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711.1008 | Corner-Impact Bifurcations: a novel class of discontinuity-induced
bifurcations in Cam-Follower Systems | This paper is concerned with the analysis of a class of impacting systems of
relevance in applications: cam-follower systems. We show that these systems,
which can be modelled as discontinuously forced impact oscillators, can exhibit
complex behaviour due to the detachment at high rotational speeds between the
follower and the cam. We propose that the observed phenomena can be explained
in terms of a novel type of discontinuity-induced bifurcation, termed as
corner-impact. We present a complete analysis of this bifurcation in the case
of non-autonomous impact oscillator and explain the transition to chaos
observed in a representative cam-follower example. The theoretical findings are
validated numerically.
| math-ph math.MP | this paper is concerned with the analysis of a class of impacting systems of relevance in applications camfollower systems we show that these systems which can be modelled as discontinuously forced impact oscillators can exhibit complex behaviour due to the detachment at high rotational speeds between the follower and the cam we propose that the observed phenomena can be explained in terms of a novel type of discontinuityinduced bifurcation termed as cornerimpact we present a complete analysis of this bifurcation in the case of nonautonomous impact oscillator and explain the transition to chaos observed in a representative camfollower example the theoretical findings are validated numerically | [['this', 'paper', 'is', 'concerned', 'with', 'the', 'analysis', 'of', 'a', 'class', 'of', 'impacting', 'systems', 'of', 'relevance', 'in', 'applications', 'camfollower', 'systems', 'we', 'show', 'that', 'these', 'systems', 'which', 'can', 'be', 'modelled', 'as', 'discontinuously', 'forced', 'impact', 'oscillators', 'can', 'exhibit', 'complex', 'behaviour', 'due', 'to', 'the', 'detachment', 'at', 'high', 'rotational', 'speeds', 'between', 'the', 'follower', 'and', 'the', 'cam', 'we', 'propose', 'that', 'the', 'observed', 'phenomena', 'can', 'be', 'explained', 'in', 'terms', 'of', 'a', 'novel', 'type', 'of', 'discontinuityinduced', 'bifurcation', 'termed', 'as', 'cornerimpact', 'we', 'present', 'a', 'complete', 'analysis', 'of', 'this', 'bifurcation', 'in', 'the', 'case', 'of', 'nonautonomous', 'impact', 'oscillator', 'and', 'explain', 'the', 'transition', 'to', 'chaos', 'observed', 'in', 'a', 'representative', 'camfollower', 'example', 'the', 'theoretical', 'findings', 'are', 'validated', 'numerically']] | [-0.1682938691046016, 0.11176740149876066, -0.08214379048292234, 0.05286376153041298, -0.03362550105278691, -0.11702696479601311, 0.05343244539678791, 0.3410684658104883, -0.2655904028272512, -0.27728851192503, 0.11006573951739233, -0.2400933081859394, -0.25954618047712846, 0.22156986714724233, -0.0801612585280821, 0.015000035054981709, 0.05419534187097395, 0.02615574703497045, -0.03120602035036712, -0.1596030074573469, 0.31436893842913505, 0.01299249136126509, 0.24194357221188278, 0.04341898183794875, 0.08009026251623735, -0.07180777776475046, 0.020343764507047394, 0.0670266383345805, -0.1435227861507241, 0.07737154459042073, 0.25277293436046616, 0.07366555791083432, 0.26476057310241696, -0.38644191164377273, -0.2512368730579813, 0.11845313835039954, 0.18773386084620713, 0.11967577379283623, -0.05401763769052694, -0.2815239210133715, 0.06774291418054525, -0.1878929889841375, -0.17091593639377287, -0.09343100685224522, 0.0019949524544690756, 0.09745024311340268, -0.22500275897190852, 0.09439473927441035, 0.07519504489998023, 0.10541524410284325, -0.06784888765975541, -0.03300644315359201, -0.051662676730284504, 0.12575278512667865, 0.03434096494753498, -0.04580567191884506, 0.11171387693862997, -0.0842081012122114, -0.13985383753463917, 0.42575895819155607, -0.08148119994439185, -0.17473131280812418, 0.22905460985887605, -0.1588996312736223, -0.14424049040284373, 0.11088319938155074, 0.24458062254787222, 0.10027219602089449, -0.1163764230395649, 0.0007176300243693678, 0.004948788291692515, 0.14922915357073732, 0.02711148520328981, 0.0026785703330282486, 0.19647113564561175, 0.2157509046214103, -0.006031885341394181, 0.19020843783886554, -0.05549913525179613, -0.1111909490827398, -0.29690476992697107, -0.1233422363669995, -0.14085042828639202, 0.038859162655403366, -0.03376805114841737, -0.15067265950618128, 0.4040416091150951, 0.16228437411379726, 0.24644774546408477, 0.01759743627375357, 0.23721834408192366, 0.16247320743779853, 0.015115968106935421, 0.03872153569725068, 0.27608133970723286, 0.10764751009935257, 0.12301253096437921, -0.2270133355495465, 0.089221535688814, 0.026820871710786412] |
711.1009 | On the Casimir Effect in the High Tc Cuprates | High temperature superconductors have in common that they consist of parallel
planes of copper oxide separated by layers whose composition can vary. Being
ceramics, the cuprate superconductors are poor conductors above the transition
temperature, T_c. Below T_c, the parallel Cu-O planes in those materials become
superconducting while the layers in between stay poor conductors. Here, we ask
to what extent the change in the Casimir energy that arises when the parallel
Cu-O layers become superconducting could contribute to the superconducting
condensation energy. Our aim here is merely to obtain an order of magnitude
estimate. To this end, the material is modelled as consisting below T_c of
parallel plasma sheets separated by vacuum and as without a significant Casimir
effect above T_c. Due to the close proximity of the Cu-O planes the system is
in the regime where the Casimir effect becomes a van der Waals type effect,
dominated by contributions from TM surface plasmons propagating along the ab
planes. Within this model, the Casimir energy is found to be of the same order
of magnitude as the superconducting condensation energy.
| cond-mat.supr-con | high temperature superconductors have in common that they consist of parallel planes of copper oxide separated by layers whose composition can vary being ceramics the cuprate superconductors are poor conductors above the transition temperature t_c below t_c the parallel cuo planes in those materials become superconducting while the layers in between stay poor conductors here we ask to what extent the change in the casimir energy that arises when the parallel cuo layers become superconducting could contribute to the superconducting condensation energy our aim here is merely to obtain an order of magnitude estimate to this end the material is modelled as consisting below t_c of parallel plasma sheets separated by vacuum and as without a significant casimir effect above t_c due to the close proximity of the cuo planes the system is in the regime where the casimir effect becomes a van der waals type effect dominated by contributions from tm surface plasmons propagating along the ab planes within this model the casimir energy is found to be of the same order of magnitude as the superconducting condensation energy | [['high', 'temperature', 'superconductors', 'have', 'in', 'common', 'that', 'they', 'consist', 'of', 'parallel', 'planes', 'of', 'copper', 'oxide', 'separated', 'by', 'layers', 'whose', 'composition', 'can', 'vary', 'being', 'ceramics', 'the', 'cuprate', 'superconductors', 'are', 'poor', 'conductors', 'above', 'the', 'transition', 'temperature', 't_c', 'below', 't_c', 'the', 'parallel', 'cuo', 'planes', 'in', 'those', 'materials', 'become', 'superconducting', 'while', 'the', 'layers', 'in', 'between', 'stay', 'poor', 'conductors', 'here', 'we', 'ask', 'to', 'what', 'extent', 'the', 'change', 'in', 'the', 'casimir', 'energy', 'that', 'arises', 'when', 'the', 'parallel', 'cuo', 'layers', 'become', 'superconducting', 'could', 'contribute', 'to', 'the', 'superconducting', 'condensation', 'energy', 'our', 'aim', 'here', 'is', 'merely', 'to', 'obtain', 'an', 'order', 'of', 'magnitude', 'estimate', 'to', 'this', 'end', 'the', 'material', 'is', 'modelled', 'as', 'consisting', 'below', 't_c', 'of', 'parallel', 'plasma', 'sheets', 'separated', 'by', 'vacuum', 'and', 'as', 'without', 'a', 'significant', 'casimir', 'effect', 'above', 't_c', 'due', 'to', 'the', 'close', 'proximity', 'of', 'the', 'cuo', 'planes', 'the', 'system', 'is', 'in', 'the', 'regime', 'where', 'the', 'casimir', 'effect', 'becomes', 'a', 'van', 'der', 'waals', 'type', 'effect', 'dominated', 'by', 'contributions', 'from', 'tm', 'surface', 'plasmons', 'propagating', 'along', 'the', 'ab', 'planes', 'within', 'this', 'model', 'the', 'casimir', 'energy', 'is', 'found', 'to', 'be', 'of', 'the', 'same', 'order', 'of', 'magnitude', 'as', 'the', 'superconducting', 'condensation', 'energy']] | [-0.1699529364769761, 0.2413172759148842, -0.007112821786560946, 0.02858248133626249, -0.034471188803824285, -0.12300507666853568, 0.07074843843583949, 0.37781121145623425, -0.26561222788360384, -0.30199553872355156, -0.023678850390974227, -0.36637819519576925, -0.06137049596323373, 0.18265252873793036, 0.013738671598386848, -0.017708651883165456, -0.062052162346662956, -0.013565047469455749, -0.12714601556007338, -0.23891760697200273, 0.32785827225436354, 0.05050544491322297, 0.336139070480648, 0.08624156807135376, 0.0006680645695370104, -0.06399376328336075, 0.15219958323901261, 0.037823283227367534, -0.15099417230360107, 0.05562561920119657, 0.3036192147138839, -0.1394940762845282, 0.20182005654916996, -0.4572116270661354, -0.21586085881313516, 0.04051949944114312, 0.15767303003877814, 0.10635186133052534, -0.006264674787720044, -0.21863632461883956, 0.05604577264489813, -0.11834668957663881, -0.1139544727668787, -0.027194238619671927, -0.03629156859177682, -0.0012697019151851742, -0.16805391495323016, 0.10337426608117918, 0.07852534153951435, 0.07598854818368433, -0.06825893352636032, -0.13064601959647715, -0.046284398502515006, 0.06431438891013386, 0.07167041054344736, 0.07177554388116632, 0.17440276676530225, -0.10633461934566084, -0.029123489475912517, 0.36385406238130397, -0.02885843297311415, -0.07988684499222372, 0.18531237233481887, -0.14154410727529063, -0.006379820147736205, 0.16047348100821385, 0.12079070123210033, 0.05364729596783743, -0.1573620110870656, 0.06620880846522696, 0.028278187170831692, 0.19062226561945864, 0.1279973815078847, 0.03746367489220574, 0.2904348460181306, 0.20599844494912153, 0.052073891997699524, 0.149719816249045, -0.07449173969863397, -0.041928463085140616, -0.24550118420480027, -0.20733687230773892, -0.21487786303300205, 0.0269694481148488, -0.05892774974046107, -0.2537806249637571, 0.3328542572950634, 0.17301264746476794, 0.20540369007374262, -0.08927977599927948, 0.2717354086447611, 0.10033950877776887, 0.1326408920725549, 0.05417884221403963, 0.29996824591524074, 0.15728568606880597, 0.13659587306901813, -0.2503359611010334, 0.0820183291979548, 0.02901783109539085] |
711.101 | Nature of protein family signatures: Insights from singular value
analysis of position-specific scoring matrices | Position-specific scoring matrices (PSSMs) are useful for detecting weak
homology in protein sequence analysis, and they are thought to contain some
essential signatures of the protein families. In order to elucidate what kind
of ingredients constitute such family-specific signatures, we apply singular
value decomposition to a set of PSSMs and examine the properties of dominant
right and left singular vectors. The first right singular vectors were
correlated with various amino acid indices including relative mutability, amino
acid composition in protein interior, hydropathy, or turn propensity, depending
on proteins. A significant correlation between the first left singular vector
and a measure of site conservation was observed. It is shown that the
contribution of the first singular component to the PSSMs act to disfavor
potentially but falsely functionally important residues at conserved sites. The
second right singular vectors were highly correlated with hydrophobicity
scales, and the corresponding left singular vectors with contact numbers of
protein structures. It is suggested that sequence alignment with a PSSM is
essentially equivalent to threading supplemented with functional information.
The presented method may be used to separate functionally important sites from
structurally important ones, and thus it may be a useful tool for predicting
protein functions.
| q-bio.BM | positionspecific scoring matrices pssms are useful for detecting weak homology in protein sequence analysis and they are thought to contain some essential signatures of the protein families in order to elucidate what kind of ingredients constitute such familyspecific signatures we apply singular value decomposition to a set of pssms and examine the properties of dominant right and left singular vectors the first right singular vectors were correlated with various amino acid indices including relative mutability amino acid composition in protein interior hydropathy or turn propensity depending on proteins a significant correlation between the first left singular vector and a measure of site conservation was observed it is shown that the contribution of the first singular component to the pssms act to disfavor potentially but falsely functionally important residues at conserved sites the second right singular vectors were highly correlated with hydrophobicity scales and the corresponding left singular vectors with contact numbers of protein structures it is suggested that sequence alignment with a pssm is essentially equivalent to threading supplemented with functional information the presented method may be used to separate functionally important sites from structurally important ones and thus it may be a useful tool for predicting protein functions | [['positionspecific', 'scoring', 'matrices', 'pssms', 'are', 'useful', 'for', 'detecting', 'weak', 'homology', 'in', 'protein', 'sequence', 'analysis', 'and', 'they', 'are', 'thought', 'to', 'contain', 'some', 'essential', 'signatures', 'of', 'the', 'protein', 'families', 'in', 'order', 'to', 'elucidate', 'what', 'kind', 'of', 'ingredients', 'constitute', 'such', 'familyspecific', 'signatures', 'we', 'apply', 'singular', 'value', 'decomposition', 'to', 'a', 'set', 'of', 'pssms', 'and', 'examine', 'the', 'properties', 'of', 'dominant', 'right', 'and', 'left', 'singular', 'vectors', 'the', 'first', 'right', 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711.1011 | Super- and subradiant emission of two-level systems in the near-Dicke
limit | We analyze the stability of super- and subradiant states in a system of
identical two-level atoms in the near-Dicke limit, i.e., when the atoms are
very close to each other compared to the wavelength of resonant light. The
dynamics of the system are studied using a renormalized master equation, both
with multipolar and minimal-coupling interaction schemes. We show that both
models lead to the same result and, in contrast to unrenormalized models,
predict that the relative orientation of the (co-aligned) dipoles is
unimportant in the Dicke limit. Our master equation is of relevance to any
system of dipole-coupled two-level atoms, and gives bounds on the strength of
the dipole-dipole interaction for closely spaced atoms. Exact calculations for
small atom systems in the near-Dicke limit show the increased emission times
resulting from the evolution generated by the strong dipole-dipole interaction.
However, for large numbers of atoms in the near-Dicke limit, it is shown that
as the number of atoms increases, the effect of the dipole-dipole interaction
on collective emission is reduced.
| quant-ph | we analyze the stability of super and subradiant states in a system of identical twolevel atoms in the neardicke limit ie when the atoms are very close to each other compared to the wavelength of resonant light the dynamics of the system are studied using a renormalized master equation both with multipolar and minimalcoupling interaction schemes we show that both models lead to the same result and in contrast to unrenormalized models predict that the relative orientation of the coaligned dipoles is unimportant in the dicke limit our master equation is of relevance to any system of dipolecoupled twolevel atoms and gives bounds on the strength of the dipoledipole interaction for closely spaced atoms exact calculations for small atom systems in the neardicke limit show the increased emission times resulting from the evolution generated by the strong dipoledipole interaction however for large numbers of atoms in the neardicke limit it is shown that as the number of atoms increases the effect of the dipoledipole interaction on collective emission is reduced | [['we', 'analyze', 'the', 'stability', 'of', 'super', 'and', 'subradiant', 'states', 'in', 'a', 'system', 'of', 'identical', 'twolevel', 'atoms', 'in', 'the', 'neardicke', 'limit', 'ie', 'when', 'the', 'atoms', 'are', 'very', 'close', 'to', 'each', 'other', 'compared', 'to', 'the', 'wavelength', 'of', 'resonant', 'light', 'the', 'dynamics', 'of', 'the', 'system', 'are', 'studied', 'using', 'a', 'renormalized', 'master', 'equation', 'both', 'with', 'multipolar', 'and', 'minimalcoupling', 'interaction', 'schemes', 'we', 'show', 'that', 'both', 'models', 'lead', 'to', 'the', 'same', 'result', 'and', 'in', 'contrast', 'to', 'unrenormalized', 'models', 'predict', 'that', 'the', 'relative', 'orientation', 'of', 'the', 'coaligned', 'dipoles', 'is', 'unimportant', 'in', 'the', 'dicke', 'limit', 'our', 'master', 'equation', 'is', 'of', 'relevance', 'to', 'any', 'system', 'of', 'dipolecoupled', 'twolevel', 'atoms', 'and', 'gives', 'bounds', 'on', 'the', 'strength', 'of', 'the', 'dipoledipole', 'interaction', 'for', 'closely', 'spaced', 'atoms', 'exact', 'calculations', 'for', 'small', 'atom', 'systems', 'in', 'the', 'neardicke', 'limit', 'show', 'the', 'increased', 'emission', 'times', 'resulting', 'from', 'the', 'evolution', 'generated', 'by', 'the', 'strong', 'dipoledipole', 'interaction', 'however', 'for', 'large', 'numbers', 'of', 'atoms', 'in', 'the', 'neardicke', 'limit', 'it', 'is', 'shown', 'that', 'as', 'the', 'number', 'of', 'atoms', 'increases', 'the', 'effect', 'of', 'the', 'dipoledipole', 'interaction', 'on', 'collective', 'emission', 'is', 'reduced']] | [-0.14289237896514617, 0.17779432503396975, -0.014075024470409571, 0.05373367639806341, 0.0413733233423794, -0.12822100153905067, 0.031694406928385, 0.3538007008459638, -0.234967818702845, -0.2769878245780573, -0.005618190764011268, -0.3179581073934541, -0.09662025542998248, 0.18188828280716038, 0.023909600255052177, -0.00030503214939552194, 0.07359008180278846, 0.04460316348464831, -0.021736722818904503, -0.2154092206934686, 0.3086005536948933, 0.043159018197740595, 0.28688926180167235, 0.058857163189746, 0.08325165063964532, 0.0070971478762016085, 0.08306037484503845, -3.457015982883818e-05, -0.06519317670159473, 0.10285545082536855, 0.1899886322336576, 0.022664357231491628, 0.21458468044395831, -0.45392470679738944, -0.15379463746212424, 0.06850588575060315, 0.17250235444345677, 0.1850188643726356, 0.009380222320118372, -0.3021529301042285, -0.004850332510164555, -0.15856082015944756, -0.14391521149972344, -0.05761207335299867, 0.05187428972738631, 0.0882520016262253, -0.2740378750323811, 0.053626248432213766, 0.06500248847934177, 0.023388522327492382, -0.0812363591592978, -0.0634906933273134, -0.022909912701203104, 0.09371766387707527, 0.032695487070390404, -0.005830560990280526, 0.13464927626773715, -0.14377608279533247, -0.07532526280128342, 0.4242855607127935, -0.13926279888187043, -0.16232208034352344, 0.22148644940872841, -0.1668793483500314, -0.0676432979548254, 0.14791527795399922, 0.14075289105667788, 0.1099345729494577, -0.1060078968777602, 0.09065875125473694, -0.020922765302855303, 0.19402906222488073, 0.0660983996849288, 0.08085441793698599, 0.18006860715720582, 0.14245423334102858, 0.027387657005558997, 0.168907049375326, -0.07483891704777146, -0.13973743768874555, -0.24657833794241443, -0.11797707575880101, -0.22423264960594036, 0.02615184994852718, -0.08292450859067578, -0.1474617907912676, 0.3483525212826755, 0.1650544541025096, 0.1848368002293522, -0.0018240692272015354, 0.261796306555762, 0.16645882934167544, 0.051566777134533316, 0.025055423148852937, 0.31639066877610544, 0.17858975035658872, 0.04479815803796929, -0.31634289314833414, 0.02141080444733448, 0.024037419002064887] |
711.1012 | Similarity search for local protein structures at atomic resolution by
exploiting a database management system | A method to search for local structural similarities in proteins at atomic
resolution is presented. It is demonstrated that a huge amount of structural
data can be handled within a reasonable CPU time by using a conventional
relational database management system with appropriate indexing of geometric
data. This method, which we call geometric indexing, can enumerate ligand
binding sites that are structurally similar to sub-structures of a query
protein among more than 160,000 possible candidates within a few hours of CPU
time on an ordinary desktop computer. After detecting a set of high scoring
ligand binding sites by the geometric indexing search, structural alignments at
atomic resolution are constructed by iteratively applying the Hungarian
algorithm, and the statistical significance of the final score is estimated
from an empirical model based on a gamma distribution. Applications of this
method to several protein structures clearly shows that significant
similarities can be detected between local structures of non-homologous as well
as homologous proteins.
| q-bio.BM | a method to search for local structural similarities in proteins at atomic resolution is presented it is demonstrated that a huge amount of structural data can be handled within a reasonable cpu time by using a conventional relational database management system with appropriate indexing of geometric data this method which we call geometric indexing can enumerate ligand binding sites that are structurally similar to substructures of a query protein among more than 160000 possible candidates within a few hours of cpu time on an ordinary desktop computer after detecting a set of high scoring ligand binding sites by the geometric indexing search structural alignments at atomic resolution are constructed by iteratively applying the hungarian algorithm and the statistical significance of the final score is estimated from an empirical model based on a gamma distribution applications of this method to several protein structures clearly shows that significant similarities can be detected between local structures of nonhomologous as well as homologous proteins | [['a', 'method', 'to', 'search', 'for', 'local', 'structural', 'similarities', 'in', 'proteins', 'at', 'atomic', 'resolution', 'is', 'presented', 'it', 'is', 'demonstrated', 'that', 'a', 'huge', 'amount', 'of', 'structural', 'data', 'can', 'be', 'handled', 'within', 'a', 'reasonable', 'cpu', 'time', 'by', 'using', 'a', 'conventional', 'relational', 'database', 'management', 'system', 'with', 'appropriate', 'indexing', 'of', 'geometric', 'data', 'this', 'method', 'which', 'we', 'call', 'geometric', 'indexing', 'can', 'enumerate', 'ligand', 'binding', 'sites', 'that', 'are', 'structurally', 'similar', 'to', 'substructures', 'of', 'a', 'query', 'protein', 'among', 'more', 'than', '160000', 'possible', 'candidates', 'within', 'a', 'few', 'hours', 'of', 'cpu', 'time', 'on', 'an', 'ordinary', 'desktop', 'computer', 'after', 'detecting', 'a', 'set', 'of', 'high', 'scoring', 'ligand', 'binding', 'sites', 'by', 'the', 'geometric', 'indexing', 'search', 'structural', 'alignments', 'at', 'atomic', 'resolution', 'are', 'constructed', 'by', 'iteratively', 'applying', 'the', 'hungarian', 'algorithm', 'and', 'the', 'statistical', 'significance', 'of', 'the', 'final', 'score', 'is', 'estimated', 'from', 'an', 'empirical', 'model', 'based', 'on', 'a', 'gamma', 'distribution', 'applications', 'of', 'this', 'method', 'to', 'several', 'protein', 'structures', 'clearly', 'shows', 'that', 'significant', 'similarities', 'can', 'be', 'detected', 'between', 'local', 'structures', 'of', 'nonhomologous', 'as', 'well', 'as', 'homologous', 'proteins']] | [-0.08960687459839392, 0.060235553185520985, -0.08079995392909041, 0.10288429404099589, -0.06399287200183608, -0.13214417140261503, 0.10184243478870485, 0.4384497508930508, -0.29612300464359576, -0.38386062984354796, 0.042378102108341406, -0.26965244808234273, -0.12523520643735536, 0.19884547681576806, -0.028768687407136895, 0.022315913360216655, 0.1141174921503989, 0.058217659844376615, -0.06119571987837844, -0.2462791844038293, 0.23210722419171362, 0.10281513699737843, 0.26157154495595025, 0.005143337685876759, 0.07581102923577418, -0.037053908735106236, -0.025276071144617163, 0.049270841508405286, -0.07253604127540711, 0.17249706295096984, 0.2781143887943472, 0.17508939449326136, 0.2772395289328415, -0.4017450114362873, -0.18923826233949512, 0.07388701686286367, 0.14173533371649683, 0.11428696338480222, -0.06004963956120264, -0.29891954723862, 0.12465378582419362, -0.12565919180051424, -0.03465214687312255, -0.1281500578392297, 0.028554709954187275, 0.05374956082450808, -0.2179942253344052, 0.09940503568504937, 0.004598120104492409, 0.11385542744101258, -0.07087782123417127, -0.10994012159917474, -0.020450374571373685, 0.11610656032717089, 0.000526839373196708, 0.04568426434707362, 0.17048610344354528, -0.08495337046915666, -0.15032688505343686, 0.4188729425368365, -0.008839808646462189, -0.1585683711033198, 0.18350446123076836, -0.05344103458628524, -0.18665464745427016, 0.18020317272748798, 0.14187400174560025, 0.1100836311466992, -0.2080285397998523, 0.025636779909473262, -0.02979707519407384, 0.24898148540523835, 0.10873165949342364, -0.0008961217929027044, 0.20723786746675615, 0.2232733435695991, 0.047404298586479855, 0.13838097115367418, -0.12365899325814098, -0.09060178417748829, -0.21424226124654525, -0.1402630204684101, -0.2162933367260848, 0.004964396692230366, -0.13741261184904943, -0.17249439002480357, 0.3790307988696441, 0.12930964290571864, 0.2052858221286442, 0.0364178071009519, 0.269582267266378, 0.009111478829527186, 0.13929519689991138, 0.028453395393444224, 0.13046970037394204, 0.02973127695004223, 0.06994644172955304, -0.184116322295813, 0.1103286314959405, 0.05469005155027844] |
711.1013 | AGN Reddening and Ultraviolet Extinction Curves from Hubble Space
Telescope Spectra | We present intrinsic extinction curves for 14 AGNs. The AGNs have reddenings,
E(B-V), of up to 0.36 mag. The majority (13 out of 14) of the extinction curves
are not steep in the UV. Of the seven best determined extinction curves, five
have extinction curves that are as flat as the standard Galactic curve in the
optical and near UV, but flatter in the far UV, and without the 2175 Angstrom
feature. One AGN, B3 0754+394, has a steep SMC-like extinction curve, and
another, Mrk 304, has an LMC-like extinction curve, including a probable 2175
Ang. bump. The remaining seven, lower-quality, extinction curves have overall
shapes that are consistent with an LMC-like shape or a flatter shape. Two have
possible 2175 features, and one might be identical to the Galactic curve. The
flatter curves that predominate in our best determined extinction curves are
not as flat as the Gaskell et al. (2004) extinction curve for radio-loud AGNs.
This suggests that the previous radio-loud extinction curve might be slightly
too flat in the range 4 < 1/lambda < 6.5 inverse microns because of
luminosity-dependent reddening biases in the composite spectra, but further
investigation is needed. We present a parameterized average AGN extinction
curve. Observed variations in the continuum properties of the AGNs are
inconsistent with intrinsic object-to-object variations because observed
differences are least in the far UV where changes in the accretion disk
spectrum should be greatest. We suggest that the steepening of AGN spectra
around Lyman alpha is the result of a small amount of SMC-like dust (E(B-V) ~
0.03). We find the largest object-to-object differences in spectral shape to be
in the Fe II emission of the "small blue bump".
| astro-ph | we present intrinsic extinction curves for 14 agns the agns have reddenings ebv of up to 036 mag the majority 13 out of 14 of the extinction curves are not steep in the uv of the seven best determined extinction curves five have extinction curves that are as flat as the standard galactic curve in the optical and near uv but flatter in the far uv and without the 2175 angstrom feature one agn b3 0754394 has a steep smclike extinction curve and another mrk 304 has an lmclike extinction curve including a probable 2175 ang bump the remaining seven lowerquality extinction curves have overall shapes that are consistent with an lmclike shape or a flatter shape two have possible 2175 features and one might be identical to the galactic curve the flatter curves that predominate in our best determined extinction curves are not as flat as the gaskell et al 2004 extinction curve for radioloud agns this suggests that the previous radioloud extinction curve might be slightly too flat in the range 4 1lambda 65 inverse microns because of luminositydependent reddening biases in the composite spectra but further investigation is needed we present a parameterized average agn extinction curve observed variations in the continuum properties of the agns are inconsistent with intrinsic objecttoobject variations because observed differences are least in the far uv where changes in the accretion disk spectrum should be greatest we suggest that the steepening of agn spectra around lyman alpha is the result of a small amount of smclike dust ebv 003 we find the largest objecttoobject differences in spectral shape to be in the fe ii emission of the small blue bump | [['we', 'present', 'intrinsic', 'extinction', 'curves', 'for', '14', 'agns', 'the', 'agns', 'have', 'reddenings', 'ebv', 'of', 'up', 'to', '036', 'mag', 'the', 'majority', '13', 'out', 'of', '14', 'of', 'the', 'extinction', 'curves', 'are', 'not', 'steep', 'in', 'the', 'uv', 'of', 'the', 'seven', 'best', 'determined', 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711.1014 | Finite index subgroups of R. Thompson's group F | The authors classify the finite index subgroups of R. Thompson's group
$F$. All such groups that are not isomorphic to $F$ are non-split extensions
of finite cyclic groups by $F$. The classification describes precisely which
finite index subgroups of $F$ are isomorphic to $F$, and also separates the
isomorphism classes of the finite index subgroups of $F$ which are not
isomorphic to $F$ from each other; characterizing the structure of the
extensions using properties of the structure of the finite index subgroups of
$Z\times Z$.
| math.GR math.GN | the authors classify the finite index subgroups of r thompsons group f all such groups that are not isomorphic to f are nonsplit extensions of finite cyclic groups by f the classification describes precisely which finite index subgroups of f are isomorphic to f and also separates the isomorphism classes of the finite index subgroups of f which are not isomorphic to f from each other characterizing the structure of the extensions using properties of the structure of the finite index subgroups of ztimes z | [['the', 'authors', 'classify', 'the', 'finite', 'index', 'subgroups', 'of', 'r', 'thompsons', 'group', 'f', 'all', 'such', 'groups', 'that', 'are', 'not', 'isomorphic', 'to', 'f', 'are', 'nonsplit', 'extensions', 'of', 'finite', 'cyclic', 'groups', 'by', 'f', 'the', 'classification', 'describes', 'precisely', 'which', 'finite', 'index', 'subgroups', 'of', 'f', 'are', 'isomorphic', 'to', 'f', 'and', 'also', 'separates', 'the', 'isomorphism', 'classes', 'of', 'the', 'finite', 'index', 'subgroups', 'of', 'f', 'which', 'are', 'not', 'isomorphic', 'to', 'f', 'from', 'each', 'other', 'characterizing', 'the', 'structure', 'of', 'the', 'extensions', 'using', 'properties', 'of', 'the', 'structure', 'of', 'the', 'finite', 'index', 'subgroups', 'of', 'ztimes', 'z']] | [-0.18656099557000047, 0.14378586244933744, -0.09446289922822924, 0.01206118742154692, -0.10101487430031686, -0.12958817451315768, 0.0013896094142075847, 0.39078230752664456, -0.38438509008025423, -0.2314581053221927, 0.08928008051657611, -0.29063786969465366, -0.07749857251696726, 0.18609669094576556, -0.10562549443258082, -0.06445149259970469, -0.02858859289656667, 0.1472865040797521, -0.0918402975616867, -0.29780494237099503, 0.3534324364627109, -0.1035906686064075, 0.23712806364192682, -0.004068330960238681, 0.009825780176941086, -0.027535414920352837, -0.05557650493677048, 0.0029686566175180762, -0.14754992805409367, 0.09123127175861394, 0.3120226346257636, 0.06488070182623393, 0.22666858647648683, -0.26666036640458246, -0.1779149478951962, 0.2735506409450489, 0.1196571901331053, -0.09776548959095688, -0.016782490854315896, -0.24935401811757507, 0.16999262160457232, -0.20702176821582458, -0.11877944655168582, -0.035524312341037916, 0.11881652495495099, 0.06272745618925375, -0.2129081280203536, 0.01924581046401085, 0.10068295753615744, 0.1269050623564159, -0.039827467890127616, -0.1056264916434884, -0.1267246952499537, 0.15585117150536354, -0.0008612987749716815, -0.00346038798965952, 0.09831491789835341, -0.05659696452100487, -0.10859475609134225, 0.4385906012619243, -0.06068023043301175, -0.1979029313168105, 0.16067975739784102, -0.19011292775873753, -0.18670174985137933, 0.11703009476666065, 0.07921806797385215, 0.15542800963363226, -0.011330900726127711, 0.2544741476714775, -0.12396593488314572, 0.10603247556616278, 0.06249699762419743, -0.03894979604793822, 0.07827696385245551, 0.0007238891523550538, 0.06015796967617729, 0.1446981132913874, 0.08782090576475157, 0.09010883580126307, -0.3789521177901941, -0.1441558602539932, -0.09592133585281451, 0.07107666918275166, -0.10498937054465333, -0.23289291896473835, 0.47856308625024907, 0.04891207993907087, 0.12719716382596422, 0.08256789833471617, 0.15966646585832625, 0.031767840398585094, 0.10950387604534625, 0.09443904525216888, 0.05475475595277898, 0.2568662057384191, -0.2046165238627616, -0.14927168773103724, -0.017687884877052376, 0.20617578454753932] |
711.1015 | Comment on Effects of transverse magnetic field on mixed convection in
wall plume of power-law fluids, by Gorla, Lee, Nakamura and Pop, IJES, 1993 | Comment on Effects of transverse magnetic field on mixed convection in wall
plume of power-law fluids, by Rama Subba Reddy Gorla, Jin Kook Lee, Shoichiro
Nakamura and Ioan Pop [International Journal of Engineering Science, 31 (1993)
1035-1045]. In the above paper the authors treat the boundary layer mixed
convection flow of a power-law fluid along a vertical adiabatic surface in a
transverse magnetic field with a steady thermal source at the leading edge. The
governing non-similar equations are solved by means of a novel finite
difference scheme. However, there are two fundamental errors in this paper and
the presented results do not have any practical value.
| physics.flu-dyn | comment on effects of transverse magnetic field on mixed convection in wall plume of powerlaw fluids by rama subba reddy gorla jin kook lee shoichiro nakamura and ioan pop international journal of engineering science 31 1993 10351045 in the above paper the authors treat the boundary layer mixed convection flow of a powerlaw fluid along a vertical adiabatic surface in a transverse magnetic field with a steady thermal source at the leading edge the governing nonsimilar equations are solved by means of a novel finite difference scheme however there are two fundamental errors in this paper and the presented results do not have any practical value | [['comment', 'on', 'effects', 'of', 'transverse', 'magnetic', 'field', 'on', 'mixed', 'convection', 'in', 'wall', 'plume', 'of', 'powerlaw', 'fluids', 'by', 'rama', 'subba', 'reddy', 'gorla', 'jin', 'kook', 'lee', 'shoichiro', 'nakamura', 'and', 'ioan', 'pop', 'international', 'journal', 'of', 'engineering', 'science', '31', '1993', '10351045', 'in', 'the', 'above', 'paper', 'the', 'authors', 'treat', 'the', 'boundary', 'layer', 'mixed', 'convection', 'flow', 'of', 'a', 'powerlaw', 'fluid', 'along', 'a', 'vertical', 'adiabatic', 'surface', 'in', 'a', 'transverse', 'magnetic', 'field', 'with', 'a', 'steady', 'thermal', 'source', 'at', 'the', 'leading', 'edge', 'the', 'governing', 'nonsimilar', 'equations', 'are', 'solved', 'by', 'means', 'of', 'a', 'novel', 'finite', 'difference', 'scheme', 'however', 'there', 'are', 'two', 'fundamental', 'errors', 'in', 'this', 'paper', 'and', 'the', 'presented', 'results', 'do', 'not', 'have', 'any', 'practical', 'value']] | [-0.14804585679864862, 0.16861708511517032, -0.07406426524038165, 0.019784991732274083, -0.07244588212715913, -0.12769887883451234, 0.01805005723709982, 0.31495721962809275, -0.229453695836269, -0.32136909155518684, 0.08146140562569343, -0.22206143996886257, -0.09764838612918715, 0.1849186198923791, -0.07705189480482447, 0.041130143190616544, 0.03385135176860291, -0.05536712433925821, -0.02529234435517811, -0.20265344166178798, 0.3210122121082058, 0.012131207776301115, 0.2817616554664321, 0.0683663850198093, 0.06452982722627885, -0.04489268892155327, -0.0733224252166534, 0.0546659142845898, -0.1726811634448981, 0.04086237108488612, 0.22325308978087405, -0.00046742034316496944, 0.2814054999735604, -0.44631719090116834, -0.2539479448957351, 0.016160739802764456, 0.12359034698637365, 0.09566868089356469, -0.031933894093844645, -0.22150488271947624, 0.0452889465744996, -0.16558821660972842, -0.11768116178985649, 0.011584452529736226, 0.04416885173843396, 0.016622746748696036, -0.23039378151433199, 0.13332738778870373, 0.08543532926281824, 0.1258551844947257, -0.05684869550168514, -0.14434060444422428, -0.05766568424234402, 0.04998832998471787, 0.03637606326153827, 0.057747962956940666, 0.10860098015914843, -0.1414148385243183, -0.11864223249383199, 0.351559968885075, -0.0833453362947782, -0.18477366562679554, 0.15821205698930232, -0.1228468579068346, -0.09917467371425004, 0.12974261330639564, 0.17454851123061285, 0.08559897406313803, -0.1263217011215708, 0.11291245379128033, -0.05933739241208085, 0.11112984075794195, 0.14183590496049345, -0.07700938285210902, 0.18997756708232524, 0.12173116406046071, 0.015518839968350327, 0.09131312753227584, -0.07258804512517616, -0.0897052521066903, -0.31075886746380227, -0.16568390405691655, -0.16310873435746914, 0.03789124009665667, -0.0527052762406738, -0.19612759749576883, 0.3736218150459765, 0.10127670262280164, 0.10361784966651223, -0.03812850828201157, 0.25127229750047897, 0.09618278109983912, -0.021125179091558872, 0.17485947937713664, 0.2573937692236408, 0.1994459841432032, 0.19047758678534946, -0.22883516729999226, 0.017204874326266998, 0.09004718352796383] |
711.1016 | An On-the-fly Tableau-based Decision Procedure for PDL-Satisfiability | We present a tableau-based algorithm for deciding satisfiability for
propositional dynamic logic (PDL) which builds a finite rooted tree with
ancestor loops and passes extra information from children to parents to
separate good loops from bad loops during backtracking. It is easy to
implement, with potential for parallelisation, because it constructs a
pseudo-model ``on the fly'' by exploring each tableau branch independently. But
its worst-case behaviour is 2EXPTIME rather than EXPTIME. A prototype
implementation in the TWB (http://twb.rsise.anu.edu.au) is available.
