detailed analysis of the different terms in the evolution equation for the streamwise scalar flux spectrum shows that nonlinear contributions are governing the inertial subrange of this spectrum and that these contributions are relatively more important than for the crossstream flux a new expression for the scalar flux spectra is proposed it allows us to unify the description of the components in one single expression leading to a classical k73 inertial range for the crossstream component and to a new k239 scaling for the streamwise component that agrees better with atmospheric measurements than the k3 prediction of j c wyngaard and o r cote quart j r met soc 98 590 1972 | [['a', 'model', 'based', 'on', 'twopoint', 'closure', 'theory', 'of', 'turbulence', 'is', 'proposed', 'and', 'applied', 'to', 'study', 'the', 'reynolds', 'number', 'dependency', 'of', 'the', 'scalar', 'flux', 'spectra', 'in', 'homogeneous', 'shear', 'flow', 'with', 'a', 'crossstream', 'uniform', 'scalar', 'gradient', 'for', 'the', 'crossstream', 'scalar', 'flux', 'in', 'the', 'inertial', 'range', 'the', 'spectral', 'behavior', 'agrees', 'with', 'classical', 'predictions', 'and', 'measurements', 'the', 'streamwise', 'scalar', 'flux', 'is', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'the', 'results', 'of', 'atmospheric', 'measurements', 'however', 'both', 'the', 'model', 'results', 'and', 'the', 'atmospheric', 'measurements', 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'o', 'r', 'cote', 'quart', 'j', 'r', 'met', 'soc', '98', '590', '1972']] | [-0.12536273087727712, 0.14053454958910563, -0.08224318409458609, 0.04790559341679759, -0.05897801376629582, -0.1238500655235089, -0.04848383165495086, 0.30317312642240646, -0.19342172550896816, -0.32276866944223526, 0.037236677894378366, -0.27444591053610623, -0.08015103022731149, 0.2378994328349099, -0.012633349495032592, 0.053428927616494676, 0.06748023356332626, 0.007692095314719013, -0.03386893957618086, -0.16094301076193063, 0.2814235297132514, 0.09140591228563223, 0.2915680935338125, 0.04442488706248246, 0.0656460211132221, -0.03706602626912219, -0.07117387904925392, 0.04652130679640266, -0.16884700373140224, 0.09254033587268103, 0.18454916845735872, 0.02556242451753429, 0.19428365560459723, -0.3727607849178855, -0.24231065980629207, 0.07097992498773276, 0.13852775943244702, 0.07752231327269572, 0.018931822232243763, -0.21668163487319145, 0.0896639921714446, -0.1584612407851196, -0.11280741290784604, 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712.2988 | The rotational evolution of young low mass stars | Star-disk interaction is thought to drive the angular momentum evolution of
young stars. In this review, I present the latest results obtained on the
rotational properties of low mass and very low mass pre-main sequence stars. I
discuss the evidence for extremely efficient angular momentum removal over the
first few Myr of pre-main sequence evolution and describe recent results that
support an accretion-driven braking mechanism. Angular momentum evolution
models are presented and their implication for accretion disk lifetimes
discussed.
| astro-ph | stardisk interaction is thought to drive the angular momentum evolution of young stars in this review i present the latest results obtained on the rotational properties of low mass and very low mass premain sequence stars i discuss the evidence for extremely efficient angular momentum removal over the first few myr of premain sequence evolution and describe recent results that support an accretiondriven braking mechanism angular momentum evolution models are presented and their implication for accretion disk lifetimes discussed | [['stardisk', 'interaction', 'is', 'thought', 'to', 'drive', 'the', 'angular', 'momentum', 'evolution', 'of', 'young', 'stars', 'in', 'this', 'review', 'i', 'present', 'the', 'latest', 'results', 'obtained', 'on', 'the', 'rotational', 'properties', 'of', 'low', 'mass', 'and', 'very', 'low', 'mass', 'premain', 'sequence', 'stars', 'i', 'discuss', 'the', 'evidence', 'for', 'extremely', 'efficient', 'angular', 'momentum', 'removal', 'over', 'the', 'first', 'few', 'myr', 'of', 'premain', 'sequence', 'evolution', 'and', 'describe', 'recent', 'results', 'that', 'support', 'an', 'accretiondriven', 'braking', 'mechanism', 'angular', 'momentum', 'evolution', 'models', 'are', 'presented', 'and', 'their', 'implication', 'for', 'accretion', 'disk', 'lifetimes', 'discussed']] | [-0.11569606044765891, 0.21737473887922626, -0.04583007606524456, 0.1371759169770381, -0.11999983365774225, -0.01788505935404874, 0.003535344778218224, 0.4418930788111838, -0.20551043607388872, -0.3476079757785118, 0.058033551883742304, -0.1778938359804923, -0.002074352831025667, 0.2007927538567706, -0.04604147592650821, -0.019386645922248688, 0.16662450121786399, -0.08094728000084811, -0.04782873974181712, -0.20872326192882243, 0.3493406997899277, 0.09172096029159767, 0.10583134956327797, 0.0004600624058725713, 0.06738645627010095, -0.09563927941283659, -0.10235737279481903, -0.11919950778725781, -0.2102833613787396, 0.0216790982345237, 0.1910841033315154, 0.13172682180788509, 0.2186807436467726, -0.37483018327834483, -0.17998959792960623, -0.012648389589253671, 0.20784057396805927, 0.06946463071847264, -0.18080135436781647, -0.1922397610813945, 0.057081533760964115, -0.2512222860757073, -0.1841774907057421, -0.06198180364326963, 0.1253953410807667, 0.05249236285969426, -0.22527728784428555, 0.10729686609436935, 0.12065633064536732, 0.08256035656491413, -0.1700956915222297, -0.16328351754294354, -0.076878666223463, 0.09075882424058133, 0.10177744441382776, 0.07847615223542988, 0.13331465565752756, -0.1564202601991924, -0.08688754942032355, 0.3502842583045175, -0.06059069604070598, -0.06656727526053975, 0.24020402430544927, -0.2086291194221453, -0.18174449853669805, 0.1264290836215302, 0.16707937020949926, 0.17704314275797975, -0.14247572276545276, -0.025413540051955306, 0.0466315037323327, 0.16055652937745746, 0.005752603408491499, 0.11499203577095383, 0.3635560750513326, 0.17028788092569744, -0.0638730994755803, 0.062326586463406115, -0.17753262201005804, -0.14116235378587358, -0.2443162620338741, -0.11634740082818214, -0.15890723692630476, 0.10686226997265144, -0.11368824195509476, -0.07689366321067644, 0.3445653682456741, 0.14362055379779468, 0.2613070117592623, 0.05793183448406149, 0.3054164941245808, 0.11047077121189501, 0.07313726591005261, 0.14076623489750148, 0.30279997837600076, 0.22665022079585284, 0.16129401805840102, -0.31849966498454324, 0.07127707235403123, 0.022552919926275086] |
712.2989 | A way to get rid of cosmological constant and zero point energy problems
of quantum fields through metric reversal symmetry | In this paper a framework is introduced to remove the huge discrepancy
between the empirical value of the cosmological constant and the contribution
to the cosmological constant predicted from the vacuum energy of quantum
fields. An extra dimensional space with metric reversal symmetry and $R^2$
gravity is considered to this end. The resulting 4-dimensional energy-momentum
tensor (obtained after integration over extra dimensions) consists of terms
that contain off-diagonally coupled pair of Kaluza-Klein modes. This, in turn,
generically results in vanishing of the vacuum expectation value of the
energy-momentum tensor for quantum fields, and offers a way to solve the
problem of huge contribution of quantum fields to the vacuum energy density.
| hep-th astro-ph gr-qc hep-ph | in this paper a framework is introduced to remove the huge discrepancy between the empirical value of the cosmological constant and the contribution to the cosmological constant predicted from the vacuum energy of quantum fields an extra dimensional space with metric reversal symmetry and r2 gravity is considered to this end the resulting 4dimensional energymomentum tensor obtained after integration over extra dimensions consists of terms that contain offdiagonally coupled pair of kaluzaklein modes this in turn generically results in vanishing of the vacuum expectation value of the energymomentum tensor for quantum fields and offers a way to solve the problem of huge contribution of quantum fields to the vacuum energy density | [['in', 'this', 'paper', 'a', 'framework', 'is', 'introduced', 'to', 'remove', 'the', 'huge', 'discrepancy', 'between', 'the', 'empirical', 'value', 'of', 'the', 'cosmological', 'constant', 'and', 'the', 'contribution', 'to', 'the', 'cosmological', 'constant', 'predicted', 'from', 'the', 'vacuum', 'energy', 'of', 'quantum', 'fields', 'an', 'extra', 'dimensional', 'space', 'with', 'metric', 'reversal', 'symmetry', 'and', 'r2', 'gravity', 'is', 'considered', 'to', 'this', 'end', 'the', 'resulting', '4dimensional', 'energymomentum', 'tensor', 'obtained', 'after', 'integration', 'over', 'extra', 'dimensions', 'consists', 'of', 'terms', 'that', 'contain', 'offdiagonally', 'coupled', 'pair', 'of', 'kaluzaklein', 'modes', 'this', 'in', 'turn', 'generically', 'results', 'in', 'vanishing', 'of', 'the', 'vacuum', 'expectation', 'value', 'of', 'the', 'energymomentum', 'tensor', 'for', 'quantum', 'fields', 'and', 'offers', 'a', 'way', 'to', 'solve', 'the', 'problem', 'of', 'huge', 'contribution', 'of', 'quantum', 'fields', 'to', 'the', 'vacuum', 'energy', 'density']] | [-0.1560793145442264, 0.16134581296101133, -0.05760637499173885, 0.03234457990116868, -0.07692072698888411, -0.07990129250898823, -0.02446291090706615, 0.2827311721085025, -0.24002425152879744, -0.30830691570231505, 0.03532944357144303, -0.2420914381729892, -0.10017439762868725, 0.12375047842359489, -0.027586296830024268, 0.03190447473772676, 0.006202922395623482, 0.05602808400720089, -0.07163921856690568, -0.2636749673024374, 0.3899732490200214, 0.06983764869106414, 0.28468195870854296, 0.05863219422187556, 0.15626027873142515, -0.037773588835891034, -0.01732541132416274, 0.054372765228460615, -0.12222748332026862, 0.13543685156377955, 0.21671977387069985, 0.07139921277291603, 0.23557351477578417, -0.40484952265480617, -0.20961213455040445, 0.1417859207905896, 0.08534586016793509, 0.1577714312431478, -0.03973441318449405, -0.2542387489942616, 0.06627092389222067, -0.16408967054323167, -0.15799048693162632, -0.06530175776313152, -0.007419660993692305, -0.13310995283494662, -0.2699736579759718, 0.11554086058996282, 0.0078077545097970345, -0.02845498758393365, -0.08785823460769009, -0.09316644198387056, -0.009430076935336934, 0.07831468479288323, 0.15067949731255303, 0.054687644488719364, 0.09082128947521015, -0.1737431570610817, -0.10561469027369812, 0.3855134942107373, -0.13380642244508406, -0.21013400342885977, 0.11502029881015555, -0.10636008107564873, -0.0816330765206199, 0.12180816738757196, 0.1477213609745508, 0.09696860312744304, -0.13852188631321663, 0.1869523562894723, 0.009743725561100553, 0.1373560320552405, 0.09369845252047788, 0.06283659620109845, 0.24088966831363537, 0.06038623515659155, 0.06623528307505153, 0.14595309028880218, -0.03306706092395895, -0.14980786422536047, -0.39019744069659495, -0.20918006356805563, -0.19443641260669037, 0.11920597788936517, -0.12933364107343262, -0.19179772832305045, 0.3885242790088628, 0.13066114791876612, 0.1859801530781378, 0.03250926673445884, 0.2864279546376385, 0.1136143654076223, 0.10085708292480139, 0.06173931580531906, 0.28638288632941405, 0.16774153279828596, 0.11254118450157982, -0.24017544117177259, -0.07584128118548039, 0.0740105301888475] |
712.299 | Chiral effective field theory on the lattice at next-to-leading order | We study nucleon-nucleon scattering on the lattice at next-to-leading order
in chiral effective field theory. We determine phase shifts and mixing angles
from the properties of two-nucleon standing waves induced by a hard spherical
wall in the center-of-mass frame. At fixed lattice spacing we test model
independence of the low-energy effective theory by computing
next-to-leading-order corrections for two different leading-order lattice
actions. The first leading-order action includes instantaneous one-pion
exchange and same-site contact interactions. The second leading-order action
includes instantaneous one-pion exchange and Gaussian-smeared interactions. We
find that in each case the results at next-to-leading order are accurate up to
corrections expected at higher order.
| nucl-th hep-lat | we study nucleonnucleon scattering on the lattice at nexttoleading order in chiral effective field theory we determine phase shifts and mixing angles from the properties of twonucleon standing waves induced by a hard spherical wall in the centerofmass frame at fixed lattice spacing we test model independence of the lowenergy effective theory by computing nexttoleadingorder corrections for two different leadingorder lattice actions the first leadingorder action includes instantaneous onepion exchange and samesite contact interactions the second leadingorder action includes instantaneous onepion exchange and gaussiansmeared interactions we find that in each case the results at nexttoleading order are accurate up to corrections expected at higher order | [['we', 'study', 'nucleonnucleon', 'scattering', 'on', 'the', 'lattice', 'at', 'nexttoleading', 'order', 'in', 'chiral', 'effective', 'field', 'theory', 'we', 'determine', 'phase', 'shifts', 'and', 'mixing', 'angles', 'from', 'the', 'properties', 'of', 'twonucleon', 'standing', 'waves', 'induced', 'by', 'a', 'hard', 'spherical', 'wall', 'in', 'the', 'centerofmass', 'frame', 'at', 'fixed', 'lattice', 'spacing', 'we', 'test', 'model', 'independence', 'of', 'the', 'lowenergy', 'effective', 'theory', 'by', 'computing', 'nexttoleadingorder', 'corrections', 'for', 'two', 'different', 'leadingorder', 'lattice', 'actions', 'the', 'first', 'leadingorder', 'action', 'includes', 'instantaneous', 'onepion', 'exchange', 'and', 'samesite', 'contact', 'interactions', 'the', 'second', 'leadingorder', 'action', 'includes', 'instantaneous', 'onepion', 'exchange', 'and', 'gaussiansmeared', 'interactions', 'we', 'find', 'that', 'in', 'each', 'case', 'the', 'results', 'at', 'nexttoleading', 'order', 'are', 'accurate', 'up', 'to', 'corrections', 'expected', 'at', 'higher', 'order']] | [-0.14842509974149012, 0.20893913763575256, -0.06803977162011766, 0.10791606976695003, -0.03389974839852324, -0.07624333511949295, 0.01433770278346769, 0.3856012218321363, -0.19471207499681484, -0.25480914406833194, -0.022985770436935126, -0.3660857748949812, -0.08004787140304134, 0.05953728134211685, 0.09665610652272812, 0.04580260344027054, 0.03164575666721378, 0.0679643731985596, -0.11582810072716149, -0.2044710684390295, 0.31122372048419145, 0.05560407975599879, 0.22481329961724225, 0.1473737087854672, 0.0724845224237513, 0.11091404218404066, -0.025973007615123476, -0.03546046665204423, -0.15810158086664852, 0.08062494379423914, 0.2063479847496464, -0.11839300731551788, 0.1220542885052661, -0.413151498600131, -0.13245867828705482, 0.028877642737435445, 0.09587536626717165, 0.2167133646462822, 0.03753801999458422, -0.2616005162375846, 0.041224735991896265, -0.28111161578091837, -0.1538496420940473, -0.11149925469376501, -0.0007550188883518179, -0.02280571098173303, -0.328817957001073, 0.08494885322981559, -0.01910680022001976, 0.05891082368436314, -0.041126556481633866, -0.12455797461526734, -0.014966308112655367, 0.14752625759602303, 0.08903708528793816, 0.06861071448462705, 0.1269641475929391, -0.16371094370704323, -0.1460848894923748, 0.4635285578135933, -0.11000126176181116, -0.13744389394386894, 0.13188484734633849, -0.18159736472492416, -0.0975590507899012, 0.19882611902430652, 0.21566310937383346, 0.09810789992944116, -0.18113899341828765, 0.12909943470121582, 0.07359727466745036, 0.14836742708104708, 0.1063807802008731, 0.007595247283045735, 0.18200504403295262, 0.11213925559783265, 0.0047666321065099465, 0.07997757205517873, -0.05113070772384249, -0.14944706056267024, -0.4192818896401496, 0.01924955650451704, -0.13530238809152728, 0.03801526774962743, -0.13395175316462493, -0.09484489696721236, 0.34453035396124637, 0.15690910295178626, 0.15013189061899626, 0.058672941440627686, 0.3181249496837457, 0.11895995049604348, 0.08987690010773285, 0.0582350977607781, 0.2975660500870574, 0.14611015561081114, 0.045008126295925606, -0.30138963135430547, -0.024502607794212445, 0.15967061248208794] |
712.2991 | Gravitational Waves From the End of Inflation: Computational Strategies | Parametric resonance or preheating is a plausible mechanism for bringing
about the transition between the inflationary phase and a hot, radiation
dominated universe. This epoch results in the rapid production of heavy
particles far from thermal equilibrium and could source a significant
stochastic background of gravitational radiation. Here, we present a numerical
algorithm for computing the contemporary power spectrum of gravity waves
generated in this post-inflationary phase transition for a large class of
scalar-field driven inflationary models. We explicitly calculate this spectrum
for both quartic and quadratic models of chaotic inflation, and low-scale
hybrid models. In particular, we consider hybrid models with an ``inverted''
potential. These models have a very short and intense period of resonance which
is qualitatively different from previous examples studied in this context, but
we find that they lead to a similar spectrum of gravitational radiation.
| astro-ph | parametric resonance or preheating is a plausible mechanism for bringing about the transition between the inflationary phase and a hot radiation dominated universe this epoch results in the rapid production of heavy particles far from thermal equilibrium and could source a significant stochastic background of gravitational radiation here we present a numerical algorithm for computing the contemporary power spectrum of gravity waves generated in this postinflationary phase transition for a large class of scalarfield driven inflationary models we explicitly calculate this spectrum for both quartic and quadratic models of chaotic inflation and lowscale hybrid models in particular we consider hybrid models with an inverted potential these models have a very short and intense period of resonance which is qualitatively different from previous examples studied in this context but we find that they lead to a similar spectrum of gravitational radiation | [['parametric', 'resonance', 'or', 'preheating', 'is', 'a', 'plausible', 'mechanism', 'for', 'bringing', 'about', 'the', 'transition', 'between', 'the', 'inflationary', 'phase', 'and', 'a', 'hot', 'radiation', 'dominated', 'universe', 'this', 'epoch', 'results', 'in', 'the', 'rapid', 'production', 'of', 'heavy', 'particles', 'far', 'from', 'thermal', 'equilibrium', 'and', 'could', 'source', 'a', 'significant', 'stochastic', 'background', 'of', 'gravitational', 'radiation', 'here', 'we', 'present', 'a', 'numerical', 'algorithm', 'for', 'computing', 'the', 'contemporary', 'power', 'spectrum', 'of', 'gravity', 'waves', 'generated', 'in', 'this', 'postinflationary', 'phase', 'transition', 'for', 'a', 'large', 'class', 'of', 'scalarfield', 'driven', 'inflationary', 'models', 'we', 'explicitly', 'calculate', 'this', 'spectrum', 'for', 'both', 'quartic', 'and', 'quadratic', 'models', 'of', 'chaotic', 'inflation', 'and', 'lowscale', 'hybrid', 'models', 'in', 'particular', 'we', 'consider', 'hybrid', 'models', 'with', 'an', 'inverted', 'potential', 'these', 'models', 'have', 'a', 'very', 'short', 'and', 'intense', 'period', 'of', 'resonance', 'which', 'is', 'qualitatively', 'different', 'from', 'previous', 'examples', 'studied', 'in', 'this', 'context', 'but', 'we', 'find', 'that', 'they', 'lead', 'to', 'a', 'similar', 'spectrum', 'of', 'gravitational', 'radiation']] | [-0.128024882410786, 0.18945093647271277, -0.096631222500998, 0.11742902602709364, -0.061264210819665876, -0.1381161303848785, -0.007456135758132275, 0.34519012491883977, -0.23238786894695035, -0.2963132986665836, 0.05931847932183051, -0.255252121598044, -0.14244118968989433, 0.2052068329033708, -0.001992082120185452, 0.019343221759689704, 0.043107876879262874, -0.011318336131184228, -0.024128194674683204, -0.1734985468659683, 0.3198515333917125, 0.10120493556106729, 0.2002245760855398, 0.03030597911482411, 0.0699454233216654, -0.0898670826597871, -0.0018436578790507546, -0.019128511430296515, -0.1433677870583259, 0.07045807220357736, 0.20303105010370928, 0.1158383272588253, 0.22584575389711453, -0.43350371375147784, -0.28746442824069945, 0.19115169930758255, 0.13839906389455012, 0.18846425194143585, -0.1331055403753583, -0.24630739903077484, 0.03244377167679236, -0.20916272628985877, -0.0946700314093115, -0.047743110678025655, 0.012178796506486834, -0.03653644131762641, -0.28723546696294633, 0.1044788827188313, 0.04176398526344981, 0.013872780206812811, -0.07289064677232611, -0.04645092182992292, -0.006803335826511362, 0.0288963623361529, 0.08681051999114321, 0.0124743197080014, 0.13233065018762968, -0.17558103672095707, -0.10000804725610318, 0.3898336476110022, -0.1457727831588792, -0.08899902962647112, 0.19787572766654193, -0.16492499185925616, -0.15631042620433228, 0.15161678198658463, 0.1881959425252197, 0.13818943173225437, -0.14936738259025983, 0.08739466138441847, 0.04979722557057228, 0.14527797638771256, 0.05586439723681126, 0.031861005231205906, 0.338315884968532, 0.15548091521652949, -0.028333266801200806, 0.13410997873870656, -0.04638439748502735, -0.12565519876578557, -0.31487615692562293, -0.06637088883435353, -0.13317940240459783, 0.04728956281323917, -0.09096784327858976, -0.19963915878906846, 0.4413843031307416, 0.16360523665124285, 0.17532003972280238, 0.03589144371341847, 0.3020383852334427, 0.1400057368130157, 0.011790913170157832, 0.05769688103880201, 0.3233250307484663, 0.09110548545639696, 0.13724398379979122, -0.21238871233737364, -0.011480433799858605, -0.011502434206860406] |
712.2992 | A Proof Of Kochen - Specker Theorem of Quantum Mechanics Using a Quantum
Like Algebraic Formulation | Using a quantum like algebraic formulation we give proof of Kochen-Specker
theorem. We introduce new criteria in order to account for the contextual
nature of measurements in quantum mechanics.
| physics.gen-ph | using a quantum like algebraic formulation we give proof of kochenspecker theorem we introduce new criteria in order to account for the contextual nature of measurements in quantum mechanics | [['using', 'a', 'quantum', 'like', 'algebraic', 'formulation', 'we', 'give', 'proof', 'of', 'kochenspecker', 'theorem', 'we', 'introduce', 'new', 'criteria', 'in', 'order', 'to', 'account', 'for', 'the', 'contextual', 'nature', 'of', 'measurements', 'in', 'quantum', 'mechanics']] | [-0.08820699251674373, 0.04469799545818362, -0.20918655902918043, 0.11967834521984232, -0.1322619988229768, -0.20298941515321875, 0.08004030005620985, 0.2453954420855333, -0.23966430975445385, -0.3196479783489786, 0.053454487415929806, -0.23342182654245147, -0.1604362952940423, 0.19566862657666206, -0.14269698022639957, 0.05679150420273173, 0.026716600846627664, -0.011570049642488874, -0.08277545882196262, -0.21232250054238427, 0.31720677878836107, -0.05498342997201815, 0.23451091862958054, 0.10392889358777681, 0.14413015955481037, 0.11602310784931841, -0.03867968762743062, 0.042913543317338515, -0.22667593802807146, 0.14055952301313138, 0.2966032151116765, 0.16404132352306924, 0.2737298183913889, -0.4661623041691451, -0.14869252658160081, 0.09810290392488241, 0.03686252089040675, 0.18186051288523294, -0.01355814818164398, -0.3441457738136423, 0.08123641329464214, -0.14340394613300933, -0.11458170389082155, -0.1828797092853949, -0.034444565081904674, -0.0877648163586855, -0.20655885631025867, 0.11807436549008407, 0.18244054977749957, 0.11293183761680949, -0.04661693382237492, -0.02098603228283725, 0.15687597003476372, 0.04092144103849243, -0.07271004939082495, -0.07172400828707835, 0.07970874060491293, -0.09427409314004512, -0.2400309215460358, 0.400068612705017, -0.0028925669291217267, -0.21435833593894696, 0.1263721913484664, -0.056080694053450536, -0.23945930086333175, 0.006700733821068345, 0.17655288704253477, 0.08692940245061342, -0.11411022247168524, 0.09252099795588131, -0.06336728663280092, 0.12727556634565879, 0.027900206182023574, 0.1842710067485941, 0.16126060588606472, 0.10001156222203682, 0.050064786979607465, 0.19861410795871554, -0.04836759613505725, -0.19247457629133916, -0.41185070160005627, -0.2527952022882628, -0.1630841059738706, 0.14581586089755955, -0.08320189008874626, -0.17610392822273846, 0.37063177854850377, 0.20830365991348337, 0.12022503690216048, 0.06054018951695541, 0.25964888108187706, 0.1310388160315503, 0.032281028776071315, 0.016511897106879746, 0.21787758595470724, 0.2396478759574479, 0.09516512063042872, -0.10751108796303642, 0.024231964272671734, 0.20515113152113967] |
712.2993 | Dilute neutron matter on the lattice at next-to-leading order in chiral
effective field theory | We discuss lattice simulations of the ground state of dilute neutron matter
at next-to-leading order in chiral effective field theory. In a previous paper
the coefficients of the next-to-leading-order lattice action were determined by
matching nucleon-nucleon scattering data for momenta up to the pion mass. Here
the same lattice action is used to simulate the ground state of up to 12
neutrons in a periodic cube using Monte Carlo. We explore the density range
from 2% to 8% of normal nuclear density and analyze the ground state energy as
an expansion about the unitarity limit with corrections due to finite
scattering length, effective range, and P-wave interactions.
| nucl-th astro-ph hep-lat | we discuss lattice simulations of the ground state of dilute neutron matter at nexttoleading order in chiral effective field theory in a previous paper the coefficients of the nexttoleadingorder lattice action were determined by matching nucleonnucleon scattering data for momenta up to the pion mass here the same lattice action is used to simulate the ground state of up to 12 neutrons in a periodic cube using monte carlo we explore the density range from 2 to 8 of normal nuclear density and analyze the ground state energy as an expansion about the unitarity limit with corrections due to finite scattering length effective range and pwave interactions | [['we', 'discuss', 'lattice', 'simulations', 'of', 'the', 'ground', 'state', 'of', 'dilute', 'neutron', 'matter', 'at', 'nexttoleading', 'order', 'in', 'chiral', 'effective', 'field', 'theory', 'in', 'a', 'previous', 'paper', 'the', 'coefficients', 'of', 'the', 'nexttoleadingorder', 'lattice', 'action', 'were', 'determined', 'by', 'matching', 'nucleonnucleon', 'scattering', 'data', 'for', 'momenta', 'up', 'to', 'the', 'pion', 'mass', 'here', 'the', 'same', 'lattice', 'action', 'is', 'used', 'to', 'simulate', 'the', 'ground', 'state', 'of', 'up', 'to', '12', 'neutrons', 'in', 'a', 'periodic', 'cube', 'using', 'monte', 'carlo', 'we', 'explore', 'the', 'density', 'range', 'from', '2', 'to', '8', 'of', 'normal', 'nuclear', 'density', 'and', 'analyze', 'the', 'ground', 'state', 'energy', 'as', 'an', 'expansion', 'about', 'the', 'unitarity', 'limit', 'with', 'corrections', 'due', 'to', 'finite', 'scattering', 'length', 'effective', 'range', 'and', 'pwave', 'interactions']] | [-0.09310985276928153, 0.23234088450496707, -0.08569982684724399, 0.08286856902245363, -0.012273900332712681, -0.026694360952911392, 0.04797191743599686, 0.357206167827282, -0.23637193981035848, -0.30594593822133564, 0.043967299277580855, -0.3397178293823778, 0.01097363404381289, 0.09722722673605884, 0.08476405059831722, 0.10753723374071801, 0.03619707948484711, 0.0813222440682073, -0.12670253109291335, -0.22057138722516142, 0.3364188605440763, 0.06070287576571942, 0.22980504743667823, 0.11016807611161303, 0.07826895602417361, 0.06575127737379033, 0.02600251934621657, -0.03583792130523753, -0.17181496172882268, 0.08632264227092823, 0.2362144342123174, -0.046307700599117256, 0.1252536318008135, -0.4383611254498502, -0.18364771066459817, 0.07213744030238312, 0.1360929731070717, 0.18776088399447013, 0.0024094964838891385, -0.28248004737162147, 0.07253910928407561, -0.2562221787069167, -0.18529011172059678, -0.1221100353748999, 0.0006576869887012605, -0.010511354782627286, -0.2744391491140509, 0.07333938758896455, -0.05315923265825574, 0.05464190695539256, -0.07591693770035962, -0.15033204254702986, 0.01918185741214134, 0.08975461781760416, 0.06147603316028019, 0.09621465279259414, 0.11911438700224046, -0.18910114229526195, -0.11395856936540559, 0.4185936546701694, -0.08609870793928923, -0.11866254221607722, 0.15442439266175867, -0.17610261669800242, -0.07820389821046145, 0.19774579275704085, 0.17554007855322318, 0.09267153470367889, -0.16601607195650028, 0.11323678552577812, -0.010142596266624108, 0.2005323890463893, 0.0669219943424948, 0.010422692683125002, 0.1751869244448771, 0.16067305486649275, 0.0028473685678338336, 0.10577184692129632, -0.12903055147851042, -0.12530635513156374, -0.3135369724298122, -0.0813171396153831, -0.19389404191975004, 0.07090885535961836, -0.08461817297796179, -0.13147981773853024, 0.33389779139379755, 0.1716221068010918, 0.1975122048980861, 0.023145627143366314, 0.25967233615413865, 0.10955753176425209, 0.049103929656862375, 0.05724218013918323, 0.2391101909631637, 0.2008556295567079, 0.05633745030456475, -0.30502907050312195, -0.05644567783869733, 0.08802693411620839] |
712.2994 | Decay of scalar variance in isotropic turbulence in a bounded domain | The decay of scalar variance in isotropic turbulence in a bounded domain is
investigated. Extending the study of Touil, Bertoglio and Shao (2002; Journal
of Turbulence, 03, 49) to the case of a passive scalar, the effect of the
finite size of the domain on the lengthscales of turbulent eddies and scalar
structures is studied by truncating the infrared range of the wavenumber
spectra. Analytical arguments based on a simple model for the spectral
distributions show that the decay exponent for the variance of scalar
fluctuations is proportional to the ratio of the Kolmogorov constant to the
Corrsin-Obukhov constant. This result is verified by closure calculations in
which the Corrsin-Obukhov constant is artificially varied. Large-eddy
simulations provide support to the results and give an estimation of the value
of the decay exponent and of the scalar to velocity time scale ratio.
| physics.class-ph | the decay of scalar variance in isotropic turbulence in a bounded domain is investigated extending the study of touil bertoglio and shao 2002 journal of turbulence 03 49 to the case of a passive scalar the effect of the finite size of the domain on the lengthscales of turbulent eddies and scalar structures is studied by truncating the infrared range of the wavenumber spectra analytical arguments based on a simple model for the spectral distributions show that the decay exponent for the variance of scalar fluctuations is proportional to the ratio of the kolmogorov constant to the corrsinobukhov constant this result is verified by closure calculations in which the corrsinobukhov constant is artificially varied largeeddy simulations provide support to the results and give an estimation of the value of the decay exponent and of the scalar to velocity time scale ratio | [['the', 'decay', 'of', 'scalar', 'variance', 'in', 'isotropic', 'turbulence', 'in', 'a', 'bounded', 'domain', 'is', 'investigated', 'extending', 'the', 'study', 'of', 'touil', 'bertoglio', 'and', 'shao', '2002', 'journal', 'of', 'turbulence', '03', '49', 'to', 'the', 'case', 'of', 'a', 'passive', 'scalar', 'the', 'effect', 'of', 'the', 'finite', 'size', 'of', 'the', 'domain', 'on', 'the', 'lengthscales', 'of', 'turbulent', 'eddies', 'and', 'scalar', 'structures', 'is', 'studied', 'by', 'truncating', 'the', 'infrared', 'range', 'of', 'the', 'wavenumber', 'spectra', 'analytical', 'arguments', 'based', 'on', 'a', 'simple', 'model', 'for', 'the', 'spectral', 'distributions', 'show', 'that', 'the', 'decay', 'exponent', 'for', 'the', 'variance', 'of', 'scalar', 'fluctuations', 'is', 'proportional', 'to', 'the', 'ratio', 'of', 'the', 'kolmogorov', 'constant', 'to', 'the', 'corrsinobukhov', 'constant', 'this', 'result', 'is', 'verified', 'by', 'closure', 'calculations', 'in', 'which', 'the', 'corrsinobukhov', 'constant', 'is', 'artificially', 'varied', 'largeeddy', 'simulations', 'provide', 'support', 'to', 'the', 'results', 'and', 'give', 'an', 'estimation', 'of', 'the', 'value', 'of', 'the', 'decay', 'exponent', 'and', 'of', 'the', 'scalar', 'to', 'velocity', 'time', 'scale', 'ratio']] | [-0.1377127200983682, 0.16963681722508936, -0.08667153856261586, 0.058991750871361555, -0.046608999341787485, -0.06159207154656794, -0.006743472400903158, 0.28434873154101364, -0.2501348326931007, -0.28713734570999433, 0.08897143957820333, -0.24302320764909913, -0.06898586666143507, 0.19447906730852912, 0.02433664283042189, 0.06082480202299835, -0.008885317366488659, 0.012548213054971552, -0.01921122073600354, -0.2176503944244698, 0.33147686856703656, 0.10199637827973296, 0.2710205562630274, 0.0664168818697442, 0.06497877935477853, -0.06124942394204601, -0.0779769000372965, 0.019548803431926852, -0.21178270505434693, 0.07505360491451447, 0.1464979328813344, 0.050531921697522166, 0.2627855964356789, -0.35571497797721274, -0.23091009845549282, 0.0814311684544341, 0.15193198431949437, 0.052883912957898835, -0.011519820776081434, -0.26529898896242365, 0.12635564236786134, -0.13370446588361404, -0.14479678597328435, -0.013039328701739763, 0.05643185283852755, 0.02128523688280724, -0.31323846969345626, 0.14780496084641148, 0.048945462582700876, 0.08357367863878395, -0.08280177640917297, -0.10203153887818003, 0.005970426583594649, 0.0817689995466643, 0.11610901533595429, 0.011794160743903395, 0.14194043569715462, -0.14735812984617686, -0.08124217141273493, 0.3619072707301944, -0.12328803864899125, -0.21197125603900338, 0.12723264923611532, -0.16871032370322378, -0.037304912486460305, 0.15696039605277326, 0.1677731053893502, 0.09504291421545152, -0.07929315882306683, 0.12868035380578988, -0.051120242555999625, 0.20947865827729667, 0.046296059480276854, -0.0057649349922953294, 0.12485229244020625, 0.13472409104167002, 0.031220196085186662, 0.1297709471665078, -0.10238013934874296, -0.11406913760328924, -0.3124492735496593, -0.14489150885492563, -0.22529638873202468, 0.05685441812371196, -0.14791694675686082, -0.18620513879564882, 0.3958156072147136, 0.10357639138641203, 0.21098889012474323, 0.10274496743282181, 0.28164205781734775, 0.1551816722541286, 0.0359968057558294, 0.09035861440832271, 0.27658461616204605, 0.19247972699779556, 0.13157286608496505, -0.2520799900160382, 0.02825049913563106, 0.05960093089411236] |
712.2995 | Note sur la conjecture de Leopoldt | We prove that number fields with arbitrary degree but weak ramification
satisfy the Leopoldt conjecture on the l-adic rank of the group of units
| math.NT | we prove that number fields with arbitrary degree but weak ramification satisfy the leopoldt conjecture on the ladic rank of the group of units | [['we', 'prove', 'that', 'number', 'fields', 'with', 'arbitrary', 'degree', 'but', 'weak', 'ramification', 'satisfy', 'the', 'leopoldt', 'conjecture', 'on', 'the', 'ladic', 'rank', 'of', 'the', 'group', 'of', 'units']] | [-0.29704998739180155, 0.12407421934767626, -0.08245491321819524, 0.035810507678737245, -0.11659360713868712, -0.1792615531788518, 0.0066085859046628075, 0.25651280566429097, -0.30692117956156534, -0.29413561123268056, 0.05625731985007102, -0.16180274960546134, -0.11334659855735178, 0.18843840862003466, -0.11697688593994826, -0.04470007317528749, 0.0005767558177467436, 0.20684180897660553, 0.004238706363442664, -0.4497766789669792, 0.42777256698658067, -0.09964621346443892, 0.26334884219492477, 0.06097776268143207, 0.13306487425385663, 0.08668475821226214, 0.036610120752205454, -0.011962855778013667, -0.08279311654193104, 0.15037607899284922, 0.26007266032199067, 0.06635296757061344, 0.20748139560843507, -0.4300070508227994, -0.13229599654247673, 0.2740732915699482, 0.016705130188105006, 0.01684289965487551, -0.004800004297673392, -0.23601377386755, 0.19135524914599955, -0.13290353695204735, -0.24576660187449306, -0.07275739548883091, 0.028585050046482745, 0.1142280800268054, -0.2645197130041197, 0.05390453862491995, 0.07792569881712552, 0.23384844996811202, -0.047729553877919294, -0.12706084995685765, -0.03465099291255077, 0.037487281913248204, 0.07094876320722203, -0.0005850596935488284, 0.07435912392490233, -0.13147650426253676, -0.07219317912434538, 0.30913739612636465, -0.02998293408503135, -0.16272845026105642, 0.1430801386013627, -0.22334802150726318, -0.24747849088938287, 0.07213804886365931, 0.07297425069070111, 0.0857489243899181, 0.11804889825483163, 0.22090515975529948, -0.21159066135684648, 0.17638821713626385, 0.15220932468461493, 0.03010292787803337, 0.10286664279798667, -0.030391268936606746, 0.1166529362866034, 0.09364215018770967, 0.0020613107384027294, 0.04328823291386167, -0.3538117616747816, -0.2221817165846005, -0.12806014581777467, 0.13958773742585132, -0.1460133533886013, -0.1809125036622087, 0.3836913397535682, 0.14251766567273685, 0.1426251482528945, 0.25977435634316254, 0.19249001145362854, 0.10177783920274426, 0.10284996362558256, 0.0748430829650412, 0.11745295533910394, 0.2838651027996093, -0.07444324482154722, -0.1293788959737867, 0.019417260269013543, 0.23986217007040977] |
712.2996 | A general Lagrange Theorem | The ordinary continued fractions expansion of a real number is based on the
Euclidean division. Variants of the latter yield variants of the former, all
encompassed by a more general Dynamical Systems framework. For all these
variants the Lagrange Theorem holds: a number has an eventually periodic
expansion if and only if it is a quadratic irrational. This fact is surely
known for specific expansions, but the only proof for the general case that I
could trace in the literature follows as an implicit corollary from much deeper
results by Boshernitzan and Carroll on interval exchange transformations. It
may then be useful to have at hand a simple and virtually computation-free
proof of a general Lagrange Theorem.
| math.NT math.DS | the ordinary continued fractions expansion of a real number is based on the euclidean division variants of the latter yield variants of the former all encompassed by a more general dynamical systems framework for all these variants the lagrange theorem holds a number has an eventually periodic expansion if and only if it is a quadratic irrational this fact is surely known for specific expansions but the only proof for the general case that i could trace in the literature follows as an implicit corollary from much deeper results by boshernitzan and carroll on interval exchange transformations it may then be useful to have at hand a simple and virtually computationfree proof of a general lagrange theorem | [['the', 'ordinary', 'continued', 'fractions', 'expansion', 'of', 'a', 'real', 'number', 'is', 'based', 'on', 'the', 'euclidean', 'division', 'variants', 'of', 'the', 'latter', 'yield', 'variants', 'of', 'the', 'former', 'all', 'encompassed', 'by', 'a', 'more', 'general', 'dynamical', 'systems', 'framework', 'for', 'all', 'these', 'variants', 'the', 'lagrange', 'theorem', 'holds', 'a', 'number', 'has', 'an', 'eventually', 'periodic', 'expansion', 'if', 'and', 'only', 'if', 'it', 'is', 'a', 'quadratic', 'irrational', 'this', 'fact', 'is', 'surely', 'known', 'for', 'specific', 'expansions', 'but', 'the', 'only', 'proof', 'for', 'the', 'general', 'case', 'that', 'i', 'could', 'trace', 'in', 'the', 'literature', 'follows', 'as', 'an', 'implicit', 'corollary', 'from', 'much', 'deeper', 'results', 'by', 'boshernitzan', 'and', 'carroll', 'on', 'interval', 'exchange', 'transformations', 'it', 'may', 'then', 'be', 'useful', 'to', 'have', 'at', 'hand', 'a', 'simple', 'and', 'virtually', 'computationfree', 'proof', 'of', 'a', 'general', 'lagrange', 'theorem']] | [-0.10393800551537424, 0.09869459268868837, -0.13078780209199867, 0.09736045411963047, -0.09914191879937027, -0.14372132820550862, 0.05413205306539232, 0.30291554962810224, -0.2805232131121378, -0.23184674772788158, 0.1533838432813541, -0.24506130002630064, -0.1632079169070587, 0.2561030310745805, -0.07835179876981892, -0.03066906990069482, 0.042359195827729366, 0.08557805725864362, -0.05403544596877968, -0.29412916900876623, 0.29590196086444026, 0.010855851718821587, 0.20836012905988938, 0.05198291311852443, 0.09613616989814064, 0.0457942820369051, -0.01456634448761614, 0.030527698810403354, -0.10522760509576252, 0.07820520048779953, 0.2133735539431437, 0.12585584515244022, 0.2859465645419227, -0.3623664733340852, -0.18343495169224647, 0.1436816978230515, 0.16543845331662485, 0.10389803601906468, -0.051722517459574714, -0.22342345067379502, 0.0943464487681611, -0.1563306582184174, -0.15206671496614432, -0.08817306966182545, 0.0680664020160643, 0.01664335885220486, -0.26594221357924813, 0.06204046887886894, 0.13158643519745655, 0.05150564408932741, -0.03631354966519289, -0.12047823701296638, -0.004998205908231883, 0.08779985847699846, 0.043224923664895006, 0.02675269205823668, 0.06866314305135837, -0.06322745918137077, -0.0969363662153562, 0.3891813780825872, -0.033309450135247894, -0.2182623467877762, 0.20842233512940633, -0.13434217422086203, -0.18442461645612732, 0.10783719258287396, 0.09409380429543746, 0.1467383303719326, -0.138436486853016, 0.12360777967643295, -0.11007793254266755, 0.1447464351922385, 0.1121369213757352, 0.005660789140647389, 0.16670957232355818, 0.0711660772904308, 0.1035309170330994, 0.10776205509841347, 0.029280601292211786, -0.11323672479703131, -0.3191814059819469, -0.17442385586074147, -0.18280110167713565, 0.07309636802703111, -0.12164625849410131, -0.17891033503234896, 0.3512970098477398, 0.07103833313705499, 0.14503973687433788, 0.10287483903563494, 0.2916475602059474, 0.1566024769214977, 0.08161409940713873, 0.06520179585497986, 0.20584872191668385, 0.1324428434495647, 0.06786476685386947, -0.12305014710435565, 0.06355587900098827, 0.14368391984229922] |
712.2997 | Plongements l-adiques et l-nombres de Weil | We define l-adic analogs of classical Weil numbers in connexion both with
complex or l-adic imbeddings of number fields and real or l-adic absolute
values. As an application we give some consequences related to the Iwasawa
theory of cyclotomic towers.
| math.NT | we define ladic analogs of classical weil numbers in connexion both with complex or ladic imbeddings of number fields and real or ladic absolute values as an application we give some consequences related to the iwasawa theory of cyclotomic towers | [['we', 'define', 'ladic', 'analogs', 'of', 'classical', 'weil', 'numbers', 'in', 'connexion', 'both', 'with', 'complex', 'or', 'ladic', 'imbeddings', 'of', 'number', 'fields', 'and', 'real', 'or', 'ladic', 'absolute', 'values', 'as', 'an', 'application', 'we', 'give', 'some', 'consequences', 'related', 'to', 'the', 'iwasawa', 'theory', 'of', 'cyclotomic', 'towers']] | [-0.22897978130495175, 0.11315193659138459, -0.12495797647861764, 0.13368752268142997, -0.18074441370554267, -0.061638380587100985, -0.028371342658647335, 0.2286280552390963, -0.3329816797748208, -0.28096892395988105, 0.09515103865414858, -0.17917693415656685, -0.21042525694938377, 0.26593391679925843, -0.17712882210034878, -0.010968149095060654, -0.05235448735184036, 0.17119529695482924, -0.04762617687229067, -0.35332084000110625, 0.42745776727097107, -0.08977904818020761, 0.1764990678988397, 0.001090758037753403, 0.03761639647418633, 0.04266434697201475, 0.048290095903212205, -0.12418647790327668, -0.13722540652379395, 0.16131041017360986, 0.3540919126593508, 0.05901674354681745, 0.20005849248263985, -0.4325900192372501, -0.07965600652387365, 0.28344167112372814, 0.08230337036075071, -0.02471693754196167, -0.007868082205823157, -0.27036615563556554, 0.08696906606201082, -0.17943359307246282, -0.22288493858650327, -0.14143281073775144, 0.03955790306208655, 0.10424451637081802, -0.23173273289576174, 0.017787441750988363, 0.01615525376109872, 0.3017082807142287, -0.14999083990696818, -0.21728477575816213, 0.015318530122749507, 0.07656776286894455, 0.07137469910085201, -0.04635441532591358, 0.12739394980017096, -0.1299600973026827, -0.18628419199958443, 0.3849239399656653, -0.08220513093983754, -0.17620739683043213, 0.17337530308868737, -0.15794560860376805, -0.14799691354855896, 0.0644580153748393, 0.049176700646057725, 0.09979608459834707, 0.12910827512387185, 0.1801600310471258, -0.13246891570743174, 0.033630092069506644, 0.13537879067007452, 0.0595389281399548, 0.13824903905042446, -0.01981011943425983, 0.002613005437888205, 0.1450417684391141, 3.937188303098083e-05, -0.06673246819991618, -0.36742269434034824, -0.2864460630342364, -0.09635784660931676, 0.1847947727655992, -0.0941106547597883, -0.22811056887730957, 0.35822140029631555, 0.14917859263223363, 0.20284734957385808, 0.1746532320510596, 0.233562766193063, 0.07644751597836148, 0.05383995695738122, -0.03757826397195459, 0.06310249662856222, 0.34143911227583884, -0.015328560350462794, -0.0843594326695893, -0.08874180277343839, 0.2292739959200844] |
712.2998 | Compactification l-adique de R | We construct a compact topological group Rl which contains both the real
additive group R and the l-adic one Ql (for a given prime number l) as dense
subgroups; thus we study some of its properties. This construction gives an
arithmetic description of the so-called l-adic solenoid classically defined in
terms of foliations.
| math.NT | we construct a compact topological group rl which contains both the real additive group r and the ladic one ql for a given prime number l as dense subgroups thus we study some of its properties this construction gives an arithmetic description of the socalled ladic solenoid classically defined in terms of foliations | [['we', 'construct', 'a', 'compact', 'topological', 'group', 'rl', 'which', 'contains', 'both', 'the', 'real', 'additive', 'group', 'r', 'and', 'the', 'ladic', 'one', 'ql', 'for', 'a', 'given', 'prime', 'number', 'l', 'as', 'dense', 'subgroups', 'thus', 'we', 'study', 'some', 'of', 'its', 'properties', 'this', 'construction', 'gives', 'an', 'arithmetic', 'description', 'of', 'the', 'socalled', 'ladic', 'solenoid', 'classically', 'defined', 'in', 'terms', 'of', 'foliations']] | [-0.2557006836780962, 0.07788196238299243, -0.1170889515394591, 0.0776465339915616, -0.10021612597058334, -0.1136872375225824, -0.011925681230594527, 0.2826188355332838, -0.29698338831405874, -0.25171810455339133, 0.0861323221634968, -0.2235587014342254, -0.13857203483019234, 0.23484302656549327, -0.1270843595969227, -0.02077156695084787, -0.029775231031103515, 0.1388077345536143, -0.08775505398066258, -0.27231429468067186, 0.361880732594796, -0.047813896230369246, 0.18486409944060417, -0.04396071852588991, 0.0938066362517552, 0.025927509594146372, -0.021095903098302067, -0.008219871318565225, -0.12512651860784246, 0.13969774625070816, 0.3187060980301983, 0.07167586870491505, 0.22804719909041557, -0.3566901539540235, -0.14832156610989258, 0.1917851906586087, 0.10431685166890328, -0.015196986384426226, -0.037717615728670696, -0.27705259410277855, 0.14120592597766585, -0.2011044177903249, -0.15643809417719548, -0.10173304981710214, 0.07954725433351859, 0.005046674707148857, -0.19725945749197085, -0.055365565970961775, 0.11500845122028072, 0.1646318042404809, -0.030987816495943885, -0.09380968125923625, 0.008968337553219413, 0.09849299968413587, -0.01079848753112667, 0.04980939865235309, 0.13087864872946772, -0.11982906898780163, -0.11352356334375042, 0.3996627746887927, -0.05736263105557915, -0.21767764434851003, 0.16526576859068196, -0.16921243463414457, -0.16666370234891492, 0.09817983637968043, 0.09007796446599488, 0.11088148128452166, -0.039525143529798065, 0.20485488539627525, -0.15959548781502922, 0.1153760996629607, 0.04556478129453816, 0.06420776341110468, 0.12791136349990684, 0.1352335483885704, 0.0555909898588961, 0.16375065361202326, 0.00016058560566238638, -0.008573974979127635, -0.4024535588094227, -0.21525738713878453, -0.1353375910482598, 0.13214491219874822, -0.09424562660844356, -0.25721888131690474, 0.4267522805493395, 0.04721764875751621, 0.19410760384404435, 0.1252719072893016, 0.24904977802608935, 0.05083048715528522, 0.043566600287790004, 0.0879328270477928, 0.06547704515901816, 0.22309761464525507, -0.084187626118227, -0.15398137953202679, -0.05044624344709347, 0.17333528608575743] |
712.2999 | Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution
Amplitude | We calculate the $O(\alpha_s)$ and $O(\alpha_s^2)$ gluon radiative
corrections to the QCD sum rule for the first Gegenbauer moment $a_1^K$ of the
kaon light-cone distribution amplitude. The NNL0 accuracy is achieved for the
perturbative term and quark-condensate contributions to the sum rule. A
complete factorization is implemented, removing logarithms of $s$-quark mass
from the coefficients in the operator-product expansion. The sum rule with
radiative corrections yields $a_1^K(1 \GeV)=0.10\pm 0.04$.
