id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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707.323 | Is WMAP3 normalization compatible with the X-Ray cluster abundance? | We present the mass and X-ray temperature functions derived from a sample of
more than 15,000 galaxy clusters of the MareNostrum Universe cosmological SPH
simulations. In these simulations, we follow structure formation in a cubic
volume of 500/h Mpc on a side assuming cosmological parameters consistent with
either the first or third year WMAP data and gaussian initial conditions. We
compare our numerical predictions with the most recent observational estimates
of the cluster X-ray temperature functions and find that the low normalization
cosmological model inferred from the 3 year WMAP data results is barely
compatible with the present epoch X-ray cluster abundances. We can only
reconcile the simulations with the observational data if we assume a
normalization of the Mass-Temperature relation which is a factor of 2.5--3
smaller than our non-radiative simulations predict. This deviation seems to be
too large to be accounted by the effects of star formation or cooling in the
ICM, not taken into account in these simulations.
| astro-ph | we present the mass and xray temperature functions derived from a sample of more than 15000 galaxy clusters of the marenostrum universe cosmological sph simulations in these simulations we follow structure formation in a cubic volume of 500h mpc on a side assuming cosmological parameters consistent with either the first or third year wmap data and gaussian initial conditions we compare our numerical predictions with the most recent observational estimates of the cluster xray temperature functions and find that the low normalization cosmological model inferred from the 3 year wmap data results is barely compatible with the present epoch xray cluster abundances we can only reconcile the simulations with the observational data if we assume a normalization of the masstemperature relation which is a factor of 253 smaller than our nonradiative simulations predict this deviation seems to be too large to be accounted by the effects of star formation or cooling in the icm not taken into account in these simulations | [['we', 'present', 'the', 'mass', 'and', 'xray', 'temperature', 'functions', 'derived', 'from', 'a', 'sample', 'of', 'more', 'than', '15000', 'galaxy', 'clusters', 'of', 'the', 'marenostrum', 'universe', 'cosmological', 'sph', 'simulations', 'in', 'these', 'simulations', 'we', 'follow', 'structure', 'formation', 'in', 'a', 'cubic', 'volume', 'of', '500h', 'mpc', 'on', 'a', 'side', 'assuming', 'cosmological', 'parameters', 'consistent', 'with', 'either', 'the', 'first', 'or', 'third', 'year', 'wmap', 'data', 'and', 'gaussian', 'initial', 'conditions', 'we', 'compare', 'our', 'numerical', 'predictions', 'with', 'the', 'most', 'recent', 'observational', 'estimates', 'of', 'the', 'cluster', 'xray', 'temperature', 'functions', 'and', 'find', 'that', 'the', 'low', 'normalization', 'cosmological', 'model', 'inferred', 'from', 'the', '3', 'year', 'wmap', 'data', 'results', 'is', 'barely', 'compatible', 'with', 'the', 'present', 'epoch', 'xray', 'cluster', 'abundances', 'we', 'can', 'only', 'reconcile', 'the', 'simulations', 'with', 'the', 'observational', 'data', 'if', 'we', 'assume', 'a', 'normalization', 'of', 'the', 'masstemperature', 'relation', 'which', 'is', 'a', 'factor', 'of', '253', 'smaller', 'than', 'our', 'nonradiative', 'simulations', 'predict', 'this', 'deviation', 'seems', 'to', 'be', 'too', 'large', 'to', 'be', 'accounted', 'by', 'the', 'effects', 'of', 'star', 'formation', 'or', 'cooling', 'in', 'the', 'icm', 'not', 'taken', 'into', 'account', 'in', 'these', 'simulations']] | [-0.03894362799022116, 0.09096718813518281, -0.1093649028537228, 0.10400995493342996, -0.08124663424967378, -0.06546721121539241, 0.030983101515828268, 0.3825373031684886, -0.20360922019549801, -0.34857865861437703, 0.09861822192331557, -0.30472888950235355, -0.014753718944324284, 0.2169325920241243, 0.02767029455255555, -0.01672250376464741, 0.09377303272514656, -0.03906701448784204, -0.07929241062454324, -0.28585091203607343, 0.3089690411503872, 0.11207291534783677, 0.1969323043981914, -0.02005785540532992, 0.056983224627480886, -0.09565431740487816, -0.10577236733150593, 0.04757130559047927, -0.21217523271859492, 0.03599959198184462, 0.1894289104930293, 0.12454655884203981, 0.22140364765525095, -0.4251161654599019, -0.24632239880789394, 0.08956953382594236, 0.14172872788741353, 0.12207906845283134, -0.0827144313751328, -0.23757327275107737, 0.08298219217461829, -0.18841553926005128, -0.12035973100512294, 0.009467673761103452, -0.023947684499232666, 0.006450553761610056, -0.26039737119572237, 0.17951539886091483, -0.03210026508497988, 0.01596190109386207, -0.1299192450885655, -0.10395385231316576, -0.04922970301928635, 0.06131987488952969, 0.027748492808856346, 0.0470963509909531, 0.15488242988636636, -0.11946334691446343, -0.045616939157733453, 0.41204452243928585, -0.07222010769468432, -0.07480050702087628, 0.18737964162469975, -0.23754986080844304, -0.18652318410433666, 0.07832769653470666, 0.12563230498167482, 0.060334871242528565, -0.14433130577115505, 0.022169906796955487, -0.025363130745136683, 0.2629267186886683, 0.030084389366024398, -0.04034776873704008, 0.2569978305699755, 0.1412772858328828, 0.0045724852431438265, 0.07430236404494134, -0.14595731669568357, -0.051703550398743116, -0.28922729575948686, -0.04851285270371862, -0.1564011759564327, 0.08642985205961788, -0.1738843486716816, -0.1186241644104908, 0.3182156824388235, 0.16962520294585584, 0.23657315984217925, 0.09704565086260276, 0.321053460390764, 0.07835581789215483, 0.10330468349690948, 0.10014943949160923, 0.28364549718959176, 0.1393178145109057, 0.06495260285294574, -0.22056372079604902, 0.06879545861973733, -0.02049266028952617] |
707.3231 | Estimation of Small s-t Reliabilities in Acyclic Networks | In the classical s-t network reliability problem a fixed network G is given
including two designated vertices s and t (called terminals). The edges are
subject to independent random failure, and the task is to compute the
probability that s and t are connected in the resulting network, which is known
to be #P-complete. In this paper we are interested in approximating the s-t
reliability in case of a directed acyclic original network G. We introduce and
analyze a specialized version of the Monte-Carlo algorithm given by Karp and
Luby. For the case of uniform edge failure probabilities, we give a worst-case
bound on the number of samples that have to be drawn to obtain an epsilon-delta
approximation, being sharper than the original upper bound. We also derive a
variance reduction of the estimator which reduces the expected number of
iterations to perform to achieve the desired accuracy when applied in
conjunction with different stopping rules. Initial computational results on two
types of random networks (directed acyclic Delaunay graphs and a slightly
modified version of a classical random graph) with up to one million vertices
are presented. These results show the advantage of the introduced Monte-Carlo
approach compared to direct simulation when small reliabilities have to be
estimated and demonstrate its applicability on large-scale instances.
| cs.DM | in the classical st network reliability problem a fixed network g is given including two designated vertices s and t called terminals the edges are subject to independent random failure and the task is to compute the probability that s and t are connected in the resulting network which is known to be pcomplete in this paper we are interested in approximating the st reliability in case of a directed acyclic original network g we introduce and analyze a specialized version of the montecarlo algorithm given by karp and luby for the case of uniform edge failure probabilities we give a worstcase bound on the number of samples that have to be drawn to obtain an epsilondelta approximation being sharper than the original upper bound we also derive a variance reduction of the estimator which reduces the expected number of iterations to perform to achieve the desired accuracy when applied in conjunction with different stopping rules initial computational results on two types of random networks directed acyclic delaunay graphs and a slightly modified version of a classical random graph with up to one million vertices are presented these results show the advantage of the introduced montecarlo approach compared to direct simulation when small reliabilities have to be estimated and demonstrate its applicability on largescale instances | [['in', 'the', 'classical', 'st', 'network', 'reliability', 'problem', 'a', 'fixed', 'network', 'g', 'is', 'given', 'including', 'two', 'designated', 'vertices', 's', 'and', 't', 'called', 'terminals', 'the', 'edges', 'are', 'subject', 'to', 'independent', 'random', 'failure', 'and', 'the', 'task', 'is', 'to', 'compute', 'the', 'probability', 'that', 's', 'and', 't', 'are', 'connected', 'in', 'the', 'resulting', 'network', 'which', 'is', 'known', 'to', 'be', 'pcomplete', 'in', 'this', 'paper', 'we', 'are', 'interested', 'in', 'approximating', 'the', 'st', 'reliability', 'in', 'case', 'of', 'a', 'directed', 'acyclic', 'original', 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707.3232 | Comparison between the Blue and the Red Galaxy Alignments Detected in
the Sloan Digital Sky Survey | We measure the intrinsic alignments of the blue and the red galaxies
separately by analyzing the spectroscopic data of the Sloan Digital Sky Survey
Data Release 6 (SDSS DR6). For both samples of the red and the blue galaxies
with axial ratios of b/a <= 0.8, we detect a 3 sigma signal of the ellipticity
correlation in the redshift range of 0 <= z <= 0.4 for r-band absolute (model)
magnitude cut of M_r <= -19.2 (no K correction). We note a difference in the
strength and the distance scale for the red and the blue galaxy correlation
eta_{2D}(r): For the bright blue galaxies, it behaves as a quadratic scaling of
the linear density correlation of xi(r) as eta_{2D}(r) proportional to
xi^{2}(r) with strong signal detected only at small distance bin of r <= 3
Mpc/h. While for the bright red galaxies it follows a linear scaling as
eta_{2D}(r) proportional to xi(r) with signals detected at larger distance out
to r~6 Mpc/h. We also test whether the detected correlation signal is intrinsic
or spurious by quantifying the systematic error and find that the effect of the
systematic error on the ellipticity correlation is negligible. It is finally
concluded that our results will be useful for the weak lensing measurements as
well as the understanding of the large scale structure formation.
| astro-ph | we measure the intrinsic alignments of the blue and the red galaxies separately by analyzing the spectroscopic data of the sloan digital sky survey data release 6 sdss dr6 for both samples of the red and the blue galaxies with axial ratios of ba 08 we detect a 3 sigma signal of the ellipticity correlation in the redshift range of 0 z 04 for rband absolute model magnitude cut of m_r 192 no k correction we note a difference in the strength and the distance scale for the red and the blue galaxy correlation eta_2dr for the bright blue galaxies it behaves as a quadratic scaling of the linear density correlation of xir as eta_2dr proportional to xi2r with strong signal detected only at small distance bin of r 3 mpch while for the bright red galaxies it follows a linear scaling as eta_2dr proportional to xir with signals detected at larger distance out to r6 mpch we also test whether the detected correlation signal is intrinsic or spurious by quantifying the systematic error and find that the effect of the systematic error on the ellipticity correlation is negligible it is finally concluded that our results will be useful for the weak lensing measurements as well as the understanding of the large scale structure formation | [['we', 'measure', 'the', 'intrinsic', 'alignments', 'of', 'the', 'blue', 'and', 'the', 'red', 'galaxies', 'separately', 'by', 'analyzing', 'the', 'spectroscopic', 'data', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'data', 'release', '6', 'sdss', 'dr6', 'for', 'both', 'samples', 'of', 'the', 'red', 'and', 'the', 'blue', 'galaxies', 'with', 'axial', 'ratios', 'of', 'ba', '08', 'we', 'detect', 'a', '3', 'sigma', 'signal', 'of', 'the', 'ellipticity', 'correlation', 'in', 'the', 'redshift', 'range', 'of', '0', 'z', '04', 'for', 'rband', 'absolute', 'model', 'magnitude', 'cut', 'of', 'm_r', '192', 'no', 'k', 'correction', 'we', 'note', 'a', 'difference', 'in', 'the', 'strength', 'and', 'the', 'distance', 'scale', 'for', 'the', 'red', 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707.3233 | Measure-valued equations for Kolmogorov operators with unbounded
coefficients | Given a real and separable Hilbert space H we consider the measure-valued
equation \begin{equation*} \int_H\phi(x)\mu_t(dx)- \int_H\phi(x)\mu(dx)=
\int_0^t(\int_HK_0\phi(x)\mu_s(dx))ds, \end{equation*} where K_0 is the
Kolmogorov differential operator \[
K_0\phi(x)=\frac12\textrm{Trace}\big[BB^*D^2\phi(x)\big]+< x,A^*D\phi(x)>+<
D\phi(x),F(x)>, \] $x\in H$, $\phi:H\to \Rset$ is a suitable smooth function,
$A:D(A)\subset H\to H $ is linear, $F:H\to H$ is a globally Lipschitz function
and $B:H\to H$ is linear and continuous. In order prove existence and
uniqueness of a solution for the above equation, we show that $K_0$ is a core,
in a suitable way, of the infinitesimal generator associated to the solution of
a certain stochastic differential equation in H.
We also extend the above results to a reaction-diffusion operator with
polinomial nonlinearities.
| math.AP math.PR | given a real and separable hilbert space h we consider the measurevalued equation beginequation int_hphixmu_tdx int_hphixmudx int_0tint_hk_0phixmu_sdxds endequation where k_0 is the kolmogorov differential operator k_0phixfrac12textrmtracebigbbd2phixbig xadphix dphixfx xin h phihto rset is a suitable smooth function adasubset hto h is linear fhto h is a globally lipschitz function and bhto h is linear and continuous in order prove existence and uniqueness of a solution for the above equation we show that k_0 is a core in a suitable way of the infinitesimal generator associated to the solution of a certain stochastic differential equation in h we also extend the above results to a reactiondiffusion operator with polinomial nonlinearities | [['given', 'a', 'real', 'and', 'separable', 'hilbert', 'space', 'h', 'we', 'consider', 'the', 'measurevalued', 'equation', 'beginequation', 'int_hphixmu_tdx', 'int_hphixmudx', 'int_0tint_hk_0phixmu_sdxds', 'endequation', 'where', 'k_0', 'is', 'the', 'kolmogorov', 'differential', 'operator', 'k_0phixfrac12textrmtracebigbbd2phixbig', 'xadphix', 'dphixfx', 'xin', 'h', 'phihto', 'rset', 'is', 'a', 'suitable', 'smooth', 'function', 'adasubset', 'hto', 'h', 'is', 'linear', 'fhto', 'h', 'is', 'a', 'globally', 'lipschitz', 'function', 'and', 'bhto', 'h', 'is', 'linear', 'and', 'continuous', 'in', 'order', 'prove', 'existence', 'and', 'uniqueness', 'of', 'a', 'solution', 'for', 'the', 'above', 'equation', 'we', 'show', 'that', 'k_0', 'is', 'a', 'core', 'in', 'a', 'suitable', 'way', 'of', 'the', 'infinitesimal', 'generator', 'associated', 'to', 'the', 'solution', 'of', 'a', 'certain', 'stochastic', 'differential', 'equation', 'in', 'h', 'we', 'also', 'extend', 'the', 'above', 'results', 'to', 'a', 'reactiondiffusion', 'operator', 'with', 'polinomial', 'nonlinearities']] | [-0.16030805462121384, 0.07802492426256243, -0.0409709905653975, 0.0658030804513402, -0.11434431932414475, -0.14550116269406185, -0.044318453815666216, 0.3226379719427199, -0.3542653298710735, -0.13794703477116538, 0.10879966910607498, -0.320450121238466, -0.12155650816496136, 0.15518387124955074, -0.05479101393511971, 0.11267697950372997, 0.057850658717266856, 0.09442195646663748, -0.06334627980990246, -0.18928212948138962, 0.3660094857631812, -0.08809234502101407, 0.1493283168150528, 0.033912322592460416, 0.1715584575894822, -0.02675789237492582, 0.026517018241789734, -0.009255356078761748, -0.22261804158075146, 0.025678164217150905, 0.2568642049485329, 0.09026071416367822, 0.33924030537888844, -0.31406916960061176, -0.1686383358121497, 0.1857440909099521, 0.10361735377143119, 0.01417898299913962, -0.024437927796948446, -0.2947215794685107, 0.12322185618251345, -0.11384629526003762, -0.1623087635753197, -0.039180494419941043, 0.09733298176575171, 0.04573411558691448, -0.3927169335391192, 0.10255382190321717, 0.09998611205266518, -0.010339570810421578, -0.0982825331643079, -0.06480742499991818, -0.0814233507364265, -0.01610219644075169, -0.042388287925577355, 0.09240487286169986, 0.06113414964593441, -0.09268250638049422, -0.03856125073530033, 0.3454085121980136, -0.17613296606408396, -0.28046393370961104, 0.08608076239945096, -0.19014062920531022, -0.1224314356448798, 0.11045406419711495, 0.13122749281595053, 0.17895951987559527, -0.11591079749519602, 0.265810878872781, -0.10363110429742961, 0.12903942499147023, 0.03794688720581601, -0.032389077353426846, -0.004820388000349975, 0.11284816444363192, 0.17656717293904822, 0.11994713589829366, 0.028675441774290995, -0.06302436261247953, -0.42294822568164286, -0.20404999117023376, -0.1245402057826953, 0.13950452114482528, -0.10032831173496393, -0.17289478149043522, 0.31721245894859573, 0.0486979388984517, 0.23580687722751817, 0.07223843466671347, 0.1914146177253677, 0.22483126668585013, -0.025888540980957664, 0.07858712629424137, 0.1266880282426922, 0.20093935917954422, 0.09229018101559101, -0.2061506772879511, 0.016790920954414652, 0.1562523686607341] |
707.3234 | Global Sea Level Stabilization-Sand Dune Fixation: A Solar-powered
Sahara Seawater Textile Pipeline | Could anthropogenic saturation with pumped seawater of the porous ground of
active sand dune fields in major deserts (e.g., the westernmost Sahara) cause a
beneficial reduction of global sea level? Seawater extraction from the ocean,
and its deposition on deserted sand dune fields in Mauritania and elsewhere via
a Solar-powered Seawater Textile Pipeline (SSTP) can thwart the postulated
future global sea level. Thus, Macro-engineering offers an additional cure for
anticipated coastal change, driven by global sea level rise, that could
supplement, or substitute for (1) stabilizing the shoreline with costly
defensive public works (armoring macroprojects) and (2) permanent retreat from
the existing shoreline (real and capital property abandonment). We propose
Macro-engineering use tactical technologies that sculpt and vegetate barren
near-coast sand dune fields with seawater, seawater that would otherwise, as
commonly postulated, enlarge Earth seascape area! Our Macro-engineering
speculation blends eremology with hydrogeology and some hydromancy. We estimate
its cost at 1 billion dollars - about 0.01 per sent of the USA 2007 Gross
Domestic Product.
| physics.gen-ph physics.ao-ph physics.geo-ph | could anthropogenic saturation with pumped seawater of the porous ground of active sand dune fields in major deserts eg the westernmost sahara cause a beneficial reduction of global sea level seawater extraction from the ocean and its deposition on deserted sand dune fields in mauritania and elsewhere via a solarpowered seawater textile pipeline sstp can thwart the postulated future global sea level thus macroengineering offers an additional cure for anticipated coastal change driven by global sea level rise that could supplement or substitute for 1 stabilizing the shoreline with costly defensive public works armoring macroprojects and 2 permanent retreat from the existing shoreline real and capital property abandonment we propose macroengineering use tactical technologies that sculpt and vegetate barren nearcoast sand dune fields with seawater seawater that would otherwise as commonly postulated enlarge earth seascape area our macroengineering speculation blends eremology with hydrogeology and some hydromancy we estimate its cost at 1 billion dollars about 001 per sent of the usa 2007 gross domestic product | [['could', 'anthropogenic', 'saturation', 'with', 'pumped', 'seawater', 'of', 'the', 'porous', 'ground', 'of', 'active', 'sand', 'dune', 'fields', 'in', 'major', 'deserts', 'eg', 'the', 'westernmost', 'sahara', 'cause', 'a', 'beneficial', 'reduction', 'of', 'global', 'sea', 'level', 'seawater', 'extraction', 'from', 'the', 'ocean', 'and', 'its', 'deposition', 'on', 'deserted', 'sand', 'dune', 'fields', 'in', 'mauritania', 'and', 'elsewhere', 'via', 'a', 'solarpowered', 'seawater', 'textile', 'pipeline', 'sstp', 'can', 'thwart', 'the', 'postulated', 'future', 'global', 'sea', 'level', 'thus', 'macroengineering', 'offers', 'an', 'additional', 'cure', 'for', 'anticipated', 'coastal', 'change', 'driven', 'by', 'global', 'sea', 'level', 'rise', 'that', 'could', 'supplement', 'or', 'substitute', 'for', '1', 'stabilizing', 'the', 'shoreline', 'with', 'costly', 'defensive', 'public', 'works', 'armoring', 'macroprojects', 'and', '2', 'permanent', 'retreat', 'from', 'the', 'existing', 'shoreline', 'real', 'and', 'capital', 'property', 'abandonment', 'we', 'propose', 'macroengineering', 'use', 'tactical', 'technologies', 'that', 'sculpt', 'and', 'vegetate', 'barren', 'nearcoast', 'sand', 'dune', 'fields', 'with', 'seawater', 'seawater', 'that', 'would', 'otherwise', 'as', 'commonly', 'postulated', 'enlarge', 'earth', 'seascape', 'area', 'our', 'macroengineering', 'speculation', 'blends', 'eremology', 'with', 'hydrogeology', 'and', 'some', 'hydromancy', 'we', 'estimate', 'its', 'cost', 'at', '1', 'billion', 'dollars', 'about', '001', 'per', 'sent', 'of', 'the', 'usa', '2007', 'gross', 'domestic', 'product']] | [-0.06277805514657085, 0.1726717615812913, -0.033962683104939245, 0.07978053813296482, -0.03193222003646265, -0.11880079036177306, 0.06811129677024488, 0.27535929453541647, -0.22079603487051697, -0.3203767618228851, 0.17635756368315397, -0.3035592304384512, -0.1439786125212445, 0.16507463886566554, -0.12854356282103643, -0.0034022519578015046, 0.058807557628859045, -0.06271276865505947, 0.0474813048747579, -0.264640333413574, 0.20485210811877447, 0.12266064198312801, 0.2654431064542875, 0.09360219704707698, 0.11402496689221815, -0.03840458620948799, -0.01663923254470874, -0.03755759611819525, -0.11584329591900566, 0.07543164646873872, 0.2677729933715935, 0.14994138981502667, 0.27579618888502977, -0.5037337104854344, -0.2204617861169244, 0.09713634225955736, 0.09838560427882806, 0.06019838744153579, -0.04030987003498927, -0.2882032554732846, 0.0336547619220215, -0.23577264550950308, -0.17324759980587512, -0.04671069779052581, -0.00029545533617243827, 0.009215732485805667, -0.2277519486832825, 0.03934997228214388, 0.022818473657540413, 0.12301510028136929, -0.06744982160293972, -0.19970197733140216, -0.12674446724525085, 0.12907762971776976, 0.07579403026790926, 0.03453395275509647, 0.2387164987663229, -0.12429271701039855, -0.04815025425460424, 0.3548178458410614, -0.07971265625776781, -0.09592192236380945, 0.20584641807601325, -0.1165059578279912, -0.08391076185793248, 0.1664470850121019, 0.21248269533451483, 0.00729040179618359, -0.11543317876592185, -8.641898433630993e-05, -0.03502279006928768, 0.13855390341472137, 0.1339346309896828, -0.05891571187197506, 0.25172733722559215, 0.224191558266164, 0.14085358084888203, 0.029779717488706392, -0.1480188305579776, -0.05177882800915472, -0.20415958279814078, -0.16753132032441362, -0.06707971793476422, 0.06398398208332325, -0.04473182945984486, -0.1416408568064231, 0.32178607091026484, 0.16489934034165252, 0.08326526256219584, -0.020723229731028935, 0.2855400600882083, -0.025193372133638967, 0.10095961233740086, 0.07945225087255123, 0.21171061286454546, -0.005665297375453062, 0.18534463511953064, -0.16705182121785464, 0.1558382569185499, 0.009679982624655156] |
707.3235 | Airy Functions for Compact Lie Groups | The classical Airy function has been generalised by Kontsevich to a function
of a matrix argument, which is an integral over the space of (skew) hermitian
matrices of a unitary-invariant exponential kernel. In this paper, the
Kontsevich integral is generalised to integrals over the Lie algebra of an
arbitrary connected compact Lie group, using exponential kernels invariant
under the group. The (real) polynomial defining this kernel is said to have the
Airy property if the integral defines a function of moderate growth. A general
sufficient criterion for a polynomial to have the Airy property is given. It is
shown that an invariant polynomial on the Lie algebra has the Airy property if
its restriction to a Cartan subalgebra has the Airy property. This result is
used to evaluate these invariant integrals completely and explicitly on the
hermitian matrices, obtaining formulae that contain those of Kontsevich as
special cases.
| math-ph math.MP | the classical airy function has been generalised by kontsevich to a function of a matrix argument which is an integral over the space of skew hermitian matrices of a unitaryinvariant exponential kernel in this paper the kontsevich integral is generalised to integrals over the lie algebra of an arbitrary connected compact lie group using exponential kernels invariant under the group the real polynomial defining this kernel is said to have the airy property if the integral defines a function of moderate growth a general sufficient criterion for a polynomial to have the airy property is given it is shown that an invariant polynomial on the lie algebra has the airy property if its restriction to a cartan subalgebra has the airy property this result is used to evaluate these invariant integrals completely and explicitly on the hermitian matrices obtaining formulae that contain those of kontsevich as special cases | [['the', 'classical', 'airy', 'function', 'has', 'been', 'generalised', 'by', 'kontsevich', 'to', 'a', 'function', 'of', 'a', 'matrix', 'argument', 'which', 'is', 'an', 'integral', 'over', 'the', 'space', 'of', 'skew', 'hermitian', 'matrices', 'of', 'a', 'unitaryinvariant', 'exponential', 'kernel', 'in', 'this', 'paper', 'the', 'kontsevich', 'integral', 'is', 'generalised', 'to', 'integrals', 'over', 'the', 'lie', 'algebra', 'of', 'an', 'arbitrary', 'connected', 'compact', 'lie', 'group', 'using', 'exponential', 'kernels', 'invariant', 'under', 'the', 'group', 'the', 'real', 'polynomial', 'defining', 'this', 'kernel', 'is', 'said', 'to', 'have', 'the', 'airy', 'property', 'if', 'the', 'integral', 'defines', 'a', 'function', 'of', 'moderate', 'growth', 'a', 'general', 'sufficient', 'criterion', 'for', 'a', 'polynomial', 'to', 'have', 'the', 'airy', 'property', 'is', 'given', 'it', 'is', 'shown', 'that', 'an', 'invariant', 'polynomial', 'on', 'the', 'lie', 'algebra', 'has', 'the', 'airy', 'property', 'if', 'its', 'restriction', 'to', 'a', 'cartan', 'subalgebra', 'has', 'the', 'airy', 'property', 'this', 'result', 'is', 'used', 'to', 'evaluate', 'these', 'invariant', 'integrals', 'completely', 'and', 'explicitly', 'on', 'the', 'hermitian', 'matrices', 'obtaining', 'formulae', 'that', 'contain', 'those', 'of', 'kontsevich', 'as', 'special', 'cases']] | [-0.14296387508432884, 0.054157305359940684, -0.16761533326997952, 0.07884238653964162, -0.15847394144716295, -0.10783750086242484, -0.0646457634292027, 0.3740472208324669, -0.3238307740067358, -0.1738127735160241, 0.11857317080343696, -0.20729459533499353, -0.20891715241029757, 0.19255645997268525, -0.10390349442919565, 0.07042992365589, 0.04255375635143168, 0.10715728689211647, -0.1616145329002442, -0.290822962147964, 0.3906331252105333, 0.032386695915782776, 0.2075302952639381, 0.04307045267912169, 0.17876409385364142, 0.02456999747979304, -0.005351037131559507, -0.07058904465138521, -0.1108370906476921, 0.08483727639651152, 0.2468537145240761, 0.08541735785704963, 0.2430803823706417, -0.3317394691418756, -0.13840664524232615, 0.2138727766719672, 0.1463236024011732, -0.010748217987507028, 0.00707198863351919, -0.2656561875514485, 0.09530083683785051, -0.19498304913537828, -0.20702865701860976, -0.06560397231668183, 0.08120146483132565, 0.003728306237560999, -0.28662111809653407, 0.0017871316144796642, 0.10133827813410175, 0.05853313921535438, -0.012393399828421959, -0.07734678158571164, -0.005623890876744849, 0.04799267438529815, -0.014975149695748917, 0.05848363546553899, 0.08273080841172487, -0.06267573535901524, -0.10152928837035417, 0.3474729699554627, -0.03828746546846437, -0.29901933996006846, 0.09184704219444177, -0.16708246815786068, -0.14115974307060242, 0.15428334069705718, 0.06482199871459522, 0.119515086895459, -0.1321238604172863, 0.2071218523444652, -0.16356485922241937, 0.030953066977294715, 0.10184705509753847, -0.0072074481329370945, 0.0979842672980315, 0.055689378757961094, 0.08395761893228376, 0.15723164190815106, 0.04089268122334033, -0.08343661732254298, -0.3319427853802571, -0.20191982502079997, -0.21999743377877953, 0.13986430889800996, -0.14047843062409712, -0.23347284599593557, 0.42453728537893276, 0.03476514806145035, 0.17565542661169595, 0.10954172870638226, 0.21861283944579898, 0.22256917054521083, 0.15463070836031456, 0.051790700692386914, 0.12974201509810834, 0.23427411124607347, 0.015355934819495274, -0.15364102584882514, 0.049598224058344555, 0.18776415941160726] |
707.3236 | RS-232 Led Board | This article demonstrates how to develop a Microchip PIC16F84 based device
that supports RS-232 interface with PC. Circuit (LED Board) design and software
development will be discussed. PicBasic Pro Compiler from microEngineering
Labs, Inc. is used for PIC programming. Development of LED Board Control
Console using C/C++ is also briefly discussed. The project requires basic work
experience with Microchip PICs, serial communication and programming.
| cs.OH | this article demonstrates how to develop a microchip pic16f84 based device that supports rs232 interface with pc circuit led board design and software development will be discussed picbasic pro compiler from microengineering labs inc is used for pic programming development of led board control console using cc is also briefly discussed the project requires basic work experience with microchip pics serial communication and programming | [['this', 'article', 'demonstrates', 'how', 'to', 'develop', 'a', 'microchip', 'pic16f84', 'based', 'device', 'that', 'supports', 'rs232', 'interface', 'with', 'pc', 'circuit', 'led', 'board', 'design', 'and', 'software', 'development', 'will', 'be', 'discussed', 'picbasic', 'pro', 'compiler', 'from', 'microengineering', 'labs', 'inc', 'is', 'used', 'for', 'pic', 'programming', 'development', 'of', 'led', 'board', 'control', 'console', 'using', 'cc', 'is', 'also', 'briefly', 'discussed', 'the', 'project', 'requires', 'basic', 'work', 'experience', 'with', 'microchip', 'pics', 'serial', 'communication', 'and', 'programming']] | [-0.09646178127431701, 0.04421221275603579, -0.09273287005564798, -0.030258484451370613, -0.14813190785747382, -0.27544773041811443, -0.001136971817862603, 0.41428137104958296, -0.19757677722091396, -0.33747470935040547, 0.11864572049835848, -0.1886504008969848, -0.19097259830431862, 0.3059128792111522, -0.10951653244574705, 0.06926640060039298, 0.07971358375864164, -0.10349912767959459, 0.009087004740121625, -0.1995294606613536, 0.23537162373653583, 0.16050188268925394, 0.28982960449291334, 0.06399287087298298, 0.09460348464950409, 0.026830308946720775, -0.027919019872863448, -0.014540098802817444, -0.11422453498932056, 0.15862079458160988, 0.33608708108189483, 0.24094052868144167, 0.30270745809520444, -0.5273290460989359, -0.05805846197801011, -0.08089992539927122, 0.11376747060867567, 0.009137599264748485, -0.13064009936586504, -0.2649752349412489, 0.05659297766021242, -0.23938916178960953, -0.08005458528115865, 0.0024195205600511644, -0.015360976009809922, 0.04015326970857718, -0.19613682235320729, -0.13942894509724987, -0.02989975878247811, 0.13028849479592136, 0.03264929578947504, -0.12875051045369718, 0.061236090297179836, 0.08649926692728073, -0.06806823056221249, 0.08400117578135143, 0.238483855215412, 0.017856873778416025, -0.2169609030768756, 0.35222493578499603, 0.0061242903222239785, -0.10072062993722578, 0.19543277645378462, -0.032193249436996633, -0.1312776522245258, 0.0708113955559149, 0.20362055513537453, 0.005852231590618049, -0.22110807467834093, 0.11376659842320688, 0.07172092407070581, 0.2873637770948511, 0.016644314767965566, 0.010937130026098701, 0.18075957053130673, 0.27671230351552367, -0.003797967122086594, 0.16373218598047032, -0.06653729079651736, -0.10111184519595437, -0.25105901717418627, -0.251893007196486, -0.0755857745666177, -0.010832162919424234, 0.051085418263439, -0.13149645470923954, 0.317481140591084, 0.2146107508170028, -0.010336081318992881, 0.03955588548354084, 0.3288739925070155, 0.03233823848647937, 0.1315690182269581, 0.10821515791899254, 0.16882982560163062, 0.07623913401978151, 0.20058716282308584, -0.19645909351792426, 0.06697844933988827, 0.012262683527003373] |
707.3237 | In situ GISAXS study of the growth of Pd on MgO(001) | The morphology of growing Pd nano-particles on MgO(001) surfaces have been
investigated in situ, during growth, by grazing incidence small angle x-ray
scattering, for different substrate temperatures. The 2D patterns obtained are
quantitatively analyzed, and the average morphological parameters (shape, size)
deduced. Above 650 K, the aggregates adopt their equilibrium shape of truncated
octahedron, and the interfacial energy is deduced.
| cond-mat.mtrl-sci | the morphology of growing pd nanoparticles on mgo001 surfaces have been investigated in situ during growth by grazing incidence small angle xray scattering for different substrate temperatures the 2d patterns obtained are quantitatively analyzed and the average morphological parameters shape size deduced above 650 k the aggregates adopt their equilibrium shape of truncated octahedron and the interfacial energy is deduced | [['the', 'morphology', 'of', 'growing', 'pd', 'nanoparticles', 'on', 'mgo001', 'surfaces', 'have', 'been', 'investigated', 'in', 'situ', 'during', 'growth', 'by', 'grazing', 'incidence', 'small', 'angle', 'xray', 'scattering', 'for', 'different', 'substrate', 'temperatures', 'the', '2d', 'patterns', 'obtained', 'are', 'quantitatively', 'analyzed', 'and', 'the', 'average', 'morphological', 'parameters', 'shape', 'size', 'deduced', 'above', '650', 'k', 'the', 'aggregates', 'adopt', 'their', 'equilibrium', 'shape', 'of', 'truncated', 'octahedron', 'and', 'the', 'interfacial', 'energy', 'is', 'deduced']] | [-0.07903156699612737, 0.2082392756982396, -0.08184851578359181, 0.06182595576198461, 0.0006841601183017095, -0.10743953590281308, 0.02609034115448594, 0.4759036053394084, -0.29190440755337477, -0.32755481181666257, 0.05957337959941166, -0.29296793177103003, -0.0811715090336899, 0.16482477919198574, 0.024704566815247138, 0.07278636718789737, 0.010942294200261434, -0.07528375182009768, -0.08005867474130354, -0.20887541744547586, 0.26913463302189483, 0.08820705042065431, 0.32275842912495134, 0.057039060676470396, 0.033209007365318635, 0.04226890001057958, 0.03585208414588124, 0.05346668955559532, -0.2579050949153801, 0.07951177701664468, 0.20164233213290572, -0.011800394963938744, 0.12375440342972675, -0.4841523460422953, -0.24126065814246733, -0.05252090411571165, 0.12400775258041298, 0.041050343712170916, -0.10377223281514793, -0.20557099675837284, 0.06331550961282725, -0.09316351419547572, -0.19977806065386783, 0.018681989680044354, 0.06026229818817228, 0.059528111531593215, -0.17408859770124158, 0.10428082980991651, 0.023815889780720075, 0.16334992066646617, -0.13151781618750344, -0.19744451850031813, -0.15324303708815326, 0.10335032963193953, 0.043580342871913064, -0.03752795606851578, 0.2485007746766011, -0.0716505398740992, -0.0045722340233623985, 0.32974671572446823, 0.024106790255367137, -0.08920847686628501, 0.187521420357128, -0.22036030248273164, -0.005709757089304427, 0.2412759310565889, 0.1528656844670574, 0.1424958066471542, -0.16739819366484882, 0.05152327986240077, -0.02186868463177234, 0.22605063933879138, 0.19806021313803893, -0.044401819026097654, 0.20296874844158688, 0.15601402465448094, -0.05234714769370233, 0.1541688954923302, -0.17273203051881864, -0.030427773126090567, -0.12252929173409939, -0.07092281319589043, -0.1696739719171698, 0.029885806205372015, -0.17518229129830917, -0.1563393103191629, 0.32531573791832974, 0.012441548216156662, 0.2215511656443899, -0.00028309899692734083, 0.21043436469044535, 0.0718129429810991, 0.07301026858234157, -0.019847150977390506, 0.30856559947133066, 0.1472454257348242, 0.12083045623730868, -0.2788958828042572, 0.1845370789291337, 0.020985197248713425] |
707.3238 | Quantum Limits of Measurements Induced by Multiplicative Conservation
Laws: Extension of the Wigner-Araki-Yanase Theorem | The Wigner-Araki-Yanase (WAY) theorem shows that additive conservation laws
limit the accuracy of measurements. Recently, various quantitative expressions
have been found for quantum limits on measurements induced by additive
conservation laws, and have been applied to the study of fundamental limits on
quantum information processing. Here, we investigate generalizations of the WAY
theorem to multiplicative conservation laws. The WAY theorem is extended to
show that an observable not commuting with the modulus of, or equivalently the
square of, a multiplicatively conserved quantity cannot be precisely measured.
We also obtain a lower bound for the mean-square noise of a measurement in the
presence of a multiplicatively conserved quantity. To overcome this noise it is
necessary to make large the coefficient of variation (the so-called relative
fluctuation), instead of the variance as is the case for additive conservation
laws, of the conserved quantity in the apparatus.
| quant-ph | the wignerarakiyanase way theorem shows that additive conservation laws limit the accuracy of measurements recently various quantitative expressions have been found for quantum limits on measurements induced by additive conservation laws and have been applied to the study of fundamental limits on quantum information processing here we investigate generalizations of the way theorem to multiplicative conservation laws the way theorem is extended to show that an observable not commuting with the modulus of or equivalently the square of a multiplicatively conserved quantity cannot be precisely measured we also obtain a lower bound for the meansquare noise of a measurement in the presence of a multiplicatively conserved quantity to overcome this noise it is necessary to make large the coefficient of variation the socalled relative fluctuation instead of the variance as is the case for additive conservation laws of the conserved quantity in the apparatus | [['the', 'wignerarakiyanase', 'way', 'theorem', 'shows', 'that', 'additive', 'conservation', 'laws', 'limit', 'the', 'accuracy', 'of', 'measurements', 'recently', 'various', 'quantitative', 'expressions', 'have', 'been', 'found', 'for', 'quantum', 'limits', 'on', 'measurements', 'induced', 'by', 'additive', 'conservation', 'laws', 'and', 'have', 'been', 'applied', 'to', 'the', 'study', 'of', 'fundamental', 'limits', 'on', 'quantum', 'information', 'processing', 'here', 'we', 'investigate', 'generalizations', 'of', 'the', 'way', 'theorem', 'to', 'multiplicative', 'conservation', 'laws', 'the', 'way', 'theorem', 'is', 'extended', 'to', 'show', 'that', 'an', 'observable', 'not', 'commuting', 'with', 'the', 'modulus', 'of', 'or', 'equivalently', 'the', 'square', 'of', 'a', 'multiplicatively', 'conserved', 'quantity', 'can', 'not', 'be', 'precisely', 'measured', 'we', 'also', 'obtain', 'a', 'lower', 'bound', 'for', 'the', 'meansquare', 'noise', 'of', 'a', 'measurement', 'in', 'the', 'presence', 'of', 'a', 'multiplicatively', 'conserved', 'quantity', 'to', 'overcome', 'this', 'noise', 'it', 'is', 'necessary', 'to', 'make', 'large', 'the', 'coefficient', 'of', 'variation', 'the', 'socalled', 'relative', 'fluctuation', 'instead', 'of', 'the', 'variance', 'as', 'is', 'the', 'case', 'for', 'additive', 'conservation', 'laws', 'of', 'the', 'conserved', 'quantity', 'in', 'the', 'apparatus']] | [-0.1357721075287153, 0.14006992925113018, -0.11997595469884831, 0.07800108603009119, -0.041223890411442726, -0.1063134620736899, 0.044838397677763014, 0.27768635715133155, -0.28542655430220326, -0.30685285414601193, 0.09665992511596916, -0.2716202361444975, -0.13175926545859667, 0.20392529278319202, -0.10134611481736447, 0.08234683509016859, 0.006707934993479786, 0.06484965160489083, -0.04960012682874141, -0.21713688365858178, 0.2934011715753325, 0.04947916890237609, 0.2968793296126713, 0.08315274467579378, 0.1398960937007234, -0.03009098383501686, -0.0690184679139277, 0.050036202743649484, -0.16000091929103102, 0.10891784897860911, 0.2058666260784556, 0.06682510330052725, 0.2256409070743569, -0.38199826094867856, -0.20474755830805877, 0.16351931438749207, 0.11916878688398042, 0.11202583653161881, -0.012171630017009789, -0.23249842422885886, 0.09849392263026073, -0.1763047748598559, -0.1578161875267738, -0.11810869349744813, 0.04907894183737065, 0.034584218586377544, -0.2671997794463974, 0.1407830996228109, 0.12443009612560954, 0.05265460289243994, -0.04242011158694995, -0.08931451844501084, -0.0024257408848417732, 0.13686591034658768, 0.06497438422982292, -0.012132969143768322, 0.13925334030826544, -0.11373089321343036, -0.12685337959274906, 0.36619529311769994, -0.09488258610945195, -0.2792719762001572, 0.11703479266243762, -0.16146621971776517, -0.16047401343440187, 0.07312458628660132, 0.13044316618671192, 0.0858654354474154, -0.2182447773051159, 0.10520842735262202, -0.05229219004254917, 0.16336589890435851, 0.06771046510608546, 0.09866878425638223, 0.1736800792980297, 0.07665848273318261, 0.12627510604416503, 0.13354582801493334, -0.05420005453172429, -0.1048541068934418, -0.32916422637886017, -0.16645562768680974, -0.2125462710680761, 0.11333791863129089, -0.0732558582876287, -0.15155159685166616, 0.3205351942315184, 0.14440871383673673, 0.15860292026130804, 0.07284543789794733, 0.2950812881908797, 0.2097923143373417, 0.08453521738149997, 0.025453419912734938, 0.2445499905995254, 0.22610196218312043, 0.058256246708333494, -0.2031413163925553, 0.07435102423588777, 0.07651405416043668] |
707.3239 | Chandra X-ray Sources in the LALA Cetus Field | The 174 ks Chandra Advanced CCD Imaging Spectrometer exposure of the Large
Area Lyman Alpha Survey (LALA) Cetus field is the second of the two deep
Chandra images on LALA fields. In this paper we present the Chandra X-ray
sources detected in the Cetus field, along with an analysis of X-ray source
counts, stacked X-ray spectrum, and optical identifications. A total of 188
X-ray sources were detected: 174 in the 0.5-7.0 keV band, 154 in the 0.5-2.0
keV band, and 113 in the 2.0-7.0 keV band. The X-ray source counts were derived
and compared with LALA Bootes field (172 ks exposure). Interestingly, we find
consistent hard band X-ray source density, but 36+-12% higher soft band X-ray
source density in Cetus field. The weighted stacked spectrum of the detected
X-ray sources can be fitted by a powerlaw with photon index Gamma = 1.55. Based
on the weighted stacked spectrum, we find that the resolved fraction of the
X-ray background drops from 72+-1% at 0.5-1.0 keV to 63+-4% at 6.0-8.0 keV. The
unresolved spectrum can be fitted by a powerlaw over the range 0.5-7 keV, with
a photon index Gamma = 1.22. We also present optical counterparts for 154 of
the X-ray sources, down to a limiting magnitude of r' = 25.9 (Vega), using a
deep r' band image obtained with the MMT.
| astro-ph | the 174 ks chandra advanced ccd imaging spectrometer exposure of the large area lyman alpha survey lala cetus field is the second of the two deep chandra images on lala fields in this paper we present the chandra xray sources detected in the cetus field along with an analysis of xray source counts stacked xray spectrum and optical identifications a total of 188 xray sources were detected 174 in the 0570 kev band 154 in the 0520 kev band and 113 in the 2070 kev band the xray source counts were derived and compared with lala bootes field 172 ks exposure interestingly we find consistent hard band xray source density but 3612 higher soft band xray source density in cetus field the weighted stacked spectrum of the detected xray sources can be fitted by a powerlaw with photon index gamma 155 based on the weighted stacked spectrum we find that the resolved fraction of the xray background drops from 721 at 0510 kev to 634 at 6080 kev the unresolved spectrum can be fitted by a powerlaw over the range 057 kev with a photon index gamma 122 we also present optical counterparts for 154 of the xray sources down to a limiting magnitude of r 259 vega using a deep r band image obtained with the mmt | [['the', '174', 'ks', 'chandra', 'advanced', 'ccd', 'imaging', 'spectrometer', 'exposure', 'of', 'the', 'large', 'area', 'lyman', 'alpha', 'survey', 'lala', 'cetus', 'field', 'is', 'the', 'second', 'of', 'the', 'two', 'deep', 'chandra', 'images', 'on', 'lala', 'fields', 'in', 'this', 'paper', 'we', 'present', 'the', 'chandra', 'xray', 'sources', 'detected', 'in', 'the', 'cetus', 'field', 'along', 'with', 'an', 'analysis', 'of', 'xray', 'source', 'counts', 'stacked', 'xray', 'spectrum', 'and', 'optical', 'identifications', 'a', 'total', 'of', '188', 'xray', 'sources', 'were', 'detected', '174', 'in', 'the', '0570', 'kev', 'band', '154', 'in', 'the', '0520', 'kev', 'band', 'and', '113', 'in', 'the', '2070', 'kev', 'band', 'the', 'xray', 'source', 'counts', 'were', 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'vega', 'using', 'a', 'deep', 'r', 'band', 'image', 'obtained', 'with', 'the', 'mmt']] | [-0.033951605151985205, 0.08178372276912836, -0.055140719547318424, 0.09165587776216082, -0.06140847127103517, -0.08455519426468125, 0.08999685634384662, 0.5064753996431485, -0.1720386647258795, -0.4395153258201851, 0.05374540586570656, -0.41104832067999836, 0.020868921600934547, 0.21603266372209123, 0.0015019079764729821, -0.029484226134464078, 0.02420390623810482, -0.09635498288006003, -0.04631933263151087, -0.22511427450392926, 0.1946970891220332, 0.08904030697268953, 0.20971099098002718, -0.01872646172256273, 0.06418894477682682, 0.031222388098951996, -0.0934008379393871, -0.011441099309375346, -0.10343715299929043, 0.07081659851286749, 0.25425571093683386, 0.022219707413087278, 0.1810055073220036, -0.2792004923666677, -0.21025226256286528, 0.027676436743508028, 0.15827860625156026, -0.10003799047698761, 0.0016178064346570986, -0.2878351806864692, 0.06508149782169936, -0.17986188123371744, 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707.324 | Casimir effect in de Sitter spacetime with compactified dimension | We investigate the Hadamard function, the vacuum expectation values of the
field square and the energy-momentum tensor of a scalar field with general
curvature coupling parameter in de Sitter spacetime compactified along one of
spatial dimensions. By using the Abel-Plana summation formula, we have
explicitly extracted from the vacuum expectation values the part due to the
compactness of the spatial dimension. The topological part in the vacuum
energy-momentum tensor violates the local de Sitter symmetry and dominates in
the early stages of the cosmological evolution. At late times the corresponding
vacuum stresses are isotropic and the topological part corresponds to an
effective gravitational source with barotropic equation of state.
| hep-th astro-ph gr-qc | we investigate the hadamard function the vacuum expectation values of the field square and the energymomentum tensor of a scalar field with general curvature coupling parameter in de sitter spacetime compactified along one of spatial dimensions by using the abelplana summation formula we have explicitly extracted from the vacuum expectation values the part due to the compactness of the spatial dimension the topological part in the vacuum energymomentum tensor violates the local de sitter symmetry and dominates in the early stages of the cosmological evolution at late times the corresponding vacuum stresses are isotropic and the topological part corresponds to an effective gravitational source with barotropic equation of state | [['we', 'investigate', 'the', 'hadamard', 'function', 'the', 'vacuum', 'expectation', 'values', 'of', 'the', 'field', 'square', 'and', 'the', 'energymomentum', 'tensor', 'of', 'a', 'scalar', 'field', 'with', 'general', 'curvature', 'coupling', 'parameter', 'in', 'de', 'sitter', 'spacetime', 'compactified', 'along', 'one', 'of', 'spatial', 'dimensions', 'by', 'using', 'the', 'abelplana', 'summation', 'formula', 'we', 'have', 'explicitly', 'extracted', 'from', 'the', 'vacuum', 'expectation', 'values', 'the', 'part', 'due', 'to', 'the', 'compactness', 'of', 'the', 'spatial', 'dimension', 'the', 'topological', 'part', 'in', 'the', 'vacuum', 'energymomentum', 'tensor', 'violates', 'the', 'local', 'de', 'sitter', 'symmetry', 'and', 'dominates', 'in', 'the', 'early', 'stages', 'of', 'the', 'cosmological', 'evolution', 'at', 'late', 'times', 'the', 'corresponding', 'vacuum', 'stresses', 'are', 'isotropic', 'and', 'the', 'topological', 'part', 'corresponds', 'to', 'an', 'effective', 'gravitational', 'source', 'with', 'barotropic', 'equation', 'of', 'state']] | [-0.1644973153624376, 0.17563961834207267, -0.09862262668053902, 0.06727949083876719, -0.07916551079054218, -0.0533907399427385, -0.11210848706338657, 0.2684698780003183, -0.19412909203995055, -0.2548565897543769, 0.08714649755477803, -0.23331204829139446, -0.07447752227511155, 0.08062532745780202, 0.015832943354793096, 0.023074361769356466, -0.05248993460661432, 0.06135788006994258, -0.09772979045167156, -0.23757754504219245, 0.43545460937771124, 0.0706017701843873, 0.30433318794303393, 0.002442211525753961, 0.15436880607499714, -0.0024928137897129317, -0.018809096383597325, 0.0021430908557061755, -0.1534123323951771, 0.05623718729528915, 0.1802859321394679, 0.06158766344428883, 0.2069654655941856, -0.42346129535671767, -0.1801592390642527, 0.1223609707165518, 0.08737771896594161, 0.1645490426886314, 0.013556321644984664, -0.3214943525338665, 0.04031849397483085, -0.15450121319656251, -0.17918864407345925, -0.04654091124961136, 0.012350768733069027, -0.09375604785073104, -0.22892634163038172, 0.1657672543321638, -0.02679491646955251, -0.0005625925847081416, -0.14120110918537054, -0.11296794253269023, -0.06497706278492141, 0.07974052021104774, 0.137778911536662, 0.0395485394828688, 0.13268756981909172, -0.18497333317619125, -0.07297845087131621, 0.33694647368334163, -0.1557140225510395, -0.21026248513473147, 0.09075133993777387, -0.17545214935351128, -0.0649615377614941, 0.13724683636987428, 0.09224543200139332, 0.13502441388939362, -0.08158261718125928, 0.2186440095340688, 0.05474357988787901, 0.1255298412635649, 0.12310275016352534, 0.04179937529875342, 0.2506685363333843, 0.033612937581033335, 0.031236272179222573, 0.15523330503946528, -0.04529225590015087, -0.13094096965318835, -0.4081377831860146, -0.20916405511558603, -0.21893043112471153, 0.11347273286910506, -0.21678966135515537, -0.20142851171399886, 0.4027996489120254, 0.1042035184458855, 0.15897501355417312, 0.03914773923455985, 0.26217552722183934, 0.12225770337801906, 0.07691178573380916, 0.09654541292341016, 0.30625349865935814, 0.17393248950114149, 0.1734741657391327, -0.25279435683938956, -0.046931043429590695, 0.14777447064962546] |
707.3241 | Gibbs Rapidly Samples Colorings of G(n,d/n) | Gibbs sampling also known as Glauber dynamics is a popular technique for
sampling high dimensional distributions defined on graphs. Of special interest
is the behavior of Gibbs sampling on the Erd\H{o}s-R\'enyi random graph
G(n,d/n). While the average degree in G(n,d/n) is d(1-o(1)), it contains many
nodes of degree of order $\log n / \log \log n$.
The existence of nodes of almost logarithmic degrees implies that for many
natural distributions defined on G(n,p) such as uniform coloring or the Ising
model, the mixing time of Gibbs sampling is at least $n^{1 + \Omega(1 / \log
\log n)}$. High degree nodes pose a technical challenge in proving polynomial
time mixing of the dynamics for many models including coloring.
In this work consider sampling q-colorings and show that for every $d <
\infty$ there exists $q(d) < \infty$ such that for all $q \geq q(d)$ the mixing
time of Gibbs sampling on G(n,d/n) is polynomial in $n$ with high probability.