| cs.LO | we present a tableaubased algorithm for deciding satisfiability for propositional dynamic logic pdl which builds a finite rooted tree with ancestor loops and passes extra information from children to parents to separate good loops from bad loops during backtracking it is easy to implement with potential for parallelisation because it constructs a pseudomodel on the fly by exploring each tableau branch independently but its worstcase behaviour is 2exptime rather than exptime a prototype implementation in the twb httptwbrsiseanueduau is available | [['we', 'present', 'a', 'tableaubased', 'algorithm', 'for', 'deciding', 'satisfiability', 'for', 'propositional', 'dynamic', 'logic', 'pdl', 'which', 'builds', 'a', 'finite', 'rooted', 'tree', 'with', 'ancestor', 'loops', 'and', 'passes', 'extra', 'information', 'from', 'children', 'to', 'parents', 'to', 'separate', 'good', 'loops', 'from', 'bad', 'loops', 'during', 'backtracking', 'it', 'is', 'easy', 'to', 'implement', 'with', 'potential', 'for', 'parallelisation', 'because', 'it', 'constructs', 'a', 'pseudomodel', 'on', 'the', 'fly', 'by', 'exploring', 'each', 'tableau', 'branch', 'independently', 'but', 'its', 'worstcase', 'behaviour', 'is', '2exptime', 'rather', 'than', 'exptime', 'a', 'prototype', 'implementation', 'in', 'the', 'twb', 'httptwbrsiseanueduau', 'is', 'available']] | [-0.09650561309088236, 0.1069776850233141, -0.10522621913025013, 0.11521634891575488, -0.21220371854276612, -0.2347350025919672, 0.18179696036251977, 0.42069904826199395, -0.2531189778842068, -0.32689776498442275, 0.11398639738744794, -0.25254337766613716, -0.0953383152731336, 0.1467566484098848, -0.09459163367939301, 0.036321133946050674, 0.11693228275562899, 0.08608728745140326, 0.004939609829587146, -0.24889019697618026, 0.22412346731513166, 0.04551355611795607, 0.22052284793701404, -0.006153846128234783, 0.12356696301736893, 0.04783988067617592, 0.01797609911031591, 0.01646844477344973, -0.02900202673836014, 0.07310011870681475, 0.29419108470663047, 0.24219377151427743, 0.2623253275747769, -0.41391877092134494, -0.1055824393645311, 0.0736274518377076, 0.14903990499293193, 0.12349288197658144, -0.01843617279948189, -0.25481251555566603, 0.07575986391673677, -0.14035751040463743, -0.07000387619392803, -0.05576679779765888, 0.06244889533338256, -0.0670107732503078, -0.26186055364087224, -0.07752164772066933, 0.07998492686937635, 0.09661784113790745, 0.03285206862850688, -0.14016778219061402, -0.004438967635043156, 0.09441114340622264, -0.0102084846704458, 0.06898210686780751, 0.1024950276582669, -0.09052239008582173, -0.19462129569206482, 0.32128920105214304, 0.021439846896660477, -0.14195738203871328, 0.19529364413271347, -0.07573454269470695, -0.17481259196304166, 0.14224293138473654, 0.09616267546348703, 0.1324494913674127, -0.14260108029851928, 0.1147637403896974, -0.01570309788131943, 0.20537230300788695, 0.11522221244656695, -0.04822236334737868, 0.1717144894795731, 0.22995446297602776, 0.056761688767717436, 0.21538414518372753, 0.04377069977673296, -0.1432875351001246, -0.27488026584092623, -0.15337938505511445, -0.11145925156485575, -0.05663641357125762, -0.09459109566131911, -0.24676660743828577, 0.36958546215334, 0.18313047554320058, 0.1639101859122419, 0.18095352344411927, 0.34839296783320606, 0.06483238907859255, 0.14043988461176363, 0.14897569856988505, 0.12146989544495367, 0.09417472991984911, 0.10267809091303019, -0.18721204709697467, 0.171383917128715, 0.12193312748292019] |
711.1017 | Optimizing quantum process tomography with unitary 2-designs | We show that weighted unitary 2-designs define optimal measurements on the
system-ancilla output state for ancilla-assisted process tomography of unital
quantum channels. Examples include complete sets of mutually unbiased
unitary-operator bases. Each of these specifies a minimal series of optimal
orthogonal measurements. General quantum channels are also considered.
| quant-ph | we show that weighted unitary 2designs define optimal measurements on the systemancilla output state for ancillaassisted process tomography of unital quantum channels examples include complete sets of mutually unbiased unitaryoperator bases each of these specifies a minimal series of optimal orthogonal measurements general quantum channels are also considered | [['we', 'show', 'that', 'weighted', 'unitary', '2designs', 'define', 'optimal', 'measurements', 'on', 'the', 'systemancilla', 'output', 'state', 'for', 'ancillaassisted', 'process', 'tomography', 'of', 'unital', 'quantum', 'channels', 'examples', 'include', 'complete', 'sets', 'of', 'mutually', 'unbiased', 'unitaryoperator', 'bases', 'each', 'of', 'these', 'specifies', 'a', 'minimal', 'series', 'of', 'optimal', 'orthogonal', 'measurements', 'general', 'quantum', 'channels', 'are', 'also', 'considered']] | [-0.15595048453975865, 0.1444231589780526, -0.0058585976577423355, 0.04316139830161967, 0.0037744759205490985, -0.22560967221618333, 0.08193691219500404, 0.3990724456417275, -0.27861910836493714, -0.13872764639041207, 0.09118884016185048, -0.29125555414468685, -0.12744991156332036, 0.22980043553608528, -0.08976305704167549, 0.15095393983845382, 0.14538604268764563, 0.04664829778584077, -0.10108761160951504, -0.27448812725537636, 0.33159131713290796, 0.02210330927962477, 0.3009660981912562, -0.0683750287788187, 0.1727253853224535, 0.06965050431206188, -0.092244161500972, -0.03900001269388706, -0.18647594280875948, 0.09301707184219614, 0.33774992466924036, 0.1817771832042552, 0.18481169228858135, -0.3979816657114536, -0.15059346325219947, 0.1687108403705853, 0.10496653448988466, 0.13258216958096686, 0.011111082100467955, -0.2505504783401464, 0.039787974931854514, -0.14297511226477774, -0.0326968671139726, -0.13710016169228612, -0.024793729770611575, -0.017579634792785695, -0.373418617240609, 0.06392366519789806, 0.0683294470134647, 0.05389142525877724, -0.04036825874503305, -0.12263966898404141, 0.025217134297448904, 0.15074345056324245, -0.16622134698418642, -0.06175530233242093, 0.14941433687729047, -0.016535971690207086, -0.26219050728894294, 0.27886460212237657, -0.014322771908754998, -0.2659996405164612, 0.09973338975551281, -0.1499517350853916, -0.12370951550002111, 0.07236657060306281, 0.15256989462439843, 0.11657860181591612, -0.15618082456924814, 0.08030159351356486, -0.12706392987611445, 0.1242798622499438, 0.05226013569676496, 0.16105246546980428, 0.13485428985664027, 0.01427726786425139, 0.13801771741201904, 0.19904460987829148, 0.03576782059501559, -0.12644371148347458, -0.39047597126757844, -0.18086331755794743, -0.17787684698371178, 0.0967962473700259, -0.10830363773919166, -0.18870676991014562, 0.3677189490024714, 0.08566785338235662, 0.16826883646005647, 0.039493352036051296, 0.27216053248303845, 0.07057383491538782, 0.007239835614219625, 0.0711275543423092, 0.18111444264650345, 0.22848295000322322, -0.07748450113935991, -0.17922688750649227, 0.037430683240056675, 0.04264805055758421] |
711.1018 | Average Density of States in Disordered Graphene systems | In this paper, the average density of states (ADOS) with a binary alloy
disorder in disordered graphene systems are calculated based on the recursion
method. We observe an obvious resonant peak caused by interactions with
surrounding impurities and an anti-resonance dip in ADOS curves near the Dirac
point. We also find that the resonance energy (Er) and the dip position are
sensitive to the concentration of disorders (x) and their on-site potentials
(v). An linear relation, not only holds when the impurity concentration is low
but this relation can be further extended to high impurity concentration regime
with certain constraints. We also calculate the ADOS with a finite density of
vacancies and compare our results with the previous theoretical results.
| cond-mat.mes-hall | in this paper the average density of states ados with a binary alloy disorder in disordered graphene systems are calculated based on the recursion method we observe an obvious resonant peak caused by interactions with surrounding impurities and an antiresonance dip in ados curves near the dirac point we also find that the resonance energy er and the dip position are sensitive to the concentration of disorders x and their onsite potentials v an linear relation not only holds when the impurity concentration is low but this relation can be further extended to high impurity concentration regime with certain constraints we also calculate the ados with a finite density of vacancies and compare our results with the previous theoretical results | [['in', 'this', 'paper', 'the', 'average', 'density', 'of', 'states', 'ados', 'with', 'a', 'binary', 'alloy', 'disorder', 'in', 'disordered', 'graphene', 'systems', 'are', 'calculated', 'based', 'on', 'the', 'recursion', 'method', 'we', 'observe', 'an', 'obvious', 'resonant', 'peak', 'caused', 'by', 'interactions', 'with', 'surrounding', 'impurities', 'and', 'an', 'antiresonance', 'dip', 'in', 'ados', 'curves', 'near', 'the', 'dirac', 'point', 'we', 'also', 'find', 'that', 'the', 'resonance', 'energy', 'er', 'and', 'the', 'dip', 'position', 'are', 'sensitive', 'to', 'the', 'concentration', 'of', 'disorders', 'x', 'and', 'their', 'onsite', 'potentials', 'v', 'an', 'linear', 'relation', 'not', 'only', 'holds', 'when', 'the', 'impurity', 'concentration', 'is', 'low', 'but', 'this', 'relation', 'can', 'be', 'further', 'extended', 'to', 'high', 'impurity', 'concentration', 'regime', 'with', 'certain', 'constraints', 'we', 'also', 'calculate', 'the', 'ados', 'with', 'a', 'finite', 'density', 'of', 'vacancies', 'and', 'compare', 'our', 'results', 'with', 'the', 'previous', 'theoretical', 'results']] | [-0.12501580565197704, 0.16172169477880136, -0.06613013432991768, 0.07373333202267532, -0.0028789881248182307, -0.16856864924387385, 0.08920030853963302, 0.4004121169447899, -0.2508942638679097, -0.28661834967012206, 0.016892827376917316, -0.35042647750427325, -0.15046046927260856, 0.14434799552739908, -0.029552731205088396, 0.0014103904327688118, 0.030306056917955477, 0.03276466717167447, -0.12529092379651655, -0.24010434156128516, 0.3140564888715744, 0.05525221996940673, 0.2798484461032785, 0.13671258771404002, 0.0060325721666837735, 0.04913622659126607, 0.08199293436094497, 0.040368366381153466, -0.11612762129158606, 0.07787190089778354, 0.22921091554065545, -0.03705041058904802, 0.19390852431145808, -0.4201280366939803, -0.20142726102785674, 0.06947228498368835, 0.1474117030855268, 0.13566979606791088, -0.09219401603428802, -0.29163023463624993, 0.06899950353739162, -0.1399101303521699, -0.16133718106041972, -0.043449986780372755, 0.02948209468352919, 0.06326217819781353, -0.2521521442065326, 0.13038486809188424, 0.06941955423293014, 0.05876825024800685, -0.10775827218506796, -0.10414912288930887, -0.07074344241215537, 0.053773685858323005, 0.018942564968407776, 0.02210321028251201, 0.156312000444935, -0.10508395849513666, -0.060601209066226146, 0.3379861770401476, -0.09313541148245956, -0.13656767229937639, 0.19120415287907236, -0.1912625674100127, -0.10317765452394573, 0.12484733428257945, 0.11952093421326329, 0.08881362995210414, -0.1287127433098552, 0.07415024165165959, -0.006959747162181884, 0.18778483569937332, 0.03661099919894089, 0.050272704218514264, 0.19330447870306672, 0.12944261412097452, 0.06605363248381764, 0.125686508413249, -0.1376542475676009, -0.02635962259179602, -0.2568482257813836, -0.13132799045706633, -0.18960574679464723, 0.017312959975606647, -0.10349329408054472, -0.180156163762634, 0.3678079374212151, 0.1451156569062732, 0.2455855039258798, 0.020048088050680236, 0.21107629348601525, 0.21336180798728796, 0.03573333365881505, 0.04897637822820495, 0.23437146500412684, 0.16068889055750332, 0.08367365430264423, -0.26528497124866895, 0.04405948616719494, -0.006695551724017908] |
711.1019 | Discovery of Polarization Reverberation in NGC 4151 | Observations of the optical polarization of NGC 4151 in 1997-2003 show
variations of an order of magnitude in the polarized flux while the
polarization position angle remains constant. The amplitude of variability of
the polarized flux is comparable to the amplitude of variability of the total
U-band flux, except that the polarized flux follows the total flux with a lag
of 8 +/- 3 days. The time lag and the constancy of the position angle strongly
favor a scattering origin for the variable polarization rather than a
non-thermal synchrotron origin. The orientation of the position angle of the
polarized flux (parallel to the radio axis) and the size of the lag imply that
the polarization arises from electron scattering in a flattened region within
the low-ionization component of the broad-line-region. Polarization from dust
scattering in the equatorial torus is ruled out as the source of the lag in
polarized flux because it would produce a larger lag and, unless the
half-opening angle of the torus is more than 53 degrees, the polarization would
be perpendicular to the radio axis. We note a long-term change in the
percentage of polarization at similar total flux levels and this could be due
either to changing non-axisymmetry in the optical continuum emission, or a
change in the number of scatterers on a timescale of years.
| astro-ph | observations of the optical polarization of ngc 4151 in 19972003 show variations of an order of magnitude in the polarized flux while the polarization position angle remains constant the amplitude of variability of the polarized flux is comparable to the amplitude of variability of the total uband flux except that the polarized flux follows the total flux with a lag of 8 3 days the time lag and the constancy of the position angle strongly favor a scattering origin for the variable polarization rather than a nonthermal synchrotron origin the orientation of the position angle of the polarized flux parallel to the radio axis and the size of the lag imply that the polarization arises from electron scattering in a flattened region within the lowionization component of the broadlineregion polarization from dust scattering in the equatorial torus is ruled out as the source of the lag in polarized flux because it would produce a larger lag and unless the halfopening angle of the torus is more than 53 degrees the polarization would be perpendicular to the radio axis we note a longterm change in the percentage of polarization at similar total flux levels and this could be due either to changing nonaxisymmetry in the optical continuum emission or a change in the number of scatterers on a timescale of years | [['observations', 'of', 'the', 'optical', 'polarization', 'of', 'ngc', '4151', 'in', '19972003', 'show', 'variations', 'of', 'an', 'order', 'of', 'magnitude', 'in', 'the', 'polarized', 'flux', 'while', 'the', 'polarization', 'position', 'angle', 'remains', 'constant', 'the', 'amplitude', 'of', 'variability', 'of', 'the', 'polarized', 'flux', 'is', 'comparable', 'to', 'the', 'amplitude', 'of', 'variability', 'of', 'the', 'total', 'uband', 'flux', 'except', 'that', 'the', 'polarized', 'flux', 'follows', 'the', 'total', 'flux', 'with', 'a', 'lag', 'of', '8', '3', 'days', 'the', 'time', 'lag', 'and', 'the', 'constancy', 'of', 'the', 'position', 'angle', 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711.102 | Electronic structure of PrCoO_3 and its temperature evolution | We investigate the detailed electronic structure of PrCoO$_3$ and its
temperature evolution using state-of-the-art photoemission spectroscopy and ab
initio band structure calculations. We observe that in addition to the
correlation effect, spin-orbit interaction plays an important role in
determining the electronic properties of this system. Pr 4$f$ states are found
to be strongly hybridized with the O 2$p$ and Co 3$d$ valence electronic
states, and thus influences the electronic properties significantly. The
calculated results corresponding to the intermediate spin state of Co provide a
good description of the experimental spectra at 300 K. The decrease in
temperature from 300 K leads to a gradual enhancement of the low spin state
contributions in the electronic structure. The temperature evolution of the
band gap is found to be consistent with the transport data.
| cond-mat.str-el | we investigate the detailed electronic structure of prcoo_3 and its temperature evolution using stateoftheart photoemission spectroscopy and ab initio band structure calculations we observe that in addition to the correlation effect spinorbit interaction plays an important role in determining the electronic properties of this system pr 4f states are found to be strongly hybridized with the o 2p and co 3d valence electronic states and thus influences the electronic properties significantly the calculated results corresponding to the intermediate spin state of co provide a good description of the experimental spectra at 300 k the decrease in temperature from 300 k leads to a gradual enhancement of the low spin state contributions in the electronic structure the temperature evolution of the band gap is found to be consistent with the transport data | [['we', 'investigate', 'the', 'detailed', 'electronic', 'structure', 'of', 'prcoo_3', 'and', 'its', 'temperature', 'evolution', 'using', 'stateoftheart', 'photoemission', 'spectroscopy', 'and', 'ab', 'initio', 'band', 'structure', 'calculations', 'we', 'observe', 'that', 'in', 'addition', 'to', 'the', 'correlation', 'effect', 'spinorbit', 'interaction', 'plays', 'an', 'important', 'role', 'in', 'determining', 'the', 'electronic', 'properties', 'of', 'this', 'system', 'pr', '4f', 'states', 'are', 'found', 'to', 'be', 'strongly', 'hybridized', 'with', 'the', 'o', '2p', 'and', 'co', '3d', 'valence', 'electronic', 'states', 'and', 'thus', 'influences', 'the', 'electronic', 'properties', 'significantly', 'the', 'calculated', 'results', 'corresponding', 'to', 'the', 'intermediate', 'spin', 'state', 'of', 'co', 'provide', 'a', 'good', 'description', 'of', 'the', 'experimental', 'spectra', 'at', '300', 'k', 'the', 'decrease', 'in', 'temperature', 'from', '300', 'k', 'leads', 'to', 'a', 'gradual', 'enhancement', 'of', 'the', 'low', 'spin', 'state', 'contributions', 'in', 'the', 'electronic', 'structure', 'the', 'temperature', 'evolution', 'of', 'the', 'band', 'gap', 'is', 'found', 'to', 'be', 'consistent', 'with', 'the', 'transport', 'data']] | [-0.12132702738345238, 0.13604656701744444, -0.05909963699505586, 0.04657759147390496, -0.001862426645669887, -0.06626480800021468, 0.08096985593491468, 0.4051288131425399, -0.2907352788082345, -0.3409937538690012, -0.021838423827990092, -0.35176763608909517, -0.09693408325289639, 0.12947722882892623, 0.10873154761227033, -0.018641310684002568, 0.05174101054072909, -0.030265366722330208, -0.15539692147307893, -0.15772613027588045, 0.30606477573080315, 0.10868780681763897, 0.2823721021893683, 0.13398645977838008, -0.01686621280227084, -0.005952036052672121, 0.06746876599331109, 0.00807379684873096, -0.1353500792244027, 0.10061900389028841, 0.2742941938540614, -0.03211452921795595, 0.19249355544705826, -0.44515752246717116, -0.1797621576542049, -0.031110912831571264, 0.10265616045639146, 0.13102073296335817, -0.05146001521071405, -0.23914707524573986, 0.056851172201221684, -0.14576537887750635, -0.13424732268766593, -0.11160596110813589, 0.006307200422041289, -0.039571034786014155, -0.23422231162917792, 0.09851916927758975, 0.020258407945609617, 0.09300168406857907, -0.14524659232986478, -0.16631660303580822, -0.1280153953001074, 0.10918586990860013, -0.0032831404308383246, 0.057994459412693405, 0.14879071578838443, -0.11598447968611024, -0.08591833676501241, 0.39062876025399634, -0.09558045219111022, -0.0622839163633362, 0.18903258640162704, -0.20108899455659718, -0.09111763369860768, 0.1886209792862753, 0.1042428589639261, 0.08668653220529242, -0.09740938731950871, 0.0790994674971999, 0.013593096023013118, 0.21894117793999612, -0.026906671980040448, 0.13762678359884, 0.2089663307957408, 0.1670067959735241, 0.005413915464327536, 0.12111800801335969, -0.15560294415371648, -0.05648044164946573, -0.18241643881467917, -0.17116118046874537, -0.17734622636824163, 0.06484458580940165, -0.05356835834068808, -0.16207319550671195, 0.43952021016988135, 0.13684124059491712, 0.21129733504761253, -0.06864660014291755, 0.2178173076347199, 0.11796230544471217, 0.0340466167784886, 0.06292912850284395, 0.27101286567475663, 0.18968153099408586, 0.10415905632277708, -0.3720165260850615, 0.10013278917309949, -0.027714079580063583] |
711.1021 | Paraelectric-to-ferroelectric crossover and electron dynamics from
time-dependent Hartree-Fock calculations | In recent years, researchers have discovered various excited states of
electrons having an excited domain with a structural order different from the
original one. We examine a dynamics of electron system and phonon system by
using the time-dependent Hartree-Fock approximation. We examine time evolution
with spin degree of freedom. We found a thermally excited
paraelectric-to-ferroelectric crossover. The metastable state is spin pierls
state. We also examine the Landau expansion of electron system at
quarter-filled.
| cond-mat.str-el cond-mat.mtrl-sci | in recent years researchers have discovered various excited states of electrons having an excited domain with a structural order different from the original one we examine a dynamics of electron system and phonon system by using the timedependent hartreefock approximation we examine time evolution with spin degree of freedom we found a thermally excited paraelectrictoferroelectric crossover the metastable state is spin pierls state we also examine the landau expansion of electron system at quarterfilled | [['in', 'recent', 'years', 'researchers', 'have', 'discovered', 'various', 'excited', 'states', 'of', 'electrons', 'having', 'an', 'excited', 'domain', 'with', 'a', 'structural', 'order', 'different', 'from', 'the', 'original', 'one', 'we', 'examine', 'a', 'dynamics', 'of', 'electron', 'system', 'and', 'phonon', 'system', 'by', 'using', 'the', 'timedependent', 'hartreefock', 'approximation', 'we', 'examine', 'time', 'evolution', 'with', 'spin', 'degree', 'of', 'freedom', 'we', 'found', 'a', 'thermally', 'excited', 'paraelectrictoferroelectric', 'crossover', 'the', 'metastable', 'state', 'is', 'spin', 'pierls', 'state', 'we', 'also', 'examine', 'the', 'landau', 'expansion', 'of', 'electron', 'system', 'at', 'quarterfilled']] | [-0.15464632916781637, 0.221316632137435, -0.0726670444645505, 0.04395338404800794, 0.03490924949033393, -0.1134752565024731, 0.04728985668690358, 0.35996202495880425, -0.2567204654527207, -0.2871277679740969, 0.024069622092712153, -0.3281548197070758, -0.06782831336992483, 0.08797712538701792, 0.09307051418970029, 0.03873071546614584, 0.041168625916018046, 0.004149234902191286, -0.08035545176567717, -0.19683085198307204, 0.3409459229506966, 0.015623902235852761, 0.24462431353620356, 0.02826653818030738, 0.09653541199966437, 0.011711531742346577, 0.09710898214446691, -0.02084653141597907, -0.17032402037875727, 0.06721063358175645, 0.21624940037792031, -0.002659821468922827, 0.27407896435923046, -0.4793247202049113, -0.2295143217391645, 0.004013414455888172, 0.1497512557964203, 0.22938556180128622, -0.039714631037592575, -0.31602540697592, -0.025382240225250523, -0.21475812340557038, -0.1854723236950425, -0.12436624903703988, 0.0018972278598489033, -0.013577398507752352, -0.1931107888619105, 0.11220989533750172, 0.003760606147504101, 0.06118882482405752, -0.09834446485102591, -0.11894935175627729, -0.04924569824975657, 0.07481492354094775, 0.05164532448462625, 0.029221933380338468, 0.13179365783515903, -0.10363843872781014, -0.14466042930143885, 0.33585653379042113, -0.08863383131716142, -0.1260310148095919, 0.21855839816594702, -0.20999172700491422, -0.09202793136420143, 0.15801647260862714, 0.14759850752953854, 0.1265107410565381, -0.14353011024650186, 0.07133413701780632, -0.011532986471946869, 0.19172461134924865, 0.04888282623142004, 0.08685810716512303, 0.21073557550941283, 0.1882683953178154, 0.00017867147107608616, 0.18078438862640825, -0.12170766985380194, -0.1162049104200883, -0.19449227864647078, -0.12910202865411216, -0.20631735048825955, 0.08399771005173938, -0.0026962002155212555, -0.11267790134944436, 0.5012773539896848, 0.10368474477016004, 0.12563057355065313, -0.06399208158513324, 0.22045632795682954, 0.17320795762093943, -0.018885594104681838, 0.08183887751591909, 0.24346923461416736, 0.14782603940370287, 0.09108708216808736, -0.3187482288113743, 0.034450698580864504, 0.03265821658230076] |
711.1022 | Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds | In this paper, we study the solvmanifolds constructed from any parabolic
subalgebras of any semisimple Lie algebras. These solvmanifolds are naturally
homogeneous submanifolds of symmetric spaces of noncompact type. We show that
the Ricci curvatures of our solvmanifolds coincide with the restrictions of the
Ricci curvatures of the ambient symmetric spaces. Consequently, all of our
solvmanifolds are Einstein, which provide a large number of new examples of
noncompact homogeneous Einstein manifolds. We also show that our solvmanifolds
are minimal, but not totally geodesic submanifolds of symmetric spaces.
| math.DG | in this paper we study the solvmanifolds constructed from any parabolic subalgebras of any semisimple lie algebras these solvmanifolds are naturally homogeneous submanifolds of symmetric spaces of noncompact type we show that the ricci curvatures of our solvmanifolds coincide with the restrictions of the ricci curvatures of the ambient symmetric spaces consequently all of our solvmanifolds are einstein which provide a large number of new examples of noncompact homogeneous einstein manifolds we also show that our solvmanifolds are minimal but not totally geodesic submanifolds of symmetric spaces | [['in', 'this', 'paper', 'we', 'study', 'the', 'solvmanifolds', 'constructed', 'from', 'any', 'parabolic', 'subalgebras', 'of', 'any', 'semisimple', 'lie', 'algebras', 'these', 'solvmanifolds', 'are', 'naturally', 'homogeneous', 'submanifolds', 'of', 'symmetric', 'spaces', 'of', 'noncompact', 'type', 'we', 'show', 'that', 'the', 'ricci', 'curvatures', 'of', 'our', 'solvmanifolds', 'coincide', 'with', 'the', 'restrictions', 'of', 'the', 'ricci', 'curvatures', 'of', 'the', 'ambient', 'symmetric', 'spaces', 'consequently', 'all', 'of', 'our', 'solvmanifolds', 'are', 'einstein', 'which', 'provide', 'a', 'large', 'number', 'of', 'new', 'examples', 'of', 'noncompact', 'homogeneous', 'einstein', 'manifolds', 'we', 'also', 'show', 'that', 'our', 'solvmanifolds', 'are', 'minimal', 'but', 'not', 'totally', 'geodesic', 'submanifolds', 'of', 'symmetric', 'spaces']] | [-0.2394318058952989, 0.08853321565293717, -0.0476165314943626, 0.10323551101155108, -0.19978117287137556, -0.1508894630215377, -0.14779987583209858, 0.4008999848176308, -0.19968478000540843, -0.17667019808258133, 0.1647507679506858, -0.24130349420546288, -0.1735151936514196, 0.18343099962448936, -0.16514169644221835, -0.059414593213847997, 0.09161570347074804, 0.11075603199524581, -0.16508100628745795, -0.3721448644345369, 0.5822902987229412, -0.08143667705710335, 0.20126113761216402, 0.05610413694668604, 0.10945125131706585, -0.09668820265188129, 0.000991942061261199, 0.05284990388605658, -0.18176304413645994, 0.15586702705724914, 0.27827947569647055, 0.03343382527002658, 0.14400654050639305, -0.36595719273405514, -0.20060752535602827, 0.2722412083811801, 0.11953166413024582, 0.03261490989792236, -0.03778170067388779, -0.3687561023766282, 0.07467941525017564, -0.11398508847187991, -0.20766976368533255, -0.12227616213454769, -0.0223994970792669, 0.04775875203857391, -0.14915597305536785, 0.041796941895923714, 0.13842813422282538, 0.08259618644945152, -0.16698281798543857, -0.09970411706458905, -0.10823770112293804, 0.039693150674688746, -0.00651033395023524, -0.047290108340588964, 0.08366156374800136, 0.009865872339805824, -0.12399859589406814, 0.3720804585208153, -0.06020492593618645, -0.31793664312311287, 0.11268976812475714, -0.18237395508578796, -0.17351815052030758, 0.12693523860739908, 0.13505226705523057, 0.22859875413578476, -0.07085877640344117, 0.1981108472950157, -0.12045809598211413, -0.01042162349458313, 0.09985736740924332, -0.004016764258601885, 0.1175608664815282, 0.04165466197220416, 0.11705657501501598, 0.10484032983752503, 0.08585564913121106, -0.04636225861232278, -0.431121539024786, -0.22806564968978538, -0.08326410788148855, 0.19782131030669184, -0.21623023926954846, -0.2180731593920239, 0.3663443399957199, 0.01891010344007063, 0.162485265997292, 0.1988774412217946, 0.18690351969508948, -0.062157042101079106, 0.09410477005716028, 0.14484642178252413, 0.23601867434643636, 0.23571604619808922, 0.006417228306386748, -0.09442132394613656, -0.1690115289248783, 0.1569456472489769] |
711.1023 | CoHochschild homology of chain coalgebras | Generalizing work of Doi and of Idrissi, we define a coHochschild homology
theory for chain coalgebras over any commutative ring and prove its naturality
with respect to morphisms of chain coalgebras up to strong homotopy. As a
consequence we obtain that if the comultiplication of a chain coalgebra $C$ is
itself a morphism of chain coalgebras up to strong homotopy, then the
coHochschild complex $\cohoch (C)$ admits a natural comultiplicative structure.
In particular, if $K$ is a reduced simplicial set and $C_{*}K$ is its
normalized chain complex, then $\cohoch (C_{*}K)$ is naturally a
homotopy-coassociative chain coalgebra. We provide a simple, explicit formula
for the comultiplication on $\cohoch (C_{*}K)$ when $K$ is a simplicial
suspension.
The coHochschild complex construction is topologically relevant. Given two
simplicial maps $g,h:K\to L$, where $K$ and $L$ are reduced, the homology of
the coHochschild complex of $C_{*}L$ with coefficients in $C_{*}K$ is
isomorphic to the homology of the homotopy coincidence space of the geometric
realizations of $g$ and $h$, and this isomorphism respects comultiplicative
structure. In particular, there a isomorphism, respecting comultiplicative
structure, from the homology of $\cohoch(C_{*}K)$ to $H_{*}\op L|K|$, the
homology of the free loops on the geometric realization of $K$.
| math.AT | generalizing work of doi and of idrissi we define a cohochschild homology theory for chain coalgebras over any commutative ring and prove its naturality with respect to morphisms of chain coalgebras up to strong homotopy as a consequence we obtain that if the comultiplication of a chain coalgebra c is itself a morphism of chain coalgebras up to strong homotopy then the cohochschild complex cohoch c admits a natural comultiplicative structure in particular if k is a reduced simplicial set and c_k is its normalized chain complex then cohoch c_k is naturally a homotopycoassociative chain coalgebra we provide a simple explicit formula for the comultiplication on cohoch c_k when k is a simplicial suspension the cohochschild complex construction is topologically relevant given two simplicial maps ghkto l where k and l are reduced the homology of the cohochschild complex of c_l with coefficients in c_k is isomorphic to the homology of the homotopy coincidence space of the geometric realizations of g and h and this isomorphism respects comultiplicative structure in particular there a isomorphism respecting comultiplicative structure from the homology of cohochc_k to h_op lk the homology of the free loops on the geometric realization of k | [['generalizing', 'work', 'of', 'doi', 'and', 'of', 'idrissi', 'we', 'define', 'a', 'cohochschild', 'homology', 'theory', 'for', 'chain', 'coalgebras', 'over', 'any', 'commutative', 'ring', 'and', 'prove', 'its', 'naturality', 'with', 'respect', 'to', 'morphisms', 'of', 'chain', 'coalgebras', 'up', 'to', 'strong', 'homotopy', 'as', 'a', 'consequence', 'we', 'obtain', 'that', 'if', 'the', 'comultiplication', 'of', 'a', 'chain', 'coalgebra', 'c', 'is', 'itself', 'a', 'morphism', 'of', 'chain', 'coalgebras', 'up', 'to', 'strong', 'homotopy', 'then', 'the', 'cohochschild', 'complex', 'cohoch', 'c', 'admits', 'a', 'natural', 'comultiplicative', 'structure', 'in', 'particular', 'if', 'k', 'is', 'a', 'reduced', 'simplicial', 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711.1024 | Tuning the effective coupling of an AFM lever to a thermal bath | Fabrication of Nano-Electro-Mechanical-Systems (NEMS) of high quality is
nowadays extremely efficient. These NEMS will be used as sensors and actuators
in integrated systems. Their use however raises questions about their interface
(actuation, detection, read out) with external detection and control systems.