| hep-ph | we calculate the oalpha_s and oalpha_s2 gluon radiative corrections to the qcd sum rule for the first gegenbauer moment a_1k of the kaon lightcone distribution amplitude the nnl0 accuracy is achieved for the perturbative term and quarkcondensate contributions to the sum rule a complete factorization is implemented removing logarithms of squark mass from the coefficients in the operatorproduct expansion the sum rule with radiative corrections yields a_1k1 gev010pm 004 | [['we', 'calculate', 'the', 'oalpha_s', 'and', 'oalpha_s2', 'gluon', 'radiative', 'corrections', 'to', 'the', 'qcd', 'sum', 'rule', 'for', 'the', 'first', 'gegenbauer', 'moment', 'a_1k', 'of', 'the', 'kaon', 'lightcone', 'distribution', 'amplitude', 'the', 'nnl0', 'accuracy', 'is', 'achieved', 'for', 'the', 'perturbative', 'term', 'and', 'quarkcondensate', 'contributions', 'to', 'the', 'sum', 'rule', 'a', 'complete', 'factorization', 'is', 'implemented', 'removing', 'logarithms', 'of', 'squark', 'mass', 'from', 'the', 'coefficients', 'in', 'the', 'operatorproduct', 'expansion', 'the', 'sum', 'rule', 'with', 'radiative', 'corrections', 'yields', 'a_1k1', 'gev010pm', '004']] | [-0.1029966592887473, 0.1325732656810997, -0.11250372778511408, 0.13521065655037423, -0.07768152414284872, -0.012987359843188615, 0.11208523714749115, 0.3062664502949426, -0.20330340036360378, -0.16400917009873825, 0.00677583238046447, -0.33379326639414736, 0.03142365298205704, 0.07427389502073779, 0.09542441132450194, 0.09334562245445947, 0.08219349776944992, -0.011848885848215132, -0.10791610451424001, -0.2360102444971827, 0.32258499859634676, 0.04477327606362065, 0.18515323405859596, 0.197346040774419, 0.07020150769897031, 0.018241416708792025, -0.13015775639338023, -0.10940354352704051, -0.11651666550967617, 0.037109808377201924, 0.17658177718068613, 0.031084731743304117, 0.09913074774455956, -0.2972290800887894, -0.06258741955301075, 0.08451202144902764, 0.16965115952277274, 0.08091727982867848, 0.086979910082212, -0.1942948424539557, 0.06446661052265854, -0.2925587556974003, -0.14221409900170384, -0.1737734328983634, -0.029185677134206122, -0.07616910027960937, -0.45469809662212024, 0.13899607493570357, -0.018142946233803577, -0.04674082098415855, 0.03793305370632107, -0.28397429045854194, 0.01294754479771875, 0.08499941022389314, 0.11219588393049146, 0.09226392481165628, 0.123910139801658, -0.21008857664172398, -0.15912689236839386, 0.4649687976096616, -0.10449764514553615, -0.17029375744151007, -0.059073893219289006, -0.2108405144377188, -0.12380825192667544, 0.18984882573060918, 0.1526606096180551, 0.1407493094946293, -0.17801943895491687, 0.12851683247770945, 0.0523253977722065, 0.12705741802964246, 0.11640781193802302, 0.047821447690666624, 0.18516106989629794, 0.06535322248766368, -0.07326612601790464, 0.10699932154437358, -0.06530190991576422, -0.13634991136407762, -0.42991440791185154, -0.06874524766692158, -0.13651790966590246, 0.09749515532431277, -0.18416856577801588, -0.15838030994531105, 0.3324055556264339, 0.0833603233860975, 0.1990247965176505, 0.1403807756547449, 0.37654976025012066, 0.22724979136590706, 0.13957982832763458, 0.06039707828313112, 0.2963858205281819, 0.2137909675383884, 0.08215916407690119, -0.3428715534726948, -0.03064211377535354, 0.2347410010653689] |
712.3 | Neutrino oscillation signatures of oxygen-neon-magnesium supernovae | We discuss the flavor conversion of neutrinos from core collapse supernovae
that have oxygen-neon-magnesium (ONeMg) cores. Using the numerically calculated
evolution of the star up to 650 ms post bounce, we find that, for the normal
mass hierarchy, the electron neutrino flux in a detector shows signatures of
two typical features of an ONeMg-core supernova: a sharp step in the density
profile at the base of the He shell and a faster shock wave propagation
compared to iron core supernovae. Before the shock hits the density step (t ~
150 ms), the survival probability of electron neutrinos is about 0.68, in
contrast to values of 0.32 or less for an iron core supernova. The passage of
the shock through the step and its subsequent propagation cause a decrease of
the survival probability and a decrease of the amplitude of oscillations in the
Earth, reflecting the transition to a more adiabatic propagation inside the
star. These changes affect the lower energy neutrinos first; they are faster
and more sizable for larger theta_13. They are unique of ONeMg-core supernovae,
and give the possibility to test the speed of the shock wave. The time
modulation of the Earth effect and its negative sign at the neutronization peak
are the most robust signatures in a detector.
| astro-ph hep-ph | we discuss the flavor conversion of neutrinos from core collapse supernovae that have oxygenneonmagnesium onemg cores using the numerically calculated evolution of the star up to 650 ms post bounce we find that for the normal mass hierarchy the electron neutrino flux in a detector shows signatures of two typical features of an onemgcore supernova a sharp step in the density profile at the base of the he shell and a faster shock wave propagation compared to iron core supernovae before the shock hits the density step t 150 ms the survival probability of electron neutrinos is about 068 in contrast to values of 032 or less for an iron core supernova the passage of the shock through the step and its subsequent propagation cause a decrease of the survival probability and a decrease of the amplitude of oscillations in the earth reflecting the transition to a more adiabatic propagation inside the star these changes affect the lower energy neutrinos first they are faster and more sizable for larger theta_13 they are unique of onemgcore supernovae and give the possibility to test the speed of the shock wave the time modulation of the earth effect and its negative sign at the neutronization peak are the most robust signatures in a detector | [['we', 'discuss', 'the', 'flavor', 'conversion', 'of', 'neutrinos', 'from', 'core', 'collapse', 'supernovae', 'that', 'have', 'oxygenneonmagnesium', 'onemg', 'cores', 'using', 'the', 'numerically', 'calculated', 'evolution', 'of', 'the', 'star', 'up', 'to', '650', 'ms', 'post', 'bounce', 'we', 'find', 'that', 'for', 'the', 'normal', 'mass', 'hierarchy', 'the', 'electron', 'neutrino', 'flux', 'in', 'a', 'detector', 'shows', 'signatures', 'of', 'two', 'typical', 'features', 'of', 'an', 'onemgcore', 'supernova', 'a', 'sharp', 'step', 'in', 'the', 'density', 'profile', 'at', 'the', 'base', 'of', 'the', 'he', 'shell', 'and', 'a', 'faster', 'shock', 'wave', 'propagation', 'compared', 'to', 'iron', 'core', 'supernovae', 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'earth', 'effect', 'and', 'its', 'negative', 'sign', 'at', 'the', 'neutronization', 'peak', 'are', 'the', 'most', 'robust', 'signatures', 'in', 'a', 'detector']] | [-0.09477202764323855, 0.19248083995319173, -0.04890893105752943, 0.12703907428258562, -0.057434672369484865, -0.0674560221146033, 0.08275011583822846, 0.3603245752435442, -0.22928921258909035, -0.30749086754935046, 0.06702582780806948, -0.3156164664007123, -0.018164734969630624, 0.1780840213779113, 0.051470848626764196, -0.008567756229955857, 0.08594484442196151, 0.041573938591432234, -0.13025837064162338, -0.19899450285333734, 0.28961384350266217, 0.12248123147176199, 0.2384713040907554, 0.038455849926106594, 0.05689995407217328, -0.10306498272812338, -0.00891893351079799, -0.07598238051273105, -0.10016069480083371, 0.008138981093609787, 0.16316462245560692, 0.14792516837293784, 0.2236986501336592, -0.4605944818283003, -0.22691908217271375, 0.09317294874016673, 0.16389664852885769, 0.09522173261508275, 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712.3001 | Onset of Deconfinement in Nucleus-Nucleus Collisions - Past, Present and
Future - | In 2007 Mark I. Gorenstein celebrated his 60th birthday. This report is
dedicated to Mark and it sketches the results obtained during the past ten
years of our collaboration and friendship. They concern search for and study of
the onset of deconfinement in high energy nucleus-nucleus collisions.
| nucl-th | in 2007 mark i gorenstein celebrated his 60th birthday this report is dedicated to mark and it sketches the results obtained during the past ten years of our collaboration and friendship they concern search for and study of the onset of deconfinement in high energy nucleusnucleus collisions | [['in', '2007', 'mark', 'i', 'gorenstein', 'celebrated', 'his', '60th', 'birthday', 'this', 'report', 'is', 'dedicated', 'to', 'mark', 'and', 'it', 'sketches', 'the', 'results', 'obtained', 'during', 'the', 'past', 'ten', 'years', 'of', 'our', 'collaboration', 'and', 'friendship', 'they', 'concern', 'search', 'for', 'and', 'study', 'of', 'the', 'onset', 'of', 'deconfinement', 'in', 'high', 'energy', 'nucleusnucleus', 'collisions']] | [-0.07456937071649318, 0.08168637206619407, -0.12800560985751291, 0.0766217924203684, -0.03737786610392814, -0.11428767347589452, 0.035834007272298664, 0.31962707020500875, -0.1764331835698574, -0.340084544521697, 0.1113932022299776, -0.34140723246209165, -0.11463250322861875, 0.14155822631189638, -0.10150634720698594, 0.010739177723038704, 0.1352969634723156, 0.03788503560614079, 0.008562212044551492, -0.3919142067353142, 0.2863479153788153, 0.155920059717399, 0.25704850686436637, 0.16092124063164948, 0.03794691169713723, 0.07008396132175435, -0.11995767169889618, -0.06067431557606509, -0.17145623530241402, 0.06552344918847976, 0.31025780737400055, 0.16437593068769005, 0.28794242237555856, -0.39655521080056405, -0.12281995435106627, 0.11109507920101602, 0.04312807206619293, 0.08918698339604159, -0.05713588218613369, -0.32847652734911187, 0.05698898268189836, -0.19816612860465305, -0.1437953768615076, 0.014878099127870767, 0.07853860265397011, 0.025695374032403243, -0.16295514913632514, 0.08639766864399327, 0.05450371411094006, 0.12125238605794754, -0.005887774205667541, -0.1239955299236673, 0.013170892212965942, 0.08936488879051932, 0.05169113059131865, 0.08857733725094573, 0.08214941672346693, -0.13812253159777996, -0.1771711847804328, 0.33514258725211976, 0.032527393839777784, 0.0572156598097942, 0.19044319721201355, -0.21066101654333638, -0.17723417724235022, 0.0968345936902977, 0.17456817248479484, 0.1223526287110562, -0.12681546171711006, 0.0077977866154817985, -0.06643926226434872, 0.09017657670885959, 0.14998291878703426, -0.017668739516050257, 0.2061646773697848, 0.18972304211731286, -0.0383918263374808, 0.08472847188030311, -0.0486383448414346, -0.08043264901820332, -0.29143548043484385, -0.17276143285624207, -0.17671657329861154, 0.05140147590514352, 0.008252278942196194, -0.05701405297409981, 0.4256977878035383, 0.16334972502861886, 0.19014461942888955, -0.00954794059408472, 0.21175585191776145, 0.0006427046709119323, -0.0002487435580251065, 0.07685986912730051, 0.2992515486734424, 0.11642431001908993, 0.3013944073401867, -0.15526862286942753, 0.039022237062454224, 0.14257073465813982] |
712.3002 | Collisions of bright solitary matter waves | The collisions of three-dimensional bright solitary matter waves formed from
atomic Bose-Einstein condensates are shown to exhibit rich behaviour.
Collisions range from being elastic to completely destructive due to the onset
of collapse during the interaction. Through a detailed quantitative analysis we
map out the role of relative phase, impact speed and interaction strength. In
particular, we identify the importance of the collapse time in the onset of
unstable collisions and show how the relative phase controls a population
transfer between the waves. Our analysis enables us to interpret recent
experimental observations of bright solitary matter waves.
| cond-mat.other | the collisions of threedimensional bright solitary matter waves formed from atomic boseeinstein condensates are shown to exhibit rich behaviour collisions range from being elastic to completely destructive due to the onset of collapse during the interaction through a detailed quantitative analysis we map out the role of relative phase impact speed and interaction strength in particular we identify the importance of the collapse time in the onset of unstable collisions and show how the relative phase controls a population transfer between the waves our analysis enables us to interpret recent experimental observations of bright solitary matter waves | [['the', 'collisions', 'of', 'threedimensional', 'bright', 'solitary', 'matter', 'waves', 'formed', 'from', 'atomic', 'boseeinstein', 'condensates', 'are', 'shown', 'to', 'exhibit', 'rich', 'behaviour', 'collisions', 'range', 'from', 'being', 'elastic', 'to', 'completely', 'destructive', 'due', 'to', 'the', 'onset', 'of', 'collapse', 'during', 'the', 'interaction', 'through', 'a', 'detailed', 'quantitative', 'analysis', 'we', 'map', 'out', 'the', 'role', 'of', 'relative', 'phase', 'impact', 'speed', 'and', 'interaction', 'strength', 'in', 'particular', 'we', 'identify', 'the', 'importance', 'of', 'the', 'collapse', 'time', 'in', 'the', 'onset', 'of', 'unstable', 'collisions', 'and', 'show', 'how', 'the', 'relative', 'phase', 'controls', 'a', 'population', 'transfer', 'between', 'the', 'waves', 'our', 'analysis', 'enables', 'us', 'to', 'interpret', 'recent', 'experimental', 'observations', 'of', 'bright', 'solitary', 'matter', 'waves']] | [-0.16035364866952806, 0.16995235051498891, -0.1380041358397179, 0.08452031529057272, -0.051681845996183216, -0.03175114416853361, 0.019524479016047164, 0.33794287987744687, -0.25273075688284696, -0.30116775190246475, 0.0245010672766024, -0.2969984848378706, -0.12830253220019266, 0.1492994633964119, 0.06768599411319058, 0.02376940729067728, 0.09189359967587228, -0.02191135983376466, -0.02795429456710201, -0.15306890442410542, 0.33401880764700087, 0.08482915778721194, 0.2772585819331334, 0.08015286716027666, 0.034781299099402946, -0.01330806280860735, -0.01551569098685916, -0.03377524916485874, -0.15352591091152473, 0.030266716959586215, 0.23309534849699817, 0.06623617158338581, 0.2299846075619235, -0.47259085602367046, -0.22624885394554778, 0.1299326446809873, 0.18110444783365123, 0.17108786042261215, -0.0791659493178739, -0.3355400874519471, -0.004948738400737957, -0.16179604612809328, -0.1689353669830358, -0.05438482813229881, 0.0651203226778157, 0.08279550476863827, -0.23346257968277662, 0.14170818816217565, 0.032182749774404225, 0.036446714317714124, -0.08265927505016941, 0.0012642062970043457, -0.07745926562197429, 0.08723482881317433, 0.06988039737586509, 0.003939153436936208, 0.14329851536829138, -0.14826041457036837, -0.037569316401093546, 0.39589434696995107, -0.05943141412710022, -0.06868466188574267, 0.27538324631606564, -0.17905456666863456, -0.052357696904080736, 0.2126350635374637, 0.22319015310885212, 0.087086375116265, -0.06358432770735517, -0.03974903751399906, 0.02527527550845071, 0.20157588728746764, 0.11087129886751783, 0.05425777098586418, 0.2878845117256506, 0.20298586735506685, -0.030372854254986207, 0.15847958315202257, -0.11521018941685096, -0.1407921826754956, -0.2920264752975367, -0.0960214368077283, -0.10468045485772423, 0.010830275639987638, -0.043869410444365466, -0.12250260995867777, 0.382264825803487, 0.18983018324235165, 0.21933811284678498, -0.04194421816578845, 0.25440489344260436, 0.0575170161012925, 0.008551995269954205, 0.032232751551362654, 0.35125061103440436, 0.19733563268115534, 0.13695906530873678, -0.28082790916075107, 0.03797096933943901, 0.004244354467109307] |
712.3003 | Faithful Effective-One-Body waveforms of equal-mass coalescing
black-hole binaries | We continue the program of constructing, within the Effective-One-Body (EOB)
approach, high-accuracy analytic waveforms describing the signal emitted by
inspiralling and coalescing black hole binaries. Here, we compare a recently
derived, resummed 3 PN-accurate EOB quadrupolar waveform to the results of a
numerical simulation of the inspiral and merger of an equal-mass black hole
binary. We find a remarkable agreement, both in phase and in amplitude, with a
maximal dephasing which can be reduced below $\pm 0.005$ gravitational-wave
(GW) cycles over 12 GW cycles corresponding to the end of the inspiral, the
plunge, the merger and the beginning of the ringdown. This level of agreement
is shown for two different values of the effective 4 PN parameter a_5, and for
corresponding, appropriately "flexed" values of the radiation-reaction
resummation parameter v_pole. In addition, our resummed EOB amplitude agrees to
better than the 1% level with the numerical-relativity one up to the late
inspiral. These results, together with other recent work on the
EOB-numerical-relativity comparison, confirm the ability of the EOB formalism
to faithfully capture the general relativistic waveforms.
| gr-qc | we continue the program of constructing within the effectiveonebody eob approach highaccuracy analytic waveforms describing the signal emitted by inspiralling and coalescing black hole binaries here we compare a recently derived resummed 3 pnaccurate eob quadrupolar waveform to the results of a numerical simulation of the inspiral and merger of an equalmass black hole binary we find a remarkable agreement both in phase and in amplitude with a maximal dephasing which can be reduced below pm 0005 gravitationalwave gw cycles over 12 gw cycles corresponding to the end of the inspiral the plunge the merger and the beginning of the ringdown this level of agreement is shown for two different values of the effective 4 pn parameter a_5 and for corresponding appropriately flexed values of the radiationreaction resummation parameter v_pole in addition our resummed eob amplitude agrees to better than the 1 level with the numericalrelativity one up to the late inspiral these results together with other recent work on the eobnumericalrelativity comparison confirm the ability of the eob formalism to faithfully capture the general relativistic waveforms | [['we', 'continue', 'the', 'program', 'of', 'constructing', 'within', 'the', 'effectiveonebody', 'eob', 'approach', 'highaccuracy', 'analytic', 'waveforms', 'describing', 'the', 'signal', 'emitted', 'by', 'inspiralling', 'and', 'coalescing', 'black', 'hole', 'binaries', 'here', 'we', 'compare', 'a', 'recently', 'derived', 'resummed', '3', 'pnaccurate', 'eob', 'quadrupolar', 'waveform', 'to', 'the', 'results', 'of', 'a', 'numerical', 'simulation', 'of', 'the', 'inspiral', 'and', 'merger', 'of', 'an', 'equalmass', 'black', 'hole', 'binary', 'we', 'find', 'a', 'remarkable', 'agreement', 'both', 'in', 'phase', 'and', 'in', 'amplitude', 'with', 'a', 'maximal', 'dephasing', 'which', 'can', 'be', 'reduced', 'below', 'pm', '0005', 'gravitationalwave', 'gw', 'cycles', 'over', '12', 'gw', 'cycles', 'corresponding', 'to', 'the', 'end', 'of', 'the', 'inspiral', 'the', 'plunge', 'the', 'merger', 'and', 'the', 'beginning', 'of', 'the', 'ringdown', 'this', 'level', 'of', 'agreement', 'is', 'shown', 'for', 'two', 'different', 'values', 'of', 'the', 'effective', '4', 'pn', 'parameter', 'a_5', 'and', 'for', 'corresponding', 'appropriately', 'flexed', 'values', 'of', 'the', 'radiationreaction', 'resummation', 'parameter', 'v_pole', 'in', 'addition', 'our', 'resummed', 'eob', 'amplitude', 'agrees', 'to', 'better', 'than', 'the', '1', 'level', 'with', 'the', 'numericalrelativity', 'one', 'up', 'to', 'the', 'late', 'inspiral', 'these', 'results', 'together', 'with', 'other', 'recent', 'work', 'on', 'the', 'eobnumericalrelativity', 'comparison', 'confirm', 'the', 'ability', 'of', 'the', 'eob', 'formalism', 'to', 'faithfully', 'capture', 'the', 'general', 'relativistic', 'waveforms']] | [-0.1415606832604057, 0.09885824047502995, -0.07715102071474705, 0.09116999595475915, -0.05353346306830645, -0.055385777980887466, 4.516709595918655e-06, 0.3087332802146141, -0.1048655027550246, -0.31725109023707254, 0.01579151584700282, -0.30807430229016713, -0.11458086130608405, 0.2732297746238432, -0.016140388488503438, 0.08021024520525576, 0.13929333981791778, 0.007026714307389089, -0.16098743790760636, -0.2214590684058411, 0.28182513355477046, 0.09442671099677682, 0.10241238849171039, -0.0713152967712709, 0.08024792715807312, 0.022460132897498885, -0.03936142548652632, -0.04967771240643092, -0.18624452366493643, 0.0624213702284864, 0.2846846571830767, 0.08408276901979532, 0.16233980208943, -0.393995498248509, -0.18870254503563047, 0.02797049453615078, 0.13584226416157824, 0.18884999632103636, 0.0023667360066610852, -0.28565379513095, 0.10550739627930203, -0.34426428092377526, -0.11970180017873645, -0.04530605134155069, 0.06554135193283271, 0.02448891148968999, -0.26264793528509994, 0.08936644556749213, 0.07480459474027157, -0.09818343114257524, -0.07065037482551166, -0.08855696657872093, -0.03543596200911062, 0.11716037665094649, 0.08258376670336084, 0.12718322261269868, 0.1327620995364019, -0.0604380163004888, -0.13070193425419607, 0.36010873745594707, -0.0849565978445545, -0.13024041333901032, 0.15893897777290217, -0.2453689094260335, -0.09418089903624995, 0.17114096453413366, 0.15403007654207093, 0.14207892850839665, -0.12879155198186967, 0.048887379867623426, 0.12851185453789574, 0.23273050225472877, 0.11775785595577742, -0.019432369349940148, 0.309482810358916, 0.14123896955911602, -0.04432460064600621, 0.08056557121121191, -0.11790235800668597, -0.08312872907412903, -0.29637124455384245, -0.04332678021848551, -0.146907126358045, 0.07546838414722255, -0.20373851203451132, -0.12601639035340798, 0.4168613774010113, 0.15676156360722546, 0.1764119427172201, 0.11717978212516755, 0.325341022147664, 0.11174880825049643, -0.011452453353309206, 0.06317213828076741, 0.36199248138815165, 0.14520625016652047, 0.031536810267051414, -0.2708297506746437, -0.026165194695682396, 0.052511715960821936] |
712.3004 | The Optical-Radio Mapping: the kinetic efficiency of Radio-Loud AGNs | We constrain the mean kinetic efficiency of radio-loud active galactic nuclei
by using an optically selected sample for which both the optical and the radio
luminosity functions (LFs) have been determined; the former traces the
bolometric luminosity L, while the latter traces the kinetic power L_k,
empirically correlated to the radio emission. Thus in terms of the ratio
g_k=L_k/L, we can convert the optical LF of the sample into a radio one. This
computed LF is shown to match the directly observed LF for the same sample if
g_k=0.10^{+0.05}_{-0.01} holds, with a scatter \sigma=0.38^{+0.04}_{-0.09} dex;
with these values we also match a number of independent correlations between
L_k, L and radio emission, that we derive through Monte Carlo simulations. We
proceed to translate the value of g_k into a constraint on the kinetic
efficiency for the production of radio jets or winds, namely,
\epsilon_k=L_k/(Mdot*c^2)~0.01 in terms of the rate Mdot of mass accretion onto
the central black hole. Then, on assuming that on average the radio sources
share the same kinetic efficiency, we compute a solid lower limit of about 25%
on the contribution of radio sources to the local black hole mass density.
| astro-ph | we constrain the mean kinetic efficiency of radioloud active galactic nuclei by using an optically selected sample for which both the optical and the radio luminosity functions lfs have been determined the former traces the bolometric luminosity l while the latter traces the kinetic power l_k empirically correlated to the radio emission thus in terms of the ratio g_kl_kl we can convert the optical lf of the sample into a radio one this computed lf is shown to match the directly observed lf for the same sample if g_k010005_001 holds with a scatter sigma038004_009 dex with these values we also match a number of independent correlations between l_k l and radio emission that we derive through monte carlo simulations we proceed to translate the value of g_k into a constraint on the kinetic efficiency for the production of radio jets or winds namely epsilon_kl_kmdotc2001 in terms of the rate mdot of mass accretion onto the central black hole then on assuming that on average the radio sources share the same kinetic efficiency we compute a solid lower limit of about 25 on the contribution of radio sources to the local black hole mass density | [['we', 'constrain', 'the', 'mean', 'kinetic', 'efficiency', 'of', 'radioloud', 'active', 'galactic', 'nuclei', 'by', 'using', 'an', 'optically', 'selected', 'sample', 'for', 'which', 'both', 'the', 'optical', 'and', 'the', 'radio', 'luminosity', 'functions', 'lfs', 'have', 'been', 'determined', 'the', 'former', 'traces', 'the', 'bolometric', 'luminosity', 'l', 'while', 'the', 'latter', 'traces', 'the', 'kinetic', 'power', 'l_k', 'empirically', 'correlated', 'to', 'the', 'radio', 'emission', 'thus', 'in', 'terms', 'of', 'the', 'ratio', 'g_kl_kl', 'we', 'can', 'convert', 'the', 'optical', 'lf', 'of', 'the', 'sample', 'into', 'a', 'radio', 'one', 'this', 'computed', 'lf', 'is', 'shown', 'to', 'match', 'the', 'directly', 'observed', 'lf', 'for', 'the', 'same', 'sample', 'if', 'g_k010005_001', 'holds', 'with', 'a', 'scatter', 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712.3005 | X-ray and IR Point Source Identification and Characteristics in the
Embedded, Massive Star-Forming Region RCW 108 | We report on the results of an approximately 90 ks Chandra observation of a
complex region that hosts multiple sites of recent and active star formation in
ARA OB1a. The field is centered on the embedded cluster RCW 108-IR and includes
and a large portion of the open cluster NGC 6193. We detect over 420 X-ray
sources in the field and combined these data with deep near-IR, Spitzer/IRAC
and MSX mid-IR data. We find about 360 of the X-ray sources have near--IR
counterparts. We divide the region into 5 parts based on the X-ray point source
characteristics and extended 8 micron emission. The most clearly defined
regions are the central region - identified by embedded sources with high
luminosities in the both the near-IR and X-ray as well as high X-ray
temperatures (about 3 keV) and the eastern region - identified by low
extinction and 1 keV X-ray temperatures. Other regions, identified by their
directional relationship to RCW 108-IR are less uniform - representing
combinations of the first two regions, independent star formation epochs, or
both. Over 18% percent of the cluster members with over 100 counts exhibit
flares. Overall about 50% of the stars appear to have optically thick disks
when IRAC data are employed. The largest fraction of X-ray sources are best
described as possessing some disk material via a more detailed extinction
fitting. We estimate that the total number of pre--main sequence stars in the
field is about 1600. Approximately 800 are confined to (1.1 pc) central region.
| astro-ph | we report on the results of an approximately 90 ks chandra observation of a complex region that hosts multiple sites of recent and active star formation in ara ob1a the field is centered on the embedded cluster rcw 108ir and includes and a large portion of the open cluster ngc 6193 we detect over 420 xray sources in the field and combined these data with deep nearir spitzerirac and msx midir data we find about 360 of the xray sources have nearir counterparts we divide the region into 5 parts based on the xray point source characteristics and extended 8 micron emission the most clearly defined regions are the central region identified by embedded sources with high luminosities in the both the nearir and xray as well as high xray temperatures about 3 kev and the eastern region identified by low extinction and 1 kev xray temperatures other regions identified by their directional relationship to rcw 108ir are less uniform representing combinations of the first two regions independent star formation epochs or both over 18 percent of the cluster members with over 100 counts exhibit flares overall about 50 of the stars appear to have optically thick disks when irac data are employed the largest fraction of xray sources are best described as possessing some disk material via a more detailed extinction fitting we estimate that the total number of premain sequence stars in the field is about 1600 approximately 800 are confined to 11 pc central region | [['we', 'report', 'on', 'the', 'results', 'of', 'an', 'approximately', '90', 'ks', 'chandra', 'observation', 'of', 'a', 'complex', 'region', 'that', 'hosts', 'multiple', 'sites', 'of', 'recent', 'and', 'active', 'star', 'formation', 'in', 'ara', 'ob1a', 'the', 'field', 'is', 'centered', 'on', 'the', 'embedded', 'cluster', 'rcw', '108ir', 'and', 'includes', 'and', 'a', 'large', 'portion', 'of', 'the', 'open', 'cluster', 'ngc', '6193', 'we', 'detect', 'over', '420', 'xray', 'sources', 'in', 'the', 'field', 'and', 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712.3006 | Metallicity estimates of Galactic Cepheids based on Walraven photometry | We present new empirical and theoretical calibrations of two photometric
metallicity indices based on Walraven photometry. The empirical calibration
relies on a sample of 48 Cepheids for which iron abundances based on high
resolution spectra are available in the literature. They cover a broad range in
metal abundance (-0.5 < [Fe/H] < +0.5) and the intrinsic accuracy of the
Metallicity Index Color (MIC) relations is better than 0.2 dex. The theoretical
calibration relies on a homogeneous set of scaled-solar evolutionary tracks for
intermediate-mass stars and on pulsation predictions concerning the topology of
the instability strip. The metal content of the adopted evolutionary tracks
ranges from Z=0.001 to Z=0.03 and the intrinsic accuracy of the MIC relations
is better than 0.1 dex.
| astro-ph | we present new empirical and theoretical calibrations of two photometric metallicity indices based on walraven photometry the empirical calibration relies on a sample of 48 cepheids for which iron abundances based on high resolution spectra are available in the literature they cover a broad range in metal abundance 05 feh 05 and the intrinsic accuracy of the metallicity index color mic relations is better than 02 dex the theoretical calibration relies on a homogeneous set of scaledsolar evolutionary tracks for intermediatemass stars and on pulsation predictions concerning the topology of the instability strip the metal content of the adopted evolutionary tracks ranges from z0001 to z003 and the intrinsic accuracy of the mic relations is better than 01 dex | [['we', 'present', 'new', 'empirical', 'and', 'theoretical', 'calibrations', 'of', 'two', 'photometric', 'metallicity', 'indices', 'based', 'on', 'walraven', 'photometry', 'the', 'empirical', 'calibration', 'relies', 'on', 'a', 'sample', 'of', '48', 'cepheids', 'for', 'which', 'iron', 'abundances', 'based', 'on', 'high', 'resolution', 'spectra', 'are', 'available', 'in', 'the', 'literature', 'they', 'cover', 'a', 'broad', 'range', 'in', 'metal', 'abundance', '05', 'feh', '05', 'and', 'the', 'intrinsic', 'accuracy', 'of', 'the', 'metallicity', 'index', 'color', 'mic', 'relations', 'is', 'better', 'than', '02', 'dex', 'the', 'theoretical', 'calibration', 'relies', 'on', 'a', 'homogeneous', 'set', 'of', 'scaledsolar', 'evolutionary', 'tracks', 'for', 'intermediatemass', 'stars', 'and', 'on', 'pulsation', 'predictions', 'concerning', 'the', 'topology', 'of', 'the', 'instability', 'strip', 'the', 'metal', 'content', 'of', 'the', 'adopted', 'evolutionary', 'tracks', 'ranges', 'from', 'z0001', 'to', 'z003', 'and', 'the', 'intrinsic', 'accuracy', 'of', 'the', 'mic', 'relations', 'is', 'better', 'than', '01', 'dex']] | [-0.0007515207789994839, 0.07703949631966588, -0.08960421497643996, 0.10670823275362055, -0.08519395459306371, -0.07696113231818841, 0.13742365008572258, 0.45163946013365475, -0.12292194773419564, -0.4188967779701372, 0.03552026322166271, -0.32645881399042714, 0.03171560142439704, 0.21753179729170705, -0.11999848241596914, 0.017144173678175053, 0.07585218673211937, -0.09417036748999934, -0.09974959936529054, -0.24293859425478248, 0.27719932340257686, 0.025031047031878174, 0.24957423816051552, -0.05593769104164211, 0.022880845241436437, -0.12317798110977315, -0.10358946986629494, -0.025504438456993142, -0.21892596015064908, 0.11115753567707137, 0.2130482529892641, 0.1271488013610776, 0.17929816415079503, -0.2731380922904609, -0.1720767563772427, 0.011362348049252975, 0.17634663076977394, 0.0027903469167884533, -0.09448647295504402, -0.1905268814234736, 0.06536008727525462, -0.1305369418936179, -0.10503449061681994, 0.06866328590432134, 0.039194477221169394, 0.05474140613825068, -0.25425510671960205, 0.13296911931359953, 0.0025790467967881877, 0.21594849754195317, -0.10428001259320549, -0.25674612926585333, -0.0811550186520458, 0.09466994720894624, -0.03519302185922235, 0.04082803587828364, 0.12360070579286132, -0.08398701320695809, -0.0078085899243459985, 0.39349290598653447, -0.11181719579950108, -0.05108831880786339, 0.23148165782913566, -0.15704626130613208, -0.13926644789978487, 0.0847360626637873, 0.15696097935130232, 0.13340231945284275, -0.17237604706070753, 0.026969995907265225, 0.031139422860583525, 0.2897931962536194, 0.019163776255611862, 0.06840620729915735, 0.2472011575929257, 0.20179512891761897, 0.01599612323265961, -0.03792760012076557, -0.21289364119968182, -0.06971849354390963, -0.21462665491213068, -0.11646729889677979, -0.09158113996396545, 0.07126203715456884, -0.24191485587145523, -0.18587739979691742, 0.37823084663568424, 0.17985820305385009, 0.19117277030081747, 0.0693416129259643, 0.29732455585558876, 0.08423873323454627, 0.08498257897087928, 0.058448654865579944, 0.3172650242521733, 0.2116100888214066, 0.08223233625543218, -0.22737356834113598, 0.1228148660611776, 0.04634503309787134] |
712.3007 | On tropical and Kapranov ranks of tropical matrices | We prove that, for any g greater or equal than 3, a matrix g x 5 with
tropical rank 3 has Kapranov rank 3.
| math.AG math.CO | we prove that for any g greater or equal than 3 a matrix g x 5 with tropical rank 3 has kapranov rank 3 | [['we', 'prove', 'that', 'for', 'any', 'g', 'greater', 'or', 'equal', 'than', '3', 'a', 'matrix', 'g', 'x', '5', 'with', 'tropical', 'rank', '3', 'has', 'kapranov', 'rank', '3']] | [-0.140967326083531, 0.14585274861504635, -0.0004544546827673912, 0.07326247147284448, -0.0003243141497174899, -0.2652930628003863, -0.013296271616127342, 0.3669421031760673, -0.1872297026372204, -0.28872769690739614, 0.15249709115596488, -0.3017158197859923, -0.17228416841438352, 0.10761000358616002, -0.09976396166409056, -0.11454711598344147, -0.0050122111570090055, 0.20682738597194353, -0.20439410654944368, -0.3643065829916547, 0.36993267697592574, -0.11690240221408506, 0.12384700293963154, 0.050941253798858575, 0.15325930378943062, 0.05890599339424322, 0.020145767057935398, 0.010776963434182107, -0.09369895259108792, 0.14079877750676437, 0.2953649698756635, 0.1757559574810633, 0.27913464450587827, -0.3253214043409874, -0.17203131426746646, 0.3236236002994701, 0.06609572384816904, -0.07946967096844067, 0.08277768603875302, -0.1081154882752647, 0.27543550500801456, -0.225005459273234, -0.19594031226976463, 0.02209875902432638, 0.2236528719755976, -0.1238675257191062, -0.28084199227547896, -0.022655817136789363, 0.08124744201389451, 0.18329199756650874, 0.032944632577709854, -0.3393637237992759, -0.0627655362089475, -0.004435597230137016, -0.1089927523668545, 0.15821427945047617, 0.05307730157316352, -0.02729220533122619, -0.12015907668198149, 0.34272172464989126, -0.040946901458786066, -0.20399553903068104, 0.16515446361154318, -0.23876263170192638, -0.09075585306466867, 0.19373018108308315, 0.0856717493928348, 0.13502196738894176, 0.0999043205132087, 0.1310736450056235, -0.13269975874572992, 0.2179173439120253, 0.16943222160140672, -0.13187659048708156, 0.026406105840578675, 0.0987372914290366, 0.22776166782326376, 0.03334784973412752, -0.021163613069802523, 0.21207805629819632, -0.2430222276598215, -0.1691145706960621, -0.15833956936451918, 0.2600155758361022, -0.24284726131008938, -0.03328888902130226, 0.35639133242269355, 0.036173385994819306, 0.14116014819592237, 0.16987018337628493, 0.21077521548916897, 0.05126200313679874, 0.038798679500663034, 0.20714269722035775, 0.09565855391944449, 0.23580262763425708, -0.08761282707564533, 0.0013573988107964396, -0.0037460067154218755, 0.17775382016164562] |
712.3008 | Classical and Quantum Features of the Mixmaster Singularity | This review article is devoted to analyze the main properties characterizing
the cosmological singularity associated to the homogeneous and inhomogeneous
Mixmaster model. After the introduction of the main tools required to treat the
cosmological issue, we review in details the main results got along the last
forty years on the Mixmaster topic. We firstly assess the classical picture of
the homogeneous chaotic cosmologies and, after a presentation of the canonical
method for the quantization, we develop the quantum Mixmaster behavior.
Finally, we extend both the classical and quantum features to the fully
inhomogeneous case. Our survey analyzes the fundamental framework of the
Mixmaster picture and completes it by accounting for recent and peculiar
outstanding results.
| gr-qc astro-ph hep-th quant-ph | this review article is devoted to analyze the main properties characterizing the cosmological singularity associated to the homogeneous and inhomogeneous mixmaster model after the introduction of the main tools required to treat the cosmological issue we review in details the main results got along the last forty years on the mixmaster topic we firstly assess the classical picture of the homogeneous chaotic cosmologies and after a presentation of the canonical method for the quantization we develop the quantum mixmaster behavior finally we extend both the classical and quantum features to the fully inhomogeneous case our survey analyzes the fundamental framework of the mixmaster picture and completes it by accounting for recent and peculiar outstanding results | [['this', 'review', 'article', 'is', 'devoted', 'to', 'analyze', 'the', 'main', 'properties', 'characterizing', 'the', 'cosmological', 'singularity', 'associated', 'to', 'the', 'homogeneous', 'and', 'inhomogeneous', 'mixmaster', 'model', 'after', 'the', 'introduction', 'of', 'the', 'main', 'tools', 'required', 'to', 'treat', 'the', 'cosmological', 'issue', 'we', 'review', 'in', 'details', 'the', 'main', 'results', 'got', 'along', 'the', 'last', 'forty', 'years', 'on', 'the', 'mixmaster', 'topic', 'we', 'firstly', 'assess', 'the', 'classical', 'picture', 'of', 'the', 'homogeneous', 'chaotic', 'cosmologies', 'and', 'after', 'a', 'presentation', 'of', 'the', 'canonical', 'method', 'for', 'the', 'quantization', 'we', 'develop', 'the', 'quantum', 'mixmaster', 'behavior', 'finally', 'we', 'extend', 'both', 'the', 'classical', 'and', 'quantum', 'features', 'to', 'the', 'fully', 'inhomogeneous', 'case', 'our', 'survey', 'analyzes', 'the', 'fundamental', 'framework', 'of', 'the', 'mixmaster', 'picture', 'and', 'completes', 'it', 'by', 'accounting', 'for', 'recent', 'and', 'peculiar', 'outstanding', 'results']] | [-0.0899495725641432, 0.044162744437546836, -0.1096144336093541, 0.08417197823848413, -0.06951573027864746, -0.09072022962576265, -0.0017055643276999825, 0.29356649197314094, -0.24657307785490284, -0.25233854557509006, 0.10162154816738937, -0.24046887011955614, -0.18965511662359147, 0.16459312700747472, -0.07947360099212307, 0.029363042367217332, 0.05457513911001708, 0.016668052947067698, -0.0680556171796406, -0.2997098712412559, 0.39463170213705817, 0.10262502768562863, 0.2789286475466645, 0.027689728960799784, 0.08174200020730496, 0.027417238724782415, -0.14269936573489206, 0.005013907996370741, -0.23467253340894115, 0.12162196290800753, 0.20131446132841319, 0.11531056138565358, 0.28806313279530277, -0.43434523135099723, -0.2303775624655511, 0.0745373664666777, 0.13325715432672397, 0.19161509741907534, -0.02656178220640868, -0.2880130209089459, 0.07527772752332765, -0.15024120900779964, -0.2126632471082975, -0.06457017458590639, -0.000980029417120892, -0.031219266501102537, -0.12479428173771695, 0.0793164342155923, 0.11542501087583926, 0.027717181878245394, -0.09286225486227878, -0.06694917676605933, 0.09409788606647888, 0.11883693660164009, 0.0677214174217585, -0.0018234665444849627, 0.06518673245673594, -0.14289564279151026, -0.08856542991858947, 0.3998317891974812, -0.06565998561285517, -0.09440476826351622, 0.16487021540979976, -0.1324548584652012, -0.1625907017464709, 0.05191520740146465, 0.13113186942494434, 0.09822312839248258, -0.15832079316934813, 0.11336194549069699, 0.0031426141443459885, 0.10021567399735036, 0.005210229462903479, 0.010310488372393276, 0.22454377666885114, 0.1767855095575847, -0.011546439665329197, 0.1511020182955848, -0.033824060345574725, -0.19119306351260645, -0.3602474437135717, -0.15953637759869352, -0.11363922405745024, 0.09215788231838656, -0.046651672575314045, -0.14234220354423008, 0.4898436202303223, 0.2040450105878889, 0.18047760317871428, 0.019593737179251468, 0.3033610611830069, 0.04197798402595293, -0.03704578682385466, 0.04287809302787418, 0.2296768240954565, 0.1914329737769035, 0.15024546271837924, -0.21347586979441668, 0.013889140608396543, 0.07419685628265142] |
712.3009 | Logarithmically Enhanced Corrections to the Decay Rate and Forward
Backward Asymmetry in anti-B --> X(s) l+ l- | We study logarithmically enhanced electromagnetic corrections to the decay
rate in the high dilepton invariant mass region as well as corrections to the
forward backward asymmetry (FBA) of the inclusive rare decay $\bar{B} \to X_s
\ell^+ \ell^-$. As expected, the relative effect of these corrections in the
high dilepton mass region is around -8% for the muonic final state and
therefore much larger than in the low dilepton mass region.
We also present a complete phenomenological analysis, to improved NNLO
accuracy, of the dilepton mass spectrum and the FBA integrated in the low
dilepton mass region, including a new approach to the zero of the FBA. The
latter represents one of the most precise predictions in flavour physics with a
theoretical uncertainty of order 5%. We find $(q_0^2)_{\mu\mu} = (3.50 \pm
0.12) \gev^2$. For the high dilepton invariant mass region, we have ${\cal
B}(\bar B\to X_s\mu\mu)_{\rm high} = (2.40^{+0.69}_{-0.62}) \times 10^{-7}$.