Our results are the first polynomial time mixing results proven for the
coloring model on G(n,d/n) for d > 1 where the number of colors does not depend
on n. They extend to much more general families of graphs which are sparse in
some average sense and to much more general interactions. The results also
generalize to the hard-core model at low fugacity and to general models of soft
constraints at high temperatures.
| math.PR math.CO | gibbs sampling also known as glauber dynamics is a popular technique for sampling high dimensional distributions defined on graphs of special interest is the behavior of gibbs sampling on the erdhosrenyi random graph gndn while the average degree in gndn is d1o1 it contains many nodes of degree of order log n log log n the existence of nodes of almost logarithmic degrees implies that for many natural distributions defined on gnp such as uniform coloring or the ising model the mixing time of gibbs sampling is at least n1 omega1 log log n high degree nodes pose a technical challenge in proving polynomial time mixing of the dynamics for many models including coloring in this work consider sampling qcolorings and show that for every d infty there exists qd infty such that for all q geq qd the mixing time of gibbs sampling on gndn is polynomial in n with high probability our results are the first polynomial time mixing results proven for the coloring model on gndn for d 1 where the number of colors does not depend on n they extend to much more general families of graphs which are sparse in some average sense and to much more general interactions the results also generalize to the hardcore model at low fugacity and to general models of soft constraints at high temperatures | [['gibbs', 'sampling', 'also', 'known', 'as', 'glauber', 'dynamics', 'is', 'a', 'popular', 'technique', 'for', 'sampling', 'high', 'dimensional', 'distributions', 'defined', 'on', 'graphs', 'of', 'special', 'interest', 'is', 'the', 'behavior', 'of', 'gibbs', 'sampling', 'on', 'the', 'erdhosrenyi', 'random', 'graph', 'gndn', 'while', 'the', 'average', 'degree', 'in', 'gndn', 'is', 'd1o1', 'it', 'contains', 'many', 'nodes', 'of', 'degree', 'of', 'order', 'log', 'n', 'log', 'log', 'n', 'the', 'existence', 'of', 'nodes', 'of', 'almost', 'logarithmic', 'degrees', 'implies', 'that', 'for', 'many', 'natural', 'distributions', 'defined', 'on', 'gnp', 'such', 'as', 'uniform', 'coloring', 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707.3242 | Double Lepton Polarization Forward--Backward Asymmetries in B \rar
K^\ast \ell^+ \ell^- Decay in the SM4 | This study examines the influence of the fourth generation quarks on the
double lepton polarizations forward--backward asymmetries in B \rar K^\ast
\ell^+ \ell^- decay. We obtain that for both (muon, tau) channels the magnitude
and the sign of the differential forward--backward asymmetries and the
magnitude of the average forward--backward asymmetries are quite sensitive to
the 4th generation quarks mass and mixing parameters. It can serve as a good
tool to search for new physics effects, precisely, to search for the fourth
generation quarks(t', b') via its indirect manifestations in the loop diagrams.
| hep-ph | this study examines the influence of the fourth generation quarks on the double lepton polarizations forwardbackward asymmetries in b rar kast ell ell decay we obtain that for both muon tau channels the magnitude and the sign of the differential forwardbackward asymmetries and the magnitude of the average forwardbackward asymmetries are quite sensitive to the 4th generation quarks mass and mixing parameters it can serve as a good tool to search for new physics effects precisely to search for the fourth generation quarkst b via its indirect manifestations in the loop diagrams | [['this', 'study', 'examines', 'the', 'influence', 'of', 'the', 'fourth', 'generation', 'quarks', 'on', 'the', 'double', 'lepton', 'polarizations', 'forwardbackward', 'asymmetries', 'in', 'b', 'rar', 'kast', 'ell', 'ell', 'decay', 'we', 'obtain', 'that', 'for', 'both', 'muon', 'tau', 'channels', 'the', 'magnitude', 'and', 'the', 'sign', 'of', 'the', 'differential', 'forwardbackward', 'asymmetries', 'and', 'the', 'magnitude', 'of', 'the', 'average', 'forwardbackward', 'asymmetries', 'are', 'quite', 'sensitive', 'to', 'the', '4th', 'generation', 'quarks', 'mass', 'and', 'mixing', 'parameters', 'it', 'can', 'serve', 'as', 'a', 'good', 'tool', 'to', 'search', 'for', 'new', 'physics', 'effects', 'precisely', 'to', 'search', 'for', 'the', 'fourth', 'generation', 'quarkst', 'b', 'via', 'its', 'indirect', 'manifestations', 'in', 'the', 'loop', 'diagrams']] | [-0.11976918983070747, 0.19862293570464395, -0.033154607112721904, 0.17640436569648876, -0.09302812240734372, -0.12451807999699983, 0.06189795903628692, 0.2845155367141832, -0.2862547784841255, -0.296768411508073, 0.022653872380033135, -0.29903567101016804, -0.008670949442919506, 0.18451972948589726, 0.09305671124678591, 0.05265329829252669, 0.06488021992592384, -0.015374003777928327, -0.05868249434380508, -0.20030088147715383, 0.2584447517140728, 0.01251469660833802, 0.21450484731568673, 0.07861133124780557, 0.02844446227359383, 0.011839782621751985, -0.10428053684249196, -0.06017171005394472, -0.1088412565679154, 0.025526720350962536, 0.17841490911846253, 0.0643263453176073, 0.1016182831245596, -0.3105498035995128, -0.048101047560086714, 0.17033913138363024, 0.14360327579830165, 0.07709566315727147, -0.0934825539449736, -0.28872573938544677, 0.10317518568152319, -0.15238206606338042, -0.09315954247975479, -0.09979286206299035, 0.05469228559092659, -0.011096991398675449, -0.39193426435003464, 0.07796215721527519, 0.008026950633274797, -0.0007270125409021326, 0.0932570340392767, -0.22235648085251855, -0.04028421473618516, 0.10141464505526844, 0.12993097165599465, 0.04957829774914147, 0.11025695008056177, -0.1655845234914602, -0.21698182935664512, 0.39833880098455626, -0.16378228937063125, -0.2139637998568461, 0.1221072094656689, -0.2503494925736247, -0.13220435732712402, 0.09223633664710772, 0.2573725476294108, 0.1449197444586468, -0.17776335717644542, 0.05586554102774244, -0.012425873084398716, 0.12174030918749454, 0.05004183906029262, 0.07830300283587902, 0.22696388439963694, 0.17194648638732082, 0.06683315427811898, 0.07293801706122316, -0.15824510266437478, -0.07964290058969156, -0.35834786964013526, -0.17766750783092625, -0.01516686505941755, 0.01982355217003952, -0.046935655181226575, -0.08411342518039695, 0.4564543812252257, 0.11361345610804045, 0.2244905197253304, -0.00909401315426373, 0.33424054798872577, 0.12321492641754246, 0.10606934293299793, 0.018852778355484708, 0.3084972232742154, 0.20674991575272186, 0.17974132411536234, -0.3285547545807355, 0.10181510066816016, 0.0799153444721647] |
707.3243 | ALFALFA in the Leo Region: Looking for Missing Satellites in HI | The location of two nearby galaxy groups within ~20 Mpc in the Leo region
allows for a detailed study of low-mass galaxies. A catalog of HI line
detections in Leo (9h36m < RA <11h36m, +8deg < dec < +16deg) has been made from
the blind HI survey ALFALFA. More sensitive single-pixel Arecibo observations
targeted Leo dwarf candidates noted optically by Karachentsev et al 2004 (K04)
to determine group members and allow for a comparison of HI and
optically-selected samples. This presentation highlights the differences
between the two samples and the significant contribution blind HI surveys can
make to the missing satellites problem.
| astro-ph | the location of two nearby galaxy groups within 20 mpc in the leo region allows for a detailed study of lowmass galaxies a catalog of hi line detections in leo 9h36m ra 11h36m 8deg dec 16deg has been made from the blind hi survey alfalfa more sensitive singlepixel arecibo observations targeted leo dwarf candidates noted optically by karachentsev et al 2004 k04 to determine group members and allow for a comparison of hi and opticallyselected samples this presentation highlights the differences between the two samples and the significant contribution blind hi surveys can make to the missing satellites problem | [['the', 'location', 'of', 'two', 'nearby', 'galaxy', 'groups', 'within', '20', 'mpc', 'in', 'the', 'leo', 'region', 'allows', 'for', 'a', 'detailed', 'study', 'of', 'lowmass', 'galaxies', 'a', 'catalog', 'of', 'hi', 'line', 'detections', 'in', 'leo', '9h36m', 'ra', '11h36m', '8deg', 'dec', '16deg', 'has', 'been', 'made', 'from', 'the', 'blind', 'hi', 'survey', 'alfalfa', 'more', 'sensitive', 'singlepixel', 'arecibo', 'observations', 'targeted', 'leo', 'dwarf', 'candidates', 'noted', 'optically', 'by', 'karachentsev', 'et', 'al', '2004', 'k04', 'to', 'determine', 'group', 'members', 'and', 'allow', 'for', 'a', 'comparison', 'of', 'hi', 'and', 'opticallyselected', 'samples', 'this', 'presentation', 'highlights', 'the', 'differences', 'between', 'the', 'two', 'samples', 'and', 'the', 'significant', 'contribution', 'blind', 'hi', 'surveys', 'can', 'make', 'to', 'the', 'missing', 'satellites', 'problem']] | [-0.07758127311220604, -0.01956680435303253, -0.04843732562472986, 0.07002046151619558, -0.1674090520738019, -0.0576800678577034, 0.1227652537348421, 0.42045463110829134, -0.09082436188095316, -0.38288911627893596, 0.03365412903421549, -0.3428975173595335, -0.04851125667025287, 0.17244321513037705, -0.03680980147478247, -0.0298156380286133, 0.05790792491776658, -0.18019996306465305, -0.027527298696684774, -0.2963400834897706, 0.23087616204332137, 0.12135870996670625, 0.16459742030032823, -0.11983026573242447, 0.07026929852730335, -0.0816378620370368, -0.21564363379069826, -0.06393995548876905, -0.1526179472488572, -0.00567122913786623, 0.3241476843844062, 0.13314555038352371, 0.24631745639717995, -0.30469100954030287, -0.14418489925716957, 0.09246071250437154, 0.21172531445501083, 0.041621402911745854, -0.10727867891501333, -0.3982206763334803, 0.08004825399257243, -0.2142580699514041, -0.14955445443707296, 0.0989894022992284, 0.10152447290092073, 0.050170997437329716, -0.20495091746897273, 0.12889533946302614, -0.02302721437527654, 0.1547037393968437, -0.06567614364315343, -0.13484290544634936, 0.013651319196178895, 0.08354272341989365, -0.04707546535994589, 0.07528057741961375, 0.1931008321722758, -0.12608234673383234, 0.01480091446362551, 0.39834098370995413, -0.026014688657596707, 0.05052425132430706, 0.22193306801989482, -0.18350906859958524, -0.23800437315127132, 0.11876768523889604, 0.1334217076583468, 0.07654354030856882, -0.18913216835137495, 0.05653023962279513, -0.08783503033259173, 0.2246808053099925, 0.03349219095777989, 0.03256972485294532, 0.2824157081909247, 0.03515890564711899, 0.10463725752437238, 0.07860807457113082, -0.31333877016867023, 0.015345903914589818, -0.18118013635988242, -0.11451603696422324, -0.11444227445448182, 0.04208791404290451, -0.0554415412931571, -0.042603834472193396, 0.3538997565904997, 0.10538214861328915, 0.21768112743955068, 0.04773136234563804, 0.32208712231943903, -0.040400781078845, 0.11923598266235486, 0.09207332513016678, 0.3162800817529565, 0.1925536450886734, 0.08739163282989841, -0.15020767173768243, 0.05738392680134509, -0.006496733284949027] |
707.3244 | An exotic shuffle relation of $\zeta(\{2\}^m)$ and $\zeta(\{3,1\}^n)$ | In this short note we will provide a new and shorter proof of the following
exotic shuffle relation of multiple zeta values:
$$\zeta(\{2\}^m \sha\{3,1\}^n)={2n+m\choose m}
\frac{\pi^{4n+2m}}{(2n+1)\cdot (4n+2m+1)!}.$$ This was proved by Zagier when
n=0, by Broadhurst when $m=0$, and by Borwein, Bradley, and Broadhurst when
m=1. In general this was proved by Bowman and Bradley in \emph{The algebra and
combinatorics of shuffles and multiple zeta values}, J. of Combinatorial
Theory, Series A, Vol. \textbf{97} (1)(2002), 43--63. Our idea in the general
case is to use the method of Borwein et al. to reduce the above general
relation to some families of combinatorial identities which can be verified by
WZ-method.
| math.NT math.CO | in this short note we will provide a new and shorter proof of the following exotic shuffle relation of multiple zeta values zeta2m sha31n2nmchoose m fracpi4n2m2n1cdot 4n2m1 this was proved by zagier when n0 by broadhurst when m0 and by borwein bradley and broadhurst when m1 in general this was proved by bowman and bradley in emphthe algebra and combinatorics of shuffles and multiple zeta values j of combinatorial theory series a vol textbf97 12002 4363 our idea in the general case is to use the method of borwein et al to reduce the above general relation to some families of combinatorial identities which can be verified by wzmethod | [['in', 'this', 'short', 'note', 'we', 'will', 'provide', 'a', 'new', 'and', 'shorter', 'proof', 'of', 'the', 'following', 'exotic', 'shuffle', 'relation', 'of', 'multiple', 'zeta', 'values', 'zeta2m', 'sha31n2nmchoose', 'm', 'fracpi4n2m2n1cdot', '4n2m1', 'this', 'was', 'proved', 'by', 'zagier', 'when', 'n0', 'by', 'broadhurst', 'when', 'm0', 'and', 'by', 'borwein', 'bradley', 'and', 'broadhurst', 'when', 'm1', 'in', 'general', 'this', 'was', 'proved', 'by', 'bowman', 'and', 'bradley', 'in', 'emphthe', 'algebra', 'and', 'combinatorics', 'of', 'shuffles', 'and', 'multiple', 'zeta', 'values', 'j', 'of', 'combinatorial', 'theory', 'series', 'a', 'vol', 'textbf97', '12002', '4363', 'our', 'idea', 'in', 'the', 'general', 'case', 'is', 'to', 'use', 'the', 'method', 'of', 'borwein', 'et', 'al', 'to', 'reduce', 'the', 'above', 'general', 'relation', 'to', 'some', 'families', 'of', 'combinatorial', 'identities', 'which', 'can', 'be', 'verified', 'by', 'wzmethod']] | [-0.11899592015196547, 0.09501528537699154, -0.0936213513924962, 0.07380414587622952, -0.0863427066244185, -0.14483412226573342, 0.06579651418696379, 0.27669089024975185, -0.2697240221535876, -0.3285521469123307, 0.07595713726200518, -0.22860503920930483, -0.21221480644529775, 0.2114038388887864, -0.16730692119648058, 0.015865017054879683, 0.009099349281972363, -0.04011353180006457, -0.030024966927816248, -0.3412848605907389, 0.3249699860855582, 0.04261452224815176, 0.1834985624901795, 0.06126598038799351, 0.019151809969029966, 0.06418477653392723, -0.06577334422174663, -0.01834262939436095, -0.17423579903857206, 0.11437221326466118, 0.2556340552866459, 0.09740183209956046, 0.2654058068635918, -0.35372744610621815, -0.12797971666746197, 0.04941064764169, 0.12474028424670298, 0.05311501017616441, 0.015951429906168154, -0.2880269869430257, 0.13167820563623017, -0.1697715224254699, -0.11703277072824893, -0.058523748557837235, 0.14775789891857477, 0.04135895083170561, -0.2871190390416554, 0.06688796239683316, 0.1155362858392653, 0.10107907967730648, -0.012080361929145597, -0.1743799556279555, 0.01427265058404633, 0.03589407954825133, 0.02748690266162157, 0.05141538803332618, -0.026285086034996703, -0.05066690114326775, -0.14261441653860465, 0.293328428188605, -0.020989948151899234, -0.1478365189661937, 0.12394868504876892, -0.14168816116150645, -0.2054210527312188, 0.06914088262156362, 0.0302439755871005, 0.1625593753132437, -0.10930193875503305, 0.1460259367767278, -0.12590920719362442, 0.07976216936395282, 0.2089905095064924, -0.08330533363069186, 0.12908217119263662, 0.015427872913313054, -0.02699597966635511, 0.14583498769816722, -2.6207705516190756e-06, -0.026050276254370276, -0.25708160496294674, -0.2099380839793455, -0.17884256992311703, 0.10896716411003754, -0.06438674033935447, -0.09423681441694498, 0.33957479377942423, 0.10035021142324521, 0.16698355341241472, 0.08397218214591877, 0.18815430690800505, 0.12136769305160712, 0.011859371810264531, 0.06710584433084088, 0.16788410599969905, 0.21043547879061883, 0.10577564928680658, -0.14161536271816919, 0.012124424988204346, 0.20507551168668128] |
707.3245 | Electron transport in an open mesoscopic metallic ring | We study electron transport in a normal-metal ring modeled by the tight
binding lattice Hamiltonian, coupled to two electron reservoirs. First,
Buttiker's model of incorporating inelastic scattering, hence decoherence and
dissipation, has been extended by connecting each site of the open ring to
one-dimensional leads for uniform dephasing in the ring threaded by magnetic
flux. We show with this extension conductance remains symmetric under flux
reversal, and Aharonov-Bohm oscillations with changing magnetic flux reduce to
zero as a function of the decoherence parameter, thus indicating dephasing in
the ring. This extension enables us to find local chemical potential profiles
of the ring sites with changing magnetic flux and the decoherence parameter
analogously to the four probe measurement. The local electrochemical potential
oscillates in the ring sites because of quantum-interference effects. It
predicts that measured four-point resistance also fluctuates and even can be
negative. Then we point out the role of the closed ring's electronic
eigenstates in the persistent current around Fano antiresonances of an
asymmetric open ring for both ideal leads and tunnel barriers. Determining the
real eigenvalues of the non-Hermitian effective Hamiltonian of the ring, we
show that there exist discrete bound states in the continuum of scattering
states for the asymmetric ring even in the absence of magnetic flux. Our
approach involves quantum Langevin equations and non-equilibrium Green's
functions.
| cond-mat.mes-hall cond-mat.stat-mech | we study electron transport in a normalmetal ring modeled by the tight binding lattice hamiltonian coupled to two electron reservoirs first buttikers model of incorporating inelastic scattering hence decoherence and dissipation has been extended by connecting each site of the open ring to onedimensional leads for uniform dephasing in the ring threaded by magnetic flux we show with this extension conductance remains symmetric under flux reversal and aharonovbohm oscillations with changing magnetic flux reduce to zero as a function of the decoherence parameter thus indicating dephasing in the ring this extension enables us to find local chemical potential profiles of the ring sites with changing magnetic flux and the decoherence parameter analogously to the four probe measurement the local electrochemical potential oscillates in the ring sites because of quantuminterference effects it predicts that measured fourpoint resistance also fluctuates and even can be negative then we point out the role of the closed rings electronic eigenstates in the persistent current around fano antiresonances of an asymmetric open ring for both ideal leads and tunnel barriers determining the real eigenvalues of the nonhermitian effective hamiltonian of the ring we show that there exist discrete bound states in the continuum of scattering states for the asymmetric ring even in the absence of magnetic flux our approach involves quantum langevin equations and nonequilibrium greens functions | [['we', 'study', 'electron', 'transport', 'in', 'a', 'normalmetal', 'ring', 'modeled', 'by', 'the', 'tight', 'binding', 'lattice', 'hamiltonian', 'coupled', 'to', 'two', 'electron', 'reservoirs', 'first', 'buttikers', 'model', 'of', 'incorporating', 'inelastic', 'scattering', 'hence', 'decoherence', 'and', 'dissipation', 'has', 'been', 'extended', 'by', 'connecting', 'each', 'site', 'of', 'the', 'open', 'ring', 'to', 'onedimensional', 'leads', 'for', 'uniform', 'dephasing', 'in', 'the', 'ring', 'threaded', 'by', 'magnetic', 'flux', 'we', 'show', 'with', 'this', 'extension', 'conductance', 'remains', 'symmetric', 'under', 'flux', 'reversal', 'and', 'aharonovbohm', 'oscillations', 'with', 'changing', 'magnetic', 'flux', 'reduce', 'to', 'zero', 'as', 'a', 'function', 'of', 'the', 'decoherence', 'parameter', 'thus', 'indicating', 'dephasing', 'in', 'the', 'ring', 'this', 'extension', 'enables', 'us', 'to', 'find', 'local', 'chemical', 'potential', 'profiles', 'of', 'the', 'ring', 'sites', 'with', 'changing', 'magnetic', 'flux', 'and', 'the', 'decoherence', 'parameter', 'analogously', 'to', 'the', 'four', 'probe', 'measurement', 'the', 'local', 'electrochemical', 'potential', 'oscillates', 'in', 'the', 'ring', 'sites', 'because', 'of', 'quantuminterference', 'effects', 'it', 'predicts', 'that', 'measured', 'fourpoint', 'resistance', 'also', 'fluctuates', 'and', 'even', 'can', 'be', 'negative', 'then', 'we', 'point', 'out', 'the', 'role', 'of', 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707.3246 | Stepwise Quenching of Exciton Fluorescence in Carbon Nanotubes by Single
Molecule Reactions | Single-molecule chemical reactions with individual single-walled carbon
nanotubes were observed through near-infrared photoluminescence microscopy. The
emission intensity within distinct submicrometer segments of single nanotubes
changes in discrete steps after exposure to acid, base, or diazonium reactants.
The steps are uncorrelated in space and time, and reflect the quenching of
mobile excitons at localized sites of reversible or irreversible chemical
attack. Analysis of step amplitudes reveals an exciton diffusional range of
about 90 nanometers, independent of nanotube structure. Each exciton visits
approximately 104 atomic sites during its lifetime, providing highly efficient
sensing of local chemical and physical perturbations.
| physics.optics cond-mat.other | singlemolecule chemical reactions with individual singlewalled carbon nanotubes were observed through nearinfrared photoluminescence microscopy the emission intensity within distinct submicrometer segments of single nanotubes changes in discrete steps after exposure to acid base or diazonium reactants the steps are uncorrelated in space and time and reflect the quenching of mobile excitons at localized sites of reversible or irreversible chemical attack analysis of step amplitudes reveals an exciton diffusional range of about 90 nanometers independent of nanotube structure each exciton visits approximately 104 atomic sites during its lifetime providing highly efficient sensing of local chemical and physical perturbations | [['singlemolecule', 'chemical', 'reactions', 'with', 'individual', 'singlewalled', 'carbon', 'nanotubes', 'were', 'observed', 'through', 'nearinfrared', 'photoluminescence', 'microscopy', 'the', 'emission', 'intensity', 'within', 'distinct', 'submicrometer', 'segments', 'of', 'single', 'nanotubes', 'changes', 'in', 'discrete', 'steps', 'after', 'exposure', 'to', 'acid', 'base', 'or', 'diazonium', 'reactants', 'the', 'steps', 'are', 'uncorrelated', 'in', 'space', 'and', 'time', 'and', 'reflect', 'the', 'quenching', 'of', 'mobile', 'excitons', 'at', 'localized', 'sites', 'of', 'reversible', 'or', 'irreversible', 'chemical', 'attack', 'analysis', 'of', 'step', 'amplitudes', 'reveals', 'an', 'exciton', 'diffusional', 'range', 'of', 'about', '90', 'nanometers', 'independent', 'of', 'nanotube', 'structure', 'each', 'exciton', 'visits', 'approximately', '104', 'atomic', 'sites', 'during', 'its', 'lifetime', 'providing', 'highly', 'efficient', 'sensing', 'of', 'local', 'chemical', 'and', 'physical', 'perturbations']] | [-0.10350005665479574, 0.2166399980870318, 0.011853216796844583, -0.0379756158409813, 0.0599978433768313, -0.17130462428286058, 0.13632829068408625, 0.5126346270985824, -0.25918242013677184, -0.3021965771793513, -0.03543327897355037, -0.300997708242425, -0.054302360238411375, 0.10264709967755012, 0.046792097479709874, 0.004393888771241128, 0.07096712721857368, -0.058190907001226526, 0.02926837373044841, -0.21465624082286255, 0.17411440377574913, 0.08243746160692775, 0.301732067107559, 0.09099835572649062, 0.08358803699657168, 0.00488421488457273, -0.0021962522020198636, -0.07470848699869617, -0.1310559088201022, 0.09187891274444895, 0.2786814382006642, -0.02913062466668822, 0.2267420210169878, -0.5535139008665207, -0.22748553254593587, 0.04407199245479111, 0.19206000542863436, 0.1453596537563105, -0.014420658549217065, -0.27596504882592515, 0.02548376993352989, -0.043191992360906505, -0.08736547977500356, -0.010412551870704004, 0.07497496985513524, 0.04766333312007416, -0.20338811782445548, 0.12863951888578684, -0.030193925554355242, 0.13202162225941946, -0.12068953303279374, -0.10587475578883931, -0.0981384255712103, 0.127639248467905, 0.01724724930509464, -0.038810844499541, 0.3926591446296763, -0.02572013027773997, -0.10689545850048668, 0.3686206543814516, -0.0593383657510786, -0.03541971664616512, 0.18713589501327155, -0.14721300484631786, -0.10771822716234271, 0.26806237214465733, 0.08702096693726621, 0.15817849246842652, -0.19907635081914665, 0.0012879747730564594, 0.0761995046044287, 0.22127061325471042, 0.15651670696223444, 0.10786579054127418, 0.2556074815034175, 0.23636934716139257, 0.03653541056093635, 0.0835984125349325, -0.1399381873353874, -0.07804236805892174, -0.1775823831942278, -0.1886087146025996, -0.17405829248354607, 0.13341056676125443, -0.11514800207970842, -0.17439201990737743, 0.4192769777980278, 0.04316318015683174, 0.18196435226127505, -0.016021610000026748, 0.25373067107704494, 0.028363309983048857, 0.08345502410948123, -0.06661087161976575, 0.17524583457690693, 0.1605917717133332, 0.12758435706905635, -0.256826009270111, 0.10041775496330918, -0.042548340217200754] |
707.3247 | Cosmological Particle Creation in the Presence of Lorentz Violation | In recent years, the effects of Lorentz symmetry breaking in cosmology has
attracted considerable amount of attention. In cosmological context several
topics can be affected by Lorentz violation,e.g., inflationary scenario, CMB,
dark energy problem and barryogenesis. In this paper we consider the
cosmological particle creation due to Lorentz violation (LV). We consider an
exactly solvable model for finding the spectral properties of particle creation
in an expanding space-time exhibiting Lorentz violation. In this model we
calculate the spectrum and its variations with respect to the rate and the
amount of space-time expansion.
| hep-ph | in recent years the effects of lorentz symmetry breaking in cosmology has attracted considerable amount of attention in cosmological context several topics can be affected by lorentz violationeg inflationary scenario cmb dark energy problem and barryogenesis in this paper we consider the cosmological particle creation due to lorentz violation lv we consider an exactly solvable model for finding the spectral properties of particle creation in an expanding spacetime exhibiting lorentz violation in this model we calculate the spectrum and its variations with respect to the rate and the amount of spacetime expansion | [['in', 'recent', 'years', 'the', 'effects', 'of', 'lorentz', 'symmetry', 'breaking', 'in', 'cosmology', 'has', 'attracted', 'considerable', 'amount', 'of', 'attention', 'in', 'cosmological', 'context', 'several', 'topics', 'can', 'be', 'affected', 'by', 'lorentz', 'violationeg', 'inflationary', 'scenario', 'cmb', 'dark', 'energy', 'problem', 'and', 'barryogenesis', 'in', 'this', 'paper', 'we', 'consider', 'the', 'cosmological', 'particle', 'creation', 'due', 'to', 'lorentz', 'violation', 'lv', 'we', 'consider', 'an', 'exactly', 'solvable', 'model', 'for', 'finding', 'the', 'spectral', 'properties', 'of', 'particle', 'creation', 'in', 'an', 'expanding', 'spacetime', 'exhibiting', 'lorentz', 'violation', 'in', 'this', 'model', 'we', 'calculate', 'the', 'spectrum', 'and', 'its', 'variations', 'with', 'respect', 'to', 'the', 'rate', 'and', 'the', 'amount', 'of', 'spacetime', 'expansion']] | [-0.12902492149215605, 0.1551958818405789, -0.040315006647465956, 0.05800086921857049, -0.10022679058214029, -0.0920747354781876, -0.041762435569479645, 0.34059683101044763, -0.25165815978414485, -0.32695441709430373, 0.056540344254527655, -0.2635034857317805, -0.08366636151654852, 0.1460845018374837, -0.05545796118676662, 0.03283113726453545, -0.014552752445969317, 0.018588473171823553, -0.07987576531660226, -0.24711723147581022, 0.3060719320550561, 0.14152247402817011, 0.276705929173881, 0.05510282103075749, 0.06964726885780692, -0.04415104102291581, -0.08283046739589837, 0.028818979362646737, -0.14550144309954097, 0.09333724728656105, 0.15154401268292633, 0.13273405839378635, 0.22146387967643225, -0.4260779848115312, -0.28643488926399086, 0.21196738099679352, 0.136642079665843, 0.1648015595062235, -0.11180616405068172, -0.30191923080840044, -0.010215729847550392, -0.2318707319597403, -0.14003866592215167, -0.036474764472546266, 0.04927560575306415, -0.09840375767606828, -0.2237721709224085, 0.15767115126881334, 0.003954851156514552, 0.008307981877320951, -0.04134047675179318, 0.005733848844344417, 0.038242057444424264, 0.02302476724402772, 0.1791156428736738, -0.001745661896549993, 0.11729296002562882, -0.189880230013902, -0.1218165590841737, 0.49085840978142287, -0.07219958840351966, -0.1883603044707949, 0.1181239907319347, -0.17802497283038166, -0.19110676885272065, 0.09159802553864817, 0.19638418601308433, 0.05994246195898288, -0.154050571217926, 0.1980127329866971, -0.016354509360260432, 0.12779457752799822, 0.09457473531365394, 0.0807529563498166, 0.264566357102659, 0.11707129124552011, 0.04652629318750567, 0.13294112218621498, -0.06277802440130877, -0.10065139078845581, -0.34007018357515334, -0.1218069404984514, -0.16611034696300825, 0.0692049394775596, -0.10105541884436711, -0.10819268782830073, 0.4249614814503325, 0.14757250759026241, 0.18768821351437104, -0.018705007506327496, 0.2292568311560899, 0.09661241494533089, 0.04393766357873877, 0.06626802307243149, 0.29516393556259574, 0.10494474730609606, 0.12192863981342977, -0.27280307445261215, 0.001467850753882279, 0.057046789717343116] |
707.3248 | Decentralized sequential change detection using physical layer fusion | The problem of decentralized sequential detection with conditionally
independent observations is studied. The sensors form a star topology with a
central node called fusion center as the hub. The sensors make noisy
observations of a parameter that changes from an initial state to a final state
at a random time where the random change time has a geometric distribution. The
sensors amplify and forward the observations over a wireless Gaussian multiple
access channel and operate under either a power constraint or an energy
constraint. The optimal transmission strategy at each stage is shown to be the
one that maximizes a certain Ali-Silvey distance between the distributions for
the hypotheses before and after the change. Simulations demonstrate that the
proposed analog technique has lower detection delays when compared with
existing schemes. Simulations further demonstrate that the energy-constrained
formulation enables better use of the total available energy than the
power-constrained formulation in the change detection problem.
| cs.IT math.IT | the problem of decentralized sequential detection with conditionally independent observations is studied the sensors form a star topology with a central node called fusion center as the hub the sensors make noisy observations of a parameter that changes from an initial state to a final state at a random time where the random change time has a geometric distribution the sensors amplify and forward the observations over a wireless gaussian multiple access channel and operate under either a power constraint or an energy constraint the optimal transmission strategy at each stage is shown to be the one that maximizes a certain alisilvey distance between the distributions for the hypotheses before and after the change simulations demonstrate that the proposed analog technique has lower detection delays when compared with existing schemes simulations further demonstrate that the energyconstrained formulation enables better use of the total available energy than the powerconstrained formulation in the change detection problem | [['the', 'problem', 'of', 'decentralized', 'sequential', 'detection', 'with', 'conditionally', 'independent', 'observations', 'is', 'studied', 'the', 'sensors', 'form', 'a', 'star', 'topology', 'with', 'a', 'central', 'node', 'called', 'fusion', 'center', 'as', 'the', 'hub', 'the', 'sensors', 'make', 'noisy', 'observations', 'of', 'a', 'parameter', 'that', 'changes', 'from', 'an', 'initial', 'state', 'to', 'a', 'final', 'state', 'at', 'a', 'random', 'time', 'where', 'the', 'random', 'change', 'time', 'has', 'a', 'geometric', 'distribution', 'the', 'sensors', 'amplify', 'and', 'forward', 'the', 'observations', 'over', 'a', 'wireless', 'gaussian', 'multiple', 'access', 'channel', 'and', 'operate', 'under', 'either', 'a', 'power', 'constraint', 'or', 'an', 'energy', 'constraint', 'the', 'optimal', 'transmission', 'strategy', 'at', 'each', 'stage', 'is', 'shown', 'to', 'be', 'the', 'one', 'that', 'maximizes', 'a', 'certain', 'alisilvey', 'distance', 'between', 'the', 'distributions', 'for', 'the', 'hypotheses', 'before', 'and', 'after', 'the', 'change', 'simulations', 'demonstrate', 'that', 'the', 'proposed', 'analog', 'technique', 'has', 'lower', 'detection', 'delays', 'when', 'compared', 'with', 'existing', 'schemes', 'simulations', 'further', 'demonstrate', 'that', 'the', 'energyconstrained', 'formulation', 'enables', 'better', 'use', 'of', 'the', 'total', 'available', 'energy', 'than', 'the', 'powerconstrained', 'formulation', 'in', 'the', 'change', 'detection', 'problem']] | [-0.1334371748524931, 0.08152127701327284, -0.09900792479953345, -0.00044839907577565684, -0.05629429810077829, -0.16654713781477481, 0.0798538179925089, 0.36731537505588646, -0.2950916155424042, -0.28995918558630485, 0.12479129573862903, -0.2584749396732138, -0.10777210342709974, 0.1638883389882573, -0.06107024656413915, 0.054095733801231664, 0.11075986806285001, 0.1018923861796365, -0.05983676863042942, -0.22340284084012502, 0.2797066589050433, 0.1235805789276568, 0.3338533704613451, 0.0012850392434070363, 0.1432609775436896, 0.03595336185451719, -0.01665968863670927, 0.0031295252653459706, -0.08930158278896486, 0.06141377695547181, 0.24362473139612406, 0.1410536012597351, 0.3177903187582939, -0.4311198198717404, -0.26134438990779657, 0.12926806602018331, 0.1005757819568994, 0.08143776338669209, -0.04301441334541035, -0.2675779975731583, 0.1049737461714768, -0.1833423825309557, -0.06883612244688218, 0.028764322582705348, -0.004090709995259257, 0.021735912711615218, -0.34399914485782845, 0.03096262333622458, 0.0036640279877663048, -0.01613552022262726, -0.08384239512915705, -0.06413180593194233, -0.0025578503606512267, 0.13043574405338743, 0.0013326660964297118, 0.02855611976321324, 0.14770841571423254, -0.1256372043954245, -0.1403351066561014, 0.3436580445751353, -0.032074540904194294, -0.2043325097294025, 0.16371906263444852, -0.08228198861021524, -0.12726603787079654, 0.1549262737039647, 0.1818543139759914, 0.11760225946394105, -0.1410461677641804, 0.02620542724350516, -0.02501317656605072, 0.17751387696640164, 0.04587449717603234, 0.05348187439247138, 0.18997108546736974, 0.16707074070452815, 0.16019524116483, 0.1302431712278585, -0.1634366264185576, -0.10480347438867575, -0.25724576853612874, -0.11342594574747328, -0.21347505833004035, 0.024087915203101884, -0.1049935817350428, -0.10292844191628045, 0.36856126319464855, 0.14198911207228948, 0.22725691409398088, 0.07601167655738643, 0.36325963520828414, 0.1244136764412271, 0.06055709793007159, 0.10372108731303194, 0.22325357828849282, 0.10532931343719266, 0.10764873581953663, -0.20356082668059255, 0.12078137682702124, -0.013503566913891072] |
707.3249 | Effect of a fluctuating parameter mismatch in coupled R\"{o}ssler
systems | This paper is concerned with the effect of parameter fluctuations with a
characteristic waiting time in coupled R\"{o}ssler oscillators. We show that
the averaged error in synchronization that is introduced due to a fluctuating
parameter is proportional to the waiting time and the amplitude of the
fluctuations. It is also shown that coupling strength beyond a threshold value
does not have any significant effect on improving the quality of
synchronization when the fluctuations posses considerable waiting time.
| nlin.CD | this paper is concerned with the effect of parameter fluctuations with a characteristic waiting time in coupled rossler oscillators we show that the averaged error in synchronization that is introduced due to a fluctuating parameter is proportional to the waiting time and the amplitude of the fluctuations it is also shown that coupling strength beyond a threshold value does not have any significant effect on improving the quality of synchronization when the fluctuations posses considerable waiting time | [['this', 'paper', 'is', 'concerned', 'with', 'the', 'effect', 'of', 'parameter', 'fluctuations', 'with', 'a', 'characteristic', 'waiting', 'time', 'in', 'coupled', 'rossler', 'oscillators', 'we', 'show', 'that', 'the', 'averaged', 'error', 'in', 'synchronization', 'that', 'is', 'introduced', 'due', 'to', 'a', 'fluctuating', 'parameter', 'is', 'proportional', 'to', 'the', 'waiting', 'time', 'and', 'the', 'amplitude', 'of', 'the', 'fluctuations', 'it', 'is', 'also', 'shown', 'that', 'coupling', 'strength', 'beyond', 'a', 'threshold', 'value', 'does', 'not', 'have', 'any', 'significant', 'effect', 'on', 'improving', 'the', 'quality', 'of', 'synchronization', 'when', 'the', 'fluctuations', 'posses', 'considerable', 'waiting', 'time']] | [-0.20883641486183147, 0.2003956280237475, -0.08782907612863686, 0.040960023637752155, -0.019058082301121253, -0.11675909031545381, 0.05241849670313637, 0.3264395127605115, -0.23227778524644188, -0.28677278621630237, 0.07253008979590392, -0.2690314472979539, -0.1653761345554482, 0.16726857682617455, -0.07461369196073962, 0.038658795999242115, 0.03067762226277551, 0.09460342656095307, -0.037868113684855015, -0.2393984236125532, 0.28120947256684303, 0.11667644642535355, 0.3285461285744201, 0.06894056023062244, 0.09327485399054629, -0.03445454669946974, 0.029989293667596655, 0.059349030945691966, -0.11510712681056602, -0.028377527479904813, 0.19041804313756427, 0.019334866465734585, 0.33059760162534263, -0.3962076554413546, -0.21740901761676196, 0.20422944656343428, 0.160362457251781, 0.12292612922172268, -0.02103932962644023, -0.2522912502240438, 0.03192177215929736, -0.1379285051166866, -0.11086990961248612, -0.031566266218418036, 0.10010576390891106, 0.06622751210755728, -0.28462549765267736, 0.11730882410200422, 0.0644353274255991, 0.018429257786022377, -0.021586674580036047, -0.038076481056194024, -0.002121609188132472, 0.12480256391890263, 0.11330753824198861, 0.04412226528292159, 0.10934765552859996, -0.10099975194165169, -0.07012750314209949, 0.3508789511155579, -0.10313132404071557, -0.22333603368939034, 0.13370057479659844, -0.16717454534652945, -0.1067689974102881, 0.1697305023984669, 0.16492268588248785, 0.048787433484738525, -0.12031486506257115, 0.07010527876698618, 0.04088595545209654, 0.2643318949388219, 0.028159502373597066, 0.061723666017657365, 0.13988887695535146, 0.1939091178642997, 0.08087988996382367, 0.12308866160849181, -0.08330696702378428, -0.14702467824779936, -0.28583505045767726, -0.109729638468329, -0.20508573195812377, 0.05071122326163194, -0.08904281706687565, -0.1605950697796123, 0.42285704540161345, 0.2159604278284234, 0.18595939451320606, 0.10482574610475015, 0.2840962077267226, 0.19642641356626114, 0.07507165543154462, 0.08591088063579488, 0.27836508898959533, 0.09824621658046524, 0.11395607863903626, -0.3064396922754777, 0.1319226062045487, -0.011593871520130665] |
707.325 | Thermalization of a nonequilibrium electron-positron-photon plasma | Starting from a nonequilibrium configuration we analyse the essential role of
the direct and the inverse binary and triple interactions in reaching an
asymptotic thermal equilibrium in a homogeneous isotropic
electron-positron-photon plasma. We focus on energies in the range 0.1--10 MeV.
We numerically integrate the integro-partial differential relativistic
Boltzmann equation with the exact QED collisional integrals taking into account
all binary and triple interactions in the plasma. We show that first, when
detailed balance is reached for all binary interactions on a timescale
$t_{k}\lesssim10^{-14}$sec, photons and electron-positron pairs establish
kinetic equilibrium. Successively, when triple interactions fulfill the
detailed balance on a timescale $t_{eq}\lesssim10^{-12}$sec, the plasma reaches
thermal equilibrium. It is shown that neglecting the inverse triple
interactions prevents reaching thermal equilibrium. Our results obtained in the
theoretical physics domain also find application in astrophysics and cosmology.
| physics.plasm-ph astro-ph gr-qc | starting from a nonequilibrium configuration we analyse the essential role of the direct and the inverse binary and triple interactions in reaching an asymptotic thermal equilibrium in a homogeneous isotropic electronpositronphoton plasma we focus on energies in the range 0110 mev we numerically integrate the integropartial differential relativistic boltzmann equation with the exact qed collisional integrals taking into account all binary and triple interactions in the plasma we show that first when detailed balance is reached for all binary interactions on a timescale t_klesssim1014sec photons and electronpositron pairs establish kinetic equilibrium successively when triple interactions fulfill the detailed balance on a timescale t_eqlesssim1012sec the plasma reaches thermal equilibrium it is shown that neglecting the inverse triple interactions prevents reaching thermal equilibrium our results obtained in the theoretical physics domain also find application in astrophysics and cosmology | [['starting', 'from', 'a', 'nonequilibrium', 'configuration', 'we', 'analyse', 'the', 'essential', 'role', 'of', 'the', 'direct', 'and', 'the', 'inverse', 'binary', 'and', 'triple', 'interactions', 'in', 'reaching', 'an', 'asymptotic', 'thermal', 'equilibrium', 'in', 'a', 'homogeneous', 'isotropic', 'electronpositronphoton', 'plasma', 'we', 'focus', 'on', 'energies', 'in', 'the', 'range', '0110', 'mev', 'we', 'numerically', 'integrate', 'the', 'integropartial', 'differential', 'relativistic', 'boltzmann', 'equation', 'with', 'the', 'exact', 'qed', 'collisional', 'integrals', 'taking', 'into', 'account', 'all', 'binary', 'and', 'triple', 'interactions', 'in', 'the', 'plasma', 'we', 'show', 'that', 'first', 'when', 'detailed', 'balance', 'is', 'reached', 'for', 'all', 'binary', 'interactions', 'on', 'a', 'timescale', 't_klesssim1014sec', 'photons', 'and', 'electronpositron', 'pairs', 'establish', 'kinetic', 'equilibrium', 'successively', 'when', 'triple', 'interactions', 'fulfill', 'the', 'detailed', 'balance', 'on', 'a', 'timescale', 't_eqlesssim1012sec', 'the', 'plasma', 'reaches', 'thermal', 'equilibrium', 'it', 'is', 'shown', 'that', 'neglecting', 'the', 'inverse', 'triple', 'interactions', 'prevents', 'reaching', 'thermal', 'equilibrium', 'our', 'results', 'obtained', 'in', 'the', 'theoretical', 'physics', 'domain', 'also', 'find', 'application', 'in', 'astrophysics', 'and', 'cosmology']] | [-0.12531569604362264, 0.163228652281135, -0.09759814986905235, 0.11923567656907183, -0.024426414661931305, -0.08722330734773136, 0.024439934031245534, 0.33780466884708227, -0.26038244187331466, -0.28570568377548244, 0.019904609472463048, -0.289395107338622, -0.039171234287543974, 0.18637349120855554, 0.09620917025161212, 0.028456057863198776, 0.12899583467775816, 0.004850102458218697, -0.04801795862392703, -0.16722682987621276, 0.32779761813859, 0.09358092888828311, 0.22591709412300764, 0.09373224554444427, 0.12421183255779099, 0.04478435879295219, -0.006829207585846532, 0.0035969316681374367, -0.1712037493618563, -0.00023463811836580732, 0.2021877503286658, 0.02235305707366553, 0.2356472147920572, -0.46101494619984235, -0.20525729205935442, 0.08228642137985287, 0.12906971325534883, 0.09913792380534892, -0.048178613714095375, -0.2133223902592227, 0.010627381510532169, -0.19655557497710324, -0.13969805581606368, -0.05733071865666824, 0.03009272968299242, 0.0238285097736629, -0.28455729031963134, 0.09004785004918943, 0.0805583305782013, 0.012229948360194911, -0.12151208521890343, -0.10609845851492415, -0.03106724943595577, 0.08584970857734348, -0.015396780462991169, -0.027258378578655755, 0.15486676874744304, -0.1456658831039972, -0.06670079952272684, 0.40043709195851446, -0.05811659434077038, -0.14841619262527397, 0.20384939002401348, -0.17077757469673793, -0.12889250984012302, 0.16719792054187674, 0.14293078268502854, 0.09804550791854288, -0.18549545699102393, 0.09757972510015495, 0.009125281066230652, 0.1386156634465833, 0.04528116783015986, 0.002888439677537544, 0.2601727729319219, 0.17833373110929032, 0.009028365988451154, 0.1562230523428949, -0.05724213314381665, -0.17461147532562044, -0.3001776761027859, -0.11405804699352845, -0.12097041996077759, 0.11143675046180611, -0.08874828588582816, -0.1496700626151174, 0.3370522556360811, 0.17019796385707806, 0.1581082635762434, -0.0037149110906270905, 0.2881524842232466, 0.15633700370750347, -0.020468739570299193, 0.07769729962933865, 0.3492887201063064, 0.1565090256409525, 0.11860790345887307, -0.2715585785553054, 0.0029482582354667915, 0.06411460073275575] |
707.3251 | Picard-graded Betti numbers and the defining ideals of Cox rings | Let X be a smooth projective variety with torsion-free Picard group. We
introduce complexes of vector spaces whose homology determines the structure of
the minimal free resolution of the Cox ring of X over the polynomial ring and
show how the homology of these complexes can be studied by purely geometric
methods. As an application of these techniques we give a simple new proof of a
characterization of the Cox rings of Del Pezzo surfaces (of degree >1)
conjectured by Batyrev and Popov.
| math.AG math.AC | let x be a smooth projective variety with torsionfree picard group we introduce complexes of vector spaces whose homology determines the structure of the minimal free resolution of the cox ring of x over the polynomial ring and show how the homology of these complexes can be studied by purely geometric methods as an application of these techniques we give a simple new proof of a characterization of the cox rings of del pezzo surfaces of degree 1 conjectured by batyrev and popov | [['let', 'x', 'be', 'a', 'smooth', 'projective', 'variety', 'with', 'torsionfree', 'picard', 'group', 'we', 'introduce', 'complexes', 'of', 'vector', 'spaces', 'whose', 'homology', 'determines', 'the', 'structure', 'of', 'the', 'minimal', 'free', 'resolution', 'of', 'the', 'cox', 'ring', 'of', 'x', 'over', 'the', 'polynomial', 'ring', 'and', 'show', 'how', 'the', 'homology', 'of', 'these', 'complexes', 'can', 'be', 'studied', 'by', 'purely', 'geometric', 'methods', 'as', 'an', 'application', 'of', 'these', 'techniques', 'we', 'give', 'a', 'simple', 'new', 'proof', 'of', 'a', 'characterization', 'of', 'the', 'cox', 'rings', 'of', 'del', 'pezzo', 'surfaces', 'of', 'degree', '1', 'conjectured', 'by', 'batyrev', 'and', 'popov']] | [-0.19519670496144928, 0.005218731033432028, -0.12966142032093492, 0.05255647534392325, -0.0379939548424389, -0.16185134737359652, -0.05010219844456493, 0.33296725509059893, -0.3710150517556951, -0.22495569734755588, 0.08460640948804388, -0.16918906525719957, -0.1592339207867093, 0.1989630811724318, -0.1911988436210766, -0.057240087426750054, -0.009812244194481208, 0.05929001207541989, -0.09265763827610805, -0.37084209975640636, 0.41242009441716126, 0.015602839863803014, 0.1690156675415136, 0.08089863635874521, 0.16202982933630786, 0.05015411738485816, -0.01824931091213801, 0.012521422757060233, -0.21371250071125217, 0.19017312716109208, 0.3099887713436486, 0.0624538563999785, 0.15921274830968715, -0.4057544479258807, -0.17131354505510396, 0.2025219245353736, 0.10569523953193102, 0.010022491988086378, -0.009063589655940073, -0.2577980686798243, 0.12566804653033614, -0.1792783750915768, -0.19125822566012032, -0.11397519677383713, 0.03590808046914368, 0.09935211353228394, -0.1965663227377493, -0.038906910288405705, 0.08844597696001272, 0.19006702826773547, 0.0011397814322038587, -0.08637417827070837, -0.08264065995049405, 0.023393994023327726, -0.055245688555380666, 0.019040341735873597, 0.10142704657088202, -0.09612071406410401, -0.18285275890536787, 0.3487544843186456, -0.09082165155110948, -0.18766374441694064, 0.14951787491789065, -0.16233764364417777, -0.09821212808994284, 0.1995338200625167, 0.07954298521964306, 0.23256848480956382, 0.0011437378861627217, 0.2144525612645547, -0.1401762544704848, 0.07770289240562055, 0.09915891551154565, -0.034679966417691076, 0.14809819119309175, 0.1204946939889566, 0.08530698621895232, 0.09944429520464289, -0.0537459197431713, 0.00702041679087196, -0.35461100234638854, -0.225297969956714, -0.13731716217540474, 0.1811168344736279, -0.12269875494144711, -0.16867688639336323, 0.4297814116061452, -0.005524881279477513, 0.20799666939370604, 0.09344872628361077, 0.212426212425512, -0.02376183278505208, 0.03030444447130683, 0.0009591442319643067, 0.08144844895795392, 0.2387548646025629, -0.07677223426374012, -0.132014532563703, 0.00012667905763689294, 0.21952253913910813] |
707.3252 | Inverse scattering in multimode structures | We consider the inverse scattering problem associated with any number of
interacting modes in one-dimensional structures. The coupling between the modes
is contradirectional in addition to codirectional, and may be distributed
continuously or in discrete points. The local coupling as a function of
position is obtained from reflection data using a layer-stripping type method,
and the separate identification of the contradirectional and codirectional
coupling is obtained using matrix factorization. Ambiguities are discussed in
detail, and different {\it a priori} information that can resolve the
ambiguities is suggested. The method is exemplified by applications to
multimode optical waveguides with quasi-periodical perturbations.
| math-ph math.MP | we consider the inverse scattering problem associated with any number of interacting modes in onedimensional structures the coupling between the modes is contradirectional in addition to codirectional and may be distributed continuously or in discrete points the local coupling as a function of position is obtained from reflection data using a layerstripping type method and the separate identification of the contradirectional and codirectional coupling is obtained using matrix factorization ambiguities are discussed in detail and different it a priori information that can resolve the ambiguities is suggested the method is exemplified by applications to multimode optical waveguides with quasiperiodical perturbations | [['we', 'consider', 'the', 'inverse', 'scattering', 'problem', 'associated', 'with', 'any', 'number', 'of', 'interacting', 'modes', 'in', 'onedimensional', 'structures', 'the', 'coupling', 'between', 'the', 'modes', 'is', 'contradirectional', 'in', 'addition', 'to', 'codirectional', 'and', 'may', 'be', 'distributed', 'continuously', 'or', 'in', 'discrete', 'points', 'the', 'local', 'coupling', 'as', 'a', 'function', 'of', 'position', 'is', 'obtained', 'from', 'reflection', 'data', 'using', 'a', 'layerstripping', 'type', 'method', 'and', 'the', 'separate', 'identification', 'of', 'the', 'contradirectional', 'and', 'codirectional', 'coupling', 'is', 'obtained', 'using', 'matrix', 'factorization', 'ambiguities', 'are', 'discussed', 'in', 'detail', 'and', 'different', 'it', 'a', 'priori', 'information', 'that', 'can', 'resolve', 'the', 'ambiguities', 'is', 'suggested', 'the', 'method', 'is', 'exemplified', 'by', 'applications', 'to', 'multimode', 'optical', 'waveguides', 'with', 'quasiperiodical', 'perturbations']] | [-0.14904018852859735, 0.1353179259132594, -0.06085258703213185, 0.026160908594029024, -0.07881298087537289, -0.1486378741869703, -0.003209552504122257, 0.4024998614564538, -0.30554044228047134, -0.27807275116443636, 0.11882377688772977, -0.2778585225064307, -0.1473151780408807, 0.1827961312350817, -0.02064006852917373, 0.05010093609802425, 0.036261311207781546, 0.01333072543144226, -0.0608717966102995, -0.14069567096186802, 0.3392434153810609, 0.007207836033776402, 0.2652229209803045, 0.02172313071321696, 0.07938524141092784, 0.03666318546514958, -0.03395519775338471, 0.025228868890553712, -0.0526077560804697, 0.09472953334334307, 0.23735024201727356, 0.04452013961970806, 0.22379509043181314, -0.4015568190999329, -0.22217092595994473, 0.09286659909412265, 0.16728403589164373, 0.13224998052231968, -0.041131892022676766, -0.30547544814646244, 0.043211108066607266, -0.11294270794838666, -0.13920921019744129, -0.04222477339906618, -0.016307610291987656, 0.030919733690097928, -0.29703084092587234, 0.09650471489876508, 0.001390340211801231, 0.01397279059048742, -0.0427863262523897, -0.05094816308934241, -0.024422574937343598, 0.10258086904650554, 0.03488072805223055, -0.014163397232769057, 0.0883129241783172, -0.09881314010126516, -0.12656415902543813, 0.38121957836672665, -0.054849713731091466, -0.2410938591719605, 0.1858750225417316, -0.09791745953727514, -0.06564403981901705, 0.12541804966051132, 0.14870392047800124, 0.0971583690494299, -0.14901385220699012, 0.08752040916820988, -0.01962387830018997, 0.16481791714875726, 0.08380866895895452, 0.055684805153869095, 0.19012523000128567, 0.14198896821588278, 0.02002710315224249, 0.1572678769833874, -0.08907343834813218, -0.05973324052989483, -0.28848906874656677, -0.11358609283168335, -0.19931596744805574, 0.0052802190463989975, -0.0775471685262164, -0.13439871731679887, 0.37602905634790657, 0.11431703724549153, 0.21309811647981405, -0.022445546456146985, 0.2823495928570628, 0.17048672782373614, 0.08637543050572276, 0.05863411102909595, 0.2661394678801298, 0.16840174136217684, 0.06718069089343771, -0.24286500917980447, 0.004169540093280375, 0.037699575026053936] |
707.3253 | Jet Riemann-Lagrange Geometry Applied to Evolution DEs Systems from
Economy | The aim of this paper is to construct a natural Riemann-Lagrange differential
geometry on 1-jet spaces, in the sense of nonlinear connections, generalized
Cartan connections, d-torsions, d-curvatures, jet electromagnetic fields and
jet Yang-Mills energies, starting from some given non-linear evolution DEs
systems modelling economic phenomena, like the Kaldor model of the bussines
cycle or the Tobin-Benhabib-Miyao model regarding the role of money on economic
growth.