Their operation implies many fundamental questions related to single particle
effects such as Coulomb blockade, light matter interactions such as radiation
pressure, thermal effects, Casimir forces and the coupling of nanosystems to
external world (thermal fluctuations, back action effect). Here we specifically
present how the damping of an oscillating cantilever can be tuned in two
radically different ways: i) through an electro-mechanical coupling in the
presence of a strong Johnson noise, ii) through an external feedback control of
thermal fluctuations which is the cold damping closely related to Maxwell's
demon. This shows how the interplay between MEMS or NEMS external control and
their coupling to a thermal bath can lead to a wealth of effects that are
nowadays extensively studied in different areas.
| cond-mat.mtrl-sci | fabrication of nanoelectromechanicalsystems nems of high quality is nowadays extremely efficient these nems will be used as sensors and actuators in integrated systems their use however raises questions about their interface actuation detection read out with external detection and control systems their operation implies many fundamental questions related to single particle effects such as coulomb blockade light matter interactions such as radiation pressure thermal effects casimir forces and the coupling of nanosystems to external world thermal fluctuations back action effect here we specifically present how the damping of an oscillating cantilever can be tuned in two radically different ways i through an electromechanical coupling in the presence of a strong johnson noise ii through an external feedback control of thermal fluctuations which is the cold damping closely related to maxwells demon this shows how the interplay between mems or nems external control and their coupling to a thermal bath can lead to a wealth of effects that are nowadays extensively studied in different areas | [['fabrication', 'of', 'nanoelectromechanicalsystems', 'nems', 'of', 'high', 'quality', 'is', 'nowadays', 'extremely', 'efficient', 'these', 'nems', 'will', 'be', 'used', 'as', 'sensors', 'and', 'actuators', 'in', 'integrated', 'systems', 'their', 'use', 'however', 'raises', 'questions', 'about', 'their', 'interface', 'actuation', 'detection', 'read', 'out', 'with', 'external', 'detection', 'and', 'control', 'systems', 'their', 'operation', 'implies', 'many', 'fundamental', 'questions', 'related', 'to', 'single', 'particle', 'effects', 'such', 'as', 'coulomb', 'blockade', 'light', 'matter', 'interactions', 'such', 'as', 'radiation', 'pressure', 'thermal', 'effects', 'casimir', 'forces', 'and', 'the', 'coupling', 'of', 'nanosystems', 'to', 'external', 'world', 'thermal', 'fluctuations', 'back', 'action', 'effect', 'here', 'we', 'specifically', 'present', 'how', 'the', 'damping', 'of', 'an', 'oscillating', 'cantilever', 'can', 'be', 'tuned', 'in', 'two', 'radically', 'different', 'ways', 'i', 'through', 'an', 'electromechanical', 'coupling', 'in', 'the', 'presence', 'of', 'a', 'strong', 'johnson', 'noise', 'ii', 'through', 'an', 'external', 'feedback', 'control', 'of', 'thermal', 'fluctuations', 'which', 'is', 'the', 'cold', 'damping', 'closely', 'related', 'to', 'maxwells', 'demon', 'this', 'shows', 'how', 'the', 'interplay', 'between', 'mems', 'or', 'nems', 'external', 'control', 'and', 'their', 'coupling', 'to', 'a', 'thermal', 'bath', 'can', 'lead', 'to', 'a', 'wealth', 'of', 'effects', 'that', 'are', 'nowadays', 'extensively', 'studied', 'in', 'different', 'areas']] | [-0.1668760924360092, 0.20637037283610596, -0.06804482589368323, 0.019853928112824864, -0.10143231418543706, -0.17414122066557683, 0.012780412838742868, 0.37809582927658514, -0.3244753826660978, -0.3575896596524613, 0.07961191455305103, -0.2828896524401759, -0.14388947027301177, 0.23937992013039558, -0.07508574205913518, 0.045012945166440464, 0.0011194538227939533, -0.03063474557408206, 0.02205313525899696, -0.19088382560594086, 0.26427236976147706, 0.08583515030231921, 0.2899891364022495, 0.0949051285682509, 0.09990409477413889, -0.023137158117159926, 0.03478934501363479, 0.03718711191465495, -0.0758321982834926, 0.06660121439333343, 0.26134848530101445, -0.0067810534979531, 0.29667778701687153, -0.4953585324888946, -0.21014262512440512, 0.06692492482652374, 0.14271565301892308, 0.12660758627187232, -0.08189338234258942, -0.27202417190112405, -0.015438528528631283, -0.16947309608839772, -0.10730966649081078, -0.09862198055567552, 0.026491193072241875, 0.033369631679842277, -0.22599658923669277, 0.046014340720110875, 0.043165262911377324, 0.04231184326466516, -0.05756235671546767, -0.05296109823447201, -0.006510039360085331, 0.1597762940654337, 0.023974153727430142, -0.04708607753730191, 0.3039886803349103, -0.1754797551805222, -0.12090751451962953, 0.3902866024112592, -0.06136685800367246, -0.19360609957662644, 0.2429125015095356, -0.08709957934858883, -0.061823481773854765, 0.07780074265191297, 0.19853734149900407, 0.0549872208349521, -0.20646264190939856, 0.029543410068195015, 0.08722368145555806, 0.17777789442691427, 0.07575899840938213, 0.10511777142314183, 0.2760864153955749, 0.16372760457266694, 0.027669712459379978, 0.15980375236960162, -0.042654988183097146, -0.05342518877055199, -0.24617951867267765, -0.10305028739156762, -0.13869641640829208, 0.1063738857378806, -0.06420758303413396, -0.17659945520886614, 0.3342059819605216, 0.2227927939337821, 0.12890106761982334, -0.08031745906419298, 0.33789592114008643, 0.11156411717311576, 0.06665685498355631, -0.00365823447315788, 0.32875222358795486, 0.15958744618024653, 0.12417644351446555, -0.3054700294406685, 0.03215519019739668, -0.06671970346485454] |
711.1025 | NGC 5548: The AGN Energy Budget Problem and the Geometry of the
Broad-Line Region and Torus | We consider in detail the spectral energy distribution (SED) and
multi-wavelength variability of NGC5548. Comparison with the SEDs of other AGNs
implies that the internal reddening of NGC5548 is E(B-V) = 0.17 mag. The
extinction curve is consistent with the mean curve of other AGNs found by
Gaskell & Benker, but inconsistent with an SMC-type reddening curve. Because
most IR emission originates exterior to the broad-line region (BLR), the SED
seen by the inner BLR is different from that seen by the outer BLR and from the
earth. The most likely BLR covering factor is ~ 40% and it is not possible to
get an overall BLR covering factor of less than 20%. This requires that the BLR
is not spherically symmetric and that we are viewing through a hole.
Line-continuum variability transfer functions are consistent with this
geometry. The covering factor and geometry imply that near the equatorial plane
the BLR covering approaches 100%. The spectrum seen by the outer regions of the
BLR and by the torus is thus modified by the absorption in the inner BLR. This
shielding solves the problem of observed BLR ionization stratification being
much greater than implied by photoionization models. The BLR obscuration also
removes the problem of the torus covering factor being greater than the BLR
covering factor, and gives consistency with the observed fraction of obscured
AGNs. The flux reduction at the torus also reduces the problem of AGN
dust-reverberation lags giving sizes smaller than the dust-sublimation radii.
| astro-ph | we consider in detail the spectral energy distribution sed and multiwavelength variability of ngc5548 comparison with the seds of other agns implies that the internal reddening of ngc5548 is ebv 017 mag the extinction curve is consistent with the mean curve of other agns found by gaskell benker but inconsistent with an smctype reddening curve because most ir emission originates exterior to the broadline region blr the sed seen by the inner blr is different from that seen by the outer blr and from the earth the most likely blr covering factor is 40 and it is not possible to get an overall blr covering factor of less than 20 this requires that the blr is not spherically symmetric and that we are viewing through a hole linecontinuum variability transfer functions are consistent with this geometry the covering factor and geometry imply that near the equatorial plane the blr covering approaches 100 the spectrum seen by the outer regions of the blr and by the torus is thus modified by the absorption in the inner blr this shielding solves the problem of observed blr ionization stratification being much greater than implied by photoionization models the blr obscuration also removes the problem of the torus covering factor being greater than the blr covering factor and gives consistency with the observed fraction of obscured agns the flux reduction at the torus also reduces the problem of agn dustreverberation lags giving sizes smaller than the dustsublimation radii | [['we', 'consider', 'in', 'detail', 'the', 'spectral', 'energy', 'distribution', 'sed', 'and', 'multiwavelength', 'variability', 'of', 'ngc5548', 'comparison', 'with', 'the', 'seds', 'of', 'other', 'agns', 'implies', 'that', 'the', 'internal', 'reddening', 'of', 'ngc5548', 'is', 'ebv', '017', 'mag', 'the', 'extinction', 'curve', 'is', 'consistent', 'with', 'the', 'mean', 'curve', 'of', 'other', 'agns', 'found', 'by', 'gaskell', 'benker', 'but', 'inconsistent', 'with', 'an', 'smctype', 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711.1026 | Finite subsets of projective space, and their ideals | Let $\mathscr{A}$ be a finite set of closed rational points in projective
space, let $\mathscr{I}$ be the vanishing ideal of $\mathscr{A}$, and let
$\mathscr{D}(\mathscr{A})$ be the set of exponents of those monomials which do
not occur as leading monomials of elements of $\mathscr{I}$. We show that the
size of $\mathscr{A}$ equals the number of axes contained in
$\mathscr{D}(\mathscr{A})$. Furthermore, we present an algorithm for the
construction of the Gr\"obner basis of $\mathscr{I}(\mathscr{A})$, hence also
of $\mathscr{D}(\mathscr{A})$.
| math.AC | let mathscra be a finite set of closed rational points in projective space let mathscri be the vanishing ideal of mathscra and let mathscrdmathscra be the set of exponents of those monomials which do not occur as leading monomials of elements of mathscri we show that the size of mathscra equals the number of axes contained in mathscrdmathscra furthermore we present an algorithm for the construction of the grobner basis of mathscrimathscra hence also of mathscrdmathscra | [['let', 'mathscra', 'be', 'a', 'finite', 'set', 'of', 'closed', 'rational', 'points', 'in', 'projective', 'space', 'let', 'mathscri', 'be', 'the', 'vanishing', 'ideal', 'of', 'mathscra', 'and', 'let', 'mathscrdmathscra', 'be', 'the', 'set', 'of', 'exponents', 'of', 'those', 'monomials', 'which', 'do', 'not', 'occur', 'as', 'leading', 'monomials', 'of', 'elements', 'of', 'mathscri', 'we', 'show', 'that', 'the', 'size', 'of', 'mathscra', 'equals', 'the', 'number', 'of', 'axes', 'contained', 'in', 'mathscrdmathscra', 'furthermore', 'we', 'present', 'an', 'algorithm', 'for', 'the', 'construction', 'of', 'the', 'grobner', 'basis', 'of', 'mathscrimathscra', 'hence', 'also', 'of', 'mathscrdmathscra']] | [-0.19296685469647248, 0.12481122593570035, -0.08030839063227177, -0.03960191411276658, -0.0500054653485616, -0.10759155364707113, 0.01434531324543059, 0.2768800704382981, -0.3143213207523028, -0.17601341122140488, 0.07132158943451941, -0.24609224786361059, -0.06659854704514145, 0.20376902573586753, -0.11164606127887965, -0.046012474509576955, 0.04700052031315863, 0.11570354370089869, -0.08434432852702836, -0.3127840582529704, 0.36756915093399584, -0.03972309516121944, 0.16806059466054044, -0.005567496518294016, 0.1040836770211657, -0.010213321434954802, 0.016260014148429036, 0.06355790090708373, -0.15894691049169826, 0.10655545261998971, 0.3026844319204489, 0.16627630644167463, 0.22475404369334379, -0.38562983808418116, -0.07126647895473677, 0.27290512026598057, 0.19179267050077517, -0.01694892125359426, 0.029182154039541882, -0.20371708562908072, 0.152356035746634, -0.17169212793310484, -0.19481361751134196, -0.08935277825842301, 0.06308766448870301, 0.04566119596362114, -0.32550369708488386, -0.01923165984878627, 0.10107981689584752, 0.15243091793730856, -0.04484574276333054, -0.1340618390714129, -0.0956068274565041, 0.06930329511562983, -0.06461523952583471, 0.08024831040451924, 0.06870851506168643, -0.051764093230012805, -0.13238673123220604, 0.38708582994838553, -0.03227504034837087, -0.23143943590422472, 0.06807419789334138, -0.2067668505012989, -0.08210358681778113, 0.1287883053595821, 0.13689817678183316, 0.1408381704854158, -0.02855365959306558, 0.20931743991173182, -0.150298988421758, 0.09641258917128047, 0.08757990468293428, 0.059758121045306326, 0.1705322439596057, 0.04715976210931937, 0.05664174206865331, 0.12700995699347306, -0.004130345930655797, 0.038928693597748254, -0.4083068017164866, -0.21330502166451576, -0.18817361262316504, 0.1425928177469177, -0.1494155053885576, -0.23857135864595572, 0.360052775858591, 0.128247645975401, 0.20465618753184875, 0.09629119406299044, 0.1868112962692976, 0.06069985614041798, 0.057942471231023474, 0.0907796351891011, 0.09444460775703192, 0.16140596114099026, -0.08832208740214507, -0.16994785810510318, 0.05442086772372325, 0.19900139351685842] |
711.1027 | Ultrahigh energy cosmic rays as heavy nuclei from cluster accretion
shocks | Large-scale accretion shocks around massive clusters of galaxies, generically
expected in hierarchical scenarios of cosmological structure formation, are
shown to be potential sources of the observed ultrahigh energy cosmic rays
(UHECRs) by accelerating a mixture of heavy nuclei including the iron group
elements. Current observations can be explained if the source composition at
injection for the heavier nuclei is somewhat enhanced from simple expectations
for the accreting gas. The proposed picture should be testable by current and
upcoming facilities in the near future through characteristic features in the
UHECR spectrum, composition and anisotropy. The associated X-ray and gamma-ray
signatures are also briefly discussed.
| astro-ph | largescale accretion shocks around massive clusters of galaxies generically expected in hierarchical scenarios of cosmological structure formation are shown to be potential sources of the observed ultrahigh energy cosmic rays uhecrs by accelerating a mixture of heavy nuclei including the iron group elements current observations can be explained if the source composition at injection for the heavier nuclei is somewhat enhanced from simple expectations for the accreting gas the proposed picture should be testable by current and upcoming facilities in the near future through characteristic features in the uhecr spectrum composition and anisotropy the associated xray and gammaray signatures are also briefly discussed | [['largescale', 'accretion', 'shocks', 'around', 'massive', 'clusters', 'of', 'galaxies', 'generically', 'expected', 'in', 'hierarchical', 'scenarios', 'of', 'cosmological', 'structure', 'formation', 'are', 'shown', 'to', 'be', 'potential', 'sources', 'of', 'the', 'observed', 'ultrahigh', 'energy', 'cosmic', 'rays', 'uhecrs', 'by', 'accelerating', 'a', 'mixture', 'of', 'heavy', 'nuclei', 'including', 'the', 'iron', 'group', 'elements', 'current', 'observations', 'can', 'be', 'explained', 'if', 'the', 'source', 'composition', 'at', 'injection', 'for', 'the', 'heavier', 'nuclei', 'is', 'somewhat', 'enhanced', 'from', 'simple', 'expectations', 'for', 'the', 'accreting', 'gas', 'the', 'proposed', 'picture', 'should', 'be', 'testable', 'by', 'current', 'and', 'upcoming', 'facilities', 'in', 'the', 'near', 'future', 'through', 'characteristic', 'features', 'in', 'the', 'uhecr', 'spectrum', 'composition', 'and', 'anisotropy', 'the', 'associated', 'xray', 'and', 'gammaray', 'signatures', 'are', 'also', 'briefly', 'discussed']] | [-0.07620874465413807, 0.22662702644044913, -0.03994224695217551, 0.18157589982277306, -0.0653505689324359, -0.050216805773054804, -0.012426285561427329, 0.4220516839724721, -0.26695571457560274, -0.3160983626549901, 0.042657364879789064, -0.31753627612488344, 0.0007188411302936887, 0.23069095968729952, 0.056006566585195296, -0.049492563609287, 0.04902046870946595, -0.03429869935594644, -0.0333401120123137, -0.21947957572043483, 0.3174037009622287, 0.22038596454845036, 0.22985209075245752, 0.030421679508329812, 0.02149803896696822, -0.10754967387991696, -0.04682735550823142, 0.0005067609288973861, -0.08110245713682673, 0.06287611917947482, 0.26519633096290157, 0.12130551857566371, 0.137758092504917, -0.41365819281527716, -0.2808708856786484, 0.11591206080036111, 0.1918953687712116, 0.047724462376491535, -0.14990322530332917, -0.2885123613353783, 0.08325229782455158, -0.20251198301037537, -0.21213474159029502, 0.014684167943750192, -0.03186467994745929, 0.05666173245866322, -0.21661023693713044, 0.10624014952833746, -0.009738613096364205, 0.005787616288199008, -0.13218166908244738, -0.11354102648442015, -0.025841329730504636, 0.00391677994443809, 0.08721059215598677, 0.012091507271691723, 0.22226852153256102, -0.15398746465323765, -0.09945301444369178, 0.42555609511808284, -0.06396363668360756, -0.039356861842199435, 0.19142442343991647, -0.2167156501130644, -0.1836142451140704, 0.16099179555092333, 0.16519445746241915, 0.0673223201691815, -0.16325305994132136, 0.054613302604779056, 0.014963514494791049, 0.13233670151738214, 0.029514088928337814, 0.04743059106098795, 0.3893002464607792, 0.16487529205307544, 0.016086672233797394, 0.04188283990720486, -0.137929020526941, -0.003898601337037619, -0.2706410478692032, -0.09674365860093566, -0.1396399843506515, 0.06649153068824445, -0.1061741106967426, -0.08751066899389363, 0.35165679417279305, 0.10068470497787432, 0.1966829872509302, -0.04781734593691829, 0.28922263013868077, 0.05636202706785837, 0.05685915840898179, 0.11329669283829558, 0.3066744780149853, 0.11101735115856004, 0.07707358062610899, -0.22338791668767707, 0.11817124766722611, -0.003973616280330761] |
711.1028 | Structure on Interplanetary Shock Fronts: Type II Radio Burst Source
Regions | We present \emph{in situ} observations of the source regions of
interplanetary (IP) type II radio bursts, using data from the Wind spacecraft
during the period 1996-2002. We show the results of this survey as well as
in-depth analysis of several individual events. Each event analyzed in detail
is associated with an interplanetary coronal mass ejection (ICME) and an IP
shock driven by the ICME. Immediately prior to the arrival of each shock,
electron beams along the interplanetary magnetic field (IMF) and associated
Langmuir waves are detected, implying magnetic connection to a
quasiperpendicular shock front acceleration site. These observations are
analogous to those made in the terrestrial foreshock region, indicating that a
similar foreshock region exists on IP shock fronts. The analogy suggests that
the electron acceleration process is a fast Fermi process, and this suggestion
is borne out by loss cone features in the electron distribution functions. The
presence of a foreshock region requires nonplanar structure on the shock front.
Using Wind burst mode data, the foreshock electrons are analyzed to estimate
the dimensions of the curved region. We present the first measurement of the
lateral, shock-parallel scale size of IP foreshock regions. The presence of
these regions on IP shock fronts can explain the fine structure often seen in
the spectra of type II bursts.
| physics.space-ph | we present emphin situ observations of the source regions of interplanetary ip type ii radio bursts using data from the wind spacecraft during the period 19962002 we show the results of this survey as well as indepth analysis of several individual events each event analyzed in detail is associated with an interplanetary coronal mass ejection icme and an ip shock driven by the icme immediately prior to the arrival of each shock electron beams along the interplanetary magnetic field imf and associated langmuir waves are detected implying magnetic connection to a quasiperpendicular shock front acceleration site these observations are analogous to those made in the terrestrial foreshock region indicating that a similar foreshock region exists on ip shock fronts the analogy suggests that the electron acceleration process is a fast fermi process and this suggestion is borne out by loss cone features in the electron distribution functions the presence of a foreshock region requires nonplanar structure on the shock front using wind burst mode data the foreshock electrons are analyzed to estimate the dimensions of the curved region we present the first measurement of the lateral shockparallel scale size of ip foreshock regions the presence of these regions on ip shock fronts can explain the fine structure often seen in the spectra of type ii bursts | [['we', 'present', 'emphin', 'situ', 'observations', 'of', 'the', 'source', 'regions', 'of', 'interplanetary', 'ip', 'type', 'ii', 'radio', 'bursts', 'using', 'data', 'from', 'the', 'wind', 'spacecraft', 'during', 'the', 'period', '19962002', 'we', 'show', 'the', 'results', 'of', 'this', 'survey', 'as', 'well', 'as', 'indepth', 'analysis', 'of', 'several', 'individual', 'events', 'each', 'event', 'analyzed', 'in', 'detail', 'is', 'associated', 'with', 'an', 'interplanetary', 'coronal', 'mass', 'ejection', 'icme', 'and', 'an', 'ip', 'shock', 'driven', 'by', 'the', 'icme', 'immediately', 'prior', 'to', 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711.1029 | Four-quark Bound States in Chiral SU(3) Quark Model | The possibility of $QQ\bar{q}\bar{q}$ heavy-light four-quark bound states has
been analyzed by means of the chiral SU(3) quark model, where $Q$ is the heavy
quark ($c$ or $b$) and $q$ is the light quark ($u$, $d$ or $s$). We obtain a
bound state for the $bb\bar{n}\bar{n}$ configuration with quantum number
$J^{P}=1^{+},I=0$ and for the $cc\bar{n}\bar{n}$ ($J^{P}=1^{+},I=0$)
configuration which is not bound but slightly above the $D^{*}D^{*}$ threshold
(n is $u$ or $d$ quark). Meanwhile, we also conclude that a weakly bound state
in $bb\bar{n}\bar{n}$ system can also be found without considering the chiral
quark interactions between the two light quarks, yet its binding energy is
weaker than that with the chiral quark interactions.
| nucl-th | the possibility of qqbarqbarq heavylight fourquark bound states has been analyzed by means of the chiral su3 quark model where q is the heavy quark c or b and q is the light quark u d or s we obtain a bound state for the bbbarnbarn configuration with quantum number jp1i0 and for the ccbarnbarn jp1i0 configuration which is not bound but slightly above the dd threshold n is u or d quark meanwhile we also conclude that a weakly bound state in bbbarnbarn system can also be found without considering the chiral quark interactions between the two light quarks yet its binding energy is weaker than that with the chiral quark interactions | [['the', 'possibility', 'of', 'qqbarqbarq', 'heavylight', 'fourquark', 'bound', 'states', 'has', 'been', 'analyzed', 'by', 'means', 'of', 'the', 'chiral', 'su3', 'quark', 'model', 'where', 'q', 'is', 'the', 'heavy', 'quark', 'c', 'or', 'b', 'and', 'q', 'is', 'the', 'light', 'quark', 'u', 'd', 'or', 's', 'we', 'obtain', 'a', 'bound', 'state', 'for', 'the', 'bbbarnbarn', 'configuration', 'with', 'quantum', 'number', 'jp1i0', 'and', 'for', 'the', 'ccbarnbarn', 'jp1i0', 'configuration', 'which', 'is', 'not', 'bound', 'but', 'slightly', 'above', 'the', 'dd', 'threshold', 'n', 'is', 'u', 'or', 'd', 'quark', 'meanwhile', 'we', 'also', 'conclude', 'that', 'a', 'weakly', 'bound', 'state', 'in', 'bbbarnbarn', 'system', 'can', 'also', 'be', 'found', 'without', 'considering', 'the', 'chiral', 'quark', 'interactions', 'between', 'the', 'two', 'light', 'quarks', 'yet', 'its', 'binding', 'energy', 'is', 'weaker', 'than', 'that', 'with', 'the', 'chiral', 'quark', 'interactions']] | [-0.13501003485474608, 0.31391781208698044, -0.08780834671554409, 0.06886693866690621, -0.028037226737730882, -0.200870956806466, 0.11513875088950788, 0.33192242665046995, -0.1783356683244082, -0.27227351413193074, -0.016389934419103983, -0.2930512689646672, -0.026999105522620744, 0.08166238088584081, 0.08669687078588388, 0.058469875063218005, 0.04377871721728959, 0.12776060927532273, -0.06413129968992011, -0.24319680525751955, 0.33733081667768683, -0.07538352157941765, 0.1894926766886122, 0.1839628558986905, -0.020509298553224652, -0.010127969649197027, 0.06875449672172015, -0.055771848263049664, -0.06600002309542932, 0.04946401174846952, 0.13824956073870204, 0.04950789195189083, 0.15246145820075815, -0.3552155425687405, -0.18067935139194807, 0.12735850804231383, 0.15449231671677394, 0.13203819653717802, -0.025071881462777543, -0.2961497596803714, 0.1335184327580712, -0.21452279100194574, -0.166915412010117, -0.09740708942144093, 0.0709860642440617, -0.04259710457514633, -0.33874508794820446, 0.07529804245515896, 0.060667918535711414, -0.005402304274453359, 0.0022667875270020554, -0.22313729018629105, -0.1043851455546577, 0.01891868933823637, 0.03968562472463501, 0.12258337628181008, 0.08212649489075623, -0.20034116641194982, -0.08730876844122329, 0.4049904410642656, -0.06886111123299501, -0.20902596692427655, 0.15450687634081325, -0.14925566760992462, -0.06648605055260387, 0.06295641851188107, 0.12690657236698, 0.12398284346881237, -0.15990476835603742, 0.15548258313634009, -0.08777044069191271, 0.20208174218529495, 0.08860853397372094, 0.07640292130156674, 0.19782228170396676, 0.16159666937521913, 0.04916200390170244, 0.08645191691202027, -0.06944117800925266, -0.08977833717468787, -0.32154939543794503, -0.09300570394208824, -0.16070048220624977, 0.06518674635828409, -0.0678393383708846, -0.10230377009985121, 0.357033393074843, 0.04606033488684757, 0.21031223028390245, -0.019389830706429415, 0.26223699440332976, 0.11878615497526797, 0.04368352363764478, 0.13668684241023255, 0.28580790945244106, 0.17426700649825347, 0.06219118046997623, -0.27351895726116543, 0.038953096673569894, 0.11089167215184055] |
711.103 | Can one extract energy loss probability distributions from R_AA? | The nuclear suppression of high transverse momentum P_T hadrons is one of the
most striking findings in heavy-ion collision experiments. It has long been
recognized that the suppression can be theoretically described by folding the
primary parton spectrum with an energy loss probability distribution which is
suitably averaged over the collision geometry. However, an interesting problem
is to what degree the procedure can be inverted, i.e. given a measurement of
the suppression factor R_AA with arbitrary precision, can the probability
distribution of energy loss be extracted in a model-independent way? In this
note, we present a conceptual study of the inversion problem for LHC energies
and demonstrate that a measurement of R_AA alone is insufficient to determine
the distribution, other observables such as gamma-hadron correlations must be
taken into account.
| hep-ph | the nuclear suppression of high transverse momentum p_t hadrons is one of the most striking findings in heavyion collision experiments it has long been recognized that the suppression can be theoretically described by folding the primary parton spectrum with an energy loss probability distribution which is suitably averaged over the collision geometry however an interesting problem is to what degree the procedure can be inverted ie given a measurement of the suppression factor r_aa with arbitrary precision can the probability distribution of energy loss be extracted in a modelindependent way in this note we present a conceptual study of the inversion problem for lhc energies and demonstrate that a measurement of r_aa alone is insufficient to determine the distribution other observables such as gammahadron correlations must be taken into account | [['the', 'nuclear', 'suppression', 'of', 'high', 'transverse', 'momentum', 'p_t', 'hadrons', 'is', 'one', 'of', 'the', 'most', 'striking', 'findings', 'in', 'heavyion', 'collision', 'experiments', 'it', 'has', 'long', 'been', 'recognized', 'that', 'the', 'suppression', 'can', 'be', 'theoretically', 'described', 'by', 'folding', 'the', 'primary', 'parton', 'spectrum', 'with', 'an', 'energy', 'loss', 'probability', 'distribution', 'which', 'is', 'suitably', 'averaged', 'over', 'the', 'collision', 'geometry', 'however', 'an', 'interesting', 'problem', 'is', 'to', 'what', 'degree', 'the', 'procedure', 'can', 'be', 'inverted', 'ie', 'given', 'a', 'measurement', 'of', 'the', 'suppression', 'factor', 'r_aa', 'with', 'arbitrary', 'precision', 'can', 'the', 'probability', 'distribution', 'of', 'energy', 'loss', 'be', 'extracted', 'in', 'a', 'modelindependent', 'way', 'in', 'this', 'note', 'we', 'present', 'a', 'conceptual', 'study', 'of', 'the', 'inversion', 'problem', 'for', 'lhc', 'energies', 'and', 'demonstrate', 'that', 'a', 'measurement', 'of', 'r_aa', 'alone', 'is', 'insufficient', 'to', 'determine', 'the', 'distribution', 'other', 'observables', 'such', 'as', 'gammahadron', 'correlations', 'must', 'be', 'taken', 'into', 'account']] | [-0.08154706545174122, 0.17625194114762752, -0.18395485887303947, 0.1352854273846158, -0.023739319681548156, -0.10281832639056329, -0.05602401553903921, 0.38620969481909506, -0.2836332958128948, -0.3189381295098708, 0.007907141441515145, -0.2686652597469779, -0.023658909208069626, 0.16462985261415058, -0.016954106790049432, 0.08051021108403802, 0.11044983287126972, 0.025505532120139552, -0.059150207467162264, -0.19799491431420813, 0.3055258248771469, 0.14014255448531074, 0.261183161338648, 0.14446752331076332, 0.08245321329539786, 0.04007228245743765, 0.003725235919969586, 0.0526153477267004, -0.09476059712167345, 0.06856103771401999, 0.28531632254330014, 0.11568008502766203, 0.20504707076694242, -0.34686008161650256, -0.21271954777363974, 0.14264046851402293, 0.1664124018799227, 0.11996635428289525, -0.05499736151586358, -0.23353534567241485, 0.07708158323702474, -0.21407909289712104, -0.13828156478344822, -0.08620536771889489, -0.008915056868527945, 0.0028479687918801433, -0.2977295981361889, 0.12005558340326668, 0.032458018192734854, 0.03612756522085804, -0.027183279615397064, -0.12270297337538348, -0.02560218655002805, 0.0931643621924405, 0.06450685364856887, 0.08218444305507897, 0.1325406594004912, -0.14077028085907492, -0.12793367054456703, 0.39945456377015665, -0.005458369367541029, -0.19193242999653404, 0.10475698138873737, -0.19609831580354903, -0.09863714267714666, 0.14494562515129264, 0.19979646837410445, 0.07087549657489245, -0.18236000410352762, 0.032149963840772844, -0.03676125788344787, 0.18318476449125087, 0.06973642650812578, 0.06340231323757997, 0.1934873015834735, 0.1935250048812192, 0.03934514826665131, 0.09178440384432458, -0.113987088504319, -0.0660319338982495, -0.3412556746759667, -0.10872727731923358, -0.1923554259656857, 0.09284805500020202, -0.08590476820637168, -0.07405225229539121, 0.40413396086257236, 0.09621316030120047, 0.30010660972195463, -0.028573060939267564, 0.31273341296383966, 0.16917341776245917, 0.07825600723377787, 0.06186727933012522, 0.2608785054144951, 0.1115621749472876, 0.09318122910962512, -0.23553777284060534, 0.1107799162568811, 0.013430587395739097] |
711.1031 | Performance of Wang-Landau algorithm in continuous spin models and a
case study : modified XY-model | Performance of Wang-Landau (W-L) algorithm in two continuous spin models is
tested by determining the fluctuations in energy histogram. Finite size scaling
is performed on a modified XY-model using different W-L sampling schemes.
Difficulties faced in simulating relatively large continuous systems using W-L
algorithm are discussed.
| cond-mat.stat-mech | performance of wanglandau wl algorithm in two continuous spin models is tested by determining the fluctuations in energy histogram finite size scaling is performed on a modified xymodel using different wl sampling schemes difficulties faced in simulating relatively large continuous systems using wl algorithm are discussed | [['performance', 'of', 'wanglandau', 'wl', 'algorithm', 'in', 'two', 'continuous', 'spin', 'models', 'is', 'tested', 'by', 'determining', 'the', 'fluctuations', 'in', 'energy', 'histogram', 'finite', 'size', 'scaling', 'is', 'performed', 'on', 'a', 'modified', 'xymodel', 'using', 'different', 'wl', 'sampling', 'schemes', 'difficulties', 'faced', 'in', 'simulating', 'relatively', 'large', 'continuous', 'systems', 'using', 'wl', 'algorithm', 'are', 'discussed']] | [-0.1252413568208399, 0.14954873789911685, -0.08041567317939, 0.15740108215148843, 0.03510649307914402, -0.21488584253086668, -0.000395221676191558, 0.43225140695500636, -0.24049188500351232, -0.28899979564037337, 0.09502646398133315, -0.22527105828909122, -0.09740654312317139, 0.2646567688687988, -0.023501518324179495, 0.15624627333296381, 0.08133050511676866, -0.12132651298104422, -0.12101842257265083, -0.2911594373214504, 0.27283390477785596, 0.08916787625007007, 0.34201582590037066, -0.045681768400675574, 0.11018356275947197, -0.007039799845939421, -0.10789104257507817, 0.149269992141458, -0.12002357103578422, 0.000953579513841997, 0.1957651274795195, 0.04316228610949348, 0.2860623528856946, -0.36816047055079887, -0.21662278453131084, 0.10292421615399096, 0.14637122217201345, 0.11131437195707923, -0.07915921731214241, -0.2673199580749497, 0.11084369367555431, -0.12846375070512295, -0.04380217596443127, -0.04937135355304117, -0.05753000463237581, 0.04420181339019504, -0.23417931297065123, 0.11526916949483364, -0.01369643652730662, 0.07646578230449687, 0.011363381783113531, -0.1370833636990384, 0.04289806642286156, 0.06578113749096899, -0.02216792998471014, 0.014308268953438686, 0.1436585206133516, -0.09032449699209436, -0.18142873522542094, 0.3615690594458062, -0.06253849520631459, -0.22161104801394368, 0.17353043418742067, -0.08991920269782776, -0.1764320603106171, 0.1613987736687388, 0.17223345800100462, 0.09410217189756424, -0.16726854313974795, 0.15587231488493475, 0.06857551486514833, 0.15552510045792745, 0.027031356843350375, -0.04002221550225564, 0.1790722197620198, 0.20215333164062188, 0.004612655601585689, 0.18098402929330326, -0.14381326345787587, -0.17408574638007532, -0.17296350400884758, -0.06298518654606912, -0.3149670611500092, -0.031877666894022536, -0.13617277675834688, -0.1832118992207815, 0.3560915809610616, 0.1937880922291104, 0.18452564027646315, 0.07839454008448545, 0.341883414586925, 0.12271778736106606, 0.053609673272939806, 0.06263166469643297, 0.166032198128169, 0.1181528099215306, 0.08118408882949987, -0.2594942732349686, 0.02909572580803955, 0.1496804341845943] |
711.1032 | A Diagrammatic Approach for the Coefficients of the Characteristic
Polynomial | In this work we provide a novel approach for computing the coefficients of
the characteristic polynomial of a square matrix. We demonstrate that each
coefficient can be efficiently represented by a set of circle graphs. Thus, one
can employ a diagrammatic approach to determine the coefficients of the
characteristic polynomial.
| math-ph math.MP | in this work we provide a novel approach for computing the coefficients of the characteristic polynomial of a square matrix we demonstrate that each coefficient can be efficiently represented by a set of circle graphs thus one can employ a diagrammatic approach to determine the coefficients of the characteristic polynomial | [['in', 'this', 'work', 'we', 'provide', 'a', 'novel', 'approach', 'for', 'computing', 'the', 'coefficients', 'of', 'the', 'characteristic', 'polynomial', 'of', 'a', 'square', 'matrix', 'we', 'demonstrate', 'that', 'each', 'coefficient', 'can', 'be', 'efficiently', 'represented', 'by', 'a', 'set', 'of', 'circle', 'graphs', 'thus', 'one', 'can', 'employ', 'a', 'diagrammatic', 'approach', 'to', 'determine', 'the', 'coefficients', 'of', 'the', 'characteristic', 'polynomial']] | [-0.1299982360377908, 0.06265152541920543, -0.11769474983215332, 0.005497261339332909, -0.08563646882772445, -0.11386061534285545, 0.01198095948435366, 0.34351137548685073, -0.35643440757878125, -0.23599686166271566, 0.07696754770120606, -0.2002148891799152, -0.22725288663059473, 0.22551595259457827, -0.018209367403760553, 0.03892744110897183, 0.044757446213625374, 0.08193150497565511, -0.0967557592736557, -0.2711061301548034, 0.2974496648833156, -0.004042928963899612, 0.18640664495527745, 0.08306168247479945, 0.14604476554319262, -0.00180718001909554, -0.034103125911206005, 0.07261661272495985, -0.12313609164746595, 0.18809794795233756, 0.2635420236736536, 0.10735982496291399, 0.27751064889132976, -0.4074462640285492, -0.18320348765701056, 0.13491690995171665, 0.1648547701910138, 0.11411100501660258, 0.0263974242284894, -0.20784440401941537, 0.134723316244781, -0.18398520547430963, -0.15707329196855427, -0.11867621873039752, -0.027872115187346936, 0.015333429286256433, -0.3339106887578964, 0.0421741191111505, 0.040142976120114325, 0.04814161505550146, 0.015605240091681481, -0.10300458934158087, 0.10961775928270072, 0.11656988178379833, -0.07189161147922278, 0.0016738336533308029, 0.09497951732948423, -0.08980436710175127, -0.14114711466245353, 0.378730012178421, -0.11588505131192506, -0.2518340334109962, 0.10185207460075617, -0.13801429471932353, -0.1263238469325006, 0.10650131091475487, 0.19823389686644077, 0.152204124443233, -0.1553723232448101, 0.09702365698292852, -0.12734442722052336, 0.15356464599259198, 0.062452541030943394, -0.02239126100204885, 0.18997732646763324, 0.09093871362507343, 0.07427608606405556, 0.18535786761669443, -0.03825080370530486, -0.031172083881683646, -0.2793666698038578, -0.19330456469208002, -0.26217148147523406, 0.05004409437999129, -0.146475169332698, -0.17984866993268953, 0.4708533932268619, 0.1569373013265431, 0.2572085046768188, 0.11884279916062951, 0.26860229708254335, 0.1833078382702661, 0.07170990820974112, 0.05722280679270625, 0.12671989433467387, 0.10586925559211523, 0.01822386221960187, -0.21022259291261436, 0.06764163240790368, 0.15958233777433634] |
711.1033 | Anisotropic Higgs oscillator | We present the higher-dimensional generalization of anisotropic
(pseudo)spherical oscillator suggested recently in [arXiv:0710.5001], and the
related spherical and pseudosperical generalizations (MICZ-)Kepler like systems
with Stark term and $\cos\theta$ potential. We write down the potentials and
hidden symmetry generators of these systems, in terms of ambient Euclidean
space.
| math-ph hep-th math.MP | we present the higherdimensional generalization of anisotropic pseudospherical oscillator suggested recently in arxiv07105001 and the related spherical and pseudosperical generalizations miczkepler like systems with stark term and costheta potential we write down the potentials and hidden symmetry generators of these systems in terms of ambient euclidean space | [['we', 'present', 'the', 'higherdimensional', 'generalization', 'of', 'anisotropic', 'pseudospherical', 'oscillator', 'suggested', 'recently', 'in', 'arxiv07105001', 'and', 'the', 'related', 'spherical', 'and', 'pseudosperical', 'generalizations', 'miczkepler', 'like', 'systems', 'with', 'stark', 'term', 'and', 'costheta', 'potential', 'we', 'write', 'down', 'the', 'potentials', 'and', 'hidden', 'symmetry', 'generators', 'of', 'these', 'systems', 'in', 'terms', 'of', 'ambient', 'euclidean', 'space']] | [-0.13246817332175043, 0.12459678538143634, 0.005371464488820897, 0.07672231478823556, -0.06261029922299916, -0.14036000195062823, -0.028960111473376553, 0.3314654751861882, -0.2409731980620159, -0.276618972255124, 0.09549055695016351, -0.2884642138870226, -0.2131577304357456, 0.16184779662224982, -0.07812816822616797, 0.07918351656860775, -0.05058583668950531, 0.039958988890672724, -0.13501430538793405, -0.2186200512262682, 0.3672775710001588, 0.01508477015627755, 0.2258982028398249, -0.009680969920009375, 0.1288956791576412, 0.03304273195357786, 0.01645866156452232, 0.008180615563954536, -0.13271219188140498, 0.1395947991559903, 0.14079334082909756, 0.0036524364310834144, 0.13146074288007287, -0.4296796833475431, -0.22760500220788848, 0.147147597413924, 0.14255392309536952, 0.09914320917127448, -0.04016234118284451, -0.2988625839352608, -0.03247424297862583, -0.2073479359348615, -0.20981748542851872, -0.15614766230185825, 0.03521950340105428, 0.042552694512738125, -0.18011351899347372, 0.09872507246004211, 0.12086251184551253, 0.07000362540032559, -0.1165110380647497, -0.10889943855452455, -0.02248734903211395, 0.03152971888581912, 0.046497748730083305, 0.05265685162610478, 0.06094126483270278, -0.09554821915096706, -0.11965730644555556, 0.44546258830361896, -0.06299144252358625, -0.257660499918792, 0.19079705531088015, -0.1355486168940034, -0.12938751336187124, 0.03476062392195066, 0.19644506027301153, 0.1038149780749033, -0.10590758621692657, 0.16892300207271344, 0.023916438718636832, 0.07901802071266704, 0.1312067691443695, 0.06146203440924485, 0.16474474519491195, 0.06479142270982266, 0.04044916467327211, 0.21033312461028497, -0.021072655357420443, -0.15899642325109906, -0.31549303873131673, -0.1886810985290342, -0.13406321928939885, 0.07536794185224506, -0.10551708025935416, -0.1477411335127221, 0.3776749256480899, 0.09367419206019904, 0.16786510431104237, 0.004941019426203437, 0.20503034479916096, 0.12218510041841202, 0.11544125717547205, 0.049091866167469154, 0.211600804887712, 0.176071662745542, 0.11473978395677276, -0.20436910153625326, -0.09869140039922462, 0.10461639302472274] |
711.1034 | Shear viscosity of a hadronic gas mixture | We discuss in detail the shear viscosity coefficient eta and the viscosity to
entropy density ratio eta/s of a hadronic gas comprised of pions and nucleons.