The dominant uncertainty is due to the $1/m_b$ corrections and can be
significantly reduced in the future. For the low dilepton invariant mass
region, we confirm previous results up to small corrections.
| hep-ph hep-ex | we study logarithmically enhanced electromagnetic corrections to the decay rate in the high dilepton invariant mass region as well as corrections to the forward backward asymmetry fba of the inclusive rare decay barb to x_s ell ell as expected the relative effect of these corrections in the high dilepton mass region is around 8 for the muonic final state and therefore much larger than in the low dilepton mass region we also present a complete phenomenological analysis to improved nnlo accuracy of the dilepton mass spectrum and the fba integrated in the low dilepton mass region including a new approach to the zero of the fba the latter represents one of the most precise predictions in flavour physics with a theoretical uncertainty of order 5 we find q_02_mumu 350 pm 012 gev2 for the high dilepton invariant mass region we have cal bbar bto x_smumu_rm high 240069_062 times 107 the dominant uncertainty is due to the 1m_b corrections and can be significantly reduced in the future for the low dilepton invariant mass region we confirm previous results up to small corrections | [['we', 'study', 'logarithmically', 'enhanced', 'electromagnetic', 'corrections', 'to', 'the', 'decay', 'rate', 'in', 'the', 'high', 'dilepton', 'invariant', 'mass', 'region', 'as', 'well', 'as', 'corrections', 'to', 'the', 'forward', 'backward', 'asymmetry', 'fba', 'of', 'the', 'inclusive', 'rare', 'decay', 'barb', 'to', 'x_s', 'ell', 'ell', 'as', 'expected', 'the', 'relative', 'effect', 'of', 'these', 'corrections', 'in', 'the', 'high', 'dilepton', 'mass', 'region', 'is', 'around', '8', 'for', 'the', 'muonic', 'final', 'state', 'and', 'therefore', 'much', 'larger', 'than', 'in', 'the', 'low', 'dilepton', 'mass', 'region', 'we', 'also', 'present', 'a', 'complete', 'phenomenological', 'analysis', 'to', 'improved', 'nnlo', 'accuracy', 'of', 'the', 'dilepton', 'mass', 'spectrum', 'and', 'the', 'fba', 'integrated', 'in', 'the', 'low', 'dilepton', 'mass', 'region', 'including', 'a', 'new', 'approach', 'to', 'the', 'zero', 'of', 'the', 'fba', 'the', 'latter', 'represents', 'one', 'of', 'the', 'most', 'precise', 'predictions', 'in', 'flavour', 'physics', 'with', 'a', 'theoretical', 'uncertainty', 'of', 'order', '5', 'we', 'find', 'q_02_mumu', '350', 'pm', '012', 'gev2', 'for', 'the', 'high', 'dilepton', 'invariant', 'mass', 'region', 'we', 'have', 'cal', 'bbar', 'bto', 'x_smumu_rm', 'high', '240069_062', 'times', '107', 'the', 'dominant', 'uncertainty', 'is', 'due', 'to', 'the', '1m_b', 'corrections', 'and', 'can', 'be', 'significantly', 'reduced', 'in', 'the', 'future', 'for', 'the', 'low', 'dilepton', 'invariant', 'mass', 'region', 'we', 'confirm', 'previous', 'results', 'up', 'to', 'small', 'corrections']] | [-0.07083548851353064, 0.1862687459294004, -0.054445315942461235, 0.15725506358554983, -0.020443160969795388, -0.08187884415939367, 0.06474867530214193, 0.2945905161309945, -0.194850158255699, -0.3102406361009507, 0.010166143296087641, -0.33441231357917356, 0.05265499500615334, 0.16187277818726523, -0.013373502763969237, 0.12033155123936012, 0.06500995811859794, 0.01672387049334605, -0.10950041003067444, -0.16935408892164927, 0.2569135915634505, 0.09927246284937967, 0.22968128206616456, 0.15171316233097334, 0.021092049439053125, -0.04311799559365498, -0.05221184710809324, -0.0586331357337074, -0.17605599061454505, 0.03755143495653285, 0.21789889341580623, 0.029040910516802767, 0.13698377870441822, -0.27128462743516385, -0.0943523069289042, 0.11895595195054422, 0.20175946693281444, 0.108816751564089, -0.03173986267758889, -0.26076271774749576, 0.16760712769765437, -0.24008771437063312, -0.10502995906680236, -0.052347926326158846, 0.027263906067551188, -0.12255516360655135, -0.34878317303981715, 0.14966204163884572, -0.033352641060906185, -0.002970552375393637, -0.0003094501607643252, -0.21287767663911988, -0.07480256923793532, 0.06527064349554647, 0.1197965311297226, 0.10941513168973471, 0.19725991335823043, -0.17961806367842084, -0.12826174587401132, 0.37825170621861903, -0.10430912960105213, -0.15701645481912943, 0.14120095964583956, -0.2800213545037622, -0.17065715102290505, 0.21706265666956354, 0.2466599131421594, 0.10998855203290711, -0.1490115243679938, 0.09066908687351172, 0.024807317212506542, 0.147648103208166, 0.05132173590906215, 0.12364402532268817, 0.18873484961144374, 0.18054838191124015, 0.02756347091936538, 0.06583798967440498, -0.15043451646316713, -0.05034823309802817, -0.38303011053063896, -0.11483573605400625, -0.061925194257598244, 0.07181915167386885, -0.10479795928616757, -0.07954471824501688, 0.36247828564072926, 0.11502630876251653, 0.3140182890406067, 0.04611648061820253, 0.354119822068998, 0.163306617919026, 0.09790145499851513, 0.07480349733619794, 0.3285127251900816, 0.15578198275434668, 0.14579994219297732, -0.2764940013379131, 0.018425940954534526, 0.01876536781868238] |
712.301 | Atomic Cascade in Muonic and Hadronic Hydrogen Atoms | The atomic cascade in $\mu^- p$ and $\pi^- p$ atoms has been studied with the
improved version of the extended cascade model in which new quantum mechanical
calculations of the differential and integral cross sections of the elastic
scattering, Stark transitions and Coulomb de-excitation have been included for
the principal quantum number values $n\le 8$ and the relative energies $E \ge
0.01$ eV. The $X$-ray yields and kinetic energy distributions are compared with
the experimental data.
| nucl-th | the atomic cascade in mu p and pi p atoms has been studied with the improved version of the extended cascade model in which new quantum mechanical calculations of the differential and integral cross sections of the elastic scattering stark transitions and coulomb deexcitation have been included for the principal quantum number values nle 8 and the relative energies e ge 001 ev the xray yields and kinetic energy distributions are compared with the experimental data | [['the', 'atomic', 'cascade', 'in', 'mu', 'p', 'and', 'pi', 'p', 'atoms', 'has', 'been', 'studied', 'with', 'the', 'improved', 'version', 'of', 'the', 'extended', 'cascade', 'model', 'in', 'which', 'new', 'quantum', 'mechanical', 'calculations', 'of', 'the', 'differential', 'and', 'integral', 'cross', 'sections', 'of', 'the', 'elastic', 'scattering', 'stark', 'transitions', 'and', 'coulomb', 'deexcitation', 'have', 'been', 'included', 'for', 'the', 'principal', 'quantum', 'number', 'values', 'nle', '8', 'and', 'the', 'relative', 'energies', 'e', 'ge', '001', 'ev', 'the', 'xray', 'yields', 'and', 'kinetic', 'energy', 'distributions', 'are', 'compared', 'with', 'the', 'experimental', 'data']] | [-0.09087460098702363, 0.18601066477621267, -0.0525028500031974, 0.07402481310878341, 0.06163840535047807, -0.11998765583848581, -0.0015887442767914188, 0.36631252351952226, -0.22584502077293828, -0.34314108103219615, -0.04339792306449166, -0.35173585216857883, -0.005811921474033673, 0.16935960611475534, 0.0802466016826465, 0.13274994703782508, 0.07017955427229601, 0.03404047191878291, -0.03180169990580333, -0.19936055709656916, 0.2684720848981095, 0.0856411410403732, 0.24422373712111853, 0.0825216438388452, 0.04160813763155602, 0.04960845802653287, -0.0028069905422039724, -0.02051497601266754, -0.19624524733884946, 0.1294751479658053, 0.24302052297800975, -0.027685717036212355, 0.1696708118206037, -0.4070934558189229, -0.18196654284838587, 0.10802559716945612, 0.11204871673161458, 0.07375605963630062, -0.015811280230991542, -0.2696162243373692, 0.05476766680122206, -0.1766140875651648, -0.0714532476145235, -0.06703936425650395, 0.07889444365068093, 0.03956935755635832, -0.2607982388244158, 0.06889913212140336, 0.0229874488528654, 0.06971076061238005, -0.09075795680799179, -0.22575890607396631, -0.045730741072666684, 0.013210619524072268, 0.023802944800608156, 0.01604026496275573, 0.14263252924214803, -0.06644882335278549, -0.1599615902370332, 0.39730563377471345, -0.04590079500830095, -0.12942055860338242, 0.13957516002272696, -0.14725049414769992, -0.10816385573401165, 0.25323481019586325, 0.11584059856096773, 0.08374096301849931, -0.08729363107857735, 0.17041890381599506, 0.018325444860046877, 0.1443134831068547, 0.08260262084781732, 0.030137532439671065, 0.09902284519232221, 0.13812480509238267, -0.018716598716932105, 0.06648365444944877, -0.17607210610846155, -0.08198291808366776, -0.3069699396820445, -0.1631659086606784, -0.1420768848712262, 0.09881454686585225, -0.04337032810125445, -0.08693476749191943, 0.3163141519628545, 0.05277246552041585, 0.22638948178715318, -0.01741226498301043, 0.25766192171355023, 0.18254825994862536, 0.04534379842593089, 0.019147273238846345, 0.2923557911631896, 0.2136149490742307, 0.08678212618504308, -0.25115719408188997, 0.012678284302206808, 0.018921096962386447] |
712.3011 | Geometry in transition: A model of emergent geometry | We study a three matrix model with global SO(3) symmetry containing at most
quartic powers of the matrices. We find an exotic line of discontinuous
transitions with a jump in the entropy, characteristic of a 1st order
transition, yet with divergent critical fluctuations and a divergent specific
heat with critical exponent $\alpha=1/2$. The low temperature phase is a
geometrical one with gauge fields fluctuating on a round sphere. As the
temperature increased the sphere evaporates in a transition to a pure matrix
phase with no background geometrical structure. Both the geometry and gauge
fields are determined dynamically. It is not difficult to invent higher
dimensional models with essentially similar phenomenology. The model presents
an appealing picture of a geometrical phase emerging as the system cools and
suggests a scenario for the emergence of geometry in the early universe.
| hep-th | we study a three matrix model with global so3 symmetry containing at most quartic powers of the matrices we find an exotic line of discontinuous transitions with a jump in the entropy characteristic of a 1st order transition yet with divergent critical fluctuations and a divergent specific heat with critical exponent alpha12 the low temperature phase is a geometrical one with gauge fields fluctuating on a round sphere as the temperature increased the sphere evaporates in a transition to a pure matrix phase with no background geometrical structure both the geometry and gauge fields are determined dynamically it is not difficult to invent higher dimensional models with essentially similar phenomenology the model presents an appealing picture of a geometrical phase emerging as the system cools and suggests a scenario for the emergence of geometry in the early universe | [['we', 'study', 'a', 'three', 'matrix', 'model', 'with', 'global', 'so3', 'symmetry', 'containing', 'at', 'most', 'quartic', 'powers', 'of', 'the', 'matrices', 'we', 'find', 'an', 'exotic', 'line', 'of', 'discontinuous', 'transitions', 'with', 'a', 'jump', 'in', 'the', 'entropy', 'characteristic', 'of', 'a', '1st', 'order', 'transition', 'yet', 'with', 'divergent', 'critical', 'fluctuations', 'and', 'a', 'divergent', 'specific', 'heat', 'with', 'critical', 'exponent', 'alpha12', 'the', 'low', 'temperature', 'phase', 'is', 'a', 'geometrical', 'one', 'with', 'gauge', 'fields', 'fluctuating', 'on', 'a', 'round', 'sphere', 'as', 'the', 'temperature', 'increased', 'the', 'sphere', 'evaporates', 'in', 'a', 'transition', 'to', 'a', 'pure', 'matrix', 'phase', 'with', 'no', 'background', 'geometrical', 'structure', 'both', 'the', 'geometry', 'and', 'gauge', 'fields', 'are', 'determined', 'dynamically', 'it', 'is', 'not', 'difficult', 'to', 'invent', 'higher', 'dimensional', 'models', 'with', 'essentially', 'similar', 'phenomenology', 'the', 'model', 'presents', 'an', 'appealing', 'picture', 'of', 'a', 'geometrical', 'phase', 'emerging', 'as', 'the', 'system', 'cools', 'and', 'suggests', 'a', 'scenario', 'for', 'the', 'emergence', 'of', 'geometry', 'in', 'the', 'early', 'universe']] | [-0.1588993935974018, 0.18927062426687832, -0.10027644647103127, 0.04982279753481186, -0.0645774031328746, -0.15748874347090072, 0.029524380401910646, 0.33248433613798756, -0.22254715112554233, -0.27720289000148035, 0.11051635761438208, -0.2884216734572597, -0.14780575245031682, 0.12657463435502048, 0.0007320154269320377, 0.005366832936567295, -0.0665514831147764, 0.06922783389977732, -0.12401169163522487, -0.18755719790309397, 0.33322380434222304, 0.0577054093743715, 0.27274310629328957, 0.0316050361860476, 0.09556344681608396, -0.05363893382878893, 0.03553897812557609, 0.03140636501779807, -0.11385345553466375, 0.04179868767918695, 0.20093456034640217, 0.02579799234745619, 0.18859423231502212, -0.3820560414182103, -0.23936092939929685, 0.11759233757418217, 0.10756178794469198, 0.116573350213846, -0.06532601001200036, -0.2421415704369977, 0.017062783156913043, -0.14800388110038973, -0.17029427220214807, -0.06632200622613933, 0.014956958396225304, -0.07045851912445632, -0.2517318339850517, 0.09640350298740077, 0.05244827664801446, 0.07651244391741203, -0.05527606946618661, -0.07058953464392276, -0.05444895887605684, 0.08129131641454887, 0.05296815553362873, 0.05897449419759484, 0.1376096229144858, -0.15997211415173218, -0.07875971987749031, 0.4046604772624762, -0.0779711177827372, -0.1553073621899534, 0.20816414920694154, -0.1842411162206849, -0.12213116150308886, 0.1906711128860901, 0.13194334083169268, 0.11668805890730109, -0.10255177895432217, 0.08567147268605776, 0.015333807558172208, 0.18133655273139584, 0.010675065907771173, -0.0011720354441026955, 0.2575069795517872, 0.15630697110073938, 0.04781769981364841, 0.16551216718727263, -0.024082236901765853, -0.14889110729395263, -0.3281128947096674, -0.16305322118400448, -0.16469858943120294, 0.07562895526991822, -0.1427842752525686, -0.20922089222332704, 0.38119048161762836, 0.09635964215809456, 0.2536111625613294, -0.008348910529752755, 0.25703682496711827, 0.12212134934995539, 0.053655488153352686, 0.06628939172124787, 0.22757651666314274, 0.15176021649529212, 0.13194595153639227, -0.2089331115299053, 0.007415388920850566, 0.08377247454558054] |
712.3012 | OGLE-II High Proper Motion Stars towards the Galactic centre | The photometry data base of the second phase of the OGLE microlensing
experiment, OGLE-II, is a rich source of information about the kinematics and
structure of the Galaxy. In this work we use the OGLE-II proper motion
catalogue to identify candidate stars which have high proper motions. 521 stars
with proper motion mu > 50 mas/yr in the OGLE-II proper motion catalogue (Sumi
2004) were cross-identified with stars in the MACHO high proper motion
catalogue, and the DENIS and 2MASS infra-red photometry catalogues. Photometric
distances were computed for stars with colours consistent with G/K and M type
stars. 6 stars were newly identified as possible nearby (< 50 pc) M dwarfs.
| astro-ph | the photometry data base of the second phase of the ogle microlensing experiment ogleii is a rich source of information about the kinematics and structure of the galaxy in this work we use the ogleii proper motion catalogue to identify candidate stars which have high proper motions 521 stars with proper motion mu 50 masyr in the ogleii proper motion catalogue sumi 2004 were crossidentified with stars in the macho high proper motion catalogue and the denis and 2mass infrared photometry catalogues photometric distances were computed for stars with colours consistent with gk and m type stars 6 stars were newly identified as possible nearby 50 pc m dwarfs | [['the', 'photometry', 'data', 'base', 'of', 'the', 'second', 'phase', 'of', 'the', 'ogle', 'microlensing', 'experiment', 'ogleii', 'is', 'a', 'rich', 'source', 'of', 'information', 'about', 'the', 'kinematics', 'and', 'structure', 'of', 'the', 'galaxy', 'in', 'this', 'work', 'we', 'use', 'the', 'ogleii', 'proper', 'motion', 'catalogue', 'to', 'identify', 'candidate', 'stars', 'which', 'have', 'high', 'proper', 'motions', '521', 'stars', 'with', 'proper', 'motion', 'mu', '50', 'masyr', 'in', 'the', 'ogleii', 'proper', 'motion', 'catalogue', 'sumi', '2004', 'were', 'crossidentified', 'with', 'stars', 'in', 'the', 'macho', 'high', 'proper', 'motion', 'catalogue', 'and', 'the', 'denis', 'and', '2mass', 'infrared', 'photometry', 'catalogues', 'photometric', 'distances', 'were', 'computed', 'for', 'stars', 'with', 'colours', 'consistent', 'with', 'gk', 'and', 'm', 'type', 'stars', '6', 'stars', 'were', 'newly', 'identified', 'as', 'possible', 'nearby', '50', 'pc', 'm', 'dwarfs']] | [-0.05005671650837731, 0.08177671153440115, -0.12009503831232496, 0.04047347712885896, -0.2351880055348124, -0.00032714754770245025, 0.13577604078081087, 0.45569343293307846, -0.14016139945186196, -0.4172707525329716, 0.024560214965518804, -0.37364692616900175, 0.05756803938623415, 0.19462147948584185, -0.12744851039141553, 0.0010631394256418998, 0.19888412195403093, -0.06536798512802348, 0.024658375970246015, -0.330265105981807, 0.22203730203108776, -0.012104151445791262, 0.11206199029255487, -0.20767778251320124, 0.09119690266125964, -0.08431173568386413, -0.2155679509966472, -0.0036562922573007573, -0.17317999345933968, 0.013779904859443836, 0.21668065592236474, 0.11941145155407967, 0.1737519421736462, -0.20029582938076843, -0.16702659311917945, 0.018198096714572076, 0.14190162797330305, 0.011989619727075579, -0.03227345501350393, -0.3781600544365858, 0.12969965913221923, -0.17059791831453458, -0.21665528484987556, 0.02025277322636695, 0.1636751423752226, 0.0875586337461179, -0.18619975349449322, 0.11303364457947057, 0.00020676067765426197, 0.22430867750471065, -0.16116177717463, -0.1474150763995467, -0.08717218115754904, 0.11987509030993994, -0.07428629981106095, 0.16677752814635874, 0.08288045351419153, -0.11737012219564015, -0.05243380846660755, 0.44338638957487336, -0.09899703332504958, 0.023270236118910236, 0.17763146595738896, -0.18642496810627912, -0.20451909086214157, 0.11856981488201049, 0.15102352741934838, 0.17041205243130617, -0.3114842531370606, 0.009779880820867528, 0.02013043951619109, 0.16504005316875603, 0.11114045834049173, 0.08106170713684176, 0.30139022452944736, 0.05890776743309213, 0.00011906564586001252, 0.046626478715569054, -0.38244528795481414, -0.009237878418147326, -0.2662360864870865, -0.07710125846702845, -0.10912272561162095, 0.06711461275886453, -0.16493587309458302, -0.10957166795200164, 0.2883267630523908, 0.07994064401809571, 0.16224776339341263, -0.00020226352493526466, 0.2818100770995226, -0.02083824131607907, 0.13334203296161573, 0.1411145935134125, 0.33195455898658943, 0.19373803829278693, 0.08511918546191903, -0.20007909120753656, 0.0004085570738283456, -0.0009161352282475441] |
712.3013 | Recent Developments in Chiral Unitary Dynamics of Resonances | In this talk I summarize recent findings made on the description of axial
vector mesons as dynamically generated states from the interaction of
peseudoscalar mesons and vector mesons, dedicating some attention to the two
$K_1(1270)$ states. Then I review the generation of open and hidden charm
scalar and axial states. Finally, I present recent results showing that the low
lying $1/2^+$ baryon resonances for S=-1 can be obtained as bound states or
resonances of two mesons and one baryon in coupled channels dynamics.
| nucl-th | in this talk i summarize recent findings made on the description of axial vector mesons as dynamically generated states from the interaction of peseudoscalar mesons and vector mesons dedicating some attention to the two k_11270 states then i review the generation of open and hidden charm scalar and axial states finally i present recent results showing that the low lying 12 baryon resonances for s1 can be obtained as bound states or resonances of two mesons and one baryon in coupled channels dynamics | [['in', 'this', 'talk', 'i', 'summarize', 'recent', 'findings', 'made', 'on', 'the', 'description', 'of', 'axial', 'vector', 'mesons', 'as', 'dynamically', 'generated', 'states', 'from', 'the', 'interaction', 'of', 'peseudoscalar', 'mesons', 'and', 'vector', 'mesons', 'dedicating', 'some', 'attention', 'to', 'the', 'two', 'k_11270', 'states', 'then', 'i', 'review', 'the', 'generation', 'of', 'open', 'and', 'hidden', 'charm', 'scalar', 'and', 'axial', 'states', 'finally', 'i', 'present', 'recent', 'results', 'showing', 'that', 'the', 'low', 'lying', '12', 'baryon', 'resonances', 'for', 's1', 'can', 'be', 'obtained', 'as', 'bound', 'states', 'or', 'resonances', 'of', 'two', 'mesons', 'and', 'one', 'baryon', 'in', 'coupled', 'channels', 'dynamics']] | [-0.11576810533680566, 0.2939919749695081, -0.03747575878869833, 0.0798637588528303, -0.040528453855275565, -0.1639507622344465, 0.06619427903702982, 0.3261516800990737, -0.18645770975570308, -0.2206849494789977, 0.029750154157759758, -0.34777942227154246, -0.06924535305432339, 0.0782325251521997, 0.06647376006571348, 0.05413388282560357, 0.10402206524570541, 0.06474866442064323, 0.010059699509860721, -0.22339030648240957, 0.3664006807432487, -0.08147206787792284, 0.21066863555461168, 0.15543756316552257, 0.026482939788299364, -0.030861326635292754, -0.017908554649116788, -0.05690640834069288, -0.1146546444638594, 0.13330842774622598, 0.21180795072989606, 0.13203856308388, 0.1741358733781409, -0.4167670620287337, -0.15507013109944215, 0.05495854874891115, 0.20665863399371143, 0.17361085472355892, -0.08188285758270224, -0.36950887367129326, 0.08047480947088177, -0.1557593387097302, -0.14157399928151834, -0.12242595892876568, 0.03447691594227785, -0.017929628814383206, -0.26541781031935496, 0.07362886329703941, -0.001279234471617312, 0.04878425207727293, -0.09518179239523483, -0.25031952652086437, -0.03569904289196995, 0.034243848807996184, 0.10659706158699786, 0.10237665961087658, 0.13014639229101993, -0.18843785499892673, -0.18711303562499446, 0.3582111220443394, -0.10590261723292514, -0.18991418494615794, 0.1481598300359598, -0.13826498473290263, -0.13741474596942524, 0.0469050271800015, 0.22720646299421787, 0.056245243841237046, -0.11995458843686231, 0.034331909829833, -0.05873564404162874, 0.1347209770081951, 0.06076146537301744, 0.13711223364580513, 0.21374907910187796, 0.11613621639950973, -0.07213770185324658, 0.06625980568237648, -0.05226504989820192, -0.08454461152688032, -0.36161645522295705, -0.11555647273993733, -0.13252860556424753, 0.0503775432490085, 0.0056637122796950636, -0.052809512458469085, 0.45329195904977077, 0.06881538021559941, 0.3063169070860235, -0.036579425393272955, 0.2892926470490127, 0.02564202676947433, 0.014946372520814582, 0.12152953675334774, 0.29679303258130746, 0.25044398221028286, 0.11552967211208874, -0.23460897142578643, -0.07647881705403362, 0.02109409172496781] |
712.3014 | Non-perturbative QCD effects in jets at hadron colliders | We discuss non-perturbative QCD contributions to jet observables, computing
their dependence on the jet radius R, and on the colour and transverse momentum
of the parton initiating the jet. We show, using analytic QCD models of power
corrections as well as Monte Carlo simulations, that hadronisation corrections
grow at small values of R, behaving as 1/R, while underlying event
contributions grow with the jet area as R^2. We highlight the connection
between hadronisation corrections to jets and those for event shapes in e^+e^-
and DIS; we note the limited dependence of our results on the choice of jet
algorithm; finally, we propose several measurements in the context of which to
test or implement our predictions. The results presented here reinforce the
motivation for the use of a range of R values, as well as a plurality of
infrared-safe jet algorithms, in precision jet studies at hadron colliders.
| hep-ph | we discuss nonperturbative qcd contributions to jet observables computing their dependence on the jet radius r and on the colour and transverse momentum of the parton initiating the jet we show using analytic qcd models of power corrections as well as monte carlo simulations that hadronisation corrections grow at small values of r behaving as 1r while underlying event contributions grow with the jet area as r2 we highlight the connection between hadronisation corrections to jets and those for event shapes in ee and dis we note the limited dependence of our results on the choice of jet algorithm finally we propose several measurements in the context of which to test or implement our predictions the results presented here reinforce the motivation for the use of a range of r values as well as a plurality of infraredsafe jet algorithms in precision jet studies at hadron colliders | [['we', 'discuss', 'nonperturbative', 'qcd', 'contributions', 'to', 'jet', 'observables', 'computing', 'their', 'dependence', 'on', 'the', 'jet', 'radius', 'r', 'and', 'on', 'the', 'colour', 'and', 'transverse', 'momentum', 'of', 'the', 'parton', 'initiating', 'the', 'jet', 'we', 'show', 'using', 'analytic', 'qcd', 'models', 'of', 'power', 'corrections', 'as', 'well', 'as', 'monte', 'carlo', 'simulations', 'that', 'hadronisation', 'corrections', 'grow', 'at', 'small', 'values', 'of', 'r', 'behaving', 'as', '1r', 'while', 'underlying', 'event', 'contributions', 'grow', 'with', 'the', 'jet', 'area', 'as', 'r2', 'we', 'highlight', 'the', 'connection', 'between', 'hadronisation', 'corrections', 'to', 'jets', 'and', 'those', 'for', 'event', 'shapes', 'in', 'ee', 'and', 'dis', 'we', 'note', 'the', 'limited', 'dependence', 'of', 'our', 'results', 'on', 'the', 'choice', 'of', 'jet', 'algorithm', 'finally', 'we', 'propose', 'several', 'measurements', 'in', 'the', 'context', 'of', 'which', 'to', 'test', 'or', 'implement', 'our', 'predictions', 'the', 'results', 'presented', 'here', 'reinforce', 'the', 'motivation', 'for', 'the', 'use', 'of', 'a', 'range', 'of', 'r', 'values', 'as', 'well', 'as', 'a', 'plurality', 'of', 'infraredsafe', 'jet', 'algorithms', 'in', 'precision', 'jet', 'studies', 'at', 'hadron', 'colliders']] | [-0.05290688147933102, 0.10621274772043131, -0.13024956423181053, 0.1379850086562817, -0.06669209067564026, -0.06788633743516442, 0.008971639018708549, 0.41168337177206465, -0.19573403297461012, -0.30040329360865614, 0.0567164634375003, -0.3091967647426388, -0.02370377493623112, 0.19421377912841636, 0.03247518701396477, 0.08721974154884395, 0.06842875474316328, -0.040730703305326355, -0.08678715362619026, -0.1874639155853185, 0.3122456251646766, 0.11926310660228842, 0.19063408505868445, 0.13670482574233495, 0.08805297893237601, 0.03621299265880695, -0.08154447025106269, 0.03789259104191193, -0.17129862441256252, 0.047377184742972964, 0.21129252275620405, 0.08301022635189956, 0.19112896349082692, -0.3738302566510226, -0.1411441561952471, 0.0505529620152499, 0.15404070149568624, 0.07771844075767792, -0.026339971915768066, -0.20172307957090488, 0.0895866887916361, -0.26057536951994814, -0.12968724965257253, -0.09304244661082824, -0.00831580136706229, 0.037630393254953966, -0.29831957844320406, 0.05500348842683799, 0.008582396535709703, 0.023120359037519706, 0.032897912113148034, -0.14266113280857198, -0.03446747663234468, 0.08551252682354352, 0.14324727134310267, 0.08238421154024751, 0.1984342347868547, -0.19669509712340577, -0.19790838997760396, 0.40035512535294304, -0.011016826790386848, -0.16147929640347455, 0.16667018745563367, -0.21217146289667912, -0.16978751107112688, 0.08084571404623336, 0.24207587990090948, 0.12489921782762889, -0.07007460719842439, 0.06708455747658652, 0.016530137754213317, 0.10624251476660067, 0.025023899069626113, 0.07838731700377095, 0.19670789795262472, 0.15227991115732664, -0.03487112321795858, 0.10277700311105166, -0.12437648973807845, -0.08754860894235016, -0.42096937932454204, -0.09531026464082351, -0.15152600543180697, 0.045857509329667964, -0.13878682824635727, -0.14247853645332614, 0.3685266176859538, 0.14430250302527328, 0.27904760634818043, 0.08534655892401047, 0.33201673948744526, 0.049831155829328004, 0.07008517289306132, 0.10101846475027451, 0.2691761016208983, 0.12607675672945928, 0.13024608302246907, -0.2449314821270757, 0.04195128882709308, 0.06237316061960387] |
712.3015 | A Spectral sequence for polynomially bounded cohomology | We construct an analogue of the Lyndon-Hochschild-Serre spectral sequence in
the context of polynomial cohomology, for group extensions. If G is an
extension of Q by H, then the spectral sequence converges to the polynomial
cohomology of G. For the polynomial extensions of Noskov with normal subgroup
isocohomological, the E_2 term is the polynomial cohomology of Q with
coefficients in the polynomial cohomology of H. When both Q and H are
isocohomological G must be as well. By referencing results of Connes-Moscovici
and Noskov, if Q and H are both isocohomological and have the Rapid Decay
property of Jolissaint, then G satisfies the Novikov Conjecture.
| math.KT math.GR | we construct an analogue of the lyndonhochschildserre spectral sequence in the context of polynomial cohomology for group extensions if g is an extension of q by h then the spectral sequence converges to the polynomial cohomology of g for the polynomial extensions of noskov with normal subgroup isocohomological the e_2 term is the polynomial cohomology of q with coefficients in the polynomial cohomology of h when both q and h are isocohomological g must be as well by referencing results of connesmoscovici and noskov if q and h are both isocohomological and have the rapid decay property of jolissaint then g satisfies the novikov conjecture | [['we', 'construct', 'an', 'analogue', 'of', 'the', 'lyndonhochschildserre', 'spectral', 'sequence', 'in', 'the', 'context', 'of', 'polynomial', 'cohomology', 'for', 'group', 'extensions', 'if', 'g', 'is', 'an', 'extension', 'of', 'q', 'by', 'h', 'then', 'the', 'spectral', 'sequence', 'converges', 'to', 'the', 'polynomial', 'cohomology', 'of', 'g', 'for', 'the', 'polynomial', 'extensions', 'of', 'noskov', 'with', 'normal', 'subgroup', 'isocohomological', 'the', 'e_2', 'term', 'is', 'the', 'polynomial', 'cohomology', 'of', 'q', 'with', 'coefficients', 'in', 'the', 'polynomial', 'cohomology', 'of', 'h', 'when', 'both', 'q', 'and', 'h', 'are', 'isocohomological', 'g', 'must', 'be', 'as', 'well', 'by', 'referencing', 'results', 'of', 'connesmoscovici', 'and', 'noskov', 'if', 'q', 'and', 'h', 'are', 'both', 'isocohomological', 'and', 'have', 'the', 'rapid', 'decay', 'property', 'of', 'jolissaint', 'then', 'g', 'satisfies', 'the', 'novikov', 'conjecture']] | [-0.1615162838919504, 0.09733752896969695, -0.09398840678837693, 0.00643349897559479, -0.09001648124054219, -0.1456996339545088, -0.06291554130170747, 0.3445867465207697, -0.37706915498937216, -0.24972396591244247, 0.11618465807704816, -0.23443639780919168, -0.10514700081814261, 0.17024920454013695, -0.1024526090347615, -0.009072326790559495, 0.05269467571605612, 0.14104716949282414, -0.045102901652780844, -0.29869071464280333, 0.3560875022006266, -0.03496578602500043, 0.14297220131689772, 0.03513496028241313, 0.04718456741024568, -0.012236248502887568, -0.020753256633009726, -0.05451905083598443, -0.16260207205269378, 0.053435293107646185, 0.2641548229182519, 0.08518073404008902, 0.23342661859775052, -0.31155794070473, -0.09702281913837617, 0.23408873149564544, 0.14877895664568375, -0.05242627735466705, 0.006288831393478565, -0.2390072334873393, 0.18117818758976692, -0.184603099121251, -0.12698115094664317, -0.062139701559343966, 0.14863114132437386, 0.05091984566409611, -0.3165191023890833, 0.029638014806127086, 0.10645791898296188, 0.11109688904281091, -0.014264919089822515, -0.10319153917049176, -0.08332990319015983, 0.05423139651827017, -0.010468580476935158, 0.06706623452290603, 0.0442222453192107, -0.11512405097086742, -0.12747901170491918, 0.3982865138395319, -0.15004678958014234, -0.17481150711407362, 0.06258697690695379, -0.1907204282063159, -0.1857700578018444, 0.10451408463882879, 0.010075109495410642, 0.15938473260934347, 0.0210207190687567, 0.25857795678526707, -0.1022858542561965, 0.07391753639953519, 0.09236948533001745, -0.005944038488115501, 0.09643242099476092, 0.03338342220341624, 0.08490891271108056, 0.12510869927021664, -0.005755176898815389, 0.03879926020496534, -0.3577225161716342, -0.1984806919054499, -0.16746895505766413, 0.0972602590647282, -0.14325429451170388, -0.14108239261668573, 0.39468866557750887, 0.022554279092554617, 0.17976267329299622, 0.1286273887290538, 0.19214248056839972, 0.14237625442006743, 0.04218825065865389, 0.0804841868190583, 0.09483213722253743, 0.24919608545046554, -0.040213756959487514, -0.19916848977123505, 0.016204740992268023, 0.21683512457637388] |
712.3016 | Generation and detection of a spin entanglement in nonequilibrium
quantum dots | Spin entanglement between two spatially separated electrons can be generated
in nonequilibrium interacting quantum dots, coherently coupled to a common
lead. In this system entangled two-electron states develop which are Werner
states with an imbalance between singlet and triplet probabilities. We propose
a multi-terminal, multiply-connected setup for the generation and detection of
this imbalance. In particular, we identify a regime in which the formation of
spin entanglement leads to a cancellation of Aharonov-Bohm oscillations.
| cond-mat.mes-hall | spin entanglement between two spatially separated electrons can be generated in nonequilibrium interacting quantum dots coherently coupled to a common lead in this system entangled twoelectron states develop which are werner states with an imbalance between singlet and triplet probabilities we propose a multiterminal multiplyconnected setup for the generation and detection of this imbalance in particular we identify a regime in which the formation of spin entanglement leads to a cancellation of aharonovbohm oscillations | [['spin', 'entanglement', 'between', 'two', 'spatially', 'separated', 'electrons', 'can', 'be', 'generated', 'in', 'nonequilibrium', 'interacting', 'quantum', 'dots', 'coherently', 'coupled', 'to', 'a', 'common', 'lead', 'in', 'this', 'system', 'entangled', 'twoelectron', 'states', 'develop', 'which', 'are', 'werner', 'states', 'with', 'an', 'imbalance', 'between', 'singlet', 'and', 'triplet', 'probabilities', 'we', 'propose', 'a', 'multiterminal', 'multiplyconnected', 'setup', 'for', 'the', 'generation', 'and', 'detection', 'of', 'this', 'imbalance', 'in', 'particular', 'we', 'identify', 'a', 'regime', 'in', 'which', 'the', 'formation', 'of', 'spin', 'entanglement', 'leads', 'to', 'a', 'cancellation', 'of', 'aharonovbohm', 'oscillations']] | [-0.19901694464371414, 0.2751368166443442, -0.037637348765054264, 0.05733094199850048, 0.0705882185138762, -0.2298264059212965, 0.018355624685756158, 0.35786856067794803, -0.24764751707128174, -0.27258891310240774, -0.04269881394842791, -0.25927102583385, -0.09073958270302093, 0.1326956690314251, -0.004989472463273922, -0.009461111571589435, 0.03517118410987628, -0.037013385787832774, -0.061797241743251276, -0.18565131419313116, 0.3387166700401419, -0.038306594513218245, 0.30372489538245107, 0.06913445864778918, 0.06597121426130871, 0.006203419966245624, 0.09904002050894338, -0.02229399330964362, -0.07742021094895175, 0.12105211213300307, 0.3021703593533587, 0.0065000878483359075, 0.22711172964222529, -0.46624300810130864, -0.18762831800189372, 0.11814874000343922, 0.1648664450040087, 0.21446505817584693, -0.07037371240329703, -0.34737349777306253, -0.053797393206607654, -0.2093343365987813, -0.0686146596295608, -0.06618515229028826, -0.027781815293270187, -0.04316918111431438, -0.32211093232035637, 0.14599414911070788, 0.0330880883738172, -0.024007843631143506, -0.009050592270402892, 0.033247469428838605, -0.0007601571898605373, 0.09953273646533489, -0.04293613435348143, -0.008374551789382019, 0.08686191962349128, -0.13682151366830678, -0.21250027493649237, 0.2890831193307767, -0.07266019407747867, -0.20979743955556202, 0.19473761934283618, -0.14246263833263437, -0.09289386055457431, 0.08241216978058219, 0.14366393238054337, 0.12638322550904107, -0.15312549231787892, 0.005294170345469202, -0.045468931552022696, 0.15315185026643244, 0.05403704534133745, 0.14307033701019511, 0.3172636161356963, 0.1275248116454915, 0.10096570719788606, 0.23682083666947595, -0.15287667812427153, -0.17288455014695991, -0.29169911075685473, -0.191847443568042, -0.19783785749176466, 0.1376470996671029, 0.016790911536805356, -0.1764201174263616, 0.44881785142461994, 0.14689902140054148, 0.17471516753760846, -0.07273467912061794, 0.24267210469052597, 0.13874093015250322, 0.033614551466008696, 0.05405316518846195, 0.23519648199529714, 0.18195767768633528, 0.02550060266081788, -0.31990736843766393, 0.005690406775102019, -0.014603334387789506] |
712.3017 | Physical and chemical inhomogeneities inside the Vela SNR shell.
Indications of ejecta shrapnels | We present the results of the combined analysis of three XMM-Newton EPIC
observations of the northern rim of the Vela SNR. The three pointings cover an
area of ~10 pc^2 (at 250 pc) behind the main shock front and we aim at studying
with high resolution the spatial distribution of the physical and chemical
properties of the X-ray emitting plasma on this large scale. We produce
count-rate images and equivalent width maps of the Ne IX and Mg XI emission
blends. We also perform a spatially resolved spectral analysis of a set of
physically homogeneous regions. We reveal physical and chemical inhomogeneities
in the X-ray emitting plasma. In particular, we find large variations of the O,
Ne, Mg, and Fe abundances. In some bright knots we also find unexpectedly
enhanced Ne and Mg abundances, with values significantly larger than solar. Our
results support a possible association of a few X-ray emitting knots with
previously undetected residuals of stellar fragments (i. e. shrapnels)
observed, in projection, inside the Vela shell.
| astro-ph | we present the results of the combined analysis of three xmmnewton epic observations of the northern rim of the vela snr the three pointings cover an area of 10 pc2 at 250 pc behind the main shock front and we aim at studying with high resolution the spatial distribution of the physical and chemical properties of the xray emitting plasma on this large scale we produce countrate images and equivalent width maps of the ne ix and mg xi emission blends we also perform a spatially resolved spectral analysis of a set of physically homogeneous regions we reveal physical and chemical inhomogeneities in the xray emitting plasma in particular we find large variations of the o ne mg and fe abundances in some bright knots we also find unexpectedly enhanced ne and mg abundances with values significantly larger than solar our results support a possible association of a few xray emitting knots with previously undetected residuals of stellar fragments i e shrapnels observed in projection inside the vela shell | [['we', 'present', 'the', 'results', 'of', 'the', 'combined', 'analysis', 'of', 'three', 'xmmnewton', 'epic', 'observations', 'of', 'the', 'northern', 'rim', 'of', 'the', 'vela', 'snr', 'the', 'three', 'pointings', 'cover', 'an', 'area', 'of', '10', 'pc2', 'at', '250', 'pc', 'behind', 'the', 'main', 'shock', 'front', 'and', 'we', 'aim', 'at', 'studying', 'with', 'high', 'resolution', 'the', 'spatial', 'distribution', 'of', 'the', 'physical', 'and', 'chemical', 'properties', 'of', 'the', 'xray', 'emitting', 'plasma', 'on', 'this', 'large', 'scale', 'we', 'produce', 'countrate', 'images', 'and', 'equivalent', 'width', 'maps', 'of', 'the', 'ne', 'ix', 'and', 'mg', 'xi', 'emission', 'blends', 'we', 'also', 'perform', 'a', 'spatially', 'resolved', 'spectral', 'analysis', 'of', 'a', 'set', 'of', 'physically', 'homogeneous', 'regions', 'we', 'reveal', 'physical', 'and', 'chemical', 'inhomogeneities', 'in', 'the', 'xray', 'emitting', 'plasma', 'in', 'particular', 'we', 'find', 'large', 'variations', 'of', 'the', 'o', 'ne', 'mg', 'and', 'fe', 'abundances', 'in', 'some', 'bright', 'knots', 'we', 'also', 'find', 'unexpectedly', 'enhanced', 'ne', 'and', 'mg', 'abundances', 'with', 'values', 'significantly', 'larger', 'than', 'solar', 'our', 'results', 'support', 'a', 'possible', 'association', 'of', 'a', 'few', 'xray', 'emitting', 'knots', 'with', 'previously', 'undetected', 'residuals', 'of', 'stellar', 'fragments', 'i', 'e', 'shrapnels', 'observed', 'in', 'projection', 'inside', 'the', 'vela', 'shell']] | [-0.06513722309596016, 0.08124519436465302, -0.03683334033537124, 0.07824451299980172, -0.028992025602963708, -0.09273211378742763, 0.046616201731792116, 0.4647325529229073, -0.1931611935475043, -0.3382447605115539, 0.03591314332637315, -0.3055497622172836, -0.005123496820618, 0.1546008481066868, -0.005006464875935178, -0.058724982586638705, 0.05361457200100025, -0.09079054374818779, -0.05113414622922262, -0.202218484306849, 0.29751851974010823, 0.07728632832766466, 0.15797820647103003, 0.04385819382289247, 0.05398787648716409, -0.1190072163645666, -0.06943622896159511, 0.04166151272615285, -0.13322234418644388, 0.10120057383929157, 0.19517270393719496, 0.13751631069005402, 0.17695656184583813, -0.3751718128388304, -0.21418082248939235, 0.01665057601695437, 0.18031430797695758, -0.01654945627143163, -0.03628378616815012, -0.26147105552566546, 0.05333951710019305, -0.1401509823044762, -0.1967428301716046, 0.07783522551125359, 0.049451187866257636, 0.05988018393760458, -0.20221159666072622, 0.07875292896746292, 0.0012284334038018382, 0.10316016052993723, -0.12896842563003746, -0.1434424607099832, -0.024094290679342868, 0.06217808695094261, 0.002463801058530364, 0.005276848837855228, 0.17612439187290702, -0.11309432750585117, -0.015530055677074762, 0.3736372567114553, -0.09705017089548901, -0.027798538672782126, 0.2235719299385978, -0.24802297113637906, -0.20749640511903203, 0.24756775021697172, 0.10136467692098536, 0.13532122124161106, -0.0966611565049139, 0.03114369758328567, -0.05884915045472943, 0.2397664156354343, 0.0740489272921834, 0.08346215425297573, 0.2386240950907536, 0.11542317420770858, 0.006416462255098547, 0.1299027442527447, -0.30451942323235837, -0.011852158915731013, -0.2916042827446723, -0.14514279773547537, -0.0916656735270018, 0.07401794606925077, -0.15826607914858046, -0.14626920181382003, 0.38317897783625604, 0.12186188411544122, 0.2201482363133913, -0.006615076403942935, 0.28368333223625086, 0.04600893187489419, 0.03864911916233333, 0.13421338279676137, 0.2564532190564413, 0.17175973230595923, 0.11129402469322529, -0.24065303618027384, 0.04681155516854709, -0.022034778331761203] |
712.3018 | SLE and the free field: Partition functions and couplings | Schramm-Loewner Evolutions ($\SLE$) are random curves in planar simply
connected domains; the massless (Euclidean) free field in such a domain is a
random distribution. Both have conformal invariance properties in law. In the
present article, some relations between the two objects are studied. We
establish identities of partition functions between different versions of
$\SLE$ and the free field with appropriate boundary conditions; this involves
$\zeta$-regularization and the Polyakov-Alvarez conformal anomaly formula. We
proceed with a construction of couplings of $\SLE$ with the free field, showing
that, in a precise sense, chordal $\SLE$ is the solution of a stochastic
"differential" equation driven by the free field. Existence, uniqueness in law,
and pathwise uniqueness for these SDEs are proved for general $\kappa>0$.
| math.PR | schrammloewner evolutions sle are random curves in planar simply connected domains the massless euclidean free field in such a domain is a random distribution both have conformal invariance properties in law in the present article some relations between the two objects are studied we establish identities of partition functions between different versions of sle and the free field with appropriate boundary conditions this involves zetaregularization and the polyakovalvarez conformal anomaly formula we proceed with a construction of couplings of sle with the free field showing that in a precise sense chordal sle is the solution of a stochastic differential equation driven by the free field existence uniqueness in law and pathwise uniqueness for these sdes are proved for general kappa0 | [['schrammloewner', 'evolutions', 'sle', 'are', 'random', 'curves', 'in', 'planar', 'simply', 'connected', 'domains', 'the', 'massless', 'euclidean', 'free', 'field', 'in', 'such', 'a', 'domain', 'is', 'a', 'random', 'distribution', 'both', 'have', 'conformal', 'invariance', 'properties', 'in', 'law', 'in', 'the', 'present', 'article', 'some', 'relations', 'between', 'the', 'two', 'objects', 'are', 'studied', 'we', 'establish', 'identities', 'of', 'partition', 'functions', 'between', 'different', 'versions', 'of', 'sle', 'and', 'the', 'free', 'field', 'with', 'appropriate', 'boundary', 'conditions', 'this', 'involves', 'zetaregularization', 'and', 'the', 'polyakovalvarez', 'conformal', 'anomaly', 'formula', 'we', 'proceed', 'with', 'a', 'construction', 'of', 'couplings', 'of', 'sle', 'with', 'the', 'free', 'field', 'showing', 'that', 'in', 'a', 'precise', 'sense', 'chordal', 'sle', 'is', 'the', 'solution', 'of', 'a', 'stochastic', 'differential', 'equation', 'driven', 'by', 'the', 'free', 'field', 'existence', 'uniqueness', 'in', 'law', 'and', 'pathwise', 'uniqueness', 'for', 'these', 'sdes', 'are', 'proved', 'for', 'general', 'kappa0']] | [-0.16930020714624777, 0.15321684722542106, -0.10985366082231772, 0.09387384243642113, -0.09455134952636514, -0.14483494871538602, -0.030420186289609605, 0.3633079896720142, -0.2687071372535737, -0.23785364649751606, 0.11803283799682282, -0.267541350608989, -0.15453519717547573, 0.18608218035465027, -0.06479340195734085, 0.0891087026757916, 0.020506788074516325, 0.025298093719517484, -0.046033894623621924, -0.2057668777112262, 0.367297722198883, -0.0940316942825663, 0.23768050593770101, 0.019795190281735563, 0.12666385571918443, 0.033782373663789333, -0.026296131238497857, 0.04062476250178674, -0.21087871753531676, 0.09632509790493973, 0.2157917877465013, 0.06154315816942884, 0.21052170223986902, -0.4052676882266122, -0.20331292082418634, 0.11013617052328813, 0.1213521913817532, 0.06312323858210143, -0.03679002157486819, -0.2614753307743358, 0.058509520020242, -0.07065259719251835, -0.21832764446891906, -0.0481066822540015, 0.026191927799798485, 0.06471026685683667, -0.25966706711157156, 0.11444849166784342, 0.08767996181366074, 0.09224447996958214, -0.0830840882649567, -0.0268318101933946, -0.02007394188921116, 0.10782428258176924, 0.07118737688209831, 0.027580704530720607, 0.06431176037793714, -0.15056340557429157, -0.14134915080801935, 0.31495254195271793, -0.07871023527964824, -0.27864484755056246, 0.16822232805513346, -0.18473917267387027, -0.16680535372393598, 0.06730691182325367, 0.07369748740887441, 0.16764935687785487, -0.2135653434665639, 0.20166699473106325, -0.03681918055096939, 0.04315377165418619, 0.09533977747245245, -0.015519312165673635, 0.16716831465478704, 0.08379817669506834, 0.08112062038971159, 0.17122816491750764, 0.030604034542896542, -0.1474986445186112, -0.38292226621082853, -0.19704056143620788, -0.14383257527937407, 0.10643773624563918, -0.19468010478702416, -0.21315696215679666, 0.3406575857074696, 0.11930120250130925, 0.1607163171753475, 0.13160863870113088, 0.1882077951234679, 0.1722250396871016, 0.01707387581358061, 0.09712021483280578, 0.1715545971780534, 0.21058499451116228, 0.09372504962365605, -0.17520889664213604, 0.013847374693811441, 0.14332030466640322] |
712.3019 | When Do Random Subsets Decompose a Finite Group? | Let A,B be two random subsets of a finite group G. We consider the event that
the products of elements from A and B span the whole group; i.e. (AB union BA)
= G. The study of this event gives rise to a group invariant we call \Theta(G).
\Theta(G) is between 1/2 and 1, and is 1 if and only if the group is abelian.
We show that a phase transition occurs as the size of A and B passes
\sqrt{\Theta(G)|G|\log|G|}; i.e. for any c>0, if the size of A and B is less
than (1-c)\sqrt{\Theta(G)|G|\log|G|}, then with high probability (AB union BA)
does not equal G. If A and B are larger than (1+c)\sqrt{\Theta(G)|G|\log|G|}
then (AB union BA) equals G with high probability.
| math.PR math.GR | let ab be two random subsets of a finite group g we consider the event that the products of elements from a and b span the whole group ie ab union ba g the study of this event gives rise to a group invariant we call thetag thetag is between 12 and 1 and is 1 if and only if the group is abelian we show that a phase transition occurs as the size of a and b passes sqrtthetagglogg ie for any c0 if the size of a and b is less than 1csqrtthetagglogg then with high probability ab union ba does not equal g if a and b are larger than 1csqrtthetagglogg then ab union ba equals g with high probability | [['let', 'ab', 'be', 'two', 'random', 'subsets', 'of', 'a', 'finite', 'group', 'g', 'we', 'consider', 'the', 'event', 'that', 'the', 'products', 'of', 'elements', 'from', 'a', 'and', 'b', 'span', 'the', 'whole', 'group', 'ie', 'ab', 'union', 'ba', 'g', 'the', 'study', 'of', 'this', 'event', 'gives', 'rise', 'to', 'a', 'group', 'invariant', 'we', 'call', 'thetag', 'thetag', 'is', 'between', '12', 'and', '1', 'and', 'is', '1', 'if', 'and', 'only', 'if', 'the', 'group', 'is', 'abelian', 'we', 'show', 'that', 'a', 'phase', 'transition', 'occurs', 'as', 'the', 'size', 'of', 'a', 'and', 'b', 'passes', 'sqrtthetagglogg', 'ie', 'for', 'any', 'c0', 'if', 'the', 'size', 'of', 'a', 'and', 'b', 'is', 'less', 'than', '1csqrtthetagglogg', 'then', 'with', 'high', 'probability', 'ab', 'union', 'ba', 'does', 'not', 'equal', 'g', 'if', 'a', 'and', 'b', 'are', 'larger', 'than', '1csqrtthetagglogg', 'then', 'ab', 'union', 'ba', 'equals', 'g', 'with', 'high', 'probability']] | [-0.15537221142246077, 0.18621066474976639, -0.05484914983195874, -0.004776954062011404, -0.03588577139889822, -0.14827236594088997, 0.0916024959878996, 0.3794492124269406, -0.2628094896130885, -0.2371150498356049, 0.08443205926644927, -0.3197419100011757, -0.08640593433131774, 0.14053304551634938, -0.05573106674128212, -0.10737002533860504, 0.0755754281495077, 0.156018310575746, -0.11236569708077392, -0.22103792152871998, 0.3066184326269043, -0.06186124825229247, 0.1961447356501594, -0.011337409106393656, 0.06997602063929662, 0.019008107968450833, 0.005284184286332068, 0.08516964839266923, -0.1340509210370025, 0.05041421036391209, 0.1880883802252356, 0.1499641507708778, 0.26968116920130947, -0.33362845674079533, -0.14357877986039966, 0.1956210463521226, 0.126554586191196, 0.004158254880167078, 0.009441442337508004, -0.20979701828133937, 0.19845489002182148, -0.16857139001755664, -0.06597740124755849, 0.0045934643053139245, 0.16630684916550914, 0.022624450004271542, -0.3297846331998395, 0.013482489025530715, 0.05753120413088861, 0.07997216395257661, -0.005347062798682601, -0.14158833106048405, -0.06779134845516334, 0.09678169674783324, -0.033103531471958075, 0.11447175834109657, 0.06722470079160606, -0.05326023659242007, -0.0654263749330615, 0.4586103426292539, -0.08979372742784714, -0.14027090919359278, 0.16667894079970816, -0.24038504428075005, -0.11519416723555574, 0.1285878994114076, 0.10047859620923798, 0.1361452115039962, -0.035976964382765195, 0.1568718809755713, -0.08420796779294809, 0.16681013208193082, 0.04560660420684144, -0.027800089539960028, 0.15673754681677868, 0.1287860696747278, 0.11642980739707127, 0.08436046482044428, -0.08038883312062049, 0.04330274001088886, -0.33045919897655646, -0.17968799543644612, -0.18279779836690674, 0.11951301838477472, -0.09137402089072566, -0.17665803963318466, 0.3548149422587206, 0.07031803817177812, 0.21645591381626825, 0.05745504609464357, 0.21098710159227874, 0.08065101865892453, 0.04556826611321109, 0.1376030160075364, 0.1303355046082288, 0.1563337846271073, -0.08863132454765339, -0.163294815524326, 0.03859630493680015, 0.08995895992654065] |
712.302 | Operating Regimes of Signaling Cycles: Statics, Dynamics, and Noise
Filtering | A ubiquitous building block of signaling pathways is a cycle of covalent
modification (e.g., phosphorylation and dephosphorylation in MAPK cascades).
Our paper explores the kind of information processing and filtering that can be
accomplished by this simple biochemical circuit.
Signaling cycles are particularly known for exhibiting a highly sigmoidal
(ultrasensitive) input-output characteristic in a certain steady-state regime.
Here we systematically study the cycle's steady-state behavior and its response
to time-varying stimuli. We demonstrate that the cycle can actually operate in
four different regimes, each with its specific input-output characteristics.
These results are obtained using the total quasi-steady-state approximation,
which is more generally valid than the typically used Michaelis-Menten
approximation for enzymatic reactions. We invoke experimental data that
suggests the possibility of signaling cycles operating in one of the new
regimes.