| math.DG math.DS | the aim of this paper is to construct a natural riemannlagrange differential geometry on 1jet spaces in the sense of nonlinear connections generalized cartan connections dtorsions dcurvatures jet electromagnetic fields and jet yangmills energies starting from some given nonlinear evolution des systems modelling economic phenomena like the kaldor model of the bussines cycle or the tobinbenhabibmiyao model regarding the role of money on economic growth | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'construct', 'a', 'natural', 'riemannlagrange', 'differential', 'geometry', 'on', '1jet', 'spaces', 'in', 'the', 'sense', 'of', 'nonlinear', 'connections', 'generalized', 'cartan', 'connections', 'dtorsions', 'dcurvatures', 'jet', 'electromagnetic', 'fields', 'and', 'jet', 'yangmills', 'energies', 'starting', 'from', 'some', 'given', 'nonlinear', 'evolution', 'des', 'systems', 'modelling', 'economic', 'phenomena', 'like', 'the', 'kaldor', 'model', 'of', 'the', 'bussines', 'cycle', 'or', 'the', 'tobinbenhabibmiyao', 'model', 'regarding', 'the', 'role', 'of', 'money', 'on', 'economic', 'growth']] | [-0.13881697986395128, 0.07017176108615052, -0.10246997657081773, 0.1414654905111679, -0.14365060582396486, -0.08518539569641073, -0.0634680939519087, 0.30002673987990186, -0.2843864192630375, -0.24982509395528224, 0.087583962022402, -0.2688950108394267, -0.2129703681923509, 0.17941401621341826, -0.10752628120263258, 0.037398462168752186, 0.03579639279914479, 0.016927832106669104, -0.046998040690537424, -0.19635690364145464, 0.4050305791860146, 0.07983043426347355, 0.25089070979025097, 0.006468664937147556, 0.17731260170318908, 0.009842934928113414, -0.07441305839306404, -0.0015583212877954206, -0.16682185104957992, 0.1478507273995708, 0.25235642727103924, 0.10248319225971617, 0.2597305062076738, -0.45069239581484466, -0.2045008273975503, 0.11260588771303094, 0.05945051648473788, 0.039821343436356516, -0.0035680769003867624, -0.2480784831268172, -0.013907586720081107, -0.18857888272032142, -0.15023528755785176, -0.02410824925849034, -0.0018871704702295602, 0.04045546244578286, -0.1913432373154548, 0.045383221229478236, 0.07579824776997068, 0.08694167680016929, -0.07149045444243858, -0.04217832798378602, -0.10041225811226233, 0.056806318209348845, 0.06004773154704561, 0.043980193489621726, 0.14448554663648527, -0.17158918393280118, -0.16788451502948337, 0.39790386952940493, -0.009613442234694958, -0.20887237119548505, 0.16629856997620193, -0.1339713089138029, -0.16714390033044882, 0.07050275452615272, 0.2426248066382663, 0.07140266216705524, -0.10060321254235122, 0.13265479728485638, -0.013551512365079215, 0.0818220327801687, 0.08503418220507522, 0.041005078973549026, 0.18954535707410786, 0.14599900581543485, 0.040203196770181096, 0.0593371604148659, 0.018372203268471263, -0.15607765853506392, -0.3560855576558219, -0.16445353504029975, -0.05509103549599287, 0.14616686084322753, -0.12542950730130542, -0.17005024261532292, 0.40169713291670045, 0.08085729797641115, 0.14971732156306145, 0.03989900489367785, 0.21883697372170224, 0.05616719574637471, -0.010801570623316952, 0.06315024575639155, 0.23407161586792133, 0.22704173857346177, 0.1862390243087805, -0.20001916129577665, 0.04013664164249935, 0.14236384891949955] |
707.3254 | Global well-posedness and scattering for the energy-critical, defocusing
Hartree equation in $\mathbb{R}^{1+n}$ | Using the same induction on energy argument in both frequency space and
spatial space simultaneously as in \cite{CKSTT07}, \cite{RyV05} and
\cite{Vi05}, we obtain global well-posedness and scattering of energy solutions
of defocusing energy-critical nonlinear Hartree equation in $\mathbb{R}\times
\mathbb{R}^n$($n\geq 5$), which removes the radial assumption on the data in
\cite{MiXZ07a}. The new ingredients are that we use a modified long time
perturbation theory to obtain the frequency localization (Proposition
\ref{freqdelocaimplystbound} and Corollary \ref{frequencylocalization}) of the
minimal energy blow up solutions, which can not be obtained from the classical
long time perturbation and bilinear estimate and that we obtain the spatial
concentration of minimal energy blow up solution after proving that
$L^{\frac{2n}{n-2}}_x$-norm of minimal energy blow up solutions is bounded from
below, the $L^{\frac{2n}{n-2}}_x$-norm is larger than the potential energy.
| math.AP math-ph math.MP | using the same induction on energy argument in both frequency space and spatial space simultaneously as in citeckstt07 citeryv05 and citevi05 we obtain global wellposedness and scattering of energy solutions of defocusing energycritical nonlinear hartree equation in mathbbrtimes mathbbrnngeq 5 which removes the radial assumption on the data in citemixz07a the new ingredients are that we use a modified long time perturbation theory to obtain the frequency localization proposition reffreqdelocaimplystbound and corollary reffrequencylocalization of the minimal energy blow up solutions which can not be obtained from the classical long time perturbation and bilinear estimate and that we obtain the spatial concentration of minimal energy blow up solution after proving that lfrac2nn2_xnorm of minimal energy blow up solutions is bounded from below the lfrac2nn2_xnorm is larger than the potential energy | [['using', 'the', 'same', 'induction', 'on', 'energy', 'argument', 'in', 'both', 'frequency', 'space', 'and', 'spatial', 'space', 'simultaneously', 'as', 'in', 'citeckstt07', 'citeryv05', 'and', 'citevi05', 'we', 'obtain', 'global', 'wellposedness', 'and', 'scattering', 'of', 'energy', 'solutions', 'of', 'defocusing', 'energycritical', 'nonlinear', 'hartree', 'equation', 'in', 'mathbbrtimes', 'mathbbrnngeq', '5', 'which', 'removes', 'the', 'radial', 'assumption', 'on', 'the', 'data', 'in', 'citemixz07a', 'the', 'new', 'ingredients', 'are', 'that', 'we', 'use', 'a', 'modified', 'long', 'time', 'perturbation', 'theory', 'to', 'obtain', 'the', 'frequency', 'localization', 'proposition', 'reffreqdelocaimplystbound', 'and', 'corollary', 'reffrequencylocalization', 'of', 'the', 'minimal', 'energy', 'blow', 'up', 'solutions', 'which', 'can', 'not', 'be', 'obtained', 'from', 'the', 'classical', 'long', 'time', 'perturbation', 'and', 'bilinear', 'estimate', 'and', 'that', 'we', 'obtain', 'the', 'spatial', 'concentration', 'of', 'minimal', 'energy', 'blow', 'up', 'solution', 'after', 'proving', 'that', 'lfrac2nn2_xnorm', 'of', 'minimal', 'energy', 'blow', 'up', 'solutions', 'is', 'bounded', 'from', 'below', 'the', 'lfrac2nn2_xnorm', 'is', 'larger', 'than', 'the', 'potential', 'energy']] | [-0.10099939071026838, 0.09198541762230318, -0.07036365157624414, 0.10000164931917116, -0.05840480274497724, -0.09946698471826833, 0.027895812787046302, 0.3038125665866085, -0.3023137431437812, -0.28622428931234295, 0.15120646961452824, -0.26941017497115394, -0.05719972731909245, 0.18552798330629908, -0.011129622776754016, 0.061893403496446994, 0.025451738937673243, 0.043320944132514236, -0.08130889844961373, -0.2243959983456726, 0.34981562624000445, 0.0009412497228150033, 0.23743792437016964, 0.08588188896071135, 0.14020673772955144, -0.006195099035293357, 0.019971471506917526, -0.02697223625848193, -0.17572825429627956, 0.07612539092001837, 0.1850220625565872, 0.0653327773594536, 0.26805295759796605, -0.450896127257219, -0.2334699528830603, 0.12948522969218326, 0.15610595558546791, 0.14525739329266707, -0.03256144866632098, -0.26810590902820597, 0.09570917342827956, -0.0980897166011932, -0.21343210315685873, -0.10394707905929074, 0.0053370442195249, 0.07476025201334072, -0.26070178307550534, 0.15001216139990745, 0.06494508686375396, -0.0031263221070663002, -0.1804403226730252, -0.045115500018924226, -0.04588613847717027, 0.06893513047652057, 0.07610111931061819, 0.043490293685901016, 0.03801374277869655, -0.10405368565712586, -0.04165834652968059, 0.3418344962603051, -0.13883418246417226, -0.20853943627881855, 0.16650109089264445, -0.1563632223901362, -0.07487719230092138, 0.1508739646043136, 0.17056900643443396, 0.13396656979452665, -0.1267168431962294, 0.15906788354589457, -0.019083400380081873, 0.21330852975899522, 0.17273609046554886, 0.036287775690367154, 0.0774789640982058, 0.1511198562523735, 0.15334485552835564, 0.06685873368574106, -0.06781626304598094, -0.08706937116101261, -0.3527004882878016, -0.14369377043975656, -0.1750384949163095, 0.10847220590835041, -0.1275672221872359, -0.11824900461052937, 0.40625265053635046, 0.12432629711038917, 0.17687705531908768, 0.09558297944455292, 0.2590409195327685, 0.18164644686193473, 0.08229000132996589, 0.11033747784508592, 0.252064804642746, 0.07871760937292899, 0.13048399345610628, -0.19723475099279553, -0.06110004423386302, 0.12638184253531912] |
707.3255 | Geometrical Objects on the First Order Jet Space $J^1(T,R^5)$ Produced
by the Lorenz Atmospheric DEs System | The aim of this paper is to construct natural geometrical objects on the
1-jet space J^1(T,R^5), where $T/subset R$, like a non-linear connection, a
generalized Cartan connection, together with its d-torsions and d-curvatures, a
jet electromagnetic d-field and a jet Yang-Mills energy, starting from the
given Lorenz atmospheric DEs system and the pair of Euclidian metrics $/Delta =
(1,/delta_{ij})$ on $T/times R^5$.
| math.DG math.DS | the aim of this paper is to construct natural geometrical objects on the 1jet space j1tr5 where tsubset r like a nonlinear connection a generalized cartan connection together with its dtorsions and dcurvatures a jet electromagnetic dfield and a jet yangmills energy starting from the given lorenz atmospheric des system and the pair of euclidian metrics delta 1delta_ij on ttimes r5 | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'construct', 'natural', 'geometrical', 'objects', 'on', 'the', '1jet', 'space', 'j1tr5', 'where', 'tsubset', 'r', 'like', 'a', 'nonlinear', 'connection', 'a', 'generalized', 'cartan', 'connection', 'together', 'with', 'its', 'dtorsions', 'and', 'dcurvatures', 'a', 'jet', 'electromagnetic', 'dfield', 'and', 'a', 'jet', 'yangmills', 'energy', 'starting', 'from', 'the', 'given', 'lorenz', 'atmospheric', 'des', 'system', 'and', 'the', 'pair', 'of', 'euclidian', 'metrics', 'delta', '1delta_ij', 'on', 'ttimes', 'r5']] | [-0.18105825821285026, 0.08968460051563837, -0.09475702652707696, 0.08697018196601104, -0.15607036971802807, -0.1273159468941138, -0.06218305941852662, 0.3181083719482866, -0.24161232876891303, -0.23885852565704765, 0.06318986422177088, -0.29417064195593534, -0.1649013120617907, 0.1388505346820516, -0.09229222789280496, 0.026418086819121837, 0.054118892651493264, 0.06989982321274356, -0.11114453364132067, -0.1458911715485787, 0.3932234463045153, 0.04930315278786219, 0.1757458739842967, 0.012788286748326431, 0.2324889856153878, 0.003317930191060749, -0.0552048890109537, 0.03417575839952313, -0.16562270425196926, 0.10035652345267393, 0.1956352849917139, 0.09298409151023854, 0.15958740009721054, -0.3491763729696809, -0.16413830301203466, 0.10980516167010292, 0.08136481181639484, -0.03627305528764629, 0.03334370575908382, -0.2938145181258856, 0.049402870458819095, -0.17412851570900215, -0.14026242961033675, 0.01523833071528855, 0.032510099790485227, 0.016820001684255518, -0.229758979531668, 0.013379382285273682, 0.05723417348275751, 0.07034814428790646, -0.034055680752795, -0.05224623504860358, -0.10246477662822452, 0.035063790315288605, 0.026048065135571157, 0.17133928390251377, 0.0971363631345458, -0.10504783102670305, -0.08795657165159108, 0.43356545705158833, -0.055344272969227476, -0.24356790062166372, 0.17864177578870774, -0.11744939108079268, -0.14546958367356053, 0.0755278434193993, 0.19069345163623408, 0.09819743801618658, -0.09436108991188014, 0.17668208730568857, -0.062443003603020464, 0.08447814944310714, 0.09726562496211569, 0.035944945084215224, 0.1820770767912016, 0.10552942591829825, 0.06780637311354532, 0.08861497092707935, -0.05854259743907694, -0.04872891298984572, -0.40095351685343655, -0.20556849463827023, -0.12512071834782423, 0.15711270419138848, -0.15326240866433166, -0.1712393590201766, 0.39688147655767153, 0.01740980333001432, 0.20414571887497807, 0.058235983309036086, 0.23069548070178195, 0.02273362895505408, -0.009717369460011437, 0.10188135271102695, 0.2158013944656162, 0.19960177615600622, 0.13253303897425028, -0.19239543089879899, -0.08948714003535145, 0.16771576269450833] |
707.3256 | Modelling the Global Solar Corona: Filament Chirality Observations and
Surface Simulations | The hemispheric pattern of solar filaments is considered in the context of
the global magnetic field of the solar corona. In recent work Mackay and van
Ballegooijen have shown how, for a pair of interacting magnetic bipoles, the
observed chirality pattern could be explained by the dominant range of bipole
tilt angles and helicity in each hemisphere. This study aims to test this
earlier result through a direct comparison between theory and observations,
using newly-developed simulations of the actual surface and 3D coronal magnetic
fields over a 6-month period, on a global scale.
In this paper we consider two key components of the study; firstly the
observations of filament chirality for the sample of 255 filaments, and
secondly our new simulations of the large-scale surface magnetic field. Based
on a flux-transport model, these will be used as the lower boundary condition
for the future 3D coronal simulations. Our technique differs significantly from
those of other authors, where the coronal field is either assumed to be purely
potential, or has to be reset back to potential every 27 days in order that the
photospheric field remain accurate. In our case we ensure accuracy by the
insertion of newly-emerging bipolar active regions, based on observed
photospheric synoptic magnetograms. The large-scale surface field is shown to
remain accurate over the 6-month period, without any resetting. This new
technique will enable future simulations to consider the long-term build-up and
transport of helicity and shear in the coronal magnetic field, over many months
or years.
| astro-ph | the hemispheric pattern of solar filaments is considered in the context of the global magnetic field of the solar corona in recent work mackay and van ballegooijen have shown how for a pair of interacting magnetic bipoles the observed chirality pattern could be explained by the dominant range of bipole tilt angles and helicity in each hemisphere this study aims to test this earlier result through a direct comparison between theory and observations using newlydeveloped simulations of the actual surface and 3d coronal magnetic fields over a 6month period on a global scale in this paper we consider two key components of the study firstly the observations of filament chirality for the sample of 255 filaments and secondly our new simulations of the largescale surface magnetic field based on a fluxtransport model these will be used as the lower boundary condition for the future 3d coronal simulations our technique differs significantly from those of other authors where the coronal field is either assumed to be purely potential or has to be reset back to potential every 27 days in order that the photospheric field remain accurate in our case we ensure accuracy by the insertion of newlyemerging bipolar active regions based on observed photospheric synoptic magnetograms the largescale surface field is shown to remain accurate over the 6month period without any resetting this new technique will enable future simulations to consider the longterm buildup and transport of helicity and shear in the coronal magnetic field over many months or years | [['the', 'hemispheric', 'pattern', 'of', 'solar', 'filaments', 'is', 'considered', 'in', 'the', 'context', 'of', 'the', 'global', 'magnetic', 'field', 'of', 'the', 'solar', 'corona', 'in', 'recent', 'work', 'mackay', 'and', 'van', 'ballegooijen', 'have', 'shown', 'how', 'for', 'a', 'pair', 'of', 'interacting', 'magnetic', 'bipoles', 'the', 'observed', 'chirality', 'pattern', 'could', 'be', 'explained', 'by', 'the', 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707.3257 | Investigations of a THGEM-based imaging detector | We present the results of our recent studies on a Thick Gas Electron
Multiplier (THGEM)-based imaging detector prototype. It consists of two 100x100
mm^2 THGEM electrodes in cascade, coupled to a resistive anode. The event
location is recorded with a 2D double-sided readout electrode equipped with
discrete delay-lines and dedicated electronics. The THGEM electrodes, produced
by standard printed-circuit board and mechanical drilling techniques, a 0.4 mm
thick with 0.5 mm diameter holes spaced by 1 mm. Localization resolutions of
about 0.7 mm (FWHM) were measured with soft x-rays, in a detector operated with
atmospheric-pressure Ar/CH4; good linearity and homogeneity were achieved. We
describe the imaging-detector layout, the resistive-anode 2D readout system and
the imaging properties. The THGEM has numerous potential applications that
require large-area imaging detectors, with high-rate capability,
single-electron sensitivity and moderate (sub-mm) localization resolution.
| physics.ins-det | we present the results of our recent studies on a thick gas electron multiplier thgembased imaging detector prototype it consists of two 100x100 mm2 thgem electrodes in cascade coupled to a resistive anode the event location is recorded with a 2d doublesided readout electrode equipped with discrete delaylines and dedicated electronics the thgem electrodes produced by standard printedcircuit board and mechanical drilling techniques a 04 mm thick with 05 mm diameter holes spaced by 1 mm localization resolutions of about 07 mm fwhm were measured with soft xrays in a detector operated with atmosphericpressure arch4 good linearity and homogeneity were achieved we describe the imagingdetector layout the resistiveanode 2d readout system and the imaging properties the thgem has numerous potential applications that require largearea imaging detectors with highrate capability singleelectron sensitivity and moderate submm localization resolution | [['we', 'present', 'the', 'results', 'of', 'our', 'recent', 'studies', 'on', 'a', 'thick', 'gas', 'electron', 'multiplier', 'thgembased', 'imaging', 'detector', 'prototype', 'it', 'consists', 'of', 'two', '100x100', 'mm2', 'thgem', 'electrodes', 'in', 'cascade', 'coupled', 'to', 'a', 'resistive', 'anode', 'the', 'event', 'location', 'is', 'recorded', 'with', 'a', '2d', 'doublesided', 'readout', 'electrode', 'equipped', 'with', 'discrete', 'delaylines', 'and', 'dedicated', 'electronics', 'the', 'thgem', 'electrodes', 'produced', 'by', 'standard', 'printedcircuit', 'board', 'and', 'mechanical', 'drilling', 'techniques', 'a', '04', 'mm', 'thick', 'with', '05', 'mm', 'diameter', 'holes', 'spaced', 'by', '1', 'mm', 'localization', 'resolutions', 'of', 'about', '07', 'mm', 'fwhm', 'were', 'measured', 'with', 'soft', 'xrays', 'in', 'a', 'detector', 'operated', 'with', 'atmosphericpressure', 'arch4', 'good', 'linearity', 'and', 'homogeneity', 'were', 'achieved', 'we', 'describe', 'the', 'imagingdetector', 'layout', 'the', 'resistiveanode', '2d', 'readout', 'system', 'and', 'the', 'imaging', 'properties', 'the', 'thgem', 'has', 'numerous', 'potential', 'applications', 'that', 'require', 'largearea', 'imaging', 'detectors', 'with', 'highrate', 'capability', 'singleelectron', 'sensitivity', 'and', 'moderate', 'submm', 'localization', 'resolution']] | [-0.04960564267691294, 0.09727197747204953, 0.030249018520950827, -0.05450419566173579, 0.03313534590763165, -0.24730156770292253, -0.06332463074871686, 0.46858588384408784, -0.1458943043870212, -0.37195714077314557, 0.12376182281182829, -0.33991812289094747, -0.015482128424041751, 0.22172966558110915, -0.06858285866093947, 0.11776700951576011, 0.09679128531966691, -0.13733808221747237, -0.09633221827384864, -0.1565856387319196, 0.1550158328070903, 0.16893892394858342, 0.30662597374601375, 0.004460397989614241, 0.19283146959027525, -0.039249974323906624, -0.018845404988265972, 0.003832886885128804, -0.1199144188390368, 0.0749936382896128, 0.28076842619078374, -0.002323719287124365, 0.19183801036717288, -0.4786339554754989, -0.18348935847657163, -0.01860854050505962, 0.07503828509891433, -0.055703822802448184, -0.11292213230105395, -0.28813181645167407, 0.11087377247080873, -0.17908341087463464, -0.12739572300464472, 0.07914312077171878, -0.06410581170609082, 0.05837792486869799, -0.2114507112679864, 0.014298612642824761, 0.016524636697931104, 0.07390639621333511, -0.05225283561149306, -0.10568658657173918, 0.03427743994623923, 0.041371922394427565, -0.09650125682055116, 0.033140321229167505, 0.24609072076212338, -0.10192053126685544, -0.101979412218389, 0.23106479492740456, -0.026355496683303933, -0.12322543500297105, 0.2423564617160652, -0.22453609371988742, -0.009959294180969582, 0.24283890411737305, 0.10367507540009249, 0.09543616340474796, -0.16840431567823597, 0.04578650340506522, 0.019305199961553315, 0.28437281888562127, 0.14362322868529095, 0.06581136604784918, 0.2357792119676275, 0.3113134298186902, 0.044002798601373364, 0.15255440262132394, -0.30131805771110415, 0.03208082315942912, -0.2625839418467523, -0.17719650095147985, -0.14288039687749887, 0.1030679558214398, -0.046633639306315644, -0.13478394152958, 0.37276588575636493, 0.09009906789982941, 0.12584743184669972, -0.046193819548656694, 0.341032317312789, -0.0026554555967519644, 0.15866714809611163, -0.018916058864917106, 0.2637598912358465, 0.17315674152106017, 0.19332985986204845, -0.16197555521138207, -0.04935677372416092, 0.016362157844896637] |
707.3258 | Collective Flow of Protons and Negative Pions in Nucleus-Nucleus
Collisions at Momentum of $4.2 \div 4.5$ AGeV/c | Collective flow of protons and negative pions has been studied within the
momentum region of $4.2 \div 4.5$ AGeV/c ($E =3.4 \div 3.7$ AGeV) for different
projectile-target combinations involving carbon and, specifically, He-C, C-C,
C-Ne, C-Cu and C-Ta. The data stem from the SKM-200-GIBS streamer chamber and
from Propane Bubble Chamber systems utilized at JINR. The directed flow of
protons grows dramatically in the carbon region when the counterpart nucleus
grows in mass between He and Ta. The elliptic proton flow points out of the
reaction plane and also strengthens as system mass increases. Within the
reaction plane, the negative pions flow in the same direction as protons for
the lighter of the investigated systems, He-C, C-C and C-Ne, and in the
opposite direction for the heavier, C-Cu and C-Ta. The Quark-Gluon String Model
reproduces observed changes in the flow with system mass.
| nucl-ex | collective flow of protons and negative pions has been studied within the momentum region of 42 div 45 agevc e 34 div 37 agev for different projectiletarget combinations involving carbon and specifically hec cc cne ccu and cta the data stem from the skm200gibs streamer chamber and from propane bubble chamber systems utilized at jinr the directed flow of protons grows dramatically in the carbon region when the counterpart nucleus grows in mass between he and ta the elliptic proton flow points out of the reaction plane and also strengthens as system mass increases within the reaction plane the negative pions flow in the same direction as protons for the lighter of the investigated systems hec cc and cne and in the opposite direction for the heavier ccu and cta the quarkgluon string model reproduces observed changes in the flow with system mass | [['collective', 'flow', 'of', 'protons', 'and', 'negative', 'pions', 'has', 'been', 'studied', 'within', 'the', 'momentum', 'region', 'of', '42', 'div', '45', 'agevc', 'e', '34', 'div', '37', 'agev', 'for', 'different', 'projectiletarget', 'combinations', 'involving', 'carbon', 'and', 'specifically', 'hec', 'cc', 'cne', 'ccu', 'and', 'cta', 'the', 'data', 'stem', 'from', 'the', 'skm200gibs', 'streamer', 'chamber', 'and', 'from', 'propane', 'bubble', 'chamber', 'systems', 'utilized', 'at', 'jinr', 'the', 'directed', 'flow', 'of', 'protons', 'grows', 'dramatically', 'in', 'the', 'carbon', 'region', 'when', 'the', 'counterpart', 'nucleus', 'grows', 'in', 'mass', 'between', 'he', 'and', 'ta', 'the', 'elliptic', 'proton', 'flow', 'points', 'out', 'of', 'the', 'reaction', 'plane', 'and', 'also', 'strengthens', 'as', 'system', 'mass', 'increases', 'within', 'the', 'reaction', 'plane', 'the', 'negative', 'pions', 'flow', 'in', 'the', 'same', 'direction', 'as', 'protons', 'for', 'the', 'lighter', 'of', 'the', 'investigated', 'systems', 'hec', 'cc', 'and', 'cne', 'and', 'in', 'the', 'opposite', 'direction', 'for', 'the', 'heavier', 'ccu', 'and', 'cta', 'the', 'quarkgluon', 'string', 'model', 'reproduces', 'observed', 'changes', 'in', 'the', 'flow', 'with', 'system', 'mass']] | [-0.05464783316751669, 0.21300658013775842, -0.023143684156515826, 0.05853614461660333, 0.0472907570656389, -0.10788104728220839, 0.014169606886530569, 0.32959082824262703, -0.2377632471693719, -0.2972933869789374, -0.010528943090448465, -0.3735355030203082, 0.05788036934067528, 0.1615451048934259, 0.04072158637748041, 0.02218664177836707, 0.07388807299312439, 0.022966342710342806, -0.044733258928852056, -0.15493560869611436, 0.27924647296199223, 0.10728166913418295, 0.25434313334648373, 0.09722528331576223, 0.09148343988137411, 0.004284455186941407, -0.002237141829218481, -0.011025227182968096, -0.10119358963500774, 0.03966506330221704, 0.22599629370391472, 0.05972137415319212, 0.1538964677081033, -0.40656071207062766, -0.16389226980533425, 0.08310491104212987, 0.1886127509919184, 0.03567364093053018, -0.02055372906705508, -0.24301731422335118, 0.07918255692478139, -0.21121748153224484, -0.1634653339608592, 0.07007378082025562, 0.041816104730994966, 0.06038894435273601, -0.2268756458900504, 0.10189320123408452, -0.009602778767059733, 0.0700830104956208, -0.10356587617759026, -0.22207094825172496, -0.09495335310971091, 0.08952557307263426, 0.09847038703192339, 0.08169048108360763, 0.20151411939959427, -0.11957031926400699, -0.04417720474905198, 0.4009716818434792, -0.036032785054205076, -0.10668541744377438, 0.1577068566315371, -0.2082735485481945, -0.08355141407545572, 0.21721034873947762, 0.21491544684000358, 0.10643886381408552, -0.15554541346693976, 0.0402575477699658, -0.015003407219143167, 0.1473387108295114, 0.13556183751841838, -0.030599655244838108, 0.17004870587122997, 0.18990388648564946, 0.03582774408135589, 0.08284939535392019, -0.1570157063864432, -0.08346038111778614, -0.2789717248732133, -0.1713458024212843, -0.06080584938742116, 0.01841987049780213, -0.07003094810718537, -0.050223017376815005, 0.34047222357581963, 0.014014512665205068, 0.1969803344129448, -0.05626730732066179, 0.23763094819313685, 0.027054442612167735, 0.06763117471253956, 0.12912824732362183, 0.2953411270245597, 0.16965799449154964, 0.2398949190192706, -0.267541017819691, 0.04105276488568764, 0.04293956412197827] |
707.3259 | Generalized Harmonic Oscillator and the Schr\"{o}dinger Equation with
Position-Dependent Mass | We study the generalized harmonic oscillator which has both the
position-dependent mass and the potential depending on the form of mass
function in a more general framework. The explicit expressions of the
eigenvalue and eigenfunction for such system are given, they have the same
forms as those for the usual harmonic oscillator with constant mass. The
coherent state and the its properties for the system with PDM are also
discussed. We give the corresponding effective potentials for several mass
functions, the systems with such potentials are isospectral to the usual
harmonic oscillator.
| quant-ph | we study the generalized harmonic oscillator which has both the positiondependent mass and the potential depending on the form of mass function in a more general framework the explicit expressions of the eigenvalue and eigenfunction for such system are given they have the same forms as those for the usual harmonic oscillator with constant mass the coherent state and the its properties for the system with pdm are also discussed we give the corresponding effective potentials for several mass functions the systems with such potentials are isospectral to the usual harmonic oscillator | [['we', 'study', 'the', 'generalized', 'harmonic', 'oscillator', 'which', 'has', 'both', 'the', 'positiondependent', 'mass', 'and', 'the', 'potential', 'depending', 'on', 'the', 'form', 'of', 'mass', 'function', 'in', 'a', 'more', 'general', 'framework', 'the', 'explicit', 'expressions', 'of', 'the', 'eigenvalue', 'and', 'eigenfunction', 'for', 'such', 'system', 'are', 'given', 'they', 'have', 'the', 'same', 'forms', 'as', 'those', 'for', 'the', 'usual', 'harmonic', 'oscillator', 'with', 'constant', 'mass', 'the', 'coherent', 'state', 'and', 'the', 'its', 'properties', 'for', 'the', 'system', 'with', 'pdm', 'are', 'also', 'discussed', 'we', 'give', 'the', 'corresponding', 'effective', 'potentials', 'for', 'several', 'mass', 'functions', 'the', 'systems', 'with', 'such', 'potentials', 'are', 'isospectral', 'to', 'the', 'usual', 'harmonic', 'oscillator']] | [-0.10343177415526715, 0.11413454515834177, -0.04086500496360595, 0.0785553082924984, -0.023040042780137257, -0.13478236965349186, -0.03966688393088787, 0.3759909300133586, -0.2119101430086986, -0.2630237294765918, 0.09563965115407684, -0.2888083128592647, -0.15885879145935178, 0.24416525520222343, 0.021136982786550147, 0.10333558000844356, 0.03429917548530047, 0.13458956008189885, -0.09323714575958034, -0.18287768885088357, 0.3947322034155545, 0.03076923891026324, 0.1956821711070876, 0.060701732594600835, 0.08691743208328262, -0.008246355107985437, 0.052116379141807556, -0.05578662863547873, -0.13092147254223085, 0.1298846094957654, 0.14866691367680449, 0.06903031800428162, 0.22529088108516906, -0.38360188881178264, -0.18631104638536825, 0.13775643461343387, 0.10501296174460668, 0.1387027259700952, -0.05233069015214468, -0.28056698272247677, 0.010823273079712753, -0.1794119501820482, -0.17904746370471042, -0.10843146003215857, 0.03815026904719517, 0.12328643432524784, -0.25863571900307486, 0.10953747315658763, 0.0513009097675145, 0.009842319388711907, -0.1308915934123038, -0.14805505748296602, -0.049200814260352076, 0.12678525988113784, 0.01071481053393496, -0.012027474153159268, 0.11178503866287191, -0.11407905474872045, -0.04920133351571048, 0.4215529939595043, -0.08610240822536466, -0.2862521416467169, 0.17285120721941855, -0.1413927654604144, -0.09295396509823269, 0.04709600194094136, 0.15224618411562202, 0.0888396445054399, -0.16576818983151537, 0.09760743748895197, 0.003146874951198697, 0.10694017460691216, 0.06593084548417803, 0.059283554906395024, 0.17712385172996184, 0.08917248617533756, 0.07070288288599366, 0.13204275456297657, -0.017958104992589062, -0.1313291677000487, -0.3012617944699267, -0.14719798863845188, -0.16865194079202964, 0.026258337534154238, -0.10112263221732143, -0.18797732680610826, 0.45285246858079714, 0.06487107300199568, 0.2121923507656902, 0.08018957723169992, 0.25497740140670666, 0.26372004934945953, 0.08516160307360975, 0.028251969711045207, 0.27477786950159655, 0.16689891855323524, 0.07956711048483038, -0.22788410291136446, -0.06016066980689926, 0.07298604104131379] |
707.326 | Cosmology of fermionic dark matter | We explore a model for a fermionic dark matter particle family which
decouples from the rest of the partices when at least all standard model
particles are in equilibrium. We calculate the allowed ranges for mass and
chemical potential to be compatible with big bang nucleosynthesis (BBN)
calculations and WMAP-data for a flat universe with dark energy. Futhermore we
estimate the free streaming length for fermions and antifermions to allow
comparison to large scale structure data (LLS). We find that for dark matter
decoupling when all standard model particles are present even the least
restrictive combined BBN calculation and WMAP results allow us to constrain the
initial dark matter chemical potential to a highest value of 6.3 times the dark
matter temperature. In this case the resulting mass range is at most 1.8 eV < m
< 53 eV, where the upper bound scales linearly with the effective degrees of
freedom at decoupling. From LSS we find that similar to ordinary warm dark
matter models the particle mass has to be larger than approximately 500 eV
(meaning the effective degrees of freedom at decoupling have to be > 1000) to
be compatible with observations of the Ly alpha forest at high redshift, but
still the dark matter chemical potential over temperature ratio can exceed
unity.
| astro-ph | we explore a model for a fermionic dark matter particle family which decouples from the rest of the partices when at least all standard model particles are in equilibrium we calculate the allowed ranges for mass and chemical potential to be compatible with big bang nucleosynthesis bbn calculations and wmapdata for a flat universe with dark energy futhermore we estimate the free streaming length for fermions and antifermions to allow comparison to large scale structure data lls we find that for dark matter decoupling when all standard model particles are present even the least restrictive combined bbn calculation and wmap results allow us to constrain the initial dark matter chemical potential to a highest value of 63 times the dark matter temperature in this case the resulting mass range is at most 18 ev m 53 ev where the upper bound scales linearly with the effective degrees of freedom at decoupling from lss we find that similar to ordinary warm dark matter models the particle mass has to be larger than approximately 500 ev meaning the effective degrees of freedom at decoupling have to be 1000 to be compatible with observations of the ly alpha forest at high redshift but still the dark matter chemical potential over temperature ratio can exceed unity | [['we', 'explore', 'a', 'model', 'for', 'a', 'fermionic', 'dark', 'matter', 'particle', 'family', 'which', 'decouples', 'from', 'the', 'rest', 'of', 'the', 'partices', 'when', 'at', 'least', 'all', 'standard', 'model', 'particles', 'are', 'in', 'equilibrium', 'we', 'calculate', 'the', 'allowed', 'ranges', 'for', 'mass', 'and', 'chemical', 'potential', 'to', 'be', 'compatible', 'with', 'big', 'bang', 'nucleosynthesis', 'bbn', 'calculations', 'and', 'wmapdata', 'for', 'a', 'flat', 'universe', 'with', 'dark', 'energy', 'futhermore', 'we', 'estimate', 'the', 'free', 'streaming', 'length', 'for', 'fermions', 'and', 'antifermions', 'to', 'allow', 'comparison', 'to', 'large', 'scale', 'structure', 'data', 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'observations', 'of', 'the', 'ly', 'alpha', 'forest', 'at', 'high', 'redshift', 'but', 'still', 'the', 'dark', 'matter', 'chemical', 'potential', 'over', 'temperature', 'ratio', 'can', 'exceed', 'unity']] | [-0.07330677384715749, 0.21960820735520906, -0.07554832202648477, 0.0917888868788612, -0.06147040678631692, -0.13368063943261013, 0.018212466869902397, 0.31809330433163613, -0.22369018995169818, -0.4081532898619549, 0.03306060814897397, -0.309849343426703, 0.0429003492183429, 0.14203359401075258, 0.06227113980400775, -0.0060110359557993005, 0.014570081189629578, 0.029676254364174037, -0.048964037123576935, -0.25765758841631137, 0.2856773714352, 0.10420434575173117, 0.1897213136910328, 0.04851054894541102, 0.08587671032097811, -0.054320165445928326, 0.004766056500375271, -0.028566391002719422, -0.189091076345219, 0.03900339395567287, 0.2006183095583505, 0.06602652739910853, 0.1802561149799398, -0.3850920479389883, -0.23307679404415899, 0.1925928543632229, 0.15636796442836168, 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707.3261 | Scaling rules in the science system: influence of field-specific
citation characteristics on the impact of research groups | We propose a representation of science as a citation-density landscape and
investigate scaling rules with the field-specific citation density as a main
topological property. We focus on the size-dependence of several main
bibliometric indicators for a large set of research groups while distinguishing
between top-performance and lower performance groups. We demonstrate that this
representation of the science system is particularly effective to understand
the role and the interdependencies of the different bibliometric indicators and
related topological properties of the landscape.
| physics.soc-ph physics.data-an | we propose a representation of science as a citationdensity landscape and investigate scaling rules with the fieldspecific citation density as a main topological property we focus on the sizedependence of several main bibliometric indicators for a large set of research groups while distinguishing between topperformance and lower performance groups we demonstrate that this representation of the science system is particularly effective to understand the role and the interdependencies of the different bibliometric indicators and related topological properties of the landscape | [['we', 'propose', 'a', 'representation', 'of', 'science', 'as', 'a', 'citationdensity', 'landscape', 'and', 'investigate', 'scaling', 'rules', 'with', 'the', 'fieldspecific', 'citation', 'density', 'as', 'a', 'main', 'topological', 'property', 'we', 'focus', 'on', 'the', 'sizedependence', 'of', 'several', 'main', 'bibliometric', 'indicators', 'for', 'a', 'large', 'set', 'of', 'research', 'groups', 'while', 'distinguishing', 'between', 'topperformance', 'and', 'lower', 'performance', 'groups', 'we', 'demonstrate', 'that', 'this', 'representation', 'of', 'the', 'science', 'system', 'is', 'particularly', 'effective', 'to', 'understand', 'the', 'role', 'and', 'the', 'interdependencies', 'of', 'the', 'different', 'bibliometric', 'indicators', 'and', 'related', 'topological', 'properties', 'of', 'the', 'landscape']] | [-0.10738583122147247, 0.08639961780281738, -0.12093703178688883, 0.12012754941824824, -0.06665381994098425, -0.06918389780912548, 0.07895715460181237, 0.35733858998864887, -0.2533266864833422, -0.33814949948573486, 0.07081978644127958, -0.2793113480845932, -0.22149409247213042, 0.20917662840802223, -0.06514738019905053, 0.01627112370915711, 0.016053757234476506, 0.020306192102725617, -0.045551811877521685, -0.22518428203184157, 0.36511974735185504, 0.04040205194614828, 0.37596517489291725, 0.09614603687077761, 0.03292268416844309, -0.04499423225352075, -0.09855558901908808, 0.03956374418339692, -0.14834283080754176, 0.21900359211140313, 0.2792609836542397, 0.15825234077055939, 0.3327112427563407, -0.3375346164917573, -0.20433570931199938, 0.09488281672238372, 0.10330629401141778, 0.040859517219359986, -0.03677513927250402, -0.2714831620687619, 0.06881893981480972, -0.18617368617560714, -0.0647083779622335, -0.09806250855326652, 0.06398002015193924, 0.060133191453496694, -0.17749156670179217, 0.012848896938885445, 0.024071692599682136, 0.1329267215100117, -0.05005384403048083, -0.13224995977216167, -0.01701127158885356, 0.22716738536255435, 0.06934951130242553, -0.0019836419029161333, 0.11386564779677429, -0.18182789372222033, -0.1386551868126844, 0.4071449515176937, -0.029270563783938996, -0.13128992803103756, 0.2187712822749745, -0.1223370835185051, -0.19641627033706754, -0.01704662794363685, 0.20438511860556902, 0.07580493330024182, -0.12210576056968421, 0.04659025032015052, -0.005167585432354826, 0.15961085325689056, 0.0056986006791703405, 0.07401059687254019, 0.2104321618884569, 0.2085581378196366, 0.0793725425755838, 0.17120890968944877, -0.04618847167294007, -0.07430436614667997, -0.2844819729725714, -0.18064286154985892, -0.17090619420050643, 0.024107096856459974, -0.10401548656445811, -0.19636759346467442, 0.480373045662418, 0.1586037029745057, 0.15847819088994583, 0.02630604032892734, 0.2447640804806724, 0.06099373045890388, 0.05182059532962739, 0.027947797148954123, 0.17372228824533523, 0.12649341621436178, 0.08151844074891415, -0.1918441127811093, 0.07320182099356316, 0.06848861828621011] |
707.3262 | Quasi-equilibrium optical nonlinearities in spin-polarized GaAs | Semiconductor Bloch equations, which microscopically describe the dynamics of
a Coulomb interacting, spin-unpolarized electron-hole plasma, can be solved in
two limits: the coherent and the quasi-equilibrium regime. These equations have
been recently extended to include the spin degree of freedom, and used to
explain spin dynamics in the coherent regime. In the quasi-equilibrium limit,
one solves the Bethe-Salpeter equation in a two-band model to describe how
optical absorption is affected by Coulomb interactions within a
spin-unpolarized plasma of arbitrary density. In this work, we modified the
solution of the Bethe-Salpeter equation to include spin-polarization and light
holes in a three-band model, which allowed us to account for spin-polarized
versions of many-body effects in absorption. The calculated absorption
reproduced the spin-dependent, density-dependent and spectral trends observed
in bulk GaAs at room temperature, in a recent pump-probe experiment with
circularly polarized light. Hence our results may be useful in the microscopic
modelling of density-dependent optical nonlinearities in spin-polarized
semiconductors.
| cond-mat.mtrl-sci cond-mat.other | semiconductor bloch equations which microscopically describe the dynamics of a coulomb interacting spinunpolarized electronhole plasma can be solved in two limits the coherent and the quasiequilibrium regime these equations have been recently extended to include the spin degree of freedom and used to explain spin dynamics in the coherent regime in the quasiequilibrium limit one solves the bethesalpeter equation in a twoband model to describe how optical absorption is affected by coulomb interactions within a spinunpolarized plasma of arbitrary density in this work we modified the solution of the bethesalpeter equation to include spinpolarization and light holes in a threeband model which allowed us to account for spinpolarized versions of manybody effects in absorption the calculated absorption reproduced the spindependent densitydependent and spectral trends observed in bulk gaas at room temperature in a recent pumpprobe experiment with circularly polarized light hence our results may be useful in the microscopic modelling of densitydependent optical nonlinearities in spinpolarized semiconductors | [['semiconductor', 'bloch', 'equations', 'which', 'microscopically', 'describe', 'the', 'dynamics', 'of', 'a', 'coulomb', 'interacting', 'spinunpolarized', 'electronhole', 'plasma', 'can', 'be', 'solved', 'in', 'two', 'limits', 'the', 'coherent', 'and', 'the', 'quasiequilibrium', 'regime', 'these', 'equations', 'have', 'been', 'recently', 'extended', 'to', 'include', 'the', 'spin', 'degree', 'of', 'freedom', 'and', 'used', 'to', 'explain', 'spin', 'dynamics', 'in', 'the', 'coherent', 'regime', 'in', 'the', 'quasiequilibrium', 'limit', 'one', 'solves', 'the', 'bethesalpeter', 'equation', 'in', 'a', 'twoband', 'model', 'to', 'describe', 'how', 'optical', 'absorption', 'is', 'affected', 'by', 'coulomb', 'interactions', 'within', 'a', 'spinunpolarized', 'plasma', 'of', 'arbitrary', 'density', 'in', 'this', 'work', 'we', 'modified', 'the', 'solution', 'of', 'the', 'bethesalpeter', 'equation', 'to', 'include', 'spinpolarization', 'and', 'light', 'holes', 'in', 'a', 'threeband', 'model', 'which', 'allowed', 'us', 'to', 'account', 'for', 'spinpolarized', 'versions', 'of', 'manybody', 'effects', 'in', 'absorption', 'the', 'calculated', 'absorption', 'reproduced', 'the', 'spindependent', 'densitydependent', 'and', 'spectral', 'trends', 'observed', 'in', 'bulk', 'gaas', 'at', 'room', 'temperature', 'in', 'a', 'recent', 'pumpprobe', 'experiment', 'with', 'circularly', 'polarized', 'light', 'hence', 'our', 'results', 'may', 'be', 'useful', 'in', 'the', 'microscopic', 'modelling', 'of', 'densitydependent', 'optical', 'nonlinearities', 'in', 'spinpolarized', 'semiconductors']] | [-0.10783766842132826, 0.17738172277559044, -0.10111522615388938, 0.08928777139254246, -0.014378336062476894, -0.16632127697478719, 0.021715353293474883, 0.3700847278948233, -0.25354907788324416, -0.27574261260118077, -0.03994015230468006, -0.2851862748076392, -0.08764083964815422, 0.1735880592048975, 0.051164413321092964, 0.039919918898350684, -0.0052222551297467605, -0.09161652788330035, -0.057905109121707404, -0.20229611375553022, 0.28399685665870167, -0.007713346240840331, 0.2535881835635111, 0.11158811293874576, 0.06213830426560751, 0.042362289277801085, 0.05706872798170254, 0.029353771857015647, -0.11626541983854519, 0.05692509076836857, 0.2969936886920955, -0.07665691805772104, 0.19236941880896496, -0.5056143485982517, -0.2808103165559613, 0.011856528574446584, 0.17379313531616453, 0.209798301885996, -0.04135147766892318, -0.2948054127146009, -0.04234374481828729, -0.18314538168460265, -0.19891834132978395, -0.0807478418603397, -0.008491431801894288, 0.02448030092581442, -0.2515090415417365, 0.11530976076046848, 0.025430993885498875, -0.03799132439960388, -0.12140774113203215, -0.07096891771930798, -0.05393895196764, 0.019724689115574404, -0.007769247647493508, 0.011397227486239591, 0.12748018679339557, -0.14354461523894055, -0.10056881209135435, 0.3796774399271057, -0.1337651409635878, -0.16076816780385889, 0.13843178807811182, -0.19530015502800344, -0.07951976166100828, 0.1785201813705313, 0.16208701411849422, 0.11605878893558862, -0.20668264060239694, 0.10119095122423853, -0.03461272434174279, 0.14152465449426632, 0.04907669659531942, 0.09288706540895306, 0.24283018068760442, 0.17919135561723049, -0.0269432221257549, 0.08484355304063933, -0.08962831971277098, -0.10795270794836484, -0.23237999894576158, -0.09522300898052966, -0.1945656766361634, 0.08174662120569094, -0.02454522402792469, -0.12230033477009007, 0.4243296288879986, 0.17204125127666126, 0.13178000095816458, -0.06461252452164984, 0.2757462919079137, 0.18101632080536192, 0.037087837967064725, 0.033764883941098764, 0.3058344848679414, 0.2068403593507732, 0.10934749657323786, -0.32636775243671456, 0.008444734803804308, 0.022495425835690776] |
707.3263 | Autonomous tools for Grid management, monitoring and optimization | We outline design and lines of development of autonomous tools for the
computing Grid management, monitoring and optimization. The management is
proposed to be based on the notion of utility. Grid optimization is considered
to be application-oriented. A generic Grid simulator is proposed as an
optimization tool for Grid structure and functionality.
| cs.DC cs.CE hep-ex | we outline design and lines of development of autonomous tools for the computing grid management monitoring and optimization the management is proposed to be based on the notion of utility grid optimization is considered to be applicationoriented a generic grid simulator is proposed as an optimization tool for grid structure and functionality | [['we', 'outline', 'design', 'and', 'lines', 'of', 'development', 'of', 'autonomous', 'tools', 'for', 'the', 'computing', 'grid', 'management', 'monitoring', 'and', 'optimization', 'the', 'management', 'is', 'proposed', 'to', 'be', 'based', 'on', 'the', 'notion', 'of', 'utility', 'grid', 'optimization', 'is', 'considered', 'to', 'be', 'applicationoriented', 'a', 'generic', 'grid', 'simulator', 'is', 'proposed', 'as', 'an', 'optimization', 'tool', 'for', 'grid', 'structure', 'and', 'functionality']] | [-0.12349595600076449, -0.053897708911580806, -0.0747811549450629, 0.004320026480574877, -0.11848638179855278, -0.16565498515354612, 0.001089735035818124, 0.40853949609355855, -0.2619702836606078, -0.348220561666844, 0.21387865457934543, -0.20040512999268964, -0.16158994795897832, 0.25826338114879593, -0.11627809988119854, 0.08420516185175914, 0.0549009012309118, -0.08994672244163947, 0.012235391195505284, -0.21104225050210237, 0.2656286145345523, 0.130646692463555, 0.3360392588477295, 0.07676275251791455, 0.07278605020390107, 0.027496459446131036, -0.01195540885405185, 0.03257755824149801, -0.06594592268363787, 0.19167939643375576, 0.3182099447227441, 0.27041435270355296, 0.3173977851267689, -0.4051273769985598, -0.21061347598711458, 0.07163955012443833, 0.1248477422531533, 0.030611979278126873, -0.0552290303457994, -0.22683444203665623, 0.11139537581206801, -0.19696082250000194, -0.13815079500468877, -0.12631025032785076, -0.018735929983309828, 0.045196488893662505, -0.32588873353737513, -0.13107961991157097, -0.009518466782397948, 0.11132236761757387, -0.03869739760501453, -0.08933350411601938, -0.015494342879929509, 0.1627149222812687, -0.06562620237953244, -0.006880077130447786, 0.18672736373264343, -0.08145665359468414, -0.18427097861869976, 0.4274155690934724, 0.026934194289004572, -0.24065705485498676, 0.10740790889114858, 0.043700535978692084, -0.15866699528235656, 0.08052391428142212, 0.2668137725872489, 0.09860933189674352, -0.1891307010899674, 0.05901917770097498, 0.0412120374206167, 0.13971762212279898, -0.05163084990076291, -0.003211657879336809, 0.19054923669990295, 0.3198379838409332, 0.19833774590649858, 0.1470057281784158, -0.06720548722660169, -0.16042524497382915, -0.24369354082199818, -0.18099211455130268, -0.20715787638731015, 0.011361691164963234, -0.055229955316183174, -0.1956538517619125, 0.41187519752062285, 0.1780721337104646, 0.08405748049083811, 0.020937410523541845, 0.39161254179019195, 0.1275382284052634, 0.0736295311496808, 0.11237062075927567, 0.1380263765414174, 0.06106082024052739, 0.16527294985896263, -0.21411216706530048, 0.047624357304392524, 0.08159100818179119] |
707.3264 | Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of
Lax Connection | This short note is devoted to the study of the Hamiltonian formalism and the
integrability of the bosonic model introduced in [hep-th/0612079]. We calculate
Poisson bracket of spatial components of Lax connection and we argue that its
structure implies classical integrability of the theory.
| hep-th | this short note is devoted to the study of the hamiltonian formalism and the integrability of the bosonic model introduced in hepth0612079 we calculate poisson bracket of spatial components of lax connection and we argue that its structure implies classical integrability of the theory | [['this', 'short', 'note', 'is', 'devoted', 'to', 'the', 'study', 'of', 'the', 'hamiltonian', 'formalism', 'and', 'the', 'integrability', 'of', 'the', 'bosonic', 'model', 'introduced', 'in', 'hepth0612079', 'we', 'calculate', 'poisson', 'bracket', 'of', 'spatial', 'components', 'of', 'lax', 'connection', 'and', 'we', 'argue', 'that', 'its', 'structure', 'implies', 'classical', 'integrability', 'of', 'the', 'theory']] | [-0.18707648477365457, 0.07097538538970226, -0.11037059154274852, 0.11553738591109597, -0.05359801021946031, -0.08355257085112985, -0.035470800422846754, 0.31201022001373213, -0.30354241827546163, -0.23360179728546807, 0.0015376151950899945, -0.20469283217261003, -0.24953534482263548, 0.07555907955501488, -0.06397896121407665, -0.006357421486660145, 0.045511718492868336, 0.0709946135513831, -0.1448571217127231, -0.23322474880165658, 0.3836682339112253, 0.07026879246844801, 0.23745261661730013, 0.06251062803663486, 0.15205466892396988, 0.048768173156002924, -0.09761277189868134, -0.06063617107480071, -0.17587353411041942, 0.16094143905265387, 0.155957825005401, 0.07550649118317335, 0.16851594550859963, -0.43533268696520216, -0.15642519884331282, 0.09255133977506397, 0.11771474136472788, 0.09457566268568815, 0.057780165788392686, -0.2691965167259061, 0.07307816470085188, -0.18953944670123068, -0.23148990649903237, -0.04443951878902437, 0.02523155627382356, 0.014373961570780984, -0.15852664420949727, 0.09585605828405552, 0.17546293973316288, 0.04103071755881226, -0.08621706701219516, -0.013676387647729974, -0.030690722725202523, 0.038681226002788824, 0.05588353019435132, 0.0004665241901611173, 0.015258808641932731, -0.11037839555484784, -0.09489370512147975, 0.39144483628834403, -0.04807468343980957, -0.20926557768266216, 0.1688598886478779, -0.1281464309323319, -0.2086894167587161, 0.05545212896973934, 0.10444329454845121, 0.10615665500247201, -0.18694315844372478, 0.20341069915949173, -0.04356902653654648, 0.08161688769279524, 0.04006693479713312, 0.07325361246584243, 0.16571655418983725, 0.13489551842212677, 0.033097306367782825, 0.17805854234367954, -0.04918478324272951, -0.1868048493512148, -0.36663461056386315, -0.20024883271363186, -0.1632334960862821, 0.12344767406669467, -0.06254323904313212, -0.1702777995879567, 0.4356987793864899, 0.214741992248428, 0.173598674691802, 0.0820229864614301, 0.21059616896063957, 0.20047592339214199, 0.020622193899958632, 0.009381705321111652, 0.20600668217467014, 0.2897271573716818, 0.0856374905033167, -0.22313430499242143, -0.05558375852875585, 0.15748550225222527] |
707.3265 | Magnetic State Modification Induced by Superconducting Response in
Ferromagnet/Superconductor Hybrids | Magnetization measurements in superconductor/ferromagnet Nb/Co superlattices
show a complex behavior as a function of temperature, applied field and sample
history. In base to a simple model it is shown that this behavior is due to an
interplay between the superconductor magnetization temperature dependence, the
ferromagnet magnetization time dependence, and the stray fields of both
materials. It is also shown that the magnetic state of the Co layers is
modified by the Nb superconducting response, implying that the problem of a
superconductor/ferromagnetic heterogeneous sample has to be solved in a
self-consistent manner.