In particular, we study the effects of baryon chemical potential on eta and
eta/s. We solve the relativistic quantum Boltzmann equations with binary
collisions (pi pi, pi N, and NN) for a state slightly deviated from thermal
equilibrium at temperature T and baryon chemical potential mu. The use of
phenomenological amplitudes in the collision terms, which are constructed to
reproduce experimental data, greatly helps to extend the validity region in the
T-mu plane. The total viscosity coefficient eta(T,mu)=eta^pi + eta^N increases
as a function of T and mu, indirectly reflecting energy dependences of binary
cross sections. The increase in mu direction is due to enhancement of the
nucleon contribution eta^N while the pion contribution eta^pi diminishes with
increasing mu. On the other hand, due to rapid growth of entropy density, the
ratio eta/s becomes a decreasing function of T and mu in a wide region of the
T-mu plane. In the kinematical region we investigated T < 180MeV, mu < 1GeV,
the smallest value of eta/s is about 0.3. Thus, it never violates the
conjectured lower bound eta/s= 1/4pi ~ 0.1. The smallness of eta/s in the
hadronic phase and its continuity at T ~ T_c (at least for crossover at small
mu) implies that the ratio will be small enough in the deconfined phase T >
T_c. There is a nontrivial structure at low temperature and at around normal
nuclear density. We examine its possible interpretation as the liquid-gas phase
transition.
| hep-ph nucl-th | we discuss in detail the shear viscosity coefficient eta and the viscosity to entropy density ratio etas of a hadronic gas comprised of pions and nucleons in particular we study the effects of baryon chemical potential on eta and etas we solve the relativistic quantum boltzmann equations with binary collisions pi pi pi n and nn for a state slightly deviated from thermal equilibrium at temperature t and baryon chemical potential mu the use of phenomenological amplitudes in the collision terms which are constructed to reproduce experimental data greatly helps to extend the validity region in the tmu plane the total viscosity coefficient etatmuetapi etan increases as a function of t and mu indirectly reflecting energy dependences of binary cross sections the increase in mu direction is due to enhancement of the nucleon contribution etan while the pion contribution etapi diminishes with increasing mu on the other hand due to rapid growth of entropy density the ratio etas becomes a decreasing function of t and mu in a wide region of the tmu plane in the kinematical region we investigated t 180mev mu 1gev the smallest value of etas is about 03 thus it never violates the conjectured lower bound etas 14pi 01 the smallness of etas in the hadronic phase and its continuity at t t_c at least for crossover at small mu implies that the ratio will be small enough in the deconfined phase t t_c there is a nontrivial structure at low temperature and at around normal nuclear density we examine its possible interpretation as the liquidgas phase transition | [['we', 'discuss', 'in', 'detail', 'the', 'shear', 'viscosity', 'coefficient', 'eta', 'and', 'the', 'viscosity', 'to', 'entropy', 'density', 'ratio', 'etas', 'of', 'a', 'hadronic', 'gas', 'comprised', 'of', 'pions', 'and', 'nucleons', 'in', 'particular', 'we', 'study', 'the', 'effects', 'of', 'baryon', 'chemical', 'potential', 'on', 'eta', 'and', 'etas', 'we', 'solve', 'the', 'relativistic', 'quantum', 'boltzmann', 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711.1035 | Skew domino Schensted algorithm and sign-imbalance | Using growth diagrams, we define a skew domino Schensted correspondence which
is a domino analogue of the skew Robinson-Schensted correspondence due to Sagan
and Stanley. The color-to-spin property of Shimozono and White is extended. As
an application, we give a simple generating function for the weighted sum of
skew domino tableaux, which is a generalization of Stanley's sign-imbalance
formula. The generating function gives a method to calculate the generalized
sign-imbalance formula. We also extend Sj{\"o}strand's theorems on
sign-imbalance of skew shapes.
| math.CO | using growth diagrams we define a skew domino schensted correspondence which is a domino analogue of the skew robinsonschensted correspondence due to sagan and stanley the colortospin property of shimozono and white is extended as an application we give a simple generating function for the weighted sum of skew domino tableaux which is a generalization of stanleys signimbalance formula the generating function gives a method to calculate the generalized signimbalance formula we also extend sjostrands theorems on signimbalance of skew shapes | [['using', 'growth', 'diagrams', 'we', 'define', 'a', 'skew', 'domino', 'schensted', 'correspondence', 'which', 'is', 'a', 'domino', 'analogue', 'of', 'the', 'skew', 'robinsonschensted', 'correspondence', 'due', 'to', 'sagan', 'and', 'stanley', 'the', 'colortospin', 'property', 'of', 'shimozono', 'and', 'white', 'is', 'extended', 'as', 'an', 'application', 'we', 'give', 'a', 'simple', 'generating', 'function', 'for', 'the', 'weighted', 'sum', 'of', 'skew', 'domino', 'tableaux', 'which', 'is', 'a', 'generalization', 'of', 'stanleys', 'signimbalance', 'formula', 'the', 'generating', 'function', 'gives', 'a', 'method', 'to', 'calculate', 'the', 'generalized', 'signimbalance', 'formula', 'we', 'also', 'extend', 'sjostrands', 'theorems', 'on', 'signimbalance', 'of', 'skew', 'shapes']] | [-0.10409863481763751, 0.07909735261509923, -0.1508164249069523, 0.17730598519410706, -0.13381110281625297, -0.11230600529233925, 0.058086867292877285, 0.3226855683082249, -0.3231786526273936, -0.2087989371502772, 0.07359944877098315, -0.23649117628810928, -0.24716939094942064, 0.19395122714340687, -0.19592856685630977, -0.04760047600138932, -0.018134964240016416, -0.009269749545637751, -0.12028085985220968, -0.2558877382602077, 0.28725508418865503, 0.013213794269540812, 0.24751400433015078, 0.0928788935765624, 0.11853499145363458, 0.09403573804884217, -0.057109917176421734, -0.010527766807354056, -0.20389171378337778, 0.1447771474602632, 0.1920830344519345, 0.1481202091963496, 0.14621800559107215, -0.3205276735709049, -0.050792379826816614, 0.1773620628635399, 0.13478168525616638, 0.06436014412320219, -0.06286395496717886, -0.22185929836705326, 0.06750417099683545, -0.25532710358966143, -0.18767014923505485, -0.02268981414672453, 0.0852561742416583, 0.07154277878944412, -0.29852462286362424, 0.016687822099993355, 0.17735070668859407, 0.0774042735583862, 0.011627925574430265, -0.14585172224324197, 0.06365141239293734, 0.05470397757017054, -0.06306193081836682, 0.007313580461777746, 0.031973384000593796, -0.0862159729236737, -0.1987609043906559, 0.313369901234546, -0.03090412567835301, -0.22479509015829535, 0.060928705852711575, -0.11260308582568541, -0.11919220685958862, 0.07629820280708373, 0.06407868966925889, 0.14303306013462133, -0.10510114524513484, 0.13063537357811583, -0.23408571281470358, 0.042068057775031774, 0.21825526951579377, -0.017028974543791264, 0.18293742270034272, 0.04353604201460257, 0.0742184878414264, 0.3735007258364931, -0.031985123307276805, -0.0887744756648317, -0.2860998133546673, -0.1988886400926276, -0.15907229259610176, 0.11537209446541966, -0.14355596067434817, -0.30147290002787486, 0.38471703527029605, 0.07625885654124431, 0.1808641683379392, 0.15771479589457157, 0.2015605973690981, 0.15166842914040898, 0.10196356815285981, -0.06488264359650202, 0.031905367478611876, 0.31906230266322383, 0.0062316360475961115, -0.13590242575883166, 0.04727647154541046, 0.27532169737387446] |
711.1036 | Confidence Sets Based on Sparse Estimators Are Necessarily Large | Confidence sets based on sparse estimators are shown to be large compared to
more standard confidence sets, demonstrating that sparsity of an estimator
comes at a substantial price in terms of the quality of the estimator. The
results are set in a general parametric or semiparametric framework.
| math.ST stat.ME stat.TH | confidence sets based on sparse estimators are shown to be large compared to more standard confidence sets demonstrating that sparsity of an estimator comes at a substantial price in terms of the quality of the estimator the results are set in a general parametric or semiparametric framework | [['confidence', 'sets', 'based', 'on', 'sparse', 'estimators', 'are', 'shown', 'to', 'be', 'large', 'compared', 'to', 'more', 'standard', 'confidence', 'sets', 'demonstrating', 'that', 'sparsity', 'of', 'an', 'estimator', 'comes', 'at', 'a', 'substantial', 'price', 'in', 'terms', 'of', 'the', 'quality', 'of', 'the', 'estimator', 'the', 'results', 'are', 'set', 'in', 'a', 'general', 'parametric', 'or', 'semiparametric', 'framework']] | [-0.03244339080745394, -0.021890328272847717, -0.08028113741942859, 0.12275535727236817, -0.03553595798129731, -0.0998764422306038, 0.06778199287091798, 0.4030800090825304, -0.21929244451383326, -0.268301931566539, 0.14209041776670578, -0.2762502509545773, -0.11270878713161862, 0.2626044447385171, -0.18885906960101836, 0.11189863260122056, 0.08885032053482025, 0.016033022169103014, -0.049394868467835355, -0.3284873532904114, 0.2694871802120767, 0.08729072648318524, 0.3354194636080176, -0.011393848182435365, 0.10108029105244799, -0.06729616538839454, -0.031159661224785636, 0.04830471402470102, -0.06721449913435364, 0.19911433883169863, 0.2538581093416569, 0.1681829999161369, 0.3862316808960539, -0.33230490340514385, -0.16784061138775755, 0.10974599744014918, 0.09045821142957565, 0.09187824938921853, 0.022493506554808924, -0.29728425971846634, 0.11635190030520266, -0.1816472556006084, -0.018620896163059675, -0.1380540883525255, -0.1124610719370081, -0.010835785973579325, -0.4046554945884867, 0.10668621619449968, 0.038655851749663656, 0.059711583037959766, -0.003462106167794542, -0.18488177421076737, -0.017570451877892336, 0.0016746342806343703, 0.07648200775556108, -0.008133841896469289, 0.08376777504986906, -0.11297504802016502, -0.13044055678108904, 0.33954792321000765, -0.08100052778311867, -0.2542460695543188, 0.2096744261414526, -0.1932572687163632, -0.13485012451147146, 0.15153153660766622, 0.25472563887609445, 0.04841286994199803, -0.20025126398243803, 0.09187224039689024, -0.06264113882516927, 0.1738745169912247, 0.05368608260091315, 0.028104792474125055, 0.17866645523525299, 0.20304186667929938, 0.14012559636079885, 0.10576196988063687, -0.08648870120003344, -0.050152594421772244, -0.31790894468096975, -0.06854401128564744, -0.2179248369437583, -0.06636148403854446, -0.20742957109704296, -0.2279936445132641, 0.3860787546381037, 0.16704767537204193, 0.20854747335010387, 0.1370978177267503, 0.2835145926677642, 0.16390629770374174, 0.026702873805101883, 0.10879279491788846, 0.2195272377315671, 0.07985582963583317, -0.07592276336149649, -0.10836333316562578, 0.11737499028404659, -0.0011501072093527368] |
711.1037 | Generalizations of MICZ-Kepler system | We discuss the generalizations of the MICZ-Kepler system (the system
describing the motion of the charged particle in the field of Dirac dyon), to
the curved spaces, arbitrary potentials and to the multi-dyon background.
| math-ph hep-th math.MP | we discuss the generalizations of the miczkepler system the system describing the motion of the charged particle in the field of dirac dyon to the curved spaces arbitrary potentials and to the multidyon background | [['we', 'discuss', 'the', 'generalizations', 'of', 'the', 'miczkepler', 'system', 'the', 'system', 'describing', 'the', 'motion', 'of', 'the', 'charged', 'particle', 'in', 'the', 'field', 'of', 'dirac', 'dyon', 'to', 'the', 'curved', 'spaces', 'arbitrary', 'potentials', 'and', 'to', 'the', 'multidyon', 'background']] | [-0.16616900247578142, 0.14393719141794878, -0.039708448658612644, 0.08874460620184739, -0.020455577184982372, -0.09223298739754793, -0.08237116524215901, 0.283793008801612, -0.21963546419459762, -0.2941348902090932, 0.044660764883949676, -0.29727567673068156, -0.1094118040478365, 0.1341249541076126, -0.0531682696645007, 0.05905266862475511, -0.003479461326743617, 0.10344666685683257, -0.09686775892182733, -0.2167131885970858, 0.42302758616367075, 0.03182142013401696, 0.21167772127823395, 0.0350067557936365, 0.1517275789696159, 0.07872804041218126, 0.021823051526690975, 0.04574597017331557, -0.11139335570800485, 0.1526610960224361, 0.1054529757662253, 0.03557561733054392, 0.1223803527201667, -0.4012868709184907, -0.20875691100390573, 0.10955625246137832, 0.14861620717089286, 0.1749139704819148, -0.051441270942715084, -0.3738147733789502, 0.011904481911298, -0.13007289758234314, -0.24492641278740132, -0.04060440134454631, 0.033815577192316676, 0.06264969836356062, -0.22281488975171337, 0.025886174891087594, 0.07828074417105227, -0.04695510060374738, -0.19245832723875841, -0.07574534920665126, -0.03799470164107554, 0.11138148374403968, 0.09669354603146062, 0.015884448195610083, 0.1640007159051796, -0.18776274969180426, -0.12518969370108662, 0.43303242845065665, -0.08326199536465785, -0.3063652782954953, 0.17009530408364354, -0.21980936644655286, -0.07650063720277765, 0.10553488191781622, 0.18486404654598146, 0.12791778353240454, -0.1496660705147819, 0.1723423269700795, -0.0023702234523653083, 0.06626422985485106, 0.07049425344236872, 0.017025447676353382, 0.2597981970757246, 0.11548547565259716, 0.05324221279641444, 0.16361192196156038, -0.07464818481468793, -0.1416279569561029, -0.35583860856114014, -0.23022237564013762, -0.12458723224699497, 0.02840418910438364, -0.11303868311215685, -0.24273140434965942, 0.4562245986678384, 0.1598913190942822, 0.14146986183230625, -0.021298275046953648, 0.21054415582594546, 0.1181248582222245, -0.008257808971613871, 0.030350998749561382, 0.24418302645173037, 0.1865027809346264, 0.16469928074741003, -0.2868219102648171, -0.17175029219607962, 0.12049242794852365] |
711.1038 | Am\'elioration des Performances des Syst\`emes Automatiques de
Reconnaissance de la Parole pour la Parole Non Native | In this article, we present an approach for non native automatic speech
recognition (ASR). We propose two methods to adapt existing ASR systems to the
non-native accents. The first method is based on the modification of acoustic
models through integration of acoustic models from the mother tong. The
phonemes of the target language are pronounced in a similar manner to the
native language of speakers. We propose to combine the models of confused
phonemes so that the ASR system could recognize both concurrent
pronounciations. The second method we propose is a refinment of the
pronounciation error detection through the introduction of graphemic
constraints. Indeed, non native speakers may rely on the writing of words in
their uttering. Thus, the pronounctiation errors might depend on the characters
composing the words. The average error rate reduction that we observed is
(22.5%) relative for the sentence error rate, and 34.5% (relative) in word
error rate.
| cs.CL | in this article we present an approach for non native automatic speech recognition asr we propose two methods to adapt existing asr systems to the nonnative accents the first method is based on the modification of acoustic models through integration of acoustic models from the mother tong the phonemes of the target language are pronounced in a similar manner to the native language of speakers we propose to combine the models of confused phonemes so that the asr system could recognize both concurrent pronounciations the second method we propose is a refinment of the pronounciation error detection through the introduction of graphemic constraints indeed non native speakers may rely on the writing of words in their uttering thus the pronounctiation errors might depend on the characters composing the words the average error rate reduction that we observed is 225 relative for the sentence error rate and 345 relative in word error rate | [['in', 'this', 'article', 'we', 'present', 'an', 'approach', 'for', 'non', 'native', 'automatic', 'speech', 'recognition', 'asr', 'we', 'propose', 'two', 'methods', 'to', 'adapt', 'existing', 'asr', 'systems', 'to', 'the', 'nonnative', 'accents', 'the', 'first', 'method', 'is', 'based', 'on', 'the', 'modification', 'of', 'acoustic', 'models', 'through', 'integration', 'of', 'acoustic', 'models', 'from', 'the', 'mother', 'tong', 'the', 'phonemes', 'of', 'the', 'target', 'language', 'are', 'pronounced', 'in', 'a', 'similar', 'manner', 'to', 'the', 'native', 'language', 'of', 'speakers', 'we', 'propose', 'to', 'combine', 'the', 'models', 'of', 'confused', 'phonemes', 'so', 'that', 'the', 'asr', 'system', 'could', 'recognize', 'both', 'concurrent', 'pronounciations', 'the', 'second', 'method', 'we', 'propose', 'is', 'a', 'refinment', 'of', 'the', 'pronounciation', 'error', 'detection', 'through', 'the', 'introduction', 'of', 'graphemic', 'constraints', 'indeed', 'non', 'native', 'speakers', 'may', 'rely', 'on', 'the', 'writing', 'of', 'words', 'in', 'their', 'uttering', 'thus', 'the', 'pronounctiation', 'errors', 'might', 'depend', 'on', 'the', 'characters', 'composing', 'the', 'words', 'the', 'average', 'error', 'rate', 'reduction', 'that', 'we', 'observed', 'is', '225', 'relative', 'for', 'the', 'sentence', 'error', 'rate', 'and', '345', 'relative', 'in', 'word', 'error', 'rate']] | [-0.10120735513172238, 0.05304974977303032, -0.061914059095953065, 0.08372629550442956, -0.09837844255820823, -0.1309778604379578, 0.0920135569538468, 0.40760981457031054, -0.2696077661884546, -0.29466639909888553, 0.05980669913461079, -0.2958622192397613, -0.15517574516156488, 0.20519251180293568, -0.14416952410750594, 0.03165312631707009, 0.0924616123319956, 0.10670765924009469, -0.08894748238506853, -0.2574839336149445, 0.29511719645076506, 0.053239525532557605, 0.3337821676584615, -0.014950393595279672, 0.10626659091134127, -0.04952289902674336, -0.05030690103150256, -0.09530219495944628, -0.05923606529314703, 0.1828992387556748, 0.2844716158690947, 0.1680192615541101, 0.2756544952029111, -0.3897416312310442, -0.16477699085717668, 0.06333698570174542, 0.14414367968581515, 0.1906316034508416, -0.020314880644405463, -0.33419259202767265, 0.10754298187817472, -0.16992873471148462, 0.05528531431509937, -0.044987228327758005, -0.007124928354814246, 0.011607727688749798, -0.2076799178329246, 0.09565969016340033, 0.1475099379113581, 0.09973584352111495, -0.08643627330299775, -0.12285882414781137, 0.028733356557692075, 0.1676629418538682, 0.06877830495736939, 0.028470545572958684, 0.13105696615309934, -0.12012280265932802, -0.12815161420007212, 0.3962619555358951, -0.1072179523337557, -0.251810905662038, 0.22893248787904913, -0.05628512333449278, -0.12611547744883275, 0.09114693743302613, 0.2358291607752845, 0.09514193172642105, -0.16498148804404647, 0.018742244733525818, 0.012714287115109933, 0.2566553012662995, 0.07828489850539513, -0.005170704803203006, 0.1934583246443622, 0.19911935324135638, -0.03002284740560336, 0.13161005582455923, -0.12711170998345306, -0.0070724511169828475, -0.2506615180094299, -0.15181860748939593, -0.133695745563789, -0.04182094128368221, -0.034053299252657265, -0.17134825881048282, 0.40136652845083864, 0.22798042033714042, 0.1624834725233676, 0.12023553714735082, 0.2831847079073054, 0.07302125584887895, 0.09755037952256955, 0.05107897089328617, 0.18557998036723458, 0.001572864649288759, 0.08839223156384243, -0.2192589021447143, 0.13112706670889984, 0.07528556346566088] |
711.1039 | Following microscopic motion in a two dimensional glass-forming binary
fluid | The dynamics of a binary mixture of large and small discs are studied at
temperatures approaching the glass transition using an analysis based on the
topology of the Voronoi polygon surrounding each atom. At higher temperatures
we find that dynamics is dominated by fluid-like motion that involves particles
entering and exiting the nearest-neighbour shells of nearby particles. As the
temperature is lowered, the rate of topological moves decreases and motion
becomes localised to regions of mixed pentagons and heptagons. In addition we
find that in the low temperature state particles may translate significant
distances without undergoing changes in their nearest neig hbour shell. These
results have implications for dynamical heterogeneities in glass forming
liquids.
| cond-mat.soft | the dynamics of a binary mixture of large and small discs are studied at temperatures approaching the glass transition using an analysis based on the topology of the voronoi polygon surrounding each atom at higher temperatures we find that dynamics is dominated by fluidlike motion that involves particles entering and exiting the nearestneighbour shells of nearby particles as the temperature is lowered the rate of topological moves decreases and motion becomes localised to regions of mixed pentagons and heptagons in addition we find that in the low temperature state particles may translate significant distances without undergoing changes in their nearest neig hbour shell these results have implications for dynamical heterogeneities in glass forming liquids | [['the', 'dynamics', 'of', 'a', 'binary', 'mixture', 'of', 'large', 'and', 'small', 'discs', 'are', 'studied', 'at', 'temperatures', 'approaching', 'the', 'glass', 'transition', 'using', 'an', 'analysis', 'based', 'on', 'the', 'topology', 'of', 'the', 'voronoi', 'polygon', 'surrounding', 'each', 'atom', 'at', 'higher', 'temperatures', 'we', 'find', 'that', 'dynamics', 'is', 'dominated', 'by', 'fluidlike', 'motion', 'that', 'involves', 'particles', 'entering', 'and', 'exiting', 'the', 'nearestneighbour', 'shells', 'of', 'nearby', 'particles', 'as', 'the', 'temperature', 'is', 'lowered', 'the', 'rate', 'of', 'topological', 'moves', 'decreases', 'and', 'motion', 'becomes', 'localised', 'to', 'regions', 'of', 'mixed', 'pentagons', 'and', 'heptagons', 'in', 'addition', 'we', 'find', 'that', 'in', 'the', 'low', 'temperature', 'state', 'particles', 'may', 'translate', 'significant', 'distances', 'without', 'undergoing', 'changes', 'in', 'their', 'nearest', 'neig', 'hbour', 'shell', 'these', 'results', 'have', 'implications', 'for', 'dynamical', 'heterogeneities', 'in', 'glass', 'forming', 'liquids']] | [-0.12951316489073048, 0.2646176938694355, -0.061022561974823475, 0.02117708712259108, 0.008278492561657913, -0.10810741955252265, 0.052463578271791836, 0.3761250532282117, -0.2310149242319832, -0.2698356207194073, 0.07093818792574373, -0.32284938292910476, -0.08003293397736602, 0.10521297225412647, -0.001273512266509767, -0.045596244873844886, 0.0172321305227732, 0.007852244283380319, -0.09150223002195292, -0.18858056254560193, 0.2971809006038321, 0.050912904303653965, 0.2380576689236997, 0.0532029685231724, 0.08360404120841329, 0.0009003288474299812, 0.04499609763401428, 0.06208987411810085, -0.15480247424622057, 0.02808856380741937, 0.1848185648697316, 0.004767344547352488, 0.20870986909306208, -0.4774291019753686, -0.21312830069551378, 0.07827237380427375, 0.16542921129439492, 0.12426362545894724, -0.07530941525328672, -0.2514963182173752, 0.039504278280739005, -0.12815007813956722, -0.18215312312739634, -0.04355513754230093, 0.062099187562125735, 0.03689084752529327, -0.19609982529488793, 0.13452457267391896, 0.07351486393261959, 0.05586378635572536, -0.09223899225513119, -0.12677787002758123, -0.07053175354459588, 0.13538965002849832, 0.02399703809559079, 0.02729160647140816, 0.23741517139465682, -0.16836701475300028, -0.06011330009122113, 0.38930322820254204, -0.058226481113316755, -0.12780778957780317, 0.2801654989234521, -0.2014059516659472, -0.11556156936005989, 0.22827050548845104, 0.1662671012122051, 0.12869354286730023, -0.11082908003092078, 0.03154976899661831, 0.02141415388489674, 0.15208404924487695, 0.07862658304345262, 0.01836166115910081, 0.29620439448210945, 0.21055280279168592, 0.02714372368271662, 0.19615656906846976, -0.14320132556063722, -0.16231911392450066, -0.22548875557757647, -0.14015967978879676, -0.20809519457231676, -0.014345599311647155, -0.1442622204064849, -0.162647265117682, 0.2977781661265908, 0.09934862478673624, 0.2271484444499947, 0.015064381096245987, 0.2290827668912243, 0.06602521925794592, 0.07300367181596812, 0.09972470778406464, 0.26503038861223366, 0.10662446464786106, 0.06688688798957239, -0.23928470857104653, 0.06283358946633857, 0.04905641470603379] |
711.104 | Statistics of Resonances in a Semi-infinite Disordered Chain | We study the average density of resonances (DOR) for a semi-infinite
disordered chain, coupled to the outside world by a (semi-infinite) perfect
lead. A set of equations is derived, which provides the general framework for
calculating the average DOR, for an arbitrary disorder and coupling strength.
These general equations are applied to the case of weak coupling and an
asymptotically exact expression for the averaged DOR is derived, in the limit
of small resonance width. This expression is universal, in the sense that it
holds for any degree of disorder and everywhere in the (unperturbed) energy
band.
| cond-mat.dis-nn cond-mat.other math-ph math.MP | we study the average density of resonances dor for a semiinfinite disordered chain coupled to the outside world by a semiinfinite perfect lead a set of equations is derived which provides the general framework for calculating the average dor for an arbitrary disorder and coupling strength these general equations are applied to the case of weak coupling and an asymptotically exact expression for the averaged dor is derived in the limit of small resonance width this expression is universal in the sense that it holds for any degree of disorder and everywhere in the unperturbed energy band | [['we', 'study', 'the', 'average', 'density', 'of', 'resonances', 'dor', 'for', 'a', 'semiinfinite', 'disordered', 'chain', 'coupled', 'to', 'the', 'outside', 'world', 'by', 'a', 'semiinfinite', 'perfect', 'lead', 'a', 'set', 'of', 'equations', 'is', 'derived', 'which', 'provides', 'the', 'general', 'framework', 'for', 'calculating', 'the', 'average', 'dor', 'for', 'an', 'arbitrary', 'disorder', 'and', 'coupling', 'strength', 'these', 'general', 'equations', 'are', 'applied', 'to', 'the', 'case', 'of', 'weak', 'coupling', 'and', 'an', 'asymptotically', 'exact', 'expression', 'for', 'the', 'averaged', 'dor', 'is', 'derived', 'in', 'the', 'limit', 'of', 'small', 'resonance', 'width', 'this', 'expression', 'is', 'universal', 'in', 'the', 'sense', 'that', 'it', 'holds', 'for', 'any', 'degree', 'of', 'disorder', 'and', 'everywhere', 'in', 'the', 'unperturbed', 'energy', 'band']] | [-0.16917299450922413, 0.1296914312823498, -0.02288263196548082, 0.05683990411662026, -0.020416188024982962, -0.13733928198878145, 0.035576410493189374, 0.3312367927187036, -0.22358753240292834, -0.2388283453171247, 0.025301468089347724, -0.2526201354627757, -0.125332816875991, 0.1970491344301203, 0.011886898212173242, 0.012387950525417463, 0.07084497828132559, 0.07548293157855106, -0.0502466636748274, -0.17720449738895772, 0.29901628420909043, 0.014698489770754096, 0.27697846165752593, 0.0778701217249804, 0.07536118918280933, 0.04604035613280673, 0.05591937683201059, 0.04714214218991626, -0.17129790392914634, 0.10603071566126261, 0.25113166730428477, 0.028877048109917296, 0.22721013808430932, -0.37034734936680686, -0.18921749043211186, 0.0750481247921119, 0.1574013027501744, 0.13718207741573876, -0.0038825758857671745, -0.2765752629439356, 0.09511099818172221, -0.15237763963448311, -0.2157672304448854, -0.010709811779718423, 0.08308193209513869, 0.01827512576590417, -0.3325356065785301, 0.12231761769670033, 0.05232767744431483, 0.06989878244198781, -0.11202014149790726, -0.06684855610545072, 0.0013545269804248184, 0.13372915514178343, 0.027046407119265384, 0.015543100781757961, 0.08576834529215835, -0.12127364099688213, -0.024468404291312872, 0.3780909397725746, -0.11319712057863314, -0.21208637186623724, 0.152343316814987, -0.13193894914572232, -0.09066217059039117, 0.14781603114391417, 0.1276278690766236, 0.1436502478978376, -0.14980230164550937, 0.15055928066116037, -0.03822675372891551, 0.153655499839776, 0.06204383467448894, 0.020860258135800586, 0.17941202716805885, 0.10358911137739868, 0.07954203456486623, 0.15342410555176592, -0.08285458714307584, -0.13227834458914153, -0.31872722627499056, -0.14437918962080262, -0.16714254947206408, 0.07702437924586006, -0.12725452367593199, -0.24813904609896012, 0.3928220090792351, 0.11396457092716221, 0.1628391503826859, 0.0691828735799231, 0.24013706561677234, 0.21600052152568902, 0.023180640989088827, 0.0986366166502775, 0.2712701499394919, 0.19824366322382517, 0.032293755061847645, -0.21770904920323148, 0.04805916573938712, 0.03468978796970368] |
711.1041 | Some Conformal Invariants from the Noncommutative Residue for Manifolds
with Boundary | We review previous work of Alain Connes, and its extension by the author, on
some conformal invariants obtained from the noncommutative residue on even
dimensional compact manifolds without boundary. Inspired by recent work of Yong
Wang, we also address possible generalizations of these conformal invariants to
the setting of compact manifolds with boundary.
| math.DG math-ph math.MP | we review previous work of alain connes and its extension by the author on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary inspired by recent work of yong wang we also address possible generalizations of these conformal invariants to the setting of compact manifolds with boundary | [['we', 'review', 'previous', 'work', 'of', 'alain', 'connes', 'and', 'its', 'extension', 'by', 'the', 'author', 'on', 'some', 'conformal', 'invariants', 'obtained', 'from', 'the', 'noncommutative', 'residue', 'on', 'even', 'dimensional', 'compact', 'manifolds', 'without', 'boundary', 'inspired', 'by', 'recent', 'work', 'of', 'yong', 'wang', 'we', 'also', 'address', 'possible', 'generalizations', 'of', 'these', 'conformal', 'invariants', 'to', 'the', 'setting', 'of', 'compact', 'manifolds', 'with', 'boundary']] | [-0.11399818037829872, 0.04366245166451301, -0.06045367726880425, 0.04636189229083511, -0.16511746313212053, -0.14891970214732694, -0.014837563916478516, 0.3109928602177017, -0.2267324559144535, -0.25345938498119136, 0.1456769010895547, -0.25921752885476035, -0.21141558224862478, 0.19808629334394662, -0.22763076589337355, 0.07677125739140155, 0.03604165035879837, 0.03324687542428948, -0.13749399163237475, -0.3163947645478161, 0.5172866825190074, 0.05553683055178175, 0.1752817800294889, 0.10553647161303263, 0.06093926490548084, 0.029381169981481332, -0.12123043887879488, 0.03865426790215216, -0.20402361692438992, 0.18757396334571377, 0.23895520941828782, 0.028312051088883065, 0.16125088480283628, -0.41190134500206077, -0.25516387535575424, 0.07189551240079245, 0.07117086399416879, 0.06892649656082592, -0.02983866958386915, -0.38356410628975424, 0.09678149218056, -0.15057068001830354, -0.16002083068959555, -0.08986467461295004, 0.009857730764263082, -0.07091804453224507, -0.1428373007297094, 0.0233158844579143, 0.16342714599351277, 0.11488010822180307, -0.10027924145106226, -0.10338370951841462, -0.004822114842750554, 0.038967739008718506, 0.05413706656896843, 0.07112714492733467, 0.07606699474085614, -0.05789309846556346, -0.20482209618291203, 0.252041265842909, -0.0471567321779593, -0.23223550318968747, 0.1825169838508064, -0.12658506939363368, -0.2381772173937621, 0.04760592859589829, 0.07796277111958501, 0.20887368949095034, -0.07299588228804323, 0.2322506509042556, -0.09630719054367323, -0.001609913319489866, 0.18816589620315805, -0.00042704368045307556, 0.12944526794665265, 0.05627519196285954, 0.034214832433411536, 0.15009648197348108, 0.040191733735209366, -0.09782978630611533, -0.33198854511709147, -0.18537019015694, -0.1603816848353676, 0.1820110622617715, -0.09101827487427487, -0.10348168223709711, 0.40525440564203374, 0.11417015339742098, 0.20073401793191772, 0.11193386236873437, 0.2371615193924814, 0.013706965240175431, 0.049115959932711326, 0.06641527593909007, 0.15517015599059206, 0.2519956436974682, 0.08261694821950821, -0.13862069574501015, -0.08159925593370747, 0.24356557080908767] |
711.1042 | Efficient light coupling from integrated single-mode waveguides to
supercollimating photonic crystals on silicon-on-insulator platforms | We propose a practical and efficient solution for the coupling of light from
integrated single-mode waveguides to supercollimating planar photonic crystals
on conventional silicon-on-insulator platforms. The device consists of a rib
waveguide, designed to sustain spatially extended single-modes and matched to a
supercollimating photonic crystal, which has been truncated at its boundary to
improve impedance matching between the two photonic components.