We then consider the cycle's dynamic behavior, which has so far been
relatively neglected. We demonstrate that the intrinsic architecture of the
cycles makes them act - in all four regimes - as tunable low-pass filters,
filtering out high-frequency fluctuations or noise in signals and environmental
cues. Moreover, the cutoff frequency can be adjusted by the cell. Numerical
simulations show that our analytical results hold well even for noise of large
amplitude. We suggest that noise filtering and tunability make signaling cycles
versatile components of more elaborate cell signaling pathways.
| q-bio.MN q-bio.BM q-bio.QM q-bio.SC | a ubiquitous building block of signaling pathways is a cycle of covalent modification eg phosphorylation and dephosphorylation in mapk cascades our paper explores the kind of information processing and filtering that can be accomplished by this simple biochemical circuit signaling cycles are particularly known for exhibiting a highly sigmoidal ultrasensitive inputoutput characteristic in a certain steadystate regime here we systematically study the cycles steadystate behavior and its response to timevarying stimuli we demonstrate that the cycle can actually operate in four different regimes each with its specific inputoutput characteristics these results are obtained using the total quasisteadystate approximation which is more generally valid than the typically used michaelismenten approximation for enzymatic reactions we invoke experimental data that suggests the possibility of signaling cycles operating in one of the new regimes we then consider the cycles dynamic behavior which has so far been relatively neglected we demonstrate that the intrinsic architecture of the cycles makes them act in all four regimes as tunable lowpass filters filtering out highfrequency fluctuations or noise in signals and environmental cues moreover the cutoff frequency can be adjusted by the cell numerical simulations show that our analytical results hold well even for noise of large amplitude we suggest that noise filtering and tunability make signaling cycles versatile components of more elaborate cell signaling pathways | [['a', 'ubiquitous', 'building', 'block', 'of', 'signaling', 'pathways', 'is', 'a', 'cycle', 'of', 'covalent', 'modification', 'eg', 'phosphorylation', 'and', 'dephosphorylation', 'in', 'mapk', 'cascades', 'our', 'paper', 'explores', 'the', 'kind', 'of', 'information', 'processing', 'and', 'filtering', 'that', 'can', 'be', 'accomplished', 'by', 'this', 'simple', 'biochemical', 'circuit', 'signaling', 'cycles', 'are', 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712.3021 | Modular classes of Lie algebroid morphisms | We study the behavior of the modular class of a Lie algebroid under general
Lie algebroid morphisms by introducing the relative modular class. We
investigate the modular classes of pull-back morphisms and of base-preserving
morphisms associated to Lie algebroid extensions. We also define generalized
morphisms, including Morita equivalences, that act on the 1-cohomology, and
observe that the relative modular class is a coboundary on the category of Lie
algebroids and generalized morphisms with values in the 1-cohomology.
| math.DG math.SG | we study the behavior of the modular class of a lie algebroid under general lie algebroid morphisms by introducing the relative modular class we investigate the modular classes of pullback morphisms and of basepreserving morphisms associated to lie algebroid extensions we also define generalized morphisms including morita equivalences that act on the 1cohomology and observe that the relative modular class is a coboundary on the category of lie algebroids and generalized morphisms with values in the 1cohomology | [['we', 'study', 'the', 'behavior', 'of', 'the', 'modular', 'class', 'of', 'a', 'lie', 'algebroid', 'under', 'general', 'lie', 'algebroid', 'morphisms', 'by', 'introducing', 'the', 'relative', 'modular', 'class', 'we', 'investigate', 'the', 'modular', 'classes', 'of', 'pullback', 'morphisms', 'and', 'of', 'basepreserving', 'morphisms', 'associated', 'to', 'lie', 'algebroid', 'extensions', 'we', 'also', 'define', 'generalized', 'morphisms', 'including', 'morita', 'equivalences', 'that', 'act', 'on', 'the', '1cohomology', 'and', 'observe', 'that', 'the', 'relative', 'modular', 'class', 'is', 'a', 'coboundary', 'on', 'the', 'category', 'of', 'lie', 'algebroids', 'and', 'generalized', 'morphisms', 'with', 'values', 'in', 'the', '1cohomology']] | [-0.218750141193404, 0.025176153303810248, -0.036731178412753106, 0.12340972190998543, -0.20817722600737684, -0.13246356492469968, -0.04378998146919338, 0.3977584404086596, -0.462445544275014, -0.19891351330290108, 0.04471398479654454, -0.18187673926647557, -0.2160525086801499, 0.1850307684293703, -0.21602259360645948, -0.08673316791272985, 0.06952955082402025, 0.14551897953558518, -0.1702299422988864, -0.20268753418656016, 0.6034621937494529, -0.008482534343401264, 0.24942833382642435, -0.014528862412829002, 0.13438649239067577, -0.03234782150799507, 0.01741360827643228, -0.037878820084427535, -0.1431142702864523, 0.129643651080857, 0.3439672882423589, -0.012472709015894094, 0.1438260303801048, -0.29850124942726997, -0.04346957389804486, 0.21904332597592943, 0.034881412903288084, -0.055441798152107945, 0.0011416727425775637, -0.3559638081902736, 0.07578849965265315, -0.23132169447643192, -0.09143926393344852, -0.1405764252903234, 0.03611329353052976, 0.05162532595108802, -0.17485091323032975, -0.08177890652203994, 0.13291959159515068, 0.18720057605471657, -0.11894364112154826, -0.039998478346541036, -0.10791739241808261, 0.026396311072044466, -0.08526448552852105, -0.028201181248541138, 0.19580996325116998, -0.08224385503930726, -0.13589214742502295, 0.3976202491474779, -0.06391175535482992, -0.24994521382215776, 0.11717113984846755, -0.10705600700365674, -0.2763362362196571, 0.07583292984207601, 0.041534813218995145, 0.15336475431257368, -0.032757995515375546, 0.20241854854286526, -0.1133298871082891, -0.0396766400356826, 0.13167466574936712, 0.024381342562264763, 0.11785816955135058, 0.11024255831848438, 0.02262270673619289, 0.1476215171247819, 0.04815905974292515, -0.06889103280110775, -0.39509645084801476, -0.21923316525613987, 0.05970739504003799, 0.14930291970162407, -0.1199295802685619, -0.18116477962681338, 0.4690261329524219, 0.13547561394884006, 0.18712441072995334, 0.25660040879033896, 0.09207828270308183, 0.07023023073806574, 0.16391861078476436, 0.03194601725982992, 0.16807765432167798, 0.32664753844973776, -0.05821652005818721, -0.07208888326452947, -0.08289723659828796, 0.23972455864331046] |
712.3022 | Can the flyby anomalies be explained by a modification of inertia? | The flyby anomalies are unexplained velocity increases of 3.9, 13.5, 0.1 and
1.8 mm/s observed near closest approach during the Earth flybys of the Galileo,
NEAR, Cassini and Rosetta spacecraft. Here, these flybys are modelled using a
theory that assumes that inertia is caused by a form of Unruh radiation,
modified by a Hubble-scale Casimir effect. This theory predicts that when the
craft's accelerations relative to the galactic centre approached zero near
closest approach, their inertial masses reduced for about 10^-7 s causing
Earthward jumps of 2.6, 1.2, 1.4 and 1.9 mm/s respectively, and, to conserve
angular momentum, increases in orbital velocity of a few mm/s that, except
NEAR's, were quite close to those observed. However, these results were
extremely sensitive to the Hubble constant used. As an experimental test of
these ideas, it is proposed that metamaterials could be used to bend Unruh
radiation around objects, possibly reducing their inertial mass.
| astro-ph physics.gen-ph | the flyby anomalies are unexplained velocity increases of 39 135 01 and 18 mms observed near closest approach during the earth flybys of the galileo near cassini and rosetta spacecraft here these flybys are modelled using a theory that assumes that inertia is caused by a form of unruh radiation modified by a hubblescale casimir effect this theory predicts that when the crafts accelerations relative to the galactic centre approached zero near closest approach their inertial masses reduced for about 107 s causing earthward jumps of 26 12 14 and 19 mms respectively and to conserve angular momentum increases in orbital velocity of a few mms that except nears were quite close to those observed however these results were extremely sensitive to the hubble constant used as an experimental test of these ideas it is proposed that metamaterials could be used to bend unruh radiation around objects possibly reducing their inertial mass | [['the', 'flyby', 'anomalies', 'are', 'unexplained', 'velocity', 'increases', 'of', '39', '135', '01', 'and', '18', 'mms', 'observed', 'near', 'closest', 'approach', 'during', 'the', 'earth', 'flybys', 'of', 'the', 'galileo', 'near', 'cassini', 'and', 'rosetta', 'spacecraft', 'here', 'these', 'flybys', 'are', 'modelled', 'using', 'a', 'theory', 'that', 'assumes', 'that', 'inertia', 'is', 'caused', 'by', 'a', 'form', 'of', 'unruh', 'radiation', 'modified', 'by', 'a', 'hubblescale', 'casimir', 'effect', 'this', 'theory', 'predicts', 'that', 'when', 'the', 'crafts', 'accelerations', 'relative', 'to', 'the', 'galactic', 'centre', 'approached', 'zero', 'near', 'closest', 'approach', 'their', 'inertial', 'masses', 'reduced', 'for', 'about', '107', 's', 'causing', 'earthward', 'jumps', 'of', '26', '12', '14', 'and', '19', 'mms', 'respectively', 'and', 'to', 'conserve', 'angular', 'momentum', 'increases', 'in', 'orbital', 'velocity', 'of', 'a', 'few', 'mms', 'that', 'except', 'nears', 'were', 'quite', 'close', 'to', 'those', 'observed', 'however', 'these', 'results', 'were', 'extremely', 'sensitive', 'to', 'the', 'hubble', 'constant', 'used', 'as', 'an', 'experimental', 'test', 'of', 'these', 'ideas', 'it', 'is', 'proposed', 'that', 'metamaterials', 'could', 'be', 'used', 'to', 'bend', 'unruh', 'radiation', 'around', 'objects', 'possibly', 'reducing', 'their', 'inertial', 'mass']] | [-0.11960297320221894, 0.23575301276679583, -0.0773969703985035, 0.07453159373146359, -0.06944587443170971, -0.11226411892321746, 0.02290528899328293, 0.3496163301686848, -0.2190185463190765, -0.3930698008840217, 0.07108274237084276, -0.2966253272515084, -0.09577701902966701, 0.2188362972611733, -0.08047312502075281, 0.027533630922430587, 0.0376312170234374, 0.01913673162313276, -0.07127649773151222, -0.2063004554733389, 0.2157032003405651, 0.13169362558983266, 0.16117993387773535, 0.001253913028018647, 0.11180830382018987, -0.08162887520876738, -0.007426240096959334, 0.03280325245577842, -0.12107704681813247, 0.043843129632908755, 0.2081155473700308, 0.062186290979489536, 0.2299741546923638, -0.38075811814173666, -0.17878240411856064, 0.049819638073370844, 0.1397327436532482, 0.06766266365670354, -0.031833758516433205, -0.2950381481848461, 0.09094170524545725, -0.18763074202855168, -0.2026018423524587, 0.001615343125242936, 0.07192580503301303, -0.02655678584415, -0.21002436810445752, 0.11759976312628408, 0.01699916323468642, 0.06588146883663476, -0.14884256649345748, -0.13596227292375834, -0.052952127235537196, 0.09382471667336895, 0.10839534287132617, 0.06502502374611427, 0.2106340008444692, -0.04163345368272674, -0.06398096988452476, 0.41349444858803364, -0.05588373290122131, -0.0744446131100535, 0.21639468898310474, -0.21063331010947495, -0.08007222365497575, 0.1855063249332536, 0.15120171045476272, 0.09284556118195485, -0.12292084425404794, 0.0039008811198934716, 0.011586584772311127, 0.1386733173980917, 0.1506202283290852, -0.0014387298479529196, 0.27502097275206133, 0.0575130586573658, 0.02847443199348881, 0.033871053118338365, -0.2034850782304267, -0.07252311221428069, -0.2606034728631034, -0.09766794270131197, -0.18960601906598495, 0.04742160029433619, -0.09859818665542039, -0.07558619358123427, 0.27312975187363153, 0.1863450652423413, 0.21550798652644612, -0.010677137170109506, 0.27464953158663485, 0.0752157441234694, 0.09634542349254173, 0.11515864191154067, 0.3768216285771862, 0.11999736968305354, 0.1322819053250561, -0.2408717785851638, 0.03106716342153959, 0.013231802452968336] |
712.3023 | Renormalisation-induced phase transitions for unimodal maps | The thermodynamical formalism is studied for renormalisable maps of the
interval and the natural potential $-t \log|Df|$. Multiple and indeed
infinitely many phase transitions at positive $t$ can occur for some quadratic
maps. All unimodal quadratic maps with positive topological entropy exhibit a
phase transition in the negative spectrum.
| math.DS | the thermodynamical formalism is studied for renormalisable maps of the interval and the natural potential t logdf multiple and indeed infinitely many phase transitions at positive t can occur for some quadratic maps all unimodal quadratic maps with positive topological entropy exhibit a phase transition in the negative spectrum | [['the', 'thermodynamical', 'formalism', 'is', 'studied', 'for', 'renormalisable', 'maps', 'of', 'the', 'interval', 'and', 'the', 'natural', 'potential', 't', 'logdf', 'multiple', 'and', 'indeed', 'infinitely', 'many', 'phase', 'transitions', 'at', 'positive', 't', 'can', 'occur', 'for', 'some', 'quadratic', 'maps', 'all', 'unimodal', 'quadratic', 'maps', 'with', 'positive', 'topological', 'entropy', 'exhibit', 'a', 'phase', 'transition', 'in', 'the', 'negative', 'spectrum']] | [-0.19101712895402065, 0.21138736132221916, -0.05755775481035622, 0.11481354074445942, 0.011013676198975494, -0.21903409392689355, 0.018863676736752193, 0.34706764148237806, -0.292150179312254, -0.23271866352297366, 0.05956044234092891, -0.3466734196602677, -0.17870685217591623, 0.1629032123989115, 0.03302699589403346, 0.09365571779198945, -0.055290479077181466, 0.07727670828656603, -0.1083862309945592, -0.21348788959585363, 0.3379393598685662, -0.0436183720206221, 0.17840356233258112, 0.07434013754633877, 0.1222011565308397, -0.05691414120762298, 0.01923292930102131, 0.046807772130705416, -0.143538433799525, -0.01479344991579031, 0.2858000455113749, 0.06927951262332499, 0.21107052501368648, -0.31122852594126016, -0.27048475997677696, 0.22376918516723285, 0.0835020053491462, 0.06596917356364429, -0.07409488561097533, -0.2301397034122298, 0.06442897666420322, -0.10762344649022755, -0.08379723849551131, -0.13743605396787947, 0.06852224451722577, -0.023337899319206674, -0.26020540374641615, 0.08340423197175066, 0.1358177150832489, 0.09479189351744328, -0.07289285278723885, -0.10428378512733616, -0.09964937440236099, 0.1352251399269638, 0.010958647331184087, 0.05051259740624422, 0.09654419120245923, -0.0924670302386706, -0.09244681688142009, 0.3289078335898618, -0.13655826007016003, -0.14563718725306293, 0.21155023962880173, -0.22586533860885538, -0.20296213265586024, 0.19815771829841347, 0.09135487900736432, 0.12575880168393874, -0.08914926898432896, 0.17982695752046615, 0.013712941979368528, 0.08583613873148958, 0.12107803720088366, 0.030542918627664523, 0.26820858820186305, -0.012474276047820846, 0.09855198429310501, 0.1811136749747675, -0.003175786725478247, -0.16047161362560777, -0.3175218565459848, -0.13376112812882943, -0.16134811309408784, 0.022243850738353405, -0.13487037263682092, -0.2211681772605516, 0.3974208685103804, 0.07647489459486678, 0.2654162416389833, 0.09589396735342841, 0.20161911124402346, 0.17710564677448323, 0.04152934017474763, 0.01206839747222451, 0.14282913882743742, 0.12711772001542462, 0.12716693764862916, -0.1915309392400862, 0.023615583893842995, 0.06243278049320603] |
712.3024 | Detection of a relic X-ray jet in Cygnus A | We present a 200 ks Chandra ACIS-I image of Cygnus A, and discuss a long
linear feature seen in its counterlobe. This feature has a non-thermal spectrum
and lies on the line connecting the brighter hotspot on the approaching side
and the nucleus. We therefore conclude that this feature is (or was) a jet.
However, the outer part of this X-ray jet does not trace the current counterjet
observed in radio. No X-ray counterpart is observed on the jet side. Using
light-travel time effects we conclude that this X-ray 50 kpc linear feature is
a relic jet that contains enough low-energy plasma (gamma ~ 10^3) to
inverse-Compton scatter cosmic microwave background photons, producing emission
in the X-rays.
| astro-ph | we present a 200 ks chandra acisi image of cygnus a and discuss a long linear feature seen in its counterlobe this feature has a nonthermal spectrum and lies on the line connecting the brighter hotspot on the approaching side and the nucleus we therefore conclude that this feature is or was a jet however the outer part of this xray jet does not trace the current counterjet observed in radio no xray counterpart is observed on the jet side using lighttravel time effects we conclude that this xray 50 kpc linear feature is a relic jet that contains enough lowenergy plasma gamma 103 to inversecompton scatter cosmic microwave background photons producing emission in the xrays | [['we', 'present', 'a', '200', 'ks', 'chandra', 'acisi', 'image', 'of', 'cygnus', 'a', 'and', 'discuss', 'a', 'long', 'linear', 'feature', 'seen', 'in', 'its', 'counterlobe', 'this', 'feature', 'has', 'a', 'nonthermal', 'spectrum', 'and', 'lies', 'on', 'the', 'line', 'connecting', 'the', 'brighter', 'hotspot', 'on', 'the', 'approaching', 'side', 'and', 'the', 'nucleus', 'we', 'therefore', 'conclude', 'that', 'this', 'feature', 'is', 'or', 'was', 'a', 'jet', 'however', 'the', 'outer', 'part', 'of', 'this', 'xray', 'jet', 'does', 'not', 'trace', 'the', 'current', 'counterjet', 'observed', 'in', 'radio', 'no', 'xray', 'counterpart', 'is', 'observed', 'on', 'the', 'jet', 'side', 'using', 'lighttravel', 'time', 'effects', 'we', 'conclude', 'that', 'this', 'xray', '50', 'kpc', 'linear', 'feature', 'is', 'a', 'relic', 'jet', 'that', 'contains', 'enough', 'lowenergy', 'plasma', 'gamma', '103', 'to', 'inversecompton', 'scatter', 'cosmic', 'microwave', 'background', 'photons', 'producing', 'emission', 'in', 'the', 'xrays']] | [-0.09958776220395837, 0.10845701589360428, -0.10633188317651333, 0.12921688729876896, -0.14844410307705402, -0.0747341683620344, 0.026454453289751774, 0.48991630401300346, -0.21146880329950996, -0.2530815567659295, 0.06572983940435655, -0.3292816182112564, 0.010571932122516243, 0.20073399797952532, -0.0019965889823177585, -0.05590619362293459, 0.05195886750260125, -0.03591342787055866, -0.033041386697036414, -0.15724507999282492, 0.2527480011512323, 0.13205453933054662, 0.19899656885789466, 0.08012299857655307, 0.11181891315576176, -0.04516375729328265, -0.08989440050057095, -0.013056761326025361, -0.02987311946199043, 0.0477559562428328, 0.2294803028744038, 0.10800723602549861, 0.17833795231240598, -0.37589562169235685, -0.26094825835088675, 0.059242960259966226, 0.17882486532401778, 0.005557029078836026, -0.03714600698111336, -0.24177890428362173, 0.04713351606674816, -0.1949677589400064, -0.13678957866099867, 0.11259604886822079, 0.03239965709736166, -0.06953478383163557, -0.1789233043425433, 0.11654800918945314, 0.053194448184829365, 0.026635989471105858, -0.08445034163052459, -0.03407494247607563, 0.008466045339794262, 0.0010533525588233834, 0.06798766636208671, 0.11714692252748848, 0.2149526568575074, -0.13940126161146707, -0.10036146803556577, 0.37126622894859834, -0.056869831070830316, 0.007089820334120937, 0.1918497777139039, -0.2377796939837382, -0.1983556909851082, 0.21202751845121384, 0.10808278355119831, 0.07859681568553914, -0.10287466079563551, 0.0626348905999254, -0.0744368677391954, 0.2685272126650924, 0.06979678930795712, 0.057063470407814273, 0.2923965682963962, 0.1147743881062564, 0.03654164289245787, 0.16850626647583736, -0.3096269445311602, 0.04193197540209993, -0.3079328555350556, -0.07354006174465884, -0.14362311340949457, 0.11071658417919104, -0.10186607161012944, -0.1486178744422353, 0.3867201916306563, 0.08713722870199253, 0.2433613841948302, 0.008555852473996903, 0.35628493803593775, 0.09256988946429413, 0.06778901541281654, 0.17177690731199538, 0.34916644946712516, 0.12862695629667978, 0.13328867648201792, -0.22812931257016633, 0.06458714485127964, -0.009643385583615821] |
712.3025 | Can we use hadronic tau decay for V_us determination | It is known that the discrepancy in pion spectral functions extracted from
positron-electron annihilation and tau decay leads to different predictions for
the muon anomalous magnetic moment. We will show that this discrepancy effects
also the extraction of the Cabibbo angle from the hadronic tau decays. The
corrections to the tau branching fractions, corresponding to the presence of
new centi-weak tensor interactions, allow us to extract the Cabibbo angle from
tau decays in agreement with its other precision determinations. Thus a more
precise value of |V_us|=0.2246 +/- 0.0012 is obtained and as a consequence
f(0)=0.9645 +/- 0.0055 and F_K/F_pi=1.196 +/- 0.007.
| hep-ph hep-ex hep-lat | it is known that the discrepancy in pion spectral functions extracted from positronelectron annihilation and tau decay leads to different predictions for the muon anomalous magnetic moment we will show that this discrepancy effects also the extraction of the cabibbo angle from the hadronic tau decays the corrections to the tau branching fractions corresponding to the presence of new centiweak tensor interactions allow us to extract the cabibbo angle from tau decays in agreement with its other precision determinations thus a more precise value of v_us02246 00012 is obtained and as a consequence f009645 00055 and f_kf_pi1196 0007 | [['it', 'is', 'known', 'that', 'the', 'discrepancy', 'in', 'pion', 'spectral', 'functions', 'extracted', 'from', 'positronelectron', 'annihilation', 'and', 'tau', 'decay', 'leads', 'to', 'different', 'predictions', 'for', 'the', 'muon', 'anomalous', 'magnetic', 'moment', 'we', 'will', 'show', 'that', 'this', 'discrepancy', 'effects', 'also', 'the', 'extraction', 'of', 'the', 'cabibbo', 'angle', 'from', 'the', 'hadronic', 'tau', 'decays', 'the', 'corrections', 'to', 'the', 'tau', 'branching', 'fractions', 'corresponding', 'to', 'the', 'presence', 'of', 'new', 'centiweak', 'tensor', 'interactions', 'allow', 'us', 'to', 'extract', 'the', 'cabibbo', 'angle', 'from', 'tau', 'decays', 'in', 'agreement', 'with', 'its', 'other', 'precision', 'determinations', 'thus', 'a', 'more', 'precise', 'value', 'of', 'v_us02246', '00012', 'is', 'obtained', 'and', 'as', 'a', 'consequence', 'f009645', '00055', 'and', 'f_kf_pi1196', '0007']] | [-0.05219621075988509, 0.21591316152517584, -0.08703433939545574, 0.13528110635927582, -0.07684219206505, -0.10693506024123982, 0.06356442604954553, 0.2961502009606425, -0.2766159084140066, -0.2829508969877311, 0.009876261019405532, -0.3398464497059901, -0.0022188984749323512, 0.18742065305048797, 0.059682291996804006, 0.05549879725886251, 0.09490003705054442, 0.017974972157699474, -0.1153253155730744, -0.13409628736925253, 0.26121652851554944, 0.06808050036271836, 0.18857990507720077, 0.12191328582195367, -0.004300656416354344, -0.025834496182567897, -0.07306879151989012, -0.02511586072022452, -0.17635910101609548, 0.08101143215862201, 0.15396847041599956, 0.07971280319473775, 0.06881808316176559, -0.31699454316750486, -0.06177664441651011, 0.13503896998999482, 0.14992200022444446, 0.06245094862707118, -0.002178224426120807, -0.3153477764113786, 0.07159200676796125, -0.17341628340271084, -0.10314555969485577, -0.08999279842890323, 0.06358958224944294, -0.07859105178888173, -0.37478123975798805, 0.12398298466893934, -0.04921705036007978, -0.028934447956766855, -0.013318003458713994, -0.22350805948310076, 0.016417737252653598, 0.1348811292753337, 0.17581073876391065, 0.1167468809661396, 0.13299060503437005, -0.14523427513616277, -0.12405508138893291, 0.40861967415053474, -0.11286587410041705, -0.1667352918376948, 0.13744314442923727, -0.25103166914406294, -0.13826109641826057, 0.1881925333390369, 0.15624598005013737, 0.06302872633170138, -0.1567284280305451, 0.05342567124356952, -0.018079335600053495, 0.18195211099698505, 0.05857703641572214, 0.05858963244386262, 0.22326228389159797, 0.14272183306673739, 0.018289461702187645, 0.06236291788778506, -0.1543283449842575, -0.02147831259780821, -0.3445692796772841, -0.12772972928360105, -0.10245104885085467, 0.12226434349221119, -0.09700660451090563, -0.09640386072978219, 0.3506408390103582, 0.13140474234093377, 0.28283460380848835, 0.07597862289316873, 0.31261666459923093, 0.08661943382677681, 0.08932317424307953, 0.0034529712605983654, 0.3288254216313362, 0.22394169776878775, 0.1326203693219639, -0.29646640908755756, 0.10813440917991102, 0.045697639032485006] |
712.3026 | Sets of double and triple weights of trees | Let T be a weighted tree with n leaves. Let D_{i,j} be the distance between
the leaves i and j. Let D_{i,j,k}= (D_{i,j} + D_{j,k} +D_{i,k})/2. We will call
such numbers "triple weights" of the tree. In this paper, we give a
characterization, different from the previous ones, for sets indexed by
2-subsets of a $n$-set to be double weights of a tree. By using the same
ideas,we find also necessary and sufficient conditions for a set of real
numbers indexed by 3-subsets of an $n$-set to be the set of the triple weights
of a tree with $n$ leaves. Besides we propose a slight modification of
Saitou-Nei's Neighbour-Joining algorithm to reconstruct trees from the data
D_{i,j}.
| math.AG math.CO | let t be a weighted tree with n leaves let d_ij be the distance between the leaves i and j let d_ijk d_ij d_jk d_ik2 we will call such numbers triple weights of the tree in this paper we give a characterization different from the previous ones for sets indexed by 2subsets of a nset to be double weights of a tree by using the same ideaswe find also necessary and sufficient conditions for a set of real numbers indexed by 3subsets of an nset to be the set of the triple weights of a tree with n leaves besides we propose a slight modification of saitouneis neighbourjoining algorithm to reconstruct trees from the data d_ij | [['let', 't', 'be', 'a', 'weighted', 'tree', 'with', 'n', 'leaves', 'let', 'd_ij', 'be', 'the', 'distance', 'between', 'the', 'leaves', 'i', 'and', 'j', 'let', 'd_ijk', 'd_ij', 'd_jk', 'd_ik2', 'we', 'will', 'call', 'such', 'numbers', 'triple', 'weights', 'of', 'the', 'tree', 'in', 'this', 'paper', 'we', 'give', 'a', 'characterization', 'different', 'from', 'the', 'previous', 'ones', 'for', 'sets', 'indexed', 'by', '2subsets', 'of', 'a', 'nset', 'to', 'be', 'double', 'weights', 'of', 'a', 'tree', 'by', 'using', 'the', 'same', 'ideaswe', 'find', 'also', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'a', 'set', 'of', 'real', 'numbers', 'indexed', 'by', '3subsets', 'of', 'an', 'nset', 'to', 'be', 'the', 'set', 'of', 'the', 'triple', 'weights', 'of', 'a', 'tree', 'with', 'n', 'leaves', 'besides', 'we', 'propose', 'a', 'slight', 'modification', 'of', 'saitouneis', 'neighbourjoining', 'algorithm', 'to', 'reconstruct', 'trees', 'from', 'the', 'data', 'd_ij']] | [-0.13922792591620237, 0.17004842323318112, -0.060154029434280734, -0.0033487079085067046, -0.07516696746253208, -0.14022231168928556, 0.10318109279510931, 0.33345810550131966, -0.33043091118867907, -0.28912548638722263, 0.06627880705283522, -0.2937744902446866, -0.12673676197300665, 0.1382954206949632, -0.08541106632141496, -0.03141756171161043, 0.09834067113115452, 0.1088361974221438, -0.029363568955367163, -0.2510123735327007, 0.3607997316451344, 0.011391956604451739, 0.15682878266177017, 0.008367075817659497, 0.11023487272723287, 0.03489519318931603, -0.03619698803231586, 0.06347037055404924, -0.16960354201312708, 0.09762531036540167, 0.2337515761672486, 0.20366862671133795, 0.24291558156255633, -0.36154097012643305, -0.09410792810792502, 0.22642108978886558, 0.13211127638766942, 0.024276102510546998, 0.02805971575435251, -0.23031312808494217, 0.15781398996062176, -0.13968514782443112, -0.097259155087938, -0.03399255018718707, 0.06866050522408582, 0.028826327312604656, -0.3455461686909465, -0.038263280373160215, 0.038433406038425995, 0.05322498263558373, 0.0065461965236214125, -0.17238498156075366, -0.06732591514758367, 0.0945768820113569, -0.07935846078908071, 0.07989900999486313, 0.005457849295843127, -0.04559489998376064, -0.1748618904966861, 0.3542255937687254, -0.07362422355384167, -0.21205988424896663, 0.11269382601936481, -0.13611859439489699, -0.1513316064956598, 0.09285871601189553, 0.14488759049605246, 0.1102877144003287, -0.13346179884060153, 0.12437165652331064, -0.08367170815680376, 0.08540930110861414, 0.12641464157163032, -0.023162985395174474, 0.18473482276229852, 0.11954519444511139, 0.09592522417161879, 0.17688783540091077, -0.05109896840544285, 0.03190583616794486, -0.3156096521166286, -0.14225906460238288, -0.18226082578933397, 0.09778895177130055, -0.15930702717715967, -0.20738938340946333, 0.36155641932938515, 0.10146518113989648, 0.2998182573522042, 0.1252286397024623, 0.19758527930493333, 0.07548017347055845, 0.06643705918603311, 0.10076486951272402, 0.05041506750941543, 0.14142461554105726, -0.005593000316626525, -0.12488556136460309, 0.06381581779818848, 0.13273320652660914] |
712.3027 | Simple queueing approach to segregation dynamics in Schelling model | A simple queueing approach for segregation of agents in modified one
dimensional Schelling segregation model is presented. The goal is to arrive at
simple formula for the number of unhappy agents remaining after the
segregation.
| cond-mat.dis-nn physics.soc-ph | a simple queueing approach for segregation of agents in modified one dimensional schelling segregation model is presented the goal is to arrive at simple formula for the number of unhappy agents remaining after the segregation | [['a', 'simple', 'queueing', 'approach', 'for', 'segregation', 'of', 'agents', 'in', 'modified', 'one', 'dimensional', 'schelling', 'segregation', 'model', 'is', 'presented', 'the', 'goal', 'is', 'to', 'arrive', 'at', 'simple', 'formula', 'for', 'the', 'number', 'of', 'unhappy', 'agents', 'remaining', 'after', 'the', 'segregation']] | [-0.10488648462508406, 0.10645059208784785, -0.11583198292979173, 0.09053644076921046, -0.056613293582839626, -0.20076920170603055, 0.09946153100047793, 0.3393820489623717, -0.22779335486037391, -0.32028900842581476, -0.01183548015209713, -0.26174060484128336, -0.13444539574640138, 0.07975626182742417, -0.11220991896199328, -0.010595958387213094, 0.04009007024745058, 0.09528414548507759, 0.08927060465461441, -0.32545430404799325, 0.29726644049265555, 0.016641982219048907, 0.23679665329733066, 0.008355422371200153, 0.11283269013677324, 0.06320884881008948, 0.03732890305774553, 0.028659917919763498, -0.12294295161430324, 0.0838660807747926, 0.23253423576908452, 0.12751547236527716, 0.3290966672556741, -0.42398030151213917, -0.18702985995582172, 0.06505956476820367, 0.12037008675813143, 0.13993697613477707, -0.049743023834058216, -0.20371059945651462, 0.09529500943941198, -0.2389489716717175, -0.2067225119365113, 0.030855304109198706, 0.03792154033269201, -0.0470151174813509, -0.30060811487492173, 0.10708471057670457, 0.06391377943967069, 0.07046969362667628, -0.07658836080559663, -0.0885753349667149, -0.01602544610255531, 0.16181764440344912, 0.025313973064268275, -0.05333498129621148, 0.12015189112031034, -0.08855682353626304, -0.10074313224426337, 0.42094556923423493, -0.00981911277132375, -0.19723338708281518, 0.21183573797877345, -0.08040193473654134, -0.20783126383487668, 0.10950730242433825, 0.19808509850076267, 0.0886101928406528, -0.21469049326011114, 0.02104715531958001, -0.04864295591999378, 0.12360021461333548, 0.06465347425213881, -0.11555554938635655, 0.19430577978491784, 0.2772853695920536, 0.11565885776653886, 0.1441462752010141, 0.007842081625546728, -0.20000166637556893, -0.2786276607641152, -0.15889404277716365, -0.20094884590112738, 0.014695906000477927, -0.14707393404096364, -0.10762669444084168, 0.32977588134152547, 0.11165014946600423, 0.1729987481875079, 0.11377555147877762, 0.2657335473756705, 0.11972650747214045, 0.03149615414440632, 0.04634609127284161, 0.14006202585463012, 0.08982852452567645, 0.10547280668147972, -0.20288290063451445, 0.13570532080318246, 0.12504118172717946] |
712.3028 | A practical guide to Basic Statistical Techniques for Data Analysis in
Cosmology | This is the summary of 4 Lectures given at the XIX Canary islands winter
school of Astrophysics ''The Cosmic Microwave Background, from Quantum
Fluctuations to the present Universe''. Lectures were intended for
master/beginning PhD students in cosmology.
| astro-ph | this is the summary of 4 lectures given at the xix canary islands winter school of astrophysics the cosmic microwave background from quantum fluctuations to the present universe lectures were intended for masterbeginning phd students in cosmology | [['this', 'is', 'the', 'summary', 'of', '4', 'lectures', 'given', 'at', 'the', 'xix', 'canary', 'islands', 'winter', 'school', 'of', 'astrophysics', 'the', 'cosmic', 'microwave', 'background', 'from', 'quantum', 'fluctuations', 'to', 'the', 'present', 'universe', 'lectures', 'were', 'intended', 'for', 'masterbeginning', 'phd', 'students', 'in', 'cosmology']] | [-0.045524923350765474, 0.2523402823135257, -0.108764806878753, 0.13149129904599655, -0.08051344602265292, -0.10469470481621101, -0.11626578727737069, 0.2349612226890814, -0.11153448996548024, -0.42465763482161695, 0.10213832589215599, -0.34707090713911587, -0.057471652825673424, 0.190502845585191, -0.1344259904904498, -0.07718901744940215, 0.06638438533991575, -0.0033977237374832234, 0.014690732030430809, -0.4716851358340743, 0.29264183725333875, 0.32392866292179356, 0.3297085106961377, -0.0045129369633893175, 0.12651956565160719, -0.06435216658024324, -0.1349067904262079, -0.06385830986417002, -0.20664515667077568, 0.09931172840879299, 0.41687796182102627, 0.14991604235385442, 0.3154246254513661, -0.45062456202382845, -0.10183078389511341, -0.02608235772802598, 0.02888915967196226, 0.1364889647035549, -0.03699906757618818, -0.33210184921820957, -0.03000804882807036, -0.07266952961476313, -0.10317890959170957, 0.14188157625418776, -0.04899953088412682, -0.02017410911826624, -0.07662695823496, 0.056278056025298104, -0.019432217296626832, 0.20237638620245788, 0.011210712138563395, -0.15537512458265862, 0.047835832992051214, 0.11519877553089625, -0.008024629627470858, 0.07357774812003805, 0.14958784780982468, -0.11014979725263806, -0.11520897234893507, 0.37152575980871916, -0.07596654858854082, 0.06504877489836265, 0.11480984792837666, -0.27851392429632443, -0.21188631188124418, 0.07236165132295962, 0.23229554323996934, 0.04410192012114243, -0.1956189937579135, 0.1658201910581233, 0.09191832770334764, 0.1278281789790425, 0.12960309442132711, -0.07748254351382558, 0.3759662396171027, 0.10075003710678881, -0.019097017163100343, 0.03534093274114033, -0.07834903403030087, -0.05468354379344317, -0.43500495774464476, -0.1462640884047788, -0.1802183481761151, 0.03924946722367571, 0.05283327893509219, -0.1474490969752272, 0.41992764500901103, 0.14280015403508312, 0.014050716223816076, -0.0406513565297549, 0.20525764865386817, -0.009780675017585358, -0.11990843997854325, 0.09106996739541905, 0.19442383324106535, 0.15161131413575882, 0.30943629880332285, -0.09931443189917546, -0.028236655777113304, 0.12067663092036834] |
712.3029 | Approximation of sets defined by polynomials with holomorphic
coefficients | Let X be an analytic set defined by polynomials whose coefficients
a_1,...,a_s are holomorphic functions. We formulate conditions such that for
all sequences {a_(1,n)},...,{a_(s,n)} of holomorphic functions converging
locally uniformly to a_1,...,a_s respectively the following holds true. If
a_(1,n),...,a_(s,n) satisfy the conditions then the sequence of the sets {X_n}
obtained by replacing a_j by a_(j,n) in the polynomials, converge to X.
| math.CV | let x be an analytic set defined by polynomials whose coefficients a_1a_s are holomorphic functions we formulate conditions such that for all sequences a_1na_sn of holomorphic functions converging locally uniformly to a_1a_s respectively the following holds true if a_1na_sn satisfy the conditions then the sequence of the sets x_n obtained by replacing a_j by a_jn in the polynomials converge to x | [['let', 'x', 'be', 'an', 'analytic', 'set', 'defined', 'by', 'polynomials', 'whose', 'coefficients', 'a_1a_s', 'are', 'holomorphic', 'functions', 'we', 'formulate', 'conditions', 'such', 'that', 'for', 'all', 'sequences', 'a_1na_sn', 'of', 'holomorphic', 'functions', 'converging', 'locally', 'uniformly', 'to', 'a_1a_s', 'respectively', 'the', 'following', 'holds', 'true', 'if', 'a_1na_sn', 'satisfy', 'the', 'conditions', 'then', 'the', 'sequence', 'of', 'the', 'sets', 'x_n', 'obtained', 'by', 'replacing', 'a_j', 'by', 'a_jn', 'in', 'the', 'polynomials', 'converge', 'to', 'x']] | [-0.16829584291654415, 0.12382893011617226, -0.05632466620540824, 0.009750047907361696, -0.005846027991381185, -0.11978493265582826, -0.03156645241562791, 0.3650906741426423, -0.3627879848896429, -0.11686725692084894, 0.10845645329842729, -0.25687209009353457, -0.11096588511357149, 0.20519377925465332, -0.09247754230003419, 0.056020834629729004, 0.04010876632648809, 0.05419858804390092, -0.10341400932119196, -0.3131791735228536, 0.4103010379356043, -0.07526826129519734, 0.1515374239052421, -0.025160583892259104, 0.13983291065207973, -0.0024394277756198727, 0.023395179682571828, -0.027007038773294408, -0.16954927195070796, 0.08025444930535741, 0.28143388360481836, 0.14097866541224308, 0.25942886662508907, -0.39753512318792017, -0.10549911191879675, 0.2660400347366672, 0.14446968120394338, -0.12917778077374759, 0.030005917274232567, -0.2535489246827261, 0.21161920607796517, -0.029265187847315622, -0.1871570492693191, -0.11490186828927233, 0.034906216126320694, 0.16243812965293383, -0.39401954788200816, 0.018296111053947746, 0.0889168980948884, 0.04744106420347917, -0.07207308004706584, -0.14622294323133497, -0.08308343087917129, 0.11370323005871012, -0.008267594806464582, 0.13060388162507322, 0.05702579278571146, -0.031108993820139562, -0.06073837740555534, 0.32053910716083545, -0.05834186632700007, -0.3228423612128044, 0.062183915492917956, -0.21908408521417658, -0.15716290386225065, 0.11015880599232583, 0.06863329857828673, 0.18032570218603158, -0.12023905305802052, 0.16602277795880518, -0.136295945054434, 0.07940799564701216, 0.15663889239357529, 0.017343213500711937, 0.1595856396658025, -0.03952256662385731, 0.08646806839307578, 0.11275993166932964, 0.06749569733851943, -0.010105352021818018, -0.369959088748899, -0.09861785924897112, -0.2001748428507387, 0.15875209550019995, -0.14407145883085143, -0.19729572171666498, 0.328388974969757, 0.07023665297712231, 0.23939784905263062, 0.1874219891615212, 0.16635207391889958, 0.16897760655812252, -0.0021823326121726684, 0.10020103520745861, 0.054618567489248156, 0.17895828050577306, -0.022612414659996485, -0.09625950070090014, 0.07381111232499624, 0.20650109924889845] |
712.303 | Nuclear fission with mean-field instantons | We present a description of nuclear spontaneous fission, and generally of
quantum tunneling, in terms of instantons - periodic imaginary-time solutions
to time-dependent mean-field equations - that allows for a comparison with more
familiar and used generator coordinate (GCM) and adiabatic time-dependent
Hartree-Fock (ATDHF) methods. It is shown that the action functional whose
value for the instanton is the quasiclassical estimate of the decay exponent
fulfils the minimum principle when additional constraints are imposed on trial
fission paths. In analogy with mechanics, these are conditions of energy
conservation and the velocity-momentum relations. In the adiabatic limit the
instanton method reduces to the time-odd ATDHF equation, with collective mass
including the time-odd Thouless-Valatin term, while the GCM mass completely
ignores velocity-momentum relations. This implies that GCM inertia generally
overestimates instanton-related decay rate.
The very existence of the minimum principle offers a hope for a variational
search for instantons. After the inclusion of pairing, the instanton equations
and the variational principle can be expressed in terms of the
imaginary-time-dependent Hartree-Fock- Bogolyubov (TDHFB) theory. The adiabatic
limit of this theory reproduces ATDHFB inertia.
| nucl-th | we present a description of nuclear spontaneous fission and generally of quantum tunneling in terms of instantons periodic imaginarytime solutions to timedependent meanfield equations that allows for a comparison with more familiar and used generator coordinate gcm and adiabatic timedependent hartreefock atdhf methods it is shown that the action functional whose value for the instanton is the quasiclassical estimate of the decay exponent fulfils the minimum principle when additional constraints are imposed on trial fission paths in analogy with mechanics these are conditions of energy conservation and the velocitymomentum relations in the adiabatic limit the instanton method reduces to the timeodd atdhf equation with collective mass including the timeodd thoulessvalatin term while the gcm mass completely ignores velocitymomentum relations this implies that gcm inertia generally overestimates instantonrelated decay rate the very existence of the minimum principle offers a hope for a variational search for instantons after the inclusion of pairing the instanton equations and the variational principle can be expressed in terms of the imaginarytimedependent hartreefock bogolyubov tdhfb theory the adiabatic limit of this theory reproduces atdhfb inertia | [['we', 'present', 'a', 'description', 'of', 'nuclear', 'spontaneous', 'fission', 'and', 'generally', 'of', 'quantum', 'tunneling', 'in', 'terms', 'of', 'instantons', 'periodic', 'imaginarytime', 'solutions', 'to', 'timedependent', 'meanfield', 'equations', 'that', 'allows', 'for', 'a', 'comparison', 'with', 'more', 'familiar', 'and', 'used', 'generator', 'coordinate', 'gcm', 'and', 'adiabatic', 'timedependent', 'hartreefock', 'atdhf', 'methods', 'it', 'is', 'shown', 'that', 'the', 'action', 'functional', 'whose', 'value', 'for', 'the', 'instanton', 'is', 'the', 'quasiclassical', 'estimate', 'of', 'the', 'decay', 'exponent', 'fulfils', 'the', 'minimum', 'principle', 'when', 'additional', 'constraints', 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'theory', 'the', 'adiabatic', 'limit', 'of', 'this', 'theory', 'reproduces', 'atdhfb', 'inertia']] | [-0.12820030784959355, 0.16576861529028974, -0.13666356558149512, 0.14791278789793563, -0.043790921382672175, -0.08433172898896207, 0.03332862490854247, 0.266612047316316, -0.22325604932054624, -0.26545621968001465, 0.018378320464927874, -0.24262615498719242, -0.12103280697490183, 0.1604744251169243, -0.012873699695443396, 0.06384098846782846, 0.07244510753133165, 0.05535089649757455, -0.1280552756890591, -0.17720323808515043, 0.29575630195577934, 0.05381872592459496, 0.2794084369247271, 0.06124831400070847, 0.10241630496933464, 0.046609623090758265, 0.023373298929072917, 0.0007617286782161417, -0.13839026779098937, 0.11404081019678745, 0.20727561038008638, 0.06058173012835058, 0.20976423290663992, -0.45836339044299995, -0.22068298831899566, 0.07807240348616191, 0.12851516757456755, 0.1753702948957322, 0.005478196460816517, -0.2754453888840296, 0.02794874279921218, -0.21812018857533325, 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712.3031 | Stability of homogeneous bundles on P^3 | We study the stability of some homogeneous bundles on P^3 by using their
representations of the quiver associated to the homgeneous bundles on P^3. In
particular we show that homogeneous bundles on P^3 whose support of the quiver
representation is a parallelepiped are stable, for instance the bundles E whose
minimal free resolution is of the kind 0 --> S^{l_1, l_2, l_3} V (t) --> S^{l_1
+s, l_2, l_3} V (t+s) --> E --> 0 are stable.
| math.AG math.RT | we study the stability of some homogeneous bundles on p3 by using their representations of the quiver associated to the homgeneous bundles on p3 in particular we show that homogeneous bundles on p3 whose support of the quiver representation is a parallelepiped are stable for instance the bundles e whose minimal free resolution is of the kind 0 sl_1 l_2 l_3 v t sl_1 s l_2 l_3 v ts e 0 are stable | [['we', 'study', 'the', 'stability', 'of', 'some', 'homogeneous', 'bundles', 'on', 'p3', 'by', 'using', 'their', 'representations', 'of', 'the', 'quiver', 'associated', 'to', 'the', 'homgeneous', 'bundles', 'on', 'p3', 'in', 'particular', 'we', 'show', 'that', 'homogeneous', 'bundles', 'on', 'p3', 'whose', 'support', 'of', 'the', 'quiver', 'representation', 'is', 'a', 'parallelepiped', 'are', 'stable', 'for', 'instance', 'the', 'bundles', 'e', 'whose', 'minimal', 'free', 'resolution', 'is', 'of', 'the', 'kind', '0', 'sl_1', 'l_2', 'l_3', 'v', 't', 'sl_1', 's', 'l_2', 'l_3', 'v', 'ts', 'e', '0', 'are', 'stable']] | [-0.23643069781533535, 0.11063247657722046, -0.03310558887880663, 0.02851536537153305, -0.034559266956549296, -0.17512262851970506, -0.014508807228248514, 0.43378755516490675, -0.335828822525874, -0.14839101792641088, 0.11417053221941362, -0.28602601622533, -0.10681843484791231, 0.14149851710732345, -0.055895811956848056, 0.005120995283966333, 0.03273680105700459, 0.17754732313382268, -0.0864834814024171, -0.27789842959126115, 0.3898466013267007, -0.052559877234235615, 0.22403915503232832, 0.0011776611340087904, 0.05009295471327405, 0.010274195840293673, 0.046462243842616886, -0.02111059831271709, -0.19046619439771822, 0.1631006299662338, 0.23662678363182071, 0.038440845932968905, 0.1858219823334366, -0.3615549080808398, -0.16806423989400057, 0.1976843577166888, 0.11677061366310841, -0.07915306198869793, 0.039588274173504134, -0.2161127199012209, 0.1878549485175516, -0.07104856614023447, -0.15798728239499557, -0.08981903199053987, 0.12175793143015512, 0.04688417491450591, -0.262377653100436, -0.00885984272709195, 0.10642930984654476, 0.13125454459313146, -0.15387066345478237, -0.14613943054458836, -0.15369229706030496, 0.013920633948709763, -0.01964854243749254, 0.07070389436229958, 0.0436911192447157, -0.12092029211491766, -0.12558243759501148, 0.3644284040103076, -0.09043818135732706, -0.20441875874366558, 0.13964466724387356, -0.15319640218923, -0.1149683604672761, 0.16870431769245736, 0.11294817376199742, 0.2291114540429602, 0.05512788894415741, 0.21809964078727742, -0.11070112234660306, 0.04401419400794983, 0.10570683761853987, -0.05131018273925907, 0.15732987037479457, 0.11465556381440813, 0.04997424571446969, 0.05287453940164455, -0.08743302484492207, -0.007741953547991497, -0.41299724248303493, -0.19754221382170495, -0.10610252310207087, 0.14901223218619403, -0.09494669008081857, -0.14039787124107841, 0.35043171709272225, 0.05065122283470463, 0.2899185529660801, 0.07247007182392647, 0.16150313332467012, 0.06876343821870609, 0.031192432993918027, 0.025221837187697455, 0.15399476565940398, 0.18233220685522636, -0.0389741298244138, -0.18083397575824614, -0.033765180420104256, 0.16349103696591838] |
712.3032 | Power spectrum of large-scale magnetic fields from
Gravitoelectromagnetic inflation with a decaying cosmological parameter | Introducing a variable cosmological parameter $\Lambda (t)$ in a geometrical
manner from a 5D Riemann-flat metric, we investigate the origin and evolution
of primordial magnetic fields in the early universe, when the expansion is
governed by a cosmological parameter $\Lambda (t)$ that decreases with time.