| cond-mat.supr-con | magnetization measurements in superconductorferromagnet nbco superlattices show a complex behavior as a function of temperature applied field and sample history in base to a simple model it is shown that this behavior is due to an interplay between the superconductor magnetization temperature dependence the ferromagnet magnetization time dependence and the stray fields of both materials it is also shown that the magnetic state of the co layers is modified by the nb superconducting response implying that the problem of a superconductorferromagnetic heterogeneous sample has to be solved in a selfconsistent manner | [['magnetization', 'measurements', 'in', 'superconductorferromagnet', 'nbco', 'superlattices', 'show', 'a', 'complex', 'behavior', 'as', 'a', 'function', 'of', 'temperature', 'applied', 'field', 'and', 'sample', 'history', 'in', 'base', 'to', 'a', 'simple', 'model', 'it', 'is', 'shown', 'that', 'this', 'behavior', 'is', 'due', 'to', 'an', 'interplay', 'between', 'the', 'superconductor', 'magnetization', 'temperature', 'dependence', 'the', 'ferromagnet', 'magnetization', 'time', 'dependence', 'and', 'the', 'stray', 'fields', 'of', 'both', 'materials', 'it', 'is', 'also', 'shown', 'that', 'the', 'magnetic', 'state', 'of', 'the', 'co', 'layers', 'is', 'modified', 'by', 'the', 'nb', 'superconducting', 'response', 'implying', 'that', 'the', 'problem', 'of', 'a', 'superconductorferromagnetic', 'heterogeneous', 'sample', 'has', 'to', 'be', 'solved', 'in', 'a', 'selfconsistent', 'manner']] | [-0.15788494440174283, 0.1518750377883687, -0.09650756360369396, 0.017758649967068416, -0.08052006182721355, -0.10197158502210137, 0.0657214778756907, 0.40322935354005507, -0.2797597875552518, -0.3089643659090603, 0.0065110472381462925, -0.2858705896433893, -0.13598231267143082, 0.2080873440168184, 0.041001661107517205, -0.012827538107368317, -0.044542519825991694, -0.02062815845340163, -0.06566138791974512, -0.23148788562412936, 0.2865474812870661, 0.01763789574769172, 0.3582020190104351, 0.06750022567255975, 0.07942598577650202, -0.040639194317039225, 0.14364156107882622, 0.10453468481344837, -0.08754885478761075, -0.02314133588147892, 0.24008662393828342, -0.05844341269643097, 0.20439044253614086, -0.4500121842898047, -0.23501671388090312, 0.0469535292474205, 0.115276776837533, 0.11945019700247181, -0.062146641833421126, -0.2225346401497558, 0.06139939531151738, -0.11786035480550848, -0.1121056590070641, -0.07716254530740636, 0.0257272917667281, -0.01374442193268256, -0.29986847461211485, 0.0634675634955184, 0.0803885596208172, 0.08800520625855815, -0.07490950287575578, -0.06556057733493847, -0.0571234951327954, 0.029206803073635795, 0.058966623699794024, 0.11385630953872761, 0.15481723879801704, -0.12721742575241068, -0.07177170434490787, 0.3097395856486081, -0.06162185691921347, -0.14243103746060284, 0.1383266698589528, -0.1662063402082812, -0.03717568182069194, 0.11852706015457982, 0.12728150605459462, 0.12411437966543568, -0.20901603654927606, 0.10082298305248943, -0.026735006667837336, 0.2116812417836307, -0.010454311577992126, 0.01601794833742123, 0.22928533427785713, 0.21933261500569162, 0.04351261898281646, 0.17353347491774873, -0.10575013518190154, -0.046338737256579346, -0.2059422872275668, -0.16828767203081113, -0.23363478030436313, 0.07527487811755267, -0.07253012752415008, -0.20363403575502562, 0.38757409591350583, 0.15865548270253035, 0.21029128224312604, -0.037259581324818374, 0.2665919286792504, 0.13413272810598406, 0.0907895848523457, 0.050714010147603, 0.2267891736087072, 0.22679868159856606, 0.16645709222571536, -0.3087327464964691, 0.12575591393940888, -0.023405473515555098] |
707.3266 | "Silver" mode for heavy Higgs search in the presence of a fourth SM
family | We investigate the possible enhancement to the discovery of the heavy Higgs
boson through the possible fourth SM family heavy neutrino. Using the channel
h-> v4 v4->mu W mu W-> mu j j mu j j, it is found that for certain ranges of
Higgs boson and v4 masses LHC could discover both of them simultaneously with 1
fb^-1 integrated luminosity.
| hep-ph | we investigate the possible enhancement to the discovery of the heavy higgs boson through the possible fourth sm family heavy neutrino using the channel h v4 v4mu w mu w mu j j mu j j it is found that for certain ranges of higgs boson and v4 masses lhc could discover both of them simultaneously with 1 fb1 integrated luminosity | [['we', 'investigate', 'the', 'possible', 'enhancement', 'to', 'the', 'discovery', 'of', 'the', 'heavy', 'higgs', 'boson', 'through', 'the', 'possible', 'fourth', 'sm', 'family', 'heavy', 'neutrino', 'using', 'the', 'channel', 'h', 'v4', 'v4mu', 'w', 'mu', 'w', 'mu', 'j', 'j', 'mu', 'j', 'j', 'it', 'is', 'found', 'that', 'for', 'certain', 'ranges', 'of', 'higgs', 'boson', 'and', 'v4', 'masses', 'lhc', 'could', 'discover', 'both', 'of', 'them', 'simultaneously', 'with', '1', 'fb1', 'integrated', 'luminosity']] | [-0.09009771905839443, 0.25241771089689186, 0.041717633837834, 0.11744513400869133, -0.09427583642148724, -0.2217855325434357, 0.08374863664309183, 0.34881661062439284, -0.23839046155723434, -0.3218916778763135, -0.03211087780849387, -0.3053030391223729, 0.06589601157854001, 0.09493323097315927, 0.09274495135371884, 0.06868702871724963, 0.07737416816526092, 0.005036934930831194, -0.03656158179316359, -0.3158029455381135, 0.2683888332142184, 0.01990781753944854, 0.1724531953164842, 0.03464842975420955, 0.06323263679320613, 0.03736118403806662, -0.09349512321253618, -0.165381725000528, -0.19275737492971529, 0.10838570169483622, 0.1866887585997271, 0.048776432010345164, 0.14740292066708208, -0.18739654894452543, -0.08626513280905783, 0.19509271785306434, 0.12680490040996423, 0.0011359121689262488, -0.032319503976032136, -0.31502843492198734, 0.16747508441718917, -0.24918825363274663, -0.12008034608637293, -0.0426239979841436, 0.09927546515439947, -0.10332985694209734, -0.37772028318916756, 0.07944343675626442, -0.02314996631660809, 0.015459962297851841, 0.0683716040259848, -0.27451198891891787, -0.15134489232053358, -0.06566822424841424, 0.12202305314907183, 0.061161201033974065, 0.15587542634069299, -0.1422391992372771, -0.16274999165907503, 0.36001478145190047, -0.14695307400155191, -0.10562802167454113, 0.22864829357034372, -0.1913582770929982, -0.10173866756352558, 0.12727170707657934, 0.18981274776160717, 0.020461148535832762, -0.20550737486531337, 0.2182806013840794, -0.05149124343297444, 0.1586628784930023, 0.06091756025950114, 0.06404211258050055, 0.23736514654010535, 0.14854166956307988, 0.017233815044164658, 0.013800642705367258, -0.1675878038207884, 0.005978658537302787, -0.42651623984177905, -0.1831069729834174, -0.0869577615056187, 0.09133453617493312, -0.038585083721894384, 0.0024417374283075334, 0.3309208774473518, 0.10791550986468793, 0.2806051515818884, -0.05616705675298969, 0.16469562705606222, 0.10967501619209846, 0.05664548882438491, 0.07553637858169775, 0.3101622180392345, 0.17520770939687888, 0.1667558757821098, -0.24910900177589307, -0.07539495386493703, 0.0682729426616182] |
707.3267 | Dynamics of Domain Wall Networks | Networks or webs of domain walls are admitted in Abelian or non-Abelian gauge
theory coupled to fundamental Higgs fields with complex masses. We examine the
dynamics of the domain wall loops by using the moduli approximation and find a
phase rotation induces a repulsive force which can be understood as a Noether
charge of Q-solitons. Non-Abelian gauge theory allows different types of loops
which can be deformed to each other by changing a modulus. This admits the
moduli geometry like a sandglass made by gluing the tips of the two
cigar-(cone-)like metrics of a single triangle loop. We conclude that the sizes
of all loops tend to grow for a late time in general models with complex Higgs
masses, while the sizes are stabilized at some values once triplet masses are
introduced for the Higgs fields. We also show that the stationary motion on the
moduli space of the domain wall webs represents 1/4 BPS Q-webs of walls.
| hep-th astro-ph cond-mat.mtrl-sci | networks or webs of domain walls are admitted in abelian or nonabelian gauge theory coupled to fundamental higgs fields with complex masses we examine the dynamics of the domain wall loops by using the moduli approximation and find a phase rotation induces a repulsive force which can be understood as a noether charge of qsolitons nonabelian gauge theory allows different types of loops which can be deformed to each other by changing a modulus this admits the moduli geometry like a sandglass made by gluing the tips of the two cigarconelike metrics of a single triangle loop we conclude that the sizes of all loops tend to grow for a late time in general models with complex higgs masses while the sizes are stabilized at some values once triplet masses are introduced for the higgs fields we also show that the stationary motion on the moduli space of the domain wall webs represents 14 bps qwebs of walls | [['networks', 'or', 'webs', 'of', 'domain', 'walls', 'are', 'admitted', 'in', 'abelian', 'or', 'nonabelian', 'gauge', 'theory', 'coupled', 'to', 'fundamental', 'higgs', 'fields', 'with', 'complex', 'masses', 'we', 'examine', 'the', 'dynamics', 'of', 'the', 'domain', 'wall', 'loops', 'by', 'using', 'the', 'moduli', 'approximation', 'and', 'find', 'a', 'phase', 'rotation', 'induces', 'a', 'repulsive', 'force', 'which', 'can', 'be', 'understood', 'as', 'a', 'noether', 'charge', 'of', 'qsolitons', 'nonabelian', 'gauge', 'theory', 'allows', 'different', 'types', 'of', 'loops', 'which', 'can', 'be', 'deformed', 'to', 'each', 'other', 'by', 'changing', 'a', 'modulus', 'this', 'admits', 'the', 'moduli', 'geometry', 'like', 'a', 'sandglass', 'made', 'by', 'gluing', 'the', 'tips', 'of', 'the', 'two', 'cigarconelike', 'metrics', 'of', 'a', 'single', 'triangle', 'loop', 'we', 'conclude', 'that', 'the', 'sizes', 'of', 'all', 'loops', 'tend', 'to', 'grow', 'for', 'a', 'late', 'time', 'in', 'general', 'models', 'with', 'complex', 'higgs', 'masses', 'while', 'the', 'sizes', 'are', 'stabilized', 'at', 'some', 'values', 'once', 'triplet', 'masses', 'are', 'introduced', 'for', 'the', 'higgs', 'fields', 'we', 'also', 'show', 'that', 'the', 'stationary', 'motion', 'on', 'the', 'moduli', 'space', 'of', 'the', 'domain', 'wall', 'webs', 'represents', '14', 'bps', 'qwebs', 'of', 'walls']] | [-0.1643846510461979, 0.23706629732623696, -0.06799032053813435, 0.08527511728597902, -0.09952367248630466, -0.1229163339367596, 0.009943825263808203, 0.3818385330536826, -0.24816113952607788, -0.2671675347986135, 0.09843212034244865, -0.21677833607629343, -0.1096257756845179, 0.14469493246091494, -0.035391719896926896, -0.013959818617074127, 0.020432627895943724, 0.05264110178021448, -0.0646172493209385, -0.2578496244469924, 0.36223603816258465, -0.06491526370783421, 0.2559036525184071, 0.04076284262678259, 0.0751356058512125, -0.035701276581770705, 0.011790311099302217, 0.06728864426693619, -0.1192599631632964, 0.11947247465428376, 0.17768169911049608, 0.012432598037185607, 0.16988201842752176, -0.43789032699129027, -0.21499991630409637, 0.1310101950831421, 0.15911128280333595, 0.12878418012292353, -0.018252797656867943, -0.2939716145916322, 0.08413028383821056, -0.12066525847397068, -0.17261769794768278, -0.07931567057543858, 0.005847928839941304, 0.0009764431482150715, -0.2432499904542339, 0.06241864288454821, -0.001975082180027354, 0.029226177571607486, -0.061621252822692735, -0.09114241491709896, -0.11192870302452379, 0.10923055047547299, 0.08905567352164101, 0.04618791413082221, 0.15620239159128593, -0.19981288286069615, -0.15145609960226075, 0.3838944916625495, -0.055692494266315715, -0.23011893473789338, 0.18863633802983087, -0.12552815145667787, -0.10631746375727673, 0.12104954978741415, 0.13954283024317451, 0.1401748502001094, -0.1193439759035873, 0.13923487991855069, -0.024905718460848384, 0.14313166630121746, 0.11650638857723347, -0.020594389761069355, 0.27041128036179035, 0.13247605728275783, 0.03782673459197697, 0.14460452911088714, -0.05949463373406899, -0.11881091127583346, -0.3540725781969339, -0.14537604497413018, -0.09858627096740771, 0.07693729383338775, -0.12906562281738854, -0.18420771942413472, 0.3933028061299694, 0.07161900290294079, 0.22422477453735404, 0.04769750400416117, 0.23142746551258658, 0.05768801530070192, 0.13911721957605575, 0.03755985036289755, 0.24392069248704076, 0.13816541389036052, 0.07172683569566383, -0.20152177164246413, -0.060903685164408056, 0.12127600270988685] |
707.3268 | Characteristic classes of the Hilbert schemes of points on non-compact
simply-connected surfaces | We prove a closed formula expressing any multiplicative characteristic class
evaluated on the tangent bundle of the Hilbert schemes of points on a
non-compact simply-connected surface.
As a corollary, we deduce a closed formula for the Chern character of the
tangent bundles of these Hilbert schemes.
We also give a closed formula for the multiplicative characteristic classes
of the tautological bundles associated to a line bundle on the surface.
We finally remark which implications the results here have for the Hilbert
schemes of points of an arbitrary surface.
| math.AG math.AT | we prove a closed formula expressing any multiplicative characteristic class evaluated on the tangent bundle of the hilbert schemes of points on a noncompact simplyconnected surface as a corollary we deduce a closed formula for the chern character of the tangent bundles of these hilbert schemes we also give a closed formula for the multiplicative characteristic classes of the tautological bundles associated to a line bundle on the surface we finally remark which implications the results here have for the hilbert schemes of points of an arbitrary surface | [['we', 'prove', 'a', 'closed', 'formula', 'expressing', 'any', 'multiplicative', 'characteristic', 'class', 'evaluated', 'on', 'the', 'tangent', 'bundle', 'of', 'the', 'hilbert', 'schemes', 'of', 'points', 'on', 'a', 'noncompact', 'simplyconnected', 'surface', 'as', 'a', 'corollary', 'we', 'deduce', 'a', 'closed', 'formula', 'for', 'the', 'chern', 'character', 'of', 'the', 'tangent', 'bundles', 'of', 'these', 'hilbert', 'schemes', 'we', 'also', 'give', 'a', 'closed', 'formula', 'for', 'the', 'multiplicative', 'characteristic', 'classes', 'of', 'the', 'tautological', 'bundles', 'associated', 'to', 'a', 'line', 'bundle', 'on', 'the', 'surface', 'we', 'finally', 'remark', 'which', 'implications', 'the', 'results', 'here', 'have', 'for', 'the', 'hilbert', 'schemes', 'of', 'points', 'of', 'an', 'arbitrary', 'surface']] | [-0.23056244947524232, 0.03270239374003061, -0.10594268635296347, 0.08249074143929068, -0.09480657214722173, -0.14295397184535183, 0.05161664040960287, 0.34351450706493447, -0.26517027254555037, -0.13684749793769282, 0.07276201935283924, -0.18232253979129548, -0.19476444382665, 0.2956314697142013, -0.11078918996976096, 0.002571768635375933, 0.019079671243988825, 0.10649868820010769, -0.15586549615810244, -0.2860701671108307, 0.47926771818575536, -0.058729231897318226, 0.24343945782906798, 0.13476154837884347, 0.18124827279031955, -0.04268252777348442, 0.001371084712445736, -0.0024714428317648444, -0.18008927400759686, 0.1459067634264515, 0.2740449674046514, 0.032898202752800317, 0.20633302691964095, -0.41050229560245166, -0.17148766193052076, 0.18183353570797903, 0.09064472105290572, 0.038715820033261975, 0.013698272922655715, -0.27991049783304334, 0.07959471613338048, -0.14138609885280443, -0.20314368159002202, -0.08239100527399304, 0.06319751456083561, 0.018520418750333854, -0.2108421981525184, -0.05578442475929147, 0.12410360446665436, 0.14319648894227363, -0.14765447041612456, -0.08065029460439374, -0.06802802989576859, 0.05625154960646548, 0.00273580762388354, 0.005264213313983584, 0.10545368701621721, -0.06506365116431632, -0.1459721571617675, 0.34818054820326244, -0.11384805770384529, -0.2730578782714226, 0.07756601849740202, -0.11879364680763418, -0.12240266236899928, 0.15515718665185638, 0.14448231842834502, 0.2049074531638656, 0.03165716751986607, 0.16140419178885745, -0.1636650911109014, 0.05097275966016406, 0.07100021865599873, 0.029294766252860427, 0.12190095850647512, 0.056391752578995445, 0.0778895655715711, 0.13371434928690593, -0.08985673485188851, -0.07549248362722044, -0.4255040031011132, -0.32199921732006426, -0.13320928729477932, 0.1687125083990395, -0.13202638189117846, -0.21468041562581097, 0.4265048300254751, 0.011397934423505583, 0.2658991217930717, 0.15667551978284874, 0.25308540734377777, 0.12442941388871986, 0.05365677251988514, 0.0522450823654336, 0.1163752754853869, 0.2082878069380637, -0.051455143018922005, -0.1382261331332715, -0.018004674480339003, 0.218106898997741] |
707.3269 | International Standard for a Linguistic Annotation Framework | This paper describes the Linguistic Annotation Framework under development
within ISO TC37 SC4 WG1. The Linguistic Annotation Framework is intended to
serve as a basis for harmonizing existing language resources as well as
developing new ones.
| cs.CL | this paper describes the linguistic annotation framework under development within iso tc37 sc4 wg1 the linguistic annotation framework is intended to serve as a basis for harmonizing existing language resources as well as developing new ones | [['this', 'paper', 'describes', 'the', 'linguistic', 'annotation', 'framework', 'under', 'development', 'within', 'iso', 'tc37', 'sc4', 'wg1', 'the', 'linguistic', 'annotation', 'framework', 'is', 'intended', 'to', 'serve', 'as', 'a', 'basis', 'for', 'harmonizing', 'existing', 'language', 'resources', 'as', 'well', 'as', 'developing', 'new', 'ones']] | [-0.01901532451489142, -0.008731909495379244, -0.03695167223257678, 0.11865763749395097, -0.18833402964685644, -0.13195034205647452, 0.04927474956493825, 0.3802012296659606, -0.23387234482382024, -0.3492367986057486, 0.03781029929273895, -0.20225698421044008, -0.13141558404479708, 0.18169498589954206, -0.1506751607105668, 0.06530964172312191, 0.03945498958762203, 0.0121168281350817, 0.016107756112303053, -0.1437279242490019, 0.26299004379127705, 0.12903392176542963, 0.36244880727359224, 0.01824510537054656, 0.03462977483868599, -0.030337043066642113, -0.07114574129560164, -0.0477662277008806, -0.07052810333802231, 0.19121110292617233, 0.4778084018400737, 0.31302099301080616, 0.3774574451547648, -0.40443999581038953, -0.2026124782727233, -0.03204038097922291, 0.14422100189008882, 0.10618299820593426, 0.005886814184486866, -0.3512406650265413, -5.469444606985364e-06, -0.27429585829377173, -0.041073072542037285, -0.17799133923503438, -0.034698697073119025, 0.003485929433788572, -0.24572080509138428, -0.008284721962575401, 0.05944506752504302, 0.15402150553252017, -0.07071541715413332, -0.1379084802631821, 0.04984156337034489, 0.17571558285770672, 0.03539139553571918, 0.11783566605299711, 0.13918271091367518, -0.09882288511975536, -0.14167927325969296, 0.46519356157098496, -0.0629382605531386, -0.2426666212933404, 0.1931089216311063, 0.0486564928399665, -0.18944212506924357, -0.031274576744596876, 0.16068116426467896, 0.026995954662561418, -0.26778409012726373, 0.06653841558311667, -0.011662417437349047, 0.19630514580224243, 0.046003174748537795, 0.08696188926696777, 0.1792246674852712, 0.33339988365769385, -0.016247067307787282, 0.12593551693218094, 0.0035833666899374554, -0.06306822876046811, -0.35610758056864145, -0.20500349881393568, -0.12911366509007557, -0.05124090510819639, 0.01849401043727994, -0.18464071271342358, 0.33502216977732524, 0.18458634577691554, 0.08266860542020628, 0.13686608163905994, 0.32982554201568876, -0.02730154664854386, 0.13490094308342251, 0.06703143053288971, 0.07383171298674175, -0.0418703878564494, 0.20545332218919482, -0.08209972691589168, 0.1440656283338155, 0.10259746577482604] |
707.327 | A Formal Model of Dictionary Structure and Content | We show that a general model of lexical information conforms to an abstract
model that reflects the hierarchy of information found in a typical dictionary
entry. We show that this model can be mapped into a well-formed XML document,
and how the XSL transformation language can be used to implement a semantics
defined over the abstract model to enable extraction and manipulation of the
information in any format.
| cs.CL | we show that a general model of lexical information conforms to an abstract model that reflects the hierarchy of information found in a typical dictionary entry we show that this model can be mapped into a wellformed xml document and how the xsl transformation language can be used to implement a semantics defined over the abstract model to enable extraction and manipulation of the information in any format | [['we', 'show', 'that', 'a', 'general', 'model', 'of', 'lexical', 'information', 'conforms', 'to', 'an', 'abstract', 'model', 'that', 'reflects', 'the', 'hierarchy', 'of', 'information', 'found', 'in', 'a', 'typical', 'dictionary', 'entry', 'we', 'show', 'that', 'this', 'model', 'can', 'be', 'mapped', 'into', 'a', 'wellformed', 'xml', 'document', 'and', 'how', 'the', 'xsl', 'transformation', 'language', 'can', 'be', 'used', 'to', 'implement', 'a', 'semantics', 'defined', 'over', 'the', 'abstract', 'model', 'to', 'enable', 'extraction', 'and', 'manipulation', 'of', 'the', 'information', 'in', 'any', 'format']] | [-0.048467896796543807, 0.03449652044925161, -0.1361157619394362, 0.11292475150206455, -0.12375032759326346, -0.15178163125015356, 0.030554939075099194, 0.38650115469799323, -0.36079089507898865, -0.3160904310095836, 0.07296076230362386, -0.23710906305624282, -0.14899874899385715, 0.14800004873369985, -0.09308591901379473, -0.01582702953258858, 0.06539060128852725, 0.09408007360659265, -0.07996095946017544, -0.19887502279187388, 0.2869190117686658, 0.011251486536553678, 0.29195650241009014, 0.03299104896209696, 0.11730635548284386, -0.008445287539122064, -0.04659779128782889, 0.029620785142897683, -0.08222621735277404, 0.18185095494503484, 0.33343765355975313, 0.2795667386997272, 0.23451216218938284, -0.42612384128219943, -0.1871472773114767, 0.07134310954579097, 0.15235647504382274, 0.15570592695354102, -0.002107494031353032, -0.3019969537306358, 0.08001000871060088, -0.2317875669344657, -0.01404244644457803, -0.14231218357556774, -0.01806420830133207, -0.037401107571306914, -0.2697357249220231, -0.03774246130026714, 0.14345202025245218, 0.029484906288630822, -0.06304486033246469, -0.026555627952535254, -0.056081247885766274, 0.13697333567474476, -0.05838068090516197, 0.06478963859605275, 0.10389643066788695, -0.0999608979361844, -0.12593728193657144, 0.4245900856057072, -0.08854898855925593, -0.24578103932606823, 0.13771425264284892, -0.04065974910661359, -0.1477580329622416, 0.06743705265826601, 0.1990652983813026, 0.05605660677504014, -0.18177577671047082, 0.06449825069969795, -0.08535151287694187, 0.30029617552645504, 0.056857868446968496, 0.01610751921629451, 0.24032831497435622, 0.21081204915090518, -0.016721713863422766, 0.17505336566211874, -0.010714196161750485, -0.06697615151129224, -0.28593107586836114, -0.17718846348169096, -0.14747304362518823, -0.02810837599613211, -0.08990491662980811, -0.15707814503077636, 0.4148046392536558, 0.26811023630366165, 0.2169085683177828, 0.05831729307058541, 0.2730914117111003, 0.08019830160500373, 0.1316888664082131, 0.06574713136069477, 0.09208427533945616, 0.012422705671804793, 0.13279783295007186, -0.12278996555901625, 0.1198988696491784, 0.057765746819153294] |
707.3271 | A survey on the interplay between arithmetic mean ideals, traces,
lattices of operator ideals, and an infinite Schur-Horn majorization theorem | The work of Dykema, Figiel, Weiss, and Wodzicki on the structure of
commutators showed that arithmetic means play an important role in the study of
operator ideals, and we explored their role in a multipaper project which we
survey in this article. We start by presenting the notions of arithmetic mean
ideals and arithmetic mean at infinity ideals. Then we explore their
connections with commutator spaces, traces, elementary operators, lattice and
sublattice structure of ideals, arithmetic mean ideal cancellation properties
of first and second order, and softness properties - a term that we introduced
but a notion ubiquitous in the literature on operator ideals. Arithmetic mean
closure of ideals leads us to investigate majorization for infinite sequences
and this in turn leads us to an infinite Schur-Horn majorization theorem which
extends theorems by A. Neumann, by Arveson and Kadison, and by Antezana,
Massey, Ruiz and Stojanoff. We also list ten open questions that we encountered
in the development of this material.
| math.FA math.OA | the work of dykema figiel weiss and wodzicki on the structure of commutators showed that arithmetic means play an important role in the study of operator ideals and we explored their role in a multipaper project which we survey in this article we start by presenting the notions of arithmetic mean ideals and arithmetic mean at infinity ideals then we explore their connections with commutator spaces traces elementary operators lattice and sublattice structure of ideals arithmetic mean ideal cancellation properties of first and second order and softness properties a term that we introduced but a notion ubiquitous in the literature on operator ideals arithmetic mean closure of ideals leads us to investigate majorization for infinite sequences and this in turn leads us to an infinite schurhorn majorization theorem which extends theorems by a neumann by arveson and kadison and by antezana massey ruiz and stojanoff we also list ten open questions that we encountered in the development of this material | [['the', 'work', 'of', 'dykema', 'figiel', 'weiss', 'and', 'wodzicki', 'on', 'the', 'structure', 'of', 'commutators', 'showed', 'that', 'arithmetic', 'means', 'play', 'an', 'important', 'role', 'in', 'the', 'study', 'of', 'operator', 'ideals', 'and', 'we', 'explored', 'their', 'role', 'in', 'a', 'multipaper', 'project', 'which', 'we', 'survey', 'in', 'this', 'article', 'we', 'start', 'by', 'presenting', 'the', 'notions', 'of', 'arithmetic', 'mean', 'ideals', 'and', 'arithmetic', 'mean', 'at', 'infinity', 'ideals', 'then', 'we', 'explore', 'their', 'connections', 'with', 'commutator', 'spaces', 'traces', 'elementary', 'operators', 'lattice', 'and', 'sublattice', 'structure', 'of', 'ideals', 'arithmetic', 'mean', 'ideal', 'cancellation', 'properties', 'of', 'first', 'and', 'second', 'order', 'and', 'softness', 'properties', 'a', 'term', 'that', 'we', 'introduced', 'but', 'a', 'notion', 'ubiquitous', 'in', 'the', 'literature', 'on', 'operator', 'ideals', 'arithmetic', 'mean', 'closure', 'of', 'ideals', 'leads', 'us', 'to', 'investigate', 'majorization', 'for', 'infinite', 'sequences', 'and', 'this', 'in', 'turn', 'leads', 'us', 'to', 'an', 'infinite', 'schurhorn', 'majorization', 'theorem', 'which', 'extends', 'theorems', 'by', 'a', 'neumann', 'by', 'arveson', 'and', 'kadison', 'and', 'by', 'antezana', 'massey', 'ruiz', 'and', 'stojanoff', 'we', 'also', 'list', 'ten', 'open', 'questions', 'that', 'we', 'encountered', 'in', 'the', 'development', 'of', 'this', 'material']] | [-0.13926368311970821, 0.10085462187523016, -0.09202921452475185, 0.11061722306760156, -0.07227353072936102, -0.0703595963353584, 0.03885257490852016, 0.3280602423576697, -0.32655545814056536, -0.22980551033298363, 0.1288443105983542, -0.2901712029911695, -0.16024696272900388, 0.1584231672433656, -0.1514367403802257, 0.030882563143265696, 0.032124087542482894, 0.03250541997071848, -0.08369980074916293, -0.2964897221686471, 0.39219620149676343, 0.05057678821221369, 0.19563825110430424, 0.08129870176582367, 0.08262625466863795, 0.027992657930502353, -0.08165379678069046, 0.008186794319570815, -0.2008518213940233, 0.18925150453388315, 0.27201551151807485, 0.08210037337065493, 0.3090740912593901, -0.4009905457496643, -0.1049455288554536, 0.14267741730905273, 0.13564385772454288, 0.0030034408976364903, -0.01574984114066516, -0.24479851004251707, 0.08264693845672615, -0.17791386680536955, -0.15540234638786576, -0.09966523884707745, 0.026379676524010843, 0.025690920216048945, -0.2356999058711325, 0.03444159649727638, 0.18439956534648044, 0.18191378233652655, -0.06532145703486723, -0.09799642726169817, 0.035016742938362155, 0.06756616224763247, -0.0012201035406979375, -0.0063080762797796735, 0.06590803242552112, -0.08817312832623017, -0.15804488366212016, 0.32471951463482335, -0.037536175526918715, -0.16457219493323527, 0.10847576905287942, -0.15963131894574226, -0.16138879424722502, 0.03513198020888504, 0.08741290924730916, 0.10622577105338375, -0.07859004952039851, 0.15429573111549466, -0.09590293246807542, 0.07459185304743994, 0.12703264384009177, 0.07416222838731776, 0.12841684093300557, 0.05649362358047902, 0.06048669918211845, 0.17743354815837442, 0.025421806432470773, -0.07642345879418752, -0.30705266595238223, -0.19325008113874392, -0.10894376961162912, 0.09063959943658509, -0.07056120206413749, -0.1903070293413768, 0.417552812212387, 0.16127489327376932, 0.15806404890275835, 0.07811501232245292, 0.19887962867359413, 0.05882859818414791, 0.05544021866744115, 0.0639882312352482, 0.1345143788611317, 0.26325362664208096, 0.06607693101762854, -0.1777470176148085, 0.015178536805880707, 0.21805723405987867] |
707.3272 | Operator valued frames | We develop a natural generalization of vector-valued frame theory, we term
operator-valued frame theory, using operator-algebraic methods. This extends
work of the second author and D. Han which can be viewed as the multiplicity
one case and extends to higher multiplicity (e.g., multiframes) their dilation
approach. We prove several results for operator-valued frames concerning their
parametrization, duality, disjointeness, complementarity, and composition and
the relationship between the two types of similarity (left and right) of such
frames. We then apply these notions to prove that the collection of multiframe
generators for the action of a discrete group on a Hilbert space is norm
pathwise-connected precisely when the von Neumann algebra generated by the
right representation of the group has no minimal projections. The proof is
obtained by parametrizing this collection by a class of partial isometries in a
larger von Neumann algebra. In the multiplicity one case this class reduces to
the unitary class which is path-connected in norm, but in the infinite
multiplicity case this class is path connected only in the strong operator
topology and the proof depends on properties of tensor product slice maps.
| math.FA math.OA | we develop a natural generalization of vectorvalued frame theory we term operatorvalued frame theory using operatoralgebraic methods this extends work of the second author and d han which can be viewed as the multiplicity one case and extends to higher multiplicity eg multiframes their dilation approach we prove several results for operatorvalued frames concerning their parametrization duality disjointeness complementarity and composition and the relationship between the two types of similarity left and right of such frames we then apply these notions to prove that the collection of multiframe generators for the action of a discrete group on a hilbert space is norm pathwiseconnected precisely when the von neumann algebra generated by the right representation of the group has no minimal projections the proof is obtained by parametrizing this collection by a class of partial isometries in a larger von neumann algebra in the multiplicity one case this class reduces to the unitary class which is pathconnected in norm but in the infinite multiplicity case this class is path connected only in the strong operator topology and the proof depends on properties of tensor product slice maps | [['we', 'develop', 'a', 'natural', 'generalization', 'of', 'vectorvalued', 'frame', 'theory', 'we', 'term', 'operatorvalued', 'frame', 'theory', 'using', 'operatoralgebraic', 'methods', 'this', 'extends', 'work', 'of', 'the', 'second', 'author', 'and', 'd', 'han', 'which', 'can', 'be', 'viewed', 'as', 'the', 'multiplicity', 'one', 'case', 'and', 'extends', 'to', 'higher', 'multiplicity', 'eg', 'multiframes', 'their', 'dilation', 'approach', 'we', 'prove', 'several', 'results', 'for', 'operatorvalued', 'frames', 'concerning', 'their', 'parametrization', 'duality', 'disjointeness', 'complementarity', 'and', 'composition', 'and', 'the', 'relationship', 'between', 'the', 'two', 'types', 'of', 'similarity', 'left', 'and', 'right', 'of', 'such', 'frames', 'we', 'then', 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707.3273 | The ALFALFA Search for (Almost) Dark Galaxies across the HI Mass
Function | The Arecibo Legacy Fast ALFA (ALFALFA) survey is a second generation blind
extragalactic HI survey currently in progess which is exploiting Arecibo's
superior sensitivity, angular resolution and digital technology to derive a
census of the local HI universe over a cosmologically significant volume. As of
the time of this meeting, some 4500 good quality extragalactic HI line sources
have been identified in about 15% of the final survey area. ALFALFA is
detecting HI masses as low as 10**6 solar masses and as large as 10**10.8 solar
masses with positional accuracies typically better than 20", allowing immediate
identification of the most probable optical counterparts. Only 3% of all
extragalactic HI sources and less than 1% of detections with HI mass 10**9.5
solar masses cannot be identified with a stellar component. Because ALFALFA is
far from complete, the discussion here focuses on limitations of past surveys
that ALFALFA will overcome because of its greater volume, sensitivity and
reduced susceptibility to source confusion and on a sampling of illustrative
preliminary results. First ALFALFA results already suggest, in agreement with
previous studies, that there does not appear to be a cosmologically significant
population of optically dark but HI rich galaxies. ALFALFA promises a wealthy
dataset for the exploration of many issues in near-field cosmology and galaxy
evolution studies, setting the stage for their extension to higher redshifts in
the future with the Square Kilometer Array (SKA).
| astro-ph | the arecibo legacy fast alfa alfalfa survey is a second generation blind extragalactic hi survey currently in progess which is exploiting arecibos superior sensitivity angular resolution and digital technology to derive a census of the local hi universe over a cosmologically significant volume as of the time of this meeting some 4500 good quality extragalactic hi line sources have been identified in about 15 of the final survey area alfalfa is detecting hi masses as low as 106 solar masses and as large as 10108 solar masses with positional accuracies typically better than 20 allowing immediate identification of the most probable optical counterparts only 3 of all extragalactic hi sources and less than 1 of detections with hi mass 1095 solar masses cannot be identified with a stellar component because alfalfa is far from complete the discussion here focuses on limitations of past surveys that alfalfa will overcome because of its greater volume sensitivity and reduced susceptibility to source confusion and on a sampling of illustrative preliminary results first alfalfa results already suggest in agreement with previous studies that there does not appear to be a cosmologically significant population of optically dark but hi rich galaxies alfalfa promises a wealthy dataset for the exploration of many issues in nearfield cosmology and galaxy evolution studies setting the stage for their extension to higher redshifts in the future with the square kilometer array ska | [['the', 'arecibo', 'legacy', 'fast', 'alfa', 'alfalfa', 'survey', 'is', 'a', 'second', 'generation', 'blind', 'extragalactic', 'hi', 'survey', 'currently', 'in', 'progess', 'which', 'is', 'exploiting', 'arecibos', 'superior', 'sensitivity', 'angular', 'resolution', 'and', 'digital', 'technology', 'to', 'derive', 'a', 'census', 'of', 'the', 'local', 'hi', 'universe', 'over', 'a', 'cosmologically', 'significant', 'volume', 'as', 'of', 'the', 'time', 'of', 'this', 'meeting', 'some', '4500', 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707.3274 | Self-Organized Growth of Nanoparticles on a Surface Patterned by a
Buried Dislocation Network | The self-organized growth of Co nanoparticles with 10 nm periodicity was
achieved at room temperature on a Ag(001) surface patterned by an underlying
dislocation network, as shown by real time, in situ Grazing Incidence Small and
Wide Angle X-ray Scattering. The misfit dislocation network, buried at the
interface between a 5nm-thick Ag thin film and a MgO(001) substrate, induces a
periodic strain field on top of the surface. Nucleation and growth of Co on
tensile areas are found as the most favorable sites as highlighted by Molecular
Dynamic simulations.
| cond-mat.mtrl-sci | the selforganized growth of co nanoparticles with 10 nm periodicity was achieved at room temperature on a ag001 surface patterned by an underlying dislocation network as shown by real time in situ grazing incidence small and wide angle xray scattering the misfit dislocation network buried at the interface between a 5nmthick ag thin film and a mgo001 substrate induces a periodic strain field on top of the surface nucleation and growth of co on tensile areas are found as the most favorable sites as highlighted by molecular dynamic simulations | [['the', 'selforganized', 'growth', 'of', 'co', 'nanoparticles', 'with', '10', 'nm', 'periodicity', 'was', 'achieved', 'at', 'room', 'temperature', 'on', 'a', 'ag001', 'surface', 'patterned', 'by', 'an', 'underlying', 'dislocation', 'network', 'as', 'shown', 'by', 'real', 'time', 'in', 'situ', 'grazing', 'incidence', 'small', 'and', 'wide', 'angle', 'xray', 'scattering', 'the', 'misfit', 'dislocation', 'network', 'buried', 'at', 'the', 'interface', 'between', 'a', '5nmthick', 'ag', 'thin', 'film', 'and', 'a', 'mgo001', 'substrate', 'induces', 'a', 'periodic', 'strain', 'field', 'on', 'top', 'of', 'the', 'surface', 'nucleation', 'and', 'growth', 'of', 'co', 'on', 'tensile', 'areas', 'are', 'found', 'as', 'the', 'most', 'favorable', 'sites', 'as', 'highlighted', 'by', 'molecular', 'dynamic', 'simulations']] | [-0.12225571640353818, 0.18971720262148725, 0.020087872388552915, -0.021525590910754178, 0.023885502176505796, -0.1154207872080334, 0.055617374229359993, 0.4770452030986715, -0.2782065239015527, -0.3122133342235276, 0.07719187221746222, -0.25737350216407456, -0.15841216604445088, 0.20330977429416072, 0.03856721022323276, 0.037826364447906866, -0.0025701189120666363, -0.09652232292913988, -0.04461582831703545, -0.22418470768613763, 0.26432652525038697, 0.08546554653518153, 0.3477656089732151, 0.11508668697533313, 0.04241966059054719, 0.011850669315566173, 0.10178534143206695, 0.04617103596029573, -0.18988413787499236, 0.0558647143854328, 0.21924553554128395, -0.1110124772969173, 0.20038722987087926, -0.527855355376273, -0.23822648506193014, -0.08876509382127878, 0.08694060135036288, 0.07713350895373675, -0.09547075913470825, -0.2518635267977802, 0.08728972366969154, -0.05421436540625487, -0.12912572940175973, 0.04333598075403173, 0.037046536061588385, 0.017401417085555582, -0.21333700056211352, 0.06301800912936752, 0.01238730845951967, 0.16253305988365344, -0.08403876567196646, -0.09976473467926798, -0.19285704041674231, 0.024603449211068704, 0.030139893063166168, 0.07973323419580257, 0.2857922584111436, -0.07487729969277476, -0.07356997211777679, 0.3513970569069131, -0.04030388279483141, -0.0598513147260031, 0.2336374538207657, -0.1695418562059908, 0.005917669347162997, 0.24625682393402865, 0.1665602709386456, 0.09382690168561393, -0.1351512250846273, 0.0580469080949401, -0.0012753657640868358, 0.23278201620481656, 0.19355679131793171, -0.0548534674904822, 0.26514944953195163, 0.2717860765098542, 0.05097113901309753, 0.12645609215885567, -0.20940103461662454, 0.009872390490987997, -0.18412513264946723, -0.15741688346887908, -0.21697434126347137, 0.07693168261151216, -0.16311389780711263, -0.22201425033939343, 0.3076997611284507, 0.008805521810950522, 0.18044217658134992, -0.037233973173110675, 0.19476530543434317, 0.02600394327094088, 0.09353412333823573, -0.004514860329375173, 0.2274556498885615, 0.18316239022827718, 0.14793926049720396, -0.23425512338119947, 0.1675792621511422, -0.022248506616654524] |
707.3275 | Virgo Early-Type Dwarfs in ALFALFA | Early-type dwarf galaxies dominate cluster populations, but their formation
and evolutionary histories are poorly understood. The ALFALFA (Arecibo Legacy
Fast ALFA) survey has completed observations of the Virgo Cluster in the
declination range of 6 - 16 degrees. Less than 2% of the early-type dwarf
population is detected, a significantly lower fraction than reported in
previous papers based on more limited samples. In contrast ~30 of the
irregular/BCD dwarf population is detected. The detected early-type galaxies
tend to be located in the outer regions of the cluster, with a concentration in
the direction of the M Cloud. Many show evidence for ongoing/recent star
formation. Galaxies such as these may be undergoing morphological transition
due to cluster environmental effects.
| astro-ph | earlytype dwarf galaxies dominate cluster populations but their formation and evolutionary histories are poorly understood the alfalfa arecibo legacy fast alfa survey has completed observations of the virgo cluster in the declination range of 6 16 degrees less than 2 of the earlytype dwarf population is detected a significantly lower fraction than reported in previous papers based on more limited samples in contrast 30 of the irregularbcd dwarf population is detected the detected earlytype galaxies tend to be located in the outer regions of the cluster with a concentration in the direction of the m cloud many show evidence for ongoingrecent star formation galaxies such as these may be undergoing morphological transition due to cluster environmental effects | [['earlytype', 'dwarf', 'galaxies', 'dominate', 'cluster', 'populations', 'but', 'their', 'formation', 'and', 'evolutionary', 'histories', 'are', 'poorly', 'understood', 'the', 'alfalfa', 'arecibo', 'legacy', 'fast', 'alfa', 'survey', 'has', 'completed', 'observations', 'of', 'the', 'virgo', 'cluster', 'in', 'the', 'declination', 'range', 'of', '6', '16', 'degrees', 'less', 'than', '2', 'of', 'the', 'earlytype', 'dwarf', 'population', 'is', 'detected', 'a', 'significantly', 'lower', 'fraction', 'than', 'reported', 'in', 'previous', 'papers', 'based', 'on', 'more', 'limited', 'samples', 'in', 'contrast', '30', 'of', 'the', 'irregularbcd', 'dwarf', 'population', 'is', 'detected', 'the', 'detected', 'earlytype', 'galaxies', 'tend', 'to', 'be', 'located', 'in', 'the', 'outer', 'regions', 'of', 'the', 'cluster', 'with', 'a', 'concentration', 'in', 'the', 'direction', 'of', 'the', 'm', 'cloud', 'many', 'show', 'evidence', 'for', 'ongoingrecent', 'star', 'formation', 'galaxies', 'such', 'as', 'these', 'may', 'be', 'undergoing', 'morphological', 'transition', 'due', 'to', 'cluster', 'environmental', 'effects']] | [-0.09202128909789187, 0.11153286856053204, -0.059821572748879934, 0.0906844724407259, -0.10192475838642888, -0.010021488567621544, 0.06203391630973282, 0.4151958991484395, -0.10856976718561531, -0.39253385486241815, 0.06902608504530909, -0.2941053194587986, -0.04384239459338052, 0.1895894823723336, -0.023282605970021467, -0.08373988780558334, 0.07809962905543968, -0.08329256110150239, -0.023296231436061448, -0.35252187630274046, 0.23240202883105918, 0.0724351511112061, 0.15099144690059896, -0.13791344539615616, 0.016234872380978073, -0.12243817436332204, -0.13246135230995074, -0.03880683878629372, -0.12964695998756537, -0.009051361619013137, 0.2873273708472221, 0.14254386528346943, 0.267116938876229, -0.37952818935897586, -0.18231581179686052, 0.10356194615075044, 0.28552270289269627, 0.03549106968245629, -0.1078796553791045, -0.32151927260264496, 0.09476709123580428, -0.1962390591968493, -0.17116249566355818, 0.12484261158307822, 0.0462310865284586, 0.05655801396541988, -0.15291141406913963, 0.20125485436412796, 0.0418513054509872, 0.12443217167084844, -0.10190422733611396, -0.15233959513314968, -0.07047644439394232, 0.0898142257044975, -0.030336792819635493, 0.12053475675076761, 0.26043893538158513, -0.14794650917535584, 0.016386237716029303, 0.39782983114429077, -0.01214643592112256, 0.03243118351935569, 0.29731284231469357, -0.25447846836699495, -0.2021625437733621, 0.13442135854059195, 0.16781351203048714, 0.12118134503493663, -0.18275127382065845, -0.0019798085805036707, 0.006053764549694185, 0.21518428180495214, 0.03942006539376774, 0.09681893392176978, 0.29990948654775473, 0.12744869011582743, 0.09085747003826264, 0.08408583034078815, -0.23784525065225195, -0.056329792004142856, -0.14873109516338445, -0.06176124454540168, -0.13978458524697684, 0.07409853297125163, -0.08195429130701713, -0.09112270917454414, 0.3259560359433165, 0.07046150330731099, 0.2192111364907007, 0.08083620266426869, 0.26516362019926953, 0.030736097544110542, 0.17838175544025506, 0.1113921745423356, 0.30085555529462754, 0.18429290994616418, 0.06829114840667021, -0.2050435623989023, 0.1150735584689818, -0.06331176725858502] |
707.3276 | Functional Equation for Theta Series | In this short paper, we find the transformation formula for the theta series
under the action of the Jacobi modular group on the Siegel-Jacobi space. This
formula generalizes the formula (5.1) obtained by Mumford in his book[p.189,
Tata Lectures on Theta I (1983), Birkhauser].
| math.NT | in this short paper we find the transformation formula for the theta series under the action of the jacobi modular group on the siegeljacobi space this formula generalizes the formula 51 obtained by mumford in his bookp189 tata lectures on theta i 1983 birkhauser | [['in', 'this', 'short', 'paper', 'we', 'find', 'the', 'transformation', 'formula', 'for', 'the', 'theta', 'series', 'under', 'the', 'action', 'of', 'the', 'jacobi', 'modular', 'group', 'on', 'the', 'siegeljacobi', 'space', 'this', 'formula', 'generalizes', 'the', 'formula', '51', 'obtained', 'by', 'mumford', 'in', 'his', 'bookp189', 'tata', 'lectures', 'on', 'theta', 'i', '1983', 'birkhauser']] | [-0.17350243391512438, 0.04465190538876625, -0.14463155430763266, 0.035649154917337, -0.0897740549299606, -0.09355772360292978, 0.04063558802929122, 0.2619047088678493, -0.24143882324312663, -0.26942409367062325, 0.09371466961212803, -0.22081929046747295, -0.241445719632645, 0.2532512764338144, -0.1671843930732372, -0.02586913230114205, 0.008873701555827675, 0.07639805032590101, -0.1338657675267652, -0.3289106755495764, 0.35739200774493607, 0.040223086602054536, 0.24717228019306825, 0.01645234380280166, 0.11241065032866805, 0.09994751652486103, -0.08127557375295044, -0.14379799988751604, -0.2011460780577604, 0.15316658928383922, 0.2379839069015065, 0.08586683890208342, 0.2031093403632038, -0.35303532635403234, -0.07787485243102839, 0.03543165693232833, 0.04137153241263573, -0.004184773863228255, 0.04309998819236319, -0.30073773401767706, -0.0012381614380797675, -0.18052348945029947, -0.15746821249770218, -0.03218870397743791, 0.10399856314409611, 0.001120284134738667, -0.1789043416637321, 0.04074666193755124, 0.09853426074652477, 0.16039967773005712, -0.08747912432218707, -0.13944417781867954, 0.06235088299699994, 0.04336234961831292, 0.0674149229429489, 0.08701978441934254, 0.0496974996031197, -0.07440352644554751, -0.041139230456982936, 0.35085482618143393, -0.10393264203137437, -0.18277684306769176, 0.03376766745824107, -0.184310493178579, -0.23655516221350448, 0.07575732237811006, 0.09522030650919606, 0.19253642176992672, -0.09424970885955317, 0.20814823723116585, -0.13687935349163274, 0.03324671442685432, 0.1945495767258974, -0.1212574825513848, 0.10437463713419992, -0.00017664644347373828, -0.03668874874711037, 0.13526977160079187, -0.006312098646493152, -0.07383209912290493, -0.3940193491533052, -0.20638975379771965, -0.1785434755864878, 0.10021898826194364, -0.08488445302341567, -0.11659663950288018, 0.41778519644596895, 0.05833655589281819, 0.14542346810488854, 0.13703146804297386, 0.15287144629414692, 0.15050405293410687, 0.017491816261480022, 0.05779300840181667, 0.14653941526532518, 0.1456781246342025, 0.10259682791264252, -0.1701016894346753, -0.00217616691275738, 0.27495973548570346] |
707.3277 | A 500 kpc HI Tail of the Virgo Pair NGC4532/DDO137 Detected by ALFALFA | HI observations of the Virgo Cluster pair NGC 4532/DDO 137, conducted as part
of the Arecibo Legacy Fast ALFA Survey (ALFALFA), reveal an HI feature
extending ~500 kpc to the southwest. The structure has a total mass of up to 7
x 10^8 solar masses, equivalent to 10% of the pair HI mass. Optical R imaging
reveals no counterparts to a level of 26.5 magnitudes per square arcsec. The
structure is likely the result of galaxy harassment.
| astro-ph | hi observations of the virgo cluster pair ngc 4532ddo 137 conducted as part of the arecibo legacy fast alfa survey alfalfa reveal an hi feature extending 500 kpc to the southwest the structure has a total mass of up to 7 x 108 solar masses equivalent to 10 of the pair hi mass optical r imaging reveals no counterparts to a level of 265 magnitudes per square arcsec the structure is likely the result of galaxy harassment | [['hi', 'observations', 'of', 'the', 'virgo', 'cluster', 'pair', 'ngc', '4532ddo', '137', 'conducted', 'as', 'part', 'of', 'the', 'arecibo', 'legacy', 'fast', 'alfa', 'survey', 'alfalfa', 'reveal', 'an', 'hi', 'feature', 'extending', '500', 'kpc', 'to', 'the', 'southwest', 'the', 'structure', 'has', 'a', 'total', 'mass', 'of', 'up', 'to', '7', 'x', '108', 'solar', 'masses', 'equivalent', 'to', '10', 'of', 'the', 'pair', 'hi', 'mass', 'optical', 'r', 'imaging', 'reveals', 'no', 'counterparts', 'to', 'a', 'level', 'of', '265', 'magnitudes', 'per', 'square', 'arcsec', 'the', 'structure', 'is', 'likely', 'the', 'result', 'of', 'galaxy', 'harassment']] | [-0.10419605284106809, 0.015630083946494518, -0.001178590568725939, 0.0572373803974093, -0.10365921913875968, -0.003863212712979936, 0.04313707565767812, 0.41528347323273684, -0.16098546156925814, -0.36987128421398147, 0.06213800336216129, -0.3551814190849855, -0.008337570218272604, 0.17354212934756047, 0.05007978825672687, -0.050770000897819634, 0.07412095222162543, -0.0930388844178917, -0.06450023713775656, -0.308936178806981, 0.18153925338614876, 0.12153484060900746, 0.13807480202310465, -0.02504596260206943, 0.13152276844318425, -0.12363466165064797, -0.1392660450202401, -0.11742629809909827, -0.12288938972542619, 0.02534972235270135, 0.23721032206259376, 0.14871592561460353, 0.2698309040936799, -0.2787730845852525, -0.07651871360245753, 0.03685394081274991, 0.2219420207646228, -0.03295896492003427, -0.022360081203862445, -0.3733694420450113, 0.10979604108754981, -0.21480843906181973, -0.24600271059974255, 0.158577145428046, 0.07352020393137808, 0.03313574785148943, -0.1888719274943646, 0.17844812704746116, -0.02017580375510764, 0.14004459282891316, -0.09963348141702061, -0.13832404752951358, -0.0763519699987653, 0.038215327421324205, -0.06252291386451136, 0.18216098672234116, 0.24678073840385134, -0.11225412558619079, 0.01421498675231955, 0.39858759315563486, -0.07649065359108537, 0.07790628699706746, 0.20563405469156704, -0.21710467485517457, -0.15485627061457602, 0.20676207962270535, 0.15385234117653077, 0.027691088725703878, -0.18664358718496107, 0.03529970975012168, -0.09007519655316681, 0.3034430095176031, 0.06323718211867592, 0.07857155465001585, 0.285578653216362, 0.0824951353095859, 0.13040023591587102, 0.0778755285813437, -0.3578931556942014, -0.0026401007100455946, -0.20315640359246112, -0.08099931035819766, -0.10944461872099669, 0.14004545460467216, -0.12619150532772402, -0.06947189135259235, 0.3409947929238634, 0.08994560239741324, 0.23774321445312302, 0.060626288912222756, 0.30898746700546187, 0.005299392100363099, 0.1826037039327157, 0.10258585642176596, 0.31024299975024994, 0.2508932081135837, 0.10587094660679047, -0.16657349066929772, -0.04409986529983096, -0.00853271110213132] |
707.3278 | ALFALFA: HI Cosmology in the Local Universe | For the last 25 years, the 21 cm line has been used productively to
investigate the large-scale structure of the Universe, its peculiar velocity
field and the measurement of cosmic parameters. In February 2005 a blind HI
survey that will cover 7074 square degrees of the high latitude sky was started
at Arecibo, using the 7-beam feed L-band feed array (ALFA). Known as the
Arecibo Legacy Fast ALFA (ALFALFA) Survey, the program is producing a census of
HI-bearing objects over a cosmologically significant volume of the local
Universe. With respect to previous blind HI surveys, ALFALFA offers an
improvement of about one order of magnitude in sensitivity, 4 times the angular
resolution, 3 times the spectral resolution, and 1.6 times the total bandwidth
of HIPASS. ALFALFA can detect 7 X 10**4 D**2 solar masses of HI, where D is the
source distance in Mpc. As of mid 2007, 44% of the survey observations and 15%
of the source extraction are completed. We discuss the status of the survey and
present a few preliminary results, in particular with reference to the proposed
"dark galaxy" VirgoHI21.