Three-dimensional simulations show transmission efficiencies up to 96 % and
reflections below 0.2 % at wavelengths close to 1.55 microns. This approach
constitutes a significant step toward the integration of supercollimating
structures on photonic chips.
| physics.optics | we propose a practical and efficient solution for the coupling of light from integrated singlemode waveguides to supercollimating planar photonic crystals on conventional silicononinsulator platforms the device consists of a rib waveguide designed to sustain spatially extended singlemodes and matched to a supercollimating photonic crystal which has been truncated at its boundary to improve impedance matching between the two photonic components threedimensional simulations show transmission efficiencies up to 96 and reflections below 02 at wavelengths close to 155 microns this approach constitutes a significant step toward the integration of supercollimating structures on photonic chips | [['we', 'propose', 'a', 'practical', 'and', 'efficient', 'solution', 'for', 'the', 'coupling', 'of', 'light', 'from', 'integrated', 'singlemode', 'waveguides', 'to', 'supercollimating', 'planar', 'photonic', 'crystals', 'on', 'conventional', 'silicononinsulator', 'platforms', 'the', 'device', 'consists', 'of', 'a', 'rib', 'waveguide', 'designed', 'to', 'sustain', 'spatially', 'extended', 'singlemodes', 'and', 'matched', 'to', 'a', 'supercollimating', 'photonic', 'crystal', 'which', 'has', 'been', 'truncated', 'at', 'its', 'boundary', 'to', 'improve', 'impedance', 'matching', 'between', 'the', 'two', 'photonic', 'components', 'threedimensional', 'simulations', 'show', 'transmission', 'efficiencies', 'up', 'to', '96', 'and', 'reflections', 'below', '02', 'at', 'wavelengths', 'close', 'to', '155', 'microns', 'this', 'approach', 'constitutes', 'a', 'significant', 'step', 'toward', 'the', 'integration', 'of', 'supercollimating', 'structures', 'on', 'photonic', 'chips']] | [-0.1146632324658855, 0.0993851184224089, -0.03932724280473125, -0.08714741779997023, -0.04687925842991199, -0.19718422936413296, 0.058291487380742066, 0.5158126856731151, -0.21557160430858213, -0.3168368124833671, 0.06424528516479142, -0.29488552736258633, -0.07486781132187173, 0.22795498875841017, -0.004222864604314729, 0.12446322331583047, 0.022384852100844666, -0.09278732712470716, -0.04572632972912122, -0.1457286194099554, 0.22024246658729288, 0.05163300095716872, 0.3600755868033977, 0.055734869493271715, 0.15189890264845152, -0.04761137840368094, 0.04003507002026484, -0.07069869707488725, -0.114481635111314, 0.1294863494814083, 0.27625562938591164, -0.06403632020647888, 0.25204895214448053, -0.44407362733236566, -0.1979302726335503, 0.02087469258275564, 0.1575184815352963, 0.11141222010752166, -0.05771460001587227, -0.268884755565875, 0.08633807288252458, -0.10233590728259065, -0.16676443848027897, 0.012743937442459727, -0.03235466397237233, -0.06106666531614078, -0.2353074231725787, -0.022518661083473314, -0.020042993429978128, 0.014459045303444709, -0.007855036847984357, -0.06451869817320458, -0.023110961756839226, 0.034136145236721684, -0.15416126370790503, 0.003983356883519039, 0.1492715969140972, -0.06977207912883211, -0.1607726972740424, 0.38334393735614514, -0.041793679334073054, -0.13574837486670221, 0.18085475509325344, -0.1133570255591504, -0.0035306859451035657, 0.19217866095864483, 0.24069460687635627, 0.04943402871609696, -0.10708864727583263, -0.0002962928083825416, 0.02278733472665271, 0.23297141115832073, 0.14973066817288117, 0.08493217687192624, 0.25703591306603724, 0.23564828561759124, 0.04210909428843235, 0.18175677643645735, -0.11698469747689062, -0.027169921435415745, -0.2407368955312557, -0.17283973900816574, -0.17408678116356974, 0.0300119103893878, -0.10078381391455575, -0.1955450562439779, 0.388749953519593, 0.1273683023448753, 0.12789164022893035, 0.012054903112271781, 0.3269717990601015, 0.08708574288394502, 0.1801182577243796, 0.039938714895998276, 0.3035599231239288, 0.16558756698073157, 0.11788738142919317, -0.18940276050469487, -0.061798674843063756, -0.049305401767493894] |
711.1043 | Cosmological models in scalar tensor theories of gravity and
observations: a class of general solutions | We consider cosmological models in scalar tensor theories of gravity that
describe an accelerating universe, and we study a family of inverse power law
potentials, for which exact solutions of the Einstein equations are known. We
also compare theoretical predictions of our models with observations. For this
we use the following data: the publicly available catalogs of type Ia
supernovae and high redshift Gamma Ray Bursts, the parameters of large scale
structure determined by the 2-degree Field Galaxy Redshift Survey (2dFGRS), and
measurements of cosmological distances based on the Sunyaev-Zel'dovich effect,
among others.
| astro-ph | we consider cosmological models in scalar tensor theories of gravity that describe an accelerating universe and we study a family of inverse power law potentials for which exact solutions of the einstein equations are known we also compare theoretical predictions of our models with observations for this we use the following data the publicly available catalogs of type ia supernovae and high redshift gamma ray bursts the parameters of large scale structure determined by the 2degree field galaxy redshift survey 2dfgrs and measurements of cosmological distances based on the sunyaevzeldovich effect among others | [['we', 'consider', 'cosmological', 'models', 'in', 'scalar', 'tensor', 'theories', 'of', 'gravity', 'that', 'describe', 'an', 'accelerating', 'universe', 'and', 'we', 'study', 'a', 'family', 'of', 'inverse', 'power', 'law', 'potentials', 'for', 'which', 'exact', 'solutions', 'of', 'the', 'einstein', 'equations', 'are', 'known', 'we', 'also', 'compare', 'theoretical', 'predictions', 'of', 'our', 'models', 'with', 'observations', 'for', 'this', 'we', 'use', 'the', 'following', 'data', 'the', 'publicly', 'available', 'catalogs', 'of', 'type', 'ia', 'supernovae', 'and', 'high', 'redshift', 'gamma', 'ray', 'bursts', 'the', 'parameters', 'of', 'large', 'scale', 'structure', 'determined', 'by', 'the', '2degree', 'field', 'galaxy', 'redshift', 'survey', '2dfgrs', 'and', 'measurements', 'of', 'cosmological', 'distances', 'based', 'on', 'the', 'sunyaevzeldovich', 'effect', 'among', 'others']] | [-0.09876839667358385, 0.0767257374985787, -0.07204442567402317, 0.12276080886017211, -0.15748726056828613, -0.09599454602557084, -0.019273714292594182, 0.36863394820642087, -0.19384363544003297, -0.29308147610275337, 0.05232788166106348, -0.32564642428550666, -0.06893294058760167, 0.2305501294873094, 0.03788843441256059, 0.016753737414155596, 0.06510805447776151, -0.05167532864437308, -0.056208269840534474, -0.29414523497063627, 0.3749040902957761, 0.13910353105635412, 0.24427896860225867, -0.06492467596125538, 0.1359405821522257, -0.09253661355544482, -0.13722820176933243, 0.04811494763419833, -0.2530789817161564, 0.07076199464650164, 0.20791970007974336, 0.1702755846894316, 0.18389135980928537, -0.36782019278935846, -0.2605840505841839, 0.12108770312405923, 0.13209026402503413, 0.13334968135196476, -0.07193403184458974, -0.28420039605829983, 0.06315453442925166, -0.19697032370153936, -0.14360892298501185, -0.018703117405855528, 0.002707262990385374, 0.08406680734998356, -0.21588083372453867, 0.1630844636116132, -0.03557349353908531, 0.05025722928625602, -0.14111081334156414, -0.08468178136935157, 0.034141517982828204, 0.06407477761248268, 0.07991114985923814, -0.00994703940977092, 0.07226110220215815, -0.18565597783483725, -0.08290379798986137, 0.4078747341728529, -0.10884191163925715, -0.07489166857508231, 0.13058348386348176, -0.17204414001135257, -0.18622143714818903, 0.020171073369271254, 0.19864232366734375, 0.11613629436064374, -0.1893993116701172, 0.13187158585248154, 0.012743265901301657, 0.17415548803945702, 0.010515747333986945, 0.010146177076059894, 0.24493848762264656, 0.08125571044342171, 0.007662193449113959, 0.0697743943742206, -0.12354627628910846, -0.014500150226697485, -0.345990644657724, -0.07968913942390192, -0.17731915733536646, 0.1102696872411436, -0.1890547456069892, -0.17207337812750892, 0.37274197212630705, 0.15664569573396797, 0.17876979583806749, 0.11862635347298697, 0.28318072884513806, 0.03924817937896938, 0.0748944458381463, 0.06353537966874341, 0.30189560467918075, 0.158711388188925, 0.0754112415040733, -0.21491067502547495, -0.02026770503250181, 0.04139492668271545] |
711.1044 | Can Massive Dark Haloes Destroy the Disks of Dwarf Galaxies? | Recent high-resolution simulations together with theoretical studies of the
dynamical evolution of galactic disks have shown that contrary to wide-held
beliefs a `live', dynamically responsive, dark halo surrounding a disk does not
stabilize the disk against dynamical instabilities. We generalize Toomre's Q
stability parameter for a disk-halo system and show that if a disk, which would
be otherwise stable, is embedded in a halo, which is too massive and cold, the
combined disk-halo system can become locally Jeans unstable. The good news is,
on the other hand, that this will not happen in real dark haloes, which are in
radial hydrostatic equilibrium. Even very low-mass disks are not prone to such
dynamical instabilities.
| astro-ph | recent highresolution simulations together with theoretical studies of the dynamical evolution of galactic disks have shown that contrary to wideheld beliefs a live dynamically responsive dark halo surrounding a disk does not stabilize the disk against dynamical instabilities we generalize toomres q stability parameter for a diskhalo system and show that if a disk which would be otherwise stable is embedded in a halo which is too massive and cold the combined diskhalo system can become locally jeans unstable the good news is on the other hand that this will not happen in real dark haloes which are in radial hydrostatic equilibrium even very lowmass disks are not prone to such dynamical instabilities | [['recent', 'highresolution', 'simulations', 'together', 'with', 'theoretical', 'studies', 'of', 'the', 'dynamical', 'evolution', 'of', 'galactic', 'disks', 'have', 'shown', 'that', 'contrary', 'to', 'wideheld', 'beliefs', 'a', 'live', 'dynamically', 'responsive', 'dark', 'halo', 'surrounding', 'a', 'disk', 'does', 'not', 'stabilize', 'the', 'disk', 'against', 'dynamical', 'instabilities', 'we', 'generalize', 'toomres', 'q', 'stability', 'parameter', 'for', 'a', 'diskhalo', 'system', 'and', 'show', 'that', 'if', 'a', 'disk', 'which', 'would', 'be', 'otherwise', 'stable', 'is', 'embedded', 'in', 'a', 'halo', 'which', 'is', 'too', 'massive', 'and', 'cold', 'the', 'combined', 'diskhalo', 'system', 'can', 'become', 'locally', 'jeans', 'unstable', 'the', 'good', 'news', 'is', 'on', 'the', 'other', 'hand', 'that', 'this', 'will', 'not', 'happen', 'in', 'real', 'dark', 'haloes', 'which', 'are', 'in', 'radial', 'hydrostatic', 'equilibrium', 'even', 'very', 'lowmass', 'disks', 'are', 'not', 'prone', 'to', 'such', 'dynamical', 'instabilities']] | [-0.14771249827586808, 0.16081499629777618, -0.15622244168699315, 0.12092641532726059, -0.13357602036764135, -0.11000804829234011, -0.026924479547764415, 0.3815442015936153, -0.21278288366223594, -0.26717007702496726, 0.11346327832928833, -0.23561677759908864, -0.07635081066560429, 0.17852935961867988, -0.04845729273686235, 0.01083552590530135, 0.06377546994872721, -0.03554609513932229, -0.018542695502066508, -0.27602086705773804, 0.3326925685447929, 0.0562573644719952, 0.14439465089874193, -0.030853687466196385, -0.007344937959554053, -0.11354782028675936, 0.00441862273944822, 0.03733116783926972, -0.16675646010413095, -0.002297368786602685, 0.24585783038189454, 0.07694607080924695, 0.2676183893942826, -0.44778862826328364, -0.2557964742315554, 0.1298290921078451, 0.23600513758385075, 0.11300211293577521, -0.11212723991917076, -0.23297926325524076, 0.15401652068789817, -0.20542966663441828, -0.17922030965822328, -0.061131340583407245, 0.016383964935136316, 0.021857243627505542, -0.2622257338680195, 0.10551115246159973, 0.08445377298450485, 0.0004429180263665266, -0.09956832313745291, -0.035784779955113755, -0.11660382084433088, 0.04183123817572584, 0.037188307136973055, 0.04969853519223037, 0.2589262590745662, -0.13644395377775406, -0.008695062653746753, 0.42085105714808524, -0.05107848333149522, -0.15981274096509523, 0.293943614319824, -0.17154360532892488, -0.155320056615216, 0.12475170864748349, 0.14827052849155348, 0.1061215698224517, -0.09367375370049108, 0.04424853174250771, -0.07514801740530977, 0.25143601389321607, 0.03795532495673515, 0.003658486826889283, 0.3570075682405613, 0.10020493492648928, 0.0874648178861666, 0.04567339358206393, -0.06568028327629827, -0.14082447844928345, -0.1981865838829395, -0.09688529862601937, -0.11124079092817826, 0.045366458898071255, -0.06136879956620679, -0.1754560635671889, 0.2635474230731483, 0.13376290658159198, 0.220422598467398, 0.02331777859700172, 0.33615352209261823, 0.04067597985762147, 0.09422003327811186, 0.1328059903477871, 0.317891255350767, 0.10455142848391448, 0.07428644509755272, -0.23214737243076736, 0.07944662535312767, -0.04564924618905097] |
711.1045 | Mirrorfolds with K3 Fibrations | We study a class of non-geometric string vacua realized as completely soluble
superconformal field theory (SCFT). These models are defined as `interpolating
orbifolds' of $K3 \times S^1$ by the mirror transformation acting on the $K3$
fiber combined with the half-shift on the $S^1$-base. They are variants of the
T-folds, the interpolating orbifolds by T-duality transformations, and thus may
be called `mirrorfolds'. Starting with arbitrary (compact or non-compact)
Gepner models for the $K3$ fiber, we construct modular invariant partition
functions of general mirrorfold models. In the case of compact $K3$ fiber the
mirrorfolds only yield non-supersymmetric string vacua. They exhibit IR
instability due to winding tachyon condensation which is similar to the
Scherk-Schwarz type circle compactification. When the fiber SCFT is non-compact
(say, the ALE space in the simplest case), on the other hand, both
supersymmetric and non-supersymmetric vacua can be constructed. The non-compact
non-supersymmetric mirrorfolds can get stabilised at the level of string
perturbation theory. We also find that in the non-compact supersymmeric
mirrorfolds D-branes are {\em always} non-BPS. These D-branes can get
stabilized against both open- and closed-string marginal deformations.
| hep-th | we study a class of nongeometric string vacua realized as completely soluble superconformal field theory scft these models are defined as interpolating orbifolds of k3 times s1 by the mirror transformation acting on the k3 fiber combined with the halfshift on the s1base they are variants of the tfolds the interpolating orbifolds by tduality transformations and thus may be called mirrorfolds starting with arbitrary compact or noncompact gepner models for the k3 fiber we construct modular invariant partition functions of general mirrorfold models in the case of compact k3 fiber the mirrorfolds only yield nonsupersymmetric string vacua they exhibit ir instability due to winding tachyon condensation which is similar to the scherkschwarz type circle compactification when the fiber scft is noncompact say the ale space in the simplest case on the other hand both supersymmetric and nonsupersymmetric vacua can be constructed the noncompact nonsupersymmetric mirrorfolds can get stabilised at the level of string perturbation theory we also find that in the noncompact supersymmeric mirrorfolds dbranes are em always nonbps these dbranes can get stabilized against both open and closedstring marginal deformations | [['we', 'study', 'a', 'class', 'of', 'nongeometric', 'string', 'vacua', 'realized', 'as', 'completely', 'soluble', 'superconformal', 'field', 'theory', 'scft', 'these', 'models', 'are', 'defined', 'as', 'interpolating', 'orbifolds', 'of', 'k3', 'times', 's1', 'by', 'the', 'mirror', 'transformation', 'acting', 'on', 'the', 'k3', 'fiber', 'combined', 'with', 'the', 'halfshift', 'on', 'the', 's1base', 'they', 'are', 'variants', 'of', 'the', 'tfolds', 'the', 'interpolating', 'orbifolds', 'by', 'tduality', 'transformations', 'and', 'thus', 'may', 'be', 'called', 'mirrorfolds', 'starting', 'with', 'arbitrary', 'compact', 'or', 'noncompact', 'gepner', 'models', 'for', 'the', 'k3', 'fiber', 'we', 'construct', 'modular', 'invariant', 'partition', 'functions', 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711.1046 | Classical probability waves | Probability waves in the configuration space are associated with coherent
solutions of the classical Liouville or Fokker-Planck equations. Distributions
localized in the momentum space provide action waves, specified by the
probability density and the generating function of the Hamilton-Jacobi theory.
It is shown that by introducing a minimum distance in the coordinate space, the
action distributions aquire the energy dispersion specific to the quantum
objects. At finite temperature, probability density waves propagating with the
sound velocity are obtained as nonstationary solutions of the classical
Fokker-Planck equation. The results suggest that in a system of quantum
Brownian particles, a transition from complex to real probability waves could
be observed.
| quant-ph gr-qc math-ph math.MP | probability waves in the configuration space are associated with coherent solutions of the classical liouville or fokkerplanck equations distributions localized in the momentum space provide action waves specified by the probability density and the generating function of the hamiltonjacobi theory it is shown that by introducing a minimum distance in the coordinate space the action distributions aquire the energy dispersion specific to the quantum objects at finite temperature probability density waves propagating with the sound velocity are obtained as nonstationary solutions of the classical fokkerplanck equation the results suggest that in a system of quantum brownian particles a transition from complex to real probability waves could be observed | [['probability', 'waves', 'in', 'the', 'configuration', 'space', 'are', 'associated', 'with', 'coherent', 'solutions', 'of', 'the', 'classical', 'liouville', 'or', 'fokkerplanck', 'equations', 'distributions', 'localized', 'in', 'the', 'momentum', 'space', 'provide', 'action', 'waves', 'specified', 'by', 'the', 'probability', 'density', 'and', 'the', 'generating', 'function', 'of', 'the', 'hamiltonjacobi', 'theory', 'it', 'is', 'shown', 'that', 'by', 'introducing', 'a', 'minimum', 'distance', 'in', 'the', 'coordinate', 'space', 'the', 'action', 'distributions', 'aquire', 'the', 'energy', 'dispersion', 'specific', 'to', 'the', 'quantum', 'objects', 'at', 'finite', 'temperature', 'probability', 'density', 'waves', 'propagating', 'with', 'the', 'sound', 'velocity', 'are', 'obtained', 'as', 'nonstationary', 'solutions', 'of', 'the', 'classical', 'fokkerplanck', 'equation', 'the', 'results', 'suggest', 'that', 'in', 'a', 'system', 'of', 'quantum', 'brownian', 'particles', 'a', 'transition', 'from', 'complex', 'to', 'real', 'probability', 'waves', 'could', 'be', 'observed']] | [-0.15118405708711147, 0.20615748375119572, -0.12162246839660737, 0.08116551267556604, -0.0562045854361107, -0.0748418510020538, -0.006889293046832016, 0.308237150714612, -0.2807011095487892, -0.2498364817282116, 0.031656805320246215, -0.2948884281105603, -0.12917343494094288, 0.1618185809153753, -0.009652021181493721, 0.10704316961992946, 0.05402905735320895, 0.06691897296183959, -0.060599274696195846, -0.16140372467473046, 0.3398780567006691, 0.0414523036107076, 0.2719552877134885, -0.030002860628344393, 0.14812076441874658, -0.011477002404043797, 0.012197664628426233, 0.03476638086835414, -0.13588168432020378, 0.06602811055145813, 0.23985063411398894, 0.1008040590160009, 0.23647165113059734, -0.4240470434263073, -0.29406028321116334, 0.06319598022512057, 0.1232324259841267, 0.11980663390002316, -0.04381491960440245, -0.3633428149063278, 0.016410880874631134, -0.13197103808461516, -0.21243071858771145, -0.027690239362763585, 0.049315961414120264, 0.09647749617902769, -0.23405854031443596, 0.13090906648775907, 0.015102373599937116, -0.014853859320282936, -0.114367047091946, -0.04580061347116026, -0.0810709092572021, 0.05836996239506536, 0.04064005762079938, 0.05900363568475263, 0.10921948565805063, -0.14109763894143892, -0.10313509950086612, 0.36696028109225964, -0.08925091857909812, -0.2889447368129536, 0.17626481647150488, -0.2079735962173867, -0.03264191328910076, 0.17915143433061462, 0.15332177255509627, 0.13375727545590727, -0.13461786245278307, 0.10615526450123138, -0.007585615143869762, 0.11872546511046865, 0.088269466801581, 0.04428030275394795, 0.2193162515931935, 0.08018762828713213, 0.07417208653943683, 0.10319747427086069, -0.0774002245167072, -0.15819402401232058, -0.33021400549828456, -0.17032996837386033, -0.20769737327592103, 0.06483378291078326, -0.11999996131945173, -0.17843862848989106, 0.3616168558882136, 0.12156313655294879, 0.18273216988287727, 0.07714587201459196, 0.2512253903206093, 0.24596118663881766, 0.005325294862915244, 0.0931734073933007, 0.20045189451667722, 0.1598906728883136, 0.07745207687494932, -0.2224600279414854, 0.029116083031382273, 0.09818726340395019] |
711.1047 | Core polarization in coupled-cluster theory induced by a parity and
time-reversal violating interaction | The effects of parity and time reversal violating potential, in particular
the tensor-pseudotensor electron nucleus interaction are studied. We establish
that selected terms representing the interplay of these effects and the
residual Coulomb interaction in the coupled-cluster method are equivalent to
the coupled perturbed Hartree-Fock. We have shown that the {\em normal} CPHF
diagrams have a one-one correspondance in the coupled-cluster theory, but the
CPHF pseudo diagrams are present in a subtle way. We have studied the {\em
pseudo} diagrams in great detail and have shown explicitly their origin in
coupled-cluster theory. This is demonstrated by considering the case of the
permanent electric dipole moment of atomic Hg and our results are compared with
the results of an earlier calculation.
| physics.atom-ph | the effects of parity and time reversal violating potential in particular the tensorpseudotensor electron nucleus interaction are studied we establish that selected terms representing the interplay of these effects and the residual coulomb interaction in the coupledcluster method are equivalent to the coupled perturbed hartreefock we have shown that the em normal cphf diagrams have a oneone correspondance in the coupledcluster theory but the cphf pseudo diagrams are present in a subtle way we have studied the em pseudo diagrams in great detail and have shown explicitly their origin in coupledcluster theory this is demonstrated by considering the case of the permanent electric dipole moment of atomic hg and our results are compared with the results of an earlier calculation | [['the', 'effects', 'of', 'parity', 'and', 'time', 'reversal', 'violating', 'potential', 'in', 'particular', 'the', 'tensorpseudotensor', 'electron', 'nucleus', 'interaction', 'are', 'studied', 'we', 'establish', 'that', 'selected', 'terms', 'representing', 'the', 'interplay', 'of', 'these', 'effects', 'and', 'the', 'residual', 'coulomb', 'interaction', 'in', 'the', 'coupledcluster', 'method', 'are', 'equivalent', 'to', 'the', 'coupled', 'perturbed', 'hartreefock', 'we', 'have', 'shown', 'that', 'the', 'em', 'normal', 'cphf', 'diagrams', 'have', 'a', 'oneone', 'correspondance', 'in', 'the', 'coupledcluster', 'theory', 'but', 'the', 'cphf', 'pseudo', 'diagrams', 'are', 'present', 'in', 'a', 'subtle', 'way', 'we', 'have', 'studied', 'the', 'em', 'pseudo', 'diagrams', 'in', 'great', 'detail', 'and', 'have', 'shown', 'explicitly', 'their', 'origin', 'in', 'coupledcluster', 'theory', 'this', 'is', 'demonstrated', 'by', 'considering', 'the', 'case', 'of', 'the', 'permanent', 'electric', 'dipole', 'moment', 'of', 'atomic', 'hg', 'and', 'our', 'results', 'are', 'compared', 'with', 'the', 'results', 'of', 'an', 'earlier', 'calculation']] | [-0.12475975750850797, 0.13830002262052327, -0.06971933538986022, 0.11023726427564555, 0.01724903318652157, -0.07610250173641717, 0.0062179808979419895, 0.39775585576544625, -0.2145072241645243, -0.2977479872633151, -0.000864205391627689, -0.30141725740790115, -0.17009107493479753, 0.11509361922330523, 0.026857898254894604, 0.0054838795222784, 0.01418377726804465, 0.05106381866765224, -0.11289911937378978, -0.2323258202049439, 0.3057678556227583, 0.04748579918138557, 0.24781838862099131, 0.08200044627011589, 0.03209940002741829, 0.01904980394835347, -0.029113646028405528, 0.05733620749896992, -0.0912863467313138, 0.12325510494430723, 0.19870055863886313, 0.03299461051000882, 0.21689691999927163, -0.46053431415141133, -0.1572302030557293, 0.07165154514802714, 0.13440506458598173, 0.14818699611350894, -0.1030127527429012, -0.31197289173625475, 0.04755165774801399, -0.1994110497693389, -0.13314497578589213, -0.13037123799844944, 0.020947669159179016, 0.06952242112829018, -0.22822626199478568, 0.06054332324351042, 0.05129141503376728, 0.06058328026526813, -0.06871948344041041, -0.14939302966882617, -0.015190919239658042, 0.09228800716652077, 0.06613663425156058, 0.03353218037449613, 0.07670873324697546, -0.11713981471355941, -0.126609919419595, 0.399955336849, -0.039619622424529016, -0.18947110077074208, 0.16073315638764682, -0.16586769967324147, -0.12955287669516974, 0.11203440867948457, 0.10631528317383727, 0.1419853286904488, -0.1598044143342492, 0.15561173339098125, -0.026901409479836793, 0.09578773139391915, 0.052518795704137596, 0.0377725385034741, 0.1610827480079764, 0.09090993513345276, -0.015362905287104895, 0.15108717590870369, -0.09307559883573203, -0.14417359561233198, -0.2917221579385006, -0.10032883278583571, -0.1433233353388259, -0.0003504552641662501, -0.04629799834071753, -0.16957376017067502, 0.37440170534275735, 0.12856582522992108, 0.1333450695415426, -0.016346861588595024, 0.26458615077249076, 0.16344547982749894, 0.07299662618384839, 0.00907774721430141, 0.3389439787478897, 0.20171174671603526, 0.03854071955301136, -0.2868710323513122, 0.04428507794302462, 0.08760524076267572] |
711.1048 | Hamiltonian of two spinning compact bodies with next-to-leading order
gravitational spin-orbit coupling | A Hamiltonian formulation is given for the gravitational dynamics of two
spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the
spin-orbit interaction. We use a novel approach (valid to linear order in the
spins), which starts from the second-post-Newtonian metric (in ADM coordinates)
generated by two spinless bodies, and computes the next-to-leading order
precession, in this metric, of suitably redefined ``constant-magnitude''
3-dimensional spin vectors ${\bf S}_1$, ${\bf S}_2$. We prove the Poincar\'e
invariance of our Hamiltonian by explicitly constructing ten phase-space
generators realizing the Poincar\'e algebra. A remarkable feature of our
approach is that it allows one to derive the {\it orbital} equations of motion
of spinning binaries to next-to-leading order in spin-orbit coupling without
having to solve Einstein's field equations with a spin-dependent stress tensor.
We show that our Hamiltonian (orbital and spin) dynamics is equivalent to the
dynamics recently obtained by Faye, Blanchet, and Buonanno, by solving
Einstein's equations in harmonic coordinates.
| gr-qc | a hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to nexttoleading order gc4 and g2c4 in the spinorbit interaction we use a novel approach valid to linear order in the spins which starts from the secondpostnewtonian metric in adm coordinates generated by two spinless bodies and computes the nexttoleading order precession in this metric of suitably redefined constantmagnitude 3dimensional spin vectors bf s_1 bf s_2 we prove the poincare invariance of our hamiltonian by explicitly constructing ten phasespace generators realizing the poincare algebra a remarkable feature of our approach is that it allows one to derive the it orbital equations of motion of spinning binaries to nexttoleading order in spinorbit coupling without having to solve einsteins field equations with a spindependent stress tensor we show that our hamiltonian orbital and spin dynamics is equivalent to the dynamics recently obtained by faye blanchet and buonanno by solving einsteins equations in harmonic coordinates | [['a', 'hamiltonian', 'formulation', 'is', 'given', 'for', 'the', 'gravitational', 'dynamics', 'of', 'two', 'spinning', 'compact', 'bodies', 'to', 'nexttoleading', 'order', 'gc4', 'and', 'g2c4', 'in', 'the', 'spinorbit', 'interaction', 'we', 'use', 'a', 'novel', 'approach', 'valid', 'to', 'linear', 'order', 'in', 'the', 'spins', 'which', 'starts', 'from', 'the', 'secondpostnewtonian', 'metric', 'in', 'adm', 'coordinates', 'generated', 'by', 'two', 'spinless', 'bodies', 'and', 'computes', 'the', 'nexttoleading', 'order', 'precession', 'in', 'this', 'metric', 'of', 'suitably', 'redefined', 'constantmagnitude', '3dimensional', 'spin', 'vectors', 'bf', 's_1', 'bf', 's_2', 'we', 'prove', 'the', 'poincare', 'invariance', 'of', 'our', 'hamiltonian', 'by', 'explicitly', 'constructing', 'ten', 'phasespace', 'generators', 'realizing', 'the', 'poincare', 'algebra', 'a', 'remarkable', 'feature', 'of', 'our', 'approach', 'is', 'that', 'it', 'allows', 'one', 'to', 'derive', 'the', 'it', 'orbital', 'equations', 'of', 'motion', 'of', 'spinning', 'binaries', 'to', 'nexttoleading', 'order', 'in', 'spinorbit', 'coupling', 'without', 'having', 'to', 'solve', 'einsteins', 'field', 'equations', 'with', 'a', 'spindependent', 'stress', 'tensor', 'we', 'show', 'that', 'our', 'hamiltonian', 'orbital', 'and', 'spin', 'dynamics', 'is', 'equivalent', 'to', 'the', 'dynamics', 'recently', 'obtained', 'by', 'faye', 'blanchet', 'and', 'buonanno', 'by', 'solving', 'einsteins', 'equations', 'in', 'harmonic', 'coordinates']] | [-0.1948018845110651, 0.12513473153775256, -0.07711183380996509, 0.03424742301144908, -0.1016105177121297, -0.09774624928569181, -0.07174404983656602, 0.3163787055580366, -0.234365935411845, -0.2785046837773294, -0.003876344013899084, -0.2756025699614134, -0.12427764403663816, 0.14555768895774118, -0.015710447235934195, 0.0665453739284027, 0.029941666405647993, 0.011622975409151085, -0.1226357024538541, -0.2506698075546733, 0.32040953910449566, 0.00417862584393832, 0.17399402374341602, -0.011699036046141578, 0.17326530797346945, 0.04662173196801075, 0.036836736224171135, 0.0033408600446437637, -0.12100227156160175, 0.12189419401674381, 0.23538825583471465, 0.03733108012876924, 0.17960235790439671, -0.4134201104963018, -0.15520242348148097, 0.029295076817394263, 0.10205152596557332, 0.1736656372412859, 0.0014551847256840237, -0.3202931343788101, 0.031513074388907804, -0.22318310208858982, -0.17687901783313964, -0.14446051961201573, 0.07612971068968276, -0.040520726928427335, -0.27030192304462675, 0.07333588437928308, 0.10681884415042137, 0.0013021653638251366, -0.08427408210850591, -0.05092447348419697, -0.06079765165585183, 0.034841802247589634, 0.07882278629188096, 0.09640066169743096, 0.08968542572711745, -0.06915779670610303, -0.13649006595331875, 0.4333121530110798, -0.09605066027462242, -0.2758520001665719, 0.11170219899635882, -0.17823763227751177, -0.11482768196522468, 0.1132497958448385, 0.14968280075418372, 0.17533729009089932, -0.19122746782677788, 0.1527723766187386, 0.006336032300286235, 0.12436742561779195, 0.0779425348906267, -0.01587066831547887, 0.21213163410223299, 0.07602043525586205, 0.04047934196348633, 0.10840619894405526, -0.039375123760152245, -0.14433936814687426, -0.31570908910324497, -0.1455010590158523, -0.20512621284973237, 0.10964085635759177, -0.12648028902852188, -0.11233491124491388, 0.3826751238215835, 0.15714645389347306, 0.13712232967936283, 0.06144735812314696, 0.24932731552830628, 0.12169103837391783, 0.0649138145588128, 0.1100049065155608, 0.27308684076302714, 0.19721041978487083, 0.049412805190490135, -0.2655419085580375, -0.056831741777639236, 0.1766490718560113] |
711.1049 | Non-unitary leptonic mixing and CP-violation | Some theories of new physics accounting for neutrino masses can give rise to
a low-energy non-unitary leptonic mixing matrix. It is shown that the
CP-asymmetries in the $\nu_\mu\to \nu_\tau$ channel are an excellent probe of
such new physics. In adition, we clarify the relationship betweeen our
framework and the so called "non-standard neutrino interactions" scenarios: the
sensitivities explored here apply as well to such constructions, except for
extremely fine-tuned cancellations.
| hep-ph | some theories of new physics accounting for neutrino masses can give rise to a lowenergy nonunitary leptonic mixing matrix it is shown that the cpasymmetries in the nu_muto nu_tau channel are an excellent probe of such new physics in adition we clarify the relationship betweeen our framework and the so called nonstandard neutrino interactions scenarios the sensitivities explored here apply as well to such constructions except for extremely finetuned cancellations | [['some', 'theories', 'of', 'new', 'physics', 'accounting', 'for', 'neutrino', 'masses', 'can', 'give', 'rise', 'to', 'a', 'lowenergy', 'nonunitary', 'leptonic', 'mixing', 'matrix', 'it', 'is', 'shown', 'that', 'the', 'cpasymmetries', 'in', 'the', 'nu_muto', 'nu_tau', 'channel', 'are', 'an', 'excellent', 'probe', 'of', 'such', 'new', 'physics', 'in', 'adition', 'we', 'clarify', 'the', 'relationship', 'betweeen', 'our', 'framework', 'and', 'the', 'so', 'called', 'nonstandard', 'neutrino', 'interactions', 'scenarios', 'the', 'sensitivities', 'explored', 'here', 'apply', 'as', 'well', 'to', 'such', 'constructions', 'except', 'for', 'extremely', 'finetuned', 'cancellations']] | [-0.0748594338523357, 0.23252918202550582, -0.043196669118645205, 0.23655202469422615, -0.08274141564033925, -0.18296102681197227, 0.02787859355032976, 0.3248813569545746, -0.2463927580575858, -0.2958625756004559, 0.04158064491847264, -0.25308560622589926, -0.1534095071721822, 0.184198120984781, 0.008500989476617957, 0.03351699107193521, 0.03521804755686649, -0.009030587439026152, -0.11085951133032462, -0.1834905831908275, 0.25849555992920487, 0.06909942907680358, 0.20255135367957078, 0.11419091341750963, 0.058891981986484356, -0.04754899591872735, -0.05818302195652255, -0.06951592967712454, -0.1457003528623318, 0.019564753940462, 0.24850070428635393, 0.10799590825834977, 0.09413554051757923, -0.40191836833421674, -0.1712270036805421, 0.15028282194065729, 0.16726762136178358, 0.11797136595206602, -0.08307244757722532, -0.3072945318051747, 0.029408008566991026, -0.2137190935068897, -0.11083633646901164, -0.1557824655735333, -0.02986008260133011, -0.07862039990057902, -0.3440061936953238, 0.040506648824417166, -0.005400356076591249, -0.019963211353336063, 0.003968864098403304, -0.1726398259767198, 0.04741775005656693, 0.11685302373620549, 0.11333256827534309, -0.0385737129087959, 0.05803551598052893, -0.15918231482750603, -0.11482704734163625, 0.41074804703571965, -0.045493678728650726, -0.17943062936621054, 0.20284863443396586, -0.12529826834964167, -0.15837341836387558, 0.0888058406833027, 0.15518916411591427, 0.05892066259735397, -0.18799655144102873, 0.14389387522075725, -0.07257331128764366, 0.105553434356781, 0.02940233954494553, 0.10481110008300415, 0.2447247838335378, 0.20153241866002125, 0.058343844062515665, 0.003403829623545919, -0.08083418027630875, -0.05590131218944277, -0.3840646134622927, -0.12978777230850289, -0.08321122363475816, 0.07866794184748349, -0.05996129396350755, -0.13641960453366794, 0.40333726342235293, 0.16937040148435958, 0.2059716090027775, 0.016301374576453653, 0.2364271642440664, 0.05735161388958139, 0.06611390024689691, 0.014365499699488282, 0.3405460468580713, 0.18976735126759325, 0.07449894407764077, -0.22788678512110241, 0.04331475203881772, 0.04520874344078558] |
711.105 | On the backwards difference filter | It is usual in helioseismology to remove unwanted instrumental low-frequency
trends by applying high-pass filters to the time series. However, the choice of
the filter is very important because it can keep the periodic signals
throughout the spectrum. At the same time, these filters should not introduce
any spurious effects on the remaining signal, which would modify the periodic
signatures in the Fourier domain. One of the most used filters is the so-called
backwards difference filter that can be applied when the time series are
regularly sampled. The problem of this filter is that the amplitudes and the
phases of the periodic signals in the Fourier domain are modified and,
therefore, their extracted amplitudes are biased when the frequency of the
periodic signals decreases. The objective of this research note is to give a
correction that could be applied to the power spectrum to over come this
problem. We properly derive the transfer function of the backwards difference
filter and we show how this can be applied to the power spectrum to correct the
amplitudes. For the amplitude spectrum and the time series, we also derive a
correction for the phase. The amplitudes of the periodic signals in the
resultant power spectrum density are corrected from the cut-off frequency down
to zero.