Using the gravitoelectromagnetic inflationary formalism, but without the
Feynman gauge, we obtain the power of spectrums for large-scale magnetic fields
and the inflaton field fluctuations during inflation. A very important fact is
that our formalism is {\em naturally non-conformally invariant}.
| hep-th | introducing a variable cosmological parameter lambda t in a geometrical manner from a 5d riemannflat metric we investigate the origin and evolution of primordial magnetic fields in the early universe when the expansion is governed by a cosmological parameter lambda t that decreases with time using the gravitoelectromagnetic inflationary formalism but without the feynman gauge we obtain the power of spectrums for largescale magnetic fields and the inflaton field fluctuations during inflation a very important fact is that our formalism is em naturally nonconformally invariant | [['introducing', 'a', 'variable', 'cosmological', 'parameter', 'lambda', 't', 'in', 'a', 'geometrical', 'manner', 'from', 'a', '5d', 'riemannflat', 'metric', 'we', 'investigate', 'the', 'origin', 'and', 'evolution', 'of', 'primordial', 'magnetic', 'fields', 'in', 'the', 'early', 'universe', 'when', 'the', 'expansion', 'is', 'governed', 'by', 'a', 'cosmological', 'parameter', 'lambda', 't', 'that', 'decreases', 'with', 'time', 'using', 'the', 'gravitoelectromagnetic', 'inflationary', 'formalism', 'but', 'without', 'the', 'feynman', 'gauge', 'we', 'obtain', 'the', 'power', 'of', 'spectrums', 'for', 'largescale', 'magnetic', 'fields', 'and', 'the', 'inflaton', 'field', 'fluctuations', 'during', 'inflation', 'a', 'very', 'important', 'fact', 'is', 'that', 'our', 'formalism', 'is', 'em', 'naturally', 'nonconformally', 'invariant']] | [-0.20011894869179847, 0.2363457649918821, -0.12582657193655478, 0.10952257391147535, -0.11789738422941061, -0.10731296171708142, -0.051186304276480396, 0.31827765049358064, -0.23712765740997652, -0.3070516573593897, 0.02815807950682938, -0.1910064046675175, -0.13902465048081736, 0.1281500701162526, 0.026954746607910186, -0.012096475790638257, 0.0030360089888905777, 0.05625946311937535, -0.031885782611446783, -0.23006253648165834, 0.37106246536816745, 0.11003834677531439, 0.2060813231064993, -0.03445138288114001, 0.11019507022574544, -0.03973902283948572, -0.017064854904310776, 0.06452837115674115, -0.16371492640584406, 0.029726497457800982, 0.16868538228411448, 0.11041861627908314, 0.22950810154571252, -0.37204814142657117, -0.26113183290204584, 0.1241989150752916, 0.13835883933831664, 0.15056264019735596, -0.045526435291942426, -0.2659685523632695, 0.04753821810488315, -0.12957163792760934, -0.12140018175328698, -0.08457271597512504, 0.03137255178024883, -0.08316090316237772, -0.3114421647918575, 0.11387698249343564, 0.014846225600580082, 0.011095892468138652, -0.08379146329072469, -0.015676224472768167, -0.03540295259205296, 0.010100204282892211, 0.1351930045604925, 0.09886279815040967, 0.16165353825644535, -0.18015025358866243, -0.054557399824261665, 0.3996973243268097, -0.16594350014210624, -0.14891939114998368, 0.06929231853607823, -0.17763252303771238, -0.1526916821158546, 0.08299545239492813, 0.08145356583682929, 0.1580886852927506, -0.1313330931131906, 0.2603885073420208, 0.06723092883989654, 0.13909551596597713, 0.09116493079208714, 0.029943217320696398, 0.286777366084211, 0.10230008307570482, -0.0007890333585879382, 0.1266690221889054, -0.014214877614422756, -0.11009575163069017, -0.3823373459827374, -0.1266976196805926, -0.16466138812110703, 0.11752807866124546, -0.19791516118703464, -0.19854977828833986, 0.38455234990619563, 0.1415751690044999, 0.21022291219628908, 0.019006749916383448, 0.26502162240007343, 0.10917551197686835, 0.04440284631050685, 0.07236244233927744, 0.26966959550319347, 0.16883909350863713, 0.16705889318357495, -0.23761106231249868, -0.02357093876994708, 0.07153356318526408] |
712.3033 | Particle-species dependent modification of jet-induced correlations in
Au+Au collisions at sqrt(s_NN) = 200 GeV | We report PHENIX measurements of the correlation of a trigger hadron at
intermediate transverse momentum (2.5<p_{T,trig}<4 GeV/c), with associated
mesons or baryons at lower p_{T,assoc}, in Au+Au collisions at sqrt(s_NN) = 200
GeV. The jet correlations for both baryons and mesons show similar shape
alterations as a function of centrality, characteristic of strong modification
of the away-side jet. The ratio of jet-associated baryons to mesons for this
jet increases with centrality and p_{T,assoc} and, in the most central
collisions, reaches a value similar to that for inclusive measurements. This
trend is incompatible with in-vacuum fragmentation, but could be due to
jet-like contributions from correlated soft partons which recombine upon
hadronization.
| nucl-ex | we report phenix measurements of the correlation of a trigger hadron at intermediate transverse momentum 25p_ttrig4 gevc with associated mesons or baryons at lower p_tassoc in auau collisions at sqrts_nn 200 gev the jet correlations for both baryons and mesons show similar shape alterations as a function of centrality characteristic of strong modification of the awayside jet the ratio of jetassociated baryons to mesons for this jet increases with centrality and p_tassoc and in the most central collisions reaches a value similar to that for inclusive measurements this trend is incompatible with invacuum fragmentation but could be due to jetlike contributions from correlated soft partons which recombine upon hadronization | [['we', 'report', 'phenix', 'measurements', 'of', 'the', 'correlation', 'of', 'a', 'trigger', 'hadron', 'at', 'intermediate', 'transverse', 'momentum', '25p_ttrig4', 'gevc', 'with', 'associated', 'mesons', 'or', 'baryons', 'at', 'lower', 'p_tassoc', 'in', 'auau', 'collisions', 'at', 'sqrts_nn', '200', 'gev', 'the', 'jet', 'correlations', 'for', 'both', 'baryons', 'and', 'mesons', 'show', 'similar', 'shape', 'alterations', 'as', 'a', 'function', 'of', 'centrality', 'characteristic', 'of', 'strong', 'modification', 'of', 'the', 'awayside', 'jet', 'the', 'ratio', 'of', 'jetassociated', 'baryons', 'to', 'mesons', 'for', 'this', 'jet', 'increases', 'with', 'centrality', 'and', 'p_tassoc', 'and', 'in', 'the', 'most', 'central', 'collisions', 'reaches', 'a', 'value', 'similar', 'to', 'that', 'for', 'inclusive', 'measurements', 'this', 'trend', 'is', 'incompatible', 'with', 'invacuum', 'fragmentation', 'but', 'could', 'be', 'due', 'to', 'jetlike', 'contributions', 'from', 'correlated', 'soft', 'partons', 'which', 'recombine', 'upon', 'hadronization']] | [-0.052838335540231866, 0.2767076302509479, -0.19363114475789997, 0.14883301463473966, -0.002604557576382326, -0.11387556231218493, -0.0705380253946512, 0.3766656502072389, -0.18525103520692532, -0.2780946375871146, -0.1295703708655546, -0.4021252634227966, 0.13782405887980498, 0.08716276376206358, 0.07272222693319674, 0.08124765547216628, 0.13416115533995995, -0.005802348333721359, -0.059840282966400045, -0.11048435030237737, 0.327187676810556, 0.12461058583317532, 0.18671077687758952, 0.2259483491976021, 0.07247510075103492, 0.059267564818987414, -0.01751250530489617, 0.038325140666630536, -0.08442095003805729, 0.008230342392279353, 0.2627462891392093, 0.013188660571662089, 0.1578179931751004, -0.31327656047694663, -0.09461881591360671, 0.09150415105331275, 0.19493884914037254, 0.07047084772730833, -0.062465504661236924, -0.22330033186935233, 0.13652412531276545, -0.2568960417928692, -0.12497740984825348, -0.03382713028609201, 0.02939650936793812, 0.03725542104803026, -0.29764800017734094, 0.20446256266182494, -0.012624501233437547, 0.07468810534380653, -0.0176461881168911, -0.1934673642023915, -0.09074077941908466, -0.030773127652032092, 0.13382182760741906, 0.1974430998088792, 0.235626784524087, -0.19633429296340588, -0.17636853915205897, 0.3900079194508079, 0.04361539102090454, -0.0984683198750847, 0.18787798825737642, -0.2525763638852233, -0.17556087158030736, 0.18149056942719552, 0.2891544209431029, 0.05341196934616029, -0.14901733056952557, -0.07554245171195362, -0.020667372564612714, 0.21092020374446832, 0.1307987536786607, 0.11486256645595724, 0.192174261789424, 0.1491653882700053, -0.023839778775625205, 0.09698685404199986, -0.10670837587558371, -0.05475915295796262, -0.3816099700483459, -0.0877639157568208, -0.0844545867455761, 0.0639170083805867, -0.12039904502455977, -0.03577995358931797, 0.39703425629219663, 0.05130838103057748, 0.3664908617631429, 0.0065873932444783685, 0.3103977650559197, 0.0532129431775064, 0.10071139655041474, 0.15878484815928257, 0.3079407210548029, 0.19470760912668925, 0.2509197722947984, -0.2563761736857015, 0.07628841584772561, 0.01465947243505744] |
712.3034 | Emergence of Oscillons in an Expanding Background | We consider a (1+1) dimensional scalar field theory that supports oscillons,
which are localized, oscillatory, stable solutions to nonlinear equations of
motion. We study this theory in an expanding background and show that oscillons
now lose energy, but at a rate that is exponentially small when the expansion
rate is slow. We also show numerically that a universe that starts with
(almost) thermal initial conditions will cool to a final state where a
significant fraction of the energy of the universe -- on the order of 50% -- is
stored in oscillons. If this phenomenon persists in realistic models, oscillons
may have cosmological consequences.
| hep-th | we consider a 11 dimensional scalar field theory that supports oscillons which are localized oscillatory stable solutions to nonlinear equations of motion we study this theory in an expanding background and show that oscillons now lose energy but at a rate that is exponentially small when the expansion rate is slow we also show numerically that a universe that starts with almost thermal initial conditions will cool to a final state where a significant fraction of the energy of the universe on the order of 50 is stored in oscillons if this phenomenon persists in realistic models oscillons may have cosmological consequences | [['we', 'consider', 'a', '11', 'dimensional', 'scalar', 'field', 'theory', 'that', 'supports', 'oscillons', 'which', 'are', 'localized', 'oscillatory', 'stable', 'solutions', 'to', 'nonlinear', 'equations', 'of', 'motion', 'we', 'study', 'this', 'theory', 'in', 'an', 'expanding', 'background', 'and', 'show', 'that', 'oscillons', 'now', 'lose', 'energy', 'but', 'at', 'a', 'rate', 'that', 'is', 'exponentially', 'small', 'when', 'the', 'expansion', 'rate', 'is', 'slow', 'we', 'also', 'show', 'numerically', 'that', 'a', 'universe', 'that', 'starts', 'with', 'almost', 'thermal', 'initial', 'conditions', 'will', 'cool', 'to', 'a', 'final', 'state', 'where', 'a', 'significant', 'fraction', 'of', 'the', 'energy', 'of', 'the', 'universe', 'on', 'the', 'order', 'of', '50', 'is', 'stored', 'in', 'oscillons', 'if', 'this', 'phenomenon', 'persists', 'in', 'realistic', 'models', 'oscillons', 'may', 'have', 'cosmological', 'consequences']] | [-0.16034407618081234, 0.23032346616773616, -0.11205821909357373, 0.09919317120425951, -0.020987689798679567, -0.09586828880870313, -0.015728522427654004, 0.34827624212073927, -0.23709256687731134, -0.23949962501943695, 0.11245074367502193, -0.2520094324524204, -0.12158893848605015, 0.16445914013128654, -0.01989892096824798, -0.024126253410370325, 0.11149253074180189, 0.06883654545298686, -0.022442075480962647, -0.28234318090721455, 0.3309109037121137, 0.059807742976951045, 0.22730249861328333, 0.04006436234340072, 0.09017224015448899, -0.10785746232403315, 0.03408693185295252, 0.04388172000957032, -0.14870455545578984, 0.0260777707832555, 0.19535315823993063, 0.09938541474505602, 0.2878203075242174, -0.44039664458136496, -0.23535684102634882, 0.13723038468856877, 0.20692235468567222, 0.20491777077575749, -0.08598589947031737, -0.22991817677393556, 0.12171836291193305, -0.17212942114793786, -0.18661481769317212, -0.09106928278810765, 0.07283136148722477, -0.007152556781839652, -0.2764029394214352, 0.15499768206848552, 0.036922328281398936, -0.04257790978961423, -0.12391275463981882, -0.004453249522210921, -0.04303847325910978, 0.020784780030725432, 0.09275769630752906, 0.0072139124500145224, 0.1178571915838356, -0.1750913547114703, -0.06500248782286494, 0.3455230240509206, -0.1320163212344507, -0.15627436616555582, 0.19986779854048556, -0.19783837195741488, -0.1063830368814296, 0.17037379197027608, 0.17106930863148734, 0.13045466658841892, -0.11173742131673041, 0.10871209687149316, -0.02413283267934971, 0.2168222088800451, 0.08353538342349816, 0.04054443953860113, 0.2389907840566308, 0.14968131563407094, 0.056845716522623074, 0.13158393091540418, -0.03920307574912394, -0.1326507729679054, -0.3169864730032928, -0.11951114280793049, -0.13031927968247556, 0.10294767024506833, -0.08697504935972734, -0.19943697082664014, 0.37485085288690423, 0.12954480686126843, 0.19435259450555725, 0.018033326743855414, 0.2565236580466815, 0.12269074298035097, 0.018951875915495204, 0.12413683226423375, 0.2863864632980788, 0.09000325521600305, 0.13756907235844718, -0.19180858926391045, -0.022400304300747083, 0.006754127888045474] |
712.3035 | Identities and Inequalities for Tree Entropy | The notion of tree entropy was introduced by the author as a normalized limit
of the number of spanning trees in finite graphs, but is defined on random
infinite rooted graphs. We give some new expressions for tree entropy; one uses
Fuglede-Kadison determinants, while another uses effective resistance. We use
the latter to prove that tree entropy respects stochastic domination. We also
prove that tree entropy is non-negative in the unweighted case, a special case
of which establishes Lueck's Determinant Conjecture for Cayley-graph
Laplacians. We use techniques from the theory of operators affiliated to von
Neumann algebras.
| math.CO math.PR | the notion of tree entropy was introduced by the author as a normalized limit of the number of spanning trees in finite graphs but is defined on random infinite rooted graphs we give some new expressions for tree entropy one uses fugledekadison determinants while another uses effective resistance we use the latter to prove that tree entropy respects stochastic domination we also prove that tree entropy is nonnegative in the unweighted case a special case of which establishes luecks determinant conjecture for cayleygraph laplacians we use techniques from the theory of operators affiliated to von neumann algebras | [['the', 'notion', 'of', 'tree', 'entropy', 'was', 'introduced', 'by', 'the', 'author', 'as', 'a', 'normalized', 'limit', 'of', 'the', 'number', 'of', 'spanning', 'trees', 'in', 'finite', 'graphs', 'but', 'is', 'defined', 'on', 'random', 'infinite', 'rooted', 'graphs', 'we', 'give', 'some', 'new', 'expressions', 'for', 'tree', 'entropy', 'one', 'uses', 'fugledekadison', 'determinants', 'while', 'another', 'uses', 'effective', 'resistance', 'we', 'use', 'the', 'latter', 'to', 'prove', 'that', 'tree', 'entropy', 'respects', 'stochastic', 'domination', 'we', 'also', 'prove', 'that', 'tree', 'entropy', 'is', 'nonnegative', 'in', 'the', 'unweighted', 'case', 'a', 'special', 'case', 'of', 'which', 'establishes', 'luecks', 'determinant', 'conjecture', 'for', 'cayleygraph', 'laplacians', 'we', 'use', 'techniques', 'from', 'the', 'theory', 'of', 'operators', 'affiliated', 'to', 'von', 'neumann', 'algebras']] | [-0.14404505215046046, 0.1493232762146937, -0.08387160912940377, 0.12014659371864246, -0.10325922042278475, -0.12862466972713407, 0.062206242139157104, 0.2899029852111677, -0.26891425495084964, -0.21742160669282862, 0.10138881968481368, -0.32631929089364253, -0.1801168827045905, 0.15942626183754519, -0.13774568974285534, 0.057139280908986144, 0.09949109082747447, 0.15450032912439815, -0.04148786499802219, -0.26862887386232615, 0.3838914317667092, 0.0086590921873913, 0.2456437224032063, 0.10106033277942945, 0.12054615811395802, 0.06569466121298702, -0.05964337637844054, 0.07147366347673692, -0.170235412176484, 0.10686069227706053, 0.2661374579820978, 0.16001689252198525, 0.24360136658835568, -0.3719456802465414, -0.17110897494529032, 0.19520455164050585, 0.09477834404954735, 0.09137498512006316, 0.03405511120309759, -0.19673541560278912, 0.08262830964828792, -0.19761071287487683, -0.1166137169801483, -0.04238880243838618, 0.030215509922096605, -0.02632050022642177, -0.26091665839286227, 0.0783011111338917, 0.09167965233914162, 0.05337304183723111, -0.017401205481177098, -0.14670280559772725, -0.045998883563534994, 0.08400681014907987, -0.030649135766648933, -0.0005373993986531308, 0.04381075090189514, -0.034135838985247045, -0.19898427223884746, 0.2823543777787372, -0.08705055990109319, -0.20302847384622222, 0.11837487383010356, -0.1202473641373217, -0.22883887757106047, 0.031744499530300105, 0.10847698787325306, 0.16440866340539959, -0.11203559076070393, 0.1581334766980849, -0.08735656895135578, 0.059818811400940544, 0.15489330859364647, -0.005730109583390386, 0.08212381010188868, 0.1032902443830512, 0.16022054268733452, 0.2522105758617583, 0.045228869813543404, -0.09627284524276068, -0.2880546752951647, -0.17814587728169404, -0.21050359286661996, 0.06996257208826903, -0.16749168590299393, -0.28226415422303897, 0.364323550394099, 0.13817591073089525, 0.16135774465081723, 0.19354575874504487, 0.21183600691147147, 0.15258634866729967, 0.06587193745041364, 0.12794839008466194, 0.10162854472843097, 0.27440343053374244, 0.08242830583874725, -0.126779679985913, 0.06447879258837355, 0.27911312835487095] |
712.3036 | Quenched mesonic spectrum at large N | We compute the masses of the $\pi$ and of the $\rho$ mesons in the quenched
approximation on a lattice with fixed lattice spacing $a \simeq 0.145 \
\mathrm{fm}$ for SU($N$) gauge theory with $N = 2,3,4,6$. We find that a simple
linear expression in $1/N^2$ correctly captures the features of the
lowest-lying meson states at those values of $N$. This enables us to
extrapolate to $N = \infty$ the behaviour of $m_{\pi}$ as a function of the
quark mass and of $m_{\rho}$ as a function of $m_{\pi}$. Our results for the
latter agree within 5% with recent predictions obtained in the AdS/CFT
framework.
| hep-th hep-lat hep-ph | we compute the masses of the pi and of the rho mesons in the quenched approximation on a lattice with fixed lattice spacing a simeq 0145 mathrmfm for sun gauge theory with n 2346 we find that a simple linear expression in 1n2 correctly captures the features of the lowestlying meson states at those values of n this enables us to extrapolate to n infty the behaviour of m_pi as a function of the quark mass and of m_rho as a function of m_pi our results for the latter agree within 5 with recent predictions obtained in the adscft framework | [['we', 'compute', 'the', 'masses', 'of', 'the', 'pi', 'and', 'of', 'the', 'rho', 'mesons', 'in', 'the', 'quenched', 'approximation', 'on', 'a', 'lattice', 'with', 'fixed', 'lattice', 'spacing', 'a', 'simeq', '0145', 'mathrmfm', 'for', 'sun', 'gauge', 'theory', 'with', 'n', '2346', 'we', 'find', 'that', 'a', 'simple', 'linear', 'expression', 'in', '1n2', 'correctly', 'captures', 'the', 'features', 'of', 'the', 'lowestlying', 'meson', 'states', 'at', 'those', 'values', 'of', 'n', 'this', 'enables', 'us', 'to', 'extrapolate', 'to', 'n', 'infty', 'the', 'behaviour', 'of', 'm_pi', 'as', 'a', 'function', 'of', 'the', 'quark', 'mass', 'and', 'of', 'm_rho', 'as', 'a', 'function', 'of', 'm_pi', 'our', 'results', 'for', 'the', 'latter', 'agree', 'within', '5', 'with', 'recent', 'predictions', 'obtained', 'in', 'the', 'adscft', 'framework']] | [-0.08442533506080509, 0.20276530025992542, -0.11007476154205506, 0.08521981434314511, 0.012950797833036631, -0.10035297279711813, 0.10992951653257478, 0.3179261059127748, -0.1482016652729362, -0.2648205030709505, -0.011356542099965736, -0.32800362922251225, -0.06519430133514106, 0.12172351185232401, 0.04655275359516963, 0.07566545419758768, 0.02502891276963055, 0.0914303939184174, -0.12549735225504263, -0.19943981956690549, 0.27467591652181, -0.007318031754111871, 0.19754807016812265, 0.10147774643730373, 0.03621168720535934, 0.028354347702115774, 0.03274924459401518, -0.05550112002529204, -0.16035903855961806, 0.08329067111655604, 0.20140063037804792, 0.03000593159813434, 0.17183028602041303, -0.3314045435190201, -0.15230310607003048, 0.04934632901567966, 0.15180528382305056, 0.09982196923345327, 0.04951415374292992, -0.24754365924745797, 0.13982243970967828, -0.1851458931574598, -0.20905003295862115, -0.07219250914407895, 0.03694893461186439, -0.03945255242288113, -0.36424745425581934, 0.11096883664373308, -0.03545753178186715, 0.039476004182361066, -0.05248400601092726, -0.20634437968023123, -0.015049134329892695, 0.12548563808668406, 0.08767352095223031, 0.11795189598575234, 0.11010342679452151, -0.1523322281637229, -0.08255549893248826, 0.422997277546674, -0.10472910546697677, -0.15609866847284137, 0.14014916553162038, -0.18973287712782622, -0.14290958822472022, 0.09511559495702386, 0.14765696396003478, 0.11418763473629952, -0.08415280119515955, 0.12487356468453072, -0.10638738270383329, 0.20185162956826389, 0.07880996903637424, 0.03534969351021573, 0.16936282924376428, 0.15220214389264583, -0.016178657030686737, 0.07069886839250103, -0.05288131446344778, -0.09299342739395797, -0.356553300593514, -0.09259739401983097, -0.17602835881523787, 0.09628564004087821, -0.16340025783021703, -0.1328609563037753, 0.3650386288482696, 0.12284707605838775, 0.32519943540915847, 0.13306161924265325, 0.23149009475484492, 0.09599522870383226, 0.08707142519764602, 0.07632375149521976, 0.2195034276228398, 0.19564263539854437, 0.10175636442843825, -0.2805513072176836, -0.08285025640157982, 0.09692403386346995] |
712.3037 | Comments on "Improved Efficient Remote User Authentication Schemes" | Recently, Tian et al presented an article, in which they discussed some
security weaknesses of Yoon et al's scheme and subsequently proposed two
``improved'' schemes. In this paper, we show that the Tian et al's schemes are
insecure and vulnerable than the Yoon et al's scheme.
| cs.CR | recently tian et al presented an article in which they discussed some security weaknesses of yoon et als scheme and subsequently proposed two improved schemes in this paper we show that the tian et als schemes are insecure and vulnerable than the yoon et als scheme | [['recently', 'tian', 'et', 'al', 'presented', 'an', 'article', 'in', 'which', 'they', 'discussed', 'some', 'security', 'weaknesses', 'of', 'yoon', 'et', 'als', 'scheme', 'and', 'subsequently', 'proposed', 'two', 'improved', 'schemes', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'tian', 'et', 'als', 'schemes', 'are', 'insecure', 'and', 'vulnerable', 'than', 'the', 'yoon', 'et', 'als', 'scheme']] | [-0.13764069087641395, -0.026069198246303764, -0.052535983961601945, 0.0015553865941119907, -0.06655654683709145, -0.20303868895153637, 0.0689507279160392, 0.3193406563900087, -0.15851190805678134, -0.3399567546970818, 0.05171365335927871, -0.2134996337370704, -0.30614636429464037, 0.2451483901468632, -0.31594301051581686, 0.09448134447650416, -0.03089791303500533, -0.23202025594756656, 0.02368931153677809, -0.5386859139670497, 0.29285023474822874, 0.2064152240915143, 0.35054510742749856, 0.0354327476968098, 0.04798881482818852, 0.013114578252577263, -0.1397495184539129, 0.018434644038991435, -0.18980972671899665, 0.06789402498701669, 0.2134441786810108, 0.15525009456779, 0.30916599297653075, -0.33127728167354414, -0.24032381788382065, 0.051567628463406276, 0.10810854021743264, 0.17835376801161582, -0.09096786675407835, -0.35888254672855785, 0.14260796982410323, -0.3270433633082101, -0.06501960317077844, -0.06331810023149718, 0.05079465371597072, 0.026762597070520987, -0.3089564223368855, 0.04759900798292264, 0.11891394246207632, 0.004000101592796652, 0.08537164610891562, -0.16684801467572866, -0.0035998462901815124, -0.05346302274088173, -0.06833466104960637, 0.04145136918953579, -0.008765384392893833, 0.05857373715844005, -0.20969493498863734, 0.2634457877341091, 0.0323251773557074, -0.10298007682127797, 0.21187568472131438, 0.11564376158639789, -0.18883109120044694, 0.03307426824112949, 0.10826509350875352, 0.1442620784206235, -0.08380462263670305, 0.06781537445899828, -0.11945638997080411, 0.08950887588055237, 0.16854586163738175, 0.013135847807659404, -0.042411848173841186, 0.0340421918131735, -0.022804719881842964, -0.03576000158310584, -0.037127896844733346, -0.08079876309974403, -0.20492219451167012, -0.17454833540377085, -0.13082135087081595, -0.07621475458954988, 0.08811165979600248, -0.03365585635132764, 0.34606182748883957, 0.26039565564639383, 0.18689101023356552, -0.04472144004514279, 0.35236282031173294, -0.00901039782911539, -0.08289679650055326, 0.26890987643729086, 0.3163092564316922, 0.11996946896871795, 0.16043134969051764, -0.15368329453201074, 0.054168620015211076, 0.14622989555557622] |
712.3038 | Towards observable signatures of other bubble universes II: Exact
solutions for thin-wall bubble collisions | We assess the effects of a collision between two vacuum bubbles in the
thin-wall limit. After describing the outcome of a generic collision possessing
the expected hyperbolic symmetry, we focus on collisions experienced by a
bubble containing positive vacuum energy, which could in principle contain our
observable universe. We provide criteria governing whether the post-collision
domain wall accelerates towards or away from this "observation" bubble, and
discuss the implications for observers located at various positions inside of
the bubble. Then, we identify the class of solutions which have minimal impact
on the interior of the observation bubble, and derive a simple formula for the
energy density of a shell of radiation emitted from such a collision. In the
context of a universe undergoing false vacuum eternal inflation, these
solutions are perhaps the most promising candidates for collisions that could
exist within our past light cone, and therefore in principle be observable.
| hep-th astro-ph gr-qc | we assess the effects of a collision between two vacuum bubbles in the thinwall limit after describing the outcome of a generic collision possessing the expected hyperbolic symmetry we focus on collisions experienced by a bubble containing positive vacuum energy which could in principle contain our observable universe we provide criteria governing whether the postcollision domain wall accelerates towards or away from this observation bubble and discuss the implications for observers located at various positions inside of the bubble then we identify the class of solutions which have minimal impact on the interior of the observation bubble and derive a simple formula for the energy density of a shell of radiation emitted from such a collision in the context of a universe undergoing false vacuum eternal inflation these solutions are perhaps the most promising candidates for collisions that could exist within our past light cone and therefore in principle be observable | [['we', 'assess', 'the', 'effects', 'of', 'a', 'collision', 'between', 'two', 'vacuum', 'bubbles', 'in', 'the', 'thinwall', 'limit', 'after', 'describing', 'the', 'outcome', 'of', 'a', 'generic', 'collision', 'possessing', 'the', 'expected', 'hyperbolic', 'symmetry', 'we', 'focus', 'on', 'collisions', 'experienced', 'by', 'a', 'bubble', 'containing', 'positive', 'vacuum', 'energy', 'which', 'could', 'in', 'principle', 'contain', 'our', 'observable', 'universe', 'we', 'provide', 'criteria', 'governing', 'whether', 'the', 'postcollision', 'domain', 'wall', 'accelerates', 'towards', 'or', 'away', 'from', 'this', 'observation', 'bubble', 'and', 'discuss', 'the', 'implications', 'for', 'observers', 'located', 'at', 'various', 'positions', 'inside', 'of', 'the', 'bubble', 'then', 'we', 'identify', 'the', 'class', 'of', 'solutions', 'which', 'have', 'minimal', 'impact', 'on', 'the', 'interior', 'of', 'the', 'observation', 'bubble', 'and', 'derive', 'a', 'simple', 'formula', 'for', 'the', 'energy', 'density', 'of', 'a', 'shell', 'of', 'radiation', 'emitted', 'from', 'such', 'a', 'collision', 'in', 'the', 'context', 'of', 'a', 'universe', 'undergoing', 'false', 'vacuum', 'eternal', 'inflation', 'these', 'solutions', 'are', 'perhaps', 'the', 'most', 'promising', 'candidates', 'for', 'collisions', 'that', 'could', 'exist', 'within', 'our', 'past', 'light', 'cone', 'and', 'therefore', 'in', 'principle', 'be', 'observable']] | [-0.11126695490065987, 0.14183261811067135, -0.13891029526288343, 0.08442198938211358, -0.04914943521706671, -0.0790898299479968, 0.036212545554369494, 0.3291437131081344, -0.21493637416471684, -0.28856885849516717, 0.11806341771819684, -0.26217548861993256, -0.05018180841425841, 0.17609127698503188, 0.0025663905617809317, -0.01876539795502206, 0.056330655376497805, 0.053816501439945305, -0.03403834951270544, -0.17647412545140215, 0.35693970866754204, 0.05737874303506502, 0.23307242574453946, 0.07417979893206761, 0.10247682354224859, -0.03722173026577872, -0.013345900805827402, 0.04321633368755216, -0.16034159887396454, 0.08013468408619442, 0.19896677932054396, 0.1358307716051203, 0.2629431632227135, -0.4593458190461658, -0.21502436080096377, 0.14137061518526, 0.130441999468422, 0.152545739413973, -0.11201462951343852, -0.2799588072280221, 0.03823168800884722, -0.16653315780764533, -0.2121272625629821, 0.01476108058146047, 0.02930013696040144, -0.006406234916521618, -0.2389482164929701, 0.10516936553716166, 0.004775976148489493, -0.012667887838941301, -0.09100759344095277, -0.05959859253863329, -0.025327161103271146, 0.0655136935695056, 0.0896109321851604, -0.01645929754761029, 0.17158469616432384, -0.14342847841773307, -0.09224542744445387, 0.39298592680843164, -0.06268232910422028, -0.14101799805679463, 0.19203279051460967, -0.1897727891306288, -0.1011594834564784, 0.16466822135046322, 0.18899416134674227, 0.13426010892880674, -0.1328454044067751, 0.05509439184652666, -0.0048512482301745295, 0.0973863456165418, 0.14634205689437885, 0.0577762360555052, 0.32413269340103823, 0.1582119971149854, 0.010114010995475958, 0.14114851033274972, -0.10011266124132552, -0.11416283336048637, -0.39383182262644073, -0.14745628528238355, -0.14953466127965823, 0.06314824608660347, -0.1001980163320623, -0.16737611285266843, 0.3545623227255419, 0.12587702542000653, 0.184912674585419, -0.0131585925666381, 0.23039016268209905, 0.06515919456963076, 0.040780015427568914, 0.10284279637340925, 0.32044248632001165, 0.04645731596936108, 0.08958745187777557, -0.22319011154564541, 0.06081189881911538, 0.05391209563610471] |
712.3039 | A note on generalized equivariant homotopy groups | In this paper, we generalize the equivariant homotopy groups or equivalently
the Rhodes groups. We establish a short exact sequence relating the generalized
Rhodes groups and the generalized Fox homotopy groups and we introduce
$\Gamma$-Rhodes groups, where $\Gamma$ admits a certain co-grouplike structure.
Evaluation subgroups of $\Gamma$-Rhodes groups are discussed.
| math.AT | in this paper we generalize the equivariant homotopy groups or equivalently the rhodes groups we establish a short exact sequence relating the generalized rhodes groups and the generalized fox homotopy groups and we introduce gammarhodes groups where gamma admits a certain cogrouplike structure evaluation subgroups of gammarhodes groups are discussed | [['in', 'this', 'paper', 'we', 'generalize', 'the', 'equivariant', 'homotopy', 'groups', 'or', 'equivalently', 'the', 'rhodes', 'groups', 'we', 'establish', 'a', 'short', 'exact', 'sequence', 'relating', 'the', 'generalized', 'rhodes', 'groups', 'and', 'the', 'generalized', 'fox', 'homotopy', 'groups', 'and', 'we', 'introduce', 'gammarhodes', 'groups', 'where', 'gamma', 'admits', 'a', 'certain', 'cogrouplike', 'structure', 'evaluation', 'subgroups', 'of', 'gammarhodes', 'groups', 'are', 'discussed']] | [-0.21716805416694346, 0.09787642093811263, -0.12663007135245394, 0.1646001665788564, -0.10394746218708918, -0.10399454473418758, 0.06149479161645781, 0.3924522879434393, -0.32515226625540156, -0.2138288162173109, 0.11489680958069623, -0.20183075387823454, -0.17825865427012297, 0.14946566283841559, -0.1907154603048842, -0.11795066236369708, 0.02717053832763687, 0.10177942676757007, -0.09613887874528448, -0.2665303698809015, 0.4215555263168, -0.06660663969121239, 0.23129309884949334, 0.022218211952775242, 0.07136755509975742, 0.042447384853074525, -0.1017451840353773, 0.007301083498416429, -0.19205487007275224, 0.1697801921041088, 0.3159617697225606, 0.005658743506733408, 0.2425443001854372, -0.3308346326205325, -0.13346794889645375, 0.2352943647098034, 0.13367365345239957, 0.006960284098626134, -0.07237219231381536, -0.33990998677116757, 0.10183623991906643, -0.22947760751381754, -0.09704568249450878, -0.06962900048002918, 0.03309285216915243, 0.09667136783691797, -0.15593192718075985, 0.029157283497934647, 0.04338703605722874, 0.12341534823892598, -0.07109936319806791, -0.0944269267703466, 0.04565876256674528, 0.1839095125856631, 0.005618220829266183, -0.02392611228563684, 0.07816104360043685, -0.025729788402888053, -0.16564483342177055, 0.40892078578868446, -0.015494066270742011, -0.19827266354510126, 0.14092820933326444, -0.12258706412258301, -0.31345111669655495, 0.07312728092074394, 0.044105643129095116, 0.16853822946072894, -0.021379634739206906, 0.18701120348835482, -0.1540469920183433, 0.051285129704294684, 0.14984435085801684, -0.07350221500196989, 0.04514469550129898, 0.08134709948554952, 0.03287746989108781, 0.19617312500609996, 0.07284578741429017, 0.04755589675079001, -0.31760598727046174, -0.203471461080629, -0.021240679784975153, 0.12326767628497266, -0.08530758034891171, -0.17971596756870759, 0.442194595536653, 0.03073928326843901, 0.10590520096903151, 0.24410935216385157, 0.14771877962382549, 0.043151025917935876, 0.010669023749676156, 0.07192455543244773, 0.046975559852224714, 0.28321483568783773, -0.08953674866798077, -0.09489244509963914, -0.049690231036870404, 0.29288357097477197] |
712.304 | Renormalization-scale independence of the physical cosmological constant | Treating the metric as a classical background field, we show that the
cosmological constant does not run with the renormalization scale -- contrary
to some claims in the literature.
| hep-th gr-qc hep-ph | treating the metric as a classical background field we show that the cosmological constant does not run with the renormalization scale contrary to some claims in the literature | [['treating', 'the', 'metric', 'as', 'a', 'classical', 'background', 'field', 'we', 'show', 'that', 'the', 'cosmological', 'constant', 'does', 'not', 'run', 'with', 'the', 'renormalization', 'scale', 'contrary', 'to', 'some', 'claims', 'in', 'the', 'literature']] | [-0.1237347765958735, 0.09157983580371365, -0.09783434122800827, 0.08605412506897535, -0.14268957058499968, -0.1019073576649784, -0.010288258681872062, 0.36301834801478045, -0.2293732433712908, -0.28706961178353857, 0.11400731325349105, -0.26010406030608074, -0.12958295111145293, 0.17308579052665404, -0.05334654719834881, 0.025440148543566465, 0.010316530442131417, 0.08223761218999114, -0.08622213142890749, -0.29440806090964805, 0.36163803349648205, 0.10587093719680395, 0.2702335472484784, 0.05433888527165566, 0.059686934866476804, -0.03478710153805358, -0.0839420512119042, 0.11909343398708318, -0.13568244532845192, -0.009732966510845082, 0.20175301082365746, 0.11358118238526263, 0.2802403671001749, -0.41257367682244095, -0.2817361115344933, 0.13235183858445712, 0.13316304156822817, 0.2210098873557789, -0.07062342446962637, -0.2275348439413522, 0.07230439266589071, -0.14173924056480505, -0.13529194962965058, -0.03187511115434712, -0.04604250805901496, -0.028509391704574227, -0.21105806461335824, 0.0702058503936444, 0.03970101904789252, -0.03050327903058912, -0.06294985983653792, -0.08272010191077632, 0.04539117602897542, 0.08624506848199028, 0.18375045120982186, 0.09715645567380957, 0.1605049786989444, -0.16179667666022265, -0.11917419696692377, 0.416460856795311, -0.19162648187817208, -0.22528285619669727, 0.17890571024534957, -0.1915149563657386, -0.151381650091415, 0.01335703142519508, 0.06883153578798686, 0.09508600495090443, -0.09923196956515312, 0.18104726169258356, -0.06125985884240696, 0.22329963963212712, 0.04106172267347574, 0.006957562523894012, 0.11504780794244393, 0.04680682811886072, 0.04290350623029683, 0.00199160906153598, -0.05501421793763127, -0.14992268556462868, -0.404844766748803, -0.11694208073562809, -0.17825595369296415, 0.10755530705760716, -0.10525294689328543, -0.2294499244807022, 0.298185203889651, 0.23349886175336515, 0.23504276006549066, 0.10186121922119387, 0.2617106579377183, 0.05329473901656456, 0.10165380773833022, 0.13006892793678812, 0.3149954079136868, 0.0800865830055305, 0.09944888783086624, -0.20673018294785703, 0.014587508082123739, 0.026449491436194097] |
712.3041 | The Complexity of the Consistency and N-representability Problems for
Quantum States | QMA (Quantum Merlin-Arthur) is the quantum analogue of the class NP. There
are a few QMA-complete problems, most notably the ``Local Hamiltonian'' problem
introduced by Kitaev. In this dissertation we show some new QMA-complete
problems.
The first one is ``Consistency of Local Density Matrices'': given several
density matrices describing different (constant-size) subsets of an n-qubit
system, decide whether these are consistent with a single global state. This
problem was first suggested by Aharonov. We show that it is QMA-complete, via
an oracle reduction from Local Hamiltonian. This uses algorithms for convex
optimization with a membership oracle, due to Yudin and Nemirovskii.
Next we show that two problems from quantum chemistry, ``Fermionic Local
Hamiltonian'' and ``N-representability,'' are QMA-complete. These problems
arise in calculating the ground state energies of molecular systems.
N-representability is a key component in recently developed numerical methods
using the contracted Schrodinger equation. Although these problems have been
studied since the 1960's, it is only recently that the theory of quantum
computation has allowed us to properly characterize their complexity.
Finally, we study some special cases of the Consistency problem, pertaining
to 1-dimensional and ``stoquastic'' systems. We also give an alternative proof
of a result due to Jaynes: whenever local density matrices are consistent, they
are consistent with a Gibbs state.
| quant-ph | qma quantum merlinarthur is the quantum analogue of the class np there are a few qmacomplete problems most notably the local hamiltonian problem introduced by kitaev in this dissertation we show some new qmacomplete problems the first one is consistency of local density matrices given several density matrices describing different constantsize subsets of an nqubit system decide whether these are consistent with a single global state this problem was first suggested by aharonov we show that it is qmacomplete via an oracle reduction from local hamiltonian this uses algorithms for convex optimization with a membership oracle due to yudin and nemirovskii next we show that two problems from quantum chemistry fermionic local hamiltonian and nrepresentability are qmacomplete these problems arise in calculating the ground state energies of molecular systems nrepresentability is a key component in recently developed numerical methods using the contracted schrodinger equation although these problems have been studied since the 1960s it is only recently that the theory of quantum computation has allowed us to properly characterize their complexity finally we study some special cases of the consistency problem pertaining to 1dimensional and stoquastic systems we also give an alternative proof of a result due to jaynes whenever local density matrices are consistent they are consistent with a gibbs state | [['qma', 'quantum', 'merlinarthur', 'is', 'the', 'quantum', 'analogue', 'of', 'the', 'class', 'np', 'there', 'are', 'a', 'few', 'qmacomplete', 'problems', 'most', 'notably', 'the', 'local', 'hamiltonian', 'problem', 'introduced', 'by', 'kitaev', 'in', 'this', 'dissertation', 'we', 'show', 'some', 'new', 'qmacomplete', 'problems', 'the', 'first', 'one', 'is', 'consistency', 'of', 'local', 'density', 'matrices', 'given', 'several', 'density', 'matrices', 'describing', 'different', 'constantsize', 'subsets', 'of', 'an', 'nqubit', 'system', 'decide', 'whether', 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712.3042 | Dynamic force spectroscopy on multiple bonds: experiments and model | We probe the dynamic strength of multiple biotin-streptavidin adhesion bonds
under linear loading using the biomembrane force probe setup for dynamic force
spectroscopy. Measured rupture force histograms are compared to results from a
master equation model for the stochastic dynamics of bond rupture under load.
This allows us to extract the distribution of the number of initially closed
bonds. We also extract the molecular parameters of the adhesion bonds, in good
agreement with earlier results from single bond experiments. Our analysis shows
that the peaks in the measured histograms are not simple multiples of the
single bond values, but follow from a superposition procedure which generates
different peak positions.
| q-bio.BM cond-mat.soft physics.bio-ph | we probe the dynamic strength of multiple biotinstreptavidin adhesion bonds under linear loading using the biomembrane force probe setup for dynamic force spectroscopy measured rupture force histograms are compared to results from a master equation model for the stochastic dynamics of bond rupture under load this allows us to extract the distribution of the number of initially closed bonds we also extract the molecular parameters of the adhesion bonds in good agreement with earlier results from single bond experiments our analysis shows that the peaks in the measured histograms are not simple multiples of the single bond values but follow from a superposition procedure which generates different peak positions | [['we', 'probe', 'the', 'dynamic', 'strength', 'of', 'multiple', 'biotinstreptavidin', 'adhesion', 'bonds', 'under', 'linear', 'loading', 'using', 'the', 'biomembrane', 'force', 'probe', 'setup', 'for', 'dynamic', 'force', 'spectroscopy', 'measured', 'rupture', 'force', 'histograms', 'are', 'compared', 'to', 'results', 'from', 'a', 'master', 'equation', 'model', 'for', 'the', 'stochastic', 'dynamics', 'of', 'bond', 'rupture', 'under', 'load', 'this', 'allows', 'us', 'to', 'extract', 'the', 'distribution', 'of', 'the', 'number', 'of', 'initially', 'closed', 'bonds', 'we', 'also', 'extract', 'the', 'molecular', 'parameters', 'of', 'the', 'adhesion', 'bonds', 'in', 'good', 'agreement', 'with', 'earlier', 'results', 'from', 'single', 'bond', 'experiments', 'our', 'analysis', 'shows', 'that', 'the', 'peaks', 'in', 'the', 'measured', 'histograms', 'are', 'not', 'simple', 'multiples', 'of', 'the', 'single', 'bond', 'values', 'but', 'follow', 'from', 'a', 'superposition', 'procedure', 'which', 'generates', 'different', 'peak', 'positions']] | [-0.1099729017598059, 0.12964560121774177, -0.12845829744404608, 0.017558890750520615, -0.016204859172805734, -0.17282313816762024, 0.08931337884806712, 0.39495911616661133, -0.289669219438636, -0.2865503154558326, -0.02177978490496379, -0.2907522195169687, -0.12123463836438748, 0.19777464054721416, 0.04053167468406807, 0.038587443533897134, 0.0652583857929898, -0.0033060703170272186, -0.010073794195120897, -0.16627790781438623, 0.24193449896854272, 0.05989614986908545, 0.34349562747216006, 0.053379151067662334, 0.0722067990007067, 0.027403279739526023, 0.015556444108503265, 0.027664122526286118, -0.1843968517803977, 0.09736152930578235, 0.17891201395712314, 0.008431810915572654, 0.2191627246387508, -0.4825621036761398, -0.1954794626163934, 0.04846916334925715, 0.09606348307041768, 0.1573060190277345, 0.008012496488203012, -0.22437193504440675, 0.006871045336400697, -0.13974588450659578, -0.13655059323475244, -0.07726116410730013, 0.007720944223874206, 0.09801726041515486, -0.29282723659854554, 0.13140072292459215, -0.03529345286943856, 0.07300037781306364, -0.12800422140211293, -0.08627446215394713, -0.04289056919301527, 0.1421068451418584, 0.05021654057354931, 0.021881416461370682, 0.22768907207961475, -0.09036424981404541, -0.0871541378806012, 0.3995984787219674, -0.08044392063384961, -0.16399783974325438, 0.16009337629764042, -0.14277601184818997, -0.1340585544987351, 0.17927596551460137, 0.10821309590011562, 0.07492738530048332, -0.17189083745651837, -0.044484349388475404, -0.01941013538680219, 0.16562864780767794, 0.1225502733461593, -0.030814875695395705, 0.18341615018562987, 0.14813101518719773, 0.03008007198367097, 0.16465750942647525, -0.15222466395262185, -0.15130921366086247, -0.2744744467648353, -0.08970807211200169, -0.17551253025351657, 0.025674686992648826, -0.1292955343004897, -0.157605409678798, 0.3804725852171215, 0.13229521207613956, 0.22320479280187175, 0.07793230006424283, 0.25619877090489646, 0.0844017931873218, 0.09382524670725433, -0.0009669826639423129, 0.23447977285511756, 0.14182430426291096, 0.07300879645861959, -0.23201209890502378, 0.1272871397999585, 0.005456318969863954] |
712.3043 | On the correspondence principle: implications from a study of the
chaotic dynamics of a macroscopic quantum device | The recovery of classical chaotic dynamics from quantum systems has long been
a subject of interest. Furthermore, recent work indicates that quantum chaos
may well be significant in quantum information processing. In this paper we
discuss the quantum to classical crossover of a superconducting quantum
inference device (SQUID) ring. Such devices comprise of thick superconducting
loop enclosing a Josephson weak link. These devices are currently strong
candidates for many applications in quantum technologies. The weak link brings
with it a non-linearity such that semi-classical models of this system can
exhibit chaotic dynamics. For many similar systems an application of the
correspondence principle together with the inclusion of environmental degrees
of freedom through a quantum trajectories approach can be used to effectively
recover classical dynamics. Here we show (i) that the standard expression of
the correspondence principle is incompatible with the ring Hamiltonian and we
present a more pragmatic and general expression which finds application here
and (ii) that practical limitations to circuit parameters of the SQUID ring
prevent arbitrarily accurate recovery of classical chaotic dynamics.
| quant-ph cond-mat.mes-hall cond-mat.other cond-mat.supr-con | the recovery of classical chaotic dynamics from quantum systems has long been a subject of interest furthermore recent work indicates that quantum chaos may well be significant in quantum information processing in this paper we discuss the quantum to classical crossover of a superconducting quantum inference device squid ring such devices comprise of thick superconducting loop enclosing a josephson weak link these devices are currently strong candidates for many applications in quantum technologies the weak link brings with it a nonlinearity such that semiclassical models of this system can exhibit chaotic dynamics for many similar systems an application of the correspondence principle together with the inclusion of environmental degrees of freedom through a quantum trajectories approach can be used to effectively recover classical dynamics here we show i that the standard expression of the correspondence principle is incompatible with the ring hamiltonian and we present a more pragmatic and general expression which finds application here and ii that practical limitations to circuit parameters of the squid ring prevent arbitrarily accurate recovery of classical chaotic dynamics | [['the', 'recovery', 'of', 'classical', 'chaotic', 'dynamics', 'from', 'quantum', 'systems', 'has', 'long', 'been', 'a', 'subject', 'of', 'interest', 'furthermore', 'recent', 'work', 'indicates', 'that', 'quantum', 'chaos', 'may', 'well', 'be', 'significant', 'in', 'quantum', 'information', 'processing', 'in', 'this', 'paper', 'we', 'discuss', 'the', 'quantum', 'to', 'classical', 'crossover', 'of', 'a', 'superconducting', 'quantum', 'inference', 'device', 'squid', 'ring', 'such', 'devices', 'comprise', 'of', 'thick', 'superconducting', 'loop', 'enclosing', 'a', 'josephson', 'weak', 'link', 'these', 'devices', 'are', 'currently', 'strong', 'candidates', 'for', 'many', 'applications', 'in', 'quantum', 'technologies', 'the', 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712.3044 | Observation of electromagnon excitations in the BiFe0$_3$ spiral magnet | Recently, oxide multiferroics have attracted much attention due to their
large magnetoelectric effect which allows the tuning of magnetic properties
with electric field and vice versa and open new venues for future spintronic
applications such as multiple-state memory devices with dual magnetic and
electric control. BiFeO$_3$ (BFO) belongs to this new class of materials and
shows both ferroelectric and antiferromagnetic orders at room temperature with
a large electric polarizationassociated with a cycloidal spiral magnetic
ordering. The incommensurate magnetic order induces magnon zone folding and
allows investigations by optical probes of unusual spin waves which couples to
optical phonons, the so called "`electromagnons"'. Here, we unravel for the
first time the electromagnon spectra of BFO by means low energy inelastic light
scattering technique. We show the existence of two species of electromagnons
corresponding to spin wave excitations in and out of the cycloidal plane. The
present observations present an unique opportunity to study the interplay
between ferroelectric and magnetic orders.