| astro-ph | for the last 25 years the 21 cm line has been used productively to investigate the largescale structure of the universe its peculiar velocity field and the measurement of cosmic parameters in february 2005 a blind hi survey that will cover 7074 square degrees of the high latitude sky was started at arecibo using the 7beam feed lband feed array alfa known as the arecibo legacy fast alfa alfalfa survey the program is producing a census of hibearing objects over a cosmologically significant volume of the local universe with respect to previous blind hi surveys alfalfa offers an improvement of about one order of magnitude in sensitivity 4 times the angular resolution 3 times the spectral resolution and 16 times the total bandwidth of hipass alfalfa can detect 7 x 104 d2 solar masses of hi where d is the source distance in mpc as of mid 2007 44 of the survey observations and 15 of the source extraction are completed we discuss the status of the survey and present a few preliminary results in particular with reference to the proposed dark galaxy virgohi21 | [['for', 'the', 'last', '25', 'years', 'the', '21', 'cm', 'line', 'has', 'been', 'used', 'productively', 'to', 'investigate', 'the', 'largescale', 'structure', 'of', 'the', 'universe', 'its', 'peculiar', 'velocity', 'field', 'and', 'the', 'measurement', 'of', 'cosmic', 'parameters', 'in', 'february', '2005', 'a', 'blind', 'hi', 'survey', 'that', 'will', 'cover', '7074', 'square', 'degrees', 'of', 'the', 'high', 'latitude', 'sky', 'was', 'started', 'at', 'arecibo', 'using', 'the', '7beam', 'feed', 'lband', 'feed', 'array', 'alfa', 'known', 'as', 'the', 'arecibo', 'legacy', 'fast', 'alfa', 'alfalfa', 'survey', 'the', 'program', 'is', 'producing', 'a', 'census', 'of', 'hibearing', 'objects', 'over', 'a', 'cosmologically', 'significant', 'volume', 'of', 'the', 'local', 'universe', 'with', 'respect', 'to', 'previous', 'blind', 'hi', 'surveys', 'alfalfa', 'offers', 'an', 'improvement', 'of', 'about', 'one', 'order', 'of', 'magnitude', 'in', 'sensitivity', '4', 'times', 'the', 'angular', 'resolution', '3', 'times', 'the', 'spectral', 'resolution', 'and', '16', 'times', 'the', 'total', 'bandwidth', 'of', 'hipass', 'alfalfa', 'can', 'detect', '7', 'x', '104', 'd2', 'solar', 'masses', 'of', 'hi', 'where', 'd', 'is', 'the', 'source', 'distance', 'in', 'mpc', 'as', 'of', 'mid', '2007', '44', 'of', 'the', 'survey', 'observations', 'and', '15', 'of', 'the', 'source', 'extraction', 'are', 'completed', 'we', 'discuss', 'the', 'status', 'of', 'the', 'survey', 'and', 'present', 'a', 'few', 'preliminary', 'results', 'in', 'particular', 'with', 'reference', 'to', 'the', 'proposed', 'dark', 'galaxy', 'virgohi21']] | [-0.10708946705072657, 0.03403456008598606, -0.02302896723141084, 0.027000316004926826, -0.0942337007955243, -0.022921113320120166, 0.02910165233492001, 0.37733460058782087, -0.1577811208806689, -0.37191132031306473, 0.16681361474532067, -0.31139159554194246, -0.003007452740111267, 0.18921201477591557, -0.010845674484659432, -0.0073862765544301665, 0.04718069048375701, -0.06862111564513053, -0.06273620763322865, -0.3284957476716954, 0.18910693571872442, 0.15378551335964838, 0.19213986184774473, -0.02112231080283654, 0.15094682474180288, -0.08785515198099386, -0.17188565016714047, -0.03339577979236112, -0.1349063842121525, 0.057985912359309506, 0.2609999331319198, 0.20330161821102197, 0.21606994283628528, -0.3296099928835326, -0.14143615341479587, 0.09003135158601926, 0.17689784465018538, 0.052738581905546394, -0.01837610199151601, -0.3325689697192739, 0.08337606943551572, -0.18908987948278713, -0.1773661264172836, 0.05474323758528993, 0.06674489718316971, 0.062216200751920595, -0.1861694405281172, 0.09472100918545671, -0.01432647405485825, 0.11900008602938413, -0.052271845279155175, -0.15064482988901032, 0.009739538459815894, 0.10486068296924476, -0.03795315993129802, 0.1394831001272668, 0.15271599567495286, -0.14982726825806109, -0.035858065898418834, 0.37015555395603017, -0.10131887638366922, 0.009984255826803628, 0.17189095251049605, -0.21850881129490596, -0.1683686180078202, 0.1937065673182192, 0.20070121796996557, 0.06672663245167908, -0.16486348642533616, 0.08468988061497879, -0.06424591174278327, 0.2493073927566318, 0.07888022649263882, 0.060106615462601716, 0.25450420160474174, 0.13954150672551527, 0.12379443581195791, 0.09118574437952306, -0.2978636512637857, -0.010600922007933665, -0.2673045934517058, -0.11008864904136356, -0.13656910715255197, 0.11414148910451964, -0.08323620585186924, -0.04109086041116034, 0.3927181030512261, 0.11671511594803356, 0.2023811705711642, 0.06452199345095204, 0.3117535950656494, 0.0007998563903485141, 0.10461306775181109, 0.07295790940027116, 0.29353300324620923, 0.15947137845669995, 0.17243052381989243, -0.14712665578522516, -0.02535386485270346, -0.011292965136184965] |
707.3279 | Origin of the numerals, Al biruni testimony | The origin of the numerals that we inherited from the arabo-Islamic
civilization remained one enigma. The hypothesis of the Indian origin remained,
with controversies, without serious rival. It was the dominant hypothesis since
more of one century. Its partisans found to it and constructed a lot of
arguments. The testimonies of the medieval authors have been interpreted to its
advantage. The opposite opinions have been dismissed and ignored. An amalgam
between the history of our modern numerals and the Indian mathematics history
is made. Rational contradictions often passed under silence. A meticulous
observation of the numerals permits to affirm that our numerals are in fact
more or less modified Arabic letters. The "Ghubari" shape of the numerals shows
that the symbol of a numeral corresponds to the Arabic letter whose numerical
value is equal to this numeral. The numerals don't have a simple resemblance
with some Arabic letters, but every number looks like the Arabic letter whose
numerical value is equal to this numeral. The elements of the ''Abjadi''
calculation gives us a theoretical support, independent of the letters and
numerals, witch explains our observation. Besides a re-lecture of the
testimonies of the medieval authors, particularly the testimony of Al-Biruni,
that is probably at the origin of all others testimonies speaking of the Indian
origin of the numerals, is in agreement with the fact that our numerals are
Arabic letters. We have there a second way concerning the origin of our modern
numerals that is only to its beginnings. The deepened researches are necessary
to understand the history of our numerals better. A rigorous re-lecture of the
medieval testimonies with a new mind imposes itself.
| math.HO | the origin of the numerals that we inherited from the araboislamic civilization remained one enigma the hypothesis of the indian origin remained with controversies without serious rival it was the dominant hypothesis since more of one century its partisans found to it and constructed a lot of arguments the testimonies of the medieval authors have been interpreted to its advantage the opposite opinions have been dismissed and ignored an amalgam between the history of our modern numerals and the indian mathematics history is made rational contradictions often passed under silence a meticulous observation of the numerals permits to affirm that our numerals are in fact more or less modified arabic letters the ghubari shape of the numerals shows that the symbol of a numeral corresponds to the arabic letter whose numerical value is equal to this numeral the numerals dont have a simple resemblance with some arabic letters but every number looks like the arabic letter whose numerical value is equal to this numeral the elements of the abjadi calculation gives us a theoretical support independent of the letters and numerals witch explains our observation besides a relecture of the testimonies of the medieval authors particularly the testimony of albiruni that is probably at the origin of all others testimonies speaking of the indian origin of the numerals is in agreement with the fact that our numerals are arabic letters we have there a second way concerning the origin of our modern numerals that is only to its beginnings the deepened researches are necessary to understand the history of our numerals better a rigorous relecture of the medieval testimonies with a new mind imposes itself | [['the', 'origin', 'of', 'the', 'numerals', 'that', 'we', 'inherited', 'from', 'the', 'araboislamic', 'civilization', 'remained', 'one', 'enigma', 'the', 'hypothesis', 'of', 'the', 'indian', 'origin', 'remained', 'with', 'controversies', 'without', 'serious', 'rival', 'it', 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707.328 | Trapping of strangelets in the geomagnetic field | Strangelets coming from the interstellar medium (ISM) are an interesting
target to experiments searching for evidence of this hypothetic state of
hadronic matter. We entertain the possibility of a {\it trapped} strangelet
population, quite analogous to ordinary nuclei and electron belts. For a
population of strangelets to be trapped by the geomagnetic field, these
incoming particles would have to fulfill certain conditions, namely having
magnetic rigidities above the geomagnetic cutoff and below a certain threshold
for adiabatic motion to hold. We show in this work that, for fully ionized
strangelets, there is a narrow window for stable trapping. An estimate of the
stationary population is presented and the dominant loss mechanisms discussed.
It is shown that the population would be substantially enhanced with respect to
the ISM flux (up to two orders of magnitude) due to quasi-stable trapping.
| nucl-th | strangelets coming from the interstellar medium ism are an interesting target to experiments searching for evidence of this hypothetic state of hadronic matter we entertain the possibility of a it trapped strangelet population quite analogous to ordinary nuclei and electron belts for a population of strangelets to be trapped by the geomagnetic field these incoming particles would have to fulfill certain conditions namely having magnetic rigidities above the geomagnetic cutoff and below a certain threshold for adiabatic motion to hold we show in this work that for fully ionized strangelets there is a narrow window for stable trapping an estimate of the stationary population is presented and the dominant loss mechanisms discussed it is shown that the population would be substantially enhanced with respect to the ism flux up to two orders of magnitude due to quasistable trapping | [['strangelets', 'coming', 'from', 'the', 'interstellar', 'medium', 'ism', 'are', 'an', 'interesting', 'target', 'to', 'experiments', 'searching', 'for', 'evidence', 'of', 'this', 'hypothetic', 'state', 'of', 'hadronic', 'matter', 'we', 'entertain', 'the', 'possibility', 'of', 'a', 'it', 'trapped', 'strangelet', 'population', 'quite', 'analogous', 'to', 'ordinary', 'nuclei', 'and', 'electron', 'belts', 'for', 'a', 'population', 'of', 'strangelets', 'to', 'be', 'trapped', 'by', 'the', 'geomagnetic', 'field', 'these', 'incoming', 'particles', 'would', 'have', 'to', 'fulfill', 'certain', 'conditions', 'namely', 'having', 'magnetic', 'rigidities', 'above', 'the', 'geomagnetic', 'cutoff', 'and', 'below', 'a', 'certain', 'threshold', 'for', 'adiabatic', 'motion', 'to', 'hold', 'we', 'show', 'in', 'this', 'work', 'that', 'for', 'fully', 'ionized', 'strangelets', 'there', 'is', 'a', 'narrow', 'window', 'for', 'stable', 'trapping', 'an', 'estimate', 'of', 'the', 'stationary', 'population', 'is', 'presented', 'and', 'the', 'dominant', 'loss', 'mechanisms', 'discussed', 'it', 'is', 'shown', 'that', 'the', 'population', 'would', 'be', 'substantially', 'enhanced', 'with', 'respect', 'to', 'the', 'ism', 'flux', 'up', 'to', 'two', 'orders', 'of', 'magnitude', 'due', 'to', 'quasistable', 'trapping']] | [-0.09169575733223768, 0.25623390173216426, -0.0706649884460089, 0.129214135451627, -0.029218800593693944, -0.10094579969924214, 0.03960747901431244, 0.3927678872925648, -0.23246679825883737, -0.3263149877585828, 0.03830389701339511, -0.2606420550880063, -0.01644548486143796, 0.18647759683443693, -0.019445148595284834, 0.01294531956385902, 0.03119805288852017, 0.011686581043540027, 0.009832712909395712, -0.22150993471006877, 0.30936084372882283, 0.09980065252739882, 0.20796084273066642, 0.06847957395476059, 0.06324205378642427, -0.0682550966857757, 0.02371148349619403, -0.0029206693550382834, -0.1123523930990537, 0.07779080385301748, 0.21754441109985329, 0.07775178750929679, 0.20359079625821955, -0.4298594082314251, -0.24773310616180516, 0.14985709557431223, 0.16477435395000098, 0.11699922471250276, -0.10457151939930476, -0.2720243743877264, 0.09182893798477354, -0.1694112581308877, -0.21627852387145918, -0.04505406555962627, 0.04425796144726295, 0.016977942584122975, -0.27994191327867896, 0.0668228520569729, 0.07401757001492154, 0.010853795348194199, -0.1119315860475805, -0.09459578437372988, -0.007532192633716741, 0.06725257552782263, 0.11376268695196326, 0.02584360673537721, 0.18243178685425201, -0.14827291181594826, -0.04548546019604133, 0.39364155298233894, -0.04700873091654933, -0.09673629169338856, 0.22171986963392398, -0.18938746830057082, -0.09500154164666985, 0.21765443463337378, 0.14862174909912806, 0.08198442136990311, -0.15975715921840805, 0.0076788632301242506, -0.046608963110686644, 0.1531730476071707, 0.10168894719960087, 0.044259402255588415, 0.27501999002381944, 0.16061436733824835, 0.11055716538153913, 0.11727098236704056, -0.10884108457147428, -0.08523171565468436, -0.27977839164689783, -0.1263639499143144, -0.11053664299011555, 0.06922351520093482, -0.03842334550827745, -0.1494843422751992, 0.35714871917878266, 0.15106591007645256, 0.171660748526346, -0.020189428265017552, 0.27603752516965935, 0.11918450039608972, 0.0558628265482738, 0.08798429778392386, 0.3109240823195896, 0.15102593685446333, 0.05977884178603257, -0.2278065164320414, 0.06120310724456457, -0.005083168494056208] |
707.3281 | The Distribution of ALFALFA Galaxies | The ALFALFA blind HI survey will enable a census of the distribution of
gas-rich galaxies in the local Universe. Sensitive to an HI mass of 10**7 solar
masses at the distance of the Virgo cluster, ALFALFA will probe the smallest
objects locally and provide a new consideration of near-field cosmology.
Additionally, with a larger, cosmologically significant sample volume and wider
bandwidth than previous blind surveys, a much larger number of detections in
each mass bin is possible, with adequate angular resolution to eliminate the
need for extensive follow-up observations. This increased sensitivity will
greatly enhance the utility of cosmological probles in HI. ALFALFA will
eventually measure the correlation function of HI selected galaxies in a large
local volume. The larger sample and volume size of the ALFALFA dataset will
also robustly measure the HI mass function (HIMF). Here, we present the
preliminary results on the distribution of local gas-rich galaxies from a first
ALFALFA catalog covering 540 deg**2.
| astro-ph | the alfalfa blind hi survey will enable a census of the distribution of gasrich galaxies in the local universe sensitive to an hi mass of 107 solar masses at the distance of the virgo cluster alfalfa will probe the smallest objects locally and provide a new consideration of nearfield cosmology additionally with a larger cosmologically significant sample volume and wider bandwidth than previous blind surveys a much larger number of detections in each mass bin is possible with adequate angular resolution to eliminate the need for extensive followup observations this increased sensitivity will greatly enhance the utility of cosmological probles in hi alfalfa will eventually measure the correlation function of hi selected galaxies in a large local volume the larger sample and volume size of the alfalfa dataset will also robustly measure the hi mass function himf here we present the preliminary results on the distribution of local gasrich galaxies from a first alfalfa catalog covering 540 deg2 | [['the', 'alfalfa', 'blind', 'hi', 'survey', 'will', 'enable', 'a', 'census', 'of', 'the', 'distribution', 'of', 'gasrich', 'galaxies', 'in', 'the', 'local', 'universe', 'sensitive', 'to', 'an', 'hi', 'mass', 'of', '107', 'solar', 'masses', 'at', 'the', 'distance', 'of', 'the', 'virgo', 'cluster', 'alfalfa', 'will', 'probe', 'the', 'smallest', 'objects', 'locally', 'and', 'provide', 'a', 'new', 'consideration', 'of', 'nearfield', 'cosmology', 'additionally', 'with', 'a', 'larger', 'cosmologically', 'significant', 'sample', 'volume', 'and', 'wider', 'bandwidth', 'than', 'previous', 'blind', 'surveys', 'a', 'much', 'larger', 'number', 'of', 'detections', 'in', 'each', 'mass', 'bin', 'is', 'possible', 'with', 'adequate', 'angular', 'resolution', 'to', 'eliminate', 'the', 'need', 'for', 'extensive', 'followup', 'observations', 'this', 'increased', 'sensitivity', 'will', 'greatly', 'enhance', 'the', 'utility', 'of', 'cosmological', 'probles', 'in', 'hi', 'alfalfa', 'will', 'eventually', 'measure', 'the', 'correlation', 'function', 'of', 'hi', 'selected', 'galaxies', 'in', 'a', 'large', 'local', 'volume', 'the', 'larger', 'sample', 'and', 'volume', 'size', 'of', 'the', 'alfalfa', 'dataset', 'will', 'also', 'robustly', 'measure', 'the', 'hi', 'mass', 'function', 'himf', 'here', 'we', 'present', 'the', 'preliminary', 'results', 'on', 'the', 'distribution', 'of', 'local', 'gasrich', 'galaxies', 'from', 'a', 'first', 'alfalfa', 'catalog', 'covering', '540', 'deg2']] | [-0.0668441709991141, 0.07947185089906965, -0.04248012363863219, 0.09592363657726413, -0.12498865905662726, 0.014092284106429974, 0.07536914662582575, 0.38916945009296583, -0.12646700409211362, -0.35170009318860784, 0.06765556761366166, -0.3130023159325096, -0.006893767822521982, 0.19317671249674004, -0.023427822926692713, 0.02130309813641083, 0.07466932362135334, -0.1059712621531298, -0.07202586882553437, -0.3350314514023388, 0.2705956006416707, 0.14740351263350646, 0.1952569746400473, -0.019030761243597528, 0.0688974140656839, -0.11038389589317191, -0.17780760934303522, 0.010676697104172721, -0.2022626853242493, 0.05414427361735825, 0.2581563808578571, 0.19947554078991198, 0.28781254184402666, -0.3106890013436809, -0.14163740134092084, 0.14085994603314028, 0.2239299447388406, 0.08036555813115304, -0.08766209162107319, -0.34919214185333225, 0.07815994727454938, -0.19919807978187967, -0.16911813991357852, 0.035273311813925484, 0.04684959057789699, 0.061352094051066286, -0.21116525347042045, 0.15583356286107658, -0.04173599466515385, 0.07054025636523202, -0.06903674830623256, -0.10879972279309087, -0.030636852190408643, 0.07501925747978032, -0.049996390999561754, 0.10062999581654147, 0.2373942803312686, -0.1652706341838737, 0.05201344318416527, 0.38557164603547683, -0.07193955583217966, -0.043747224316766906, 0.183563453601347, -0.2578820249326764, -0.17786428967941623, 0.15955671628530785, 0.21568068848614386, 0.06538579401124127, -0.1691151720525068, 0.013065741618777845, -0.08180828110142878, 0.259745598147819, 0.003953060431844869, 0.10291446881238253, 0.3046923491000465, 0.1250178885251687, 0.185251175900506, 0.09571003834724391, -0.251181343639311, 0.020179762338528372, -0.2655363114532914, -0.13058749686594412, -0.19158787310425976, 0.10103198198103316, -0.15270855418337098, -0.09111670402893025, 0.3532645896278844, 0.15205057688757398, 0.21390505178214592, 0.1260304802177462, 0.35405528381656687, 0.016947405055390708, 0.16778119914619263, 0.0357964509908276, 0.2855805627954234, 0.12889117032517886, 0.09825347543391548, -0.19334884447039694, 0.00019102901884704638, -0.030956597570151945] |
707.3282 | Theoretical determination of lifetimes of metastable states in Sc III
and Y III | Lifetimes of the first two metastable states in Sc^{2+} and Y^{2+} are
determined using the relativistic coupled-cluster theory. There is a
considerable interest in studying the electron correlation effects in these
ions as though their electronic configurations are similar to the neutral
alkali atoms, their structures are very different from the latter. We have made
a comparative study of the correlation trends between the above doubly ionized
systems with their corresponding neutral and singly ionized iso-electronic
systems. The lifetimes of the excited states of these ions are very important
in the field of astrophysics, especially for the study of post-main sequence
evolution of the cool giant stars.
| physics.atom-ph physics.optics | lifetimes of the first two metastable states in sc2 and y2 are determined using the relativistic coupledcluster theory there is a considerable interest in studying the electron correlation effects in these ions as though their electronic configurations are similar to the neutral alkali atoms their structures are very different from the latter we have made a comparative study of the correlation trends between the above doubly ionized systems with their corresponding neutral and singly ionized isoelectronic systems the lifetimes of the excited states of these ions are very important in the field of astrophysics especially for the study of postmain sequence evolution of the cool giant stars | [['lifetimes', 'of', 'the', 'first', 'two', 'metastable', 'states', 'in', 'sc2', 'and', 'y2', 'are', 'determined', 'using', 'the', 'relativistic', 'coupledcluster', 'theory', 'there', 'is', 'a', 'considerable', 'interest', 'in', 'studying', 'the', 'electron', 'correlation', 'effects', 'in', 'these', 'ions', 'as', 'though', 'their', 'electronic', 'configurations', 'are', 'similar', 'to', 'the', 'neutral', 'alkali', 'atoms', 'their', 'structures', 'are', 'very', 'different', 'from', 'the', 'latter', 'we', 'have', 'made', 'a', 'comparative', 'study', 'of', 'the', 'correlation', 'trends', 'between', 'the', 'above', 'doubly', 'ionized', 'systems', 'with', 'their', 'corresponding', 'neutral', 'and', 'singly', 'ionized', 'isoelectronic', 'systems', 'the', 'lifetimes', 'of', 'the', 'excited', 'states', 'of', 'these', 'ions', 'are', 'very', 'important', 'in', 'the', 'field', 'of', 'astrophysics', 'especially', 'for', 'the', 'study', 'of', 'postmain', 'sequence', 'evolution', 'of', 'the', 'cool', 'giant', 'stars']] | [-0.10843063598046097, 0.2270385424299688, -0.006430915615599707, 0.10690616642257686, 0.07139948360996198, -0.09868474590165593, 0.025463706556986147, 0.40995215664609014, -0.2095231482602447, -0.3025980217504167, 0.024936202778611506, -0.3407174124443364, -0.03661256481971696, 0.1450474299098774, 0.07031210958435435, 0.004321223521979404, 0.05965631493915603, -0.01686670226871828, -0.09692814589312701, -0.207306920824938, 0.3389814142703523, 0.05062750890572494, 0.18996902490818054, 0.03948029596358538, -0.011200135630320445, -0.08472392548345656, -0.00036667658137940916, -0.001985048592334317, -0.09010494987819796, 0.157694758132544, 0.256097121449257, 0.059808787978994096, 0.25333883303487414, -0.442517842296685, -0.1587827631542198, 0.045166890737470065, 0.17477216137242374, 0.16261762871067517, -0.11790175549685955, -0.29032755607987154, 0.02784469179378248, -0.15193706748584965, -0.12481314373049215, -0.058981754486318504, 0.05613313608467753, 0.08017817135708773, -0.1843302512941795, 0.07992185130563051, 0.023419305956356714, 0.09149151062810462, -0.10856173661859514, -0.17740524167664976, -0.07468040750544762, 0.1432563831733766, 0.06833178152016878, -0.02788695254772205, 0.12642008540107408, -0.13594546572470637, -0.08121594889241784, 0.41834943234990135, -0.07889654990459714, -0.09375108225204738, 0.24338083984939574, -0.20968872414048867, -0.16309787237703383, 0.16299416277575018, 0.150680357541902, 0.1761129058235995, -0.1348870215963607, 0.05145878110529211, -0.0361845948794317, 0.13878731594081514, 0.05789999537622539, 0.12011988070101486, 0.2807502056184773, 0.12605640703864465, -0.04661778302941576, 0.10752372609051032, -0.10187666385356232, -0.11916273102930217, -0.20716617715373095, -0.1595082996199865, -0.12449139871886958, 0.03518739803998827, -0.018802592930956263, -0.1880884378643654, 0.3834391070380763, 0.09263291625114524, 0.18563993601563655, -0.07663669958971789, 0.22936719529783337, 0.09767586924462084, 0.0325039836608535, 0.038025379420266806, 0.30109963663549066, 0.22311413270708558, 0.0798426835480033, -0.29419017838375106, 0.0801354436090686, 0.0028049435779870114] |
707.3283 | Particle entrapment as a feedback effect | We consider a suspension of polarizable particles under the action of
traveling wave dielectrophoresis (DEP) and focus on particle induced effects.
In a situation where the particles are driven by the DEP force, but no external
forces are exerted on the fluid, the joint motion of the particles can induce a
steady fluid flow, which leads to particle entrapment. This feedback effect is
proven to be non-negligible even for small volume concentration of particles.
| physics.flu-dyn | we consider a suspension of polarizable particles under the action of traveling wave dielectrophoresis dep and focus on particle induced effects in a situation where the particles are driven by the dep force but no external forces are exerted on the fluid the joint motion of the particles can induce a steady fluid flow which leads to particle entrapment this feedback effect is proven to be nonnegligible even for small volume concentration of particles | [['we', 'consider', 'a', 'suspension', 'of', 'polarizable', 'particles', 'under', 'the', 'action', 'of', 'traveling', 'wave', 'dielectrophoresis', 'dep', 'and', 'focus', 'on', 'particle', 'induced', 'effects', 'in', 'a', 'situation', 'where', 'the', 'particles', 'are', 'driven', 'by', 'the', 'dep', 'force', 'but', 'no', 'external', 'forces', 'are', 'exerted', 'on', 'the', 'fluid', 'the', 'joint', 'motion', 'of', 'the', 'particles', 'can', 'induce', 'a', 'steady', 'fluid', 'flow', 'which', 'leads', 'to', 'particle', 'entrapment', 'this', 'feedback', 'effect', 'is', 'proven', 'to', 'be', 'nonnegligible', 'even', 'for', 'small', 'volume', 'concentration', 'of', 'particles']] | [-0.18437651445069728, 0.3029654763286581, -0.09574058639338694, 0.008012263632908061, -0.02735163488525998, -0.11498732646499332, -0.013048613203274136, 0.3295479247195495, -0.2797264517662493, -0.29418715707504667, 0.03906113644778678, -0.26879851469719734, -0.11153005808591843, 0.160677132149529, -0.05008483240758446, -0.011315812532966202, 0.046020586547013874, 0.03603823156712728, 0.05514990554405125, -0.1597918672612994, 0.2829472790535137, 0.06318136107969426, 0.24470475872324124, 0.09323665795051744, 0.1621905336458538, 0.009518324976827874, 0.015368070591845223, 0.12568119990268117, -0.1303819159904772, 0.038272721441210925, 0.11576882788181506, -0.04722031966053151, 0.23977627001098684, -0.5227548623256184, -0.23298753444357095, 0.1342399718768492, 0.10962004139327218, 0.1665171110999418, -0.13117186362993577, -0.28045875138628323, 0.008031543020184178, -0.16271964415303758, -0.11764896023590621, -0.008224017990476175, 0.06207735009642469, 0.07248849145442463, -0.28689085212662013, 0.12535960611106978, 0.10627707844675593, 0.027970438093148375, -0.09523054621043943, -0.028164167234019655, -0.005635733036576091, 0.10202271610221549, 0.09509873247824961, 0.01953456929658313, 0.3199896566393609, -0.1962710248677664, -0.02434255267065522, 0.4444335723245466, -0.07460179373407988, -0.30311216167300137, 0.2329753715343572, -0.12790958748224215, -0.027365367897358293, 0.17868378684668001, 0.2308164864048563, 0.12371742537849255, -0.16321719765688317, 0.061386960419366844, -0.011273917527924405, 0.14471621476617214, 0.10451919265796204, -0.05107297658498676, 0.24246220512164607, 0.16313291371271416, 0.09222698379056277, 0.1755714880631343, -0.10639843844959664, -0.11271547488364819, -0.25721693266736895, -0.15432935600747932, -0.1475475286007733, 0.055940919307554515, -0.04601119008883551, -0.17671604502342037, 0.28883800642388696, 0.09427987287651647, 0.15795582727327742, -0.00017206821231976956, 0.28654051358131943, 0.09983404405175934, 0.027326419883457995, 0.054730537860352244, 0.31790830723538593, 0.11360702784794911, 0.0646562633809407, -0.26603247822463716, 0.06790861895156873, 0.06248781969770789] |
707.3284 | Geometric characterization of separability and entanglement in pure
Gaussian states by single-mode unitary operations | We present a geometric approach to the characterization of separability and
entanglement in pure Gaussian states of an arbitrary number of modes. The
analysis is performed adapting to continuous variables a formalism based on
single subsystem unitary transformations that has been recently introduced to
characterize separability and entanglement in pure states of qubits and qutrits
[arXiv:0706.1561]. In analogy with the finite-dimensional case, we demonstrate
that the $1 \times M$ bipartite entanglement of a multimode pure Gaussian state
can be quantified by the minimum squared Euclidean distance between the state
itself and the set of states obtained by transforming it via suitable local
symplectic (unitary) operations. This minimum distance, corresponding to a,
uniquely determined, extremal local operation, defines a novel entanglement
monotone equivalent to the entropy of entanglement, and amenable to direct
experimental measurement with linear optical schemes.
| quant-ph | we present a geometric approach to the characterization of separability and entanglement in pure gaussian states of an arbitrary number of modes the analysis is performed adapting to continuous variables a formalism based on single subsystem unitary transformations that has been recently introduced to characterize separability and entanglement in pure states of qubits and qutrits arxiv07061561 in analogy with the finitedimensional case we demonstrate that the 1 times m bipartite entanglement of a multimode pure gaussian state can be quantified by the minimum squared euclidean distance between the state itself and the set of states obtained by transforming it via suitable local symplectic unitary operations this minimum distance corresponding to a uniquely determined extremal local operation defines a novel entanglement monotone equivalent to the entropy of entanglement and amenable to direct experimental measurement with linear optical schemes | [['we', 'present', 'a', 'geometric', 'approach', 'to', 'the', 'characterization', 'of', 'separability', 'and', 'entanglement', 'in', 'pure', 'gaussian', 'states', 'of', 'an', 'arbitrary', 'number', 'of', 'modes', 'the', 'analysis', 'is', 'performed', 'adapting', 'to', 'continuous', 'variables', 'a', 'formalism', 'based', 'on', 'single', 'subsystem', 'unitary', 'transformations', 'that', 'has', 'been', 'recently', 'introduced', 'to', 'characterize', 'separability', 'and', 'entanglement', 'in', 'pure', 'states', 'of', 'qubits', 'and', 'qutrits', 'arxiv07061561', 'in', 'analogy', 'with', 'the', 'finitedimensional', 'case', 'we', 'demonstrate', 'that', 'the', '1', 'times', 'm', 'bipartite', 'entanglement', 'of', 'a', 'multimode', 'pure', 'gaussian', 'state', 'can', 'be', 'quantified', 'by', 'the', 'minimum', 'squared', 'euclidean', 'distance', 'between', 'the', 'state', 'itself', 'and', 'the', 'set', 'of', 'states', 'obtained', 'by', 'transforming', 'it', 'via', 'suitable', 'local', 'symplectic', 'unitary', 'operations', 'this', 'minimum', 'distance', 'corresponding', 'to', 'a', 'uniquely', 'determined', 'extremal', 'local', 'operation', 'defines', 'a', 'novel', 'entanglement', 'monotone', 'equivalent', 'to', 'the', 'entropy', 'of', 'entanglement', 'and', 'amenable', 'to', 'direct', 'experimental', 'measurement', 'with', 'linear', 'optical', 'schemes']] | [-0.1263863325199482, 0.1785210766145824, -0.09667488599456299, 0.019212668265133875, 0.01269079590736724, -0.1818336679990513, 0.06784128421157434, 0.34858885230428044, -0.26921176576219935, -0.24817656758857673, 0.07506572052935713, -0.23138677843791597, -0.11247948284247233, 0.15309069257551422, -0.06123992427156361, 0.1505544066620881, 0.06332758609000046, 0.06056400662055239, -0.13031835206750067, -0.233652662129744, 0.33419835674131343, 0.02973443009849528, 0.30122701616218206, 0.007988539918990093, 0.13489953575737992, 0.06991246758672573, -0.015009345000554971, 0.036586434751584684, -0.12428687919354535, 0.124220433025638, 0.2488978784839513, 0.16038435704574702, 0.2183378431261243, -0.39969857877996917, -0.19159298467532018, 0.16257136347720755, 0.07257994207868572, 0.11028204581474282, 0.024535569498445566, -0.3325551725968527, 0.026282363471931174, -0.1644494248663678, -0.10799967023365967, -0.11551324147320188, 0.04638882288846242, -0.06783022782902288, -0.2817136230604613, 0.08196178111864034, 0.07491282842067234, 0.04722068413599011, -0.008497148406390539, -0.031718826082343346, -0.04262979531160775, 0.09976451911086984, -0.07428758455995087, 0.023526443536598784, 0.11980009802466478, -0.05656479056993061, -0.15664759669315947, 0.3053164440618061, -0.06868735616615809, -0.22544054820280188, 0.1844479033478659, -0.10446489059626508, -0.08387446340330985, 0.0695547178021276, 0.11475752527579008, 0.12811342292287223, -0.1523029257009244, 0.08797038234693258, -0.056621812643510676, 0.16728469908925678, 0.07226643280249417, 0.12340731914360624, 0.14949102204649106, 0.07025218918844235, 0.10885063393438674, 0.23574168926964323, -0.02940595009781913, -0.12559496262795566, -0.3121411112096051, -0.18847600155429653, -0.2591985942032325, 0.10456116089121412, -0.08115827051551605, -0.12675357768517537, 0.41849475681288717, 0.05513843995782629, 0.1737890821087229, 0.04904486167566467, 0.2568650006210459, 0.13849772419020798, 0.052648040734793004, 0.0788759824799319, 0.2347192457442254, 0.2205968335534528, -0.010776670266161947, -0.25256175744032267, 0.004032554128892063, 0.08445847626118098] |
707.3285 | On the Non-Manifest Left-Right Model Contribution to the Lifetime
Difference in $D^0 - \bar{D}^0$ Mixing | New physics contribution to the lifetime difference in $D^0 - \bar{D}^0$
mixing is re-examined within the non-manifest Left-Right Symmetric Model.
Diagrams with one of $\Delta C = 1$ transitions, mediated by a propagator with
$W_L - W_R$ mixing, are revisited. While these diagrams are believed to give
the dominant contribution, compatible with the experimental data, it is shown
that due to GIM cancelation, such diagrams are negligible in sum. Thus,
Left-Right Symmetric Model contribution to the lifetime difference in $D^0 -
\bar{D}^0$ mixing is about two orders of magnitude less than actual
experimental value for $\Delta \Gamma_D$.
| hep-ph | new physics contribution to the lifetime difference in d0 bard0 mixing is reexamined within the nonmanifest leftright symmetric model diagrams with one of delta c 1 transitions mediated by a propagator with w_l w_r mixing are revisited while these diagrams are believed to give the dominant contribution compatible with the experimental data it is shown that due to gim cancelation such diagrams are negligible in sum thus leftright symmetric model contribution to the lifetime difference in d0 bard0 mixing is about two orders of magnitude less than actual experimental value for delta gamma_d | [['new', 'physics', 'contribution', 'to', 'the', 'lifetime', 'difference', 'in', 'd0', 'bard0', 'mixing', 'is', 'reexamined', 'within', 'the', 'nonmanifest', 'leftright', 'symmetric', 'model', 'diagrams', 'with', 'one', 'of', 'delta', 'c', '1', 'transitions', 'mediated', 'by', 'a', 'propagator', 'with', 'w_l', 'w_r', 'mixing', 'are', 'revisited', 'while', 'these', 'diagrams', 'are', 'believed', 'to', 'give', 'the', 'dominant', 'contribution', 'compatible', 'with', 'the', 'experimental', 'data', 'it', 'is', 'shown', 'that', 'due', 'to', 'gim', 'cancelation', 'such', 'diagrams', 'are', 'negligible', 'in', 'sum', 'thus', 'leftright', 'symmetric', 'model', 'contribution', 'to', 'the', 'lifetime', 'difference', 'in', 'd0', 'bard0', 'mixing', 'is', 'about', 'two', 'orders', 'of', 'magnitude', 'less', 'than', 'actual', 'experimental', 'value', 'for', 'delta', 'gamma_d']] | [-0.11576538235424788, 0.27178499298871206, 0.008484902786671794, 0.13795927463735264, -0.05198526492602722, -0.16752008144913982, 0.042499957285741324, 0.3458086367976922, -0.26864965952011527, -0.28411569802831577, 0.02465191106086657, -0.3341155292926937, -0.04412157368916337, 0.10879811964508507, 0.03497403924433534, -0.01591532278846028, 0.024936472135846332, 0.0021495817314272606, -0.07367107154230677, -0.1716569671857982, 0.26787308823587674, -0.033475801959553714, 0.2313731176858788, 0.09677310998962131, -0.03635580026950207, -0.04614128624539702, -0.06984727308454533, -0.07068585952924143, -0.11795186135276053, 0.06756495370940176, 0.210430279979983, 0.04488414854452174, 0.08943000540978485, -0.33247983841205475, -0.1121426804782322, 0.14577784814361122, 0.17038283195667048, 0.08106682873431152, -0.030407387042237867, -0.2782175018031511, 0.11028777305487424, -0.19965118891809897, -0.0938899879624206, -0.03219106511503298, 0.08088736492459492, -0.14529167919892877, -0.33688239998594727, 0.1261012425736314, -0.009134914906274888, 0.01689859365503634, 0.05472605448887153, -0.23526215159724798, -0.0513293825700799, 0.04999372402646689, 0.10495956101885406, 0.08700984951248893, 0.0731771177289443, -0.1271265356511038, -0.14999015507118035, 0.39385671104474734, -0.08494410565531667, -0.2039725995792817, 0.13861864295497697, -0.17996338110477214, -0.07717588483305868, 0.18715812370020857, 0.0865111510139159, 0.05304497047277388, -0.17299732722101674, 0.09897321031519002, 0.010021691881520774, 0.16213331781878507, 0.05724911134619947, 0.05966569563894663, 0.17414365002825374, 0.17778867667400708, 0.027754694994498966, 0.06482407140735817, -0.030442027332541602, -0.16995052734179603, -0.3903216704806333, -0.07748452235533985, -0.08563473598558395, 0.06378519544077496, -0.052802661178453315, -0.09395587200052305, 0.35040874478797757, 0.11043792025196136, 0.21294480970571247, 0.014278546826893924, 0.2948364131052488, 0.11181155145600168, 0.11904572608495151, 0.02397977471530315, 0.307886719756249, 0.21588157369975522, 0.05700389081762443, -0.27476675473454015, 0.0946577385303274, 0.06154092755268819] |
707.3286 | Galilei invariant theories. II. Wave equations for massive fields | Galilei invariant equations for massive fields with various spins are found
and classified. They have been obtained directly, i.e., by using requirement of
Galilei invariance and the facts on representations of the Galilei group
deduced in our previous paper de Montigny M, Niederle J and Nikitin A G, J.
Phys. A {\bf 39}, 1-21, 2006 . It is shown that the collection of
non-equivalent Galilei-invariant wave equations for vector and scalar fields is
very broad and describes many physically consistent systems.
| math-ph math.MP quant-ph | galilei invariant equations for massive fields with various spins are found and classified they have been obtained directly ie by using requirement of galilei invariance and the facts on representations of the galilei group deduced in our previous paper de montigny m niederle j and nikitin a g j phys a bf 39 121 2006 it is shown that the collection of nonequivalent galileiinvariant wave equations for vector and scalar fields is very broad and describes many physically consistent systems | [['galilei', 'invariant', 'equations', 'for', 'massive', 'fields', 'with', 'various', 'spins', 'are', 'found', 'and', 'classified', 'they', 'have', 'been', 'obtained', 'directly', 'ie', 'by', 'using', 'requirement', 'of', 'galilei', 'invariance', 'and', 'the', 'facts', 'on', 'representations', 'of', 'the', 'galilei', 'group', 'deduced', 'in', 'our', 'previous', 'paper', 'de', 'montigny', 'm', 'niederle', 'j', 'and', 'nikitin', 'a', 'g', 'j', 'phys', 'a', 'bf', '39', '121', '2006', 'it', 'is', 'shown', 'that', 'the', 'collection', 'of', 'nonequivalent', 'galileiinvariant', 'wave', 'equations', 'for', 'vector', 'and', 'scalar', 'fields', 'is', 'very', 'broad', 'and', 'describes', 'many', 'physically', 'consistent', 'systems']] | [-0.16700852263378552, 0.14705315423317444, -0.0508694006727101, 0.0021867825058647073, -0.08585097570306598, -0.12487735204064311, -0.07974404749573949, 0.33406865944748576, -0.16495985525379625, -0.34900887449009294, 0.06723743388339734, -0.26587242477883893, -0.12722235803420728, 0.20187576537510046, -0.05994398903716595, 0.038640585142928056, 0.01760315296287911, 0.05041944925697186, -0.06026122121301551, -0.2685052692794647, 0.295808839772713, 0.018197032396132365, 0.2790897865876711, -0.06989752119466758, 0.16016082050135502, 0.024705744008175455, -0.07411450339415564, 0.023896527166167896, -0.11312450447393274, 0.08485534834938172, 0.2547009217594631, 0.07704471727200331, 0.18318397593863595, -0.34622293333403575, -0.21072779985096973, 0.054921027117719255, 0.10405355842055705, 0.08962888927915348, -0.012108600479013357, -0.3862822195634437, 0.07706991125805637, -0.17971513672278094, -0.13249639393642354, -0.10572523858326559, 0.14814949837417749, -0.0017796534259851354, -0.2533302611659448, 0.08344024577691482, 0.07510657132400247, 0.09906215891719629, -0.06592263736260626, -0.1433099166203577, -0.06656983929823558, 0.029281774583535317, 0.044256519788923934, 0.0870687338651922, 0.07671853682348648, -0.08716540134702928, -0.11452978518821347, 0.4311016638739369, -0.04329041322358908, -0.19870180412768745, 0.25688484791093147, -0.14355895617075312, -0.1756315860980883, 0.11655498202890158, 0.09109779119264716, 0.12890436217332116, -0.18919082932795087, 0.18060292168266665, -0.11059249745281144, 0.07359188945981888, 0.08804591418727516, 0.014314030291130528, 0.17571947117073414, 0.015411163390709613, -0.011473575234562397, 0.018977294496905345, -6.821531599435287e-05, -0.08101551777396637, -0.3008613848151305, -0.17009986149600875, -0.1776775662602188, 0.08890443117389879, -0.01926734468072074, -0.07260104401734097, 0.34739139834896493, 0.09162813788041091, 0.1701671306906904, 0.024820915372588504, 0.10462976469156834, 0.1152422329939257, 0.07750132819637656, 0.15782161127441588, 0.23618370801425323, 0.2363811942587535, 0.11033832229888783, -0.13988153880927712, -0.09932457437165655, 0.0813976602198986] |
707.3287 | On magnetic instabilities and dynamo action in stellar radiation zones | We examine the MHD instabilities arising in the radiation zone of a
differentially rotating star, in which a poloidal field of fossil origin is
sheared into a toroidal field. We focus on the non-axisymmetric instability
that affects the toroidal magnetic field in a rotating star, which was first
studied by Pitts and Tayler in the non-dissipative limit. According to Spruit,
it could also drive a dynamo. The Pitts & Tayler instability is manifestly
present in our simulations, with its conspicuous m=1 dependence in azimuth. But
its analytic treatment used so far is too simplified to be applied to the real
stellar situation. Although the instability generated field reaches an energy
comparable to that of the mean poloidal field, that field seems unaffected by
the instability: it undergoes Ohmic decline, and is neither eroded nor
regenerated by the instability. The toroidal field is produced by shearing the
poloidal field and it draws its energy from the differential rotation. The
small scale motions behave as Alfven waves; they cause negligible
eddy-diffusivity and contribute little to the net transport of angular
momentum. In our simulations we observe no sign of dynamo action, of either
mean field or fluctuation type, up to a magnetic Reynolds number of 10^5.
However the Pitts & Tayler instability is sustained as long as the differential
rotation acting on the poloidal field is able to generate a toroidal field of
sufficient strength.
| astro-ph | we examine the mhd instabilities arising in the radiation zone of a differentially rotating star in which a poloidal field of fossil origin is sheared into a toroidal field we focus on the nonaxisymmetric instability that affects the toroidal magnetic field in a rotating star which was first studied by pitts and tayler in the nondissipative limit according to spruit it could also drive a dynamo the pitts tayler instability is manifestly present in our simulations with its conspicuous m1 dependence in azimuth but its analytic treatment used so far is too simplified to be applied to the real stellar situation although the instability generated field reaches an energy comparable to that of the mean poloidal field that field seems unaffected by the instability it undergoes ohmic decline and is neither eroded nor regenerated by the instability the toroidal field is produced by shearing the poloidal field and it draws its energy from the differential rotation the small scale motions behave as alfven waves they cause negligible eddydiffusivity and contribute little to the net transport of angular momentum in our simulations we observe no sign of dynamo action of either mean field or fluctuation type up to a magnetic reynolds number of 105 however the pitts tayler instability is sustained as long as the differential rotation acting on the poloidal field is able to generate a toroidal field of sufficient strength | [['we', 'examine', 'the', 'mhd', 'instabilities', 'arising', 'in', 'the', 'radiation', 'zone', 'of', 'a', 'differentially', 'rotating', 'star', 'in', 'which', 'a', 'poloidal', 'field', 'of', 'fossil', 'origin', 'is', 'sheared', 'into', 'a', 'toroidal', 'field', 'we', 'focus', 'on', 'the', 'nonaxisymmetric', 'instability', 'that', 'affects', 'the', 'toroidal', 'magnetic', 'field', 'in', 'a', 'rotating', 'star', 'which', 'was', 'first', 'studied', 'by', 'pitts', 'and', 'tayler', 'in', 'the', 'nondissipative', 'limit', 'according', 'to', 'spruit', 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707.3288 | Nonlinear electrodynamics and the variation of the fine structure
constant | It has been claimed that during the late time history of our universe, the
fine structure constant of electromagnetism, $\alpha$, has been increasing
(Webb et al. 2001; Murphy et al. 2003). The conclusion is achieved after
looking at the separation between lines of ions like CIV, MgII, SiII, FeII,
among others in the absorption spectra of very distant quasars, and comparing
them with their counterparts obtained in the laboratory.
However, in the meantime, other teams has claimed either a null result or a
decreasing $\alpha$ with respect to the cosmic time (Chand et al. 2004;
Levshakov et al. 2004). Also, the current precision of laboratory tests does
not allow one to either comfort or reject any of these astronomical
observations. Here we suggest that as photons are the sidereal messengers, a
nonlinear electrodynamics (NLED) description of the interaction of photons with
the weak local background magnetic fields of a gas cloud absorber around the
emitting quasar can reconcile the Chand et al. (2004) and Levshakov et al.