| astro-ph | it is usual in helioseismology to remove unwanted instrumental lowfrequency trends by applying highpass filters to the time series however the choice of the filter is very important because it can keep the periodic signals throughout the spectrum at the same time these filters should not introduce any spurious effects on the remaining signal which would modify the periodic signatures in the fourier domain one of the most used filters is the socalled backwards difference filter that can be applied when the time series are regularly sampled the problem of this filter is that the amplitudes and the phases of the periodic signals in the fourier domain are modified and therefore their extracted amplitudes are biased when the frequency of the periodic signals decreases the objective of this research note is to give a correction that could be applied to the power spectrum to over come this problem we properly derive the transfer function of the backwards difference filter and we show how this can be applied to the power spectrum to correct the amplitudes for the amplitude spectrum and the time series we also derive a correction for the phase the amplitudes of the periodic signals in the resultant power spectrum density are corrected from the cutoff frequency down to zero | [['it', 'is', 'usual', 'in', 'helioseismology', 'to', 'remove', 'unwanted', 'instrumental', 'lowfrequency', 'trends', 'by', 'applying', 'highpass', 'filters', 'to', 'the', 'time', 'series', 'however', 'the', 'choice', 'of', 'the', 'filter', 'is', 'very', 'important', 'because', 'it', 'can', 'keep', 'the', 'periodic', 'signals', 'throughout', 'the', 'spectrum', 'at', 'the', 'same', 'time', 'these', 'filters', 'should', 'not', 'introduce', 'any', 'spurious', 'effects', 'on', 'the', 'remaining', 'signal', 'which', 'would', 'modify', 'the', 'periodic', 'signatures', 'in', 'the', 'fourier', 'domain', 'one', 'of', 'the', 'most', 'used', 'filters', 'is', 'the', 'socalled', 'backwards', 'difference', 'filter', 'that', 'can', 'be', 'applied', 'when', 'the', 'time', 'series', 'are', 'regularly', 'sampled', 'the', 'problem', 'of', 'this', 'filter', 'is', 'that', 'the', 'amplitudes', 'and', 'the', 'phases', 'of', 'the', 'periodic', 'signals', 'in', 'the', 'fourier', 'domain', 'are', 'modified', 'and', 'therefore', 'their', 'extracted', 'amplitudes', 'are', 'biased', 'when', 'the', 'frequency', 'of', 'the', 'periodic', 'signals', 'decreases', 'the', 'objective', 'of', 'this', 'research', 'note', 'is', 'to', 'give', 'a', 'correction', 'that', 'could', 'be', 'applied', 'to', 'the', 'power', 'spectrum', 'to', 'over', 'come', 'this', 'problem', 'we', 'properly', 'derive', 'the', 'transfer', 'function', 'of', 'the', 'backwards', 'difference', 'filter', 'and', 'we', 'show', 'how', 'this', 'can', 'be', 'applied', 'to', 'the', 'power', 'spectrum', 'to', 'correct', 'the', 'amplitudes', 'for', 'the', 'amplitude', 'spectrum', 'and', 'the', 'time', 'series', 'we', 'also', 'derive', 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711.1051 | Low-energy structure of the intertwining double-chain ferrimagnets
A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb) | Motivated by the homometallic intertwining double-chain ferrimagnets
A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb), we investigate the low-energy structure of
their model Hamiltonian H=\sum_n_[J_1_(S_{n :1}_+S_{n :3}_)
+J_2_(S_{n+1:1}+S_{n-1:3}_)]\cdotS_{n:2}_, where S_{n:l}_ stands for the
Cu^{2+}^ ion spin labeled l in the nth trimer unit, with particular emphasis on
the range of bond alternation 0<J_2/J_1<1. Although the spin-wave theory,
whether up to O(S^1^) or up to O(S^0^), claims that there exists a flat band in
the excitation spectrum regardless of bond alternation, a perturbational
treatment as well as the exact diagonalization of the Hamiltonian reveals its
weak but nonvanishing momentum dispersion unless J_2_=J_1_ or J_2_=0. Quantum
Monte Carlo calculations of the static structure factor further convince us of
the low-lying excitation mechanism, elucidating similarities and differences
between the present system and alternating-spin linear-chain ferrimagnets.
| cond-mat.str-el cond-mat.stat-mech | motivated by the homometallic intertwining doublechain ferrimagnets a_3_cu_3_po_4__4_ acasrpb we investigate the lowenergy structure of their model hamiltonian hsum_n_j_1_s_n 1_s_n 3_ j_2_s_n11s_n13_cdots_n2_ where s_nl_ stands for the cu2 ion spin labeled l in the nth trimer unit with particular emphasis on the range of bond alternation 0j_2j_11 although the spinwave theory whether up to os1 or up to os0 claims that there exists a flat band in the excitation spectrum regardless of bond alternation a perturbational treatment as well as the exact diagonalization of the hamiltonian reveals its weak but nonvanishing momentum dispersion unless j_2_j_1_ or j_2_0 quantum monte carlo calculations of the static structure factor further convince us of the lowlying excitation mechanism elucidating similarities and differences between the present system and alternatingspin linearchain ferrimagnets | [['motivated', 'by', 'the', 'homometallic', 'intertwining', 'doublechain', 'ferrimagnets', 'a_3_cu_3_po_4__4_', 'acasrpb', 'we', 'investigate', 'the', 'lowenergy', 'structure', 'of', 'their', 'model', 'hamiltonian', 'hsum_n_j_1_s_n', '1_s_n', '3_', 'j_2_s_n11s_n13_cdots_n2_', 'where', 's_nl_', 'stands', 'for', 'the', 'cu2', 'ion', 'spin', 'labeled', 'l', 'in', 'the', 'nth', 'trimer', 'unit', 'with', 'particular', 'emphasis', 'on', 'the', 'range', 'of', 'bond', 'alternation', '0j_2j_11', 'although', 'the', 'spinwave', 'theory', 'whether', 'up', 'to', 'os1', 'or', 'up', 'to', 'os0', 'claims', 'that', 'there', 'exists', 'a', 'flat', 'band', 'in', 'the', 'excitation', 'spectrum', 'regardless', 'of', 'bond', 'alternation', 'a', 'perturbational', 'treatment', 'as', 'well', 'as', 'the', 'exact', 'diagonalization', 'of', 'the', 'hamiltonian', 'reveals', 'its', 'weak', 'but', 'nonvanishing', 'momentum', 'dispersion', 'unless', 'j_2_j_1_', 'or', 'j_2_0', 'quantum', 'monte', 'carlo', 'calculations', 'of', 'the', 'static', 'structure', 'factor', 'further', 'convince', 'us', 'of', 'the', 'lowlying', 'excitation', 'mechanism', 'elucidating', 'similarities', 'and', 'differences', 'between', 'the', 'present', 'system', 'and', 'alternatingspin', 'linearchain', 'ferrimagnets']] | [-0.1526190089824222, 0.15773959011169134, -0.019578942468604154, 0.08624701708373902, -0.036619288669651855, -0.1444649118518012, 0.09638122474028836, 0.39462134121727627, -0.2746574795285685, -0.28395483054661613, 0.011668456951156259, -0.30823602795238253, -0.11628048953577563, 0.10475069564041904, 0.10490467224632745, 0.009989859325609344, 0.02966926753339646, 0.025856600707578184, -0.10021133889625491, -0.15113125949587047, 0.3012202874452403, 0.09311531140959402, 0.2637826696850063, 0.0858446855460648, 0.07830201128839755, 0.05108643761028297, 0.06335116958295085, -0.0284242692972179, -0.1591517451712867, 0.10555210091437386, 0.21572215671741726, -0.024498992397622987, 0.2123008508367085, -0.43083281294170733, -0.16560935117386744, 0.06379637266385609, 0.16247875473783474, 0.14827301340853483, -0.014027567461866522, -0.2529205177473811, 0.006224002919893349, -0.20825974222177854, -0.16686583670944108, -0.11411113569315161, 0.025737530924791915, -0.0035322094171316223, -0.22042586612082457, 0.10673464499867266, 0.08986975562622754, 0.1070177760319676, -0.07041319520975076, -0.12949499468405656, -0.09246293986339814, 0.09222305900689247, 0.0712548132096747, 0.03722183616518711, 0.08051238825495265, -0.09843716809971143, -0.13836774585018577, 0.39462165461144355, -0.029801715709334983, -0.15254468043062802, 0.1400371287883449, -0.17244050487261925, -0.12351222533477157, 0.10752345976601066, 0.059790211482451554, 0.1010955259434681, -0.08033982556482233, 0.13016059831407054, -0.04058822481563331, 0.19538311157504995, 0.045590213044346684, 0.05409931702811304, 0.2097661541445197, 0.14148347956577595, 0.036853773020768324, 0.1293547310130063, -0.0754332877592538, -0.1685575640892231, -0.2560308331013781, -0.12656962009769065, -0.21266770972746663, 0.0730392549936948, -0.07026299003040855, -0.2134631489593107, 0.3883472796224585, 0.11697644251398742, 0.16230714071410157, 0.009605458484286756, 0.19927246953809913, 0.11330705793549727, 0.04740811633659564, 0.04905239068614566, 0.22042390459373726, 0.19683319446630776, 0.04391176288584824, -0.32094330352986544, 0.04807068610283653, 0.05174518662579028] |
711.1052 | Optical characterization of platinum-halide ladder compounds | New varieties of quasi-one-dimensional halogen (X)-bridged transition-metal
(M) complexes, (C_8_H_6_N_4_)[Pt(C_2_H_8_N_2_)X]_2_X(ClO_4_)_3_\cdotH_2_O
(X=Br,Cl) and (C_10_H_8_N_2_)[Pt(C_4_H_13_N_3_)Br]_2_Br_4_\cdot2H_2_O,
comprising two-leg ladders of mixed-valent platinum ions, are described in
terms of a multiband extended Peierls-Hubbard Hamiltonian. The polarized
optical conductivity spectra are theoretically reproduced and the ground-state
valence distributions are reasonably determined. The latter variety, whose
interchain valence arrangement is out of phase, is reminiscent of conventional
MX single-chain compounds, while the former variety, whose interchain valence
arrangement is in phase, reveals itself as a novel d-p-\pi-hybridized multiband
ladder material.
| cond-mat.str-el cond-mat.mtrl-sci | new varieties of quasionedimensional halogen xbridged transitionmetal m complexes c_8_h_6_n_4_ptc_2_h_8_n_2_x_2_xclo_4__3_cdoth_2_o xbrcl and c_10_h_8_n_2_ptc_4_h_13_n_3_br_2_br_4_cdot2h_2_o comprising twoleg ladders of mixedvalent platinum ions are described in terms of a multiband extended peierlshubbard hamiltonian the polarized optical conductivity spectra are theoretically reproduced and the groundstate valence distributions are reasonably determined the latter variety whose interchain valence arrangement is out of phase is reminiscent of conventional mx singlechain compounds while the former variety whose interchain valence arrangement is in phase reveals itself as a novel dppihybridized multiband ladder material | [['new', 'varieties', 'of', 'quasionedimensional', 'halogen', 'xbridged', 'transitionmetal', 'm', 'complexes', 'c_8_h_6_n_4_ptc_2_h_8_n_2_x_2_xclo_4__3_cdoth_2_o', 'xbrcl', 'and', 'c_10_h_8_n_2_ptc_4_h_13_n_3_br_2_br_4_cdot2h_2_o', 'comprising', 'twoleg', 'ladders', 'of', 'mixedvalent', 'platinum', 'ions', 'are', 'described', 'in', 'terms', 'of', 'a', 'multiband', 'extended', 'peierlshubbard', 'hamiltonian', 'the', 'polarized', 'optical', 'conductivity', 'spectra', 'are', 'theoretically', 'reproduced', 'and', 'the', 'groundstate', 'valence', 'distributions', 'are', 'reasonably', 'determined', 'the', 'latter', 'variety', 'whose', 'interchain', 'valence', 'arrangement', 'is', 'out', 'of', 'phase', 'is', 'reminiscent', 'of', 'conventional', 'mx', 'singlechain', 'compounds', 'while', 'the', 'former', 'variety', 'whose', 'interchain', 'valence', 'arrangement', 'is', 'in', 'phase', 'reveals', 'itself', 'as', 'a', 'novel', 'dppihybridized', 'multiband', 'ladder', 'material']] | [-0.19420803911229478, 0.2163417556417422, 0.023882911496359526, 0.04756593482445077, -0.007899854308630846, -0.18167391097573918, 0.05688961086311389, 0.45575236415938486, -0.25251301602000675, -0.23982288119607145, -0.05066238322790382, -0.3335239585206101, -0.10790050666354879, 0.13589358083090355, 0.06353256710741634, -0.07296233267016426, -0.007323865448655207, -0.08763606566346333, -0.12117289989609036, -0.20927948931444296, 0.25200709364600954, -0.002547035158812245, 0.28022109019228175, 0.05722816028526124, -0.007018800848458386, 0.0399888599161766, 0.13650409159061935, 0.027723286843186694, -0.10113584299725067, 0.0948291380088069, 0.2963147720180546, -0.1405949478532789, 0.05797836325378924, -0.37205440430795844, -0.2070651222963499, 0.006201218253685327, 0.1696298298708906, 0.09609140062857938, -0.004392781094471111, -0.2895511176578606, -0.03713394233167077, -0.19135086439974322, -0.1674247313485351, -0.14814772897788994, -0.04253193778516371, 0.05680106242947705, -0.20985249122251062, 0.07793082181906587, 0.04364807611402077, 0.1513601872153415, -0.08061474893548631, -0.2238954299754357, -0.14940915037465247, 0.005828077126813086, -0.025076291851015595, 0.051955892539382736, 0.12612488828127896, -0.07262629037722945, -0.08388331809517326, 0.42872552329650787, -0.0358810389261174, -0.06681440249962226, 0.1463982637741756, -0.1677051461684883, -0.08722465046787564, 0.24480708300642953, 0.02765617147088051, 0.1267020900061802, -0.17409165479431424, 0.1348766054284112, -0.10776948164912718, 0.1602411824219589, -0.021526415673190656, 0.11732810565353005, 0.26269213875897135, 0.2058543800553189, -0.024884211724694773, 0.18402113699460332, -0.10510783384353677, -0.12766063551689627, -0.16646814510179095, -0.15711207272885722, -0.27142589496849456, 0.07779827945839166, -0.07787007716362059, -0.23023840384204178, 0.4031530846900578, 0.005142676128263149, 0.16541163985252003, -0.10990339663775661, 0.160088076816188, 0.03443001825922416, 0.03239320762031063, -0.019308942238965274, 0.1987246117330616, 0.2221287168043701, 0.053586030681028116, -0.27242581354737094, 0.07141703244039341, 0.09673751898322112] |
711.1053 | Microscopic modeling of a spin crossover transition | In spin crossover materials, an abrupt phase transition between a low spin
state and a high spin state can be driven by temperature, pressure or by light
irradiation. Of a special relevance are Fe(II) based coordination polymers
where, in contrast to molecular systems, the phase transition between a spin
S=0 and a spin S=2 state shows a pronounced hysteresis which is desirable for
technical applications. A satisfactory microscopic explanation of this large
cooperative phenomenon has been sought for a long time. The lack of X-ray data
has been one of the reasons for the absence of microscopic studies. In this
work, we present an efficient route to prepare reliable model structures and
within an ab initio density functional theory analysis and effective model
considerations we show that in polymeric spin crossover compounds magnetic
exchange between high spin Fe(II) centers is as important as elastic couplings
for understanding the phase transition. We discuss the relevance of these
interactions for the cooperative behavior in these materials.
| cond-mat.mtrl-sci | in spin crossover materials an abrupt phase transition between a low spin state and a high spin state can be driven by temperature pressure or by light irradiation of a special relevance are feii based coordination polymers where in contrast to molecular systems the phase transition between a spin s0 and a spin s2 state shows a pronounced hysteresis which is desirable for technical applications a satisfactory microscopic explanation of this large cooperative phenomenon has been sought for a long time the lack of xray data has been one of the reasons for the absence of microscopic studies in this work we present an efficient route to prepare reliable model structures and within an ab initio density functional theory analysis and effective model considerations we show that in polymeric spin crossover compounds magnetic exchange between high spin feii centers is as important as elastic couplings for understanding the phase transition we discuss the relevance of these interactions for the cooperative behavior in these materials | [['in', 'spin', 'crossover', 'materials', 'an', 'abrupt', 'phase', 'transition', 'between', 'a', 'low', 'spin', 'state', 'and', 'a', 'high', 'spin', 'state', 'can', 'be', 'driven', 'by', 'temperature', 'pressure', 'or', 'by', 'light', 'irradiation', 'of', 'a', 'special', 'relevance', 'are', 'feii', 'based', 'coordination', 'polymers', 'where', 'in', 'contrast', 'to', 'molecular', 'systems', 'the', 'phase', 'transition', 'between', 'a', 'spin', 's0', 'and', 'a', 'spin', 's2', 'state', 'shows', 'a', 'pronounced', 'hysteresis', 'which', 'is', 'desirable', 'for', 'technical', 'applications', 'a', 'satisfactory', 'microscopic', 'explanation', 'of', 'this', 'large', 'cooperative', 'phenomenon', 'has', 'been', 'sought', 'for', 'a', 'long', 'time', 'the', 'lack', 'of', 'xray', 'data', 'has', 'been', 'one', 'of', 'the', 'reasons', 'for', 'the', 'absence', 'of', 'microscopic', 'studies', 'in', 'this', 'work', 'we', 'present', 'an', 'efficient', 'route', 'to', 'prepare', 'reliable', 'model', 'structures', 'and', 'within', 'an', 'ab', 'initio', 'density', 'functional', 'theory', 'analysis', 'and', 'effective', 'model', 'considerations', 'we', 'show', 'that', 'in', 'polymeric', 'spin', 'crossover', 'compounds', 'magnetic', 'exchange', 'between', 'high', 'spin', 'feii', 'centers', 'is', 'as', 'important', 'as', 'elastic', 'couplings', 'for', 'understanding', 'the', 'phase', 'transition', 'we', 'discuss', 'the', 'relevance', 'of', 'these', 'interactions', 'for', 'the', 'cooperative', 'behavior', 'in', 'these', 'materials']] | [-0.15563548243712497, 0.18220118730335721, -0.06555567366225792, 0.05778042977198777, -0.0379122619378017, -0.14300557870485978, 0.06512877815786362, 0.42450713880769, -0.23431115347335524, -0.28891321092207983, 0.056779156631375546, -0.2891094575383382, -0.160909809457513, 0.1460528107428861, 0.03699299963844213, 0.03210966319708926, -0.011921770691803498, -0.015502093751664931, -0.09388674742388879, -0.12504296582447727, 0.2616405632892033, 0.04368107732922753, 0.29698231026939137, 0.11475008571266322, 0.07329068211171344, -0.0001397437860382857, 0.10439516250583593, 0.019538370483532186, -0.12929037709248561, 0.07001000940913289, 0.2931789784215209, -0.0009278227524014144, 0.23682336164524825, -0.4491468615966236, -0.2661298724322966, 0.07294731068839433, 0.1326187172614992, 0.17108802618558247, -0.09810324659338221, -0.2462544218557546, 0.01680075218787462, -0.17854118335242497, -0.13035211183709977, -0.12784908134376677, 0.05532287848579538, 0.0015399317731285785, -0.240124279366261, 0.11344700099786079, 0.051123351277499576, 0.10619827740394124, -0.11109387926280317, -0.09597546543085539, -0.017390485665556496, 0.10095813141130593, 0.04496139110344258, 0.04836799224225304, 0.13952657745202732, -0.1413056930192042, -0.13083041921575986, 0.3860123496411777, -0.0446404327408456, -0.09640390687171731, 0.21666943436494188, -0.12738913677848604, -0.15515597808890316, 0.1647449847596141, 0.1501788643171738, 0.11025032247925992, -0.1563993729934914, 0.036537307800289257, 0.020988891149655256, 0.18943684217917575, -0.018045083939086465, 0.06799797934945673, 0.2737142006119872, 0.23791355265534436, 0.021500858494574657, 0.1318009790123963, -0.0884995094000748, -0.11944208927338988, -0.22514558566461612, -0.17757561510406072, -0.19532154503607804, 0.06951002477350213, -0.06815102551857907, -0.14894149387425676, 0.36077828569871534, 0.15206908301745609, 0.19706146435871744, -0.043385800202064805, 0.27052554172441, 0.09253907142201348, 0.030752175879414853, -0.0020559546764849163, 0.26874599675647914, 0.15374287973419287, 0.10485075776204013, -0.2649843360740328, 0.11420391034902777, -0.008805298739078841] |
711.1054 | Heralded Generation of Ultrafast Single Photons in Pure Quantum States | We present an experimental demonstration of heralded single photons prepared
in pure quantum states from a parametric downconversion source. It is shown
that, through controlling the modal structure of the photon pair emission, one
can generate pairs in factorable states and thence eliminate the need for
spectral filters in multiple-source interference schemes. Indistinguishable
heralded photons were generated in two independent spectrally engineered
sources, and, by performing a Hong-Ou-Mandel interference between them without
spectral filters at a raw visibility of 94.4%, their purity was measured to be
over 95%.
| quant-ph | we present an experimental demonstration of heralded single photons prepared in pure quantum states from a parametric downconversion source it is shown that through controlling the modal structure of the photon pair emission one can generate pairs in factorable states and thence eliminate the need for spectral filters in multiplesource interference schemes indistinguishable heralded photons were generated in two independent spectrally engineered sources and by performing a hongoumandel interference between them without spectral filters at a raw visibility of 944 their purity was measured to be over 95 | [['we', 'present', 'an', 'experimental', 'demonstration', 'of', 'heralded', 'single', 'photons', 'prepared', 'in', 'pure', 'quantum', 'states', 'from', 'a', 'parametric', 'downconversion', 'source', 'it', 'is', 'shown', 'that', 'through', 'controlling', 'the', 'modal', 'structure', 'of', 'the', 'photon', 'pair', 'emission', 'one', 'can', 'generate', 'pairs', 'in', 'factorable', 'states', 'and', 'thence', 'eliminate', 'the', 'need', 'for', 'spectral', 'filters', 'in', 'multiplesource', 'interference', 'schemes', 'indistinguishable', 'heralded', 'photons', 'were', 'generated', 'in', 'two', 'independent', 'spectrally', 'engineered', 'sources', 'and', 'by', 'performing', 'a', 'hongoumandel', 'interference', 'between', 'them', 'without', 'spectral', 'filters', 'at', 'a', 'raw', 'visibility', 'of', '944', 'their', 'purity', 'was', 'measured', 'to', 'be', 'over', '95']] | [-0.08397808835434262, 0.19136648247992774, -0.08641673275798728, 0.024514166683233765, 0.011497443380490453, -0.18815095427932896, 0.07453347067877819, 0.4997577223799784, -0.23450429944998838, -0.3170630216005851, -0.02686763647943735, -0.31728673792994494, -0.014392533829364269, 0.23113681175428527, -0.029084818575277248, 0.0875500840748745, 0.07181660137245093, -0.05423260276967829, 0.003743621481011029, -0.18609824413116174, 0.29250337182417174, 0.02933164049252148, 0.3560857301556759, -0.01939379503759979, 0.13794675798536363, 0.03221204852558334, -0.06227921492906965, -0.07929842853495343, -0.01417222906432223, 0.08497924916843079, 0.2819948356111788, 0.12718925126409886, 0.21410318493938327, -0.36762155002427543, -0.21258365035861393, 0.12209352184171704, 0.13716035172216257, 0.15432996846555563, -0.04600125142976388, -0.3492290307979353, 0.03213830273704265, -0.13969998732897115, -0.03423262755280699, -0.024321559350937605, -0.06879503585845338, -0.03990658188558882, -0.26838163042306074, 0.05278460601799783, 0.035036340238134886, 0.02992778621740978, 0.05784347157036378, -0.013593791044761681, -0.05417140253121033, 0.09563179291911762, -0.14181185030346652, -0.05727680879962546, 0.10527091086524623, -0.13993051996526032, -0.22807240479795093, 0.31736654293953587, -0.10531614484815774, -0.17322226544969122, 0.12604129787756724, -0.1238312714108774, -0.06442286463491408, 0.18956458398183298, 0.13186423704345626, 0.11519719250182706, -0.15405184167122404, -0.03627134170198009, 0.023489187968979506, 0.2515960480536292, 0.19326915020461788, 0.15989580770044334, 0.2306489584351022, 0.07843165529166898, -0.010422455781901424, 0.21654944867689416, -0.12686754904445313, -0.028979840921238065, -0.3053475664081899, -0.13286779945007188, -0.23931231194927188, 0.08326293845840899, -0.03882476383130944, -0.10714460625240463, 0.3946343171939423, 0.09922286524670199, 0.14633139601739292, -0.024313810691554947, 0.3131773869020187, 0.1367309842766686, 0.07183472115535881, 0.016601386773717506, 0.29797034429132263, 0.13040106357022357, 0.03071802532676057, -0.18526664809905924, 0.030552531994709916, -0.062431715947406534] |
711.1055 | Simple Recursive Games | We define the class of "simple recursive games". A simple recursive game is
defined as a simple stochastic game (a notion due to Anne Condon), except that
we allow arbitrary real payoffs but disallow moves of chance. We study the
complexity of solving simple recursive games and obtain an almost-linear time
comparison-based algorithm for computing an equilibrium of such a game. The
existence of a linear time comparison-based algorithm remains an open problem.
| cs.GT cs.DS | we define the class of simple recursive games a simple recursive game is defined as a simple stochastic game a notion due to anne condon except that we allow arbitrary real payoffs but disallow moves of chance we study the complexity of solving simple recursive games and obtain an almostlinear time comparisonbased algorithm for computing an equilibrium of such a game the existence of a linear time comparisonbased algorithm remains an open problem | [['we', 'define', 'the', 'class', 'of', 'simple', 'recursive', 'games', 'a', 'simple', 'recursive', 'game', 'is', 'defined', 'as', 'a', 'simple', 'stochastic', 'game', 'a', 'notion', 'due', 'to', 'anne', 'condon', 'except', 'that', 'we', 'allow', 'arbitrary', 'real', 'payoffs', 'but', 'disallow', 'moves', 'of', 'chance', 'we', 'study', 'the', 'complexity', 'of', 'solving', 'simple', 'recursive', 'games', 'and', 'obtain', 'an', 'almostlinear', 'time', 'comparisonbased', 'algorithm', 'for', 'computing', 'an', 'equilibrium', 'of', 'such', 'a', 'game', 'the', 'existence', 'of', 'a', 'linear', 'time', 'comparisonbased', 'algorithm', 'remains', 'an', 'open', 'problem']] | [-0.15856856978753556, 0.03511461699026643, -0.12957320835645478, 0.12168407619592721, -0.11404122407101605, -0.21615996078447733, 0.11798791298387598, 0.3724568730781544, -0.3176870826274565, -0.281031002201242, 0.08776959486318471, -0.177367226820286, -0.19923025815530795, 0.14065896053734708, -0.13691000870671377, 0.03829849858398307, 0.05727408596709983, 0.03939492066952158, 0.004817332845972213, -0.28856019408454836, 0.2825204551806801, -0.0005672164771654835, 0.15499986824260592, 0.028770246887451983, 0.1810707384210131, 0.03625359264368268, 0.0020844131669871613, 0.10069469604258464, -0.14352756239880873, 0.05857853458601063, 0.26391134390684023, 0.2153230164812444, 0.3955390409515431, -0.39384877572014726, -0.06343661692656882, 0.18514710474657278, 0.11176585685421891, 0.17288523601138428, -0.06525604146188252, -0.23183694964096155, 0.054013711867586085, -0.17656890195730615, -0.13377533542520162, -0.05681458326082115, 0.01650412545271524, -0.013921097983057573, -0.32975143636895776, -0.04212029900861113, 0.07388688955609113, 0.07524239336944198, -0.0439012779452366, -0.09887925115707394, 0.07868786306401128, 0.12233024080322213, -0.06993939494395195, 0.007667821261087713, 0.061538450738848886, -0.11685441834979678, -0.26700671856636055, 0.379583365156328, -0.03969192687638921, -0.17204862506422278, 0.15985767997495115, -0.007875793549704226, -0.16122703170977942, 0.10908697772618026, 0.1669031345885094, 0.21018603007143286, -0.13795084765257493, 0.12227585374565846, -0.16056279899322823, 0.14612148284165777, 0.0792630545616354, -0.0009521972770764404, 0.10099223779182728, 0.1920724242274994, 0.19680184633024547, 0.17118133682987258, 0.04141856226687358, -0.19032602872036092, -0.24715393192249618, -0.17013973319163062, -0.1408981152185022, 0.04339906984736046, -0.12573961576120768, -0.27642324968075305, 0.36860934690865754, 0.08374538890736764, 0.13757785590212435, 0.24055844623187225, 0.29147568893019266, 0.173713251040955, -0.034764076774455095, 0.12604048292548076, 0.09616970083969709, 0.1096301929935915, 0.10447919849714596, -0.20933122460232817, 0.11884911925442619, 0.11253418657316329] |
711.1056 | Bounds on the Number of Iterations for Turbo-Like Ensembles over the
Binary Erasure Channe | This paper provides simple lower bounds on the number of iterations which is
required for successful message-passing decoding of some important families of
graph-based code ensembles (including low-density parity-check codes and
variations of repeat-accumulate codes). The transmission of the code ensembles
is assumed to take place over a binary erasure channel, and the bounds refer to
the asymptotic case where we let the block length tend to infinity. The
simplicity of the bounds derived in this paper stems from the fact that they
are easily evaluated and are expressed in terms of some basic parameters of the
ensemble which include the fraction of degree-2 variable nodes, the target bit
erasure probability and the gap between the channel capacity and the design
rate of the ensemble. This paper demonstrates that the number of iterations
which is required for successful message-passing decoding scales at least like
the inverse of the gap (in rate) to capacity, provided that the fraction of
degree-2 variable nodes of these turbo-like ensembles does not vanish (hence,
the number of iterations becomes unbounded as the gap to capacity vanishes).
| cs.IT math.IT | this paper provides simple lower bounds on the number of iterations which is required for successful messagepassing decoding of some important families of graphbased code ensembles including lowdensity paritycheck codes and variations of repeataccumulate codes the transmission of the code ensembles is assumed to take place over a binary erasure channel and the bounds refer to the asymptotic case where we let the block length tend to infinity the simplicity of the bounds derived in this paper stems from the fact that they are easily evaluated and are expressed in terms of some basic parameters of the ensemble which include the fraction of degree2 variable nodes the target bit erasure probability and the gap between the channel capacity and the design rate of the ensemble this paper demonstrates that the number of iterations which is required for successful messagepassing decoding scales at least like the inverse of the gap in rate to capacity provided that the fraction of degree2 variable nodes of these turbolike ensembles does not vanish hence the number of iterations becomes unbounded as the gap to capacity vanishes | [['this', 'paper', 'provides', 'simple', 'lower', 'bounds', 'on', 'the', 'number', 'of', 'iterations', 'which', 'is', 'required', 'for', 'successful', 'messagepassing', 'decoding', 'of', 'some', 'important', 'families', 'of', 'graphbased', 'code', 'ensembles', 'including', 'lowdensity', 'paritycheck', 'codes', 'and', 'variations', 'of', 'repeataccumulate', 'codes', 'the', 'transmission', 'of', 'the', 'code', 'ensembles', 'is', 'assumed', 'to', 'take', 'place', 'over', 'a', 'binary', 'erasure', 'channel', 'and', 'the', 'bounds', 'refer', 'to', 'the', 'asymptotic', 'case', 'where', 'we', 'let', 'the', 'block', 'length', 'tend', 'to', 'infinity', 'the', 'simplicity', 'of', 'the', 'bounds', 'derived', 'in', 'this', 'paper', 'stems', 'from', 'the', 'fact', 'that', 'they', 'are', 'easily', 'evaluated', 'and', 'are', 'expressed', 'in', 'terms', 'of', 'some', 'basic', 'parameters', 'of', 'the', 'ensemble', 'which', 'include', 'the', 'fraction', 'of', 'degree2', 'variable', 'nodes', 'the', 'target', 'bit', 'erasure', 'probability', 'and', 'the', 'gap', 'between', 'the', 'channel', 'capacity', 'and', 'the', 'design', 'rate', 'of', 'the', 'ensemble', 'this', 'paper', 'demonstrates', 'that', 'the', 'number', 'of', 'iterations', 'which', 'is', 'required', 'for', 'successful', 'messagepassing', 'decoding', 'scales', 'at', 'least', 'like', 'the', 'inverse', 'of', 'the', 'gap', 'in', 'rate', 'to', 'capacity', 'provided', 'that', 'the', 'fraction', 'of', 'degree2', 'variable', 'nodes', 'of', 'these', 'turbolike', 'ensembles', 'does', 'not', 'vanish', 'hence', 'the', 'number', 'of', 'iterations', 'becomes', 'unbounded', 'as', 'the', 'gap', 'to', 'capacity', 'vanishes']] | [-0.1990395087172478, 0.11279462988537257, -0.04070635105210526, 0.037995268850592456, -0.021773152540885528, -0.17514289930997962, 0.10968290726996402, 0.31512568553508313, -0.2858823180373614, -0.3001018725695778, 0.11547589649829643, -0.2395927539514635, -0.1239204929783961, 0.17787090310626225, -0.08603429245294293, 0.090958622649559, 0.06318586229768618, 0.10485731580330687, -0.09735426054148323, -0.314602075953124, 0.299718138684637, 0.15209240618660963, 0.2559098657940962, 0.029393350648904703, 0.07568043724084479, 0.0011070979133927525, -0.004828076215990876, -0.028925971825895264, -0.12267805502336898, 0.10430604004615002, 0.28142492033191313, 0.17127222521230578, 0.2448908396101253, -0.3948227143177547, -0.22431519133609962, 0.12399978891853758, 0.1930492227454541, 0.12121851843230565, -0.004101707901707876, -0.19055135299268985, 0.12770857562141194, -0.1718015033798035, -0.04480240864740963, -0.00037643984789852034, -0.020539956115885993, 0.05800184005233382, -0.29940922603587417, 0.03349718348977274, 0.08957730097572694, 0.016218228816203977, 0.017727796010189374, -0.1730779818984685, 0.03864190354171461, 0.1443572310082491, 0.03998576552164612, 0.0008935119663442367, 0.09142062463926265, -0.0981412943907967, -0.051160421137548776, 0.34618001185532515, -0.01954132064569803, -0.18152053139136476, 0.16953270527011927, -0.10818828171818873, -0.10796985837106093, 0.1546742044703119, 0.22765806319387577, 0.11569089580260382, -0.10736586972659463, 0.07616180813715674, -0.040539326753405575, 0.18249824531993813, 0.07557589956430605, 0.11335031194766747, 0.15107923763603465, 0.09863457544463158, 0.06705383557404355, 0.17473971434014732, -0.10680758295958934, -0.12782660695513226, -0.31239157861088357, -0.1408275426185345, -0.21062385650526588, 0.014922777197316665, -0.12752202159082915, -0.18191487032686005, 0.36924892494671085, 0.15253498066263016, 0.2007578531413941, 0.1600794699628328, 0.27290021175343687, 0.0995109334635646, 0.09060259344498756, 0.1634290646787383, 0.1807455540141374, 0.1613663245559778, 0.03515445569193104, -0.21375577624768882, 0.10922387511776863, 0.06544935736722873] |
711.1057 | Junction Conditions and Consequences of Quasi-Spherical Space-Time with
Electro-Magnetic Field and Vaidya Matric | In this work the junction conditions between the exterior
Reissner-Nordstrom-Vaidya space-time with the interior quasi-spherical Szekeres
space-time have been studied for analyzing gravitational collapse in the
presence of a magneto-hydrodynamic fluid undergoing dissipation in the form of
heat flow. We have discussed about the apparent horizon and have evaluated the
time difference between the formation of apparent horizon and central
singularity.
| gr-qc | in this work the junction conditions between the exterior reissnernordstromvaidya spacetime with the interior quasispherical szekeres spacetime have been studied for analyzing gravitational collapse in the presence of a magnetohydrodynamic fluid undergoing dissipation in the form of heat flow we have discussed about the apparent horizon and have evaluated the time difference between the formation of apparent horizon and central singularity | [['in', 'this', 'work', 'the', 'junction', 'conditions', 'between', 'the', 'exterior', 'reissnernordstromvaidya', 'spacetime', 'with', 'the', 'interior', 'quasispherical', 'szekeres', 'spacetime', 'have', 'been', 'studied', 'for', 'analyzing', 'gravitational', 'collapse', 'in', 'the', 'presence', 'of', 'a', 'magnetohydrodynamic', 'fluid', 'undergoing', 'dissipation', 'in', 'the', 'form', 'of', 'heat', 'flow', 'we', 'have', 'discussed', 'about', 'the', 'apparent', 'horizon', 'and', 'have', 'evaluated', 'the', 'time', 'difference', 'between', 'the', 'formation', 'of', 'apparent', 'horizon', 'and', 'central', 'singularity']] | [-0.1853018832377723, 0.05770235391119953, -0.11342415605961788, 0.06895252765102892, -0.03943023640952516, -0.06939597911827389, -0.07823389839594726, 0.3154691396067377, -0.19010482752146046, -0.29671993979909383, 0.1376275494026753, -0.23854615000366677, -0.06219999528810626, 0.13888677539395505, -0.015685710185741792, 0.03201735515880291, 0.012692733633438827, 0.01979049186787156, -0.09794559788539028, -0.1689750893942279, 0.3994514616358964, 0.08582972469510602, 0.2283379050185446, 0.05109215697243077, 0.09977501951402327, -0.06521836228546549, -0.02544004008265548, 0.09676140835356029, -0.21258240374812826, 0.013490521761237597, 0.20651031623701335, 0.07154296093895177, 0.2309595674169479, -0.5039384620661129, -0.28862926353734814, 0.09315036815594974, 0.1588103576700707, 0.11036199835877193, -0.09725857923021082, -0.28105148824206627, 0.05500447757725344, -0.18407761427711267, -0.14746152416451788, 0.04443563720913696, 0.1066907999090484, -0.01962352313528784, -0.13133616580582055, 0.18216688795106822, 0.09262516606049459, 0.032325309762334234, -0.11325111218773928, 0.0005531052411839244, -0.04444959645205345, 0.10495319941890288, 0.13705735500199628, -0.009132036580475138, 0.12546495718453995, -0.09931644189293634, -0.06663099233610709, 0.34340296994864206, -0.040607635099746166, -0.19168240289951935, 0.16584049188150246, -0.25266214860145186, -0.04897773753637906, 0.1300310448850276, 0.1503404942188473, 0.12208271102949245, -0.17506661305784202, 0.10662434721693824, 0.00040031462663509806, 0.05804121157643004, 0.2160451711598234, 0.0016086092218756676, 0.3253943165000833, 0.18127804298381336, -0.020647683337361354, 0.16088533949595493, -0.11389668081261095, -0.1790554634616023, -0.3410359330658541, -0.16259361377566076, -0.15149091191963887, 0.07223597255947649, -0.1672923937053458, -0.17605774069479743, 0.2953434414554723, 0.1163308510373606, 0.14121403888661843, -0.033065687758145765, 0.23441471855659954, 0.10930854673153859, 0.03196292869044376, 0.18552124883490997, 0.32335885311858575, 0.16141999528178427, 0.18805510882043935, -0.3161571329673294, 0.03595388540998101, 0.05664622035167623] |
711.1058 | Equivalent hyperon-nucleon interactions in low-momentum space | Equivalent interactions in a low-momentum space for the $\Lambda N$, $\Sigma
N$ and $\Xi N$ interactions are calculated, using the SU$_6$ quark model
potential as well as the Nijmegen OBEP model as the input bare interaction.