| cond-mat.str-el | recently oxide multiferroics have attracted much attention due to their large magnetoelectric effect which allows the tuning of magnetic properties with electric field and vice versa and open new venues for future spintronic applications such as multiplestate memory devices with dual magnetic and electric control bifeo_3 bfo belongs to this new class of materials and shows both ferroelectric and antiferromagnetic orders at room temperature with a large electric polarizationassociated with a cycloidal spiral magnetic ordering the incommensurate magnetic order induces magnon zone folding and allows investigations by optical probes of unusual spin waves which couples to optical phonons the so called electromagnons here we unravel for the first time the electromagnon spectra of bfo by means low energy inelastic light scattering technique we show the existence of two species of electromagnons corresponding to spin wave excitations in and out of the cycloidal plane the present observations present an unique opportunity to study the interplay between ferroelectric and magnetic orders | [['recently', 'oxide', 'multiferroics', 'have', 'attracted', 'much', 'attention', 'due', 'to', 'their', 'large', 'magnetoelectric', 'effect', 'which', 'allows', 'the', 'tuning', 'of', 'magnetic', 'properties', 'with', 'electric', 'field', 'and', 'vice', 'versa', 'and', 'open', 'new', 'venues', 'for', 'future', 'spintronic', 'applications', 'such', 'as', 'multiplestate', 'memory', 'devices', 'with', 'dual', 'magnetic', 'and', 'electric', 'control', 'bifeo_3', 'bfo', 'belongs', 'to', 'this', 'new', 'class', 'of', 'materials', 'and', 'shows', 'both', 'ferroelectric', 'and', 'antiferromagnetic', 'orders', 'at', 'room', 'temperature', 'with', 'a', 'large', 'electric', 'polarizationassociated', 'with', 'a', 'cycloidal', 'spiral', 'magnetic', 'ordering', 'the', 'incommensurate', 'magnetic', 'order', 'induces', 'magnon', 'zone', 'folding', 'and', 'allows', 'investigations', 'by', 'optical', 'probes', 'of', 'unusual', 'spin', 'waves', 'which', 'couples', 'to', 'optical', 'phonons', 'the', 'so', 'called', 'electromagnons', 'here', 'we', 'unravel', 'for', 'the', 'first', 'time', 'the', 'electromagnon', 'spectra', 'of', 'bfo', 'by', 'means', 'low', 'energy', 'inelastic', 'light', 'scattering', 'technique', 'we', 'show', 'the', 'existence', 'of', 'two', 'species', 'of', 'electromagnons', 'corresponding', 'to', 'spin', 'wave', 'excitations', 'in', 'and', 'out', 'of', 'the', 'cycloidal', 'plane', 'the', 'present', 'observations', 'present', 'an', 'unique', 'opportunity', 'to', 'study', 'the', 'interplay', 'between', 'ferroelectric', 'and', 'magnetic', 'orders']] | [-0.1828372254347174, 0.22610078986198567, -0.008016855022489274, -0.004336225300142834, -0.16623645310243299, -0.10015533040951258, 0.07049990136984666, 0.4306192596636291, -0.2941790843417622, -0.31195532773334367, 0.00610541417036475, -0.2968647185211149, -0.15149941248379928, 0.1867941282543137, 0.09742893596654231, -0.010628698821290859, -0.07577933158151477, -0.04293334527444914, -0.059787409731520795, -0.15355952379569035, 0.23270708995537376, -0.00259978425507463, 0.31035203970207265, 0.07931072615912922, 0.08265207703196027, 0.0066049389069630475, 0.10936919961757255, 0.006931185640347829, -0.1553385270766419, 0.09751460400618024, 0.260000291363916, -0.0765793044178647, 0.2055431273062977, -0.46417575484176854, -0.19241713147329273, 0.03989126444777764, 0.12862512461091363, 0.15722655347232126, -0.10678396401516858, -0.27741566230103654, 0.055296993358631814, -0.11037288851517621, -0.1492043251030582, -0.1791663764003641, 0.01409485009894267, 0.03303150579907328, -0.24689646680405913, 0.03943392186888359, 0.0771020368713909, 0.10399449520023926, -0.1345572318701819, -0.12296457582815264, -0.05832248372933681, 0.03559809182799837, 0.10446920065259058, 0.08770176272622585, 0.13053740322027566, -0.11439083799362511, -0.17940663449384225, 0.3532001113888087, -0.033486235422798306, -0.057760389824837166, 0.16155666924292608, -0.20844219756018334, -0.07696695579508753, 0.16460215353404037, 0.1510640683834867, 0.11103182411811215, -0.13430033956285356, 0.0704244215075445, 0.0413459951773545, 0.15832470378724262, 0.05218685342697427, 0.151841176703789, 0.3199611703379068, 0.21523549105187165, 0.047138602216581595, 0.19195053236172446, -0.1317528685929734, -0.009288121228627625, -0.18034941657540043, -0.15988018958823486, -0.16601552317466634, 0.06615392066003482, -0.06365521511783437, -0.17702578770219343, 0.4296847140744516, 0.1681367182846433, 0.13243661043029162, -0.09082039227890752, 0.26079967703799123, 0.060518298388177634, 0.0989784214282467, 0.036959081961416035, 0.2715591041008069, 0.2122547131898643, 0.18040391880105128, -0.30775747562424755, 0.054481219490052864, -0.017095756217868085] |
712.3045 | Physics and the measurement of continuous variables | Wigner had expressed the opinion that the impossibility of exact measurements
of single operators like position operators rendered the notion of geometrical
points somewhat dubious in physics. Using Sewell's recent resolution of the
measurement problem (collapse of the wave packet) in quantum mechanics and
extending it to the measurement of operators with continuous spectra, we are
able to compare the situation in quantum mechanics with that in quantum
mechanics. Our conclusion is that the notion of a geometrical point is as
meaningful in quantum mechanics as it is in classical mechanics.
| quant-ph | wigner had expressed the opinion that the impossibility of exact measurements of single operators like position operators rendered the notion of geometrical points somewhat dubious in physics using sewells recent resolution of the measurement problem collapse of the wave packet in quantum mechanics and extending it to the measurement of operators with continuous spectra we are able to compare the situation in quantum mechanics with that in quantum mechanics our conclusion is that the notion of a geometrical point is as meaningful in quantum mechanics as it is in classical mechanics | [['wigner', 'had', 'expressed', 'the', 'opinion', 'that', 'the', 'impossibility', 'of', 'exact', 'measurements', 'of', 'single', 'operators', 'like', 'position', 'operators', 'rendered', 'the', 'notion', 'of', 'geometrical', 'points', 'somewhat', 'dubious', 'in', 'physics', 'using', 'sewells', 'recent', 'resolution', 'of', 'the', 'measurement', 'problem', 'collapse', 'of', 'the', 'wave', 'packet', 'in', 'quantum', 'mechanics', 'and', 'extending', 'it', 'to', 'the', 'measurement', 'of', 'operators', 'with', 'continuous', 'spectra', 'we', 'are', 'able', 'to', 'compare', 'the', 'situation', 'in', 'quantum', 'mechanics', 'with', 'that', 'in', 'quantum', 'mechanics', 'our', 'conclusion', 'is', 'that', 'the', 'notion', 'of', 'a', 'geometrical', 'point', 'is', 'as', 'meaningful', 'in', 'quantum', 'mechanics', 'as', 'it', 'is', 'in', 'classical', 'mechanics']] | [-0.07877368348223777, 0.13564791712496016, -0.14790545252358747, 0.055868585473702596, -0.035007250982905844, -0.14438444016915228, 0.033840339330749376, 0.31451354086813, -0.2624448821776443, -0.2701153878122568, 0.05166433711613839, -0.3050164851049582, -0.1604822363704443, 0.16861261438785327, -0.10805541534597675, 0.11527392662440737, 0.05544407413625676, 0.06777362865913246, -0.09870095083541754, -0.18108589918249182, 0.33159511072768105, 0.07862219022483462, 0.25881822229259543, 0.033879932875020634, 0.08345139372783403, 0.0455882661561999, -0.0027097382893164954, 0.02047452942157785, -0.0842058526183084, 0.09991287554795336, 0.27007931359888365, 0.15519019675234125, 0.2531344651244581, -0.43292696900251837, -0.22221359397388166, 0.07393996662770709, 0.09010869295129345, 0.14281065544734398, -0.008323482786201769, -0.313001074641943, 0.029171094722631904, -0.1367205161601305, -0.16678127073165444, -0.05541144944210019, 0.01672528017208808, -0.04037945661693811, -0.15689078926419217, 0.12159201808713584, 0.07581280239133371, 0.05437699710536334, -0.04227502747024927, -0.03496538172993395, 0.027655375404800807, 0.09651631491983102, -0.015578136771606903, 0.02408195559659766, 0.13712937773800352, -0.13989122453042202, -0.18524677788631783, 0.4480078627562357, 0.005312738267497884, -0.25603277395582863, 0.15493594853000509, -0.18657246488146484, -0.14640717094557154, 0.06090631712641981, 0.08720893145331907, 0.09626415237629166, -0.1109924074779782, 0.07570789919377098, -0.06578152074022607, 0.13599280129451977, 0.06602581885850264, 0.09606124552794629, 0.1949658393756383, 0.09428245655985343, 0.029632503104706606, 0.10589914895180198, -0.03872302586161014, -0.2297950652997113, -0.34504686650923555, -0.18180969460065374, -0.22256713717555007, 0.11596247351052524, -0.060476156173940074, -0.17586727910157707, 0.3559670815632368, 0.18963729098840204, 0.18815753385424613, 0.02071601575654414, 0.26981781820456185, 0.1415915190268101, 0.04354453541131483, -0.014777189037866062, 0.28660629376148183, 0.17936104278390605, 0.13502508224919438, -0.17047642124299373, 0.04191799440757475, 0.07087464856061464] |
712.3046 | Spectral Flow in AdS(3)/CFT(2) | We study the spectral flowed sectors of the H3 WZW model in the context of
the holographic duality between type IIB string theory in AdS(3)x S^3 x T^4
with NSNS flux and the symmetric product orbifold of T^4. We construct
explicitly the physical vertex operators in the flowed sectors that belong to
short representations of the superalgebra, thus completing the bulk-to-boundary
dictionary for 1/2 BPS states. We perform a partial calculation of the string
three-point functions of these operators. A complete calculation would require
the three-point couplings of non-extremal flowed operators in the H3 WZW model,
which are at present unavailable. In the unflowed sector, perfect agreement has
recently been found between the bulk and boundary three-point functions of 1/2
BPS operators. Assuming that this agreement persists in the flowed sectors, we
determine certain unknown three-point couplings in the H3 WZW model in terms of
three-point couplings of affine descendants in the SU(2) WZW model.
| hep-th | we study the spectral flowed sectors of the h3 wzw model in the context of the holographic duality between type iib string theory in ads3x s3 x t4 with nsns flux and the symmetric product orbifold of t4 we construct explicitly the physical vertex operators in the flowed sectors that belong to short representations of the superalgebra thus completing the bulktoboundary dictionary for 12 bps states we perform a partial calculation of the string threepoint functions of these operators a complete calculation would require the threepoint couplings of nonextremal flowed operators in the h3 wzw model which are at present unavailable in the unflowed sector perfect agreement has recently been found between the bulk and boundary threepoint functions of 12 bps operators assuming that this agreement persists in the flowed sectors we determine certain unknown threepoint couplings in the h3 wzw model in terms of threepoint couplings of affine descendants in the su2 wzw model | [['we', 'study', 'the', 'spectral', 'flowed', 'sectors', 'of', 'the', 'h3', 'wzw', 'model', 'in', 'the', 'context', 'of', 'the', 'holographic', 'duality', 'between', 'type', 'iib', 'string', 'theory', 'in', 'ads3x', 's3', 'x', 't4', 'with', 'nsns', 'flux', 'and', 'the', 'symmetric', 'product', 'orbifold', 'of', 't4', 'we', 'construct', 'explicitly', 'the', 'physical', 'vertex', 'operators', 'in', 'the', 'flowed', 'sectors', 'that', 'belong', 'to', 'short', 'representations', 'of', 'the', 'superalgebra', 'thus', 'completing', 'the', 'bulktoboundary', 'dictionary', 'for', '12', 'bps', 'states', 'we', 'perform', 'a', 'partial', 'calculation', 'of', 'the', 'string', 'threepoint', 'functions', 'of', 'these', 'operators', 'a', 'complete', 'calculation', 'would', 'require', 'the', 'threepoint', 'couplings', 'of', 'nonextremal', 'flowed', 'operators', 'in', 'the', 'h3', 'wzw', 'model', 'which', 'are', 'at', 'present', 'unavailable', 'in', 'the', 'unflowed', 'sector', 'perfect', 'agreement', 'has', 'recently', 'been', 'found', 'between', 'the', 'bulk', 'and', 'boundary', 'threepoint', 'functions', 'of', '12', 'bps', 'operators', 'assuming', 'that', 'this', 'agreement', 'persists', 'in', 'the', 'flowed', 'sectors', 'we', 'determine', 'certain', 'unknown', 'threepoint', 'couplings', 'in', 'the', 'h3', 'wzw', 'model', 'in', 'terms', 'of', 'threepoint', 'couplings', 'of', 'affine', 'descendants', 'in', 'the', 'su2', 'wzw', 'model']] | [-0.15074220802931698, 0.13078322581143356, -0.010359718570838762, 0.13387167425689234, -0.03178879761690992, -0.12303871489769104, -0.0183962391608766, 0.3388382681322838, -0.13213206767378485, -0.22404581678459068, 0.07125282954208528, -0.29738372194221596, -0.12294283713475844, 0.059692560153362016, -0.010735361946418005, 0.006449217500250324, -0.011572245736697725, 0.05792622401506877, -0.17080963416225917, -0.2552341766338917, 0.341874004828628, -0.029134753951498497, 0.26845865833627824, 0.06998664552796316, 0.07191464999459343, -0.005313693178251532, -0.04656656963288102, -0.06237701195432178, -0.14131009084153714, 0.11520881233987965, 0.26035119714884974, 0.050130531132476876, 0.048522683552898516, -0.47820103829543964, -0.17419190778476157, 0.14642744280057016, 0.16311230812011762, 0.08849398751387044, 0.046248369685867256, -0.2517757828840438, -0.00014953380694089372, -0.21729163954405759, -0.1419521241899263, -0.06125745297488726, 0.00422998627927763, -0.08302990172143562, -0.24760338615053912, 0.13057646359483638, -0.029465309313796702, 0.012386929090104365, -0.06345587111766042, -0.1084170757003092, -0.14135378218724642, 0.13340461636388223, 0.08854435346838013, 0.090683850140183, 0.09163486156795247, -0.2134883498173402, -0.14558632625609308, 0.2931986682579603, -0.09134741245580265, -0.2402406824643121, 0.11036348404374972, -0.2018749865450671, -0.23856013006792445, 0.07903487295265389, 0.06032088243408628, 0.1405108466507027, -0.1472942973882739, 0.23681554812679273, -0.06584052285529503, 0.11134553734620947, 0.08352156235757315, 0.04900863916935396, 0.2679590860479116, 0.06499110889739777, 0.00574758774456355, 0.1618374508738615, -0.0026294348801005315, -0.1125479091181012, -0.4437756502964333, -0.09987743461681103, -0.09216590753902554, 0.11958416590004478, -0.1378426686122563, -0.18374149467236076, 0.4093165960515928, 0.0788014191172384, 0.19385603385569614, 0.09150725641223949, 0.16118702192005574, 0.09486597470841766, 0.11948600171127789, 0.054112328176867536, 0.22535541121014, 0.1871014766553356, 0.06178559145353848, -0.24188262682097653, -0.11763890982861173, 0.211201136991126] |
712.3047 | High-resolution radio observations of submillimetre galaxies | We have produced sensitive, high-resolution radio maps of 12 SMGs in the
Lockman Hole using combined MERLIN and VLA data at a frequency of 1.4 GHz.
Integrating for 350hr yielded an r.m.s. noise of 6.0 uJy/beam and a resolution
of 0.2-0.5". For the first time, wide-field data from the two arrays have been
combined in the (u,v) plane and the bandwidth smearing response of the VLA data
has been removed. All of the SMGs are detected in our maps as well as sources
comprising a non-submm luminous control sample. We find evidence that SMGs are
more extended than the general uJy radio population and that therefore, unlike
in local ULIRGs, the starburst component of the radio emission is extended and
not confined to the galactic nucleus. For the eight sources with redshifts we
measure linear sizes between 1 and 8 kpc with a median of 5 kpc. Therefore,
they are in general larger than local ULIRGs which may support an early-stage
merger scenario for the starburst trigger. X-rays betray AGN in six of the 33
sources in the combined sample. All but one of these are in the control sample,
suggesting a lower incidence of AGN amongst the submm-luminous galaxies which
is, in turn, consistent with increased X-ray absorption in these dust-obscured
starbursts. Only one of our sources is resolved into multiple, distinct
components with our high-resolution data. Finally, compared to a previous study
of faint radio sources in the GOODS-N field we find systematically smaller
source sizes and no evidence for a tail extending to ~4". Possible reasons for
this are discussed.
| astro-ph | we have produced sensitive highresolution radio maps of 12 smgs in the lockman hole using combined merlin and vla data at a frequency of 14 ghz integrating for 350hr yielded an rms noise of 60 ujybeam and a resolution of 0205 for the first time widefield data from the two arrays have been combined in the uv plane and the bandwidth smearing response of the vla data has been removed all of the smgs are detected in our maps as well as sources comprising a nonsubmm luminous control sample we find evidence that smgs are more extended than the general ujy radio population and that therefore unlike in local ulirgs the starburst component of the radio emission is extended and not confined to the galactic nucleus for the eight sources with redshifts we measure linear sizes between 1 and 8 kpc with a median of 5 kpc therefore they are in general larger than local ulirgs which may support an earlystage merger scenario for the starburst trigger xrays betray agn in six of the 33 sources in the combined sample all but one of these are in the control sample suggesting a lower incidence of agn amongst the submmluminous galaxies which is in turn consistent with increased xray absorption in these dustobscured starbursts only one of our sources is resolved into multiple distinct components with our highresolution data finally compared to a previous study of faint radio sources in the goodsn field we find systematically smaller source sizes and no evidence for a tail extending to 4 possible reasons for this are discussed | [['we', 'have', 'produced', 'sensitive', 'highresolution', 'radio', 'maps', 'of', '12', 'smgs', 'in', 'the', 'lockman', 'hole', 'using', 'combined', 'merlin', 'and', 'vla', 'data', 'at', 'a', 'frequency', 'of', '14', 'ghz', 'integrating', 'for', '350hr', 'yielded', 'an', 'rms', 'noise', 'of', '60', 'ujybeam', 'and', 'a', 'resolution', 'of', '0205', 'for', 'the', 'first', 'time', 'widefield', 'data', 'from', 'the', 'two', 'arrays', 'have', 'been', 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712.3048 | Nonlinear Simulations of the Heat Flux Driven Buoyancy Instability and
its Implications for Galaxy Clusters | In low collisionality plasmas heat flows almost exclusively along magnetic
field lines, and the condition for stability to convection is modified from the
standard Schwarzschild criterion. We present local two and three-dimensional
simulations of a new heat flux driven buoyancy instability (the HBI) that
occurs when the temperature in a plasma decreases in the direction of gravity.
We find that the HBI drives a convective dynamo that amplifies an initially
weak magnetic field by a factor of ~20. In simulations that begin with the
magnetic field aligned with the temperature gradient, the HBI saturates by
rearranging the magnetic field lines to be almost purely perpendicular to the
initial temperature gradient. This magnetic field reorientation results in a
net heat flux through the plasma that is less than 1% of the field-free
(Spitzer) value. We show that the HBI is likely to be present in the cool cores
of clusters of galaxies between ~0.1-100 kpc, where the temperature increases
outwards. The saturated state of the HBI suggests that inward thermal
conduction from large radii in clusters is unlikely to solve the cooling flow
problem. Finally, we also suggest that the HBI may contribute to suppressing
conduction across cold fronts in galaxy clusters.
| astro-ph | in low collisionality plasmas heat flows almost exclusively along magnetic field lines and the condition for stability to convection is modified from the standard schwarzschild criterion we present local two and threedimensional simulations of a new heat flux driven buoyancy instability the hbi that occurs when the temperature in a plasma decreases in the direction of gravity we find that the hbi drives a convective dynamo that amplifies an initially weak magnetic field by a factor of 20 in simulations that begin with the magnetic field aligned with the temperature gradient the hbi saturates by rearranging the magnetic field lines to be almost purely perpendicular to the initial temperature gradient this magnetic field reorientation results in a net heat flux through the plasma that is less than 1 of the fieldfree spitzer value we show that the hbi is likely to be present in the cool cores of clusters of galaxies between 01100 kpc where the temperature increases outwards the saturated state of the hbi suggests that inward thermal conduction from large radii in clusters is unlikely to solve the cooling flow problem finally we also suggest that the hbi may contribute to suppressing conduction across cold fronts in galaxy clusters | [['in', 'low', 'collisionality', 'plasmas', 'heat', 'flows', 'almost', 'exclusively', 'along', 'magnetic', 'field', 'lines', 'and', 'the', 'condition', 'for', 'stability', 'to', 'convection', 'is', 'modified', 'from', 'the', 'standard', 'schwarzschild', 'criterion', 'we', 'present', 'local', 'two', 'and', 'threedimensional', 'simulations', 'of', 'a', 'new', 'heat', 'flux', 'driven', 'buoyancy', 'instability', 'the', 'hbi', 'that', 'occurs', 'when', 'the', 'temperature', 'in', 'a', 'plasma', 'decreases', 'in', 'the', 'direction', 'of', 'gravity', 'we', 'find', 'that', 'the', 'hbi', 'drives', 'a', 'convective', 'dynamo', 'that', 'amplifies', 'an', 'initially', 'weak', 'magnetic', 'field', 'by', 'a', 'factor', 'of', '20', 'in', 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712.3049 | ZOBOV: a parameter-free void-finding algorithm | ZOBOV (ZOnes Bordering On Voidness) is an algorithm that finds density
depressions in a set of points, without any free parameters, or assumptions
about shape. It uses the Voronoi tessellation to estimate densities, which it
uses to find both voids and subvoids. It also measures probabilities that each
void or subvoid arises from Poisson fluctuations. This paper describes the
ZOBOV algorithm, and the results from its application to the dark-matter
particles in a region of the Millennium Simulation. Additionally, the paper
points out an interesting high-density peak in the probability distribution of
dark-matter particle densities.
| astro-ph | zobov zones bordering on voidness is an algorithm that finds density depressions in a set of points without any free parameters or assumptions about shape it uses the voronoi tessellation to estimate densities which it uses to find both voids and subvoids it also measures probabilities that each void or subvoid arises from poisson fluctuations this paper describes the zobov algorithm and the results from its application to the darkmatter particles in a region of the millennium simulation additionally the paper points out an interesting highdensity peak in the probability distribution of darkmatter particle densities | [['zobov', 'zones', 'bordering', 'on', 'voidness', 'is', 'an', 'algorithm', 'that', 'finds', 'density', 'depressions', 'in', 'a', 'set', 'of', 'points', 'without', 'any', 'free', 'parameters', 'or', 'assumptions', 'about', 'shape', 'it', 'uses', 'the', 'voronoi', 'tessellation', 'to', 'estimate', 'densities', 'which', 'it', 'uses', 'to', 'find', 'both', 'voids', 'and', 'subvoids', 'it', 'also', 'measures', 'probabilities', 'that', 'each', 'void', 'or', 'subvoid', 'arises', 'from', 'poisson', 'fluctuations', 'this', 'paper', 'describes', 'the', 'zobov', 'algorithm', 'and', 'the', 'results', 'from', 'its', 'application', 'to', 'the', 'darkmatter', 'particles', 'in', 'a', 'region', 'of', 'the', 'millennium', 'simulation', 'additionally', 'the', 'paper', 'points', 'out', 'an', 'interesting', 'highdensity', 'peak', 'in', 'the', 'probability', 'distribution', 'of', 'darkmatter', 'particle', 'densities']] | [-0.054145391780121996, 0.076259338504432, -0.1604190406649904, 0.08222749890379047, -0.046106129614335876, -0.031916640343404905, 0.0709701470394809, 0.35540840282074865, -0.22560929331768265, -0.3107049417411608, 0.03700829255870313, -0.3031191702691778, -0.14867646557902317, 0.13952953674985716, -0.047272182533189516, -0.001865788533787934, 0.020596293752552362, 0.029251412423427707, -0.04367541306356709, -0.2382713161353823, 0.30685873348666454, 0.09041313120033792, 0.2840175991402238, -0.00579419788674161, 0.12852093293481776, -0.023320437153621067, -0.03852978612606724, 0.029930757759239084, -0.19033359526484447, 0.05619972515650975, 0.18877332717660936, 0.13245093622695533, 0.22989331674511715, -0.39353964489794546, -0.18684263175017932, 0.14989439924297634, 0.16880327521232508, 0.10878684855772243, -0.0639655614154093, -0.28346633722865455, 0.08494001396140584, -0.13254284416075035, -0.16335230402307965, 0.020756601185728144, 0.001091104191077012, 0.06375402640751614, -0.2793540907923573, 0.10339361112483436, 0.017015985173163235, -0.029657105284352458, -0.02440448890074647, -0.11850397416981318, -0.03160358234108376, 0.07697579636669127, 0.016005979407758962, 0.02059385608080574, 0.22161721761128114, -0.13979170627401322, -0.04866712945964067, 0.3852386086057591, 0.007827798800883435, -0.17684452898640146, 0.1765876159056901, -0.15315642388993173, -0.14711216835665605, 0.17448998762354737, 0.14834175787625775, 0.07177955515041787, -0.1332233968548857, 0.0868127957494649, -0.07032967442571517, 0.17855400067343508, 0.07127720339884681, -0.059206179002680444, 0.24483113994531494, 0.11231152492985931, 0.13987793802453946, 0.10953225149592806, -0.17684660290658313, -0.10980873277050353, -0.3052332592797616, -0.14620112685326447, -0.22049506807759886, -0.037386186130505095, -0.1444758884104905, -0.22067647749778405, 0.3686334216887111, 0.17620940079852457, 0.23044485593795455, 0.05762431297015639, 0.2981741276359366, 0.07368625990526315, 0.042173333511117, 0.12537900864156665, 0.1416334916827499, 0.09839110078931015, 0.05751208987547665, -0.14421727050656594, 0.05612902364553383, 0.0474192629623357] |
712.305 | Vector chiral order in frustrated spin chains | By means of a numerical analysis using a non-Abelian symmetry realization of
the density matrix renormalization group, we study the behavior of vector
chirality correlations in isotropic frustrated chains of spin S=1 and S=1/2,
subject to a strong external magnetic field. It is shown that the field induces
a phase with spontaneously broken chiral symmetry, in line with earlier
theoretical predictions. We present results on the field dependence of the
order parameter and the critical exponents.
| cond-mat.str-el cond-mat.other | by means of a numerical analysis using a nonabelian symmetry realization of the density matrix renormalization group we study the behavior of vector chirality correlations in isotropic frustrated chains of spin s1 and s12 subject to a strong external magnetic field it is shown that the field induces a phase with spontaneously broken chiral symmetry in line with earlier theoretical predictions we present results on the field dependence of the order parameter and the critical exponents | [['by', 'means', 'of', 'a', 'numerical', 'analysis', 'using', 'a', 'nonabelian', 'symmetry', 'realization', 'of', 'the', 'density', 'matrix', 'renormalization', 'group', 'we', 'study', 'the', 'behavior', 'of', 'vector', 'chirality', 'correlations', 'in', 'isotropic', 'frustrated', 'chains', 'of', 'spin', 's1', 'and', 's12', 'subject', 'to', 'a', 'strong', 'external', 'magnetic', 'field', 'it', 'is', 'shown', 'that', 'the', 'field', 'induces', 'a', 'phase', 'with', 'spontaneously', 'broken', 'chiral', 'symmetry', 'in', 'line', 'with', 'earlier', 'theoretical', 'predictions', 'we', 'present', 'results', 'on', 'the', 'field', 'dependence', 'of', 'the', 'order', 'parameter', 'and', 'the', 'critical', 'exponents']] | [-0.2319473294685993, 0.22223335911985487, -0.07714163663331419, 0.003770432736736869, -0.08389583845181685, -0.09667769368541868, 0.022522821994866, 0.4021872963563318, -0.187169994068283, -0.2591938024484797, 0.08276640573259149, -0.2702949811263304, -0.14935697449101626, 0.10861442554251928, 0.09435483902129099, 0.04248525233522646, -0.05242237380068553, 0.060742064342392904, -0.12245667121360863, -0.17528683394132377, 0.3054797832829584, 0.011684340823098625, 0.333737795939669, 0.058191232279090115, 0.05585106060147824, 0.03143861365970224, 0.055928633860802573, 0.05789888100576048, -0.1749773135407419, 0.06773025976604242, 0.17782659512809723, -0.05390913973832013, 0.16748377058262887, -0.42826806898473907, -0.2190132082537993, 0.08108520995531428, 0.12058413080184867, 0.14636253652554987, -0.09388909478653468, -0.33348630802509815, 0.04972188417358618, -0.17253566603176296, -0.19291022971830038, -0.11260684141215231, -0.010425898964872192, -0.013775872158523845, -0.2827320003416389, 0.1214517357722415, 0.07442633164311319, 0.14634095226708604, -0.052954758266232124, -0.0447505386791339, -0.05443781039579526, 0.0535201049826451, 0.1443077973427104, 0.0687057385435573, 0.12576853953559244, -0.16817424553569013, -0.12706320116443462, 0.3648170574421161, -0.0887199723189329, -0.17014163461709886, 0.1293725756082782, -0.17077564365708417, -0.15446021457778683, 0.14593191481636544, 0.11076566574506853, 0.06934154201544036, -0.06266822835038367, 0.12596565208207866, -0.05715861993284259, 0.18877055929624476, -0.06571342699278734, -0.0032220623504958653, 0.21303004808233758, 0.13027077594673947, 0.055776562602994476, 0.14682397568953762, -0.05854797885005705, -0.14339933574420252, -0.3236532604419871, -0.1331142095946952, -0.19849314864136672, 0.09613959044738869, -0.09575601805140889, -0.1386052629872881, 0.42320402771675664, 0.16121272335907347, 0.22372495085246077, -0.021330932461607614, 0.216962965769007, 0.12942441588414735, 0.06562457051079132, 0.034857079512317125, 0.2223941042872244, 0.24968932483094058, 0.05063178266496643, -0.2831647248240188, -0.02403577159949284, 0.0849776737251025] |
712.3051 | Ultraviolet, Optical, and Infrared Constraints on Models of Stellar
Populations and Dust Attenuation | The color of galaxies is a fundamental property, easily measured, that
constrains models of galaxies and their evolution. Dust attenuation and star
formation history (SFH) are the dominant factors affecting the color of
galaxies. Here we explore the empirical relation between SFH, attenuation, and
color for a wide range of galaxies, including early types. These galaxies have
been observed by GALEX, SDSS, and Spitzer, allowing the construction of
measures of dust attenuation from the ratio of infrared (IR) to ultraviolet
(UV) flux and measures of SFH from the strength of the 4000A break. The
empirical relation between these three quantities is compared to models that
separately predict the effects of dust and SFH on color. This comparison
demonstrates the quantitative consistency of these simple models with the data
and hints at the power of multiwavelength data for constraining these models.
The UV color is a strong constraint; we find that a Milky Way extinction curve
is disfavored, and that the UV emission of galaxies with large 4000A break
strengths is likely to arise from evolved populations. We perform fits to the
relation between SFH, attenuation, and color. This relation links the
production of starlight and its absorption by dust to the subsequent reemission
of the absorbed light in the IR. Galaxy models that self-consistently treat
dust absorption and emission as well as stellar populations will need to
reproduce these fitted relations in the low-redshift universe.
| astro-ph | the color of galaxies is a fundamental property easily measured that constrains models of galaxies and their evolution dust attenuation and star formation history sfh are the dominant factors affecting the color of galaxies here we explore the empirical relation between sfh attenuation and color for a wide range of galaxies including early types these galaxies have been observed by galex sdss and spitzer allowing the construction of measures of dust attenuation from the ratio of infrared ir to ultraviolet uv flux and measures of sfh from the strength of the 4000a break the empirical relation between these three quantities is compared to models that separately predict the effects of dust and sfh on color this comparison demonstrates the quantitative consistency of these simple models with the data and hints at the power of multiwavelength data for constraining these models the uv color is a strong constraint we find that a milky way extinction curve is disfavored and that the uv emission of galaxies with large 4000a break strengths is likely to arise from evolved populations we perform fits to the relation between sfh attenuation and color this relation links the production of starlight and its absorption by dust to the subsequent reemission of the absorbed light in the ir galaxy models that selfconsistently treat dust absorption and emission as well as stellar populations will need to reproduce these fitted relations in the lowredshift universe | [['the', 'color', 'of', 'galaxies', 'is', 'a', 'fundamental', 'property', 'easily', 'measured', 'that', 'constrains', 'models', 'of', 'galaxies', 'and', 'their', 'evolution', 'dust', 'attenuation', 'and', 'star', 'formation', 'history', 'sfh', 'are', 'the', 'dominant', 'factors', 'affecting', 'the', 'color', 'of', 'galaxies', 'here', 'we', 'explore', 'the', 'empirical', 'relation', 'between', 'sfh', 'attenuation', 'and', 'color', 'for', 'a', 'wide', 'range', 'of', 'galaxies', 'including', 'early', 'types', 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712.3052 | Variable Low-Mass X-ray Binaries in Early-Type Galaxies | As the Chandra X-ray Observatory mission matures, increasing numbers of
nearby galaxies are being observed multiple times, sampling the variability of
extragalactic X-ray binaries on timescales extending from seconds to years. We
present results on luminous low-mass X-ray binaries from several early-type
galaxies. We show that instantaneous LMXB luminosity functions of early-type
galaxies do not significantly change between observations; a relatively low
fraction of sources are strongly variable on <~ 5 yr timescales. We discuss the
implications that a relatively small number of transient LMXBs are being
discovered in early-type galaxies.
| astro-ph | as the chandra xray observatory mission matures increasing numbers of nearby galaxies are being observed multiple times sampling the variability of extragalactic xray binaries on timescales extending from seconds to years we present results on luminous lowmass xray binaries from several earlytype galaxies we show that instantaneous lmxb luminosity functions of earlytype galaxies do not significantly change between observations a relatively low fraction of sources are strongly variable on 5 yr timescales we discuss the implications that a relatively small number of transient lmxbs are being discovered in earlytype galaxies | [['as', 'the', 'chandra', 'xray', 'observatory', 'mission', 'matures', 'increasing', 'numbers', 'of', 'nearby', 'galaxies', 'are', 'being', 'observed', 'multiple', 'times', 'sampling', 'the', 'variability', 'of', 'extragalactic', 'xray', 'binaries', 'on', 'timescales', 'extending', 'from', 'seconds', 'to', 'years', 'we', 'present', 'results', 'on', 'luminous', 'lowmass', 'xray', 'binaries', 'from', 'several', 'earlytype', 'galaxies', 'we', 'show', 'that', 'instantaneous', 'lmxb', 'luminosity', 'functions', 'of', 'earlytype', 'galaxies', 'do', 'not', 'significantly', 'change', 'between', 'observations', 'a', 'relatively', 'low', 'fraction', 'of', 'sources', 'are', 'strongly', 'variable', 'on', '5', 'yr', 'timescales', 'we', 'discuss', 'the', 'implications', 'that', 'a', 'relatively', 'small', 'number', 'of', 'transient', 'lmxbs', 'are', 'being', 'discovered', 'in', 'earlytype', 'galaxies']] | [-0.1225689878894223, 0.18962519907185602, -0.051814489087296856, 0.17503808170763982, -0.15315361709282216, -0.01317863090791636, 0.09243275185063896, 0.5054651653601063, -0.06596060908503003, -0.36709859172761855, 0.0608485858150137, -0.3520834867635535, -0.03990935686872237, 0.308917645731991, -0.04981260375223226, -0.04031476277547578, 0.12757167416210805, -0.1456546255801287, -0.0558827491166691, -0.36780685618933706, 0.26412292348427907, 0.04094960112642083, 0.09254919149292012, -0.13031249002863962, 0.07796241699769679, -0.09487122036257965, -0.08667983916303557, -0.05949445178525315, -0.10160561433763683, -0.021478522310240403, 0.3116465559436215, 0.1604823803373923, 0.24214975099700192, -0.3582021647779685, -0.21897560889936155, 0.09161058841273188, 0.20286997822889438, -0.04304840774792764, -0.06544201695748295, -0.26180454813357856, 0.08507974760399925, -0.21472187306111057, -0.13695599348801707, 0.06874025132791657, 0.07848779922868643, 0.11150005265759926, -0.1169051186233345, 0.17614225830054944, -0.006921405676338407, 0.11071322939306912, -0.1850576525605801, -0.0623492642512752, -0.017137938111813533, 0.0007244905094719596, 0.08044071635102025, 0.09093520019927787, 0.21629754991477562, -0.1405711262486875, -0.046808032960527476, 0.35730362510722546, -0.014873961866315868, 0.11677978328532643, 0.27173368537591563, -0.265316169631357, -0.26812167731113734, 0.12648529729081526, 0.1949190011351473, 0.16099696861993934, -0.1584401381926404, -0.02139522750415684, -0.011588568726761474, 0.3140603367834248, 0.03885470988849799, 0.15158348326416066, 0.3408977969756557, 0.09844437978204547, 0.022857913016600326, 0.11564711961222605, -0.2717248516804021, 0.004562982213166025, -0.1771603441751924, -0.020789241573462885, -0.12622641794344722, 0.1838367855669478, -0.13824318813470501, -0.0967749930497828, 0.33400757768605316, 0.07539983884327942, 0.22708224699729018, 0.11861287241335958, 0.29389105170137353, 0.07947680053249416, 0.12766680623818602, 0.11847766909955276, 0.31037916174779334, 0.14303332368274116, 0.08560325326268664, -0.19954228855979939, 0.08499350722801562, -0.05332169386092574] |
712.3053 | The Kinematics of Molecular Cloud Cores in the Presence of Driven and
Decaying Turbulence: Comparisons with Observations | In this study we investigate the formation and properties of prestellar and
protostellar cores using hydrodynamic, self-gravitating Adaptive Mesh
Refinement simulations, comparing the cases where turbulence is continually
driven and where it is allowed to decay. We model observations of these cores
in the C$^{18}$O$(2\to 1)$, NH$_3(1,1)$, and N$_2$H$^+(1\to 0)$ lines, and from
the simulated observations we measure the linewidths of individual cores, the
linewidths of the surrounding gas, and the motions of the cores relative to one
another. Some of these distributions are significantly different in the driven
and decaying runs, making them potential diagnostics for determining whether
the turbulence in observed star-forming clouds is driven or decaying. Comparing
our simulations with observed cores in the Perseus and $\rho$ Ophiuchus clouds
shows reasonably good agreement between the observed and simulated core-to-core
velocity dispersions for both the driven and decaying cases. However, we find
that the linewidths through protostellar cores in both simulations are too
large compared to the observations. The disagreement is noticably worse for the
decaying simulation, in which cores show highly supersonic infall signatures in
their centers that decrease toward their edges, a pattern not seen in the
observed regions. This result gives some support to the use of driven
turbulence for modeling regions of star formation, but reaching a firm
conclusion on the relative merits of driven or decaying turbulence will require
more complete data on a larger sample of clouds as well as simulations that
include magnetic fields, outflows, and thermal feedback from the protostars.
| astro-ph | in this study we investigate the formation and properties of prestellar and protostellar cores using hydrodynamic selfgravitating adaptive mesh refinement simulations comparing the cases where turbulence is continually driven and where it is allowed to decay we model observations of these cores in the c18o2to 1 nh_311 and n_2h1to 0 lines and from the simulated observations we measure the linewidths of individual cores the linewidths of the surrounding gas and the motions of the cores relative to one another some of these distributions are significantly different in the driven and decaying runs making them potential diagnostics for determining whether the turbulence in observed starforming clouds is driven or decaying comparing our simulations with observed cores in the perseus and rho ophiuchus clouds shows reasonably good agreement between the observed and simulated coretocore velocity dispersions for both the driven and decaying cases however we find that the linewidths through protostellar cores in both simulations are too large compared to the observations the disagreement is noticably worse for the decaying simulation in which cores show highly supersonic infall signatures in their centers that decrease toward their edges a pattern not seen in the observed regions this result gives some support to the use of driven turbulence for modeling regions of star formation but reaching a firm conclusion on the relative merits of driven or decaying turbulence will require more complete data on a larger sample of clouds as well as simulations that include magnetic fields outflows and thermal feedback from the protostars | [['in', 'this', 'study', 'we', 'investigate', 'the', 'formation', 'and', 'properties', 'of', 'prestellar', 'and', 'protostellar', 'cores', 'using', 'hydrodynamic', 'selfgravitating', 'adaptive', 'mesh', 'refinement', 'simulations', 'comparing', 'the', 'cases', 'where', 'turbulence', 'is', 'continually', 'driven', 'and', 'where', 'it', 'is', 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712.3054 | Bootes II ReBooted: An MMT/MegaCam Study of An Ultra-Faint Milky Way
Satellite | [abridged] We present MMT/Megacam imaging in Sloan $g$ and $r$ of the
extremely low luminosity Bo\"otes II Milky Way companion. We use a bootstrap
approach to perform robust measurements of, and uncertainties on, Bo\"otes II's
distance, luminosity, size, and morphology. We show that Bo\"otes II's stellar
population is old and metal-poor ([Fe/H] $\lta$ -2). Assuming a stellar
population like that of M92, Bo\"otes II is at a distance of 42 $\pm$ 2 kpc,
closer than the initial published estimate of 60 $\pm$ 10 kpc. This distance
revision, combined with a more robust measurement of Bo\"otes II's structure
with a Plummer model (exponential model) results in a more compact half-light
size of $r_h\simeq 36 (33) \pm 9 (10)$ pc and lower luminosity of
$M_V\simeq-2.4 (-2.2) \pm 0.7 (0.7)$ mag. This revised size and luminosity move
Bo\"otes II into a region of size-luminosity space not previously known to be
occupied by old stellar populations, but also occupied by the recently
discovered Milky Way satellites Willman 1 and SEGUE 1. We show that the
apparently distorted morphology of Bo\"otes II is not statistically significant
given the present data. We use a tidal argument to support a scenario where
Bo\"otes II is a dwarf galaxy (dark matter dominated) rather than a globular
cluster (not dark matter dominated). However, we can not rule out that Bo\"otes
II is a star cluster on the verge of disruption, such as Palomar 5.
| astro-ph | abridged we present mmtmegacam imaging in sloan g and r of the extremely low luminosity bootes ii milky way companion we use a bootstrap approach to perform robust measurements of and uncertainties on bootes iis distance luminosity size and morphology we show that bootes iis stellar population is old and metalpoor feh lta 2 assuming a stellar population like that of m92 bootes ii is at a distance of 42 pm 2 kpc closer than the initial published estimate of 60 pm 10 kpc this distance revision combined with a more robust measurement of bootes iis structure with a plummer model exponential model results in a more compact halflight size of r_hsimeq 36 33 pm 9 10 pc and lower luminosity of m_vsimeq24 22 pm 07 07 mag this revised size and luminosity move bootes ii into a region of sizeluminosity space not previously known to be occupied by old stellar populations but also occupied by the recently discovered milky way satellites willman 1 and segue 1 we show that the apparently distorted morphology of bootes ii is not statistically significant given the present data we use a tidal argument to support a scenario where bootes ii is a dwarf galaxy dark matter dominated rather than a globular cluster not dark matter dominated however we can not rule out that bootes ii is a star cluster on the verge of disruption such as palomar 5 | [['abridged', 'we', 'present', 'mmtmegacam', 'imaging', 'in', 'sloan', 'g', 'and', 'r', 'of', 'the', 'extremely', 'low', 'luminosity', 'bootes', 'ii', 'milky', 'way', 'companion', 'we', 'use', 'a', 'bootstrap', 'approach', 'to', 'perform', 'robust', 'measurements', 'of', 'and', 'uncertainties', 'on', 'bootes', 'iis', 'distance', 'luminosity', 'size', 'and', 'morphology', 'we', 'show', 'that', 'bootes', 'iis', 'stellar', 'population', 'is', 'old', 'and', 'metalpoor', 'feh', 'lta', '2', 'assuming', 'a', 'stellar', 'population', 'like', 'that', 'of', 'm92', 'bootes', 'ii', 'is', 'at', 'a', 'distance', 'of', '42', 'pm', '2', 'kpc', 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712.3055 | Landau-deGennes Theory of Biaxial Nematics Re-examined | Recent experiments report that the long looked for thermotropic biaxial
nematic phase has been finally detected in some thermotropic liquid crystalline
systems. Inspired by these experimental observations we concentrate on some
elementary theoretical issues concerned with the classical sixth-order
Landau-deGennes free energy expansion in terms of the symmetric and traceless
tensor order parameter $Q_{\alpha\beta}$. In particular, we fully explore the
stability of the biaxial nematic phase giving analytical solutions for all
distinct classes of the phase diagrams that theory allows. This includes
diagrams with triple- and (tri-)critical points and with multiple (reentrant)
biaxial- and uniaxial phase transitions. A brief comparison with predictions of
existing molecular theories is also given.
| cond-mat.soft cond-mat.stat-mech | recent experiments report that the long looked for thermotropic biaxial nematic phase has been finally detected in some thermotropic liquid crystalline systems inspired by these experimental observations we concentrate on some elementary theoretical issues concerned with the classical sixthorder landaudegennes free energy expansion in terms of the symmetric and traceless tensor order parameter q_alphabeta in particular we fully explore the stability of the biaxial nematic phase giving analytical solutions for all distinct classes of the phase diagrams that theory allows this includes diagrams with triple and tricritical points and with multiple reentrant biaxial and uniaxial phase transitions a brief comparison with predictions of existing molecular theories is also given | [['recent', 'experiments', 'report', 'that', 'the', 'long', 'looked', 'for', 'thermotropic', 'biaxial', 'nematic', 'phase', 'has', 'been', 'finally', 'detected', 'in', 'some', 'thermotropic', 'liquid', 'crystalline', 'systems', 'inspired', 'by', 'these', 'experimental', 'observations', 'we', 'concentrate', 'on', 'some', 'elementary', 'theoretical', 'issues', 'concerned', 'with', 'the', 'classical', 'sixthorder', 'landaudegennes', 'free', 'energy', 'expansion', 'in', 'terms', 'of', 'the', 'symmetric', 'and', 'traceless', 'tensor', 'order', 'parameter', 'q_alphabeta', 'in', 'particular', 'we', 'fully', 'explore', 'the', 'stability', 'of', 'the', 'biaxial', 'nematic', 'phase', 'giving', 'analytical', 'solutions', 'for', 'all', 'distinct', 'classes', 'of', 'the', 'phase', 'diagrams', 'that', 'theory', 'allows', 'this', 'includes', 'diagrams', 'with', 'triple', 'and', 'tricritical', 'points', 'and', 'with', 'multiple', 'reentrant', 'biaxial', 'and', 'uniaxial', 'phase', 'transitions', 'a', 'brief', 'comparison', 'with', 'predictions', 'of', 'existing', 'molecular', 'theories', 'is', 'also', 'given']] | [-0.2047076430646013, 0.19228443833654402, -0.06419744490456113, -0.01660986913851014, -0.0813639478335433, -0.13721870951337256, 0.021416874898864922, 0.38348002943934667, -0.20335101685917903, -0.26180695553517175, 0.08575856750098022, -0.2815563976960052, -0.18636127560091187, 0.10268341948243755, 0.02285196935473424, 0.08062569240832494, -0.01128749849481715, -0.019900202768406382, -0.15553623272097428, -0.21802678233426478, 0.3035456872484819, -0.02111030798577876, 0.2868116967017866, 0.05269644935874061, 0.05498135992739764, -0.004981940227918568, 0.00990180876666542, 0.04734436200966162, -0.2473416511812603, 0.04372730743381436, 0.2780016857734019, -0.019830407521954772, 0.15837643962112014, -0.4553073724835283, -0.2338314547582909, 0.0884470353916253, 0.12469779783687382, 0.12781986997342082, -0.07063332454116014, -0.3027276874485391, 0.05221482366539055, -0.19115615657614804, -0.16162667468759334, -0.15902166073512355, -0.02811490267480689, 0.051240169951698694, -0.1885382538161206, 0.11242501169827948, 0.05059125880641794, 0.10984603071550804, -0.09370535456508622, -0.13893792373386937, 0.00046702108078601733, 0.05231187559440042, 0.08118462356247215, 0.028999344187064305, 0.07146568236769074, -0.14245175533384705, -0.15683443552848916, 0.3864191225643649, -0.026558526939846127, -0.12907356989604454, 0.17629239906199035, -0.14838959823181438, -0.15546134034930556, 0.170886648034125, 0.09329362242499849, 0.09933849756123016, -0.0920489054369682, 0.07819116558595043, 0.006391923572799122, 0.17607219721927928, 0.032964681945654946, 0.010612608396008404, 0.2346222611614158, 0.16336432645847607, -0.029537767706507886, 0.19813127537188982, -0.058765895427549605, -0.16906567108903633, -0.32027438353085286, -0.1545795128180611, -0.11183279770948165, -0.026563982227041077, -0.12695214285513093, -0.1909682805546456, 0.3864107710757741, 0.10737892736290598, 0.15846179283646591, -0.005154377653660184, 0.2465817016997823, 0.04446944665094769, -0.00310710819731294, -0.01614877934291683, 0.28767235919292067, 0.14457817492722017, 0.10736398288928387, -0.20050024143765094, 0.032836808871555455, 0.07770018222638303] |
712.3056 | Gibbs Sampling for a Bayesian Hierarchical General Linear Model | We consider a Bayesian hierarchical version of the normal theory general
linear model which is practically relevant in the sense that it is general
enough to have many applications and it is not straightforward to sample
directly from the corresponding posterior distribution. Thus we study a block
Gibbs sampler that has the posterior as its invariant distribution. In
particular, we establish that the Gibbs sampler converges at a geometric rate.
This allows us to establish conditions for a central limit theorem for the
ergodic averages used to estimate features of the posterior. Geometric
ergodicity is also a key component for using batch means methods to
consistently estimate the variance of the asymptotic normal distribution.