(2004) findings with the negative variation found by Murphy et al. (2001a,
2001b, 2001c, 2001d) and Webb et al. (2001), and also to find a bridge with the
positive variation argued more recently by Levshakov et al. (2006a, 2007). We
also show that nonlinear electrodynamics photon propagation in a vacuum
permeated by a background magnetic field presents a full agreement with
constraints from Oklo natural reactor data. Finally, we show that NLED may
render a null result only in a narrow range of the local background magnetic
field which should be the case of both the claims by Chand et al.(2004) and by
Srianand et al. (2004).
| astro-ph | it has been claimed that during the late time history of our universe the fine structure constant of electromagnetism alpha has been increasing webb et al 2001 murphy et al 2003 the conclusion is achieved after looking at the separation between lines of ions like civ mgii siii feii among others in the absorption spectra of very distant quasars and comparing them with their counterparts obtained in the laboratory however in the meantime other teams has claimed either a null result or a decreasing alpha with respect to the cosmic time chand et al 2004 levshakov et al 2004 also the current precision of laboratory tests does not allow one to either comfort or reject any of these astronomical observations here we suggest that as photons are the sidereal messengers a nonlinear electrodynamics nled description of the interaction of photons with the weak local background magnetic fields of a gas cloud absorber around the emitting quasar can reconcile the chand et al 2004 and levshakov et al 2004 findings with the negative variation found by murphy et al 2001a 2001b 2001c 2001d and webb et al 2001 and also to find a bridge with the positive variation argued more recently by levshakov et al 2006a 2007 we also show that nonlinear electrodynamics photon propagation in a vacuum permeated by a background magnetic field presents a full agreement with constraints from oklo natural reactor data finally we show that nled may render a null result only in a narrow range of the local background magnetic field which should be the case of both the claims by chand et al2004 and by srianand et al 2004 | [['it', 'has', 'been', 'claimed', 'that', 'during', 'the', 'late', 'time', 'history', 'of', 'our', 'universe', 'the', 'fine', 'structure', 'constant', 'of', 'electromagnetism', 'alpha', 'has', 'been', 'increasing', 'webb', 'et', 'al', '2001', 'murphy', 'et', 'al', '2003', 'the', 'conclusion', 'is', 'achieved', 'after', 'looking', 'at', 'the', 'separation', 'between', 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707.3289 | A Further Generalized Lagrangian Density and Its Special Cases | By summarizing and extending the Lagrangian densities of the general
relativity and the Kibble's gauge theory of gravitation,a further generalized
Lagrangian density for a gravitational system is obtained and analyzed in
greater detail, which can be used for studying more extensive range of
gravitation. Many special cases can be derived from this generalized Lagrangian
density, their general characters and peculiarities will be briefly described.
| physics.gen-ph | by summarizing and extending the lagrangian densities of the general relativity and the kibbles gauge theory of gravitationa further generalized lagrangian density for a gravitational system is obtained and analyzed in greater detail which can be used for studying more extensive range of gravitation many special cases can be derived from this generalized lagrangian density their general characters and peculiarities will be briefly described | [['by', 'summarizing', 'and', 'extending', 'the', 'lagrangian', 'densities', 'of', 'the', 'general', 'relativity', 'and', 'the', 'kibbles', 'gauge', 'theory', 'of', 'gravitationa', 'further', 'generalized', 'lagrangian', 'density', 'for', 'a', 'gravitational', 'system', 'is', 'obtained', 'and', 'analyzed', 'in', 'greater', 'detail', 'which', 'can', 'be', 'used', 'for', 'studying', 'more', 'extensive', 'range', 'of', 'gravitation', 'many', 'special', 'cases', 'can', 'be', 'derived', 'from', 'this', 'generalized', 'lagrangian', 'density', 'their', 'general', 'characters', 'and', 'peculiarities', 'will', 'be', 'briefly', 'described']] | [-0.10312435027795828, 0.14092439704732637, -0.09576187492717826, 0.13639628647693566, -0.06158329577495655, -0.11485747395024176, -0.056592864134082835, 0.29490458092371385, -0.23480514127258506, -0.3016875986423757, 0.08717503975744226, -0.18707578285183343, -0.17520792548736883, 0.21141747583354276, -0.04909709050127911, 0.009284673258662224, 0.011871122980549459, 0.03218678780277038, -0.13002124348921434, -0.2341393885749673, 0.3120947708523581, 0.09001763287325582, 0.19136038622153656, 0.05293623678060987, 0.0477882399933324, 0.037105179735503736, -0.06498096720685088, 0.12279918093424515, -0.13161295349340116, 0.1410228227309528, 0.26937138726786963, 0.13142325167381574, 0.17844434151987706, -0.4319696906835787, -0.2890651355394059, 0.07692343828874448, 0.1380914800933429, 0.13414036449865394, -0.01308481292988521, -0.3514163098667586, 0.09163656579478392, -0.21567793824665604, -0.19673166323697105, -0.12570891886328658, 0.017793529844355015, 0.043397659738917675, -0.20951473810118698, 0.057825753964217644, 0.009574315998525847, 0.0555035610727611, -0.04242720862015313, -0.13809582758103572, -0.025077121539248362, 0.0705529431856814, 0.07724326708915806, 0.03698674982251038, 0.12704065924746885, -0.1323339518359197, -0.05334249467012428, 0.45809634405350874, -0.06892245528583843, -0.2456956117280892, 0.15639425702910456, -0.11868920415965101, -0.1656123816907879, 0.09172131578874079, 0.15072055472918447, 0.16095063833165027, -0.19788874137318796, 0.1060668529818132, -0.03704013196115811, 0.07158376910679397, 0.1038902129179665, 0.015924839312136764, 0.23792845463114126, 0.09244211890276462, -0.0037304140167266483, 0.09433789637922826, -0.017716594543012363, -0.12707825297755854, -0.35496311019810417, -0.1362367623027355, -0.14716168867039775, 0.03655128378332371, -0.10100798429976705, -0.04861233883079082, 0.40733151687752633, 0.12610325013243018, 0.09360293456397596, 0.05339505076075771, 0.22888275368937425, 0.18821109764994906, 0.018992907703957625, 0.03923946281244594, 0.25929801672371844, 0.1772260930987873, 0.05307544183192982, -0.15358520197563819, -0.0357446689454336, 0.07794961270447524] |
707.329 | Are Mass and Length Quantized? | We suggest that there are time-varying quanta of mass (gomidia) and of length
(somia), thus pointing to a quantization of geometry and gravitation. The
present numerical value of the gomidium and somium, are, 10 to the power minus
65 grams, and 10 to the power minus 91 centimeters. Gomidia may be responsible
for dark matter in the Universe; Heisenberg's principle, confirms the numerical
estimates for gomidia and somia, either for the present Universe, or for
Planck's time.
| physics.gen-ph | we suggest that there are timevarying quanta of mass gomidia and of length somia thus pointing to a quantization of geometry and gravitation the present numerical value of the gomidium and somium are 10 to the power minus 65 grams and 10 to the power minus 91 centimeters gomidia may be responsible for dark matter in the universe heisenbergs principle confirms the numerical estimates for gomidia and somia either for the present universe or for plancks time | [['we', 'suggest', 'that', 'there', 'are', 'timevarying', 'quanta', 'of', 'mass', 'gomidia', 'and', 'of', 'length', 'somia', 'thus', 'pointing', 'to', 'a', 'quantization', 'of', 'geometry', 'and', 'gravitation', 'the', 'present', 'numerical', 'value', 'of', 'the', 'gomidium', 'and', 'somium', 'are', '10', 'to', 'the', 'power', 'minus', '65', 'grams', 'and', '10', 'to', 'the', 'power', 'minus', '91', 'centimeters', 'gomidia', 'may', 'be', 'responsible', 'for', 'dark', 'matter', 'in', 'the', 'universe', 'heisenbergs', 'principle', 'confirms', 'the', 'numerical', 'estimates', 'for', 'gomidia', 'and', 'somia', 'either', 'for', 'the', 'present', 'universe', 'or', 'for', 'plancks', 'time']] | [-0.11547027509149214, 0.14376771094098892, -0.054851633522098195, 0.0616343369554371, -0.07025363339647038, -0.09976516193901636, 0.0539531234894203, 0.301285271660412, -0.20547705896402876, -0.37928965111097246, 0.11255030386143504, -0.2862596787665396, -0.01294322464015488, 0.22447998984716833, -0.05192371050839963, 0.006535439535158954, -0.011427480542445427, 0.0268899331201021, -0.021168142860142947, -0.2344759345080142, 0.2788385184711381, 0.10862409661536755, 0.18433770344732966, 0.07370413906795725, 0.12967183155147996, -0.05346323268437018, -0.0641461840371461, 0.003497465909139751, -0.12248883958100995, 0.08418535503673635, 0.17603915371000767, 0.11496408501231711, 0.2543697211004743, -0.4174685752504084, -0.1874986322443575, 0.1281840047378042, 0.12372702127960447, 0.07891129123761434, -0.04591278560229973, -0.23086281927072838, 0.1077723439475075, -0.14521705388563544, -0.14469184996942952, -0.034700549322448364, 0.04353214506289526, -0.008261753054820511, -0.23921087057623144, 0.1661750321110634, 0.004039495704976255, 0.008150173185316667, -0.10039652857932657, -0.1329712563079514, 0.012256459754011403, 0.06649119324969409, 0.09365288459070742, 0.007294144589862187, 0.13489020583283615, -0.11237227176443661, -0.09924301146593405, 0.4267314638789386, -0.05980046821936761, -0.13636969433051266, 0.11314993921973526, -0.18116457556208518, -0.07325754110854477, 0.14577356332351696, 0.10768192848956136, 0.05465983684264021, -0.11223455166367635, 0.026099296512356512, 0.01793325783314872, 0.20313708706159297, 0.08388845543440891, 0.029835373386485526, 0.2848057639721322, 0.09784105690259946, 0.05250383079154034, 0.057813461192194625, -0.12737429374191042, -0.08052783318131856, -0.3565034360101778, -0.1986213922117875, -0.16149418362199444, 0.10180994782800952, -0.1353246643937955, -0.09931107510952916, 0.3553220956803185, 0.12057097073268043, 0.17989623212344844, 0.09412961898448124, 0.27714694449550487, 0.10843902272937743, 0.05129620115183396, 0.0891060980343043, 0.31409817015471525, 0.1405597668067769, 0.10766713803455438, -0.19571948408672254, -0.008599644973363779, 0.013396420311948208] |
707.3291 | The maximal p-norm multiplicativity conjecture is false | For all 1 < p < 2, we demonstrate the existence of quantum channels with
non-multiplicative maximal p-norms. Equivalently, the minimum output Renyi
entropy of order p of a quantum channel is not additive for all 1 < p < 2. The
violations found are large. As p approaches 1, the minimum output Renyi entropy
of order p for a product channel need not be significantly greater than the
minimum output entropy of its individual factors. Since p=1 corresponds to the
von Neumann entropy, these counterexamples demonstrate that if the additivity
conjecture of quantum information theory is true, it cannot be proved as a
consequence of maximal p-norm multiplicativity.
| quant-ph math-ph math.MP | for all 1 p 2 we demonstrate the existence of quantum channels with nonmultiplicative maximal pnorms equivalently the minimum output renyi entropy of order p of a quantum channel is not additive for all 1 p 2 the violations found are large as p approaches 1 the minimum output renyi entropy of order p for a product channel need not be significantly greater than the minimum output entropy of its individual factors since p1 corresponds to the von neumann entropy these counterexamples demonstrate that if the additivity conjecture of quantum information theory is true it cannot be proved as a consequence of maximal pnorm multiplicativity | [['for', 'all', '1', 'p', '2', 'we', 'demonstrate', 'the', 'existence', 'of', 'quantum', 'channels', 'with', 'nonmultiplicative', 'maximal', 'pnorms', 'equivalently', 'the', 'minimum', 'output', 'renyi', 'entropy', 'of', 'order', 'p', 'of', 'a', 'quantum', 'channel', 'is', 'not', 'additive', 'for', 'all', '1', 'p', '2', 'the', 'violations', 'found', 'are', 'large', 'as', 'p', 'approaches', '1', 'the', 'minimum', 'output', 'renyi', 'entropy', 'of', 'order', 'p', 'for', 'a', 'product', 'channel', 'need', 'not', 'be', 'significantly', 'greater', 'than', 'the', 'minimum', 'output', 'entropy', 'of', 'its', 'individual', 'factors', 'since', 'p1', 'corresponds', 'to', 'the', 'von', 'neumann', 'entropy', 'these', 'counterexamples', 'demonstrate', 'that', 'if', 'the', 'additivity', 'conjecture', 'of', 'quantum', 'information', 'theory', 'is', 'true', 'it', 'can', 'not', 'be', 'proved', 'as', 'a', 'consequence', 'of', 'maximal', 'pnorm', 'multiplicativity']] | [-0.1305645142883976, 0.17052672560467333, -0.074015061028372, 0.10428162009833064, 0.006179649325720263, -0.23004650652303166, 0.028105909541855514, 0.25967279617797656, -0.30686862756199434, -0.2645443701097425, 0.1011974495080001, -0.32257217674665506, -0.09073512707749065, 0.17299656347670364, -0.11312306810275845, 0.13761424038609718, 0.04921737825058682, 0.15328140845873728, -0.08045705052681337, -0.3012692384808412, 0.2940883413352564, -0.007963886826061908, 0.25490599204917913, 0.0998596348305549, 0.04326024767503424, 0.009505455610605906, 0.03651188769957648, 0.03191726991383991, -0.17668666258567717, 0.09532945002165605, 0.27307861684909407, 0.1906957356566739, 0.29421718062762664, -0.3283571292698946, -0.20883667324274285, 0.2153305286928168, 0.09383516047228971, 0.05596209995729743, 0.05830614407160232, -0.18473806396952636, 0.18733488004610716, -0.2122002054392448, -0.07212295030015257, -0.05952887507682701, 0.06290525070694715, -0.02954457557039722, -0.3154170736802285, 0.1152414200071878, 0.14392989788002353, 0.05633872667962316, -0.027368252423706132, -0.1414411723315013, -0.04641306444668686, 0.11042650041548219, 0.01118882633262437, 0.026458404756168712, 0.09611270702356156, -0.09668458445559976, -0.1615184134329265, 0.32660815103928437, -0.021468182646406965, -0.22118335077758738, 0.0978731391995372, -0.19478511494004502, -0.06691556362290252, 0.11227931789526681, 0.07809030891556451, 0.11447320346070348, -0.06313999295937565, 0.10703913049930532, -0.04190399484568328, 0.19216029143909802, 0.10237619482565073, 0.09511389662863089, 0.13458215900398088, 0.00857838375037009, 0.13916946141014122, 0.16849461836599797, -0.05515461804851547, -0.04574282090992333, -0.367995453506427, -0.21370993798844656, -0.248837335265839, 0.1317331712798134, -0.12530437138652042, -0.12214900880946584, 0.29761118429519656, 0.08996043754038664, 0.16314247781674396, 0.10619512414735444, 0.2318629153635142, 0.1325835954850399, 0.04877997793801973, 0.11964018147643041, 0.18329768859834042, 0.19223238376654544, -0.0035137005835630983, -0.21481757841231125, 0.09224702432347497, 0.09192575317069467] |
707.3292 | GMSB at a stable vacuum and MSSM without exotics from heterotic string | We show that it is possible to introduce the confining hidden sector gauge
group SU(5)' with the chiral matter 10 plus 5-bar, which are neutral under the
standard model gauge group, toward a gauge mediated supersymmetry breaking
(GMSB) in a Z_{12-I} orbifold compactification of E_8xE_8 heterotic string.
Three families of MSSM result without exotics. We also find a desirable matter
parity P (or R-parity) assignment. We note that this model contains the
spectrum of the Lee-Weinberg model which has a nice solution of the mu problem.
| hep-ph | we show that it is possible to introduce the confining hidden sector gauge group su5 with the chiral matter 10 plus 5bar which are neutral under the standard model gauge group toward a gauge mediated supersymmetry breaking gmsb in a z_12i orbifold compactification of e_8xe_8 heterotic string three families of mssm result without exotics we also find a desirable matter parity p or rparity assignment we note that this model contains the spectrum of the leeweinberg model which has a nice solution of the mu problem | [['we', 'show', 'that', 'it', 'is', 'possible', 'to', 'introduce', 'the', 'confining', 'hidden', 'sector', 'gauge', 'group', 'su5', 'with', 'the', 'chiral', 'matter', '10', 'plus', '5bar', 'which', 'are', 'neutral', 'under', 'the', 'standard', 'model', 'gauge', 'group', 'toward', 'a', 'gauge', 'mediated', 'supersymmetry', 'breaking', 'gmsb', 'in', 'a', 'z_12i', 'orbifold', 'compactification', 'of', 'e_8xe_8', 'heterotic', 'string', 'three', 'families', 'of', 'mssm', 'result', 'without', 'exotics', 'we', 'also', 'find', 'a', 'desirable', 'matter', 'parity', 'p', 'or', 'rparity', 'assignment', 'we', 'note', 'that', 'this', 'model', 'contains', 'the', 'spectrum', 'of', 'the', 'leeweinberg', 'model', 'which', 'has', 'a', 'nice', 'solution', 'of', 'the', 'mu', 'problem']] | [-0.16962613194413922, 0.20197743202819873, -0.0781971909242737, 0.14529853428385275, -0.12517595626413822, -0.21508587714942062, 0.03852638256648788, 0.3419594198027078, -0.18671422837411655, -0.30415109938065354, 0.03951694520382101, -0.24475848524119048, -0.1136471515548799, 0.0046978337032830015, -0.028980605753467364, 0.012640812324688715, -0.015905683104167966, 0.055417276546359064, -0.04072036334546283, -0.2532110229764572, 0.3180726462975144, -0.045201210085959995, 0.21636470370542477, 0.05207080176743843, 0.09678928421481567, -0.032000296798479905, 0.026626023452948122, -0.0897320685798631, -0.09452439133875647, 0.09337219268165747, 0.16957110661794159, 0.06758158903788118, 0.09754691500874127, -0.3682610947200481, -0.22024282328921424, 0.21024442463017562, 0.1337555781171164, 0.13633596704834525, -0.08459079742760342, -0.3030789798070841, 0.11026134042014532, -0.2443385399220621, -0.13207714872242993, -0.06884969903484864, -0.05455886409891879, -0.18422953278264578, -0.30653006674393135, 0.05951098432346685, 0.0022901129525373966, 0.033442395962500836, -0.010228161702809088, -0.11116574720397372, -0.10520866025129662, -0.042856623010490744, 0.21292976987246862, 0.04785563072107513, 0.1412717062377316, -0.20328522363424245, -0.15609433348564541, 0.45980780308737473, -0.09936940472792177, -0.1984030855819583, 0.14140104116762386, -0.08725486711653717, -0.2456585524658508, 0.11013118898605599, 0.08605162312331445, 0.1149137477226117, -0.10917661375201801, 0.2713941432754783, -0.15357416482532726, 0.16772362305919694, 0.0630067744621021, 0.03812921314007219, 0.2525327684248195, 0.17616794926169163, 0.09744239103268175, 0.09926974456757306, -0.012714695338817203, -0.09100597744656946, -0.4791554958285654, -0.10839841582209749, -0.06028407905250788, 0.09384223335586926, -0.06887842659455012, -0.132283894564299, 0.410571207248551, 0.10311665141626317, 0.1827545558595482, 0.06931919909821933, 0.21036846797694178, 0.025050671464380097, 0.1054852360914297, 0.008212253434912246, 0.20653071582098217, 0.10425771827371243, 0.03093250888358692, -0.228334707717466, -0.138299619459191, 0.14189402579932528] |
707.3293 | Apparatus for real-time acoustic imaging of Rayleigh-Benard convection | We have designed and built an apparatus for real-time acoustic imaging of
convective flow patterns in optically opaque fluids. This apparatus takes
advantage of recent advances in two-dimensional ultrasound transducer array
technology; it employs a modified version of a commercially available
ultrasound camera, similar to those employed in non-destructive testing of
solids. Images of convection patterns are generated by observing the lateral
variation of the temperature dependent speed of sound via refraction of
acoustic plane waves passing vertically through the fluid layer. The apparatus
has been validated by observing convection rolls in both silicone oil and
ferrofluid.
| cond-mat.mtrl-sci cond-mat.soft | we have designed and built an apparatus for realtime acoustic imaging of convective flow patterns in optically opaque fluids this apparatus takes advantage of recent advances in twodimensional ultrasound transducer array technology it employs a modified version of a commercially available ultrasound camera similar to those employed in nondestructive testing of solids images of convection patterns are generated by observing the lateral variation of the temperature dependent speed of sound via refraction of acoustic plane waves passing vertically through the fluid layer the apparatus has been validated by observing convection rolls in both silicone oil and ferrofluid | [['we', 'have', 'designed', 'and', 'built', 'an', 'apparatus', 'for', 'realtime', 'acoustic', 'imaging', 'of', 'convective', 'flow', 'patterns', 'in', 'optically', 'opaque', 'fluids', 'this', 'apparatus', 'takes', 'advantage', 'of', 'recent', 'advances', 'in', 'twodimensional', 'ultrasound', 'transducer', 'array', 'technology', 'it', 'employs', 'a', 'modified', 'version', 'of', 'a', 'commercially', 'available', 'ultrasound', 'camera', 'similar', 'to', 'those', 'employed', 'in', 'nondestructive', 'testing', 'of', 'solids', 'images', 'of', 'convection', 'patterns', 'are', 'generated', 'by', 'observing', 'the', 'lateral', 'variation', 'of', 'the', 'temperature', 'dependent', 'speed', 'of', 'sound', 'via', 'refraction', 'of', 'acoustic', 'plane', 'waves', 'passing', 'vertically', 'through', 'the', 'fluid', 'layer', 'the', 'apparatus', 'has', 'been', 'validated', 'by', 'observing', 'convection', 'rolls', 'in', 'both', 'silicone', 'oil', 'and', 'ferrofluid']] | [-0.1259996121408437, 0.2067828692542929, -0.08589613121470974, -0.06315257772083212, -0.09277915583741035, -0.1220333517442659, -0.028517620909248583, 0.41041333383890155, -0.24815957150278017, -0.29673059933732465, 0.11548690781112492, -0.261850839399147, -0.10550462047463839, 0.263113978098041, -0.044099275157162825, 0.13599680415018625, 0.06601555809167396, -0.07078566713037795, 0.039332053393663205, -0.14984827963923364, 0.21195496594024457, 0.06786304143900723, 0.36476841207939326, -0.011864522976090306, 0.17585569748309315, 0.0044493885163563425, -0.03696059678517973, 0.046854781841417566, -0.11459994824487985, 0.06786073816321507, 0.27128543580771836, 0.06974162194234579, 0.22082645240955093, -0.5539497021854538, -0.30581730968899756, -0.002583750134775626, 0.13407339724548853, 0.11796349363843191, -0.10096762546928618, -0.3113850493598537, 0.0034431556393344376, -0.12485840874388046, -0.10757717214639961, -0.01883076620528225, 0.01027545789568733, -0.0014517197827088465, -0.21748018227685628, 0.05928673969639331, 0.02642849694515012, 0.15968883709175533, -0.07306580938226015, -0.046196486186428166, -0.003828219253301006, 0.10960751073855005, -0.0036348277875750336, -0.007261141539388096, 0.21245669353196456, -0.1464711588677787, -0.02488603423704806, 0.37815277511734013, -0.1078810297701623, -0.16358335417474515, 0.18379689080967115, -0.13426017447269148, 0.04424150757606804, 0.19201294828167895, 0.21573658763747855, 0.11752686525944658, -0.16587871165235632, 0.003823996429120373, -0.04345248161320642, 0.1878028314335022, 0.17544751769392608, -0.07280791414536766, 0.25231252569398005, 0.2525821951093133, -0.017747207532142355, 0.18901000365845322, -0.16804349564073473, -0.00602429759563859, -0.20526915199612988, -0.15848987517379148, -0.1654489126126042, -0.045583954624610845, -0.04825981944942242, -0.18426586297753544, 0.35538445006979186, 0.1492327668694491, 0.07798998755854122, -0.036874128495986314, 0.38648871651168953, 0.009969958430636175, 0.10803677676936861, 0.027625186613655275, 0.2952254177503211, 0.16758089538990067, 0.20267531392404559, -0.20447032429162681, 0.061210154566539395, 0.04044869254083978] |
707.3294 | 12 and 18 micron images of dust surrounding HD 32297 | We present the first subarcsecond-resolution images at multiple mid-IR
wavelengths of the thermally-emitting dust around the A0 star HD 32297. Our
observations with T-ReCS at Gemini South reveal a nearly edge-on resolved disk
at both 11.7 microns and 18.3 microns that extends ~150 AU in radius. The
mid-IR is the third wavelength region in which this disk has been resolved,
following coronagraphic observations by others of the source at optical and
near-IR wavelengths. The global mid-IR colors and detailed consideration of the
radial color-temperature distribution imply that the central part of the disk
out to ~80 AU is relatively deficient in dust.
| astro-ph | we present the first subarcsecondresolution images at multiple midir wavelengths of the thermallyemitting dust around the a0 star hd 32297 our observations with trecs at gemini south reveal a nearly edgeon resolved disk at both 117 microns and 183 microns that extends 150 au in radius the midir is the third wavelength region in which this disk has been resolved following coronagraphic observations by others of the source at optical and nearir wavelengths the global midir colors and detailed consideration of the radial colortemperature distribution imply that the central part of the disk out to 80 au is relatively deficient in dust | [['we', 'present', 'the', 'first', 'subarcsecondresolution', 'images', 'at', 'multiple', 'midir', 'wavelengths', 'of', 'the', 'thermallyemitting', 'dust', 'around', 'the', 'a0', 'star', 'hd', '32297', 'our', 'observations', 'with', 'trecs', 'at', 'gemini', 'south', 'reveal', 'a', 'nearly', 'edgeon', 'resolved', 'disk', 'at', 'both', '117', 'microns', 'and', '183', 'microns', 'that', 'extends', '150', 'au', 'in', 'radius', 'the', 'midir', 'is', 'the', 'third', 'wavelength', 'region', 'in', 'which', 'this', 'disk', 'has', 'been', 'resolved', 'following', 'coronagraphic', 'observations', 'by', 'others', 'of', 'the', 'source', 'at', 'optical', 'and', 'nearir', 'wavelengths', 'the', 'global', 'midir', 'colors', 'and', 'detailed', 'consideration', 'of', 'the', 'radial', 'colortemperature', 'distribution', 'imply', 'that', 'the', 'central', 'part', 'of', 'the', 'disk', 'out', 'to', '80', 'au', 'is', 'relatively', 'deficient', 'in', 'dust']] | [-0.03493231035456262, 0.04100188351802382, -0.10059255572017647, -0.0064200097820538956, -0.04643822001183734, -0.09631480429522402, 0.007619470602138808, 0.4831892427641387, -0.16687812306233407, -0.3083932279864801, 0.11580524451953049, -0.2916630744342304, 0.012699334303547135, 0.1465189202526566, -0.059763261101347866, -0.032108944603333286, 0.060410856616263296, -0.17719768079262518, 0.038094161904654374, -0.2357100674133678, 0.25456814084421187, 0.12280910277702645, 0.10469029333862458, 0.016419655661664756, 0.04133070411397984, -0.08445431111042626, -0.10006095311494873, -0.08658529189871807, -0.17335018792315773, 0.05113460192018572, 0.24342527025032276, 0.047773228000676, 0.2201263600557771, -0.3039282472158198, -0.20304638767094516, -0.01696869145677078, 0.15679869192707188, -0.02821941167577261, 0.00434475147402754, -0.23318422218675122, 0.08887347723722604, -0.11215204383502257, -0.20319811539158372, 0.13069378432142092, 0.07803978718584403, -0.02982674327715501, -0.24150632145613724, 0.08668289597570787, 0.02147906175905875, 0.18103188647222065, -0.16106903663945987, -0.15072084320526496, -0.09472561432003025, 0.0699488107690259, -0.062120786680858214, 0.10549403588497537, 0.16358166562356785, -0.09097571339339529, -0.0033967650504600185, 0.3498343621362366, -0.11293208265823185, 0.05299513964165075, 0.23542270408806337, -0.3051842274372557, -0.14627998780605256, 0.24158738863051815, 0.103504485055786, 0.17385044664728874, -0.14516778786977133, 0.012718217349816662, -0.08316761302857605, 0.27164295478267414, 0.13429606569857866, 0.12185132449410636, 0.39131341113562823, 0.0856937513248447, 0.010935161344926147, 0.13014823451236474, -0.3596664131076906, -0.0412875595113791, -0.23511667271640024, -0.07462401558444196, -0.1510918624402371, 0.06306080174559325, -0.14966838247574724, -0.03783420164265907, 0.3235809956038115, 0.10565111656015848, 0.21981965297120898, 0.055688428168080055, 0.33860466106995646, 0.014176885178540925, 0.17031348752332667, 0.11392054271281642, 0.3816468962468207, 0.106454531909834, 0.17365889520128713, -0.21618607276868002, -0.01266793850991948, -0.05067006383529481] |
707.3295 | A Ring of Warm Dust in the HD 32297 Debris Disk | We report the detection of a ring of warm dust in the edge-on disk
surrounding HD 32297 with the Gemini-N/MICHELLE mid-infrared imager. Our
N'-band image shows elongated structure consistent with the orientation of the
scattered-light disk. The Fnu(11.2 um) = 49.9+/-2.1 mJy flux is significantly
above the 28.2+/-0.6 mJy photosphere. Subtraction of the stellar point spread
function reveals a bilobed structure with peaks 0.5"-0.6" from the star. An
analysis of the stellar component of the SED suggests a spectral type later
than A0, in contrast to commonly cited literature values. We fit
three-dimensional, single-size grain models of an optically thin dust ring to
our image and the SED using a Markov chain Monte Carlo algorithm in a Bayesian
framework. The best-fit effective grain sizes are submicron, suggesting the
same dust population is responsible for the bulk of the scattered light. The
inner boundary of the warm dust is located 0.5"-0.7" (~65 AU) from the star,
which is approximately cospatial with the outer boundary of the scattered-light
asymmetry inward of 0.5". The addition of a separate component of larger,
cooler grains that provide a portion of the 60 um flux improves both the
fidelity of the model fit and consistency with the slopes of the
scattered-light brightness profiles. Previous indirect estimates of the stellar
age (~30 Myr) indicate the dust is composed of debris. The peak vertical
optical depths in our models (~0.3-1 x 1e-2) imply that grain-grain collisions
likely play a significant role in dust dynamics and evolution. Submicron grains
can survive radiation pressure blow-out if they are icy and porous. Similarly,
the inferred warm temperatures (130-200 K) suggest that ice sublimation may
play a role in truncating the inner disk.
| astro-ph | we report the detection of a ring of warm dust in the edgeon disk surrounding hd 32297 with the gemininmichelle midinfrared imager our nband image shows elongated structure consistent with the orientation of the scatteredlight disk the fnu112 um 49921 mjy flux is significantly above the 28206 mjy photosphere subtraction of the stellar point spread function reveals a bilobed structure with peaks 0506 from the star an analysis of the stellar component of the sed suggests a spectral type later than a0 in contrast to commonly cited literature values we fit threedimensional singlesize grain models of an optically thin dust ring to our image and the sed using a markov chain monte carlo algorithm in a bayesian framework the bestfit effective grain sizes are submicron suggesting the same dust population is responsible for the bulk of the scattered light the inner boundary of the warm dust is located 0507 65 au from the star which is approximately cospatial with the outer boundary of the scatteredlight asymmetry inward of 05 the addition of a separate component of larger cooler grains that provide a portion of the 60 um flux improves both the fidelity of the model fit and consistency with the slopes of the scatteredlight brightness profiles previous indirect estimates of the stellar age 30 myr indicate the dust is composed of debris the peak vertical optical depths in our models 031 x 1e2 imply that graingrain collisions likely play a significant role in dust dynamics and evolution submicron grains can survive radiation pressure blowout if they are icy and porous similarly the inferred warm temperatures 130200 k suggest that ice sublimation may play a role in truncating the inner disk | [['we', 'report', 'the', 'detection', 'of', 'a', 'ring', 'of', 'warm', 'dust', 'in', 'the', 'edgeon', 'disk', 'surrounding', 'hd', '32297', 'with', 'the', 'gemininmichelle', 'midinfrared', 'imager', 'our', 'nband', 'image', 'shows', 'elongated', 'structure', 'consistent', 'with', 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707.3296 | Comments on "An experimental test of non-local realism" by S.
Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M.
Aspelmeyer, and A. Zeilinger, Nature 446 (2007), 871-875 | A simple proof of a key inequality required by the paper's analysis is
presented. An introductory section discussing the paper's setup may be helpful
to some readers. An alternative statistical analysis is suggested.
| quant-ph | a simple proof of a key inequality required by the papers analysis is presented an introductory section discussing the papers setup may be helpful to some readers an alternative statistical analysis is suggested | [['a', 'simple', 'proof', 'of', 'a', 'key', 'inequality', 'required', 'by', 'the', 'papers', 'analysis', 'is', 'presented', 'an', 'introductory', 'section', 'discussing', 'the', 'papers', 'setup', 'may', 'be', 'helpful', 'to', 'some', 'readers', 'an', 'alternative', 'statistical', 'analysis', 'is', 'suggested']] | [-0.09588401955129071, 0.01749627206873177, -0.1705589165741747, 0.12243912654759531, -0.1622923273367412, -0.192936198531904, 0.017560276400410767, 0.27915588472828723, -0.19384218063769917, -0.31587800936716975, 0.10594613647977398, -0.2661705483315569, -0.17180320597959287, 0.2658008572391488, -0.1543279110143582, 0.026593812318010765, 0.10058582675727931, -0.013248152579322006, -0.021646151460255638, -0.3064546270126646, 0.2649760488209061, 0.18978650704251998, 0.26809192615363636, 0.10780440586985963, 0.0033518922317660217, -0.0018048233380823424, -0.16026624848106594, 0.004420204144535643, -0.19696241001965423, 0.17029490654892993, 0.3417439139306997, 0.1728795279156078, 0.3456417996097695, -0.3944890635708968, -0.14797175517587952, 0.06513202201687929, 0.15892678764507626, 0.14149658319850764, -0.06885279983169201, -0.31136880730363453, 0.0317674328883489, -0.15823741260012894, -0.1801579185535736, -0.09264911091039804, 0.0027774137473016076, -0.03335633199436195, -0.1969777713670875, -0.001151562583717433, 0.13736610406671057, 0.12513733491527312, 0.025522617884262494, -0.14232457468681264, 0.1322325256963571, 0.052577616068336996, 0.10707767900418151, 0.03568555547319578, 0.1323035305055479, -0.04288982165356477, -0.14840879223563455, 0.36623263878352713, 0.01971344943299438, -0.1723849062215198, 0.13420160393809166, -0.0019719776923232007, -0.177276378045931, 0.05955368046169028, 0.10577397545178731, 0.10784881846330156, -0.2403267053605029, 0.03139939266398097, -0.06269940177938252, 0.21658931277466542, 0.025627857892576492, -0.04291912193664096, 0.19172192065779006, 0.19976578551259908, -0.005202443480040088, 0.10205127586342508, 0.051186699137994736, -0.04867909510027279, -0.44791522520509636, -0.22478622734320886, -0.17633113081595211, 0.08869122121849972, -0.04117553472293146, -0.059929552685582275, 0.3830274161177151, 0.11605271681875104, 0.14071522080198381, -0.0526592687449672, 0.29969851159010874, 0.16306500476926114, 0.0026876356622034855, 0.00011858206496319987, 0.19973832931260183, 0.1787285097578371, 0.13255192666794313, -0.0310949219644747, 0.08852585553276268, 0.08560519093280715] |
707.3297 | Theory of Parity Violated Cooper Pairs in Weakly Noncentrosymmetric
Superconductors | We propose that in noncentrosymmetric superconductors with weakly asymmetric
spin-orbit interaction the field-induced pair correlation between the
spin-orbit split different bands ignored in previous studies yields unique
effects; i.e. the Pauli depairing effect is anisotropic in the momentum space,
and as a result, magnetic fields induce point-node-like anisotropic gap
structure of the quasiparticle energy even for isotropic s-wave states, which
seriously affects thermodynamic quantities at low temperatures. Also, it is
shown that when the magnitude of the spin-orbit interaction is smaller than the
superconducting gap, the specific heat as a function of a magnetic field
exhibit a two-gap-like behavior, even when there is only a single gap. These
features characterize parity violated Cooper pairs in weakly noncentrosymmetric
systems. We suggest the possible detection of these effects in the
superconductor with weakly broken inversion symmetry Y_2C_3.
| cond-mat.supr-con | we propose that in noncentrosymmetric superconductors with weakly asymmetric spinorbit interaction the fieldinduced pair correlation between the spinorbit split different bands ignored in previous studies yields unique effects ie the pauli depairing effect is anisotropic in the momentum space and as a result magnetic fields induce pointnodelike anisotropic gap structure of the quasiparticle energy even for isotropic swave states which seriously affects thermodynamic quantities at low temperatures also it is shown that when the magnitude of the spinorbit interaction is smaller than the superconducting gap the specific heat as a function of a magnetic field exhibit a twogaplike behavior even when there is only a single gap these features characterize parity violated cooper pairs in weakly noncentrosymmetric systems we suggest the possible detection of these effects in the superconductor with weakly broken inversion symmetry y_2c_3 | [['we', 'propose', 'that', 'in', 'noncentrosymmetric', 'superconductors', 'with', 'weakly', 'asymmetric', 'spinorbit', 'interaction', 'the', 'fieldinduced', 'pair', 'correlation', 'between', 'the', 'spinorbit', 'split', 'different', 'bands', 'ignored', 'in', 'previous', 'studies', 'yields', 'unique', 'effects', 'ie', 'the', 'pauli', 'depairing', 'effect', 'is', 'anisotropic', 'in', 'the', 'momentum', 'space', 'and', 'as', 'a', 'result', 'magnetic', 'fields', 'induce', 'pointnodelike', 'anisotropic', 'gap', 'structure', 'of', 'the', 'quasiparticle', 'energy', 'even', 'for', 'isotropic', 'swave', 'states', 'which', 'seriously', 'affects', 'thermodynamic', 'quantities', 'at', 'low', 'temperatures', 'also', 'it', 'is', 'shown', 'that', 'when', 'the', 'magnitude', 'of', 'the', 'spinorbit', 'interaction', 'is', 'smaller', 'than', 'the', 'superconducting', 'gap', 'the', 'specific', 'heat', 'as', 'a', 'function', 'of', 'a', 'magnetic', 'field', 'exhibit', 'a', 'twogaplike', 'behavior', 'even', 'when', 'there', 'is', 'only', 'a', 'single', 'gap', 'these', 'features', 'characterize', 'parity', 'violated', 'cooper', 'pairs', 'in', 'weakly', 'noncentrosymmetric', 'systems', 'we', 'suggest', 'the', 'possible', 'detection', 'of', 'these', 'effects', 'in', 'the', 'superconductor', 'with', 'weakly', 'broken', 'inversion', 'symmetry', 'y_2c_3']] | [-0.23776669816299573, 0.23709305651009754, -0.03291175776875501, 0.10775089440727256, -0.07513446406692378, -0.16454135670319647, 0.04822560926353125, 0.377634407378229, -0.25206596951553584, -0.2955587271607964, -0.04544524993542652, -0.3032590580887084, -0.10344305105290298, 0.1489461276827282, 0.0726112069017639, -0.02499174671352638, -0.0064372019107012375, -0.00265422904088435, -0.1428414631142155, -0.20686918120004966, 0.3740912186598083, -0.0004751959647563167, 0.34609339119082216, 0.10427289853166592, 0.012058362038280899, 0.007249905127345731, 0.12686134533802593, 0.056221378368239754, -0.09867618983330055, 0.016587079826066678, 0.25026994642426953, -0.09904376902666531, 0.1983972991084946, -0.40340737788412806, -0.22248409322858614, 0.07979187563313801, 0.12996356595391617, 0.1539000215199671, -0.06498386642521009, -0.2859992245702367, 0.02692552818872973, -0.15405710747367457, -0.10359419704435911, -0.09349170361936121, 0.011682682545484513, -0.03261572848900424, -0.2617848030824557, 0.14737266751467532, 0.1120931125758916, 0.0672066566233236, -0.06825166608774125, -0.11042758034318126, -0.07269974099122044, 0.031424078007169155, 0.08089484756154225, 0.03362374582951118, 0.10926327885643236, -0.15293194458091675, -0.07181076223295028, 0.3653075690661326, -0.07570492444593631, -0.16072229107253647, 0.1697464132387387, -0.1734326478002831, -0.0845116785328303, 0.14396157842549615, 0.11271146941874036, 0.09890782496982947, -0.11911364617959694, 0.08289936702865652, -0.04076803617942658, 0.16586514022043744, -0.0004976644719901838, 0.12655263770497718, 0.2609684739429924, 0.1598276325144378, 0.07327102865372553, 0.1455257724851538, -0.10589753206612725, -0.04807123605247685, -0.2506069621575394, -0.1319440266982253, -0.23545573583867094, 0.05133354207454862, -0.03521310294927115, -0.17931144819678074, 0.3632937451313369, 0.14650677611074966, 0.20373849908793276, -0.0535387936638164, 0.24404547238526375, 0.1347447486919932, 0.13008772596870935, 0.07287326023241687, 0.30242427865645494, 0.14356568455783636, 0.08227893565755155, -0.3193566247127614, 0.06410936455249339, -0.00659550194929641] |
707.3298 | Comment to the paper "Radiation induced by relativistic electrons
propagating through random layered stacks: Numerical simulation results" by
A.A.Varfolomeev and et al NIM B 256,705 (2007) | We show that the numerical code used in the above mentioned paper does not
take into account the multiple scattering effects of electromagnetic field
properly and is therefore incorrect.
| physics.acc-ph | we show that the numerical code used in the above mentioned paper does not take into account the multiple scattering effects of electromagnetic field properly and is therefore incorrect | [['we', 'show', 'that', 'the', 'numerical', 'code', 'used', 'in', 'the', 'above', 'mentioned', 'paper', 'does', 'not', 'take', 'into', 'account', 'the', 'multiple', 'scattering', 'effects', 'of', 'electromagnetic', 'field', 'properly', 'and', 'is', 'therefore', 'incorrect']] | [-0.09676892008503964, 0.11956028084688146, -0.10385576230955534, 0.1507013985638282, -0.0914829361156143, -0.08086004596332023, 0.00602447707607443, 0.3953333630644042, -0.24631957645560132, -0.2791585999958474, 0.0460283544420361, -0.21091183592115753, -0.15578493276803657, 0.19151171399601574, -0.03952607843254147, 0.02878806354670689, 0.06791654620961897, 0.006916028351105493, -0.021855421003018474, -0.24955864645669174, 0.37103374135391465, 0.05670777632822764, 0.24555089433902297, 0.17107505624278865, 0.07182209871323972, 0.07362071191892028, -0.05803207481472657, 0.09038392160537428, -0.08433795913954563, -0.004329479492173113, 0.23880673899989704, 0.12418811905583174, 0.26845713537828675, -0.5295961434985029, -0.2586289605061556, 0.09412401548490443, 0.22009780893808809, 0.15771561984679308, -0.0216625662809559, -0.2371169550280119, 0.08732951862801766, -0.14644166891430987, -0.0521351813563499, -0.06876993322231133, -0.06276940048174483, 0.00020111185209504488, -0.25878738382317384, -0.006588776114171949, 0.15214752661192726, -0.03996013570576906, -0.11980978748761117, -0.1295147463358168, 0.016479647670198102, 0.1808828397429195, 0.0665199532061173, -0.0066750969352393314, 0.08639562736136903, -0.06376149775139217, -0.03364777365892098, 0.41515644434197196, -0.03921487988454515, -0.21871144921872124, 0.11645300917584321, -0.17564077209681273, -0.11729318198972735, 0.1775936071544179, 0.19803407942426615, 0.05411495277979251, -0.15754215096541005, 0.06963398570700645, -0.019920191053172637, 0.20186254626204228, 0.0028570646436178477, -0.008581740316003561, 0.19964346469476305, 0.04430301583789546, -0.060613670860063924, 0.11039695570823448, -0.08095082049739771, -0.032104234885552835, -0.39556306971694694, -0.1447847674375978, -0.14920169217833157, 0.029080177625693412, -0.006477612186151011, -0.18504887941325532, 0.36279645189642906, 0.30586430969937095, 0.15650781366074906, 0.011830976650375745, 0.33240389053163855, 0.1323089568137095, 0.09696827796769553, 0.09890082305104568, 0.29489833167914686, 0.06956674969466083, 0.05517843307863022, -0.23819383453770443, 0.04879411019320632, 0.004283741020180028] |
707.3299 | Random Shooting of Entangled Particles in Vacuum | The effect of random shooting of particles is considered on the basis of
solution of the Schrodinger equation and in terms of the Wigner function.
Two-particles description shows, in particular, that initial correlation leads
to high velocities of particles. This could be a potential mechanism for
obtaining energy. Evolution of the n-particle probability distribution is
descibed analytically.
| physics.gen-ph | the effect of random shooting of particles is considered on the basis of solution of the schrodinger equation and in terms of the wigner function twoparticles description shows in particular that initial correlation leads to high velocities of particles this could be a potential mechanism for obtaining energy evolution of the nparticle probability distribution is descibed analytically | [['the', 'effect', 'of', 'random', 'shooting', 'of', 'particles', 'is', 'considered', 'on', 'the', 'basis', 'of', 'solution', 'of', 'the', 'schrodinger', 'equation', 'and', 'in', 'terms', 'of', 'the', 'wigner', 'function', 'twoparticles', 'description', 'shows', 'in', 'particular', 'that', 'initial', 'correlation', 'leads', 'to', 'high', 'velocities', 'of', 'particles', 'this', 'could', 'be', 'a', 'potential', 'mechanism', 'for', 'obtaining', 'energy', 'evolution', 'of', 'the', 'nparticle', 'probability', 'distribution', 'is', 'descibed', 'analytically']] | [-0.1301538490183782, 0.1509014519192932, -0.1668862571629385, 0.07384682277813881, -0.010501471942437715, -0.05760324755356761, -0.002505600246143315, 0.30920123354646195, -0.21726508681221227, -0.2765499080568062, 0.014790744696367989, -0.277972798931347, -0.11826646476657245, 0.14136094523168968, 0.009136210725205672, 0.08482116171600003, 0.0840872391351711, 0.04216688247234152, -0.058366716394135564, -0.19693603607613527, 0.33701050989003034, 0.08297812306371175, 0.26220417911546273, 0.07975513376949127, 0.1311800986908278, 0.028979384499651036, 0.01649562441825605, -0.013957978700075233, -0.08972887884840275, 0.06585832775096621, 0.16619710986943623, 0.09543833415955305, 0.2613923761487138, -0.39444717692962866, -0.20691212023232589, 0.11136197280792291, 0.1949788705494843, 0.14314156006041326, -0.07707524173198627, -0.24961144139728786, 0.03254209100187086, -0.175838489359114, -0.24187215187243724, -0.04208813030926282, 0.06369512558408212, 0.0947756644199488, -0.3113558772020042, 0.1628278493227666, 0.02233435350404889, -0.02468397446270836, -0.11720415619773823, -0.0815205246765624, -0.028471584268437142, 0.08257687305868194, 0.03260504360240016, 0.016233146019083888, 0.08208098844012343, -0.16814433928709804, -0.06758824390208087, 0.4138490768770377, -0.07117112859952868, -0.26939407709920615, 0.13662076794150235, -0.19639739829622077, -0.05672492595030028, 0.13633165573864653, 0.17821886370840825, 0.11181434214507278, -0.1609635641716682, 0.09873311586673944, -0.019815599480480478, 0.11926017865015749, 0.06321821190220744, 0.04439814145300995, 0.17138251346094827, 0.14125847286675453, 0.049415061887549724, 0.14408367377779396, -0.06443228034645711, -0.16118044647992702, -0.3016830367085181, -0.19572914674420627, -0.23801720118264488, 0.08554667569370124, -0.1097943118297017, -0.19247974151451336, 0.4215615348596322, 0.12921976650199085, 0.18361292352997943, 0.047326231113912764, 0.21861145985231065, 0.2358556927851679, -0.011749010884382745, 0.007200254356129128, 0.22947294858137243, 0.13679548054361684, 0.07295312573152937, -0.2526874974035053, 0.09426928160042224, 0.10493962027197867] |
707.33 | Perturbative SO(10) GUT and the Minimal Higgs Sector | The breaking of SO(10) to SU(3)_C x U(1)_EM can be accomplished by just four
Higgs fields: the symmetric rank-two tensor, S(54); a pair of spinors, C(16)
and Cbar(16bar); and a vector, T(10). This setup is also able to generate
realistic fermion masses. The heavy color triplets in the vector and spinor
fields mediate proton decay via dimension-five operators. The experimental
bounds on proton decay constrain the structure and size of the Yukawa
operators.
| hep-ph | the breaking of so10 to su3_c x u1_em can be accomplished by just four higgs fields the symmetric ranktwo tensor s54 a pair of spinors c16 and cbar16bar and a vector t10 this setup is also able to generate realistic fermion masses the heavy color triplets in the vector and spinor fields mediate proton decay via dimensionfive operators the experimental bounds on proton decay constrain the structure and size of the yukawa operators | [['the', 'breaking', 'of', 'so10', 'to', 'su3_c', 'x', 'u1_em', 'can', 'be', 'accomplished', 'by', 'just', 'four', 'higgs', 'fields', 'the', 'symmetric', 'ranktwo', 'tensor', 's54', 'a', 'pair', 'of', 'spinors', 'c16', 'and', 'cbar16bar', 'and', 'a', 'vector', 't10', 'this', 'setup', 'is', 'also', 'able', 'to', 'generate', 'realistic', 'fermion', 'masses', 'the', 'heavy', 'color', 'triplets', 'in', 'the', 'vector', 'and', 'spinor', 'fields', 'mediate', 'proton', 'decay', 'via', 'dimensionfive', 'operators', 'the', 'experimental', 'bounds', 'on', 'proton', 'decay', 'constrain', 'the', 'structure', 'and', 'size', 'of', 'the', 'yukawa', 'operators']] | [-0.1149982198387281, 0.3419417744670581, -0.00714849388330347, 0.1644200538802478, -0.10525522083238077, -0.1748787282316092, -0.002723656825259645, 0.3456179838006695, -0.1899173695839838, -0.24774531699303123, 0.03337302267027553, -0.23098265739261276, -0.03411897416743967, 0.07868920230410165, 0.08154539838950667, 0.015403272584080696, -0.003844808410374551, 0.06775829849842314, -0.11522505244809306, -0.26690903046983294, 0.3477487028156045, -0.036911098985001445, 0.26458882964733577, 0.08316295891988072, 0.10231895186007023, -0.0034342608026539287, 0.012404173496179283, -0.1380723525200867, -0.03684589299438004, 0.12582383363365401, 0.14458823290705267, 0.08588435636678089, 0.060776415090205975, -0.4118118535520302, -0.13462339588699657, 0.18810343014774844, 0.14413095678254548, 0.07142714298808844, -0.05766466860950459, -0.35710357599438997, 0.08877263054334132, -0.19466943280874854, -0.13121718365517962, -0.1269007555642424, -0.0456701993308444, -0.10425719536740669, -0.3926325983524698, 0.04449721624607466, -0.016948243360578392, 0.005958200044309099, -0.05152317004265367, -0.15113983057542807, -0.08771695512243444, -0.00017741971856190098, 0.13929915817182822, 0.045943391903872706, 0.1713832851188878, -0.15966364846018324, -0.14819989442670098, 0.3854321509392725, -0.12037185132956235, -0.24029591517561735, 0.11690448688912308, -0.12351377812188326, -0.09444207962628247, 0.10032215899425662, 0.19334038619935098, 0.11865624919947651, -0.17800117698061513, 0.19063296322646137, -0.07151338326123853, 0.142681651397854, 0.07555594982113689, 0.04932509525355676, 0.24026767521475753, 0.10159877502721631, 0.01576819462287757, 0.0554091182469468, -0.02833332575068602, -0.0641118106044208, -0.39044177366627586, -0.15493833681102842, -0.09601041491583197, 0.08746072739207496, -0.0959048556647354, -0.09927500204745836, 0.45441017237802345, 0.06521310565424049, 0.24204411307275425, -0.00562053229401095, 0.24294763201679517, 0.049103093165386885, 0.19673245234621894, 0.005376203315487753, 0.24553368051258279, 0.23506950269155721, 0.07563005045651355, -0.24086174295128635, -0.09275562601396814, 0.13446159627508475] |
707.3301 | Pulse Profiles, Spectra and Polarization Characteristics of Non-Thermal
Emissions from the Crab-Like Pulsars | We discuss non-thermal emission mechanism of the Crab-like pulsars with both
a two-dimensional electrodynamical study and a three-dimensional model. We
investigate the emission process in the outer gap accelerator. In the
two-dimensional electrodynamical study, we solve the Poisson equation of the
accelerating electric field in the outer gap and the equation of motion of the
primary particles with the synchrotron and the curvature radiation process and
the pair-creation process. We show a solved gap structure which produces a
consistent gamma-ray spectrum with EGRET observation. Based on the
two-dimensional model, we conduct a three-dimensional emission model to
calculate the synchrotron and the inverse-Compton processes of the secondary
pairs produced outside the outer gap. We calculate the pulse profiles, the
phase-resolved spectra and the polarization characteristics in optical to
$\gamma$-ray bands to compare the observation of the Crab pulsar and PSR
B0540-69. For the Crab pulsar, we find that the outer gap geometry extending
from near the stellar surface to near the light cylinder produces a complex
morphology change of the pulse profiles as a function of the photon energy.
This predicted morphology change is quite similar with that of the
observations. The calculated phase-resolved spectra are consistent with the
data through optical to the $\gamma$-ray bands. We demonstrate that the
10$\sim$20 % of the polarization degree in the optical emissions from the Crab
pulsar and the Vela pulsar are explained by the synchrotron emissions with the
particle gyration motion.
| astro-ph | we discuss nonthermal emission mechanism of the crablike pulsars with both a twodimensional electrodynamical study and a threedimensional model we investigate the emission process in the outer gap accelerator in the twodimensional electrodynamical study we solve the poisson equation of the accelerating electric field in the outer gap and the equation of motion of the primary particles with the synchrotron and the curvature radiation process and the paircreation process we show a solved gap structure which produces a consistent gammaray spectrum with egret observation based on the twodimensional model we conduct a threedimensional emission model to calculate the synchrotron and the inversecompton processes of the secondary pairs produced outside the outer gap we calculate the pulse profiles the phaseresolved spectra and the polarization characteristics in optical to gammaray bands to compare the observation of the crab pulsar and psr b054069 for the crab pulsar we find that the outer gap geometry extending from near the stellar surface to near the light cylinder produces a complex morphology change of the pulse profiles as a function of the photon energy this predicted morphology change is quite similar with that of the observations the calculated phaseresolved spectra are consistent with the data through optical to the gammaray bands we demonstrate that the 10sim20 of the polarization degree in the optical emissions from the crab pulsar and the vela pulsar are explained by the synchrotron emissions with the particle gyration motion | [['we', 'discuss', 'nonthermal', 'emission', 'mechanism', 'of', 'the', 'crablike', 'pulsars', 'with', 'both', 'a', 'twodimensional', 'electrodynamical', 'study', 'and', 'a', 'threedimensional', 'model', 'we', 'investigate', 'the', 'emission', 'process', 'in', 'the', 'outer', 'gap', 'accelerator', 'in', 'the', 'twodimensional', 'electrodynamical', 'study', 'we', 'solve', 'the', 'poisson', 'equation', 'of', 'the', 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707.3302 | A Semigroup Theory of Rate Independent Hysteresis | We explore a macroscopic, algebraic approach to rate independent hysteresis
using semigroup theory. A macroscopic description of metastable states relevant
to rate independent hysteresis is introduced using field history. The semigroup
structure of the history space is identified. Using semigroup theory and
related mathematical techniques, the general relation between return point
memory (RPM) and partial order is discovered. For hysteresis system with RPM, a
variational principle is identified. The erasing properties of field histories
are also characterized. The connection between this semigroup approach and
other models are also discussed.
| cond-mat.dis-nn cond-mat.stat-mech | we explore a macroscopic algebraic approach to rate independent hysteresis using semigroup theory a macroscopic description of metastable states relevant to rate independent hysteresis is introduced using field history the semigroup structure of the history space is identified using semigroup theory and related mathematical techniques the general relation between return point memory rpm and partial order is discovered for hysteresis system with rpm a variational principle is identified the erasing properties of field histories are also characterized the connection between this semigroup approach and other models are also discussed | [['we', 'explore', 'a', 'macroscopic', 'algebraic', 'approach', 'to', 'rate', 'independent', 'hysteresis', 'using', 'semigroup', 'theory', 'a', 'macroscopic', 'description', 'of', 'metastable', 'states', 'relevant', 'to', 'rate', 'independent', 'hysteresis', 'is', 'introduced', 'using', 'field', 'history', 'the', 'semigroup', 'structure', 'of', 'the', 'history', 'space', 'is', 'identified', 'using', 'semigroup', 'theory', 'and', 'related', 'mathematical', 'techniques', 'the', 'general', 'relation', 'between', 'return', 'point', 'memory', 'rpm', 'and', 'partial', 'order', 'is', 'discovered', 'for', 'hysteresis', 'system', 'with', 'rpm', 'a', 'variational', 'principle', 'is', 'identified', 'the', 'erasing', 'properties', 'of', 'field', 'histories', 'are', 'also', 'characterized', 'the', 'connection', 'between', 'this', 'semigroup', 'approach', 'and', 'other', 'models', 'are', 'also', 'discussed']] | [-0.11862992973516831, 0.14353213646564256, -0.10756909547980582, 0.10432399773651085, -0.10806944822955332, -0.12223369672664264, 0.07482374299924528, 0.33759170805177324, -0.3476183106024028, -0.26142621957016793, 0.11318469840217005, -0.26146928509278744, -0.16618457838390652, 0.2315634066825, -0.04686060714211022, 0.04628403801366352, 0.012705096807540133, 0.055570920921464484, -0.07122737182869335, -0.19998997330320267, 0.3206587092077171, 0.03942670475356699, 0.26925193936972136, 0.006813653022720573, 0.15808823722508852, -0.038391489627132756, -0.04129715523358141, 0.07316898096717758, -0.18256127679971665, 0.08337423471888276, 0.22173897608555623, 0.11589423230743909, 0.2213718772347849, -0.42130840105119716, -0.22894047387990724, 0.0668016875874293, 0.07683067112177443, 0.09430222433018551, -0.026090779477793178, -0.2696872573094756, 0.07591525162831786, -0.1731887377714843, -0.14851375736212463, -0.11611656127811483, 0.04167714243325708, -0.0046466854557897265, -0.23426362445507345, 0.10416725434276558, 0.05187814565914359, 0.10368036380655059, -0.05538656947652945, -0.0359520180519733, -0.03041557455042984, 0.09875039523467422, 0.03319272087635786, 0.031139449530354378, 0.1519071988269603, -0.05780043421323631, -0.15608921277158883, 0.30819603616601965, -0.038701387837769864, -0.1623869212239646, 0.17792255622910313, -0.14506797020564252, -0.11003321257493134, 0.1114489563608024, 0.09959630465679122, 0.12703290865514585, -0.188202455598636, 0.10926254982916178, -0.012705280900713099, 0.16045632496576892, 0.0424331184476614, 0.05803012725402695, 0.19349280424583493, 0.1910164568029093, -0.0043186557929167585, 0.14803484015969895, -0.007053677803637941, -0.17864325720021565, -0.3191998519547535, -0.14094364736752396, -0.13738723981372092, 0.05772889677560731, -0.10048101765866878, -0.1639800358019518, 0.36925551361728753, 0.14032206337459469, 0.15478249287672258, 0.030737942032348572, 0.21240720735977958, 0.15558906347919885, 0.023964359383151102, 0.038123160569269336, 0.17359400394744123, 0.22775547768334659, 0.08956705139991775, -0.23860568942612015, 0.09523333038276668, 0.14963456945169423] |
707.3303 | Operator valued frames on C*-modules | Frames on Hilbert C*-modules have been defined for unital C*-algebras by
Frank and Larson and operator valued frames on a Hilbert space have been
studied in arXiv.0707.3272v1.[math.FA]. Goal of the present paper is to
introduce operator valued frames on a Hilbert C*-module for a sigma-unital
C*-algebra. Theorem 1.4 reformulates the definition given by Frank and Larson
in terms of a series of rank-one operators converging in the strict topology.