Because the two-body scattering data has not been accumulated sufficiently to
determine the hyperon-nucleon interactions unambiguously, the construction of
the potential even in low-energy regions has to rely on a theoretical model.
The equivalent interaction after removing high-momentum components is still
model dependent. Because this model dependence reflects the character of the
underlying potential model, it is instructive for better understanding of
baryon-baryon interactions in the strangeness sector to study the low-momentum
space $YN$ interactions.
| nucl-th | equivalent interactions in a lowmomentum space for the lambda n sigma n and xi n interactions are calculated using the su_6 quark model potential as well as the nijmegen obep model as the input bare interaction because the twobody scattering data has not been accumulated sufficiently to determine the hyperonnucleon interactions unambiguously the construction of the potential even in lowenergy regions has to rely on a theoretical model the equivalent interaction after removing highmomentum components is still model dependent because this model dependence reflects the character of the underlying potential model it is instructive for better understanding of baryonbaryon interactions in the strangeness sector to study the lowmomentum space yn interactions | [['equivalent', 'interactions', 'in', 'a', 'lowmomentum', 'space', 'for', 'the', 'lambda', 'n', 'sigma', 'n', 'and', 'xi', 'n', 'interactions', 'are', 'calculated', 'using', 'the', 'su_6', 'quark', 'model', 'potential', 'as', 'well', 'as', 'the', 'nijmegen', 'obep', 'model', 'as', 'the', 'input', 'bare', 'interaction', 'because', 'the', 'twobody', 'scattering', 'data', 'has', 'not', 'been', 'accumulated', 'sufficiently', 'to', 'determine', 'the', 'hyperonnucleon', 'interactions', 'unambiguously', 'the', 'construction', 'of', 'the', 'potential', 'even', 'in', 'lowenergy', 'regions', 'has', 'to', 'rely', 'on', 'a', 'theoretical', 'model', 'the', 'equivalent', 'interaction', 'after', 'removing', 'highmomentum', 'components', 'is', 'still', 'model', 'dependent', 'because', 'this', 'model', 'dependence', 'reflects', 'the', 'character', 'of', 'the', 'underlying', 'potential', 'model', 'it', 'is', 'instructive', 'for', 'better', 'understanding', 'of', 'baryonbaryon', 'interactions', 'in', 'the', 'strangeness', 'sector', 'to', 'study', 'the', 'lowmomentum', 'space', 'yn', 'interactions']] | [-0.09979337706389996, 0.15885585962756965, -0.10335477588431877, 0.145067794006192, -0.03794008553833575, -0.15701465298597878, 0.001717674294234933, 0.33609617761596366, -0.22077066033474496, -0.29961436632013805, -0.03505961064496791, -0.34245115200577825, -0.10559606310693329, 0.07995622584948668, 0.1084990939880545, 0.011447329531415357, 0.037814054931807624, 0.08410457027383854, -0.02450117152100345, -0.19072534679225436, 0.31976592958997097, 0.055685428092843506, 0.21555485222320836, 0.1566190979661638, 0.0410993633768731, 0.08314915217022907, -0.0007061781697310843, -0.05457298280036723, -0.08111687398070956, 0.06180112407781888, 0.2032749586374717, 0.03667551517562085, 0.17827451362501126, -0.4091787140581522, -0.2238902634459124, 0.1238577762820028, 0.18331348785274737, 0.11804639017167459, -0.0028807101236354255, -0.3097277103948432, 0.00038938558668837894, -0.2040321790520941, -0.16191996435890696, -0.12051593456501225, 0.08395178065643655, 0.00611046774321113, -0.30006731408836973, 0.05304466890850784, 0.025496586965321488, 0.02065073364825399, -0.07644081282794375, -0.16429898599666115, -0.03460695938760969, 0.12331147427274217, 0.073070075612532, 0.09477537774128487, 0.11556297792268598, -0.19071075852817712, -0.028207733027368516, 0.4286128223395428, -0.06828922806894994, -0.2107613613443063, 0.16638788134530857, -0.11350044466739705, -0.10248912932133084, 0.13716597437673994, 0.15647751479808175, 0.04507891426433448, -0.19661464018596186, 0.20142185319632477, -0.01950501203893575, 0.19428679322496661, 0.0067071438146134215, 0.051670681580330606, 0.17165174885644569, 0.22127460028036489, -0.03859282809637145, 0.05188352417783929, -0.046249692133199925, -0.12043456989550241, -0.32848964625684257, -0.029141665086294902, -0.18188202374841314, 0.022695921745433403, -0.09143230164209108, -0.128035909445906, 0.3532441770490091, 0.12971032799330648, 0.22627592971128924, -0.003750739971528182, 0.28037338005798357, 0.06596864420639535, 0.09769338283788513, -0.002103067957586399, 0.27355470603986365, 0.1625009112831977, 0.053504246853785964, -0.2532636623091257, 0.08745148577853232, 0.06473135808063252] |
711.1059 | Photometric Redshifts for the Dark Energy Survey and VISTA and
Implications for Large Scale Structure | We conduct a detailed analysis of the photometric redshift requirements for
the proposed Dark Energy Survey (DES) using two sets of mock galaxy simulations
and an artificial neural network code - ANNz. In particular, we examine how
optical photometry in the DES grizY bands can be complemented with near
infra-red photometry from the planned VISTA Hemisphere Survey (VHS) in the
JHK_s bands. We find that the rms scatter on the photometric redshift estimate
over 1<z<2 is sigma_z=0.2 from DES alone and sigma_z=0.15 from DES+VISTA, i.e.
an improvement of more than 30%. We draw attention to the effects of galaxy
formation scenarios such as reddening on the photo-z estimate and using our
neural network code, calculate the extinction, A_v for these reddened galaxies.
We also look at the impact of using different training sets when calculating
photometric redshifts. In particular, we find that using the ongoing DEEP2 and
VVDS-Deep spectroscopic surveys to calibrate photometric redshifts for DES,
will prove effective. However we need to be aware of uncertainties in the
photometric redshift bias that arise when using different training sets as
these will translate into errors in the dark energy equation of state
parameter, w. Furthermore, we show that the neural network error estimate on
the photometric redshift may be used to remove outliers from our samples before
any kind of cosmological analysis, in particular for large-scale structure
experiments. By removing all galaxies with a neural network photo-z error
estimate of greater than 0.1 from our DES+VHS sample, we can constrain the
galaxy power spectrum out to a redshift of 2 and reduce the fractional error on
this power spectrum by ~15-20% compared to using the entire catalogue.
| astro-ph | we conduct a detailed analysis of the photometric redshift requirements for the proposed dark energy survey des using two sets of mock galaxy simulations and an artificial neural network code annz in particular we examine how optical photometry in the des grizy bands can be complemented with near infrared photometry from the planned vista hemisphere survey vhs in the jhk_s bands we find that the rms scatter on the photometric redshift estimate over 1z2 is sigma_z02 from des alone and sigma_z015 from desvista ie an improvement of more than 30 we draw attention to the effects of galaxy formation scenarios such as reddening on the photoz estimate and using our neural network code calculate the extinction a_v for these reddened galaxies we also look at the impact of using different training sets when calculating photometric redshifts in particular we find that using the ongoing deep2 and vvdsdeep spectroscopic surveys to calibrate photometric redshifts for des will prove effective however we need to be aware of uncertainties in the photometric redshift bias that arise when using different training sets as these will translate into errors in the dark energy equation of state parameter w furthermore we show that the neural network error estimate on the photometric redshift may be used to remove outliers from our samples before any kind of cosmological analysis in particular for largescale structure experiments by removing all galaxies with a neural network photoz error estimate of greater than 01 from our desvhs sample we can constrain the galaxy power spectrum out to a redshift of 2 and reduce the fractional error on this power spectrum by 1520 compared to using the entire catalogue | [['we', 'conduct', 'a', 'detailed', 'analysis', 'of', 'the', 'photometric', 'redshift', 'requirements', 'for', 'the', 'proposed', 'dark', 'energy', 'survey', 'des', 'using', 'two', 'sets', 'of', 'mock', 'galaxy', 'simulations', 'and', 'an', 'artificial', 'neural', 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711.106 | Well-posedness and ill-posedness of the fifth order modifed KdV equation | We consider the initial value problem of the fifth order modified KdV
equation on the Sobolev spaces. \partial_t u - \partial_x^5u +
c_1\partial_x^3(u^3) + c_2u\partial_x u\partial_x^2 u + c_3uu\partial_x^3 u =0,
u(x,0)= u_0(x) where $ u:R\timesR \to R $ and $c_j$'s are real. We show the
local well-posedness in H^s(R) for s \geq 3/4 via the contraction principle on
$X^{s,b}$ space. Also, we show that the solution map from data to the solutions
fails to be uniformly continuous below $H^{3/4}(R)$. The counter example is
obtained by approximating the fifth order mKdV equation by the cubic NLS
equation.
| math.AP | we consider the initial value problem of the fifth order modified kdv equation on the sobolev spaces partial_t u partial_x5u c_1partial_x3u3 c_2upartial_x upartial_x2 u c_3uupartial_x3 u 0 ux0 u_0x where urtimesr to r and c_js are real we show the local wellposedness in hsr for s geq 34 via the contraction principle on xsb space also we show that the solution map from data to the solutions fails to be uniformly continuous below h34r the counter example is obtained by approximating the fifth order mkdv equation by the cubic nls equation | [['we', 'consider', 'the', 'initial', 'value', 'problem', 'of', 'the', 'fifth', 'order', 'modified', 'kdv', 'equation', 'on', 'the', 'sobolev', 'spaces', 'partial_t', 'u', 'partial_x5u', 'c_1partial_x3u3', 'c_2upartial_x', 'upartial_x2', 'u', 'c_3uupartial_x3', 'u', '0', 'ux0', 'u_0x', 'where', 'urtimesr', 'to', 'r', 'and', 'c_js', 'are', 'real', 'we', 'show', 'the', 'local', 'wellposedness', 'in', 'hsr', 'for', 's', 'geq', '34', 'via', 'the', 'contraction', 'principle', 'on', 'xsb', 'space', 'also', 'we', 'show', 'that', 'the', 'solution', 'map', 'from', 'data', 'to', 'the', 'solutions', 'fails', 'to', 'be', 'uniformly', 'continuous', 'below', 'h34r', 'the', 'counter', 'example', 'is', 'obtained', 'by', 'approximating', 'the', 'fifth', 'order', 'mkdv', 'equation', 'by', 'the', 'cubic', 'nls', 'equation']] | [-0.16056490515163818, 0.04458981674424438, 0.003725812949110256, 0.060529214661665866, -0.09283412482351237, -0.15034495478192733, -0.02854758081957698, 0.2791656858266093, -0.3558088969439268, -0.17400987537274526, 0.17655624707938758, -0.3664995585784836, -0.10579308080162074, 0.1653331214193861, -0.008656333373902841, 0.07522721908076904, 0.03338252632813745, 0.040989065624037105, -0.06574443823029828, -0.2743013523069622, 0.38531129205664405, -0.1284950507566506, 0.1784255948773217, 0.0074902603857565754, 0.12387244347185113, -0.021754884721473033, 0.06839640536020662, -0.05640477119155802, -0.2308818077087994, 0.02945576429361651, 0.18593923758368852, 0.06385282860787282, 0.2884292401167629, -0.39240046788743416, -0.1985520097686974, 0.1612088566126172, 0.11631811605658122, 0.05187269406349853, 0.008567204337491285, -0.35430357672360746, 0.10512180040796222, -0.08916461565477643, -0.21238460539038792, -0.07191643942970523, 0.07551756565632342, 0.10406719321428343, -0.35245796936282586, 0.14953612036655148, 0.058598694032827005, -0.05926485482852386, -0.18338190423606268, -0.09219977774706041, -0.0879897175919871, -0.014689735678392787, 0.006653846329522081, 0.13203771510919513, -0.024666287032020992, -0.0932079891262706, 0.0015215749938993952, 0.39736361727984837, -0.15663102903500806, -0.25041321314448967, 0.08381373250889483, -0.17398479119549656, -0.10771707843902499, 0.07990455019915867, 0.1329226434111682, 0.13744813376945594, -0.10155136106795697, 0.23040355180950597, -0.042685041263656215, 0.19013481713874741, 0.10805048817920304, -0.06516078993851362, 0.0033573488350199577, 0.10646382993260442, 0.15749089881712788, 0.08352784245399499, -0.029422728388115417, -0.08310384272129362, -0.36205477995234864, -0.12175393156534017, -0.1888140738551873, 0.12222623483949276, -0.14933175538368063, -0.0953583923320091, 0.2957783129748477, 0.12891686775418387, 0.16409806642941263, 0.06424709316343069, 0.18830185162639895, 0.1908451768753747, -0.014906730697771837, 0.10431668632880373, 0.17551689151522898, 0.0959424149856881, 0.2024286857502925, -0.21859764734683776, -0.02855246224397317, 0.22379145373828535] |
711.1061 | Evidence for compact cooperatively rearranging regions in a supercooled
liquid | We examine structural relaxation in a supercooled glass-forming liquid
simulated by NVE molecular dynamics. Time correlations of the total kinetic
energy fluctuations are used as a comprehensive measure of the system's
approach to the ergodic equilibrium. We find that, under cooling, the total
structural relaxation becomes delayed as compared with the decay of the
component of the intermediate scattering function corresponding to the main
peak of the structure factor. This observation can be explained by collective
movements of particles preserving many-body structural correlations within
compact 3D cooperatively rearranging regions.
| cond-mat.soft cond-mat.stat-mech | we examine structural relaxation in a supercooled glassforming liquid simulated by nve molecular dynamics time correlations of the total kinetic energy fluctuations are used as a comprehensive measure of the systems approach to the ergodic equilibrium we find that under cooling the total structural relaxation becomes delayed as compared with the decay of the component of the intermediate scattering function corresponding to the main peak of the structure factor this observation can be explained by collective movements of particles preserving manybody structural correlations within compact 3d cooperatively rearranging regions | [['we', 'examine', 'structural', 'relaxation', 'in', 'a', 'supercooled', 'glassforming', 'liquid', 'simulated', 'by', 'nve', 'molecular', 'dynamics', 'time', 'correlations', 'of', 'the', 'total', 'kinetic', 'energy', 'fluctuations', 'are', 'used', 'as', 'a', 'comprehensive', 'measure', 'of', 'the', 'systems', 'approach', 'to', 'the', 'ergodic', 'equilibrium', 'we', 'find', 'that', 'under', 'cooling', 'the', 'total', 'structural', 'relaxation', 'becomes', 'delayed', 'as', 'compared', 'with', 'the', 'decay', 'of', 'the', 'component', 'of', 'the', 'intermediate', 'scattering', 'function', 'corresponding', 'to', 'the', 'main', 'peak', 'of', 'the', 'structure', 'factor', 'this', 'observation', 'can', 'be', 'explained', 'by', 'collective', 'movements', 'of', 'particles', 'preserving', 'manybody', 'structural', 'correlations', 'within', 'compact', '3d', 'cooperatively', 'rearranging', 'regions']] | [-0.13798163664328417, 0.192807600708558, -0.13328990810341462, 0.08646822398334868, 0.02546447649430693, -0.06193997211272964, 0.03397539717909158, 0.3541536175834245, -0.3193459127286679, -0.29189476119668295, 0.03959014614798087, -0.28196865943877886, -0.11781397564441301, 0.08983343815577499, 0.05843068505218776, 0.055133773369735545, 0.009574639804535703, 0.008270719496721632, -0.09106346911075787, -0.16653575109098148, 0.2776801961126183, 0.09068432308503249, 0.26779226628079844, 0.031661340482192886, 0.08338063795726454, 0.013187497856848862, 0.022525620722640933, 0.041816306425215354, -0.14603664859381485, 0.06343650988962375, 0.2347094164114822, 0.05615574119251556, 0.23004952384148505, -0.45274611838747947, -0.2550863310958918, 0.07482736615275734, 0.1523674855981901, 0.09665726591948043, -0.004783489113527067, -0.2782333078846503, 0.019640985960036182, -0.13662035295509556, -0.12308798986748698, -0.10339224784572222, 0.00796320852352662, 0.06932869595390473, -0.21551825320465867, 0.17118857717246153, 0.052134217194731484, 0.04971676254958919, -0.098377709585671, -0.07055594622460978, -0.020366799372301982, 0.12313548191921429, 0.055422355494137564, 0.004193526863387336, 0.25391939604717695, -0.11437877812527456, -0.09212160701183288, 0.40713273644907755, -0.08153052956357681, -0.13683453976605717, 0.22381512056826874, -0.16499398237491927, -0.10522734657128792, 0.22764253052307315, 0.1683675693766622, 0.09268731408323465, -0.17709864650949772, 0.0028359294670184006, -0.009119942219237263, 0.2117971332607728, 0.0042033822280930335, 0.06212610594164371, 0.20152882006793713, 0.22958308330663804, 0.05391902709903007, 0.200945785788432, -0.09358564772109469, -0.15805892343894484, -0.2641108309159453, -0.1362889843470982, -0.19174829360851076, 0.07670043632806686, -0.07833809635256615, -0.10686623475650388, 0.3813682071069318, 0.0837639968350446, 0.2012630050604263, 0.05598674258583466, 0.2593837070417475, 0.11391806574747636, 0.052871940936108405, 0.0575902901820085, 0.24693774952804357, 0.14500016230158508, 0.07663194892739647, -0.3600766694361574, 0.09431320117012168, 0.01379701675679744] |
711.1062 | Spin-flip scattering and non-ideal interfaces in dirty
ferromagnet/superconductor junctions | We study the proximity-induced superconducting correlations as well as the
local density of states of a ferromagnet, in a ferromagnet/s-wave
superconductor heterostructure. We include the effects of spin-flip scattering,
non-ideal interfaces, and the presence of impurities in the sample. We employ
the quasiclassical theory of superconductivity, solving the Usadel equation
with emphasis on obtaining transparent analytical results. As our main result,
we report that in a certain parameter regime the spatial oscillations of the
anomalous (superconducting) part of the Green's function induced in the
ferromagnet by the proximity effect from the s-wave superconductor, are damped
out due to the presence of spin-flip processes. As a consequence, spin-flip
scattering may under certain conditions actually enhance the local density of
states due to the oscillatory behaviour of the latter in
ferromagnet/superconductor structures. We also conjecture that the damping
could be manifested in the behaviour of the critical temperature ($T_c$) of the
s-wave superconductor in contact with the ferromagnet. More specifically, we
argue that the non-monotonic decrease of $T_c$ in ferromagnet/s-wave
superconductor junctions without magnetic impurities is altered to a monotonic,
non-oscillatory decrease when the condition $1>16\tau_\text{sf}^2h^2$ is
fulfilled, where $\tau_\text{sf}$ is the spin-flip relaxation time and $h$ is
the exchange field.
| cond-mat.supr-con | we study the proximityinduced superconducting correlations as well as the local density of states of a ferromagnet in a ferromagnetswave superconductor heterostructure we include the effects of spinflip scattering nonideal interfaces and the presence of impurities in the sample we employ the quasiclassical theory of superconductivity solving the usadel equation with emphasis on obtaining transparent analytical results as our main result we report that in a certain parameter regime the spatial oscillations of the anomalous superconducting part of the greens function induced in the ferromagnet by the proximity effect from the swave superconductor are damped out due to the presence of spinflip processes as a consequence spinflip scattering may under certain conditions actually enhance the local density of states due to the oscillatory behaviour of the latter in ferromagnetsuperconductor structures we also conjecture that the damping could be manifested in the behaviour of the critical temperature t_c of the swave superconductor in contact with the ferromagnet more specifically we argue that the nonmonotonic decrease of t_c in ferromagnetswave superconductor junctions without magnetic impurities is altered to a monotonic nonoscillatory decrease when the condition 116tau_textsf2h2 is fulfilled where tau_textsf is the spinflip relaxation time and h is the exchange field | [['we', 'study', 'the', 'proximityinduced', 'superconducting', 'correlations', 'as', 'well', 'as', 'the', 'local', 'density', 'of', 'states', 'of', 'a', 'ferromagnet', 'in', 'a', 'ferromagnetswave', 'superconductor', 'heterostructure', 'we', 'include', 'the', 'effects', 'of', 'spinflip', 'scattering', 'nonideal', 'interfaces', 'and', 'the', 'presence', 'of', 'impurities', 'in', 'the', 'sample', 'we', 'employ', 'the', 'quasiclassical', 'theory', 'of', 'superconductivity', 'solving', 'the', 'usadel', 'equation', 'with', 'emphasis', 'on', 'obtaining', 'transparent', 'analytical', 'results', 'as', 'our', 'main', 'result', 'we', 'report', 'that', 'in', 'a', 'certain', 'parameter', 'regime', 'the', 'spatial', 'oscillations', 'of', 'the', 'anomalous', 'superconducting', 'part', 'of', 'the', 'greens', 'function', 'induced', 'in', 'the', 'ferromagnet', 'by', 'the', 'proximity', 'effect', 'from', 'the', 'swave', 'superconductor', 'are', 'damped', 'out', 'due', 'to', 'the', 'presence', 'of', 'spinflip', 'processes', 'as', 'a', 'consequence', 'spinflip', 'scattering', 'may', 'under', 'certain', 'conditions', 'actually', 'enhance', 'the', 'local', 'density', 'of', 'states', 'due', 'to', 'the', 'oscillatory', 'behaviour', 'of', 'the', 'latter', 'in', 'ferromagnetsuperconductor', 'structures', 'we', 'also', 'conjecture', 'that', 'the', 'damping', 'could', 'be', 'manifested', 'in', 'the', 'behaviour', 'of', 'the', 'critical', 'temperature', 't_c', 'of', 'the', 'swave', 'superconductor', 'in', 'contact', 'with', 'the', 'ferromagnet', 'more', 'specifically', 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711.1063 | On the Quantum Reconstruction of the Riemann zeros | We discuss a possible spectral realization of the Riemann zeros based on the
Hamiltonian $H = xp$ perturbed by a term that depends on two potentials, which
are related to the Berry-Keating semiclassical constraints. We find
perturbatively the potentials whose Jost function is given by the zeta function
$\zeta(\sigma - i t)$ for $\sigma > 1$. For $\sigma = 1/2$ we find the
potentials that yield the smooth approximation to the zeros. We show that the
existence of potentials realizing the zeta function at $\sigma = 1/2$, as a
Jost function, would imply that the Riemann zeros are point like spectrum
embedded in the continuum, resolving in that way the emission/spectral
interpretation.
| math-ph math.MP | we discuss a possible spectral realization of the riemann zeros based on the hamiltonian h xp perturbed by a term that depends on two potentials which are related to the berrykeating semiclassical constraints we find perturbatively the potentials whose jost function is given by the zeta function zetasigma i t for sigma 1 for sigma 12 we find the potentials that yield the smooth approximation to the zeros we show that the existence of potentials realizing the zeta function at sigma 12 as a jost function would imply that the riemann zeros are point like spectrum embedded in the continuum resolving in that way the emissionspectral interpretation | [['we', 'discuss', 'a', 'possible', 'spectral', 'realization', 'of', 'the', 'riemann', 'zeros', 'based', 'on', 'the', 'hamiltonian', 'h', 'xp', 'perturbed', 'by', 'a', 'term', 'that', 'depends', 'on', 'two', 'potentials', 'which', 'are', 'related', 'to', 'the', 'berrykeating', 'semiclassical', 'constraints', 'we', 'find', 'perturbatively', 'the', 'potentials', 'whose', 'jost', 'function', 'is', 'given', 'by', 'the', 'zeta', 'function', 'zetasigma', 'i', 't', 'for', 'sigma', '1', 'for', 'sigma', '12', 'we', 'find', 'the', 'potentials', 'that', 'yield', 'the', 'smooth', 'approximation', 'to', 'the', 'zeros', 'we', 'show', 'that', 'the', 'existence', 'of', 'potentials', 'realizing', 'the', 'zeta', 'function', 'at', 'sigma', '12', 'as', 'a', 'jost', 'function', 'would', 'imply', 'that', 'the', 'riemann', 'zeros', 'are', 'point', 'like', 'spectrum', 'embedded', 'in', 'the', 'continuum', 'resolving', 'in', 'that', 'way', 'the', 'emissionspectral', 'interpretation']] | [-0.17435950260786784, 0.06770575982740237, -0.10963828184508852, 0.10320022255736624, -0.042036042149577825, -0.12266304259232821, 0.017042053188197313, 0.3357601225642221, -0.226503635295445, -0.24382180119199412, 0.07360667250828729, -0.2866411347030884, -0.19064431971027737, 0.16414013183453963, 0.02495467530652171, 0.05932474253876578, 0.020436967279584634, 0.05202708553877615, -0.11669664353941611, -0.21775224334782078, 0.3906389206470478, -0.012490824459209328, 0.14199858260828824, 0.11207592579580489, 0.05729646633955694, 0.013547562446356529, 0.01992368898576214, -0.04625330715484562, -0.144524360718164, 0.07940807659178972, 0.18332216630556752, 0.0820912261803945, 0.2047837272663379, -0.37400036636917366, -0.2168654288919199, 0.12897898217751866, 0.12951133986491534, 0.0043892206746109184, -0.014670505323669031, -0.23280009768814558, 0.09825473626454671, -0.08173536067562444, -0.2077595083220374, -0.05430550465604202, 0.07527178316598847, 0.06881907211527938, -0.2755770035354154, 0.08169134068746298, 0.049341797389622244, -0.007388219929167203, -0.07740428387852652, -0.1817597523642083, -0.03487417175035391, 0.060868802081261365, 0.03403013240978388, 0.08779110361578031, 0.09376848809687155, -0.14620292778126895, -0.06154137765545221, 0.3398255157328787, -0.12647814553763184, -0.24753748594472805, 0.13665979974016193, -0.1691365029130663, -0.1469818331212515, 0.10069569300505377, 0.07432192592837271, 0.12022909815866678, -0.10645424618075292, 0.17399949794635178, -0.050488861029346785, 0.14633099798783883, 0.10394478928120364, -0.0017224860466307117, 0.22551612705879268, 0.06537092290818691, 0.06351033466468964, 0.11339801411543574, -0.0778896403587645, -0.08702265058832598, -0.3900455894126069, -0.13557178371896347, -0.22244576881861403, 0.11210031742673544, -0.08625277745581808, -0.21238003539010172, 0.42271694313912167, 0.12364824025758675, 0.24675201757677964, 0.1083651504179995, 0.18931955392694189, 0.21818970754809144, 0.06054914629619036, 0.05636262596983995, 0.20629894240271476, 0.11776538666426425, 0.020598968752615507, -0.21845569723019642, -0.025017283401185912, 0.11583766854102058] |
711.1064 | Fluctuation-Response Relation and modeling in systems with fast and slow
dynamics | We show how a general formulation of the Fluctuation-Response Relation is
able to describe in detail the connection between response properties to
external perturbations and spontaneous fluctuations in systems with fast and
slow variables. The method is tested by using the 360-variable Lorenz-96 model,
where slow and fast variables are coupled to one another with reciprocal
feedback, and a simplified low dimensional system. In the Fluctuation-Response
context, the influence of the fast dynamics on the slow dynamics relies in a
non trivial behavior of a suitable quadratic response function. This has
important consequences for the modeling of the slow dynamics in terms of a
Langevin equation: beyond a certain intrinsic time interval even the optimal
model can give just statistical prediction.
| nlin.CD | we show how a general formulation of the fluctuationresponse relation is able to describe in detail the connection between response properties to external perturbations and spontaneous fluctuations in systems with fast and slow variables the method is tested by using the 360variable lorenz96 model where slow and fast variables are coupled to one another with reciprocal feedback and a simplified low dimensional system in the fluctuationresponse context the influence of the fast dynamics on the slow dynamics relies in a non trivial behavior of a suitable quadratic response function this has important consequences for the modeling of the slow dynamics in terms of a langevin equation beyond a certain intrinsic time interval even the optimal model can give just statistical prediction | [['we', 'show', 'how', 'a', 'general', 'formulation', 'of', 'the', 'fluctuationresponse', 'relation', 'is', 'able', 'to', 'describe', 'in', 'detail', 'the', 'connection', 'between', 'response', 'properties', 'to', 'external', 'perturbations', 'and', 'spontaneous', 'fluctuations', 'in', 'systems', 'with', 'fast', 'and', 'slow', 'variables', 'the', 'method', 'is', 'tested', 'by', 'using', 'the', '360variable', 'lorenz96', 'model', 'where', 'slow', 'and', 'fast', 'variables', 'are', 'coupled', 'to', 'one', 'another', 'with', 'reciprocal', 'feedback', 'and', 'a', 'simplified', 'low', 'dimensional', 'system', 'in', 'the', 'fluctuationresponse', 'context', 'the', 'influence', 'of', 'the', 'fast', 'dynamics', 'on', 'the', 'slow', 'dynamics', 'relies', 'in', 'a', 'non', 'trivial', 'behavior', 'of', 'a', 'suitable', 'quadratic', 'response', 'function', 'this', 'has', 'important', 'consequences', 'for', 'the', 'modeling', 'of', 'the', 'slow', 'dynamics', 'in', 'terms', 'of', 'a', 'langevin', 'equation', 'beyond', 'a', 'certain', 'intrinsic', 'time', 'interval', 'even', 'the', 'optimal', 'model', 'can', 'give', 'just', 'statistical', 'prediction']] | [-0.14196538287991037, 0.1247076015570201, -0.10831647016457283, 0.09366343387421996, -0.06203288577768641, -0.14687590852069357, 0.0389086095810247, 0.32200353508039065, -0.30178883058639866, -0.2727624341224631, 0.10767980530217755, -0.21910220516535142, -0.1998309967496122, 0.19264173644672458, -0.03595803710243975, 0.04826543470068524, 0.02955404074843197, 0.0507200645787331, -0.0772350531857228, -0.19066521389177069, 0.27238245244758824, 0.07508989167254185, 0.27678304820631944, -0.012734522953784714, 0.14707966398758193, 0.01617328534484841, 0.006744440291853001, 0.022660751925286604, -0.09414454028107382, 0.07741926406743005, 0.18497689968438255, 0.07875966496067122, 0.28777374187484384, -0.4495023800370594, -0.23350865613125885, 0.09002038258283089, 0.112520626540451, 0.11087100243118281, -0.031081191773409955, -0.2329993511006857, 0.024521061488000366, -0.13714049042512974, -0.15899465297892068, -0.11322266090428457, 0.04055419377594565, 0.04757834791060608, -0.2708198740147054, 0.13058830897789447, 0.07781437214774391, 0.04052069288251611, -0.04125452590718245, -0.014996063474488135, 0.007389492289318392, 0.10848799146867047, 0.054550467518371684, -0.005308227615508561, 0.11564446304691955, -0.1441050756633558, -0.07858884029750092, 0.3821251960936934, -0.114984807568059, -0.259936360657836, 0.22835957017571976, -0.1504942686840271, -0.12309051031867663, 0.11640415102398644, 0.20632121588569136, 0.12586555627252285, -0.1772466953416976, 0.08847738502493788, 0.006534826227774223, 0.17633542759964863, -0.021972947189351544, 0.014592983888481589, 0.18125508423351372, 0.20027232312131674, 0.013999373892632623, 0.16315084129261473, -0.043067287845769894, -0.1626792429568013, -0.29384324728647093, -0.12439710652688518, -0.11692496504983865, 0.050679739555926064, -0.10052291368629085, -0.15250702602788807, 0.4233601539279334, 0.1473116567217706, 0.20934627569901446, 0.035429152382615334, 0.2917289540249233, 0.1662344219434696, 0.0124443461963286, 0.06752871942201939, 0.24382290481977786, 0.1484319173148833, 0.09577030123521885, -0.25779930092782405, 0.08325783163697148, 0.06766948615356037] |
711.1065 | Optically-stimulated desorption of 'hot' excimers from pre-irradiated Ar
solids | Electronically-induced desorption from solid Ar pre-irradiated by a
low-energy electron beam was investigated by activation spectroscopy methods -
photon-stimulated exoelectron emission and photon-stimulated luminescence in
combination with spectrally-resolved measurements in the VUV range of the
spectrum. Desorption of vibrationally excited argon molecules Ar2^*(v) from the
surface of pre-irradiated solid Ar was observed for the first time. It was
shown that desorption of 'hot' Ar2^*(v) molecules is caused by recombination of
self-trapped holes with electrons released from traps by visible range photons.