Together, our results give practitioners the tools to be as confident in
inferences based on the observations from the Gibbs sampler as they would be
with inferences based on random samples from the posterior. Our theoretical
results are illustrated with an application to data on the cost of health plans
issued by health maintenance organizations.
| stat.CO math.ST stat.TH | we consider a bayesian hierarchical version of the normal theory general linear model which is practically relevant in the sense that it is general enough to have many applications and it is not straightforward to sample directly from the corresponding posterior distribution thus we study a block gibbs sampler that has the posterior as its invariant distribution in particular we establish that the gibbs sampler converges at a geometric rate this allows us to establish conditions for a central limit theorem for the ergodic averages used to estimate features of the posterior geometric ergodicity is also a key component for using batch means methods to consistently estimate the variance of the asymptotic normal distribution together our results give practitioners the tools to be as confident in inferences based on the observations from the gibbs sampler as they would be with inferences based on random samples from the posterior our theoretical results are illustrated with an application to data on the cost of health plans issued by health maintenance organizations | [['we', 'consider', 'a', 'bayesian', 'hierarchical', 'version', 'of', 'the', 'normal', 'theory', 'general', 'linear', 'model', 'which', 'is', 'practically', 'relevant', 'in', 'the', 'sense', 'that', 'it', 'is', 'general', 'enough', 'to', 'have', 'many', 'applications', 'and', 'it', 'is', 'not', 'straightforward', 'to', 'sample', 'directly', 'from', 'the', 'corresponding', 'posterior', 'distribution', 'thus', 'we', 'study', 'a', 'block', 'gibbs', 'sampler', 'that', 'has', 'the', 'posterior', 'as', 'its', 'invariant', 'distribution', 'in', 'particular', 'we', 'establish', 'that', 'the', 'gibbs', 'sampler', 'converges', 'at', 'a', 'geometric', 'rate', 'this', 'allows', 'us', 'to', 'establish', 'conditions', 'for', 'a', 'central', 'limit', 'theorem', 'for', 'the', 'ergodic', 'averages', 'used', 'to', 'estimate', 'features', 'of', 'the', 'posterior', 'geometric', 'ergodicity', 'is', 'also', 'a', 'key', 'component', 'for', 'using', 'batch', 'means', 'methods', 'to', 'consistently', 'estimate', 'the', 'variance', 'of', 'the', 'asymptotic', 'normal', 'distribution', 'together', 'our', 'results', 'give', 'practitioners', 'the', 'tools', 'to', 'be', 'as', 'confident', 'in', 'inferences', 'based', 'on', 'the', 'observations', 'from', 'the', 'gibbs', 'sampler', 'as', 'they', 'would', 'be', 'with', 'inferences', 'based', 'on', 'random', 'samples', 'from', 'the', 'posterior', 'our', 'theoretical', 'results', 'are', 'illustrated', 'with', 'an', 'application', 'to', 'data', 'on', 'the', 'cost', 'of', 'health', 'plans', 'issued', 'by', 'health', 'maintenance', 'organizations']] | [0.01098905196575277, 0.06991797365110779, -0.1775495504723454, 0.11955502615434245, -0.08887429440465684, -0.10203371723265162, 0.09003452407113502, 0.3877149478218259, -0.2716436943910002, -0.28629901221562065, 0.1512265586102734, -0.24922042709409145, -0.10305673746528522, 0.22064764621204658, -0.11848175655995336, 0.07594332308336244, 0.09476172043142851, 0.051978176545087226, -0.048434451132525064, -0.2515623633206971, 0.2756973802216748, 0.09125293694166521, 0.32854613975467456, -0.013096034094228371, 0.10621471941462833, 0.018996121885376218, -0.007950238200158057, -0.010742913295112594, -0.16575544642916704, 0.14606225917104787, 0.27622406296128926, 0.1739116242656914, 0.31067833247644133, -0.3704999559088359, -0.1925189489713655, 0.12378380379843465, 0.1192450784367217, 0.12390415074741853, -0.026356720217481564, -0.2831584828376726, 0.0956559470653556, -0.157945168864522, -0.1384341921299123, -0.14670937637434778, -0.0570571385076016, 0.03755804387778154, -0.3260400339426506, 0.08469480453124517, 0.0770946139106031, 0.03682966772797545, -0.02639566010557192, -0.11088151609133819, -0.01189549593530463, 0.13801688757606578, 0.08582071757037743, 0.014163242618569874, 0.1372816942107985, -0.09081703696548718, -0.100043020787726, 0.33985116353710376, -0.05226225633526871, -0.2271637307623258, 0.17495235998580266, -0.10402612156956595, -0.1847925128500644, 0.09980247543639774, 0.16960044484034445, 0.10794125739264594, -0.19100575447743814, 0.07865416841029008, -0.052797377269340334, 0.12442494623539363, -0.011086947780609483, -0.012162385976145915, 0.1785640535041271, 0.13816218805559993, 0.12367860894180427, 0.13423434971313725, -0.09735742810777438, -0.1356014064802463, -0.2893423820300215, -0.16415745695534895, -0.22913959913765847, 0.04748447121855646, -0.1300169863983866, -0.192017891919571, 0.3629665910293894, 0.21929438421833355, 0.1961889730755394, 0.12439188551634396, 0.2799357652675206, 0.11963853084815655, 0.038517707879599954, 0.08927535564919724, 0.1609464077163245, 0.14963511956067613, 0.053993629197970294, -0.1380760461524592, 0.14203479144854483, 0.033149144278850254] |
712.3057 | Top Compositeness at the Tevatron and LHC | We explore the possibility that the right-handed top quark is composite. We
examine the consequences that compositeness would have on $t \bar{t}$
production at the Tevatron, and derive a weak constraint on the scale of
compositeness of order a few hundred GeV from the $t \bar{t}$ inclusive cross
section. More detailed studies of differential properties of $t \bar{t}$
production could potentially improve this limit. We find that a composite top
can result in an enhancement of the $t \bar{t} t \bar{t}$ production rate at
the LHC (of as much as $10^3$ compared to the Standatd Model four top rate). We
explore observables which allow us to extract the four top rate from the
backgrounds, and show that the LHC can either discover or constrain top
compositeness for wide ranges of parameter space.
| hep-ph | we explore the possibility that the righthanded top quark is composite we examine the consequences that compositeness would have on t bart production at the tevatron and derive a weak constraint on the scale of compositeness of order a few hundred gev from the t bart inclusive cross section more detailed studies of differential properties of t bart production could potentially improve this limit we find that a composite top can result in an enhancement of the t bart t bart production rate at the lhc of as much as 103 compared to the standatd model four top rate we explore observables which allow us to extract the four top rate from the backgrounds and show that the lhc can either discover or constrain top compositeness for wide ranges of parameter space | [['we', 'explore', 'the', 'possibility', 'that', 'the', 'righthanded', 'top', 'quark', 'is', 'composite', 'we', 'examine', 'the', 'consequences', 'that', 'compositeness', 'would', 'have', 'on', 't', 'bart', 'production', 'at', 'the', 'tevatron', 'and', 'derive', 'a', 'weak', 'constraint', 'on', 'the', 'scale', 'of', 'compositeness', 'of', 'order', 'a', 'few', 'hundred', 'gev', 'from', 'the', 't', 'bart', 'inclusive', 'cross', 'section', 'more', 'detailed', 'studies', 'of', 'differential', 'properties', 'of', 't', 'bart', 'production', 'could', 'potentially', 'improve', 'this', 'limit', 'we', 'find', 'that', 'a', 'composite', 'top', 'can', 'result', 'in', 'an', 'enhancement', 'of', 'the', 't', 'bart', 't', 'bart', 'production', 'rate', 'at', 'the', 'lhc', 'of', 'as', 'much', 'as', '103', 'compared', 'to', 'the', 'standatd', 'model', 'four', 'top', 'rate', 'we', 'explore', 'observables', 'which', 'allow', 'us', 'to', 'extract', 'the', 'four', 'top', 'rate', 'from', 'the', 'backgrounds', 'and', 'show', 'that', 'the', 'lhc', 'can', 'either', 'discover', 'or', 'constrain', 'top', 'compositeness', 'for', 'wide', 'ranges', 'of', 'parameter', 'space']] | [-0.057637679121343294, 0.19388400285270593, -0.0755494243806612, 0.13070537312709876, -0.07741529833639169, -0.13186592928432497, 0.05983902735792043, 0.28694443792133156, -0.2629847066274325, -0.3255161284788988, 0.04384538834427576, -0.3127349555023185, 0.013642958681746066, 0.18665088863709217, 0.07150798194636485, 0.061069015765434685, 0.07257686535746058, 0.04362779224241679, -0.06830258042558686, -0.25361156643489163, 0.3003225876302778, 0.049417913031145816, 0.1946246413343394, 0.1499768693467961, 0.05900994863872992, 0.01735249092048816, -0.05210418340915331, -0.06403812766452817, -0.15064518003771615, 0.054736164665091354, 0.17585567800987525, 0.10680042840682595, 0.15788048215722308, -0.32812641220138844, -0.1512886744173855, 0.12958128901753035, 0.12413847097017952, 0.07577238984331347, -0.013985000984971624, -0.22689706648749705, 0.15899095397317278, -0.24961499092417933, -0.07069395858623827, -0.0774507408904779, 0.0033699609943530487, -0.08149082069320761, -0.3375271181256034, 0.044276706390935956, -0.01715811660499063, 0.019732956516819486, 0.05707355895975448, -0.1964935031150759, -0.08847516690530167, 0.03487739333605664, 0.09825248317170945, 0.034246346855514774, 0.19984180331301257, -0.19413692630535945, -0.16461163183375624, 0.33500652155973987, -0.17725429081674382, -0.16767598947382156, 0.23599442234973758, -0.2174956065652366, -0.15340092479791634, 0.09802586616208876, 0.2882463053572667, 0.1405158989186548, -0.19563810683019062, 0.12891560541874666, -0.018782046819923317, 0.18077937868523292, 0.08477353466006408, 0.04744695904238135, 0.2133161236908827, 0.22587515694935245, 0.053791756274263934, 0.0864871485969265, -0.14731964444784262, -0.0555427401888234, -0.3978690533180728, -0.15078705802332354, -0.017178501038037183, 0.07369614366214466, -0.06447759049901035, -0.08241875021441178, 0.38257457211770063, 0.17621819208596498, 0.33794440138544746, 0.04485528380165715, 0.24654676457369373, 0.10191496423417205, 0.10834976114361113, 0.038392222518428366, 0.3041688446595355, 0.12573656582678774, 0.12775349034750053, -0.18913173328601676, 0.08011823201921718, 0.021833985681354088] |
712.3058 | Chiral d-wave superconductivity in the heavy-fermion compound CeIrIn_5 | Recent thermal conductivity measurements in the heavy-fermion compound
CeIrIn_5 indicate that its superconducting order parameter is very different
from CeCoIn_5. Here we show that these experiments are consistent with chiral
d-wave symmetry.
| cond-mat.supr-con | recent thermal conductivity measurements in the heavyfermion compound ceirin_5 indicate that its superconducting order parameter is very different from cecoin_5 here we show that these experiments are consistent with chiral dwave symmetry | [['recent', 'thermal', 'conductivity', 'measurements', 'in', 'the', 'heavyfermion', 'compound', 'ceirin_5', 'indicate', 'that', 'its', 'superconducting', 'order', 'parameter', 'is', 'very', 'different', 'from', 'cecoin_5', 'here', 'we', 'show', 'that', 'these', 'experiments', 'are', 'consistent', 'with', 'chiral', 'dwave', 'symmetry']] | [-0.18487727137107868, 0.30351811394211836, -0.07469251105794683, -0.06368346103045042, -0.11286468163598329, -0.15866169666696806, 0.0714304928551428, 0.40694510223693214, -0.20155225921189412, -0.233022918459028, -0.009265225966373691, -0.42717397410888225, -0.15830963384360075, 0.20084381056949496, 0.07129652563889977, 0.10842797739132948, -0.015609038731781766, 0.0027064214227721095, -0.16912044964556117, -0.23030437872512266, 0.33937087189406157, -0.0232281603384763, 0.3625965014434769, 0.09893508844834287, -0.04504609224386513, -0.12457184160302859, 0.157107471866766, 0.046612861537141725, -0.13919025262521245, -0.024762846398516558, 0.32180879889347125, -0.14630170539021492, 0.07559932567528449, -0.4385463403305039, -0.2586793771479279, -0.008149045839672908, 0.09121815768594388, 0.13882423168979585, -0.11927835352253169, -0.2901937676942907, 0.09433710390294436, -0.16806146933231503, -0.08290515298722312, -0.20644026948139071, -0.10659252683399245, -0.0702833902760176, -0.2580185199039988, 0.17297277616307838, 0.03443980465817731, 0.10189284119405784, -0.09798099498220836, -0.20791545615065843, -0.04933397514105309, -0.06495812948560342, 0.11514133158925688, 0.056582448436529376, 0.12245924691160326, -0.09995108234579675, -0.14163331713643856, 0.33045699552167207, -0.0331368995430239, 0.006119320372818038, 0.15427175900549628, -0.2243553671578411, -0.17808518605306745, 0.09187124908203259, 0.03733254023245536, 0.04253307418548502, -0.1157434931374155, 0.05872179561993107, -0.12596554512856528, 0.1983793909785163, -0.033328332523524296, 0.10996033511764836, 0.21595374151365831, 0.225495059217792, -0.0298284035816323, 0.10400928594754077, -0.12849113000265788, -0.06558327202219516, -0.27273874438833445, -0.1455111844406929, -0.2544075819896534, 0.02320121904631378, -0.07383165552164428, -0.11857476881414186, 0.3456775057129562, 0.271329029899789, 0.24947686668019742, -0.10124537911906373, 0.23992473573889583, 0.07872678100466146, 0.08940266007266473, 0.037134721511392854, 0.2822260146276676, 0.15077927152742632, 0.10252924915403128, -0.37647794292570325, 0.10750296782134683, -0.05029147773166187] |
712.3059 | A note on the universality of the Hagedorn behavior of pp-wave strings | Following on from recent studies of string theory on a one-parameter family
of integrable deformations of $AdS_{5}\times S^{5}$ proposed by Lunin and
Maldacena, we carry out a systematic analysis of the high temperature
properties of type IIB strings on the associated pp-wave geometries. In
particular, through the computation of the thermal partition function and free
energy we find that not only does the theory exhibit a Hagedorn transition in
both the $(J,0,0)$ and $(J,J,J)$ class of pp-waves, but that the Hagedorn
temperature is insensitive to the deformation suggesting an interesting
universality in the high temperature behaviour of the pp-wave string theory. We
comment also on the implications of this universality on the
confinement/deconfinement transition in the dual $\mathcal{N}=1$
Leigh-Strassler deformation of ${\cal N}=4$ Yang-Mills theory.
| hep-th | following on from recent studies of string theory on a oneparameter family of integrable deformations of ads_5times s5 proposed by lunin and maldacena we carry out a systematic analysis of the high temperature properties of type iib strings on the associated ppwave geometries in particular through the computation of the thermal partition function and free energy we find that not only does the theory exhibit a hagedorn transition in both the j00 and jjj class of ppwaves but that the hagedorn temperature is insensitive to the deformation suggesting an interesting universality in the high temperature behaviour of the ppwave string theory we comment also on the implications of this universality on the confinementdeconfinement transition in the dual mathcaln1 leighstrassler deformation of cal n4 yangmills theory | [['following', 'on', 'from', 'recent', 'studies', 'of', 'string', 'theory', 'on', 'a', 'oneparameter', 'family', 'of', 'integrable', 'deformations', 'of', 'ads_5times', 's5', 'proposed', 'by', 'lunin', 'and', 'maldacena', 'we', 'carry', 'out', 'a', 'systematic', 'analysis', 'of', 'the', 'high', 'temperature', 'properties', 'of', 'type', 'iib', 'strings', 'on', 'the', 'associated', 'ppwave', 'geometries', 'in', 'particular', 'through', 'the', 'computation', 'of', 'the', 'thermal', 'partition', 'function', 'and', 'free', 'energy', 'we', 'find', 'that', 'not', 'only', 'does', 'the', 'theory', 'exhibit', 'a', 'hagedorn', 'transition', 'in', 'both', 'the', 'j00', 'and', 'jjj', 'class', 'of', 'ppwaves', 'but', 'that', 'the', 'hagedorn', 'temperature', 'is', 'insensitive', 'to', 'the', 'deformation', 'suggesting', 'an', 'interesting', 'universality', 'in', 'the', 'high', 'temperature', 'behaviour', 'of', 'the', 'ppwave', 'string', 'theory', 'we', 'comment', 'also', 'on', 'the', 'implications', 'of', 'this', 'universality', 'on', 'the', 'confinementdeconfinement', 'transition', 'in', 'the', 'dual', 'mathcaln1', 'leighstrassler', 'deformation', 'of', 'cal', 'n4', 'yangmills', 'theory']] | [-0.12060357992351055, 0.16443683552660512, -0.08525484153814614, 0.08495297452062368, -0.055505536638200285, -0.1075832906998694, 0.02703011141344905, 0.30784781992435456, -0.146222990706563, -0.21083145210891963, 0.09031408678926528, -0.29120251959562304, -0.19567455089092253, 0.13010540824756026, -0.0664451320131775, 0.0438554340749979, -0.026112318985164164, 0.06306312297005207, -0.17045821686089038, -0.21555230619758367, 0.32766802854835986, 0.053603871265426276, 0.3415636226311326, 0.09122419529035687, 0.07926421081088483, -0.007305477596819401, 0.015764865029603243, 0.03404738170653582, -0.17869236100121635, 0.07606121699698269, 0.20336158729344606, 0.09276299797371029, 0.10791102425381541, -0.4250346594005823, -0.2448280086517334, 0.08901437439024448, 0.15222649305313826, 0.13674641384929417, -0.01991818238887936, -0.24401405122876169, 0.04313315377756953, -0.18120884375274182, -0.16316020882688462, -0.07144948606542312, 0.052818720364943145, -0.050236661294475196, -0.17947742117196322, 0.08697236364125274, 0.04948148507531732, 0.030618630044162272, -0.06016584289632738, -0.06666389312129467, -0.08325822650641203, 0.026647929193452, 0.12392367870919406, 0.06205593330040574, 0.11826155645027757, -0.1786763792913407, -0.1160169414356351, 0.32129613221576436, -0.057595512080937626, -0.16198891884088515, 0.16464684601314367, -0.17073794782254845, -0.23988672345504164, 0.12558572847023605, 0.11421880663372576, 0.16979404442384838, -0.08737356805801391, 0.22904879286373034, -0.024749992854893207, 0.12895519779250025, 0.07896132939308882, 0.04027782575786114, 0.26318881182745096, 0.11625022021401674, -0.0034219688959419726, 0.1774573141001165, -0.01273814624035731, -0.1343538644425571, -0.4228326300680637, -0.10212053215131163, -0.1347147903740406, 0.1340245918809669, -0.1439345980003709, -0.24305415512621403, 0.3759278460331261, 0.12918345704674722, 0.18133484891802074, 0.04826243694871664, 0.12945270709693432, 0.08239897543936968, 0.0433389439471066, 0.048617406141012905, 0.26903573065251113, 0.17624947629868984, 0.09808505762368441, -0.29635203258972614, -0.11109664450865239, 0.17337935507297517] |
712.306 | Almost all integer matrices have no integer eigenvalues | For a fixed $n\ge2$, consider an $n\times n$ matrix $M$ whose entries are
random integers bounded by $k$ in absolute value. In this paper, we examine the
probability that $M$ is singular (hence has eigenvalue 0), and the probability
that $M$ has at least one rational eigenvalue. We show that both of these
probabilities tend to 0 as $k$ increases. More precisely, we establish an upper
bound of size $k^{-2+\epsilon}$ for the probability that $M$ is singular, and
size $k^{-1+\epsilon}$ for the probability that $M$ has a rational eigenvalue.
These results generalize earlier work by Kowalsky for the case $n=2$ and answer
a question posed by Hetzel, Liew, and Morrison.
| math.NT | for a fixed nge2 consider an ntimes n matrix m whose entries are random integers bounded by k in absolute value in this paper we examine the probability that m is singular hence has eigenvalue 0 and the probability that m has at least one rational eigenvalue we show that both of these probabilities tend to 0 as k increases more precisely we establish an upper bound of size k2epsilon for the probability that m is singular and size k1epsilon for the probability that m has a rational eigenvalue these results generalize earlier work by kowalsky for the case n2 and answer a question posed by hetzel liew and morrison | [['for', 'a', 'fixed', 'nge2', 'consider', 'an', 'ntimes', 'n', 'matrix', 'm', 'whose', 'entries', 'are', 'random', 'integers', 'bounded', 'by', 'k', 'in', 'absolute', 'value', 'in', 'this', 'paper', 'we', 'examine', 'the', 'probability', 'that', 'm', 'is', 'singular', 'hence', 'has', 'eigenvalue', '0', 'and', 'the', 'probability', 'that', 'm', 'has', 'at', 'least', 'one', 'rational', 'eigenvalue', 'we', 'show', 'that', 'both', 'of', 'these', 'probabilities', 'tend', 'to', '0', 'as', 'k', 'increases', 'more', 'precisely', 'we', 'establish', 'an', 'upper', 'bound', 'of', 'size', 'k2epsilon', 'for', 'the', 'probability', 'that', 'm', 'is', 'singular', 'and', 'size', 'k1epsilon', 'for', 'the', 'probability', 'that', 'm', 'has', 'a', 'rational', 'eigenvalue', 'these', 'results', 'generalize', 'earlier', 'work', 'by', 'kowalsky', 'for', 'the', 'case', 'n2', 'and', 'answer', 'a', 'question', 'posed', 'by', 'hetzel', 'liew', 'and', 'morrison']] | [-0.159150681694478, 0.1402433280020853, -0.02586055328828041, 0.01780765782287172, -0.01826404721726215, -0.18036385219009524, 0.055958539383330695, 0.329431883999388, -0.21109922145303614, -0.2679268059803656, 0.10021804770911802, -0.3196153789758682, -0.16149004822364077, 0.1317062221911598, -0.07397683527907012, 0.06169005931156722, 0.026847939916748415, 0.1228470576375171, -0.046574930912659816, -0.2892530759542111, 0.36406116554496326, -0.004861376157754825, 0.14914096205460806, 0.04558195744391048, 0.06756322956600881, -0.014597412203093645, 0.015647488077067666, 0.016821739143105568, -0.1884797042515587, 0.08082473699512237, 0.2928894524962676, 0.11463833467482969, 0.3113771471608844, -0.3487789741613799, -0.14813269455744713, 0.19281268557231804, 0.16141098631218215, 0.006865563942550647, 0.0024920352965030665, -0.22405442014483182, 0.1878604947533286, -0.10070348981362595, -0.18973179384462396, -0.020669239816790516, 0.13436188817852074, -0.018323247195911354, -0.326079320628196, 0.019387149519321543, 0.14155974137355332, 0.013975387453953133, -0.014597554747187705, -0.22921492617266873, 0.017130865926716338, 0.0927690413383836, 0.009304866691974422, 0.04486482093731562, 0.03061559927516134, -0.07447535205520345, -0.08638195289919774, 0.2927354735158453, -0.09027467685303202, -0.21155784135960318, 0.09621599901260601, -0.1690544994177159, -0.1291997175013185, 0.11088378659311544, 0.11776414604995537, 0.15249920410483522, -0.041705616629096096, 0.2001763128533235, -0.16550943909074972, 0.15306977869045954, 0.12776532783431727, -0.03497871513806145, 0.12954488002557168, 0.05880547336440672, 0.16498078264865196, 0.09249863285717934, -0.04307302827860608, -0.02141717002140703, -0.27255604276433587, -0.17103940412171478, -0.250108922297066, 0.16173440033431957, -0.10717538729497594, -0.11980542285298859, 0.30548247212061175, 0.1185413232004201, 0.26760878282840606, 0.1763635316811916, 0.2220911654660961, 0.1525375593649827, -0.05503716619892253, 0.10316314161927612, 0.11584289862636339, 0.1408372866744348, 0.02281683563530721, -0.18310615852371687, 0.04929029417258722, 0.12263113580667306] |
712.3061 | Manifestation of geometric frustration on magnetic and thermodynamic
properties of pyrochlores $Sm_2X_2O_7$ (X=Ti, Zr) | We present here magnetization, specific heat and Raman studies on
single-crystalline specimens of the first pyrochlore member $Sm_2Ti_2O_7$ of
the rare-earth titanate series. Its analogous compound $Sm_2Zr_2O_7$ in the
rare-earth zirconate series is also investigated in the polycrystalline form.
The Sm spins in $Sm_2Ti_2O_7$ remain unordered down to at least T = 0.5 K. The
absence of magnetic ordering is attributed to very small values of exchange
($\theta_{cw} ~ -0.26 K$) and dipolar interaction ($\mu_{eff} ~ 0.15 \mu_B$)
between the $Sm^{3+}$ spins in this pyrochlore. In contrast, the pyrochlore
$Sm_2Zr_2O_7$ is characterized by a relatively large value of Sm-Sm spin
exchange ($\theta_{cw} ~ - 10 K$); however, long-range ordering of the
$Sm^{3+}$ spins is not established at least down to T = 0.67 K, due to
frustration of the $Sm^{3+}$ spins on the pyrochlore lattice. The ground state
of $Sm^{3+}$ ions in both pyrochlores is a well-isolated Kramer's doublet. The
higher-lying crystal field excitations are observed in the low-frequency region
of the Raman spectra of the two compounds recorded at T = 10 K. At higher
temperatures, the magnetic susceptibility of $Sm_2Ti_2O_7$ shows a broad
maximum at T = 140 K while that of $Sm_2Zr_2O_7$ changes monotonically. Whereas
$Sm_2Ti_2O_7$ is a promising candidate for investigating spin-fluctuations on a
frustrated lattice as indicated by our data, the properties of $Sm_2Zr_2O_7$
seem to conform to a conventional scenario where geometrical frustration of the
spin exclude their long-range ordering.
| cond-mat.mtrl-sci | we present here magnetization specific heat and raman studies on singlecrystalline specimens of the first pyrochlore member sm_2ti_2o_7 of the rareearth titanate series its analogous compound sm_2zr_2o_7 in the rareearth zirconate series is also investigated in the polycrystalline form the sm spins in sm_2ti_2o_7 remain unordered down to at least t 05 k the absence of magnetic ordering is attributed to very small values of exchange theta_cw 026 k and dipolar interaction mu_eff 015 mu_b between the sm3 spins in this pyrochlore in contrast the pyrochlore sm_2zr_2o_7 is characterized by a relatively large value of smsm spin exchange theta_cw 10 k however longrange ordering of the sm3 spins is not established at least down to t 067 k due to frustration of the sm3 spins on the pyrochlore lattice the ground state of sm3 ions in both pyrochlores is a wellisolated kramers doublet the higherlying crystal field excitations are observed in the lowfrequency region of the raman spectra of the two compounds recorded at t 10 k at higher temperatures the magnetic susceptibility of sm_2ti_2o_7 shows a broad maximum at t 140 k while that of sm_2zr_2o_7 changes monotonically whereas sm_2ti_2o_7 is a promising candidate for investigating spinfluctuations on a frustrated lattice as indicated by our data the properties of sm_2zr_2o_7 seem to conform to a conventional scenario where geometrical frustration of the spin exclude their longrange ordering | [['we', 'present', 'here', 'magnetization', 'specific', 'heat', 'and', 'raman', 'studies', 'on', 'singlecrystalline', 'specimens', 'of', 'the', 'first', 'pyrochlore', 'member', 'sm_2ti_2o_7', 'of', 'the', 'rareearth', 'titanate', 'series', 'its', 'analogous', 'compound', 'sm_2zr_2o_7', 'in', 'the', 'rareearth', 'zirconate', 'series', 'is', 'also', 'investigated', 'in', 'the', 'polycrystalline', 'form', 'the', 'sm', 'spins', 'in', 'sm_2ti_2o_7', 'remain', 'unordered', 'down', 'to', 'at', 'least', 't', '05', 'k', 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712.3062 | Cosmic acceleration from second order gauge gravity | We construct a phenomenological theory of gravitation based on a second order
gauge formulation for the Lorentz group. The model presents a long-range
modification for the gravitational field leading to a cosmological model
provided with an accelerated expansion at recent times. We estimate the model
parameters using observational data and verify that our estimative for the age
of the Universe is of the same magnitude than the one predicted by the standard
model. The transition from the decelerated expansion regime to the accelerated
one occurs recently (at $\sim9.3\;Gyr$).
| gr-qc astro-ph hep-th | we construct a phenomenological theory of gravitation based on a second order gauge formulation for the lorentz group the model presents a longrange modification for the gravitational field leading to a cosmological model provided with an accelerated expansion at recent times we estimate the model parameters using observational data and verify that our estimative for the age of the universe is of the same magnitude than the one predicted by the standard model the transition from the decelerated expansion regime to the accelerated one occurs recently at sim93gyr | [['we', 'construct', 'a', 'phenomenological', 'theory', 'of', 'gravitation', 'based', 'on', 'a', 'second', 'order', 'gauge', 'formulation', 'for', 'the', 'lorentz', 'group', 'the', 'model', 'presents', 'a', 'longrange', 'modification', 'for', 'the', 'gravitational', 'field', 'leading', 'to', 'a', 'cosmological', 'model', 'provided', 'with', 'an', 'accelerated', 'expansion', 'at', 'recent', 'times', 'we', 'estimate', 'the', 'model', 'parameters', 'using', 'observational', 'data', 'and', 'verify', 'that', 'our', 'estimative', 'for', 'the', 'age', 'of', 'the', 'universe', 'is', 'of', 'the', 'same', 'magnitude', 'than', 'the', 'one', 'predicted', 'by', 'the', 'standard', 'model', 'the', 'transition', 'from', 'the', 'decelerated', 'expansion', 'regime', 'to', 'the', 'accelerated', 'one', 'occurs', 'recently', 'at', 'sim93gyr']] | [-0.07572974540271807, 0.10388481430324656, -0.12389535151807399, 0.0569666882818993, -0.05965083900667813, -0.08060078571240108, 0.007416842669922987, 0.3036455997940281, -0.2284856609593349, -0.3046081118585392, 0.06547569770408773, -0.26797968722965526, -0.08209297346585462, 0.18241239856157837, 0.03256005715664433, -0.010453691764938077, -0.00519497295970033, 0.08308798877586579, -0.08104573041147113, -0.23044894537727895, 0.2943147033206776, 0.10238574274505179, 0.2414026630877774, -0.0074544145234582155, 0.1381888810943962, -0.04151754217200923, -0.01653024005093451, 0.010798716703536868, -0.1522929603746596, 0.114768181263801, 0.11378514455984635, 0.07413417284494672, 0.25942923946455976, -0.43012481073624104, -0.25764830081841383, 0.07824809360853129, 0.10229564241358433, 0.16719543832172265, -0.07679649037389277, -0.2885939979754474, 0.05050579181219312, -0.21597680987940096, -0.1623081306715485, -0.034580085233881556, -0.004327638217933133, -0.06032692223530391, -0.31458325296554757, 0.1260030715587153, -0.014883697707334468, 0.0041896528136199235, -0.07092737539232462, -0.05393735432847478, 0.045798518815366875, 0.06504905274694507, 0.10683903388475635, 0.09749066983296097, 0.10030037368080397, -0.14132374213558846, -0.11861992953880422, 0.4237710485427544, -0.1257702765563816, -0.10573985734178375, 0.16144436136712373, -0.16780421373851853, -0.12684624689770327, 0.1078525710551218, 0.13801332777258993, 0.09681120348877498, -0.12662567092833676, 0.08698084835838206, 0.014715542899037915, 0.15841509590203734, 0.022980321102358144, -0.04071928174288451, 0.20609023774192595, 0.17493370294185548, 0.0013384264733256965, 0.08622155270014686, -0.06627211183320929, -0.10765434783380265, -0.35234494166898317, -0.12265391335233874, -0.17924041707796612, 0.018372560792399205, -0.1546279234360387, -0.13402776899694027, 0.42172014479921466, 0.20166777538927808, 0.1953750209529595, 0.06419325014041073, 0.3003559061914854, 0.12654453564445947, 0.07719861110137112, 0.08347052627446494, 0.3102627900354136, 0.11348251070581034, 0.07842291281933243, -0.21229709950095074, 0.05075847130702359, 0.1290305839294846] |
712.3063 | A method to search for strong galaxy-galaxy lenses in optical imaging
surveys | We present a semi-automated method to search for strong galaxy-galaxy lenses
in optical imaging surveys. Our search technique constrains the shape of
strongly lensed galaxies (or arcs) in a multi-parameter space, which includes
the third order (octopole) moments of objects. This method is applied to the
Deep Lens Survey (DLS), a deep ground based weak lensing survey imaging to
$R\sim26$. The parameter space of arcs in the DLS is simulated using real
galaxies extracted from deep HST fields in order to more accurately reproduce
the properties of arcs. Arcs are detected in the DLS using a pixel thresholding
method and candidate arcs are selected within this multi-parameter space.
Examples of strong galaxy-galaxy lens candidates discovered in the DLS F2 field
(4 square degrees) are presented.
| astro-ph | we present a semiautomated method to search for strong galaxygalaxy lenses in optical imaging surveys our search technique constrains the shape of strongly lensed galaxies or arcs in a multiparameter space which includes the third order octopole moments of objects this method is applied to the deep lens survey dls a deep ground based weak lensing survey imaging to rsim26 the parameter space of arcs in the dls is simulated using real galaxies extracted from deep hst fields in order to more accurately reproduce the properties of arcs arcs are detected in the dls using a pixel thresholding method and candidate arcs are selected within this multiparameter space examples of strong galaxygalaxy lens candidates discovered in the dls f2 field 4 square degrees are presented | [['we', 'present', 'a', 'semiautomated', 'method', 'to', 'search', 'for', 'strong', 'galaxygalaxy', 'lenses', 'in', 'optical', 'imaging', 'surveys', 'our', 'search', 'technique', 'constrains', 'the', 'shape', 'of', 'strongly', 'lensed', 'galaxies', 'or', 'arcs', 'in', 'a', 'multiparameter', 'space', 'which', 'includes', 'the', 'third', 'order', 'octopole', 'moments', 'of', 'objects', 'this', 'method', 'is', 'applied', 'to', 'the', 'deep', 'lens', 'survey', 'dls', 'a', 'deep', 'ground', 'based', 'weak', 'lensing', 'survey', 'imaging', 'to', 'rsim26', 'the', 'parameter', 'space', 'of', 'arcs', 'in', 'the', 'dls', 'is', 'simulated', 'using', 'real', 'galaxies', 'extracted', 'from', 'deep', 'hst', 'fields', 'in', 'order', 'to', 'more', 'accurately', 'reproduce', 'the', 'properties', 'of', 'arcs', 'arcs', 'are', 'detected', 'in', 'the', 'dls', 'using', 'a', 'pixel', 'thresholding', 'method', 'and', 'candidate', 'arcs', 'are', 'selected', 'within', 'this', 'multiparameter', 'space', 'examples', 'of', 'strong', 'galaxygalaxy', 'lens', 'candidates', 'discovered', 'in', 'the', 'dls', 'f2', 'field', '4', 'square', 'degrees', 'are', 'presented']] | [-0.10382598361672624, 0.012123336149905357, -0.08001944274386211, 0.08837895370238731, -0.16202911961403105, -0.06379494399973942, 0.00863020647610087, 0.4303043735544047, -0.2168786648488153, -0.31981663867801186, 0.04981859852822738, -0.31093420926481485, -0.14655818599221088, 0.22065191909167614, 0.026116508395305923, 0.03501988050711882, 0.056867787621975426, -0.07620134221149548, -0.039836394737639856, -0.31898770646207153, 0.2851694480576102, 0.021962547777342654, 0.21041271608649573, -0.06099095677341064, 0.1115969612691251, 0.040693217642500154, -0.08770756351370965, 0.07325952088825533, -0.1446731586099392, 0.1274921377039244, 0.27250788938779863, 0.1325135996805564, 0.20605084307551866, -0.3086224335936769, -0.1859906353431964, 0.102247558766976, 0.15784209618164646, 0.09592888664525573, -0.06477892406966872, -0.37989401736206585, 0.05940804859968803, -0.0894898391599136, -0.13919697900963646, -0.0785972926795723, -0.03824015135873079, 0.10728171255229221, -0.23780848401328247, 0.11333167263036294, 0.009587889819804038, 0.09162643679507798, -0.07971707333044539, -0.08240070951832158, 0.008568619428608086, 0.0709638041763326, -0.05909664236805252, 0.08468170668235078, 0.11176079900319418, -0.20814631368463574, -0.07531680489679979, 0.3786345470185962, -0.05869778782136798, -0.08377224120176247, 0.1554468346838539, -0.19003757484437478, -0.17442999145902333, 0.17367244109083269, 0.20801819565766042, 0.1532705214941093, -0.19076256903879826, 0.053716366124365686, -0.02511380461885804, 0.21956301130910194, 0.01966402897303323, 0.02568316604611614, 0.2764519284659576, 0.1427236300735404, 0.07357643329868874, 0.13968964064523817, -0.24791113855767874, 0.013215366090016981, -0.2693767004210742, -0.08429784509503553, -0.19626192414321966, -0.028801380551040864, -0.0676320551164897, -0.15553107380776876, 0.3678776939857691, 0.13762687263830053, 0.2086776502903611, 0.042453440004817, 0.33353212263975895, 0.025016328275782027, 0.18681981181350327, -0.007241426729559598, 0.3369517456439714, 0.12464730258685566, 0.07043257541485101, -0.14730889336468891, -0.010110614651826073, 0.06187037810037333] |
712.3064 | Hard QCD Processes at Colliders | Recent developments in the study of hard QCD processes at colliders are
reviewed, in the context of the imminent startup of the LHC.
| hep-ph hep-ex | recent developments in the study of hard qcd processes at colliders are reviewed in the context of the imminent startup of the lhc | [['recent', 'developments', 'in', 'the', 'study', 'of', 'hard', 'qcd', 'processes', 'at', 'colliders', 'are', 'reviewed', 'in', 'the', 'context', 'of', 'the', 'imminent', 'startup', 'of', 'the', 'lhc']] | [-0.0899118625599405, 0.2173130340550257, -0.08951422881901912, 0.08779681959877843, -0.01574685991458271, -0.0359378645763449, -0.041535589763003845, 0.3455702609018139, -0.22604207305804544, -0.20303829751260902, 0.17706392854249672, -0.31596257938477007, -0.04200818211488102, 0.1796669140458107, 0.02653133427805227, 0.16302204160424677, 0.12219645224673592, -0.03927822265288104, -0.05153204322509144, -0.30969059402528015, 0.26537204242270923, 0.1749052909081397, 0.23346666420769432, 0.1711530504019364, 0.026848965850861176, 0.07245375782899234, -0.15468234917067963, -0.046093787228607616, -0.13692358022798662, 0.11412493912908046, 0.34314688853919506, 0.09740868826275287, 0.23309519417260005, -0.4766704840990512, -0.16127502610502037, 0.08217671772708064, 0.05128433261795536, 0.06931639203558797, -0.07871646717514681, -0.23809820672740106, 0.10441418334274837, -0.21567763064218604, -0.14204323684553738, -0.016656444529476372, -0.001546655660090239, 0.001807806213669803, -0.19830822847459628, 0.0403375086253104, -0.04428163004796142, 0.028936151820032494, 0.049917992872550436, -0.16456453923297965, 0.02219038584229091, 0.006588040041210858, 0.1466818072873613, 0.041130756058365754, 0.15100257527893005, -0.32263617942352657, -0.29235922974412853, 0.40957577526569366, 0.028474706326327894, 0.004338936151369759, 0.24143682039626266, -0.23145021741156993, -0.26240774630771385, 0.08853074689598187, 0.32269792728449986, 0.05817791819572449, -0.17943355862213217, 0.17029873233126558, 0.05565764576844547, -0.005069349932929744, 0.020876580707566893, 0.07685014281583868, 0.29572422998835857, 0.3120661387624948, -0.029983278525912243, 0.12843047973254454, -0.00500134848382162, -0.1278896367420321, -0.5141656265958495, -0.061500003966300384, -0.09888760152060296, -0.039524349343517555, 0.01922307082492372, -0.050080811199934586, 0.36456354462501145, 0.15848008340791517, 0.2675467763582002, -0.05635830881478994, 0.32912137326986896, 0.08278137400908314, 0.0020852730326030564, 0.009216353459202725, 0.3740154718372809, 0.1022848053632871, 0.2649301413608634, -0.20453217694454867, 0.05064438950047707, 0.08050093022377594] |
712.3065 | Wavefunction considerations for the central spin decoherence problem in
a nuclear spin bath | Decoherence of a localized electron spin in a solid state material (the
``central spin'' problem) at low temperature is believed to be dominated by
interactions with nuclear spins in the lattice. This decoherence is partially
suppressed through the application of a large magnetic field that splits the
energy levels of the electron spin and prevents depolarization. However,
dephasing decoherence resulting from a dynamical nuclear spin bath cannot be
removed in this way. Fluctuations of the nuclear field lead to uncertainty of
the electron's precessional frequency in a process known as spectral diffusion.
This article considers the effect of the electron's wavefunction shape upon
spectral diffusion and provides wavefunction dependent decoherence time
formulas for free induction decay as well as spin echoes and concatenated
dynamical decoupling schemes for enhancing coherence. We also discuss dephasing
of a qubit encoded in singlet-triplet states of a double quantum dot. A central
theoretical result of this work is the development of a continuum approximation
for the spectral diffusion problem which we have applied to GaAs and InAs
materials specifically.
| cond-mat.mes-hall | decoherence of a localized electron spin in a solid state material the central spin problem at low temperature is believed to be dominated by interactions with nuclear spins in the lattice this decoherence is partially suppressed through the application of a large magnetic field that splits the energy levels of the electron spin and prevents depolarization however dephasing decoherence resulting from a dynamical nuclear spin bath cannot be removed in this way fluctuations of the nuclear field lead to uncertainty of the electrons precessional frequency in a process known as spectral diffusion this article considers the effect of the electrons wavefunction shape upon spectral diffusion and provides wavefunction dependent decoherence time formulas for free induction decay as well as spin echoes and concatenated dynamical decoupling schemes for enhancing coherence we also discuss dephasing of a qubit encoded in singlettriplet states of a double quantum dot a central theoretical result of this work is the development of a continuum approximation for the spectral diffusion problem which we have applied to gaas and inas materials specifically | [['decoherence', 'of', 'a', 'localized', 'electron', 'spin', 'in', 'a', 'solid', 'state', 'material', 'the', 'central', 'spin', 'problem', 'at', 'low', 'temperature', 'is', 'believed', 'to', 'be', 'dominated', 'by', 'interactions', 'with', 'nuclear', 'spins', 'in', 'the', 'lattice', 'this', 'decoherence', 'is', 'partially', 'suppressed', 'through', 'the', 'application', 'of', 'a', 'large', 'magnetic', 'field', 'that', 'splits', 'the', 'energy', 'levels', 'of', 'the', 'electron', 'spin', 'and', 'prevents', 'depolarization', 'however', 'dephasing', 'decoherence', 'resulting', 'from', 'a', 'dynamical', 'nuclear', 'spin', 'bath', 'can', 'not', 'be', 'removed', 'in', 'this', 'way', 'fluctuations', 'of', 'the', 'nuclear', 'field', 'lead', 'to', 'uncertainty', 'of', 'the', 'electrons', 'precessional', 'frequency', 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-0.015512780805251428] |
712.3066 | Generalized Pairing Wave Functions and Nodal Properties for Electronic
Structure Quantum Monte Carlo | The quantum Monte Carlo (QMC) is one of the most promising many-body
electronic structure approaches. It employs stochastic techniques for solving
the stationary Schr\" odinger equation and for evaluation of expectation
values. The key advantage of QMC is its capability to use the explicitly
correlated wave functions, which allow the study of many-body effects beyond
the reach of mean-field methods. The most important limit on QMC accuracy is
the fixed-node approximation, which comes from necessity to circumvent the
fermion sign problem. The size of resulting fixed-node errors depends on the
quality of the nodes (the subset of position space where the wave function
vanishes) of a used wave function. In this dissertation, we analyze the nodal
properties of the existing fermionic wave functions and offer new types of
variational wave functions with improved nodal structure.
| cond-mat.other | the quantum monte carlo qmc is one of the most promising manybody electronic structure approaches it employs stochastic techniques for solving the stationary schr odinger equation and for evaluation of expectation values the key advantage of qmc is its capability to use the explicitly correlated wave functions which allow the study of manybody effects beyond the reach of meanfield methods the most important limit on qmc accuracy is the fixednode approximation which comes from necessity to circumvent the fermion sign problem the size of resulting fixednode errors depends on the quality of the nodes the subset of position space where the wave function vanishes of a used wave function in this dissertation we analyze the nodal properties of the existing fermionic wave functions and offer new types of variational wave functions with improved nodal structure | [['the', 'quantum', 'monte', 'carlo', 'qmc', 'is', 'one', 'of', 'the', 'most', 'promising', 'manybody', 'electronic', 'structure', 'approaches', 'it', 'employs', 'stochastic', 'techniques', 'for', 'solving', 'the', 'stationary', 'schr', 'odinger', 'equation', 'and', 'for', 'evaluation', 'of', 'expectation', 'values', 'the', 'key', 'advantage', 'of', 'qmc', 'is', 'its', 'capability', 'to', 'use', 'the', 'explicitly', 'correlated', 'wave', 'functions', 'which', 'allow', 'the', 'study', 'of', 'manybody', 'effects', 'beyond', 'the', 'reach', 'of', 'meanfield', 'methods', 'the', 'most', 'important', 'limit', 'on', 'qmc', 'accuracy', 'is', 'the', 'fixednode', 'approximation', 'which', 'comes', 'from', 'necessity', 'to', 'circumvent', 'the', 'fermion', 'sign', 'problem', 'the', 'size', 'of', 'resulting', 'fixednode', 'errors', 'depends', 'on', 'the', 'quality', 'of', 'the', 'nodes', 'the', 'subset', 'of', 'position', 'space', 'where', 'the', 'wave', 'function', 'vanishes', 'of', 'a', 'used', 'wave', 'function', 'in', 'this', 'dissertation', 'we', 'analyze', 'the', 'nodal', 'properties', 'of', 'the', 'existing', 'fermionic', 'wave', 'functions', 'and', 'offer', 'new', 'types', 'of', 'variational', 'wave', 'functions', 'with', 'improved', 'nodal', 'structure']] | [-0.1269662109307117, 0.060230087395757435, -0.07451678206454272, 0.09742196195336335, -0.07167068343540585, -0.07722117977768735, 0.06823112548811844, 0.30773502931999114, -0.2612904907402548, -0.2546723959553573, 0.051985030237550814, -0.3081839799674021, -0.1452320377031962, 0.19501310614912115, 0.055802513607260254, 0.14335847992020986, 0.06549935941756875, 0.001330918189207161, -0.15472739453393, -0.23298014662125044, 0.3461158161982894, 0.05128970171963037, 0.29464643962715786, 0.05214748084782278, 0.11593342530368655, 0.056327926578793534, 0.032046322397784224, -0.01982092966381633, -0.13291075725142878, 0.1282834313861612, 0.2403870870117788, 0.08637199999971522, 0.313628868975987, -0.42875532387859294, -0.2280267688333643, 0.09328862830513605, 0.141430804629905, 0.15075600530641775, 0.008738078943591703, -0.2896255006685991, 0.018350645472054127, -0.15124476067721843, -0.17903803410353483, -0.09645209568380206, -0.05686821033488269, 0.06198059207138916, -0.23861590985088021, 0.10800008211215889, -0.01839855317785232, -0.01336839130424239, -0.024714018879199606, -0.16874211510574377, 0.008175028166388747, 0.11365910448409892, 0.039872028827408534, 0.06535928279497764, 0.08985145972627732, -0.14285909442610487, -0.1291420882330621, 0.39029885482181004, -0.052450928721507944, -0.24816349414349706, 0.1642700488679111, -0.1147261762784587, -0.12582000394317286, 0.15297565512980024, 0.16201225450883308, 0.126865488021738, -0.125006758977866, 0.13632550081496853, 0.006468087718153752, 0.15111061164212447, 0.005129486619046441, 0.07507497150174998, 0.13980167541238997, 0.16707115635724254, 0.08177977261926841, 0.12463782654592284, -0.09913617591201156, -0.18129360029749847, -0.28407434996355463, -0.14864492096282816, -0.2398365959007707, 0.035545344562679354, -0.09899595307371648, -0.23668595416022947, 0.42684171704437446, 0.23699211565329245, 0.11985480510802181, 0.02969978913768298, 0.3010381818447193, 0.1854300203940107, 0.057448485055593426, 0.05491177624919348, 0.22184670851479663, 0.13134513637740855, 0.04977513915272774, -0.2878841874181052, 0.07306057686520809, 0.10953564145602286] |
712.3067 | Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan
Structures and Some Applications to Physics | In this paper after recalling some essential tools concerning the theory of
differential forms in the Cartan, Hodge and Clifford bundles over a Riemannian
or Riemann-Cartan space or a Lorentzian or Riemann-Cartan spacetime we solve
with details several exercises involving different grades of difficult. One of
the problems is to show that a recent formula appearing in the literature for
the exterior covariant derivative of the Hodge dual of the torsion 2-forms is
simply wrong. We believe that the paper will be useful for students (and
eventually for some experts) on applications of differential geometry on
physical problems. A detailed account of the issues discussed in the paper
appears in the table of contents.
| math-ph math.MP | in this paper after recalling some essential tools concerning the theory of differential forms in the cartan hodge and clifford bundles over a riemannian or riemanncartan space or a lorentzian or riemanncartan spacetime we solve with details several exercises involving different grades of difficult one of the problems is to show that a recent formula appearing in the literature for the exterior covariant derivative of the hodge dual of the torsion 2forms is simply wrong we believe that the paper will be useful for students and eventually for some experts on applications of differential geometry on physical problems a detailed account of the issues discussed in the paper appears in the table of contents | [['in', 'this', 'paper', 'after', 'recalling', 'some', 'essential', 'tools', 'concerning', 'the', 'theory', 'of', 'differential', 'forms', 'in', 'the', 'cartan', 'hodge', 'and', 'clifford', 'bundles', 'over', 'a', 'riemannian', 'or', 'riemanncartan', 'space', 'or', 'a', 'lorentzian', 'or', 'riemanncartan', 'spacetime', 'we', 'solve', 'with', 'details', 'several', 'exercises', 'involving', 'different', 'grades', 'of', 'difficult', 'one', 'of', 'the', 'problems', 'is', 'to', 'show', 'that', 'a', 'recent', 'formula', 'appearing', 'in', 'the', 'literature', 'for', 'the', 'exterior', 'covariant', 'derivative', 'of', 'the', 'hodge', 'dual', 'of', 'the', 'torsion', '2forms', 'is', 'simply', 'wrong', 'we', 'believe', 'that', 'the', 'paper', 'will', 'be', 'useful', 'for', 'students', 'and', 'eventually', 'for', 'some', 'experts', 'on', 'applications', 'of', 'differential', 'geometry', 'on', 'physical', 'problems', 'a', 'detailed', 'account', 'of', 'the', 'issues', 'discussed', 'in', 'the', 'paper', 'appears', 'in', 'the', 'table', 'of', 'contents']] | [-0.12354553958989288, 0.06091753805307426, -0.097374049582102, 0.09952751658713903, -0.1657229715124949, -0.1201681600523124, -0.025321346922091356, 0.3275227166320148, -0.25826123090493575, -0.26170779649564474, 0.13697386960184463, -0.24440792720895588, -0.2138609345246662, 0.19762980661624552, -0.17133387023779123, 0.015100739765585515, 0.04746732146585393, 0.10812828519071142, -0.12975028258535945, -0.2869469888116184, 0.43717986175774093, 0.010633297979406882, 0.20619812529338033, 0.07609250316020559, 0.11511232564225793, -0.007646058526772417, -0.07242241490370872, 0.021597831089023026, -0.11610837569605792, 0.16356825096973857, 0.3116067067133835, 0.09684278521882861, 0.2592657979081483, -0.4742104939201422, -0.18543390755790792, 0.08331829091746426, 0.10306093695148695, 0.08090029279864802, -0.028774247181054466, -0.2850747094581541, 0.056291340727751195, -0.12849683508995854, -0.15843276354369887, -0.06609384438572881, 0.02923852366215566, -0.04093187143688051, -0.19451367802889363, 0.04071522331510654, 0.07614318449652688, 0.07781897264271322, -0.08747827257601577, -0.13091174362782845, 0.011834074285600269, 0.08525944150690186, 0.06500213418008857, -0.016250990242840265, 0.08852156168952781, -0.12230291575185236, -0.13516493003178193, 0.4000645394584066, -0.019126090359988444, -0.2577311181414284, 0.11326400769809097, -0.13311930159780835, -0.18877404393513866, 0.06350272911959907, 0.15055592925892325, 0.16215028255981834, -0.11537876882459641, 0.1352967638348785, -0.03256394099362456, 0.09317961318026248, 0.102478706049161, -0.009117697046971634, 0.1864405776161635, 0.11529328290111664, 0.028424174541182685, 0.10994739089010022, 0.015482407181703468, -0.11590131792942421, -0.38793382708702173, -0.23954042610140486, -0.08830884917385942, 0.08969003248044796, -0.09753912373975925, -0.16559238144321153, 0.4188103856367729, 0.10209302868890135, 0.15884059704452133, 0.016535829415691917, 0.2700322045752648, 0.07744932313564054, 0.04645992126652824, 0.026033414366426307, 0.18444603944877408, 0.1906356096855904, 0.13503549616220162, -0.13924481821034038, -0.0036663601017687796, 0.07906651685398333] |
712.3068 | Effect of Edge Roughness on Electronic Transport in Graphene Nanoribbon
Channel Metal Oxide Semiconductor Field-Effect Transistors | Results of quantum mechanical simulations of the influence of edge disorder
on transport in graphene nanoribbon metal oxide semiconductor field-effect
transistors (MOSFETs) are reported. The addition of edge disorder significantly
reduces ON-state currents and increases OFF-state currents, and introduces wide
variability across devices. These effects decrease as ribbon widths increase
and as edges become smoother. However the bandgap decreases with increasing
width, thereby increasing the band-to-band tunneling mediated subthreshold
leakage current even with perfect nanoribbons. These results suggest that
without atomically precise edge control during fabrication, MOSFET performance
gains through use of graphene will be difficult to achieve.
| cond-mat.mes-hall cond-mat.mtrl-sci | results of quantum mechanical simulations of the influence of edge disorder on transport in graphene nanoribbon metal oxide semiconductor fieldeffect transistors mosfets are reported the addition of edge disorder significantly reduces onstate currents and increases offstate currents and introduces wide variability across devices these effects decrease as ribbon widths increase and as edges become smoother however the bandgap decreases with increasing width thereby increasing the bandtoband tunneling mediated subthreshold leakage current even with perfect nanoribbons these results suggest that without atomically precise edge control during fabrication mosfet performance gains through use of graphene will be difficult to achieve | [['results', 'of', 'quantum', 'mechanical', 'simulations', 'of', 'the', 'influence', 'of', 'edge', 'disorder', 'on', 'transport', 'in', 'graphene', 'nanoribbon', 'metal', 'oxide', 'semiconductor', 'fieldeffect', 'transistors', 'mosfets', 'are', 'reported', 'the', 'addition', 'of', 'edge', 'disorder', 'significantly', 'reduces', 'onstate', 'currents', 'and', 'increases', 'offstate', 'currents', 'and', 'introduces', 'wide', 'variability', 'across', 'devices', 'these', 'effects', 'decrease', 'as', 'ribbon', 'widths', 'increase', 'and', 'as', 'edges', 'become', 'smoother', 'however', 'the', 'bandgap', 'decreases', 'with', 'increasing', 'width', 'thereby', 'increasing', 'the', 'bandtoband', 'tunneling', 'mediated', 'subthreshold', 'leakage', 'current', 'even', 'with', 'perfect', 'nanoribbons', 'these', 'results', 'suggest', 'that', 'without', 'atomically', 'precise', 'edge', 'control', 'during', 'fabrication', 'mosfet', 'performance', 'gains', 'through', 'use', 'of', 'graphene', 'will', 'be', 'difficult', 'to', 'achieve']] | [-0.18834481355068938, 0.18718409550623322, 0.07238018045163884, -0.02992303819604674, -0.018379769934227273, -0.2651794082770238, 0.11928119555315268, 0.49313052842507554, -0.22303406984963436, -0.33930666784622837, -0.01664629668990454, -0.3343408505993002, -0.16653171371031858, 0.2320653672605677, -0.049823051183104365, 0.0716590097516167, 0.10050909330222603, -0.17094653016621514, -0.06418661891995948, -0.19898152724146007, 0.1849141198600053, 0.0862127247216579, 0.3942788904817889, 0.18402532034800673, -0.046967093647476664, -0.0031455463672779046, 0.09200108755731537, 0.06250404664410317, -0.13427759357527605, 0.044900429121465704, 0.26318378031594747, -0.16057188103773765, 0.23524299899724369, -0.5382651858487908, -0.22391026095506184, -0.038860190260623186, 0.20945002955422565, 0.16131676623730787, -0.06821595156346733, -0.2532679320750188, 0.1475127042830703, -0.18601223456017596, -0.06790628987207073, 0.001221328353680366, -0.00692060356484536, -0.00010473295043659757, -0.1968772254161993, 0.07061183536235167, 0.0163579862754868, 0.037727793816439044, -0.03399819309531583, -0.16876138072004732, -0.13220341865695556, 0.08141393831346602, 0.016252344859079743, 0.009030289690209818, 0.3468138116164779, -0.19241526654009156, -0.1638125658643489, 0.2721852404350529, -0.04438734654223128, -0.10551271707351718, 0.15726182623813878, -0.16064620295501486, 0.03166126489623839, 0.19722230176973557, 0.11194242625877414, 0.04057454180010423, -0.09041703868258212, 0.05108660293507808, 0.09117318651572402, 0.1542999652447179, 0.10556165445881079, 0.19541282642974842, 0.2472916757141487, 0.22893872143396612, 0.11576268682256341, 0.13815232662707377, -0.11343093305987743, -0.0038113636439856217, -0.16009516954393488, -0.18137365076405815, -0.14993488594262425, 0.139719901197799, -0.09202116241691069, -0.2577438066542453, 0.41040006870337364, 0.23173088409310702, 0.15841635174536128, 0.033895772030964326, 0.30363577883690596, 0.16254248148143977, 0.13502343091163405, -0.007160999783675889, 0.25150599993993433, 0.18271926273496783, 0.12379586756495493, -0.2752370503731072, 0.14747796225247486, -0.12663203855140173] |
712.3069 | Complete semi-conjugacies for psuedo-Anosov homeomorphisms | Suppose $S$ is a surface of genus $\ge 2 $, $f: S \to S$ is a surface
homeomorphism isotopic to a pseudo-Anosov map $\alpha$ and suppose $\ti S$ is
the universal cover of $S$ and $F$ and $A$ are lifts of $f$ and $\alpha$
respectively. We show there is a semiconjugacy $\Theta : \ti S \to \bar \L^s
\times \bar \L^u$ from $F$ to $\bar A$, where $\bar \L^s$ ($\bar \L^u$) is the
completion of the $R$-tree of leaves of the stable (resp. unstable) foliation
for $A$ and $\bar A$ is the map induced by $A$.