Theorem 2.2. shows that the frame transform and the frame projection of an
operator valued frame are limits in the strict topology of a series of elements
in the multiplier algebra and hence belong to it. Theorem 3.3 shows that two
operator valued frames are right similar if and only if they share the same
frame projection. Theorem 3.4 establishes a one to one correspondence between
Murray-von Neumann equivalence classes of projections in the multiplier algebra
and right similarity equivalence classes of operator valued frames and provides
a parametrization of all Parseval operator-valued frames on a given Hilbert
C*-module. Left similarity is then defined and Proposition 3.9 establishes when
two left unitarily equivalent frames are also right unitarily equivalent.
| math.OA math.FA | frames on hilbert cmodules have been defined for unital calgebras by frank and larson and operator valued frames on a hilbert space have been studied in arxiv07073272v1mathfa goal of the present paper is to introduce operator valued frames on a hilbert cmodule for a sigmaunital calgebra theorem 14 reformulates the definition given by frank and larson in terms of a series of rankone operators converging in the strict topology theorem 22 shows that the frame transform and the frame projection of an operator valued frame are limits in the strict topology of a series of elements in the multiplier algebra and hence belong to it theorem 33 shows that two operator valued frames are right similar if and only if they share the same frame projection theorem 34 establishes a one to one correspondence between murrayvon neumann equivalence classes of projections in the multiplier algebra and right similarity equivalence classes of operator valued frames and provides a parametrization of all parseval operatorvalued frames on a given hilbert cmodule left similarity is then defined and proposition 39 establishes when two left unitarily equivalent frames are also right unitarily equivalent | [['frames', 'on', 'hilbert', 'cmodules', 'have', 'been', 'defined', 'for', 'unital', 'calgebras', 'by', 'frank', 'and', 'larson', 'and', 'operator', 'valued', 'frames', 'on', 'a', 'hilbert', 'space', 'have', 'been', 'studied', 'in', 'arxiv07073272v1mathfa', 'goal', 'of', 'the', 'present', 'paper', 'is', 'to', 'introduce', 'operator', 'valued', 'frames', 'on', 'a', 'hilbert', 'cmodule', 'for', 'a', 'sigmaunital', 'calgebra', 'theorem', '14', 'reformulates', 'the', 'definition', 'given', 'by', 'frank', 'and', 'larson', 'in', 'terms', 'of', 'a', 'series', 'of', 'rankone', 'operators', 'converging', 'in', 'the', 'strict', 'topology', 'theorem', '22', 'shows', 'that', 'the', 'frame', 'transform', 'and', 'the', 'frame', 'projection', 'of', 'an', 'operator', 'valued', 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707.3304 | Valdivia compact groups are products | It is shown that every Valdivia compact group is homeomorphic to a product of
metrizable compacta.
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707.3305 | Finsleroid Corrects Pressure and Energy of Universe. Respective
Cosmological Equations | The Hubble constant proves to be the pseudo-Finsleroid--Landsberg factor. The
covariantly conserved pseudo-Finsleroid--gravitational tensor is explicitly
found after evaluating the respective Finsleroid--case curvature tensor and
required contractions in attentive way. The equations arisen involve one
parameter g of extension which measures the Finslerian deviation of the
curvature of the indicatrix of unit vectors. The vector field b^i(x) of the
axes of the pseudo--Finsleroids is naturally identified to the field of average
velocity vectors of matter of the universe. The consistent (and unique)
continuation of the Robertson--Walker metric, and hence the Friedmann metrics,
in the Finslerian domain with respect to the parameter g is arisen. The
cosmological pressure and energy density prove to be linear functions of g^2,
so that the presence of the negative pressure seems to be not necessary to get
the agreement with the observed negative nature of deceleration parameter. We
clarify the explicit structure of all the involved tensorial objects.
| math-ph math.MP | the hubble constant proves to be the pseudofinsleroidlandsberg factor the covariantly conserved pseudofinsleroidgravitational tensor is explicitly found after evaluating the respective finsleroidcase curvature tensor and required contractions in attentive way the equations arisen involve one parameter g of extension which measures the finslerian deviation of the curvature of the indicatrix of unit vectors the vector field bix of the axes of the pseudofinsleroids is naturally identified to the field of average velocity vectors of matter of the universe the consistent and unique continuation of the robertsonwalker metric and hence the friedmann metrics in the finslerian domain with respect to the parameter g is arisen the cosmological pressure and energy density prove to be linear functions of g2 so that the presence of the negative pressure seems to be not necessary to get the agreement with the observed negative nature of deceleration parameter we clarify the explicit structure of all the involved tensorial objects | [['the', 'hubble', 'constant', 'proves', 'to', 'be', 'the', 'pseudofinsleroidlandsberg', 'factor', 'the', 'covariantly', 'conserved', 'pseudofinsleroidgravitational', 'tensor', 'is', 'explicitly', 'found', 'after', 'evaluating', 'the', 'respective', 'finsleroidcase', 'curvature', 'tensor', 'and', 'required', 'contractions', 'in', 'attentive', 'way', 'the', 'equations', 'arisen', 'involve', 'one', 'parameter', 'g', 'of', 'extension', 'which', 'measures', 'the', 'finslerian', 'deviation', 'of', 'the', 'curvature', 'of', 'the', 'indicatrix', 'of', 'unit', 'vectors', 'the', 'vector', 'field', 'bix', 'of', 'the', 'axes', 'of', 'the', 'pseudofinsleroids', 'is', 'naturally', 'identified', 'to', 'the', 'field', 'of', 'average', 'velocity', 'vectors', 'of', 'matter', 'of', 'the', 'universe', 'the', 'consistent', 'and', 'unique', 'continuation', 'of', 'the', 'robertsonwalker', 'metric', 'and', 'hence', 'the', 'friedmann', 'metrics', 'in', 'the', 'finslerian', 'domain', 'with', 'respect', 'to', 'the', 'parameter', 'g', 'is', 'arisen', 'the', 'cosmological', 'pressure', 'and', 'energy', 'density', 'prove', 'to', 'be', 'linear', 'functions', 'of', 'g2', 'so', 'that', 'the', 'presence', 'of', 'the', 'negative', 'pressure', 'seems', 'to', 'be', 'not', 'necessary', 'to', 'get', 'the', 'agreement', 'with', 'the', 'observed', 'negative', 'nature', 'of', 'deceleration', 'parameter', 'we', 'clarify', 'the', 'explicit', 'structure', 'of', 'all', 'the', 'involved', 'tensorial', 'objects']] | [-0.17421721395155126, 0.12582289222346607, -0.07936318248397851, 0.050588834553413196, -0.14545771418976905, -0.07652450713325892, -0.038383229349696096, 0.32963571900770616, -0.2841870165898796, -0.2702615338259677, 0.060662261002943946, -0.2320597898246308, -0.10473020499784674, 0.12239408730560501, -0.025501017025890665, 0.023311259918814938, -0.005176688788221187, 0.10830135171570433, -0.07935804602121246, -0.2476251606873218, 0.3872318163439131, 0.07431717455737143, 0.24645591469719105, 0.03803074803209595, 0.14354900327579886, -0.07111874025005648, -0.06033865115511537, 0.06158188947682713, -0.15846995238103198, 0.10371528338287776, 0.198317586767781, 0.11243242229610032, 0.2240971227210865, -0.3739378533619862, -0.21342549175524073, 0.14764227960633752, 0.09281979626647803, 0.06634055258590578, 0.016782121249199564, -0.29094684695912487, 0.05991155333541984, -0.1137782385097754, -0.17034698072695892, -0.07441205212271354, 0.01963187254466829, -0.02272654416027085, -0.23770146822867816, 0.1304191701026671, 0.03945033959169316, -0.01083281955012939, -0.1261397856412668, -0.10930131312347198, -0.05736263078518662, 0.09380102679820969, 0.14189527610288746, 0.08685921139127556, 0.1206180420922953, -0.13012057037722483, -0.061027568280962514, 0.40343889695961005, -0.09652544296465364, -0.22482452158415347, 0.08882366198165055, -0.18241008162075004, -0.09036286392299171, 0.10416366013810789, 0.11818741256646162, 0.10684031229966238, -0.11551779088597032, 0.12943905217716808, 0.0018655726328279647, 0.12582662866150823, 0.09395008629825491, 0.00837633745769631, 0.19863131222308883, 0.03851465554907918, 0.07097650696242215, 0.0995391828090815, -0.03557428076000722, -0.08933471744542554, -0.36672289439808303, -0.20782266500337213, -0.17684409059599768, 0.06500882375838889, -0.18361702645408465, -0.1942308398538688, 0.398572513589873, 0.10253981711349182, 0.2178456162847891, 0.03441339436427834, 0.26365745532632673, 0.0990003735614603, 0.1040995990241809, 0.09037136447759683, 0.2945577251293615, 0.19893417752116618, 0.08156115831119702, -0.22441167778479273, 0.044308530560525874, 0.06403423119930163] |
707.3306 | Spectral decomposition approach to macroscopic parameters of
Fokker-Planck flows: Part 1 | In this paper we proceed with investigation of connections between Fokker -
Planck equation and continuum mechanics. In spectral decomposition of Fokker -
Planck equation solution we preserve only terms with the smallest degree of
damping. We find, that macroscopic parameters of Fokker-Planck flows, obtained
in this way, have following properties: velocities field possess potential, its
potential is proportional to density logarithm and satisfy diffusion equation.
We proved, that such a pair of density and velocities field satisfy the set of
classic hydrodynamics equations for isothermal compressible fluid with friction
mass force, proportional to velocity. We proved also, that the potential
velocities field alone, with potential, which satisfy diffusion equation,
satisfy Burgers equation without mass forces.
| nlin.CD | in this paper we proceed with investigation of connections between fokker planck equation and continuum mechanics in spectral decomposition of fokker planck equation solution we preserve only terms with the smallest degree of damping we find that macroscopic parameters of fokkerplanck flows obtained in this way have following properties velocities field possess potential its potential is proportional to density logarithm and satisfy diffusion equation we proved that such a pair of density and velocities field satisfy the set of classic hydrodynamics equations for isothermal compressible fluid with friction mass force proportional to velocity we proved also that the potential velocities field alone with potential which satisfy diffusion equation satisfy burgers equation without mass forces | [['in', 'this', 'paper', 'we', 'proceed', 'with', 'investigation', 'of', 'connections', 'between', 'fokker', 'planck', 'equation', 'and', 'continuum', 'mechanics', 'in', 'spectral', 'decomposition', 'of', 'fokker', 'planck', 'equation', 'solution', 'we', 'preserve', 'only', 'terms', 'with', 'the', 'smallest', 'degree', 'of', 'damping', 'we', 'find', 'that', 'macroscopic', 'parameters', 'of', 'fokkerplanck', 'flows', 'obtained', 'in', 'this', 'way', 'have', 'following', 'properties', 'velocities', 'field', 'possess', 'potential', 'its', 'potential', 'is', 'proportional', 'to', 'density', 'logarithm', 'and', 'satisfy', 'diffusion', 'equation', 'we', 'proved', 'that', 'such', 'a', 'pair', 'of', 'density', 'and', 'velocities', 'field', 'satisfy', 'the', 'set', 'of', 'classic', 'hydrodynamics', 'equations', 'for', 'isothermal', 'compressible', 'fluid', 'with', 'friction', 'mass', 'force', 'proportional', 'to', 'velocity', 'we', 'proved', 'also', 'that', 'the', 'potential', 'velocities', 'field', 'alone', 'with', 'potential', 'which', 'satisfy', 'diffusion', 'equation', 'satisfy', 'burgers', 'equation', 'without', 'mass', 'forces']] | [-0.139366068671, 0.11798499200264351, -0.12654348462820053, 0.013071548159993989, -0.11807476231836501, -0.1288995281486821, -0.05967532826093303, 0.2968433018806472, -0.29502638917939183, -0.3076020154219709, 0.016956758546017994, -0.2872784932699512, -0.1199350521589319, 0.15483008473784776, 0.009146440288117319, 0.07721215602482277, 0.04723266981084619, 0.018292352283504187, -0.04080696492415052, -0.20903489662930697, 0.3542765409832722, 0.02171463654948431, 0.2290500630808406, 0.029218552254174586, 0.1604170962522754, -0.05533626921507612, -0.0024189856965421584, 0.07940960255157399, -0.24604765059350603, 0.02009863697049584, 0.13352293916569466, 0.038147612601485956, 0.2254469112346047, -0.4316670122156083, -0.2476806796103279, 0.113938437035438, 0.12928350534486144, 0.09608689262715511, -0.057767332812338215, -0.23530918015820676, 0.02901940492161533, -0.15934046666179233, -0.24746091266748854, -0.08758849656340062, 0.058203224026344785, 0.08758691690551738, -0.2481637777384828, 0.22204035772761258, 0.022368791329331304, 0.006966000831310163, -0.16603608607629053, -0.09309677580338821, -0.0618903267569023, 0.03960187630646192, 0.07335084692673072, 0.010325632268959134, 0.10786744971808634, -0.15561966230202334, -0.01720551900532946, 0.4093730678585799, -0.11810280548473984, -0.2668280065500815, 0.1490291298056642, -0.15364651926057904, -0.1038959490527448, 0.1215907824675046, 0.1536702418499708, 0.04521865335603555, -0.1710609099255842, 0.10268460366754434, -0.027624419005996173, 0.14963740892218133, 0.11679567145837243, -0.0017950119810146198, 0.16184024190481164, 0.08528045071452334, 0.07492512312774922, 0.05983222353480462, -0.0562923948552149, -0.12821937970849767, -0.3327501818799136, -0.17303851936339287, -0.18885704077649534, 0.11106102246170242, -0.12002608571122421, -0.1619115659574929, 0.29449001252814605, 0.21057916885209188, 0.15590453340688296, 0.09818488201065186, 0.25612222188430134, 0.22075430195476847, 0.04989285849181837, 0.12818151858651586, 0.24394076994799993, 0.24568137643948654, 0.130787375481113, -0.2646452035395461, -0.02277266947356494, 0.1438566303624069] |
707.3307 | Chemical nanomachining of silicon by gold-catalyzed oxidation | A chemical nanomachining process for the rapid, scalable production of
nanostructure assemblies from silicon-on-insulator is demonstrated. The process
is based on the spontaneous, local oxidation of Si induced by Au, which is
selectively evaporated onto the Si surface. The Au-catalyzed oxide forms a
pattern that serves as a robust mask for the underlying Si, enabling the use of
simple wet chemistry to sculpt arrays of nanostructures of diverse shapes
including rings, pillars, wires, and nanopores. The remarkable simplicity of
this chemical nanomachining process makes it widely accessible as an enabling
technique for applications from photonics to biotechnology.
| cond-mat.mtrl-sci | a chemical nanomachining process for the rapid scalable production of nanostructure assemblies from silicononinsulator is demonstrated the process is based on the spontaneous local oxidation of si induced by au which is selectively evaporated onto the si surface the aucatalyzed oxide forms a pattern that serves as a robust mask for the underlying si enabling the use of simple wet chemistry to sculpt arrays of nanostructures of diverse shapes including rings pillars wires and nanopores the remarkable simplicity of this chemical nanomachining process makes it widely accessible as an enabling technique for applications from photonics to biotechnology | [['a', 'chemical', 'nanomachining', 'process', 'for', 'the', 'rapid', 'scalable', 'production', 'of', 'nanostructure', 'assemblies', 'from', 'silicononinsulator', 'is', 'demonstrated', 'the', 'process', 'is', 'based', 'on', 'the', 'spontaneous', 'local', 'oxidation', 'of', 'si', 'induced', 'by', 'au', 'which', 'is', 'selectively', 'evaporated', 'onto', 'the', 'si', 'surface', 'the', 'aucatalyzed', 'oxide', 'forms', 'a', 'pattern', 'that', 'serves', 'as', 'a', 'robust', 'mask', 'for', 'the', 'underlying', 'si', 'enabling', 'the', 'use', 'of', 'simple', 'wet', 'chemistry', 'to', 'sculpt', 'arrays', 'of', 'nanostructures', 'of', 'diverse', 'shapes', 'including', 'rings', 'pillars', 'wires', 'and', 'nanopores', 'the', 'remarkable', 'simplicity', 'of', 'this', 'chemical', 'nanomachining', 'process', 'makes', 'it', 'widely', 'accessible', 'as', 'an', 'enabling', 'technique', 'for', 'applications', 'from', 'photonics', 'to', 'biotechnology']] | [-0.055654851688532944, 0.11764237384168436, -0.05163775304735629, -0.04637937489496835, -0.020933777103488593, -0.16708300772036627, 0.03585980142725958, 0.43088886506625057, -0.2896412043380983, -0.2838126358758543, 0.05908654116516568, -0.22206274723422895, -0.1687551494249738, 0.24328349618068368, -0.027082508669916502, 0.04540496466611752, 0.016595446024589317, -0.13145667417743004, -0.013894278251268353, -0.16758746826738005, 0.2413599670663015, 0.10953558653055392, 0.3325438716055192, 0.088088708728091, 0.09277659692062237, -0.004695120548406981, 0.04515376210167101, -0.05092283869978309, -0.1121677388032789, 0.17464672435151854, 0.23575226011081146, 0.052112376158961006, 0.20644184889406272, -0.5015801779119317, -0.23726983608518362, 0.015071020269593628, 0.11223371492065105, 0.1586119154235348, -0.13881996434215532, -0.2440974558943633, 0.0760817693452802, -0.12205459248303369, -0.13095465703320103, -0.020677576619248416, 0.05345454343028136, -0.005008555276645827, -0.2652613862103197, -0.0017016481598551125, 0.06911087664055456, 0.05702963860983932, 0.009060029611327522, -0.09931405120020367, -0.09923639276410579, 0.07884599740818604, -0.0690644112371806, -0.030369574741758023, 0.3068921833164683, -0.08556106085793029, -0.10620935383905686, 0.39521759525709543, -0.033968406316545824, -0.0992886290983621, 0.2529895680874932, -0.08167384305102367, -0.04882304705487391, 0.19882944220504195, 0.1555602945550585, 0.1374501332451023, -0.1856656660393034, 0.08699491734258812, 0.06973586154659998, 0.17422685939482577, 0.10711055988273055, 0.04326440455852864, 0.2852372356508042, 0.28084674996045444, 0.04279841466557196, 0.1491697400510695, -0.10540395429521107, -0.04914354016409092, -0.1922373928456116, -0.2599986096767267, -0.20578779399241368, 0.05112567974360103, -0.08054991151892085, -0.23094939677640028, 0.3579536752544881, 0.10339621880773417, 0.17460689164659718, -0.08246774297836476, 0.28242687851709036, 0.0041225755121558905, 0.13483983693049126, -0.06290678508080465, 0.19963536344314972, 0.1966546049999246, 0.1258759063562935, -0.17414201167412102, 0.13953840844189153, -0.025892468414163775] |
707.3308 | Possible signatures of unparticles in rare annihilation type B decays | We investigate the effect of unparticles in the pure annihilation type decays
$B^- \to D_s^-\phi $ and $ D_s^- K^{*0}$. Since these decays have only
annihilation contributions their branching ratios are expected to be very small
in the standard model and the direct CP asymmetry parameters to be zero. We
find that due to the unparticle effect these branching ratios can be
significantly enhanced from their standard model values. Furthermore, sizable
nonzero direct CP violation could also be possible in these channels due to the
presence of intrinsic CP conserving phase in the unparticle propagator.
| hep-ph | we investigate the effect of unparticles in the pure annihilation type decays b to d_sphi and d_s k0 since these decays have only annihilation contributions their branching ratios are expected to be very small in the standard model and the direct cp asymmetry parameters to be zero we find that due to the unparticle effect these branching ratios can be significantly enhanced from their standard model values furthermore sizable nonzero direct cp violation could also be possible in these channels due to the presence of intrinsic cp conserving phase in the unparticle propagator | [['we', 'investigate', 'the', 'effect', 'of', 'unparticles', 'in', 'the', 'pure', 'annihilation', 'type', 'decays', 'b', 'to', 'd_sphi', 'and', 'd_s', 'k0', 'since', 'these', 'decays', 'have', 'only', 'annihilation', 'contributions', 'their', 'branching', 'ratios', 'are', 'expected', 'to', 'be', 'very', 'small', 'in', 'the', 'standard', 'model', 'and', 'the', 'direct', 'cp', 'asymmetry', 'parameters', 'to', 'be', 'zero', 'we', 'find', 'that', 'due', 'to', 'the', 'unparticle', 'effect', 'these', 'branching', 'ratios', 'can', 'be', 'significantly', 'enhanced', 'from', 'their', 'standard', 'model', 'values', 'furthermore', 'sizable', 'nonzero', 'direct', 'cp', 'violation', 'could', 'also', 'be', 'possible', 'in', 'these', 'channels', 'due', 'to', 'the', 'presence', 'of', 'intrinsic', 'cp', 'conserving', 'phase', 'in', 'the', 'unparticle', 'propagator']] | [-0.09702790843608279, 0.2505802806386704, -0.051367867677923174, 0.13233767229542936, -0.10325491578588562, -0.1493036577337852, 0.10248127901896593, 0.2985007125553825, -0.2948361749370252, -0.2801827186798697, 0.029218342951348713, -0.27550049628361417, -0.07442611513499131, 0.11222192618535251, 0.05515014628569285, 0.02070717536985138, 0.04198370241905532, -0.01090861089848062, -0.07467790936703182, -0.2160156648656133, 0.24403299069813184, 0.012786539384133874, 0.2309216104963574, 0.12409923924133182, -0.07247197814285755, -0.07292312450747016, -0.057962944881329616, 0.007601374229516393, -0.10909471174450754, 0.012346363148241434, 0.17009342117335208, 0.07056687540444796, 0.04954124043785756, -0.3536564189520094, -0.11362754974153734, 0.28084201336668063, 0.18535565252175495, 0.1273070389595163, -0.019004002173421203, -0.3544472452873985, 0.1266799344711246, -0.20277268996822737, -0.04533990206677587, -0.1009155420826808, 0.04910670720561538, -0.09676712800458234, -0.32772091724058633, 0.13767739759115952, -0.032301928167061136, -0.05109126180390357, 0.022956257761125604, -0.21870293567377713, -0.03815314547729588, 0.07248906589423616, 0.16424364098397795, -0.002862984377149773, 0.15499216903438254, -0.1559081849271572, -0.15159577313029476, 0.4174207766109737, -0.13197496918941376, -0.23027590177552673, 0.18584337485052885, -0.21291445260767333, -0.13164707131042916, 0.1805379190206808, 0.22967298216717216, 0.04675732739801739, -0.16281873546540737, 0.13560425009333119, -0.0070200429588396064, 0.12030760442177134, 0.0432778568688019, 0.12739010005488352, 0.2361405541599598, 0.10230369803806146, 0.008182843989362159, 0.062758671475314, -0.09668422268042641, -0.0721566532844908, -0.32862340066061224, -0.15414861066927832, -0.08244789160177192, 0.09655991837542544, -0.09278672937239942, -0.07858127386619647, 0.33296461075654515, 0.13418102561325956, 0.25922353763223416, 0.0052410575050500135, 0.29961029749604, 0.1679223489857489, 0.11396022134783468, 0.004567445000453341, 0.3782616850709723, 0.16568751457918396, 0.11655197238489505, -0.29657072795464867, 0.08914635733010308, -0.0165789912865367] |
707.3309 | Tetra-Quark Resonances in Lattice QCD | We study $qq \bar q \bar q$-type four-quark (4Q) systems in SU(3)$_c$
anisotropic quenched lattice QCD, using the $O(a)$-improved Wilson (clover)
fermion at $\beta=5.75$ on $12^3 \times 96$ with renormalized anisotropy
$a_s/a_t=4$.For comparison, we first investigate the lowest $q\bar q$ scalar
meson from the connected diagram and find its large mass of about 1.32GeV after
chiral extrapolation, and thus the lowest $q\bar q$ scalar meson corresponds to
$f_0(1370)$.We investigate the lowest 4Q state in the spatially periodic
boundary condition, and find that it is just a two-pion scattering state, as is
expected. To examine spatially-localized 4Q resonances, we use the Hybrid
Boundary Condition (HBC) method, where anti-periodic and periodic boundary
conditions are imposed on quarks and antiquarks, respectively. By applying HBC
on a finite-volume lattice, the threshold of the two-meson scattering state is
raised up, while the mass of a compact 4Q resonance is almost unchanged.In HBC,
the lowest 4Q state appears slightly below the two-meson threshold. To clarify
the nature of the 4Q system, we apply the Maximum Entropy Method (MEM) for the
4Q correlator and obtain the spectral function of the 4Q system.From the
combination analysis of MEM with HBC, we finally conclude that the 4Q system
appears as a two-pion scattering state and there is no spatially-localized 4Q
resonance in the quark-mass region of $m_s< m_q <2m_s$.
| hep-lat | we study qq bar q bar qtype fourquark 4q systems in su3_c anisotropic quenched lattice qcd using the oaimproved wilson clover fermion at beta575 on 123 times 96 with renormalized anisotropy a_sa_t4for comparison we first investigate the lowest qbar q scalar meson from the connected diagram and find its large mass of about 132gev after chiral extrapolation and thus the lowest qbar q scalar meson corresponds to f_01370we investigate the lowest 4q state in the spatially periodic boundary condition and find that it is just a twopion scattering state as is expected to examine spatiallylocalized 4q resonances we use the hybrid boundary condition hbc method where antiperiodic and periodic boundary conditions are imposed on quarks and antiquarks respectively by applying hbc on a finitevolume lattice the threshold of the twomeson scattering state is raised up while the mass of a compact 4q resonance is almost unchangedin hbc the lowest 4q state appears slightly below the twomeson threshold to clarify the nature of the 4q system we apply the maximum entropy method mem for the 4q correlator and obtain the spectral function of the 4q systemfrom the combination analysis of mem with hbc we finally conclude that the 4q system appears as a twopion scattering state and there is no spatiallylocalized 4q resonance in the quarkmass region of m_s m_q 2m_s | [['we', 'study', 'qq', 'bar', 'q', 'bar', 'qtype', 'fourquark', '4q', 'systems', 'in', 'su3_c', 'anisotropic', 'quenched', 'lattice', 'qcd', 'using', 'the', 'oaimproved', 'wilson', 'clover', 'fermion', 'at', 'beta575', 'on', '123', 'times', '96', 'with', 'renormalized', 'anisotropy', 'a_sa_t4for', 'comparison', 'we', 'first', 'investigate', 'the', 'lowest', 'qbar', 'q', 'scalar', 'meson', 'from', 'the', 'connected', 'diagram', 'and', 'find', 'its', 'large', 'mass', 'of', 'about', '132gev', 'after', 'chiral', 'extrapolation', 'and', 'thus', 'the', 'lowest', 'qbar', 'q', 'scalar', 'meson', 'corresponds', 'to', 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707.331 | Root systems for asymmetric geometric representations of Coxeter groups | Results are obtained concerning the roots of asymmetric geometric
representations of Coxeter groups. These representations were independently
introduced by Vinberg and Eriksson, and generalize the standard geometric
representation of a Coxeter group in such a way as to include all Kac--Moody
Weyl groups. In particular, a characterization of when a non-trivial multiple
of a root may also be a root is given in the general context. Characterizations
of when the number of such multiples of a root is finite and when the number of
positive roots sent to negative roots by a group element is finite are also
given. These characterizations are stated in terms of combinatorial conditions
on a graph closely related to the Coxeter graph for the group. Other finiteness
results for the symmetric case which are connected to the Tits cone and to a
natural partial order on positive roots are extended to this asymmetric
setting.
| math.GR | results are obtained concerning the roots of asymmetric geometric representations of coxeter groups these representations were independently introduced by vinberg and eriksson and generalize the standard geometric representation of a coxeter group in such a way as to include all kacmoody weyl groups in particular a characterization of when a nontrivial multiple of a root may also be a root is given in the general context characterizations of when the number of such multiples of a root is finite and when the number of positive roots sent to negative roots by a group element is finite are also given these characterizations are stated in terms of combinatorial conditions on a graph closely related to the coxeter graph for the group other finiteness results for the symmetric case which are connected to the tits cone and to a natural partial order on positive roots are extended to this asymmetric setting | [['results', 'are', 'obtained', 'concerning', 'the', 'roots', 'of', 'asymmetric', 'geometric', 'representations', 'of', 'coxeter', 'groups', 'these', 'representations', 'were', 'independently', 'introduced', 'by', 'vinberg', 'and', 'eriksson', 'and', 'generalize', 'the', 'standard', 'geometric', 'representation', 'of', 'a', 'coxeter', 'group', 'in', 'such', 'a', 'way', 'as', 'to', 'include', 'all', 'kacmoody', 'weyl', 'groups', 'in', 'particular', 'a', 'characterization', 'of', 'when', 'a', 'nontrivial', 'multiple', 'of', 'a', 'root', 'may', 'also', 'be', 'a', 'root', 'is', 'given', 'in', 'the', 'general', 'context', 'characterizations', 'of', 'when', 'the', 'number', 'of', 'such', 'multiples', 'of', 'a', 'root', 'is', 'finite', 'and', 'when', 'the', 'number', 'of', 'positive', 'roots', 'sent', 'to', 'negative', 'roots', 'by', 'a', 'group', 'element', 'is', 'finite', 'are', 'also', 'given', 'these', 'characterizations', 'are', 'stated', 'in', 'terms', 'of', 'combinatorial', 'conditions', 'on', 'a', 'graph', 'closely', 'related', 'to', 'the', 'coxeter', 'graph', 'for', 'the', 'group', 'other', 'finiteness', 'results', 'for', 'the', 'symmetric', 'case', 'which', 'are', 'connected', 'to', 'the', 'tits', 'cone', 'and', 'to', 'a', 'natural', 'partial', 'order', 'on', 'positive', 'roots', 'are', 'extended', 'to', 'this', 'asymmetric', 'setting']] | [-0.14670767742615418, 0.12648049092557806, -0.075871979437152, 0.03797494794629614, -0.14893504231699412, -0.11381743756441662, 0.004631119573976369, 0.32830975542232493, -0.31703916769599755, -0.24949973681004056, 0.14807868798282123, -0.2835017527209832, -0.16815997833923604, 0.20957841109109404, -0.14229309423857886, -0.0052104113868050176, 0.032897149043895256, 0.15023183664494513, -0.0701291699613575, -0.2981325459167293, 0.37181360726463514, -0.028640788534481154, 0.2043062465877941, 0.05900209400827853, 0.08464040285938938, 0.0008086996596781599, -0.04377342304746126, 0.0570891874486068, -0.09744534585660092, 0.12669669364847794, 0.3022549625661149, 0.054114787979989046, 0.23041961691186033, -0.3564944865975854, -0.15128497037202146, 0.1661325315976103, 0.12539708388081733, 0.05911212315979795, -0.05904204899213908, -0.28945379642825947, 0.1473154720300246, -0.15084770097766045, -0.14636826649583226, -0.022605409108152324, 0.03683270629020345, 0.04229956022119962, -0.26079154746050653, 0.024249470157895688, 0.0798900309612587, 0.09876434188242376, -0.038968340443734754, -0.14883088811078804, -0.005250864593474657, 0.12868951829505815, -0.02065308494399608, -0.0267798704135813, 0.04636315167912801, -0.0918135245911927, -0.14691898493008726, 0.42160945242870873, 0.017637963580973946, -0.25035102698005013, 0.17868248738923528, -0.1678106815197924, -0.1440468405329641, 0.10910214086206968, 0.14955616567358876, 0.09466734280787883, -0.06540600202605362, 0.09927657455824715, -0.136947258528722, 0.04143410020479745, 0.10613245728906968, -0.004508076299328807, 0.13775185088083247, 0.04243480773555152, 0.06734434917769176, 0.14703725150516006, 0.05197702696071875, -0.05801232790749445, -0.33980624766234346, -0.19394222558116628, -0.17042698845307924, 0.0633585913491204, -0.1319606832137578, -0.19184115268102528, 0.42964122044360076, 0.06476955252446409, 0.17985622065091794, 0.09929255880931105, 0.20307907861994967, 0.09656517507255252, 0.07901884044751825, 0.01971523446273512, 0.1038931300457342, 0.2127048994692655, -0.03318864544666054, -0.15349006189983463, 0.04120766314140352, 0.171806847448492] |
707.3311 | Linear and nonlinear optical spectroscopy of a strongly-coupled
microdisk-quantum dot system | A fiber taper waveguide is used to perform direct optical spectroscopy of a
microdisk-quantum-dot system, exciting the system through the photonic (light)
channel rather than the excitonic (matter) channel. Strong coupling, the regime
of coherent quantum interactions, is demonstrated through observation of vacuum
Rabi splitting in the transmitted and reflected signals from the cavity. The
fiber coupling method also allows the examination of the system's steady-state
nonlinear properties, where saturation of the cavity-QD response is observed
for less than one intracavity photon.
| quant-ph physics.optics | a fiber taper waveguide is used to perform direct optical spectroscopy of a microdiskquantumdot system exciting the system through the photonic light channel rather than the excitonic matter channel strong coupling the regime of coherent quantum interactions is demonstrated through observation of vacuum rabi splitting in the transmitted and reflected signals from the cavity the fiber coupling method also allows the examination of the systems steadystate nonlinear properties where saturation of the cavityqd response is observed for less than one intracavity photon | [['a', 'fiber', 'taper', 'waveguide', 'is', 'used', 'to', 'perform', 'direct', 'optical', 'spectroscopy', 'of', 'a', 'microdiskquantumdot', 'system', 'exciting', 'the', 'system', 'through', 'the', 'photonic', 'light', 'channel', 'rather', 'than', 'the', 'excitonic', 'matter', 'channel', 'strong', 'coupling', 'the', 'regime', 'of', 'coherent', 'quantum', 'interactions', 'is', 'demonstrated', 'through', 'observation', 'of', 'vacuum', 'rabi', 'splitting', 'in', 'the', 'transmitted', 'and', 'reflected', 'signals', 'from', 'the', 'cavity', 'the', 'fiber', 'coupling', 'method', 'also', 'allows', 'the', 'examination', 'of', 'the', 'systems', 'steadystate', 'nonlinear', 'properties', 'where', 'saturation', 'of', 'the', 'cavityqd', 'response', 'is', 'observed', 'for', 'less', 'than', 'one', 'intracavity', 'photon']] | [-0.1947474970424082, 0.1677309721126221, -0.10391196887139813, 0.010649344128614758, -0.05421804453362711, -0.20651841902872548, 0.048952327024016994, 0.40594834755174813, -0.25257253856398165, -0.25380464845802636, 0.03575420486013172, -0.2809169613321501, -0.12157926414511167, 0.27020967393182216, 0.06770931519567966, 0.08541248474502935, 0.057443341857288034, -0.00840454114950262, 0.011748434725450351, -0.12148458271549316, 0.27958982586133063, 0.047599399399769024, 0.32464299416169523, 0.020483152894303202, 0.12488223890541121, 0.04812434210325591, 0.044285056879743934, -0.08212640112033114, -0.0810647344449535, 0.10390532980090939, 0.19839150729239918, -0.013416347886959556, 0.26672453139908614, -0.41693245952483265, -0.23759770597098395, 0.06794896227365825, 0.15670448881610355, 0.1700805054511875, -0.04294941830448806, -0.31170622587087565, -0.0006800515344366431, -0.13504451410844923, -0.1068776973115746, -0.0018881233292631805, -0.04611604951205663, -0.012294553883839399, -0.26859785137930886, 0.05343248665703868, 0.006982848409097642, 0.0378694124519825, 0.0014505186110909563, -0.001776093160151504, -0.044448817145894284, 0.06175519434036687, -0.013882387420744635, -0.03545765263261273, 0.1986195499659516, -0.17410111089702696, -0.07584018636262044, 0.39425126153510065, -0.12073329837476195, -0.11099514466477559, 0.12685801380575867, -0.1817655333201401, 0.05400494387722574, 0.21504276639898307, 0.17115099928923883, 0.1020776312390808, -0.10629478510236368, 0.010042342906672275, 0.006687861186219379, 0.2676054798590485, 0.06347442197366035, 0.17290574247017504, 0.2039604697842151, 0.21242097843205557, 0.04000781369541073, 0.1835743223549798, -0.11059598765568808, -0.08217879582662135, -0.2689238288112392, -0.13659613967538461, -0.20323894247412683, 0.05447129461099394, -0.0594165140626501, -0.09786648966837674, 0.43079787867027336, 0.11319844404933974, 0.11345965509535745, -0.03174258578219451, 0.35851163510233164, 0.15879219435737468, 0.07323165174748283, -0.02804125435068272, 0.387181058106944, 0.24085287852212786, 0.10462359063094481, -0.3111141266563209, 0.002555288019357249, -0.042465367916156536] |
707.3312 | SCUBA Mapping of Outer Galaxy Protostellar Candidates | We aim to study dust properties of massive star forming regions in the outer
Galaxy, in a direction opposite to the Galactic center. We present observations
of six outer Galaxy point sources IRAS 01045+6505, 01420+6401, 05271+3059,
05345+3556, 20222+3541 and 20406+4555, taken with the Submillimeter Common-User
Bolometer Array (SCUBA) on the James Clerk Maxwell Telescope (JCMT) at 450 and
850 micron. Single temperature greybody models are fitted to the Spectral
Energy Distribution of the detected sub-mm cores to derive dust temperature,
dust emissivity index and optical depth at 250 micron. The observed radial
intensity profiles of the sub-mm cores were fitted with power laws to derive
the indices describing the density distribution. At a resolution of 15" all six
IRAS point sources show multiple emission peaks. Only four out of fourteen
detected sub-mm cores show associated mid-infrared emission. For the sub-mm
cores we derive dust temperatures of 32+-5 K and dust emissivity indices
between 0.9 and 2.5. The density profiles of the sub-mm cores can be fitted by
a single power law distribution with indices -1.5+-0.3, with most cores showing
an index of -1.5. This is consistent with most observations of massive star
forming regions and supports predictions of models of star formation which
consider non-thermal support against gravitational collapse.
| astro-ph | we aim to study dust properties of massive star forming regions in the outer galaxy in a direction opposite to the galactic center we present observations of six outer galaxy point sources iras 010456505 014206401 052713059 053453556 202223541 and 204064555 taken with the submillimeter commonuser bolometer array scuba on the james clerk maxwell telescope jcmt at 450 and 850 micron single temperature greybody models are fitted to the spectral energy distribution of the detected submm cores to derive dust temperature dust emissivity index and optical depth at 250 micron the observed radial intensity profiles of the submm cores were fitted with power laws to derive the indices describing the density distribution at a resolution of 15 all six iras point sources show multiple emission peaks only four out of fourteen detected submm cores show associated midinfrared emission for the submm cores we derive dust temperatures of 325 k and dust emissivity indices between 09 and 25 the density profiles of the submm cores can be fitted by a single power law distribution with indices 1503 with most cores showing an index of 15 this is consistent with most observations of massive star forming regions and supports predictions of models of star formation which consider nonthermal support against gravitational collapse | [['we', 'aim', 'to', 'study', 'dust', 'properties', 'of', 'massive', 'star', 'forming', 'regions', 'in', 'the', 'outer', 'galaxy', 'in', 'a', 'direction', 'opposite', 'to', 'the', 'galactic', 'center', 'we', 'present', 'observations', 'of', 'six', 'outer', 'galaxy', 'point', 'sources', 'iras', '010456505', '014206401', '052713059', '053453556', '202223541', 'and', '204064555', 'taken', 'with', 'the', 'submillimeter', 'commonuser', 'bolometer', 'array', 'scuba', 'on', 'the', 'james', 'clerk', 'maxwell', 'telescope', 'jcmt', 'at', '450', 'and', '850', 'micron', 'single', 'temperature', 'greybody', 'models', 'are', 'fitted', 'to', 'the', 'spectral', 'energy', 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707.3313 | Supercuspidal characters of reductive p-adic groups | We compute the characters of many supercuspidal representations of reductive
p-adic groups. Specifically, we deal with representations that arise via Yu's
construction from data satisfying a certain compactness condition. Each
character is expressed in terms of a depth-zero character of a smaller group,
the (linear) characters appearing in Yu's construction, Fourier transforms of
orbital integrals, and certain signs and cardinalities that are described
explicitly in terms of the datum associated to the representation and of the
element at which the character is evaluated.
| math.RT | we compute the characters of many supercuspidal representations of reductive padic groups specifically we deal with representations that arise via yus construction from data satisfying a certain compactness condition each character is expressed in terms of a depthzero character of a smaller group the linear characters appearing in yus construction fourier transforms of orbital integrals and certain signs and cardinalities that are described explicitly in terms of the datum associated to the representation and of the element at which the character is evaluated | [['we', 'compute', 'the', 'characters', 'of', 'many', 'supercuspidal', 'representations', 'of', 'reductive', 'padic', 'groups', 'specifically', 'we', 'deal', 'with', 'representations', 'that', 'arise', 'via', 'yus', 'construction', 'from', 'data', 'satisfying', 'a', 'certain', 'compactness', 'condition', 'each', 'character', 'is', 'expressed', 'in', 'terms', 'of', 'a', 'depthzero', 'character', 'of', 'a', 'smaller', 'group', 'the', 'linear', 'characters', 'appearing', 'in', 'yus', 'construction', 'fourier', 'transforms', 'of', 'orbital', 'integrals', 'and', 'certain', 'signs', 'and', 'cardinalities', 'that', 'are', 'described', 'explicitly', 'in', 'terms', 'of', 'the', 'datum', 'associated', 'to', 'the', 'representation', 'and', 'of', 'the', 'element', 'at', 'which', 'the', 'character', 'is', 'evaluated']] | [-0.19947350587336773, 0.08764965079987073, -0.14192945234679494, 0.06377245396858149, -0.12944646615041308, -0.06062698317691684, -0.01577492443148989, 0.311929939314723, -0.33602754432842674, -0.20621042614466095, 0.10888816481484212, -0.2425081950713353, -0.15455040595976702, 0.21874624700566014, -0.1037509007132556, -0.03060723728982799, 0.0867415883533477, 0.13486809077033077, -0.13149720846664115, -0.2593155985877636, 0.404696242996009, -0.056925499183406315, 0.25185932357043744, -0.008752463789409902, 0.1279612226111545, 0.04077212737048471, -0.029642551868076784, -0.07149202022589295, -0.05747208003244357, 0.1911647683780932, 0.3372977680066623, 0.04990339750446469, 0.20440713581152214, -0.38735414704824067, -0.1305216515628924, 0.17300660217023758, 0.12095843096746199, 0.025395843945163112, -0.0023350537339427383, -0.31259938658226327, 0.12310904182538569, -0.1972463226551751, -0.11975002182782235, -0.11558336372689221, 0.026506494236997812, 0.02750207810292402, -0.2637070929407176, 0.0634710157334984, 0.09894019295741995, 0.13323816862406143, -0.12979567957711013, -0.12984655364921474, -0.01733131334746638, 0.11634627992780991, 0.04494915062741163, 0.0077370732141860635, 0.05460784565208547, -0.15240552820579475, -0.07906164713863126, 0.4057453343846712, -0.057444982854817736, -0.24879783443006945, 0.16555430338415036, -0.16484327019607448, -0.16359974334790675, 0.12516951136268586, 0.12304817026772771, 0.11024668103880642, -0.03422044924494014, 0.1457053234511236, -0.08597827011562255, 0.08820922451419194, 0.13897037988034897, 0.035183721564216425, 0.11843632850010531, 0.012739592770406281, -0.021569411209307564, 0.13900626296772206, 0.017622297741220254, -0.025876814359237988, -0.34841386174940203, -0.16823700233713262, -0.18025331034785114, 0.007238764157350433, -0.10418215513468512, -0.20420614919759872, 0.4523908016327993, 0.08263796537620835, 0.2069940249188747, 0.11975196251471762, 0.16217942214963665, 0.15779633517096558, 0.12120934575796127, 0.024054338213011443, 0.05128743135684495, 0.1790698337290122, -0.056180339486125004, -0.1762826080147895, 0.030828010130965387, 0.21391775655414325] |
707.3314 | Thermodynamic duality between RN black hole and 2D dilaton gravity | All thermodynamic quantities of the Reissner-Nordstr\"om (RN) black hole can
be obtained from the dilaton and its potential of two dimensional (2D) dilaton
gravity. The dual relations of four thermodynamic laws are also established.
Furthermore, the near-horizon thermodynamics of the extremal RN black hole is
completely described by the Jackiw-Teitelboim theory which is obtained by
perturbing around the AdS$_2$-horizon.
| gr-qc hep-th | all thermodynamic quantities of the reissnernordstrom rn black hole can be obtained from the dilaton and its potential of two dimensional 2d dilaton gravity the dual relations of four thermodynamic laws are also established furthermore the nearhorizon thermodynamics of the extremal rn black hole is completely described by the jackiwteitelboim theory which is obtained by perturbing around the ads_2horizon | [['all', 'thermodynamic', 'quantities', 'of', 'the', 'reissnernordstrom', 'rn', 'black', 'hole', 'can', 'be', 'obtained', 'from', 'the', 'dilaton', 'and', 'its', 'potential', 'of', 'two', 'dimensional', '2d', 'dilaton', 'gravity', 'the', 'dual', 'relations', 'of', 'four', 'thermodynamic', 'laws', 'are', 'also', 'established', 'furthermore', 'the', 'nearhorizon', 'thermodynamics', 'of', 'the', 'extremal', 'rn', 'black', 'hole', 'is', 'completely', 'described', 'by', 'the', 'jackiwteitelboim', 'theory', 'which', 'is', 'obtained', 'by', 'perturbing', 'around', 'the', 'ads_2horizon']] | [-0.14172709491585606, 0.1144637926642237, -0.049430224097109045, 0.09285189818735395, -0.029702302221016122, -0.19000550169208696, -0.028405227114301945, 0.21013549828082964, -0.21045570448040962, -0.2315428776281147, 0.10607488787379758, -0.3709770044440339, -0.13101191884950444, 0.18915485976071195, -0.05375800508170806, 0.09420921961708668, -0.10718683938190726, 0.08898023252600226, -0.14239475020239578, -0.25061205803448783, 0.4106994264293462, 0.03879238335929554, 0.2078562372340018, -0.0045672819853342815, 0.08994983580637851, -0.04151244553865801, 0.06005601658373429, 0.13788061059112178, -0.19234849738181922, 0.08735830320751872, 0.19992254142135638, 0.12500610093361345, 0.13425088943592434, -0.3849645518408767, -0.2755383425231638, 0.03058222149787792, 0.1508816761819742, 0.1045538667039464, -0.07655575821690004, -0.3088226610039971, 0.04301657546953908, -0.19445597964884906, -0.17731979291018998, -0.09678079001605511, 0.021955171921129883, -0.032473283049104545, -0.1946290699476055, 0.14058315397013413, 0.08772383736253812, -0.0856941646799959, -0.19120996550793343, -0.029281722269310004, -0.1634884667743383, 0.11162041138921833, 0.15205923434957092, 0.03965166908817302, 0.19431194256798462, -0.08833940675773694, -0.11223911909097485, 0.35707591176996456, -0.03227299734436233, -0.2286524337170453, 0.14655438400323278, -0.26878199632408034, -0.07478536098617418, 0.06929162282753608, 0.061724975673032215, 0.2239392086269398, -0.24373581284528661, 0.25595245888401, -0.019843007168925272, 0.11230041831731796, 0.1512641001348223, 0.06945225779480975, 0.4104378140563595, 0.0472423491100299, -0.035783581114534675, 0.19554145773672016, -0.009892235461879393, -0.1291786961273515, -0.35743632373111, -0.09902879486165556, -0.19532984698488345, 0.14523344610592928, -0.2684572934700429, -0.149365151084253, 0.2969683496409963, 0.06499715472856568, 0.13655102085964432, 0.009681577170026842, 0.19306229950924372, 0.12262648912467833, -0.0011214991019846037, 0.08707320720663872, 0.37670086221448307, 0.14753619050767658, 0.1254599274674045, -0.27438191445704935, -0.1256579801054864, 0.20992034153434738] |
707.3315 | Finite index subgroups of the modular group and their modular forms | Classically, congruence subgroups of the modular group, which can be
described by congruence relations, play important roles in group theory and
modular forms. In reality, the majority of finite index subgroups of the
modular group are noncongruence. These groups as well as their modular forms
are central players of this survey article. Differences between congruence and
noncongruence subgroups and modular forms will be discussed. We will mainly
focus on three interesting aspects of modular forms for noncongruence
subgroups: the unbounded denominator property, modularity of the Galois
representation arising from noncongruence cuspforms, and Atkin and
Swinnerton-Dyer congruences.
| math.NT | classically congruence subgroups of the modular group which can be described by congruence relations play important roles in group theory and modular forms in reality the majority of finite index subgroups of the modular group are noncongruence these groups as well as their modular forms are central players of this survey article differences between congruence and noncongruence subgroups and modular forms will be discussed we will mainly focus on three interesting aspects of modular forms for noncongruence subgroups the unbounded denominator property modularity of the galois representation arising from noncongruence cuspforms and atkin and swinnertondyer congruences | [['classically', 'congruence', 'subgroups', 'of', 'the', 'modular', 'group', 'which', 'can', 'be', 'described', 'by', 'congruence', 'relations', 'play', 'important', 'roles', 'in', 'group', 'theory', 'and', 'modular', 'forms', 'in', 'reality', 'the', 'majority', 'of', 'finite', 'index', 'subgroups', 'of', 'the', 'modular', 'group', 'are', 'noncongruence', 'these', 'groups', 'as', 'well', 'as', 'their', 'modular', 'forms', 'are', 'central', 'players', 'of', 'this', 'survey', 'article', 'differences', 'between', 'congruence', 'and', 'noncongruence', 'subgroups', 'and', 'modular', 'forms', 'will', 'be', 'discussed', 'we', 'will', 'mainly', 'focus', 'on', 'three', 'interesting', 'aspects', 'of', 'modular', 'forms', 'for', 'noncongruence', 'subgroups', 'the', 'unbounded', 'denominator', 'property', 'modularity', 'of', 'the', 'galois', 'representation', 'arising', 'from', 'noncongruence', 'cuspforms', 'and', 'atkin', 'and', 'swinnertondyer', 'congruences']] | [-0.2258798787612856, 0.13258454586806087, -0.1741973998262741, 0.14835260518763485, -0.14728568418043628, -0.10555983780068345, -0.022645984821186477, 0.3223496871457125, -0.37150890110448626, -0.2830220657342579, 0.1007334780903572, -0.29358358470684226, -0.19952857507693503, 0.24243009884958155, -0.09762013323779684, 0.0046647477041309076, 0.0025154687755275518, 0.09574954779236577, -0.0796196818118915, -0.3033588271937333, 0.46921731951200246, -0.020576613625356305, 0.24639204328802103, 0.00018604682190925814, -0.005240273961438409, 0.021493139930195564, -0.02422810699014614, -0.09021127065837693, -0.05617236301865584, 0.17532611853675917, 0.4092314386119445, 0.06072774648297733, 0.20605858124607343, -0.40147960756439716, -0.07740867594839074, 0.17993082751248343, 0.15392664187432578, -0.08756901156569559, -0.0477630459026841, -0.27271226621815003, 0.04991066560614854, -0.18915837359115054, -0.17641842951707076, -0.11854089188273065, 0.06360849036718719, 0.04342043522046879, -0.14044959130114876, 0.03147910373536433, 0.07273241768052685, 0.21980360389958756, -0.057366991054247286, -0.16012981527213319, 0.002624655736629696, 0.13720303456648253, 0.042781144841380105, -0.07499845928881162, 0.11391854577232152, -0.14989461795145567, -0.10223996034498366, 0.422051392418022, 0.04293015746710201, -0.15049025152499476, 0.14007433691585902, -0.16152859350647, -0.2843297877310154, 0.04064494725632054, 0.13117299130923735, 0.06603247786794479, -0.02788346224891332, 0.15668531604940958, -0.12062568308707948, 0.07665953966109858, 0.14417981004226021, -0.0032824082882143557, 0.14080359173143128, 0.010930044625032073, -0.031502322400532044, 0.14563121977213692, 0.11409614088915987, -0.005872730117213602, -0.3713353749772068, -0.2267275595368119, -0.033408674537592255, 0.06726055834860745, -0.1073168738747275, -0.1501351907621332, 0.42616714182076976, 0.024401916680896345, 0.08859606361026333, 0.10819897317196592, 0.12761800546286395, 0.06912599783633293, 0.13944529656388718, 0.03176800012261083, 0.10660527710570022, 0.22599059317387096, -0.12182348983575746, -0.12390895301117173, 0.0031861608319256143, 0.17181489753784263] |
707.3316 | Morita equivalences of cyclotomic Hecke algebras of type G(r,p,n) | We prove a Morita reduction theorem for the cyclotomic Hecke algebras
H_{r,p,n}({q,Q})$ of type G(r,p,n). As a consequence, we show that computing
the decomposition numbers of H_{r,p,n}(Q) reduces to computing the
p'-splittable decomposition numbers of the cyclotomic Hecke algebras
H_{r',p',n'}(Q'), where $1\le r'\le r$, $1\le n'\le n$, $ p'\mid p$ and where
the parameters Q' are contained in a single $(\epsilon,q)$-orbit and $\epsilon$
is a primitive p'th root of unity.
| math.RT math.CO math.GR math.QA math.RA | we prove a morita reduction theorem for the cyclotomic hecke algebras h_rpnqq of type grpn as a consequence we show that computing the decomposition numbers of h_rpnq reduces to computing the psplittable decomposition numbers of the cyclotomic hecke algebras h_rpnq where 1le rle r 1le nle n pmid p and where the parameters q are contained in a single epsilonqorbit and epsilon is a primitive pth root of unity | [['we', 'prove', 'a', 'morita', 'reduction', 'theorem', 'for', 'the', 'cyclotomic', 'hecke', 'algebras', 'h_rpnqq', 'of', 'type', 'grpn', 'as', 'a', 'consequence', 'we', 'show', 'that', 'computing', 'the', 'decomposition', 'numbers', 'of', 'h_rpnq', 'reduces', 'to', 'computing', 'the', 'psplittable', 'decomposition', 'numbers', 'of', 'the', 'cyclotomic', 'hecke', 'algebras', 'h_rpnq', 'where', '1le', 'rle', 'r', '1le', 'nle', 'n', 'pmid', 'p', 'and', 'where', 'the', 'parameters', 'q', 'are', 'contained', 'in', 'a', 'single', 'epsilonqorbit', 'and', 'epsilon', 'is', 'a', 'primitive', 'pth', 'root', 'of', 'unity']] | [-0.26338439859682694, 0.10683472554956097, -0.051428862403554376, 0.033037492577932426, -0.056701110559515655, -0.20105660587432794, -0.017826727431383915, 0.23512161907274276, -0.3871138953254558, -0.19167549317353405, 0.0724039080869261, -0.26892972565838136, -0.1123227331590897, 0.19453986407461343, -0.11651275373878889, -0.023380137907224707, 0.04307229651021771, 0.17330190984648652, -0.09511194747392437, -0.28873051892151125, 0.32945976810879074, -0.07049792605539551, 0.17616613444988616, -0.005974019346467685, 0.0567203096288722, 0.045958434864587616, 0.05735887921764515, -0.08776710310485214, -0.18656779514697064, 0.13003967848271714, 0.3362712175003253, 0.10862550195815857, 0.280659971283967, -0.30281032097991556, -0.04165717962314375, 0.24557667816407047, 0.2630549688692554, -0.03608136469847523, 0.003102550184848951, -0.14461725996807218, 0.17697141953976825, -0.21277816126530524, -0.14942508044623537, -0.06048292329069227, 0.14467168523697183, 0.045897755472651625, -0.40288626099936664, 0.03481432033004239, 0.12922544236062095, 0.18463407337549143, -0.07452442008434446, -0.2323994971375214, -0.016093585960334167, 0.044743225633283146, -0.09651544537700829, -0.01254494168824749, 0.09038375107047614, -0.08007202316366602, -0.12576398387318477, 0.3713416974642314, 0.005745659291278571, -0.17495459216297604, 0.03245781179793994, -0.20731989490741398, -0.1951793719708803, 0.08267726708436385, 0.033560965668584686, 0.1651028647174826, 0.08746904766303487, 0.24834423418906226, -0.11374946558999, 0.0802357857755851, 0.16907740572787588, -0.024378137131861877, 0.0662796806282131, 0.01599141041515395, 0.03261048007698264, 0.14822582813212648, -0.020905465818941593, 0.04726876931817969, -0.3843765358906239, -0.2554960258312349, -0.2149602302160929, 0.14656738843768835, -0.19726660210972113, -0.1795471899677068, 0.29351239108655136, 0.09957497503637569, 0.16509534685974359, 0.17477922052785289, 0.19426324230153114, 0.10767336313256237, 0.1317176757584093, 0.06070259861735394, 0.050709187460597605, 0.28138345721527, -0.038769861494074576, -0.13609925317723537, -0.08437456437968649, 0.2610652653456782] |
707.3317 | Logarithmic corrections and universal amplitude ratios in the 4-state
Potts model | Monte Carlo and series expansion data for the energy, specific heat,
magnetisation and susceptibility of the 4-state Potts model in the vicinity of
the critical point are analysed. The role of logarithmic corrections is
discussed. Estimates of universal ratios A_+/A_-, $\Gamma_+/\Gamma_L$,
$\Gamma_T/\Gamma_L$ and R_c^+ are given.
| cond-mat.stat-mech hep-lat | monte carlo and series expansion data for the energy specific heat magnetisation and susceptibility of the 4state potts model in the vicinity of the critical point are analysed the role of logarithmic corrections is discussed estimates of universal ratios a_a_ gamma_gamma_l gamma_tgamma_l and r_c are given | [['monte', 'carlo', 'and', 'series', 'expansion', 'data', 'for', 'the', 'energy', 'specific', 'heat', 'magnetisation', 'and', 'susceptibility', 'of', 'the', '4state', 'potts', 'model', 'in', 'the', 'vicinity', 'of', 'the', 'critical', 'point', 'are', 'analysed', 'the', 'role', 'of', 'logarithmic', 'corrections', 'is', 'discussed', 'estimates', 'of', 'universal', 'ratios', 'a_a_', 'gamma_gamma_l', 'gamma_tgamma_l', 'and', 'r_c', 'are', 'given']] | [-0.13632631382312288, 0.12145915957675739, -0.02347556221171875, 0.10934108281137676, -0.0013691163621842861, -0.12195270377295939, 0.06678857280018168, 0.32521443212912843, -0.22213798755017872, -0.2693356723863293, 0.11739616882087747, -0.37049779590134596, -0.06249747157033363, 0.22261848218410954, 0.08225538899106058, 0.11964950704185123, -0.019660334822467783, 0.06100738186135211, -0.11581959052339451, -0.19665199687535112, 0.2949746325440091, 0.11061336527663199, 0.27143085191280325, 0.09369275587695566, 0.03402701443833807, -0.002716480051855218, -0.004673970746807754, -2.8567378070544113e-05, -0.24361653736030514, 0.029966032174839216, 0.20023069137030028, -0.013820502018048004, 0.17166114022785967, -0.3434122902849181, -0.1994946909941394, 0.10229975187262012, 0.14897264044901187, 0.07924736302811652, -0.005780370546166192, -0.20756264219314538, 0.045593855288726365, -0.13601175699891013, -0.14103823760524392, -0.11122841455719688, -0.0052939871410754595, 0.08899120523446155, -0.2978126244111495, 0.19429562221789223, 0.017751354660669513, 0.1011678467250683, -0.049574935152618724, -0.1615895582998002, -0.07922694062687118, 0.12889475039926104, 0.04510051416317848, 0.057440798401578584, 0.17567731876095588, -0.15927340650126676, -0.11281828584403476, 0.31936342669227585, -0.022505015261809935, -0.1290381654557264, 0.08246650673523122, -0.201748852385208, -0.1574857494031841, 0.12195529487640173, 0.12573746473803607, 0.09960362053772603, -0.1581976893569597, 0.13773424220297867, 0.053622244984250174, 0.10286156688512578, -0.011563410749658942, -0.02336387496060607, 0.20195331623439083, 0.15001796444200657, -0.08640668224754998, 0.19828414214266973, -0.14170806540641934, -0.22602691916240888, -0.3521119464580393, -0.14742213966515424, -0.2174116442911327, 0.014298703563822941, -0.21580364283032727, -0.1986103594747626, 0.32932417321188207, 0.169257437911173, 0.19175876092843033, 0.03984438640658151, 0.21159856615122408, 0.19665423958477649, 0.03254899582613937, 0.12155149145771495, 0.20304504340906118, 0.15311521308665926, 0.12612678070383315, -0.28572436507833615, 0.053560422183099116, 0.10816698531429707] |
707.3318 | Black hole evaporation in a spherically symmetric non-commutative
space-time | Recent work in the literature has studied the quantum-mechanical decay of a
Schwarzschild-like black hole, formed by gravitational collapse, into
almost-flat space-time and weak radiation at a very late time. The relevant
quantum amplitudes have been evaluated for bosonic and fermionic fields,
showing that no information is lost in collapse to a black hole. On the other
hand, recent developments in noncommutative geometry have shown that, in
general relativity, the effects of non-commutativity can be taken into account
by keeping the standard form of the Einstein tensor on the left-hand side of
the field equations and introducing a modified energy-momentum tensor as a
source on the right-hand side. Relying on the recently obtained
non-commutativity effect on a static, spherically symmetric metric, we have
considered from a new perspective the quantum amplitudes in black hole
evaporation. The general relativity analysis of spin-2 amplitudes has been
shown to be modified by a multiplicative factor F depending on a constant
non-commutativity parameter and on the upper limit R of the radial coordinate.
Limiting forms of F have been derived which are compatible with the adiabatic
approximation.
| gr-qc | recent work in the literature has studied the quantummechanical decay of a schwarzschildlike black hole formed by gravitational collapse into almostflat spacetime and weak radiation at a very late time the relevant quantum amplitudes have been evaluated for bosonic and fermionic fields showing that no information is lost in collapse to a black hole on the other hand recent developments in noncommutative geometry have shown that in general relativity the effects of noncommutativity can be taken into account by keeping the standard form of the einstein tensor on the lefthand side of the field equations and introducing a modified energymomentum tensor as a source on the righthand side relying on the recently obtained noncommutativity effect on a static spherically symmetric metric we have considered from a new perspective the quantum amplitudes in black hole evaporation the general relativity analysis of spin2 amplitudes has been shown to be modified by a multiplicative factor f depending on a constant noncommutativity parameter and on the upper limit r of the radial coordinate limiting forms of f have been derived which are compatible with the adiabatic approximation | [['recent', 'work', 'in', 'the', 'literature', 'has', 'studied', 'the', 'quantummechanical', 'decay', 'of', 'a', 'schwarzschildlike', 'black', 'hole', 'formed', 'by', 'gravitational', 'collapse', 'into', 'almostflat', 'spacetime', 'and', 'weak', 'radiation', 'at', 'a', 'very', 'late', 'time', 'the', 'relevant', 'quantum', 'amplitudes', 'have', 'been', 'evaluated', 'for', 'bosonic', 'and', 'fermionic', 'fields', 'showing', 'that', 'no', 'information', 'is', 'lost', 'in', 'collapse', 'to', 'a', 'black', 'hole', 'on', 'the', 'other', 'hand', 'recent', 'developments', 'in', 'noncommutative', 'geometry', 'have', 'shown', 'that', 'in', 'general', 'relativity', 'the', 'effects', 'of', 'noncommutativity', 'can', 'be', 'taken', 'into', 'account', 'by', 'keeping', 'the', 'standard', 'form', 'of', 'the', 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707.3319 | Discovering Relic Gravitational Waves in Cosmic Microwave Background
Radiation | The authority of J. A. Wheeler in many areas of gravitational physics is
immense, and there is a connection with the study of relic gravitational waves
as well. I begin with a brief description of Wheeler's influence on this study.
One part of the paper is essentially a detailed justification of the very
existence of relic gravitational waves, account of their properties related to
the quantum-mechanical origin, derivation of the expected magnitude of their
effects, and reasoning why they should be detectable in the relatively near
future. This line of argument includes the comparison of relic gravitational
waves with density perturbations of quantum-mechanical origin, and the severe
criticism of methods and predictions of inflationary theory. Another part of
the paper is devoted to active searches for relic gravitational waves in cosmic
microwave background radiation (CMB). Here, the emphasis is on the
temperature-polarization TE cross-correlation function of CMB. The expected
numerical level of the correlation, its sign, statistics, and the most
appropriate interval of angular scales are identified. Other correlation
functions are also considered. The overall conclusion is such that the
observational discovery of relic gravitational waves looks like the matter of a
few coming years, rather than a few decades.
| gr-qc astro-ph hep-ph hep-th | the authority of j a wheeler in many areas of gravitational physics is immense and there is a connection with the study of relic gravitational waves as well i begin with a brief description of wheelers influence on this study one part of the paper is essentially a detailed justification of the very existence of relic gravitational waves account of their properties related to the quantummechanical origin derivation of the expected magnitude of their effects and reasoning why they should be detectable in the relatively near future this line of argument includes the comparison of relic gravitational waves with density perturbations of quantummechanical origin and the severe criticism of methods and predictions of inflationary theory another part of the paper is devoted to active searches for relic gravitational waves in cosmic microwave background radiation cmb here the emphasis is on the temperaturepolarization te crosscorrelation function of cmb the expected numerical level of the correlation its sign statistics and the most appropriate interval of angular scales are identified other correlation functions are also considered the overall conclusion is such that the observational discovery of relic gravitational waves looks like the matter of a few coming years rather than a few decades | [['the', 'authority', 'of', 'j', 'a', 'wheeler', 'in', 'many', 'areas', 'of', 'gravitational', 'physics', 'is', 'immense', 'and', 'there', 'is', 'a', 'connection', 'with', 'the', 'study', 'of', 'relic', 'gravitational', 'waves', 'as', 'well', 'i', 'begin', 'with', 'a', 'brief', 'description', 'of', 'wheelers', 'influence', 'on', 'this', 'study', 'one', 'part', 'of', 'the', 'paper', 'is', 'essentially', 'a', 'detailed', 'justification', 'of', 'the', 'very', 'existence', 'of', 'relic', 'gravitational', 'waves', 'account', 'of', 'their', 'properties', 'related', 'to', 'the', 'quantummechanical', 'origin', 'derivation', 'of', 'the', 'expected', 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707.332 | Discontinuity in the specific heat of a weakly interacting Bose gas | We produce the discontinuity in the specific heat of a homogeneous, dilute,
and weakly interacting Bose gas in a short-wavelength range with a simple
statistical method. The magnitude of the discontinuity at the phase transition
temperature is obtained as a function of the density and scattering length of
the Bose particles.
| cond-mat.stat-mech | we produce the discontinuity in the specific heat of a homogeneous dilute and weakly interacting bose gas in a shortwavelength range with a simple statistical method the magnitude of the discontinuity at the phase transition temperature is obtained as a function of the density and scattering length of the bose particles | [['we', 'produce', 'the', 'discontinuity', 'in', 'the', 'specific', 'heat', 'of', 'a', 'homogeneous', 'dilute', 'and', 'weakly', 'interacting', 'bose', 'gas', 'in', 'a', 'shortwavelength', 'range', 'with', 'a', 'simple', 'statistical', 'method', 'the', 'magnitude', 'of', 'the', 'discontinuity', 'at', 'the', 'phase', 'transition', 'temperature', 'is', 'obtained', 'as', 'a', 'function', 'of', 'the', 'density', 'and', 'scattering', 'length', 'of', 'the', 'bose', 'particles']] | [-0.12827678244930746, 0.21574195286295578, -0.08442010687591106, 0.006729032399187631, 0.018341162771570916, -0.07622071099924106, 0.04186424744479796, 0.3287087123768002, -0.23660811080652125, -0.24123390131018252, 0.03222174076454751, -0.32207081578306707, -0.0508481303467324, 0.1581703818531013, 0.09510197424713303, 0.050197287553957866, -0.030110421471809055, 0.06221750678092826, -0.13196504267626533, -0.1893277524733076, 0.34114074384720594, 0.04517744251472108, 0.2702911449048449, 0.08493696151337787, 0.10943105746535402, 0.0004346132661928149, 0.05361126233622724, 0.04735433847150382, -0.16615134525551079, 0.02075718619002431, 0.21804819469723632, -0.038281738538952434, 0.21821710591514906, -0.37877142184651363, -0.2677980078128623, 0.08580236115456358, 0.12307991189699546, 0.11478830830139272, -0.05929779349232787, -0.2588522302023336, -0.05494684868437402, -0.16120924252797575, -0.1967717077783948, -0.023947198957423952, 0.006220320586626436, 0.07475105020235859, -0.27383680475473987, 0.18950900906587348, 0.07903220634177036, 0.06092550008393386, -0.05106973679115375, -0.03888085338414884, 0.012754808773524036, 0.055693613958782424, -0.020448733454424085, 0.051373699177787, 0.1765013280982042, -0.1969434625067401, 0.027661405211570216, 0.39093389062612666, -0.16286392535503005, -0.13412015304407654, 0.2553492902832873, -0.20005223358634347, -0.049817560551067196, 0.2310491641435553, 0.1400914248444286, 0.1184519569791269, -0.14945059684196524, 0.0646519926171202, -0.06056656900510265, 0.1552713611984954, 0.046931722986639716, 0.006609581748717556, 0.2767503726862225, 0.20070564186237022, 0.028485070000968726, 0.19409530704804495, -0.12728614473313676, -0.08049095046761282, -0.2928410367857592, -0.17918901216677008, -0.23139041676825167, 0.005773968099817342, -0.11781533005791169, -0.251522130643328, 0.37786219389561343, 0.1383559201965588, 0.2248797981324149, 0.021951558958629474, 0.2920318621429889, 0.1879884138607475, 0.014474038509469406, 0.053170342176385665, 0.2306326750264156, 0.15575155215657444, 0.09859721008322987, -0.2672622700988808, -0.004002016320751578, 0.06452058471611463] |
707.3321 | Multi-scale correlations in different futures markets | In the present work we investigate the multiscale nature of the correlations
for high frequency data (1 minute) in different futures markets over a period
of two years, starting on the 1st of January 2003 and ending on the 31st of
December 2004. In particular, by using the concept of "local" Hurst exponent,
we point out how the behaviour of this parameter, usually considered as a
benchmark for persistency/antipersistency recognition in time series, is
largely time-scale dependent in the market context. These findings are a direct
consequence of the intrinsic complexity of a system where trading strategies
are scale-adaptive. Moreover, our analysis points out different regimes in the
dynamical behaviour of the market indices under consideration.
| q-fin.ST physics.comp-ph physics.data-an physics.soc-ph | in the present work we investigate the multiscale nature of the correlations for high frequency data 1 minute in different futures markets over a period of two years starting on the 1st of january 2003 and ending on the 31st of december 2004 in particular by using the concept of local hurst exponent we point out how the behaviour of this parameter usually considered as a benchmark for persistencyantipersistency recognition in time series is largely timescale dependent in the market context these findings are a direct consequence of the intrinsic complexity of a system where trading strategies are scaleadaptive moreover our analysis points out different regimes in the dynamical behaviour of the market indices under consideration | [['in', 'the', 'present', 'work', 'we', 'investigate', 'the', 'multiscale', 'nature', 'of', 'the', 'correlations', 'for', 'high', 'frequency', 'data', '1', 'minute', 'in', 'different', 'futures', 'markets', 'over', 'a', 'period', 'of', 'two', 'years', 'starting', 'on', 'the', '1st', 'of', 'january', '2003', 'and', 'ending', 'on', 'the', '31st', 'of', 'december', '2004', 'in', 'particular', 'by', 'using', 'the', 'concept', 'of', 'local', 'hurst', 'exponent', 'we', 'point', 'out', 'how', 'the', 'behaviour', 'of', 'this', 'parameter', 'usually', 'considered', 'as', 'a', 'benchmark', 'for', 'persistencyantipersistency', 'recognition', 'in', 'time', 'series', 'is', 'largely', 'timescale', 'dependent', 'in', 'the', 'market', 'context', 'these', 'findings', 'are', 'a', 'direct', 'consequence', 'of', 'the', 'intrinsic', 'complexity', 'of', 'a', 'system', 'where', 'trading', 'strategies', 'are', 'scaleadaptive', 'moreover', 'our', 'analysis', 'points', 'out', 'different', 'regimes', 'in', 'the', 'dynamical', 'behaviour', 'of', 'the', 'market', 'indices', 'under', 'consideration']] | [-0.1309725508670849, 0.09754909521535687, -0.1352927153788345, 0.047588706162312755, -0.013891074715850308, -0.06897375585976988, 0.09390483384182596, 0.36164294921833534, -0.2511199848604915, -0.3019265254311588, 0.16060666467579407, -0.2698423847614322, -0.1546868300875244, 0.2255014771752505, -0.06982970503361328, 0.020713197747650354, 0.04290967844730324, -0.008140002565620386, -0.022742728309948806, -0.2734909547249908, 0.3081159586653761, 0.05960840478478729, 0.29090402848694635, 0.005700698672571098, 0.08362241446182293, -0.01478848381008467, -0.08394363080277918, -0.0045418576134935666, -0.14587591190660454, 0.08474150536197197, 0.23919111739479654, 0.06636017951506959, 0.3099894201585456, -0.4123880738959364, -0.18731890038141738, 0.07802145450639174, 0.0731541076179027, 0.02140128157182556, 0.03413752131568997, -0.27290679701077547, 0.036317664526564916, -0.18662925283222095, -0.0896485390668006, -0.04815940024614658, 0.09179970562539023, 0.018251323672112726, -0.2427063028773536, 0.09473415802324028, 0.05689966684971612, 0.124007856886348, -0.06679817576204305, -0.08221511296907683, 0.0010982703336555025, 0.1593126469570131, 0.10414115193340441, -0.0494023576480053, 0.09359450083549904, -0.10508406653635852, -0.17777646315162596, 0.36153707944828534, -0.06478417127939833, -0.1128566836796539, 0.1795130797702333, -0.1589180477651889, -0.17125343205812185, 0.1057938418391606, 0.21495019112025265, 0.10131987481499495, -0.1515560065952899, 0.07767282763202472, -0.03846818881575018, 0.18702709277732418, 0.0746029523646702, 0.0019441937541832095, 0.19090319486415905, 0.1937736248658241, 0.046015170716640096, 0.12148993230708267, -0.12279696687246146, -0.15667788142986272, -0.29769013067302497, -0.12108579461017381, -0.1719914157429467, 0.04250235676097319, -0.12209550435313166, -0.12229742999593525, 0.44633068851316754, 0.1521354195135443, 0.1917781932198483, 0.019237844694567765, 0.228908669312849, 0.10924899287157408, -0.026195542162420916, 0.05424385037597107, 0.25793655423913153, 0.003742945083902906, 0.17316734666794376, -0.17569601992752565, 0.06920662014542714, 0.0482928351458648] |
707.3322 | Cu-spin dynamics in the overdoped regime of La_2-x_Sr_x_Cu_1-y_Zn_y_O_4_
probed by muon spin relaxation | Muon-spin-relaxation measurements have been performed for the partially
Zn-substituted La_2-x_Sr_x_Cu_1-y_Zn_y_O_4_ with y=0-0.10 in the overdoped
regime up to x=0.30. In the 3 % Zn-substituted samples up to x=0.27,
exponential-like depolarization of muon spins has been observed at low
temperatures, indicating Zn-induced slowing-down of the Cu-spin fluctuations.
The depolarization rate decreases with increasing x and almost no fast
depolarization of muon spins has been observed for x=0.30 where
superconductivity disappears. The present results suggest that the dynamical
stripe correlations exist in the whole superconducting regime of
La_2-x_Sr_x_CuO_4_ and that there is no quantum critical point at x~0.19.
| cond-mat.supr-con cond-mat.str-el | muonspinrelaxation measurements have been performed for the partially znsubstituted la_2x_sr_x_cu_1y_zn_y_o_4_ with y0010 in the overdoped regime up to x030 in the 3 znsubstituted samples up to x027 exponentiallike depolarization of muon spins has been observed at low temperatures indicating zninduced slowingdown of the cuspin fluctuations the depolarization rate decreases with increasing x and almost no fast depolarization of muon spins has been observed for x030 where superconductivity disappears the present results suggest that the dynamical stripe correlations exist in the whole superconducting regime of la_2x_sr_x_cuo_4_ and that there is no quantum critical point at x019 | [['muonspinrelaxation', 'measurements', 'have', 'been', 'performed', 'for', 'the', 'partially', 'znsubstituted', 'la_2x_sr_x_cu_1y_zn_y_o_4_', 'with', 'y0010', 'in', 'the', 'overdoped', 'regime', 'up', 'to', 'x030', 'in', 'the', '3', 'znsubstituted', 'samples', 'up', 'to', 'x027', 'exponentiallike', 'depolarization', 'of', 'muon', 'spins', 'has', 'been', 'observed', 'at', 'low', 'temperatures', 'indicating', 'zninduced', 'slowingdown', 'of', 'the', 'cuspin', 'fluctuations', 'the', 'depolarization', 'rate', 'decreases', 'with', 'increasing', 'x', 'and', 'almost', 'no', 'fast', 'depolarization', 'of', 'muon', 'spins', 'has', 'been', 'observed', 'for', 'x030', 'where', 'superconductivity', 'disappears', 'the', 'present', 'results', 'suggest', 'that', 'the', 'dynamical', 'stripe', 'correlations', 'exist', 'in', 'the', 'whole', 'superconducting', 'regime', 'of', 'la_2x_sr_x_cuo_4_', 'and', 'that', 'there', 'is', 'no', 'quantum', 'critical', 'point', 'at', 'x019']] | [-0.1418453440520629, 0.2613986175679399, -0.02099177086695462, 0.03150804271622885, 0.031739876984236456, -0.1429650000177587, 0.07297570815654067, 0.38583974908713414, -0.18397743214407694, -0.2719940761225703, 0.04383663392914257, -0.38521901021063654, -0.011201174291984542, 0.19885466357126183, 0.06572878913214916, 0.028530750967784905, -0.06725843360080667, 0.0008588687272529806, -0.12243369512599082, -0.23038657583579744, 0.23573969887871973, 0.03689162921965244, 0.312963886257342, 0.09594150868487424, 0.11927210511740945, -0.040598930512635925, 0.10153835939000481, 0.02268736682321026, -0.13100610235177673, -0.060061732795514654, 0.31156814055841253, -0.044517374858158924, 0.19105287766306783, -0.3922285866751538, -0.2265621768310666, 0.07647584742896826, 0.17407065984266606, 0.1264346055281551, -0.10252381791360676, -0.2344698733650148, 0.1092761403586179, -0.10229958593845367, -0.11624197408799893, -0.06255515117980236, 0.033919899127162666, -0.03627902908129212, -0.23163643161482786, 0.1572395845964227, 0.08350464203945392, 0.13948310870910063, -0.05406214770577524, -0.1332546993077773, -0.0341081254882738, 0.07079927740699571, 0.10466759582303221, 0.14702878958221688, 0.1188083203792896, -0.10075906295906348, -0.11675130335472363, 0.26348070984544314, -0.029640714359550697, -0.03084507576473381, 0.1707628803332741, -0.29468192720188474, -0.13223462170192404, 0.24838397631664638, 0.09750961745126203, 0.05487935420166215, -0.10727589930731642, 0.08248132592448003, -0.01736731940890541, 0.20815528230899794, 0.04241311418540452, 0.058764077147276585, 0.22524155919065536, 0.207452358920937, 0.036849695361604026, 0.11485960981656756, -0.1805798470488061, -0.05609312272914078, -0.18420268323920344, -0.11020175536649059, -0.15971358036926098, 0.08776864573187397, -0.049032004494106135, -0.11197758665429833, 0.3096155313491497, 0.1354906204632362, 0.20309791094421045, -0.041530894520490066, 0.2071648695020248, 0.11180176649561516, 0.11632743770125038, 0.10093896611310217, 0.30395852782480093, 0.16546222788241247, 0.14070351438536105, -0.3072849726804239, 0.12298646234684503, -0.081273962801788] |
707.3323 | On the statistics of the minimal solution of a linear Diophantine
equation and uniform distribution of the real part of orbits in hyperbolic
spaces | We study a variant of a problem considered by Dinaburg and Sinai on the
statistics of the minimal solution to a linear Diophantine equation. We show
that the signed ratio between the Euclidean norms of the minimal solution and
the coefficient vector is uniformly distributed modulo one. We reduce the
problem to an equidistribution theorem of Anton Good concerning the orbits of a
point in the upper half-plane under the action of a Fuchsian group.
| math.NT | we study a variant of a problem considered by dinaburg and sinai on the statistics of the minimal solution to a linear diophantine equation we show that the signed ratio between the euclidean norms of the minimal solution and the coefficient vector is uniformly distributed modulo one we reduce the problem to an equidistribution theorem of anton good concerning the orbits of a point in the upper halfplane under the action of a fuchsian group | [['we', 'study', 'a', 'variant', 'of', 'a', 'problem', 'considered', 'by', 'dinaburg', 'and', 'sinai', 'on', 'the', 'statistics', 'of', 'the', 'minimal', 'solution', 'to', 'a', 'linear', 'diophantine', 'equation', 'we', 'show', 'that', 'the', 'signed', 'ratio', 'between', 'the', 'euclidean', 'norms', 'of', 'the', 'minimal', 'solution', 'and', 'the', 'coefficient', 'vector', 'is', 'uniformly', 'distributed', 'modulo', 'one', 'we', 'reduce', 'the', 'problem', 'to', 'an', 'equidistribution', 'theorem', 'of', 'anton', 'good', 'concerning', 'the', 'orbits', 'of', 'a', 'point', 'in', 'the', 'upper', 'halfplane', 'under', 'the', 'action', 'of', 'a', 'fuchsian', 'group']] | [-0.1985768620050638, 0.037413962973742686, -0.11064325532297024, 0.050865427107940356, -0.05436409975880304, -0.0833877675877129, 0.0812324593850487, 0.27274593489395604, -0.31916448481481624, -0.21787502986655846, 0.12425494859328594, -0.31007188452860796, -0.15989079101426476, 0.20741482126224484, -0.12124367846125686, 0.10165049316915306, 0.04544844789701086, 0.10021770440476216, -0.06983630036670915, -0.2579173144154452, 0.35008468748403815, 0.006510979376380911, 0.24284860333176078, 0.05963577152264456, 0.14898807342113876, 0.03112060494871961, -0.001305182313395513, -0.006615738143729097, -0.15441121857951953, 0.1381058480835998, 0.19616141766813155, 0.08029948745073902, 0.2792379704517992, -0.375713965402463, -0.14178144006134086, 0.1753806176884855, 0.10108733678085578, 0.041172584254496, -0.04552819863798701, -0.2742792239311982, 0.12442114237519736, -0.10359421800318602, -0.18556847507008226, 0.006094792505373826, 0.021878606019969528, 0.03386742014727379, -0.2706078369094915, 0.05557721868988026, 0.12742742291978887, 0.06908438365074265, -0.10524692054133157, -0.06940246933467083, 0.04617737485347567, 0.08600537343001044, 0.08101969790279966, 0.0352257511899429, 0.053261335045602674, -0.10429894800826504, -0.09716987448769647, 0.40169411278455647, -0.10754244690257553, -0.2919392823115797, 0.1112368666642421, -0.13847415450633177, -0.13062009942557387, 0.08176950257070162, 0.18989014439914073, 0.15373627067468054, -0.10101119466629382, 0.15474524046766344, -0.16448502654109048, 0.13952027062603864, 0.09946783338799267, -0.045222748700227286, 0.11431336425546859, 0.09515291408358796, 0.1457640320201077, 0.1697363314986531, -0.020340613696749346, -0.09721950479355213, -0.3084506140644285, -0.1763374661913494, -0.17600164383278555, 0.07720010630736077, -0.1530765788877427, -0.20140956485537007, 0.3799104332621839, 0.09029552030276407, 0.20119978052035375, 0.11141061026451958, 0.2192326686093332, 0.14623696547051943, 0.006929620181688586, 0.08513864684170364, 0.17446482039648234, 0.17921438870787923, 0.021318966787107086, -0.22371355226779407, -0.011556771030095784, 0.20012349932379014] |
707.3324 | Absence of Hybridization Gap in Heavy Electron Systems and Analysis of
YbAl3 in terms of Nearly Free Electron Conduction Band | In the analysis of the heavy electron systems, theoretical models with c-f
hybridization gap are often used. We point out that such a gap does not exist
and the simple picture with the hybridization gap is misleading in the metallic
systems, and present a correct picture by explicitly constructing an effective
band model of YbAl_3. Hamiltonian consists of a nearly free electron model for
conduction bands which hybridize with localized f-electrons, and includes only
a few parameters. Density of states, Sommerfeld coefficient, f-electron number
and optical conductivity are calculated and compared with the band calculations
and the experiments.
| cond-mat.str-el | in the analysis of the heavy electron systems theoretical models with cf hybridization gap are often used we point out that such a gap does not exist and the simple picture with the hybridization gap is misleading in the metallic systems and present a correct picture by explicitly constructing an effective band model of ybal_3 hamiltonian consists of a nearly free electron model for conduction bands which hybridize with localized felectrons and includes only a few parameters density of states sommerfeld coefficient felectron number and optical conductivity are calculated and compared with the band calculations and the experiments | [['in', 'the', 'analysis', 'of', 'the', 'heavy', 'electron', 'systems', 'theoretical', 'models', 'with', 'cf', 'hybridization', 'gap', 'are', 'often', 'used', 'we', 'point', 'out', 'that', 'such', 'a', 'gap', 'does', 'not', 'exist', 'and', 'the', 'simple', 'picture', 'with', 'the', 'hybridization', 'gap', 'is', 'misleading', 'in', 'the', 'metallic', 'systems', 'and', 'present', 'a', 'correct', 'picture', 'by', 'explicitly', 'constructing', 'an', 'effective', 'band', 'model', 'of', 'ybal_3', 'hamiltonian', 'consists', 'of', 'a', 'nearly', 'free', 'electron', 'model', 'for', 'conduction', 'bands', 'which', 'hybridize', 'with', 'localized', 'felectrons', 'and', 'includes', 'only', 'a', 'few', 'parameters', 'density', 'of', 'states', 'sommerfeld', 'coefficient', 'felectron', 'number', 'and', 'optical', 'conductivity', 'are', 'calculated', 'and', 'compared', 'with', 'the', 'band', 'calculations', 'and', 'the', 'experiments']] | [-0.1328127774581009, 0.14959077821817007, -0.030017250241255577, 0.0711365318821496, -0.0035121569538260904, -0.18002318744832763, 0.11256846529669223, 0.37755873438198956, -0.2324030438381038, -0.32625400064018917, -0.004308131630342378, -0.3530403468757868, -0.13301592345862667, 0.16331084838317594, 0.034729854788213055, 0.02118168446944839, 0.07493723053437638, -0.041396723252398016, -0.11206979175782478, -0.1607005489332012, 0.3025473862297225, 0.05717950056744169, 0.26838760405816897, 0.10770626325036722, -0.006121242551931313, 0.03915503306423637, 0.051035528137747734, 0.039156968938186765, -0.10448426476907524, 0.10620812060161759, 0.2554411163513281, -0.05797129888467643, 0.22696746442923132, -0.42570229514254904, -0.23969530420643942, -0.008279425272604033, 0.14518377121195805, 0.14129630374907498, -0.04016119365257268, -0.2282657783849127, 0.017566327713619993, -0.17883610617065307, -0.11227839527062464, -0.11476754315069174, -0.02794744384627105, -0.028622881841978857, -0.2647565463177708, 0.12262781121267946, 0.042429182322087644, 0.053057841198059744, -0.105594969259537, -0.1653518073773962, -0.0843359923550897, 0.06170227927897049, 0.03608853619887817, 0.0036144567111849176, 0.10132536232205373, -0.10875615201016166, -0.07884889103683682, 0.4046987005205331, -0.06042455030576687, -0.1440388541003423, 0.22111360309883116, -0.12223622139913923, -0.05239169851743749, 0.17443874254062466, 0.0868388753650444, 0.07403277927933603, -0.13242120995383463, 0.10896952391473805, -0.04769427434194415, 0.1873675711653124, -0.012262061044065358, 0.07026067764821406, 0.2482853073018546, 0.1605712204354302, 0.027647077519332573, 0.045546908622930704, -0.10270738105731542, -0.06613012847528622, -0.2671490085539313, -0.14209509402399464, -0.23966405007094904, 0.011995088160709164, -0.03256128093955934, -0.21276024759305184, 0.45023079027364754, 0.11037180299053387, 0.2076176406521046, -0.024347654571139007, 0.21811855674664282, 0.15943458787526707, 0.07161753124804521, 0.10931745497985002, 0.23514367351118398, 0.11905683369413779, 0.043611787221565536, -0.23600316013872377, 0.02237525696828201, 0.024081071527503734] |
707.3325 | Haptic Manipulation of Microspheres Using Optical Tweezers Under the
Guidance of Artificial Force Fields | Using optical tweezers and a haptic device, microspheres having diameters
ranging from 3 to 4 um (floating in a fluid solution) are manipulated in order
to form patterns of coupled optical microresonators by assembling the spheres
via chemical binding. For this purpose, biotin-coated microspheres trapped by a
laser beam are steered and chemically attached to an immobilized
streptavidin-coated sphere (i.e. anchor sphere) one by one using an XYZ piezo
scanner controlled by a haptic device. The positions of all spheres in the
scene are detected using a CCD camera and a collision-free path for each
manipulated sphere is generated using the potential field approach. The forces
acting on the manipulated particle due to the viscosity of the fluid and the
artificial potential field are scaled and displayed to the user through the
haptic device for better guidance and control during steering. In addition, a
virtual fixture is implemented such that the desired angle of approach and
strength are achieved during the binding phase. Our experimental studies in
virtual and real environments with 8 human subjects show that haptic feedback
significantly improves the user performance by reducing the task completion
time, the number of undesired collisions during steering, and the positional
errors during binding. To our knowledge, this is the first time that a haptic
device is coupled with OT to guide the user during an optical manipulation task
involving steering and assembly of microspheres to construct a coupled
microresonator.
| physics.optics physics.ins-det | using optical tweezers and a haptic device microspheres having diameters ranging from 3 to 4 um floating in a fluid solution are manipulated in order to form patterns of coupled optical microresonators by assembling the spheres via chemical binding for this purpose biotincoated microspheres trapped by a laser beam are steered and chemically attached to an immobilized streptavidincoated sphere ie anchor sphere one by one using an xyz piezo scanner controlled by a haptic device the positions of all spheres in the scene are detected using a ccd camera and a collisionfree path for each manipulated sphere is generated using the potential field approach the forces acting on the manipulated particle due to the viscosity of the fluid and the artificial potential field are scaled and displayed to the user through the haptic device for better guidance and control during steering in addition a virtual fixture is implemented such that the desired angle of approach and strength are achieved during the binding phase our experimental studies in virtual and real environments with 8 human subjects show that haptic feedback significantly improves the user performance by reducing the task completion time the number of undesired collisions during steering and the positional errors during binding to our knowledge this is the first time that a haptic device is coupled with ot to guide the user during an optical manipulation task involving steering and assembly of microspheres to construct a coupled microresonator | [['using', 'optical', 'tweezers', 'and', 'a', 'haptic', 'device', 'microspheres', 'having', 'diameters', 'ranging', 'from', '3', 'to', '4', 'um', 'floating', 'in', 'a', 'fluid', 'solution', 'are', 'manipulated', 'in', 'order', 'to', 'form', 'patterns', 'of', 'coupled', 'optical', 'microresonators', 'by', 'assembling', 'the', 'spheres', 'via', 'chemical', 'binding', 'for', 'this', 'purpose', 'biotincoated', 'microspheres', 'trapped', 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707.3326 | Moon Shadow by Cosmic Rays under the Influence of Geomagnetic Field and
Search for Antiprotons at Multi-TeV Energies | We have observed the shadowing of galactic cosmic ray flux in the direction
of the moon, the so-called moon shadow, using the Tibet-III air shower array
operating at Yangbajing (4300 m a.s.l.) in Tibet since 1999. Almost all cosmic
rays are positively charged; for that reason, they are bent by the geomagnetic
field, thereby shifting the moon shadow westward. The cosmic rays will also
produce an additional shadow in the eastward direction of the moon if cosmic
rays contain negatively charged particles, such as antiprotons, with some
fraction. We selected 1.5 x10^{10} air shower events with energy beyond about 3
TeV from the dataset observed by the Tibet-III air shower array and detected
the moon shadow at $\sim 40 \sigma$ level. The center of the moon was detected
in the direction away from the apparent center of the moon by 0.23$^\circ$ to
the west. Based on these data and a full Monte Carlo simulation, we searched
for the existence of the shadow produced by antiprotons at the multi-TeV energy
region. No evidence of the existence of antiprotons was found in this energy
region. We obtained the 90% confidence level upper limit of the flux ratio of
antiprotons to protons as 7% at multi-TeV energies.
| astro-ph | we have observed the shadowing of galactic cosmic ray flux in the direction of the moon the socalled moon shadow using the tibetiii air shower array operating at yangbajing 4300 m asl in tibet since 1999 almost all cosmic rays are positively charged for that reason they are bent by the geomagnetic field thereby shifting the moon shadow westward the cosmic rays will also produce an additional shadow in the eastward direction of the moon if cosmic rays contain negatively charged particles such as antiprotons with some fraction we selected 15 x1010 air shower events with energy beyond about 3 tev from the dataset observed by the tibetiii air shower array and detected the moon shadow at sim 40 sigma level the center of the moon was detected in the direction away from the apparent center of the moon by 023circ to the west based on these data and a full monte carlo simulation we searched for the existence of the shadow produced by antiprotons at the multitev energy region no evidence of the existence of antiprotons was found in this energy region we obtained the 90 confidence level upper limit of the flux ratio of antiprotons to protons as 7 at multitev energies | [['we', 'have', 'observed', 'the', 'shadowing', 'of', 'galactic', 'cosmic', 'ray', 'flux', 'in', 'the', 'direction', 'of', 'the', 'moon', 'the', 'socalled', 'moon', 'shadow', 'using', 'the', 'tibetiii', 'air', 'shower', 'array', 'operating', 'at', 'yangbajing', '4300', 'm', 'asl', 'in', 'tibet', 'since', '1999', 'almost', 'all', 'cosmic', 'rays', 'are', 'positively', 'charged', 'for', 'that', 'reason', 'they', 'are', 'bent', 'by', 'the', 'geomagnetic', 'field', 'thereby', 'shifting', 'the', 'moon', 'shadow', 'westward', 'the', 'cosmic', 'rays', 'will', 'also', 'produce', 'an', 'additional', 'shadow', 'in', 'the', 'eastward', 'direction', 'of', 'the', 'moon', 'if', 'cosmic', 'rays', 'contain', 'negatively', 'charged', 'particles', 'such', 'as', 'antiprotons', 'with', 'some', 'fraction', 'we', 'selected', '15', 'x1010', 'air', 'shower', 'events', 'with', 'energy', 'beyond', 'about', '3', 'tev', 'from', 'the', 'dataset', 'observed', 'by', 'the', 'tibetiii', 'air', 'shower', 'array', 'and', 'detected', 'the', 'moon', 'shadow', 'at', 'sim', '40', 'sigma', 'level', 'the', 'center', 'of', 'the', 'moon', 'was', 'detected', 'in', 'the', 'direction', 'away', 'from', 'the', 'apparent', 'center', 'of', 'the', 'moon', 'by', '023circ', 'to', 'the', 'west', 'based', 'on', 'these', 'data', 'and', 'a', 'full', 'monte', 'carlo', 'simulation', 'we', 'searched', 'for', 'the', 'existence', 'of', 'the', 'shadow', 'produced', 'by', 'antiprotons', 'at', 'the', 'multitev', 'energy', 'region', 'no', 'evidence', 'of', 'the', 'existence', 'of', 'antiprotons', 'was', 'found', 'in', 'this', 'energy', 'region', 'we', 'obtained', 'the', '90', 'confidence', 'level', 'upper', 'limit', 'of', 'the', 'flux', 'ratio', 'of', 'antiprotons', 'to', 'protons', 'as', '7', 'at', 'multitev', 'energies']] | 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707.3327 | Some connections between results and problems of De Giorgi, Moser and
Bangert | Using theorems of Bangert, we prove a rigidity result which shows how a
question raised by Bangert for elliptic integrands of Moser type is connected,
in the case of minimal solutions without self-intersections, to a famous
conjecture of De Giorgi for phase transitions.
| math.AP | using theorems of bangert we prove a rigidity result which shows how a question raised by bangert for elliptic integrands of moser type is connected in the case of minimal solutions without selfintersections to a famous conjecture of de giorgi for phase transitions | [['using', 'theorems', 'of', 'bangert', 'we', 'prove', 'a', 'rigidity', 'result', 'which', 'shows', 'how', 'a', 'question', 'raised', 'by', 'bangert', 'for', 'elliptic', 'integrands', 'of', 'moser', 'type', 'is', 'connected', 'in', 'the', 'case', 'of', 'minimal', 'solutions', 'without', 'selfintersections', 'to', 'a', 'famous', 'conjecture', 'of', 'de', 'giorgi', 'for', 'phase', 'transitions']] | [-0.1791915889006368, 0.0548913533431153, -0.12754409730185343, 0.09647782386529671, -0.07245549776179847, -0.17892040010151822, 0.06688406556671442, 0.21216253387243594, -0.23782940052969512, -0.2708559136317913, 0.1265936107889121, -0.26507382616292424, -0.17294047233583623, 0.2258257334618721, -0.21212111697207356, 0.04998396527628566, 0.052422679051063785, -0.005904512696487959, -0.03569013945931612, -0.26378910313360393, 0.3782555084069108, -0.0831268245982396, 0.18954213096781872, 0.14399098530195134, 0.07319241445944753, 0.04188345683478685, 0.010180026790950187, 0.007680297396037468, -0.19185910944631973, 0.11270636691018766, 0.2849451936510673, 0.07008191381667762, 0.2470049359727391, -0.3470348380072865, -0.20957350776920658, 0.16607780354963833, 0.11633755294822676, 0.07594083319688866, -0.06016567534074014, -0.2842036055476773, 0.11136006171880074, -0.053010036172561864, -0.28172133491526163, -0.04450163494817219, 0.021437671078845512, 0.010829281711647676, -0.23085700880822746, 0.10507528379906056, 0.18591479188221138, 0.07400370183465786, -0.06823264790135761, -0.026418621251142995, 0.0025363763859278933, 0.03385869349721213, 0.05488370786161097, 0.0527642241484204, -0.009733847948874151, -0.08488063176357469, -0.19194454632612856, 0.297214686643159, -0.09194181731707135, -0.1781208684971166, 0.11643682879417441, -0.09449459994644967, -0.2179484473931235, 0.09974121051125748, 0.07081945525850494, 0.18893951177597046, -0.043129447739311426, 0.19199413266899282, -0.06158684633758872, 0.08251346223229586, 0.2188571788002412, -0.07599158725852884, 0.08927923430103896, 0.08739214701318117, 0.11098577437359233, 0.1630960899556792, 0.04703063924991807, -0.08118399162235301, -0.28275710508920426, -0.21646338501988455, -0.1491758551849269, 0.15713095574011637, -0.0848863072433444, -0.20908681987676508, 0.376107991044951, 0.02393124393339074, 0.18379254552514054, 0.10845832713219056, 0.16737185869106028, 0.06696608632283155, -0.02440528684230738, 0.0818089661621597, 0.20355288594484675, 0.20729108718440456, 0.09883888109132301, -0.1480501921695852, -0.014983512320404136, 0.2836346739989727] |
707.3328 | The Design of Diamond Compton Telescope | We have developed radiation detectors using the new synthetic diamonds. The
diamond detector has an advantage for observations of "low/medium" energy gamma
rays as a Compton telescope. The primary advantage of the diamond detector can
reduce the photoelectric effect in the low energy range, which is background
noise for tracking of the Compton recoil electron. A concept of the Diamond
Compton Telescope (DCT) consists of position sensitive layers of
diamond-striped detector and calorimeter layer of CdTe detector. The key part
of the DCT is diamond-striped detectors with a higher positional resolution and
a wider energy range from 10 keV to 10 MeV. However, the diamond-striped
detector is under development. We describe the performance of prototype diamond
detector and the design of a possible DCT evaluated by Monte Carlo simulations.
| astro-ph | we have developed radiation detectors using the new synthetic diamonds the diamond detector has an advantage for observations of lowmedium energy gamma rays as a compton telescope the primary advantage of the diamond detector can reduce the photoelectric effect in the low energy range which is background noise for tracking of the compton recoil electron a concept of the diamond compton telescope dct consists of position sensitive layers of diamondstriped detector and calorimeter layer of cdte detector the key part of the dct is diamondstriped detectors with a higher positional resolution and a wider energy range from 10 kev to 10 mev however the diamondstriped detector is under development we describe the performance of prototype diamond detector and the design of a possible dct evaluated by monte carlo simulations | [['we', 'have', 'developed', 'radiation', 'detectors', 'using', 'the', 'new', 'synthetic', 'diamonds', 'the', 'diamond', 'detector', 'has', 'an', 'advantage', 'for', 'observations', 'of', 'lowmedium', 'energy', 'gamma', 'rays', 'as', 'a', 'compton', 'telescope', 'the', 'primary', 'advantage', 'of', 'the', 'diamond', 'detector', 'can', 'reduce', 'the', 'photoelectric', 'effect', 'in', 'the', 'low', 'energy', 'range', 'which', 'is', 'background', 'noise', 'for', 'tracking', 'of', 'the', 'compton', 'recoil', 'electron', 'a', 'concept', 'of', 'the', 'diamond', 'compton', 'telescope', 'dct', 'consists', 'of', 'position', 'sensitive', 'layers', 'of', 'diamondstriped', 'detector', 'and', 'calorimeter', 'layer', 'of', 'cdte', 'detector', 'the', 'key', 'part', 'of', 'the', 'dct', 'is', 'diamondstriped', 'detectors', 'with', 'a', 'higher', 'positional', 'resolution', 'and', 'a', 'wider', 'energy', 'range', 'from', '10', 'kev', 'to', '10', 'mev', 'however', 'the', 'diamondstriped', 'detector', 'is', 'under', 'development', 'we', 'describe', 'the', 'performance', 'of', 'prototype', 'diamond', 'detector', 'and', 'the', 'design', 'of', 'a', 'possible', 'dct', 'evaluated', 'by', 'monte', 'carlo', 'simulations']] | [-0.028988939240690348, 0.13459756234653977, -0.05199931924007544, 0.02696808469355424, -0.023086841619986854, -0.10656583928250411, -0.0181968002778644, 0.4186648325922415, -0.19321741464786057, -0.37300297980333946, 0.0679408360855625, -0.33834247846993826, -0.003211343740365764, 0.21659126784291494, -0.019126445509839888, 0.07638047947440037, 0.10361763854446106, -0.034538163565272506, -0.0792135853151603, -0.1665834905336026, 0.24469244107784516, 0.2370098529080319, 0.3073206441152061, 0.049955737550992, 0.20350200194114632, 0.02197323848273201, -0.021984445627836524, -0.024998085031849006, -0.07519299939975085, 0.07384043712486592, 0.27753833540383177, 0.06051766928131945, 0.19845195015704678, -0.39819276908975704, -0.20690770020939467, 0.07068638987261658, 0.08853435891052318, 0.015998661744610457, -0.08047264981870503, -0.29996813011767215, 0.07646444660084423, -0.20383667776924233, -0.1064662213343405, 0.03578247802869901, -0.06120622439613176, 0.006714168491109109, -0.2226259502502837, -0.011268211315682, 0.010846166552022793, 0.002635413057048076, -0.06648512731140205, -0.15306687556467083, 0.052989443500576786, 0.053947007815108104, -0.04485163368988214, 0.011752654690035554, 0.20280574597490503, -0.11852006176703198, -0.1100193875798479, 0.3460085346226313, -0.02046287091188999, -0.11025164532655662, 0.1422118743495337, -0.180204880145891, -0.04580991740822214, 0.2506072074391468, 0.1718874816789992, 0.10167580529282144, -0.19167921288559833, 0.10295134554720888, 0.04303856066413686, 0.2198348275725116, 0.08002599036725339, 0.06397482253928748, 0.1877990384286544, 0.26170081422166075, 0.05937746152653568, 0.17626486581302603, -0.3127818000394591, 0.023000640036130338, -0.2986400312881253, -0.1633874300773465, -0.20494238233063802, 0.034520564481702654, -0.0944823997936531, -0.13852465487727822, 0.3748886498384351, 0.12592257884179436, 0.1207175133677647, -0.022074855998512215, 0.33549582960387303, 0.056713156899357894, 0.14510257113652753, -0.020724882952897816, 0.292936177314223, 0.1370504710068854, 0.13446889724582434, -0.22393384737742328, 0.012314856925964818, 0.009778359843519076] |
707.3329 | Magnetocrystalline anisotropy controlled local magnetic configurations
in (Ga,Mn)As spin-transfer-torque microdevices | The large saturation magnetization in conventional dense moment ferromagnets
offers flexible means of manipulating the ordered state through demagnetizing
shape anisotropy fields but these dipolar fields, in turn, limit the
integrability of magnetic elements in information storage devices. We show that
in a (Ga,Mn)As dilute moment ferromagnet, with comparatively weaker magnetic
dipole interactions, locally tunable magnetocrystalline anisotropy can take the
role of the internal field which determines the magnetic configuration.
Experiments and theoretical modeling are presented for lithographically
patterned microchannels and the phenomenon is attributed to lattice relaxations
across the channels. The utility of locally controlled magnetic anisotropies is
demonstrated in current induced switching experiments. We report structure
sensitive, current induced in-plane magnetization switchings well below the
Curie temperature at critical current densities 10^5 Acm^-2. The observed
phenomenology shows signatures of a contribution from domain-wall
spin-transfer-torque effects.
| cond-mat.mes-hall cond-mat.mtrl-sci | the large saturation magnetization in conventional dense moment ferromagnets offers flexible means of manipulating the ordered state through demagnetizing shape anisotropy fields but these dipolar fields in turn limit the integrability of magnetic elements in information storage devices we show that in a gamnas dilute moment ferromagnet with comparatively weaker magnetic dipole interactions locally tunable magnetocrystalline anisotropy can take the role of the internal field which determines the magnetic configuration experiments and theoretical modeling are presented for lithographically patterned microchannels and the phenomenon is attributed to lattice relaxations across the channels the utility of locally controlled magnetic anisotropies is demonstrated in current induced switching experiments we report structure sensitive current induced inplane magnetization switchings well below the curie temperature at critical current densities 105 acm2 the observed phenomenology shows signatures of a contribution from domainwall spintransfertorque effects | [['the', 'large', 'saturation', 'magnetization', 'in', 'conventional', 'dense', 'moment', 'ferromagnets', 'offers', 'flexible', 'means', 'of', 'manipulating', 'the', 'ordered', 'state', 'through', 'demagnetizing', 'shape', 'anisotropy', 'fields', 'but', 'these', 'dipolar', 'fields', 'in', 'turn', 'limit', 'the', 'integrability', 'of', 'magnetic', 'elements', 'in', 'information', 'storage', 'devices', 'we', 'show', 'that', 'in', 'a', 'gamnas', 'dilute', 'moment', 'ferromagnet', 'with', 'comparatively', 'weaker', 'magnetic', 'dipole', 'interactions', 'locally', 'tunable', 'magnetocrystalline', 'anisotropy', 'can', 'take', 'the', 'role', 'of', 'the', 'internal', 'field', 'which', 'determines', 'the', 'magnetic', 'configuration', 'experiments', 'and', 'theoretical', 'modeling', 'are', 'presented', 'for', 'lithographically', 'patterned', 'microchannels', 'and', 'the', 'phenomenon', 'is', 'attributed', 'to', 'lattice', 'relaxations', 'across', 'the', 'channels', 'the', 'utility', 'of', 'locally', 'controlled', 'magnetic', 'anisotropies', 'is', 'demonstrated', 'in', 'current', 'induced', 'switching', 'experiments', 'we', 'report', 'structure', 'sensitive', 'current', 'induced', 'inplane', 'magnetization', 'switchings', 'well', 'below', 'the', 'curie', 'temperature', 'at', 'critical', 'current', 'densities', '105', 'acm2', 'the', 'observed', 'phenomenology', 'shows', 'signatures', 'of', 'a', 'contribution', 'from', 'domainwall', 'spintransfertorque', 'effects']] | [-0.23052586575423667, 0.257482919502106, 0.000851923077669756, 0.034081815937398015, -0.08485653235774188, -0.07479292993182249, 0.025831321670323693, 0.42804008276358135, -0.29261759163159196, -0.31332237869892, -0.01636744183607155, -0.2620886746916349, -0.06959058037435595, 0.20741228700996153, 0.07497734870136219, -0.006244339116842208, -0.022278739163230588, -0.03727020510220832, -0.04572406850150195, -0.19001528650885924, 0.2357508796063272, 0.03006842058686451, 0.3944672459777254, 0.1296843789640243, 0.06877478212967895, -0.012942616651251055, 0.12227912813792155, 0.08981636104795973, -0.1439768004617896, 0.04360699576128573, 0.22121379405334865, -0.1019143133261071, 0.14288844854951613, -0.49758208563456136, -0.19234307176589857, 0.018560384517453992, 0.11837824039419528, 0.14412172578774854, -0.09180915799250242, -0.284474573662355, 0.045577602719303466, -0.10349505311761895, -0.13402530852436295, -0.15601140593797186, -0.012537969377428891, 0.034363016802273744, -0.3017290810081767, 0.10447888035857439, 0.11083264243160204, 0.15001824190908106, -0.07787276628687655, -0.13971513304281571, -0.051696044341898964, 0.023764844392392324, 0.05853356570889154, 0.07966047702068259, 0.2519487325122485, -0.15305703665286194, -0.12239071999567758, 0.31561909508585495, -0.0685681726538787, -0.11317450252740158, 0.11754390577799266, -0.2241890251935616, -0.061053264519050174, 0.16370925165875985, 0.15683000934833702, 0.10806515037564791, -0.13779813340520078, 0.09945284586440581, 0.05455214762380415, 0.16028606811925825, 0.0305123567516596, 0.05476063771690004, 0.30004793937134483, 0.21602376860338704, 0.05309041634535104, 0.1788757711336234, -0.11842204589332134, -0.07718887526616726, -0.21021479339658344, -0.081451566369837, -0.2144046096703935, 0.10311763427716537, -0.09952593115765948, -0.16384704141490106, 0.3780667176130262, 0.1904060539694326, 0.16033384799753336, -0.07505853979845777, 0.28662181206482606, 0.07495032348729548, 0.09305508565123662, 0.04961937014693326, 0.26043738652510146, 0.2201012980097728, 0.15513603834190617, -0.28655676446331624, 0.12017436955042564, -0.030082677423029485] |
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