We also generalize a result of Markovich and show that for any $g \in
Homeo(S)$ which commutes with $f$ and has identity lift $G : \ti S \to \ti S$
and for any $(c,w)$ in the image of $\Theta$ each component of
$\Theta^{-1}(c,w)$ is $G$-invariant.
| math.DS math.GT | suppose s is a surface of genus ge 2 f s to s is a surface homeomorphism isotopic to a pseudoanosov map alpha and suppose ti s is the universal cover of s and f and a are lifts of f and alpha respectively we show there is a semiconjugacy theta ti s to bar ls times bar lu from f to bar a where bar ls bar lu is the completion of the rtree of leaves of the stable resp unstable foliation for a and bar a is the map induced by a we also generalize a result of markovich and show that for any g in homeos which commutes with f and has identity lift g ti s to ti s and for any cw in the image of theta each component of theta1cw is ginvariant | [['suppose', 's', 'is', 'a', 'surface', 'of', 'genus', 'ge', '2', 'f', 's', 'to', 's', 'is', 'a', 'surface', 'homeomorphism', 'isotopic', 'to', 'a', 'pseudoanosov', 'map', 'alpha', 'and', 'suppose', 'ti', 's', 'is', 'the', 'universal', 'cover', 'of', 's', 'and', 'f', 'and', 'a', 'are', 'lifts', 'of', 'f', 'and', 'alpha', 'respectively', 'we', 'show', 'there', 'is', 'a', 'semiconjugacy', 'theta', 'ti', 's', 'to', 'bar', 'ls', 'times', 'bar', 'lu', 'from', 'f', 'to', 'bar', 'a', 'where', 'bar', 'ls', 'bar', 'lu', 'is', 'the', 'completion', 'of', 'the', 'rtree', 'of', 'leaves', 'of', 'the', 'stable', 'resp', 'unstable', 'foliation', 'for', 'a', 'and', 'bar', 'a', 'is', 'the', 'map', 'induced', 'by', 'a', 'we', 'also', 'generalize', 'a', 'result', 'of', 'markovich', 'and', 'show', 'that', 'for', 'any', 'g', 'in', 'homeos', 'which', 'commutes', 'with', 'f', 'and', 'has', 'identity', 'lift', 'g', 'ti', 's', 'to', 'ti', 's', 'and', 'for', 'any', 'cw', 'in', 'the', 'image', 'of', 'theta', 'each', 'component', 'of', 'theta1cw', 'is', 'ginvariant']] | [-0.19885196754202136, 0.12185230001855149, -0.07115560897406847, -0.024498106169630773, -0.012120539014337255, -0.1991968794986058, 0.046532133395564466, 0.34128169488052235, -0.32324259322794047, -0.20733440178446472, 0.018806619472075802, -0.3198407507939812, -0.09530793545726578, 0.15561733723563306, -0.07249671464566798, -0.02404793959302718, 0.03488728176692829, 0.08890550346661578, -0.12613617502639124, -0.1921247459591969, 0.3299382987452726, -0.07704853376729742, 0.11665843816145378, 0.03915610376177082, 0.07632224964361418, -0.06920289672459201, 0.016574310651990613, 0.0012333529919166775, -0.17411129934199004, 0.07522514776449979, 0.22944909209549866, 0.11077629011946127, 0.17028349602033438, -0.3245857595329118, -0.15428803495460136, 0.1588459766969797, 0.059282486285904754, -0.02398518354868215, -0.001731029158048948, -0.23909780256422786, 0.20498177966424813, -0.11205492207698305, -0.11287661829812672, -0.01066992592463708, 0.22677306877106757, -0.014976885803180802, -0.3603505330393091, -0.02889918501900598, 0.16609893992598004, 0.08215074089136631, 0.020504836873014402, -0.12738277350881083, -0.15096162290394524, 0.04003463440355571, 0.01630225308198372, 0.2191542557659833, 0.11588757310785107, -0.07937408513594967, -0.022592696905656552, 0.37523993281373647, -0.15177960452788017, -0.17126970579299858, 0.15138016357976833, -0.16869058318586802, -0.12192129417021266, 0.14403347933308824, 0.07129867910921081, 0.14765507886049284, -0.009358861312434515, 0.2564718152382685, -0.08289041157181867, 0.14683038427713602, 0.09427649021381512, -0.06559347074739087, 0.11964775387819185, 0.0982965480276, 0.1548006783157368, 0.0807909821434056, -0.10368264884249691, 0.10030330728349167, -0.3256175520638114, -0.23501767114195152, -0.1320032525999362, 0.149532835738843, -0.042216779504087754, -0.13812967158360956, 0.3882672870531678, 0.01181537309414981, 0.2676318938080358, 0.021906330216819803, 0.19491880951339707, 0.05617067136764115, 0.03886047987415462, 0.11361063158427201, 0.11397628796711455, 0.18991659989970847, -0.05386274699669551, -0.2132606678762172, 0.022296800480142015, 0.11568318266483188] |
712.307 | Supernova explosions and the birth of neutron stars | We report here on recent progress in understanding the birth conditions of
neutron stars and the way how supernovae explode. More sophisticated numerical
models have led to the discovery of new phenomena in the supernova core, for
example a generic hydrodynamic instability of the stagnant supernova shock
against low-mode nonradial deformation and the excitation of gravity-wave
activity in the surface and core of the nascent neutron star. Both can have
supportive or decisive influence on the inauguration of the explosion, the
former by improving the conditions for energy deposition by neutrino heating in
the postshock gas, the latter by supplying the developing blast with a flux of
acoustic power that adds to the energy transfer by neutrinos. While recent
two-dimensional models suggest that the neutrino-driven mechanism may be viable
for stars from about 8 solar masses to at least 15 solar masses, acoustic
energy input has been advocated as an alternative if neutrino heating fails.
Magnetohydrodynamic effects constitute another way to trigger explosions in
connection with the collapse of sufficiently rapidly rotating stellar cores,
perhaps linked to the birth of magnetars. The global explosion asymmetries seen
in the recent simulations offer an explanation of even the highest measured
kick velocities of young neutron stars.
| astro-ph | we report here on recent progress in understanding the birth conditions of neutron stars and the way how supernovae explode more sophisticated numerical models have led to the discovery of new phenomena in the supernova core for example a generic hydrodynamic instability of the stagnant supernova shock against lowmode nonradial deformation and the excitation of gravitywave activity in the surface and core of the nascent neutron star both can have supportive or decisive influence on the inauguration of the explosion the former by improving the conditions for energy deposition by neutrino heating in the postshock gas the latter by supplying the developing blast with a flux of acoustic power that adds to the energy transfer by neutrinos while recent twodimensional models suggest that the neutrinodriven mechanism may be viable for stars from about 8 solar masses to at least 15 solar masses acoustic energy input has been advocated as an alternative if neutrino heating fails magnetohydrodynamic effects constitute another way to trigger explosions in connection with the collapse of sufficiently rapidly rotating stellar cores perhaps linked to the birth of magnetars the global explosion asymmetries seen in the recent simulations offer an explanation of even the highest measured kick velocities of young neutron stars | [['we', 'report', 'here', 'on', 'recent', 'progress', 'in', 'understanding', 'the', 'birth', 'conditions', 'of', 'neutron', 'stars', 'and', 'the', 'way', 'how', 'supernovae', 'explode', 'more', 'sophisticated', 'numerical', 'models', 'have', 'led', 'to', 'the', 'discovery', 'of', 'new', 'phenomena', 'in', 'the', 'supernova', 'core', 'for', 'example', 'a', 'generic', 'hydrodynamic', 'instability', 'of', 'the', 'stagnant', 'supernova', 'shock', 'against', 'lowmode', 'nonradial', 'deformation', 'and', 'the', 'excitation', 'of', 'gravitywave', 'activity', 'in', 'the', 'surface', 'and', 'core', 'of', 'the', 'nascent', 'neutron', 'star', 'both', 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712.3071 | Estimates for the quenching time of a parabolic equation modeling
electrostatic MEMS | The singular parabolic problem $u_t=\Delta u -\frac{\lambda f(x)}{(1+u)^2}$
on a bounded domain $\Omega$ of $R^N$ with Dirichlet boundary conditions,
models the dynamic deflection of an elastic membrane in a simple electrostatic
Micro-Electromechanical System (MEMS) device. In this paper, we analyze and
estimate the quenching time of the elastic membrane in terms of the applied
voltage --represented here by $\lambda$. As a byproduct, we prove that for
sufficiently large $\lambda$, finite-time quenching must occur near the maximum
point of the varying dielectric permittivity profile $f(x)$.
| math.AP | the singular parabolic problem u_tdelta u fraclambda fx1u2 on a bounded domain omega of rn with dirichlet boundary conditions models the dynamic deflection of an elastic membrane in a simple electrostatic microelectromechanical system mems device in this paper we analyze and estimate the quenching time of the elastic membrane in terms of the applied voltage represented here by lambda as a byproduct we prove that for sufficiently large lambda finitetime quenching must occur near the maximum point of the varying dielectric permittivity profile fx | [['the', 'singular', 'parabolic', 'problem', 'u_tdelta', 'u', 'fraclambda', 'fx1u2', 'on', 'a', 'bounded', 'domain', 'omega', 'of', 'rn', 'with', 'dirichlet', 'boundary', 'conditions', 'models', 'the', 'dynamic', 'deflection', 'of', 'an', 'elastic', 'membrane', 'in', 'a', 'simple', 'electrostatic', 'microelectromechanical', 'system', 'mems', 'device', 'in', 'this', 'paper', 'we', 'analyze', 'and', 'estimate', 'the', 'quenching', 'time', 'of', 'the', 'elastic', 'membrane', 'in', 'terms', 'of', 'the', 'applied', 'voltage', 'represented', 'here', 'by', 'lambda', 'as', 'a', 'byproduct', 'we', 'prove', 'that', 'for', 'sufficiently', 'large', 'lambda', 'finitetime', 'quenching', 'must', 'occur', 'near', 'the', 'maximum', 'point', 'of', 'the', 'varying', 'dielectric', 'permittivity', 'profile', 'fx']] | [-0.19076493335326752, 0.0921919060808239, -0.032129657791411304, -0.03214211271183722, -0.06846055783140641, -0.16079292433471026, -0.01680140350861138, 0.35494076307997646, -0.3227386625865138, -0.19888643770063497, 0.09605259486580695, -0.265604556886008, -0.13696283152318525, 0.1805445948063048, -0.07177464496793158, 0.09986685370151178, 0.014495547827198562, 0.03410627901363355, -0.017720145047137356, -0.12905454425792018, 0.3271881968837725, -0.06353220195475831, 0.2043301720250712, 0.10870495959218726, 0.11750782575144107, -0.002147076306415789, 0.08794912649599095, 0.053925396066652725, -0.22727310953772956, 0.0524243944189904, 0.24480017859416667, -0.028007470298536032, 0.3052825881953699, -0.46273403049233447, -0.20122701482824892, 0.12162279618443944, 0.14011319825868965, 0.034693464580698906, -0.028800423689051925, -0.25978895917489947, 0.06216261275561459, -0.1350100820502603, -0.20529331690463495, 0.003539912279201559, 0.05657776694251112, 0.07334155601825205, -0.3120788564927966, 0.10819614986069949, 0.06101108402580427, 0.03505269513207387, -0.16411497514605164, -0.09023984499606696, -0.012543753401028463, 0.05664913686229398, 0.017246122948870242, 0.048983867179198434, 0.18299828449415648, -0.12112353631878743, -0.009590052791972118, 0.3536924146458013, -0.10606687228442226, -0.24568331012704286, 0.10972639733184893, -0.1579165077454085, -0.04662462529243834, 0.09503237164792526, 0.2108021062428513, 0.13970863007300768, -0.15518887640616622, 0.15419003216575, -0.013443129825832165, 0.1676779509461008, 0.16070300745721683, -0.03908535733213087, 0.1414706896070436, 0.200309056238866, 0.09393390456596053, 0.1590718091633844, -0.0784796141312424, -0.002347283163500658, -0.3713309489280345, -0.10895325548677559, -0.1813074825696243, 0.10900134348635931, -0.16603006612132892, -0.23819740605821094, 0.34575921499046935, 0.0717920777163502, 0.20124553011573224, 0.05315499260168837, 0.25301559915743677, 0.157181872277947, 0.009325320776327547, 0.043391523631331676, 0.21529983898557453, 0.12703569911431567, 0.1661897685620036, -0.29541066641279734, 0.03397826490789113, 0.03971312717441329] |
712.3072 | Luminosity Dependent X-ray AGN Clustering ? | We have analysed the angular clustering of X-ray selected active galactic
nuclei (AGN) in different flux-limited sub-samples of the Chandra Deep Field
North (CDF-N) and South (CDF-S) surveys. We find a strong dependence of the
clustering strength on the sub-sample flux-limit, a fact which explains most of
the disparate clustering results of different XMM and Chandra surveys. Using
Limber's equation, we find that the inverted CDF-N and CDF-S spatial clustering
lengths are consistent with direct spatial clustering measures found in the
literature, while at higher flux-limits the clustering length increases
considerably; for example, at $fx,limit ~ 10^{-15} erg/s/cm^{-2} we obtain r_0~
17 +- 5 and 18+- 3 h^{-1} Mpc, for the CDF-N and CDF-S, respectively. We show
that the observed flux-limit clustering trend hints towards an X-ray luminosity
dependent clustering of X-ray selected, $z\sim 1$, AGNs.
| astro-ph | we have analysed the angular clustering of xray selected active galactic nuclei agn in different fluxlimited subsamples of the chandra deep field north cdfn and south cdfs surveys we find a strong dependence of the clustering strength on the subsample fluxlimit a fact which explains most of the disparate clustering results of different xmm and chandra surveys using limbers equation we find that the inverted cdfn and cdfs spatial clustering lengths are consistent with direct spatial clustering measures found in the literature while at higher fluxlimits the clustering length increases considerably for example at fxlimit 1015 ergscm2 we obtain r_0 17 5 and 18 3 h1 mpc for the cdfn and cdfs respectively we show that the observed fluxlimit clustering trend hints towards an xray luminosity dependent clustering of xray selected zsim 1 agns | [['we', 'have', 'analysed', 'the', 'angular', 'clustering', 'of', 'xray', 'selected', 'active', 'galactic', 'nuclei', 'agn', 'in', 'different', 'fluxlimited', 'subsamples', 'of', 'the', 'chandra', 'deep', 'field', 'north', 'cdfn', 'and', 'south', 'cdfs', 'surveys', 'we', 'find', 'a', 'strong', 'dependence', 'of', 'the', 'clustering', 'strength', 'on', 'the', 'subsample', 'fluxlimit', 'a', 'fact', 'which', 'explains', 'most', 'of', 'the', 'disparate', 'clustering', 'results', 'of', 'different', 'xmm', 'and', 'chandra', 'surveys', 'using', 'limbers', 'equation', 'we', 'find', 'that', 'the', 'inverted', 'cdfn', 'and', 'cdfs', 'spatial', 'clustering', 'lengths', 'are', 'consistent', 'with', 'direct', 'spatial', 'clustering', 'measures', 'found', 'in', 'the', 'literature', 'while', 'at', 'higher', 'fluxlimits', 'the', 'clustering', 'length', 'increases', 'considerably', 'for', 'example', 'at', 'fxlimit', '1015', 'ergscm2', 'we', 'obtain', 'r_0', '17', '5', 'and', '18', '3', 'h1', 'mpc', 'for', 'the', 'cdfn', 'and', 'cdfs', 'respectively', 'we', 'show', 'that', 'the', 'observed', 'fluxlimit', 'clustering', 'trend', 'hints', 'towards', 'an', 'xray', 'luminosity', 'dependent', 'clustering', 'of', 'xray', 'selected', 'zsim', '1', 'agns']] | [-0.044791130874221936, 0.06968632227090393, -0.07619367799672641, 0.17560098881840258, -0.08693617843511633, -0.047099674015509005, 0.036723690324539975, 0.4867126711721259, -0.15330537625052792, -0.3696568411375795, 0.0388168710217412, -0.37617577209060354, -0.02882059415648306, 0.17884186098590157, 0.0745282820308172, -0.052624902818387, -0.004985750443871042, -0.10737021874524373, -0.0661522372532986, -0.32544510653837677, 0.25309133055248767, 0.08127064945301413, 0.28261777589839876, -0.03196785512863469, 0.1419659162332353, -0.006495522597762651, -0.16845087078224896, 0.05247731780181674, -0.14585728658403924, 0.042064700524245664, 0.2840247916642408, 0.11870923286822058, 0.2610682976341113, -0.2810642303604829, -0.17978709260407919, 0.06863716149201995, 0.24533404829680808, 0.011659180424246181, -0.03647226738810007, -0.28229785353449505, 0.08820803209971216, -0.1535512871438063, -0.1359618399423526, 0.045148925477624835, 0.023680192968962167, 0.06336056168630537, -0.1830546305115734, 0.1974160898357798, -0.030875390969720997, 0.10513309945345373, -0.182228802004282, -0.16549356179521943, -0.011775688550967191, 0.037666943893659356, 0.02582172858283708, 0.09410122741903074, 0.15433371076850513, -0.17019686329395586, -0.065182438137752, 0.28030651973654985, -0.016280167371986953, 0.037628372978853214, 0.16676602152585843, -0.2082181701898799, -0.2673312080474798, 0.11770809126695744, 0.16291005041492276, 0.09472296087253362, -0.11895623394197091, 0.026978579540194284, -0.06741722695585481, 0.29589181940974596, 0.0348474099650923, 0.034089169536780255, 0.21150770693793333, 0.10390043080367736, 0.09124475474385335, 0.10132590895763745, -0.31457551132670525, 0.015557420755127319, -0.2397830554063579, -0.00012498566901829458, -0.09248915024423845, 0.07926487123516661, -0.24615854854860494, -0.0791129958640812, 0.3280621526440732, 0.1332050286639566, 0.21782495560390608, 0.12892174932149877, 0.2779448247581188, 0.06546819731032938, 0.10049921482507336, 0.09758904239484914, 0.32564400580424563, 0.1386503419423952, 0.09401886389394731, -0.17859685836934058, -0.0029866400601944528, -0.015298036400218235] |
712.3073 | C*-algebras associated to product systems of Hilbert bimodules | Let (G,P) be a quasi-lattice ordered group and let X be a compactly aligned
product system over P of Hilbert bimodules. Under mild hypotheses we associate
to X a C*-algebra which we call the Cuntz-Nica-Pimsner algebra of X. Our
construction generalises a number of others: a sub-class of Fowler's
Cuntz-Pimsner algebras for product systems of Hilbert bimodules; Katsura's
formulation of Cuntz-Pimsner algebras of Hilbert bimodules; the C*-algebras of
finitely aligned higher-rank graphs; and Crisp and Laca's boundary quotients of
Toeplitz algebras. We show that for a large class of product systems X, the
universal representation of X in its Cuntz-Nica-Pimsner algebra is isometric.
| math.OA | let gp be a quasilattice ordered group and let x be a compactly aligned product system over p of hilbert bimodules under mild hypotheses we associate to x a calgebra which we call the cuntznicapimsner algebra of x our construction generalises a number of others a subclass of fowlers cuntzpimsner algebras for product systems of hilbert bimodules katsuras formulation of cuntzpimsner algebras of hilbert bimodules the calgebras of finitely aligned higherrank graphs and crisp and lacas boundary quotients of toeplitz algebras we show that for a large class of product systems x the universal representation of x in its cuntznicapimsner algebra is isometric | [['let', 'gp', 'be', 'a', 'quasilattice', 'ordered', 'group', 'and', 'let', 'x', 'be', 'a', 'compactly', 'aligned', 'product', 'system', 'over', 'p', 'of', 'hilbert', 'bimodules', 'under', 'mild', 'hypotheses', 'we', 'associate', 'to', 'x', 'a', 'calgebra', 'which', 'we', 'call', 'the', 'cuntznicapimsner', 'algebra', 'of', 'x', 'our', 'construction', 'generalises', 'a', 'number', 'of', 'others', 'a', 'subclass', 'of', 'fowlers', 'cuntzpimsner', 'algebras', 'for', 'product', 'systems', 'of', 'hilbert', 'bimodules', 'katsuras', 'formulation', 'of', 'cuntzpimsner', 'algebras', 'of', 'hilbert', 'bimodules', 'the', 'calgebras', 'of', 'finitely', 'aligned', 'higherrank', 'graphs', 'and', 'crisp', 'and', 'lacas', 'boundary', 'quotients', 'of', 'toeplitz', 'algebras', 'we', 'show', 'that', 'for', 'a', 'large', 'class', 'of', 'product', 'systems', 'x', 'the', 'universal', 'representation', 'of', 'x', 'in', 'its', 'cuntznicapimsner', 'algebra', 'is', 'isometric']] | [-0.20000110682574848, 0.08636107994243503, -0.08969650107353706, 0.02540226305855493, -0.1034340429138027, -0.14692855444188943, -0.05452860347634437, 0.4056887388156325, -0.42112022002830224, -0.11045370537299189, 0.11219830487457597, -0.2287870236836812, -0.10404783590495878, 0.16105701933231423, -0.21438425725928562, -0.0760503903530109, 0.14359103189781308, 0.14933143316211142, -0.17299761056133053, -0.2585283624346131, 0.46534282836478713, -0.03484980993694169, 0.19534071015568413, -0.014014235244009314, 0.13113224843754342, 0.023364686025945724, 0.022665941476018404, 0.006061224572762263, -0.12252596935849949, 0.13190043568337226, 0.35926366604718507, 0.08966231072211966, 0.23953371936017098, -0.30850147905613423, -0.08060653891166736, 0.2325998420699262, 0.13263999594046788, -0.11652638160226428, 0.01124258886328807, -0.3431440142038114, 0.05917958824384008, -0.2946889041101231, -0.09890002752745561, -0.11214739544426694, 0.12385043423330667, -0.03139183110575758, -0.33695787132955063, -0.017990265201375474, 0.13048577368916833, 0.12153831850189496, -0.11760474278308525, -0.0910456478995198, -0.13765169497734556, 0.028816913971312197, -0.12046044057134685, 0.02713898298166254, 0.14013961563799895, -0.006444141350905685, -0.18472953233867884, 0.3359263832133044, -0.00943229254848762, -0.23976907265536926, 0.11646526830964814, -0.23564676479459284, -0.20740557171623497, 0.13365481045170158, 0.0645057882031645, 0.1767856958413533, 0.012326460888645812, 0.2578493619284036, -0.2304097355386772, 0.030093691384821545, 0.050725666486530326, 0.04425570610271511, 0.11486666760973487, 0.08667086414061487, 0.06529927225646508, 0.15477449896827558, 0.11933448053576856, 0.013793574043494813, -0.35951632765286107, -0.21526257115143452, -0.09342371844503955, 0.2036437394152231, -0.13350765602894277, -0.21675185754201284, 0.36052373676177335, 0.09163878716108408, 0.17510080637008535, 0.136807325518092, 0.12671496898081958, 0.01590639552416499, 0.10472483492305722, 0.031674626979556884, -0.0075912632084652485, 0.34858567318787764, -0.05411910274928874, -0.08917039095917169, -0.050865842273696234, 0.26119506034050505] |
712.3074 | Lattice Actions for Yang-Mills Quantum Mechanics with Exact
Supersymmetry | We derive lattice actions for Yang-Mills quantum mechanics for models with
$\cQ=4, 8$ and 16 supercharges which possess an exact supersymmetry at non-zero
lattice spacing. These are obtained by dimensional reduction of twisted
versions of the corresponding super Yang-Mills theories in $D=2, 3$ and 4
dimensions.
| hep-lat hep-th | we derive lattice actions for yangmills quantum mechanics for models with cq4 8 and 16 supercharges which possess an exact supersymmetry at nonzero lattice spacing these are obtained by dimensional reduction of twisted versions of the corresponding super yangmills theories in d2 3 and 4 dimensions | [['we', 'derive', 'lattice', 'actions', 'for', 'yangmills', 'quantum', 'mechanics', 'for', 'models', 'with', 'cq4', '8', 'and', '16', 'supercharges', 'which', 'possess', 'an', 'exact', 'supersymmetry', 'at', 'nonzero', 'lattice', 'spacing', 'these', 'are', 'obtained', 'by', 'dimensional', 'reduction', 'of', 'twisted', 'versions', 'of', 'the', 'corresponding', 'super', 'yangmills', 'theories', 'in', 'd2', '3', 'and', '4', 'dimensions']] | [-0.08190689753327104, 0.25070941067436553, 0.008760356354630655, 0.05623597203391707, 0.06156079372805026, -0.2206543686075343, -0.03574812617670331, 0.3623650736692879, -0.12358623976405296, -0.30263377899924915, 0.16021800545923826, -0.28937172713792986, -0.1543317818807231, 0.07885923276965817, -0.024504146352410317, 0.07132661905553606, 0.018480206084334188, 0.07372044527696239, -0.17489101816382674, -0.3449708921006984, 0.29400312058213685, -0.05034083029927893, 0.24014330096284134, 0.014212901103827688, 0.1355358428011338, 0.030553995517806874, 0.023705219311846628, 0.010618127178814676, -0.15004751599497265, 0.18044825324581729, 0.19339622520274133, -0.01935735549777746, 0.06398373941580454, -0.4421102599137359, -0.20815722807827924, 0.024182576541271476, 0.1388423349126242, 0.14281957301362935, 0.0526480986788455, -0.24456798255236611, 0.08509798103736507, -0.159501392290824, -0.21084770508524445, -0.11003950289967987, 0.04000051369269689, -0.12994944949944814, -0.26039292753363646, 0.09446356111826996, -0.005588720883760188, 0.17910201446049742, -0.05597521494039231, -0.15536194944547282, -0.07520379490322537, 0.08250669050547811, 0.018355105061911875, 0.013697662608077128, 0.04019142540378703, -0.1948693242669429, -0.24372732051027318, 0.3914267173864775, -0.00904012183762259, -0.2366633515391085, 0.21604940609799492, -0.13677058394791353, -0.20117773613375095, 0.12843208813832865, 0.0906783369059364, 0.09569091861032777, -0.07216198833452331, 0.1893592586921942, -0.046406910175250636, 0.1536955101001594, 0.1610348501863579, 0.048843323754974535, 0.22657554106165964, 0.05760171330637402, 0.06289687092519469, 0.1228891558945179, -0.008765105406443279, -0.1601195409273108, -0.4152673919995626, -0.13542390218159805, -0.1075461553202735, 0.18121045532429383, -0.18948430772806105, -0.10314172212448385, 0.2873842352380355, 0.07634439771969079, 0.12851869221776724, 0.10984960509101964, 0.10780577896576789, 0.16182647206717068, 0.08783379544814428, 0.07736330351067913, 0.19898190806723304, 0.1882638848748886, 0.08265907714764277, -0.21537376066876782, -0.28689523012273843, 0.23192119339687955] |
712.3075 | SSC scenario for TeV emission from non-blazar AGNs | M87 is the first extragalactic source detected in the TeV gamma-ray domain
that is not a blazar, its large scale jet not being aligned to the line of
sight. We present here a multi-blob synchrotron self-Compton model accounting
explicitly for large viewing angles and moderate Lorentz factors as inferred
from magnetohydrodynamic simulations of jet formation, motivated by the
detection of M87 at very high energies (VHE; E > 100GeV). Predictions are
presented for the very high-energy emission of active galactic nuclei with
extended optical or X-ray jet, which could be misaligned blazars but still show
some moderate beaming. We include predictions for 3C273, Cen A and PKS 0521-36.
| astro-ph | m87 is the first extragalactic source detected in the tev gammaray domain that is not a blazar its large scale jet not being aligned to the line of sight we present here a multiblob synchrotron selfcompton model accounting explicitly for large viewing angles and moderate lorentz factors as inferred from magnetohydrodynamic simulations of jet formation motivated by the detection of m87 at very high energies vhe e 100gev predictions are presented for the very highenergy emission of active galactic nuclei with extended optical or xray jet which could be misaligned blazars but still show some moderate beaming we include predictions for 3c273 cen a and pks 052136 | [['m87', 'is', 'the', 'first', 'extragalactic', 'source', 'detected', 'in', 'the', 'tev', 'gammaray', 'domain', 'that', 'is', 'not', 'a', 'blazar', 'its', 'large', 'scale', 'jet', 'not', 'being', 'aligned', 'to', 'the', 'line', 'of', 'sight', 'we', 'present', 'here', 'a', 'multiblob', 'synchrotron', 'selfcompton', 'model', 'accounting', 'explicitly', 'for', 'large', 'viewing', 'angles', 'and', 'moderate', 'lorentz', 'factors', 'as', 'inferred', 'from', 'magnetohydrodynamic', 'simulations', 'of', 'jet', 'formation', 'motivated', 'by', 'the', 'detection', 'of', 'm87', 'at', 'very', 'high', 'energies', 'vhe', 'e', '100gev', 'predictions', 'are', 'presented', 'for', 'the', 'very', 'highenergy', 'emission', 'of', 'active', 'galactic', 'nuclei', 'with', 'extended', 'optical', 'or', 'xray', 'jet', 'which', 'could', 'be', 'misaligned', 'blazars', 'but', 'still', 'show', 'some', 'moderate', 'beaming', 'we', 'include', 'predictions', 'for', '3c273', 'cen', 'a', 'and', 'pks', '052136']] | [-0.04602340047212892, 0.1645486610549911, -0.029964103546237277, 0.19427070997559648, -0.17203462191326457, -0.14995852160424203, -0.021459439040431492, 0.5166799403448529, -0.17350794209132545, -0.34386856725143494, 0.017854012190973576, -0.24620997467704953, 0.05947233526097071, 0.2439147632516851, 0.02132242159030148, -0.031190924268655443, 0.08714406037698805, -0.15951585938509938, 0.014574673677420366, -0.12508836238444826, 0.2464413497614387, 0.1775617058362777, 0.1582466696506523, 0.05335561924605308, 0.11021384014639238, -0.06700574589357929, -0.05404729330444395, 0.00218326685445331, -0.04936670324642475, 0.06150729630183794, 0.2636010545157941, 0.0832457101694961, 0.15465824018780874, -0.32662551511279264, -0.2519034037244654, 0.06528470865094481, 0.15690654079499436, 0.02186524333915386, -0.061075467041859004, -0.29055775880430623, 0.06119021224989512, -0.24426040529473642, -0.1936894465568606, 0.04878699865679596, 0.00842872678049814, 0.012094675963657481, -0.18928785060062378, 0.09996013244979571, 0.010578322593420831, 0.06977593555783192, -0.1367438540339174, -0.050858502572176056, -0.020500417002346193, 0.011756498826815634, 0.13946111543238965, 0.10274673865620639, 0.18059553189864644, -0.16555532411820142, -0.15159508732645816, 0.47196391054263737, 0.010076121627309613, -0.03265873905027581, 0.19213698934067355, -0.27698347279769325, -0.2699202971846283, 0.21491817914158384, 0.19147736052155634, 0.12552430661760758, -0.12241075583080822, 0.009649303451258794, -0.06567792301300139, 0.181564788957492, 0.011993302249950226, 0.024769630861929924, 0.2949181260088476, 0.11196019425748839, -0.000985762338310689, 0.10345380157819802, -0.2973943702249883, 0.04069082022896994, -0.3401978150854392, 0.012371189197064073, -0.16454188711506046, 0.15842013781325603, -0.13073051224270113, -0.08550136031965926, 0.36943756223429935, 0.06018065480149795, 0.23946399137456076, 0.027409542757782773, 0.31530080139027716, 0.057938964675163206, 0.05273998716289056, 0.19179370744310528, 0.41002495869451255, 0.09790040205328543, 0.09753520327628912, -0.17968488342529076, 0.09127103126059487, -0.0230732410449848] |
712.3076 | How winding is the coast of Britain ? Conformal invariance of rocky
shorelines | We show that rocky shorelines with fractal dimension 4/3 are conformally
invariant curves by measuring the statistics of their winding angles from
global high-resolution data. Such coastlines are thus statistically equivalent
to the outer boundary of the random walk and of percolation clusters. A simple
model of coastal erosion gives an explanation for these results. Conformal
invariance allows also to predict the highly intermittent spatial distribution
of the flux of pollutant diffusing ashore.
| nlin.CD | we show that rocky shorelines with fractal dimension 43 are conformally invariant curves by measuring the statistics of their winding angles from global highresolution data such coastlines are thus statistically equivalent to the outer boundary of the random walk and of percolation clusters a simple model of coastal erosion gives an explanation for these results conformal invariance allows also to predict the highly intermittent spatial distribution of the flux of pollutant diffusing ashore | [['we', 'show', 'that', 'rocky', 'shorelines', 'with', 'fractal', 'dimension', '43', 'are', 'conformally', 'invariant', 'curves', 'by', 'measuring', 'the', 'statistics', 'of', 'their', 'winding', 'angles', 'from', 'global', 'highresolution', 'data', 'such', 'coastlines', 'are', 'thus', 'statistically', 'equivalent', 'to', 'the', 'outer', 'boundary', 'of', 'the', 'random', 'walk', 'and', 'of', 'percolation', 'clusters', 'a', 'simple', 'model', 'of', 'coastal', 'erosion', 'gives', 'an', 'explanation', 'for', 'these', 'results', 'conformal', 'invariance', 'allows', 'also', 'to', 'predict', 'the', 'highly', 'intermittent', 'spatial', 'distribution', 'of', 'the', 'flux', 'of', 'pollutant', 'diffusing', 'ashore']] | [-0.10830212741469343, 0.20349145379461536, -0.09178960184928858, 0.08876808932594334, -0.06281255249309146, -0.10839224188950741, 0.009230482443753216, 0.3746072779564808, -0.2273451330838725, -0.2992468719797519, 0.07537409050726435, -0.27604736574337746, -0.15677652790004182, 0.17339544587108927, -0.06910623939216344, 0.09808769246915795, 0.02522182143163971, -0.009739697251158455, -0.014398734780519994, -0.2110325547400862, 0.3144232031190768, 0.062140198424458504, 0.2773668053559959, 0.04180396998223538, 0.08172250693153021, -0.06899171302534847, -0.07128529410369487, 0.014161580437859003, -0.1579016359146408, 0.12239295564763274, 0.179329206300382, 0.07280190864144566, 0.16632590548963183, -0.4290285636153486, -0.23146049261817503, 0.08868759715308745, 0.1353505881011693, 0.061330057189075485, -0.017829116146054327, -0.3094371480660306, 0.07138456655472207, -0.08969663851571062, -0.21143145902573857, -0.04038599442638871, 0.04653581398694465, 0.02096025782844259, -0.2569421191971439, 0.14199352876837817, 0.051934257408397064, 0.11035779601014736, -0.07478155874236513, -0.056378335434904635, -0.10495519438215221, 0.14342732854776033, 0.057547498635055185, -0.01836701965657994, 0.17430541018256918, -0.10803357937321481, -0.08743155908046497, 0.38453675026539713, -0.03875054285809812, -0.19668894541812026, 0.21213206895885783, -0.20299522949305052, -0.12947145458181492, 0.1768924755936799, 0.17203193764564478, 0.07493304193485528, -0.16613538411911577, 0.02052788986394363, -0.10357986059292064, 0.10956328454711992, 0.07019973544973052, -0.027869533650421847, 0.2560497351676329, 0.12392576827874614, 0.13123962827699465, 0.1332118551217718, -0.1748709304544415, -0.11172782577018046, -0.2665189599307875, -0.15069800014478257, -0.1551352821277558, 0.07563738696626388, -0.19805699011238984, -0.21439999660813353, 0.3796184787319766, 0.13073239456955182, 0.2301271542091854, 0.10981284230365418, 0.22511620268536112, 0.07371419441834506, 0.04766354780682983, 0.10708890896704462, 0.18703764805104584, 0.12454058785159658, 0.07170986889751577, -0.181755245698797, 0.06665286637790915, 0.06897418086494629] |
712.3077 | Continuity, curvature, and the general covariance of optimal
transportation | Let M and \bar M be n-dimensional manifolds equipped with suitable Borel
probability measures \rho and \bar\rho. Ma, Trudinger & Wang gave sufficient
conditions on a transportation cost c \in C^4(M \times \bar M) to guarantee
smoothness of the optimal map pushing \rho forward to \bar\rho; the necessity
of these conditions was deduced by Loeper. The present manuscript shows the
form of these conditions to be largely dictated by the covariance of the
question; it expresses them via non-negativity of the sectional curvature of
certain null-planes in a novel but natural pseudo-Riemannian geometry which the
cost c induces on the product space M \times \bar M.
H\"older continuity of optimal maps was established for rougher mass
distributions by Loeper, still relying on a key result of Trudinger & Wang
which required certain structure on the domains and the cost. We go on to
develop this theory for mass distributions on differentiable manifolds --
recovering Loeper's Riemannian examples such as the round sphere as particular
cases -- give a direct proof of the key result mentioned above, and revise
Loeper's H\"older continuity argument to make it logically independent of all
earlier works, while extending it to less restricted geometries and cost
functions even for subdomains M and \bar M of R^n. We also give new examples of
geometries satisfying the hypotheses -- obtained using submersions and tensor
products -- and some connections to spacelike Lagrangian submanifolds in
symplectic geometry.
| math.DG math.AP | let m and bar m be ndimensional manifolds equipped with suitable borel probability measures rho and barrho ma trudinger wang gave sufficient conditions on a transportation cost c in c4m times bar m to guarantee smoothness of the optimal map pushing rho forward to barrho the necessity of these conditions was deduced by loeper the present manuscript shows the form of these conditions to be largely dictated by the covariance of the question it expresses them via nonnegativity of the sectional curvature of certain nullplanes in a novel but natural pseudoriemannian geometry which the cost c induces on the product space m times bar m holder continuity of optimal maps was established for rougher mass distributions by loeper still relying on a key result of trudinger wang which required certain structure on the domains and the cost we go on to develop this theory for mass distributions on differentiable manifolds recovering loepers riemannian examples such as the round sphere as particular cases give a direct proof of the key result mentioned above and revise loepers holder continuity argument to make it logically independent of all earlier works while extending it to less restricted geometries and cost functions even for subdomains m and bar m of rn we also give new examples of geometries satisfying the hypotheses obtained using submersions and tensor products and some connections to spacelike lagrangian submanifolds in symplectic geometry | [['let', 'm', 'and', 'bar', 'm', 'be', 'ndimensional', 'manifolds', 'equipped', 'with', 'suitable', 'borel', 'probability', 'measures', 'rho', 'and', 'barrho', 'ma', 'trudinger', 'wang', 'gave', 'sufficient', 'conditions', 'on', 'a', 'transportation', 'cost', 'c', 'in', 'c4m', 'times', 'bar', 'm', 'to', 'guarantee', 'smoothness', 'of', 'the', 'optimal', 'map', 'pushing', 'rho', 'forward', 'to', 'barrho', 'the', 'necessity', 'of', 'these', 'conditions', 'was', 'deduced', 'by', 'loeper', 'the', 'present', 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712.3078 | Two-dimensional elastic turbulence | We investigate the effect of polymer additives on a two-dimensional
Kolmogorov flow at very low Reynolds numbers by direct numerical simulations of
the Oldroyd-B viscoelastic model. We find that above the elastic instability
threshold the flow develops the elastic turbulence regime recently observed in
experiments. We observe that both the turbulent drag and the Lyapunov exponent
increase with Weissenberg, indicating the presence of a disordered,
turbulent-like mixing flow. The energy spectrum develops a power-law scaling
range with an exponent close to the experimental and theoretical expectations.
| nlin.CD physics.flu-dyn | we investigate the effect of polymer additives on a twodimensional kolmogorov flow at very low reynolds numbers by direct numerical simulations of the oldroydb viscoelastic model we find that above the elastic instability threshold the flow develops the elastic turbulence regime recently observed in experiments we observe that both the turbulent drag and the lyapunov exponent increase with weissenberg indicating the presence of a disordered turbulentlike mixing flow the energy spectrum develops a powerlaw scaling range with an exponent close to the experimental and theoretical expectations | [['we', 'investigate', 'the', 'effect', 'of', 'polymer', 'additives', 'on', 'a', 'twodimensional', 'kolmogorov', 'flow', 'at', 'very', 'low', 'reynolds', 'numbers', 'by', 'direct', 'numerical', 'simulations', 'of', 'the', 'oldroydb', 'viscoelastic', 'model', 'we', 'find', 'that', 'above', 'the', 'elastic', 'instability', 'threshold', 'the', 'flow', 'develops', 'the', 'elastic', 'turbulence', 'regime', 'recently', 'observed', 'in', 'experiments', 'we', 'observe', 'that', 'both', 'the', 'turbulent', 'drag', 'and', 'the', 'lyapunov', 'exponent', 'increase', 'with', 'weissenberg', 'indicating', 'the', 'presence', 'of', 'a', 'disordered', 'turbulentlike', 'mixing', 'flow', 'the', 'energy', 'spectrum', 'develops', 'a', 'powerlaw', 'scaling', 'range', 'with', 'an', 'exponent', 'close', 'to', 'the', 'experimental', 'and', 'theoretical', 'expectations']] | [-0.19586979667656124, 0.22623240370672268, -0.10106233142446293, 0.024216962171458575, -0.012846512954173134, -0.11008996106034448, 0.0038999259325697326, 0.2846422812273336, -0.3054819815131554, -0.2742897513604095, 0.03691098745776947, -0.29231370884795177, -0.14226221958402718, 0.18488458790653928, 0.044434539042413235, 0.13104405335345587, 0.020726942099890736, -0.0405254038727604, -0.0182353543756573, -0.11493015659128338, 0.2732400812836754, 0.1050206272630021, 0.3427941770682674, 0.08463044113176334, 0.07251776251833626, -0.08278327600673101, 0.028454963150325904, 0.08406467122285692, -0.27411273169026, 0.011771260582040562, 0.18587261388419457, -0.07850153648381143, 0.2351035769503607, -0.42903244068716156, -0.2927541344448231, 0.050170184681625214, 0.1534300189097087, 0.08352595335955537, -0.06354464064514655, -0.20560493302899738, 0.0898602812031154, -0.19777468851020255, -0.14146296641529474, -0.05457296225494099, 0.028204307506987176, 0.04915041531717708, -0.2938381719164724, 0.20377776282027277, 0.04877887779391955, 0.11620714968113705, -0.07996105573811503, -0.04853370823074392, -0.033876988035085244, 0.038347593732015774, 0.13427080899384955, -0.032045844899013985, 0.17961942837140416, -0.19986866350789273, -0.045863695043344914, 0.34761694764588463, -0.059536950565268136, -0.14973969329256825, 0.22262186922003016, -0.2014006839491167, -0.04678105153576579, 0.19937434591093037, 0.20438582805624275, 0.039252446666576485, -0.008782741435002102, 0.031419041968928106, -0.1074540117825923, 0.2001835973202359, 0.0283105394147813, -0.06970423081521551, 0.1666354682177392, 0.2227876040499744, 0.014934105549527461, 0.16349057309589413, -0.13180225875044546, -0.1259030914773385, -0.29304832311043905, -0.10390249377679686, -0.16873084117528483, 0.06032925671058555, -0.1384270417884393, -0.17925389868012348, 0.33455722879748356, 0.12823666920235685, 0.21220482682246108, 0.13338774818992025, 0.2665093803648339, 0.1568696930961207, -0.0008157628512573103, 0.11828142999086616, 0.3320449838241519, 0.1611609300733869, 0.18837956887626545, -0.2881950508196687, 0.05165685711396035, 0.06428293584910937] |
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