The possibility of optical stimulation of the phenomenon is evidenced.
| cond-mat.other | electronicallyinduced desorption from solid ar preirradiated by a lowenergy electron beam was investigated by activation spectroscopy methods photonstimulated exoelectron emission and photonstimulated luminescence in combination with spectrallyresolved measurements in the vuv range of the spectrum desorption of vibrationally excited argon molecules ar2v from the surface of preirradiated solid ar was observed for the first time it was shown that desorption of hot ar2v molecules is caused by recombination of selftrapped holes with electrons released from traps by visible range photons the possibility of optical stimulation of the phenomenon is evidenced | [['electronicallyinduced', 'desorption', 'from', 'solid', 'ar', 'preirradiated', 'by', 'a', 'lowenergy', 'electron', 'beam', 'was', 'investigated', 'by', 'activation', 'spectroscopy', 'methods', 'photonstimulated', 'exoelectron', 'emission', 'and', 'photonstimulated', 'luminescence', 'in', 'combination', 'with', 'spectrallyresolved', 'measurements', 'in', 'the', 'vuv', 'range', 'of', 'the', 'spectrum', 'desorption', 'of', 'vibrationally', 'excited', 'argon', 'molecules', 'ar2v', 'from', 'the', 'surface', 'of', 'preirradiated', 'solid', 'ar', 'was', 'observed', 'for', 'the', 'first', 'time', 'it', 'was', 'shown', 'that', 'desorption', 'of', 'hot', 'ar2v', 'molecules', 'is', 'caused', 'by', 'recombination', 'of', 'selftrapped', 'holes', 'with', 'electrons', 'released', 'from', 'traps', 'by', 'visible', 'range', 'photons', 'the', 'possibility', 'of', 'optical', 'stimulation', 'of', 'the', 'phenomenon', 'is', 'evidenced']] | [0.007797983588099523, 0.2619409915916194, -0.02694208591362868, -0.015801604395603824, 0.09307931388605215, -0.14389467022606525, 0.050940917671026514, 0.4432808358607621, -0.21266934003723764, -0.3209598248546151, -0.016845416574706805, -0.33597794451333324, -0.03324404958871075, 0.1892392224774043, 0.03998932461843066, 0.02668410471115989, 0.02787022579286713, -0.1161144236049176, 0.031999427760983336, -0.1304531553010831, 0.23844230494558297, 0.13611605293391776, 0.22670662711406575, 0.15199350041669163, 0.07455773241068611, -0.042513837641768755, 0.01540666964204832, -0.08562779924350566, -0.12213901717835654, 0.08396864638546075, 0.23748646657271633, 0.014405715193642282, 0.16679084258710689, -0.4648011089998415, -0.31830121220314295, 0.014503281028277573, 0.140556327334937, 0.10090310838416047, -0.10822201261147, -0.2913609491125948, -0.06460223486111767, -0.11095426985244641, -0.08533695263081584, 0.01071817057485553, 0.038358973960081734, 0.03965333401728636, -0.2388953279875133, 0.10530589089257879, -0.029507442228977793, 0.07395267088351579, -0.1476636583456534, -0.08052042618543766, -0.0889545814401802, 0.008543988877115235, 0.03315008381895464, -0.006269779302522369, 0.27337023104144925, -0.07424949899037507, -0.08180654546695537, 0.3700138982385397, -0.125624048363032, 0.039394217061083606, 0.17594337757227235, -0.22029447227973362, -0.033401344833231865, 0.3541477706240512, 0.05058558855270003, 0.17854223540588016, -0.1635068223822391, 0.020499388995411774, -0.0030200465571606295, 0.18760630417743634, 0.1515881647088233, 0.040644001585013904, 0.23094302960725008, 0.17409423567440319, -0.02936346543117844, 0.1623198615237214, -0.21663126482189388, 0.012804348722913828, -0.18074606963561785, -0.15756218334467248, -0.22497527658853722, 0.06998898992154362, 0.049258225692614066, -0.07936757021876663, 0.36391555346634197, 0.027867239543996836, 0.12804772829551292, -0.10481123535374672, 0.2861103760528906, 0.09435079075241258, 0.0444102149975925, -0.00019690522859836448, 0.2801417981049624, 0.1791057492895373, 0.1368705731008373, -0.3224444332099038, 0.08882530628243225, 0.008845486544372365] |
711.1066 | Role of Interlayer Electron Hopping for Spin Density Wave State in the
Zero-Gap Organic Conductor | We investigate the formation of density waves in the zero-gap state (ZGS)
which has been found in the quasi-two-dimensional organic conductor
$\alpha$-(BEDT-TTF)$_2$I$_3$ salt under the hydrostatic pressure. The ZGS
exhibits the cone-like dispersion for both the conduction band and the valence
band which degenerate each other at the two-dimensional wave vectors,
$\pm\mib{k}_0$ forming a zero gap. By using the extended Hubbard model with
repulsive interaction we calculate the onset temperature of the spin density
wave (SDW) as a function of the interlayer electron hopping, which by itself
does not break the cone-like dispersion. It is shown that the SDW with wave
number $2\mib{k}_0$ is induced by the combined effect of the interaction, the
inter-band excitation across the zero-gap and the interlayer hopping.
| cond-mat.str-el | we investigate the formation of density waves in the zerogap state zgs which has been found in the quasitwodimensional organic conductor alphabedtttf_2i_3 salt under the hydrostatic pressure the zgs exhibits the conelike dispersion for both the conduction band and the valence band which degenerate each other at the twodimensional wave vectors pmmibk_0 forming a zero gap by using the extended hubbard model with repulsive interaction we calculate the onset temperature of the spin density wave sdw as a function of the interlayer electron hopping which by itself does not break the conelike dispersion it is shown that the sdw with wave number 2mibk_0 is induced by the combined effect of the interaction the interband excitation across the zerogap and the interlayer hopping | [['we', 'investigate', 'the', 'formation', 'of', 'density', 'waves', 'in', 'the', 'zerogap', 'state', 'zgs', 'which', 'has', 'been', 'found', 'in', 'the', 'quasitwodimensional', 'organic', 'conductor', 'alphabedtttf_2i_3', 'salt', 'under', 'the', 'hydrostatic', 'pressure', 'the', 'zgs', 'exhibits', 'the', 'conelike', 'dispersion', 'for', 'both', 'the', 'conduction', 'band', 'and', 'the', 'valence', 'band', 'which', 'degenerate', 'each', 'other', 'at', 'the', 'twodimensional', 'wave', 'vectors', 'pmmibk_0', 'forming', 'a', 'zero', 'gap', 'by', 'using', 'the', 'extended', 'hubbard', 'model', 'with', 'repulsive', 'interaction', 'we', 'calculate', 'the', 'onset', 'temperature', 'of', 'the', 'spin', 'density', 'wave', 'sdw', 'as', 'a', 'function', 'of', 'the', 'interlayer', 'electron', 'hopping', 'which', 'by', 'itself', 'does', 'not', 'break', 'the', 'conelike', 'dispersion', 'it', 'is', 'shown', 'that', 'the', 'sdw', 'with', 'wave', 'number', '2mibk_0', 'is', 'induced', 'by', 'the', 'combined', 'effect', 'of', 'the', 'interaction', 'the', 'interband', 'excitation', 'across', 'the', 'zerogap', 'and', 'the', 'interlayer', 'hopping']] | [-0.20226754944984957, 0.21464921671528525, -0.042384912149282174, 0.040076712433559196, -0.02819312900537625, -0.1261942521557406, 0.04962767137524982, 0.36435587036733824, -0.2839954348746687, -0.24346191417425872, -0.02175093340726259, -0.30961797597507634, -0.13281885447601477, 0.10024970302474685, 0.14048829462068776, -0.0014819855336099864, -0.04108637238192993, -0.015780614766602714, -0.1304167855026511, -0.16688779226969927, 0.34380643487287066, 0.03313986565141628, 0.31611801337761186, 0.11000475467638655, 0.02292567053421711, 0.050704683421645316, 0.14364092782295, 0.00967583885261168, -0.14669639585135882, 0.018561851892930765, 0.24211277160308478, -0.1403150219489665, 0.2268678661241817, -0.42420722934572647, -0.2798724107599507, -0.006166332509989539, 0.11648082238680217, 0.13136372746375855, -0.050372833449364406, -0.30057991509481025, -0.014366155350580811, -0.19306474208909397, -0.16471417985934142, -0.01842586728356158, -0.01992076582585772, 0.033687258154774705, -0.23679232334252448, 0.1528476692076462, 0.04503860325785354, 0.007311289090042313, -0.1214602307183668, -0.11895262641677012, -0.1721518900032, 0.03683689944834138, 0.06301140855357516, 0.05925274146332716, 0.11385576407289287, -0.12395215601815532, -0.03463698702010636, 0.39745089181233195, -0.09691082358670731, -0.11174595935735851, 0.18358246081819138, -0.2113510082825087, -0.012081845726546211, 0.21692932163908457, 0.0749692785864075, 0.032954791844046365, -0.10849524493678472, 0.08054143402162785, -0.05215226612987559, 0.16156866000965237, 0.06886045962067631, 0.050972023885697125, 0.274879449699074, 0.16677148807260286, 0.059335235684799655, 0.13376909557312805, -0.17234611059733046, -0.03652019168172652, -0.21253797124760845, -0.14735852011071984, -0.2664255777994792, 0.022172423012913594, -0.03718964651755717, -0.22245490142837904, 0.4430359747959301, 0.11862582217242258, 0.15750275475438685, -0.044859564749882945, 0.22325585138751194, 0.1880992843294128, 0.09623693085207681, 0.08555671782717884, 0.2720989729044959, 0.15982623639671753, 0.09478497460174064, -0.3328476597632592, 0.0654399477217036, 0.02623892292952708] |
711.1067 | Subleading terms in asymptotic Passarino-Veltman functions | We write explicit and self-contained asymptotic expressions for the tensorial
B, C and D Passarino-Veltman functions. These include quadratic and linear
logarithmic terms, as well as subleading constant terms. Only mass-suppressed
O(m^2/s) contributions are neglected. We discuss the usefulness of such
expressions, particularly for studying one-loop effects in 2-to-2 body
processes at high energy.
| hep-ph | we write explicit and selfcontained asymptotic expressions for the tensorial b c and d passarinoveltman functions these include quadratic and linear logarithmic terms as well as subleading constant terms only masssuppressed om2s contributions are neglected we discuss the usefulness of such expressions particularly for studying oneloop effects in 2to2 body processes at high energy | [['we', 'write', 'explicit', 'and', 'selfcontained', 'asymptotic', 'expressions', 'for', 'the', 'tensorial', 'b', 'c', 'and', 'd', 'passarinoveltman', 'functions', 'these', 'include', 'quadratic', 'and', 'linear', 'logarithmic', 'terms', 'as', 'well', 'as', 'subleading', 'constant', 'terms', 'only', 'masssuppressed', 'om2s', 'contributions', 'are', 'neglected', 'we', 'discuss', 'the', 'usefulness', 'of', 'such', 'expressions', 'particularly', 'for', 'studying', 'oneloop', 'effects', 'in', '2to2', 'body', 'processes', 'at', 'high', 'energy']] | [-0.1316543508338619, 0.12047679662563891, 0.012298290099386336, 0.17663761193178734, -0.07845928224752534, -0.14645206281599008, 0.008677174076372054, 0.2768939897694783, -0.2209936231023298, -0.2561752407653433, 0.06499435372852702, -0.3075947520797545, -0.1833225880521086, 0.18410602127606013, 0.023958985684966703, 0.06074506515320742, -0.020149260381552972, 0.02242124966293011, -0.08655302307375197, -0.21130913243418173, 0.27094116645320404, 0.022944363043863186, 0.16557231726441182, 0.17731779312960944, 0.11241899416694101, 0.0669006104009964, -0.108765773738752, -0.011455171759117325, -0.16890036708341455, 0.04816912357115521, 0.28465515778417577, 0.055601624192072534, 0.17194150145745501, -0.4287680550039096, -0.1533357179987262, 0.061377407517284155, 0.1887819700004568, 0.11754850324524461, 0.02804707834180796, -0.18446787123410208, 0.06424658862601544, -0.23653902057206855, -0.15678225949687777, -0.22930428238128717, 0.0726443316231763, 0.00675531859808373, -0.2764408234462915, 0.116686050990983, 0.06511686779426867, 0.06302129199622937, -0.03444244364223812, -0.2327060321837945, 0.005701965533794378, 0.14420926858196562, 0.10557476541835745, -0.005111315006495647, 0.10985867806517009, -0.18331200311417287, -0.08206004276871681, 0.38654655075790184, -0.14999349753126362, -0.2692172356512187, 0.15495115840139817, -0.16696960213682, -0.12894743553995383, 0.07082277452046017, 0.2201486377150945, 0.14466660816435492, -0.16607568199517872, 0.2097660626937143, 0.085616950903369, 0.025996849854599755, 0.12817498241147063, 0.14170806300562788, 0.13842832935833424, -0.0070693435252837415, -0.04737556821508509, 0.16566678531959933, 0.034245994504330295, -0.08493894312249602, -0.4758461708870699, -0.13110539756873446, -0.10822900201914445, 0.031890713317618474, -0.13818238736135788, -0.16570199298549373, 0.3411607195728652, 0.026536820632106852, 0.18481089006933682, 0.13704766579112918, 0.2976174235765664, 0.197949284507524, 0.06628927471937682, 0.0867051977910242, 0.21181169788370718, 0.12666672228765236, 0.053037624841309944, -0.22563784651212254, 0.0586574334686376, 0.09825370241097121] |
711.1068 | A conservative evolution of the Brownian excursion | We consider the problem of conditioning the Brownian excursion to have a
fixed time average over the interval [0,1] and we study an associated
stochastic partial differential equation with reflection at 0 and with the
constraint of conservation of the space average. The equation is driven by the
derivative in space of a space-time white noise and contains a double Laplacian
in the drift. Due to the lack of the maximum principle for the double
Laplacian, the standard techniques based on the penalization method do not
yield existence of a solution.
| math.PR | we consider the problem of conditioning the brownian excursion to have a fixed time average over the interval 01 and we study an associated stochastic partial differential equation with reflection at 0 and with the constraint of conservation of the space average the equation is driven by the derivative in space of a spacetime white noise and contains a double laplacian in the drift due to the lack of the maximum principle for the double laplacian the standard techniques based on the penalization method do not yield existence of a solution | [['we', 'consider', 'the', 'problem', 'of', 'conditioning', 'the', 'brownian', 'excursion', 'to', 'have', 'a', 'fixed', 'time', 'average', 'over', 'the', 'interval', '01', 'and', 'we', 'study', 'an', 'associated', 'stochastic', 'partial', 'differential', 'equation', 'with', 'reflection', 'at', '0', 'and', 'with', 'the', 'constraint', 'of', 'conservation', 'of', 'the', 'space', 'average', 'the', 'equation', 'is', 'driven', 'by', 'the', 'derivative', 'in', 'space', 'of', 'a', 'spacetime', 'white', 'noise', 'and', 'contains', 'a', 'double', 'laplacian', 'in', 'the', 'drift', 'due', 'to', 'the', 'lack', 'of', 'the', 'maximum', 'principle', 'for', 'the', 'double', 'laplacian', 'the', 'standard', 'techniques', 'based', 'on', 'the', 'penalization', 'method', 'do', 'not', 'yield', 'existence', 'of', 'a', 'solution']] | [-0.11826829723297404, 0.06711828600500766, -0.08900992802451722, 0.03084384844571884, -0.08520609246065411, -0.07365878624329855, 0.04729548858089761, 0.31727304828390324, -0.30417166298234855, -0.29319826935182564, 0.14455878978421155, -0.29714063892734577, -0.10502382296720868, 0.16776526088002497, -0.08435115660284902, 0.06570388266693923, 0.038279277231585196, 0.08068184084246181, -0.08791974269795222, -0.19877778153078487, 0.35325520731774823, 0.0170014446939004, 0.21430958565938604, 0.008297995193400881, 0.1871046620922593, 0.00789299025712023, -0.05167391353829221, 0.020569998110199328, -0.15176960029434616, 0.10672259883274539, 0.13746291945514444, 0.0729682561685587, 0.3110983199695801, -0.39838035152918033, -0.22705230588710018, 0.13885351712559604, 0.0930748255645145, 0.057400997943029955, -0.029346064650351285, -0.26299834155201257, 0.087366400749658, -0.12019353253500802, -0.13780419752104106, 0.0077636115954022155, 0.008623432879755786, 0.061443882213987326, -0.2862038582686212, 0.1298593715201695, 0.09844797240713468, 0.0065156257644827876, -0.07112436688372067, -0.09275008606529989, -0.011911746395936052, 0.05744035317368069, 0.042648157730422256, -0.00037422803982805746, 0.07093236527334039, -0.10417431705998471, -0.12973887197018324, 0.3652361232722127, -0.142459089568417, -0.2814291869302966, 0.11256779535100438, -0.18507767717896417, -0.09919582712617549, 0.1689639240564677, 0.15622163079979645, 0.149835784627882, -0.143517918096712, 0.14112667385603886, -0.007407353566652471, 0.13788484897628261, 0.06232692032110888, -0.0018475017750860898, 0.14942735012820257, 0.16570068289433698, 0.1550797684026043, 0.10988433253797857, -0.1186326933381209, -0.12755896924779966, -0.3473540299295724, -0.15692463801702955, -0.1671969815065245, 0.06995250185670787, -0.11997365744021378, -0.20917356782336974, 0.35689247165202764, 0.118839939247694, 0.19696075220561618, 0.06671592325054027, 0.25035883002187853, 0.2366279779810581, 0.026519314687862828, 0.0419516993691674, 0.17866059936772377, 0.17939639117077485, 0.11755126094379063, -0.25123114341864833, 0.043429520656610585, 0.0771400519022411] |
711.1069 | Numerical analysis of solitons profiles in a composite model for DNA to
rsion dynamics | We present the results of our numerical analysis of a "composite" model of
DNA which generalizes a well-known elementary torsional model of Yakushevich by
allowing bases to move independently from the backbone. The model shares with
the Yakushevich model many features and results but it represents an
improvement from both the conceptual and the phenomenological point of view. It
provides a more realistic description of DNA and possibly a justification for
the use of models which consider the DNA chain as uniform. It shows that the
existence of solitons is a generic feature of the underlying nonlinear dynamics
and is to a large extent independent of the detailed modelling of DNA. As
opposite to the Yakushevich model, where it is needed to use an unphysical
value for the torsion in order to induce the correct velocity of sound, the
model we consider supports solitonic solutions, qualitatively and
quantitatively very similar to the Yakushevich solitons, in a fully realistic
range of all the physical parameters characterizing the DNA.
| q-bio.BM q-bio.QM | we present the results of our numerical analysis of a composite model of dna which generalizes a wellknown elementary torsional model of yakushevich by allowing bases to move independently from the backbone the model shares with the yakushevich model many features and results but it represents an improvement from both the conceptual and the phenomenological point of view it provides a more realistic description of dna and possibly a justification for the use of models which consider the dna chain as uniform it shows that the existence of solitons is a generic feature of the underlying nonlinear dynamics and is to a large extent independent of the detailed modelling of dna as opposite to the yakushevich model where it is needed to use an unphysical value for the torsion in order to induce the correct velocity of sound the model we consider supports solitonic solutions qualitatively and quantitatively very similar to the yakushevich solitons in a fully realistic range of all the physical parameters characterizing the dna | [['we', 'present', 'the', 'results', 'of', 'our', 'numerical', 'analysis', 'of', 'a', 'composite', 'model', 'of', 'dna', 'which', 'generalizes', 'a', 'wellknown', 'elementary', 'torsional', 'model', 'of', 'yakushevich', 'by', 'allowing', 'bases', 'to', 'move', 'independently', 'from', 'the', 'backbone', 'the', 'model', 'shares', 'with', 'the', 'yakushevich', 'model', 'many', 'features', 'and', 'results', 'but', 'it', 'represents', 'an', 'improvement', 'from', 'both', 'the', 'conceptual', 'and', 'the', 'phenomenological', 'point', 'of', 'view', 'it', 'provides', 'a', 'more', 'realistic', 'description', 'of', 'dna', 'and', 'possibly', 'a', 'justification', 'for', 'the', 'use', 'of', 'models', 'which', 'consider', 'the', 'dna', 'chain', 'as', 'uniform', 'it', 'shows', 'that', 'the', 'existence', 'of', 'solitons', 'is', 'a', 'generic', 'feature', 'of', 'the', 'underlying', 'nonlinear', 'dynamics', 'and', 'is', 'to', 'a', 'large', 'extent', 'independent', 'of', 'the', 'detailed', 'modelling', 'of', 'dna', 'as', 'opposite', 'to', 'the', 'yakushevich', 'model', 'where', 'it', 'is', 'needed', 'to', 'use', 'an', 'unphysical', 'value', 'for', 'the', 'torsion', 'in', 'order', 'to', 'induce', 'the', 'correct', 'velocity', 'of', 'sound', 'the', 'model', 'we', 'consider', 'supports', 'solitonic', 'solutions', 'qualitatively', 'and', 'quantitatively', 'very', 'similar', 'to', 'the', 'yakushevich', 'solitons', 'in', 'a', 'fully', 'realistic', 'range', 'of', 'all', 'the', 'physical', 'parameters', 'characterizing', 'the', 'dna']] | [-0.09697701669685699, 0.07316796309164793, -0.10230704808529623, 0.06162184378770766, -0.07163533829375655, -0.13619636722790177, 0.031047430205922908, 0.3285895811929228, -0.25761315591834083, -0.2784294302918262, 0.05891829275269574, -0.24627531629925717, -0.15150336574652917, 0.19777609967252988, -0.026770126660114635, 0.02709455840557278, 0.051199451180922236, 0.04071969308605986, -0.013285788570803975, -0.17158773256755785, 0.2889765250973381, 0.06479782350138276, 0.2709699439269652, 0.03439264115459191, 0.10423036757856607, -0.0026406266490934405, -0.011703816058482239, 0.015573726102575928, -0.1508056615010231, 0.14602331322489562, 0.21189045010533752, 0.09051404305775392, 0.23354152564871164, -0.4208004909294273, -0.24722396709515662, 0.08640017087604783, 0.12257826184396615, 0.18544397756184067, -0.01589036298663743, -0.2501841632337003, 0.08930747810413804, -0.1590719786333199, -0.1566073245084482, -0.0862099270972083, 0.0109332087589149, 0.04669808263996404, -0.2571064574604932, 0.06155936656279969, 0.09524242449997963, 0.036338207674419094, -0.07629444264433162, -0.07853656819279858, -0.03262550608411119, 0.14132554471091238, 0.07773495487127074, 0.01901170304100849, 0.0946475451304661, -0.15354090500176845, -0.08572824504282214, 0.41688664400292014, -0.06214840323483003, -0.21245819739830082, 0.21289473477037188, -0.08935456159440967, -0.11144194619250512, 0.12012539643091624, 0.11827967727339331, 0.1043400529878002, -0.13596910025860312, 0.050528893304060206, -0.08011473696623109, 0.18730057547971032, 0.0270028538711949, 0.01003421699449777, 0.21987576092297803, 0.20071514568174492, 0.026317136715972116, 0.1522266182373696, -0.06439846640865425, -0.14330639406023715, -0.32167696167818066, -0.14104675079980297, -0.13812321830683102, 0.02287465934200745, -0.09594480292465535, -0.20456523103583715, 0.4424575373173474, 0.16562017455783348, 0.23662958182059898, 0.047967810542768836, 0.2669398852367467, 0.06348124556564085, 0.06337480173964878, 0.01872722822113219, 0.20602115841504343, 0.12066604284162516, 0.0695319110736764, -0.19438091297717597, 0.05746340903615255, 0.03419932392899862] |
711.107 | Adaptive Eigenvalue Computation - Complexity Estimates | This paper is concerned with the design and analysis of a fully adaptive
eigenvalue solver for linear symmetric operators. After transforming the
original problem into an equivalent one formulated on $\ell_2$, the space of
square summable sequences, the problem becomes sufficiently well conditioned so
that a gradient type iteration can be shown to reduce the error by some fixed
factor per step. It then remains to realize these (ideal) iterations within
suitable dynamically updated error tolerances. It is shown under which
circumstances the adaptive scheme exhibits in some sense asymptotically optimal
complexity.
| math.NA | this paper is concerned with the design and analysis of a fully adaptive eigenvalue solver for linear symmetric operators after transforming the original problem into an equivalent one formulated on ell_2 the space of square summable sequences the problem becomes sufficiently well conditioned so that a gradient type iteration can be shown to reduce the error by some fixed factor per step it then remains to realize these ideal iterations within suitable dynamically updated error tolerances it is shown under which circumstances the adaptive scheme exhibits in some sense asymptotically optimal complexity | [['this', 'paper', 'is', 'concerned', 'with', 'the', 'design', 'and', 'analysis', 'of', 'a', 'fully', 'adaptive', 'eigenvalue', 'solver', 'for', 'linear', 'symmetric', 'operators', 'after', 'transforming', 'the', 'original', 'problem', 'into', 'an', 'equivalent', 'one', 'formulated', 'on', 'ell_2', 'the', 'space', 'of', 'square', 'summable', 'sequences', 'the', 'problem', 'becomes', 'sufficiently', 'well', 'conditioned', 'so', 'that', 'a', 'gradient', 'type', 'iteration', 'can', 'be', 'shown', 'to', 'reduce', 'the', 'error', 'by', 'some', 'fixed', 'factor', 'per', 'step', 'it', 'then', 'remains', 'to', 'realize', 'these', 'ideal', 'iterations', 'within', 'suitable', 'dynamically', 'updated', 'error', 'tolerances', 'it', 'is', 'shown', 'under', 'which', 'circumstances', 'the', 'adaptive', 'scheme', 'exhibits', 'in', 'some', 'sense', 'asymptotically', 'optimal', 'complexity']] | [-0.10054627742995406, 0.0816632053555741, -0.06719153782393297, 0.07178109635867219, -0.049038996211374586, -0.20209142744905598, 0.043949227168923244, 0.3924193943081343, -0.3525482811762587, -0.24813604216678473, 0.18324500822295112, -0.20249062712790203, -0.17538709957506912, 0.16772525826641155, -0.12841652369420248, 0.12354463206745846, 0.09636618345773415, 0.0710713360964766, -0.07809651568886297, -0.3185158545434799, 0.28130025830140093, 0.09042003399530507, 0.266466103160106, -0.04913830665084432, 0.15851056029129287, -0.0068767663982251415, -0.014517456272859936, 0.05004585635027109, -0.10021787690817766, 0.08172039208559158, 0.2619693621173096, 0.09177547789927896, 0.365733048149749, -0.3813248210910546, -0.15226770565926057, 0.12540734208026982, 0.17776371182306952, 0.08739287978539284, -0.028333879051902128, -0.24538070014070557, 0.11779030730299976, -0.11175817524528374, -0.13757055819682454, -0.07131440555879279, -0.020592873470614784, -0.02255726629822596, -0.3559326989001736, 0.027620440536259633, 0.078889497472277, -0.012087980437132976, -0.04501329532460026, -0.12158732925055792, 0.03465151905497212, 0.07799913485676212, 0.03449211018058755, 0.05421243510563332, 0.0975492468316351, -0.04520987148103102, -0.046770291100509225, 0.38058063700673694, -0.024911494971171993, -0.2792258094996214, 0.09258516759449698, -0.0534768028680802, -0.10987893295848904, 0.14864714211359134, 0.137948926771376, 0.1227854550714888, -0.12473617268361799, 0.12373029989754761, -0.030464657305223544, 0.20432707738591885, 0.05240094094061414, 0.046558488332463996, 0.12099309886410914, 0.1560861935462447, 0.19919061446410563, 0.16389377599799723, -0.007816441749404792, -0.10824090753600973, -0.3101134987183563, -0.12882211792242268, -0.18181479531947686, 0.03183864976365484, -0.07747327240481948, -0.17135540853221598, 0.3461999708785262, 0.12269801604460277, 0.17490783155612324, 0.10357750085028744, 0.29482577582213865, 0.16992257623528334, 0.055319196178258964, 0.12522675125586355, 0.19514995004852687, 0.10891918128649906, 0.055272821504015315, -0.2230957861756906, 0.07365444115313712, 0.14833424926694969] |
711.1071 | Double-Resonance g Factor Measurements by Quantum Jump Spectroscopy | With the advent of high-precision frequency combs that can bridge large
frequency intervals, new possibilities have opened up for the laser
spectroscopy of atomic transitions. Here, we show that laser spectroscopic
techniques can also be used to determine the ground-state g factor of a bound
electron: Our proposal is based on a double-resonance experiment, where the
spin state of a ground-state electron is constantly being read out by laser
excitation to the atomic L shell, while the spin flip transitions are being
induced simultaneously by a resonant microwave field, leading to a detection of
the quantum jumps between the ground-state Zeeman sublevels. The magnetic
moments of electrons in light hydrogen-like ions could thus be measured with
advanced laser technology. Corresponding theoretical predictions are also
presented.
| physics.atom-ph | with the advent of highprecision frequency combs that can bridge large frequency intervals new possibilities have opened up for the laser spectroscopy of atomic transitions here we show that laser spectroscopic techniques can also be used to determine the groundstate g factor of a bound electron our proposal is based on a doubleresonance experiment where the spin state of a groundstate electron is constantly being read out by laser excitation to the atomic l shell while the spin flip transitions are being induced simultaneously by a resonant microwave field leading to a detection of the quantum jumps between the groundstate zeeman sublevels the magnetic moments of electrons in light hydrogenlike ions could thus be measured with advanced laser technology corresponding theoretical predictions are also presented | [['with', 'the', 'advent', 'of', 'highprecision', 'frequency', 'combs', 'that', 'can', 'bridge', 'large', 'frequency', 'intervals', 'new', 'possibilities', 'have', 'opened', 'up', 'for', 'the', 'laser', 'spectroscopy', 'of', 'atomic', 'transitions', 'here', 'we', 'show', 'that', 'laser', 'spectroscopic', 'techniques', 'can', 'also', 'be', 'used', 'to', 'determine', 'the', 'groundstate', 'g', 'factor', 'of', 'a', 'bound', 'electron', 'our', 'proposal', 'is', 'based', 'on', 'a', 'doubleresonance', 'experiment', 'where', 'the', 'spin', 'state', 'of', 'a', 'groundstate', 'electron', 'is', 'constantly', 'being', 'read', 'out', 'by', 'laser', 'excitation', 'to', 'the', 'atomic', 'l', 'shell', 'while', 'the', 'spin', 'flip', 'transitions', 'are', 'being', 'induced', 'simultaneously', 'by', 'a', 'resonant', 'microwave', 'field', 'leading', 'to', 'a', 'detection', 'of', 'the', 'quantum', 'jumps', 'between', 'the', 'groundstate', 'zeeman', 'sublevels', 'the', 'magnetic', 'moments', 'of', 'electrons', 'in', 'light', 'hydrogenlike', 'ions', 'could', 'thus', 'be', 'measured', 'with', 'advanced', 'laser', 'technology', 'corresponding', 'theoretical', 'predictions', 'are', 'also', 'presented']] | [-0.10794776585325598, 0.27030601748917255, -0.044771923549473285, 0.0203257987331599, -0.029597232334315778, -0.16194484328106046, 0.08340427491627633, 0.421758595213294, -0.23453150941058992, -0.3325390508621931, 0.011010882071219384, -0.2880355186462402, -0.023184495106339454, 0.24327432085573672, 0.06431825099885463, 0.054760472094640134, 0.055097526219673454, -0.02360322404652834, -0.04875850716605783, -0.15085694725252688, 0.26566476145386697, 0.08540952953230589, 0.26036322439834475, 0.07426592852175236, 0.07496567096188664, -0.044686456376686695, 0.04689934234973043, -0.04153398228809237, -0.12271259579493199, 0.10985920807719231, 0.2698692544177175, 0.024153163958340884, 0.22777200342714787, -0.4344711487591267, -0.1902349088769406, 0.04271713212504983, 0.1441241079606116, 0.17740702375024558, -0.06753904387820513, -0.3370704496726394, -0.0022553033120930196, -0.14517378108389675, -0.13034366917610168, -0.12184095852077008, 0.008745330729521812, 0.06458135257987306, -0.26043110068142417, 0.0014729585754685104, 0.008385190937668085, 0.05166951752081513, -0.034958990264683965, -0.0740582709312439, -0.0023270503934472797, 0.06750526405125856, -0.005007315624505282, 0.08103719213977456, 0.17201034977287055, -0.08150785275781527, -0.15553401600406505, 0.3511283427523449, -0.10615660802274943, -0.09219941710680724, 0.13650229898095131, -0.21481337916105986, -0.07679115726146847, 0.17563441151194276, 0.1051579838609323, 0.10372441319329664, -0.12726512770541012, 0.06022370347194374, 0.02170523948967457, 0.1966169512886554, 0.1010696925073862, 0.09654075991921127, 0.2620444469302893, 0.14792036470025777, 0.057416062388103456, 0.1272445983393118, -0.16128854162059725, -0.04311728662438691, -0.22731101046502591, -0.13553399659181015, -0.21740685084462166, 0.08584179567173124, -0.007084964757785201, -0.09729697462916374, 0.4122927872389555, 0.12038570671528578, 0.14663386120833458, -0.07823940456658601, 0.32502488159388304, 0.1474820309029892, 0.07731952251493932, 0.004022118972614407, 0.2981492732586339, 0.1790722586028278, 0.056455444764345886, -0.30244427487161013, 0.0010533425733447075, -0.002253285061568022] |
711.1072 | Test of the Schr\"odinger functional with chiral fermions in the
Gross-Neveu model | The recently proposed construction of chiral fermions on lattices with
boundaries is tested in an interacting theory up to first order of perturbation
theory. We confirm that, in the bulk of the lattice, the chiral Ward identities
take their continuum value up to cutoff effects without any tuning. Universal
quantities are defined that have an expansion in the renormalised couplings
with coefficients that are functions of the physical size and the periodicity
in the spatial direction. These coefficient functions have to be identical for
different discretisations. We find agreement with the standard Wilson fermions.
The computation is done in the asymptotically free Gross-Neveu model with
continuous chiral symmetry.
| hep-lat | the recently proposed construction of chiral fermions on lattices with boundaries is tested in an interacting theory up to first order of perturbation theory we confirm that in the bulk of the lattice the chiral ward identities take their continuum value up to cutoff effects without any tuning universal quantities are defined that have an expansion in the renormalised couplings with coefficients that are functions of the physical size and the periodicity in the spatial direction these coefficient functions have to be identical for different discretisations we find agreement with the standard wilson fermions the computation is done in the asymptotically free grossneveu model with continuous chiral symmetry | [['the', 'recently', 'proposed', 'construction', 'of', 'chiral', 'fermions', 'on', 'lattices', 'with', 'boundaries', 'is', 'tested', 'in', 'an', 'interacting', 'theory', 'up', 'to', 'first', 'order', 'of', 'perturbation', 'theory', 'we', 'confirm', 'that', 'in', 'the', 'bulk', 'of', 'the', 'lattice', 'the', 'chiral', 'ward', 'identities', 'take', 'their', 'continuum', 'value', 'up', 'to', 'cutoff', 'effects', 'without', 'any', 'tuning', 'universal', 'quantities', 'are', 'defined', 'that', 'have', 'an', 'expansion', 'in', 'the', 'renormalised', 'couplings', 'with', 'coefficients', 'that', 'are', 'functions', 'of', 'the', 'physical', 'size', 'and', 'the', 'periodicity', 'in', 'the', 'spatial', 'direction', 'these', 'coefficient', 'functions', 'have', 'to', 'be', 'identical', 'for', 'different', 'discretisations', 'we', 'find', 'agreement', 'with', 'the', 'standard', 'wilson', 'fermions', 'the', 'computation', 'is', 'done', 'in', 'the', 'asymptotically', 'free', 'grossneveu', 'model', 'with', 'continuous', 'chiral', 'symmetry']] | [-0.13002448119395585, 0.19639177335220329, -0.08966424659377446, 0.013991142013023986, -0.047823203848329957, -0.11101863935969218, -0.007278834739096325, 0.39540019173485536, -0.2062315118878528, -0.26332259160914906, 0.06479730838974421, -0.28586004194760417, -0.122295809176716, 0.12252630043076351, 0.01647660018540962, 0.09406566066522996, -0.021563226934867324, 0.03559116449603742, -0.11371241050505045, -0.27595782571653316, 0.3095430083361592, 0.01196755256710781, 0.2776823611153911, 0.07416674436535686, 0.05277516341043843, -0.016658315616142418, 0.003604234782633958, 0.004637257428839803, -0.12122503539467289, 0.09255775011196318, 0.17731970367593156, -0.04739429727218252, 0.16973486522005665, -0.42876442828802047, -0.23752497055290775, 0.0612678136245382, 0.1293406120363485, 0.12038517206113923, -0.0038719924858823004, -0.26900154668018567, 0.08897780736960056, -0.15996692099617105, -0.20764713960751477, -0.11857723150212594, -0.018168480892200023, -0.02901383635105082, -0.288788391372051, 0.08799788554164546, -0.012128092710756593, 0.07413427259221121, -0.052809022168663365, -0.10783025611265286, -0.03844544444560866, 0.1411577952094376, 0.08875621104487907, 0.02014032944269409, 0.07112362103954958, -0.15534268997402656, -0.1623161103602292, 0.3955843912403065, -0.08211181366264268, -0.2489522456933089, 0.1693833741247309, -0.15729896042978875, -0.1496957667146085, 0.09311553435226314, 0.11286954147767068, 0.09315113606862724, -0.1467989672501399, 0.14874611636656077, -0.06534542758190245, 0.16618592919527414, 0.0767209014307742, 0.03549358575475236, 0.1992588982641421, 0.07904148802669995, 0.03001709705158309, 0.10511406259589691, -0.0033377984439505745, -0.14007242940715514, -0.34105573296956543, -0.1118300963665846, -0.1910989983179779, 0.024628375036021073, -0.15282070610865722, -0.2018329262791667, 0.36192279615163525, 0.1899460130241803, 0.2000105754662029, 0.06992426691188787, 0.20846920127600985, 0.18809324145075623, 0.15039496334847408, 0.057784897238619765, 0.2525080486062776, 0.13035114707977133, 0.05531718014929168, -0.2573945777214788, -0.034450534694500407, 0.13985627611098742] |
711.1073 | Structure, Time Propagation and Dissipative Terms for Resonances | For odd anharmonic oscillators, it is well known that complex scaling can be
used to determine resonance energy eigenvalues and the corresponding
eigenvectors in complex rotated space. We briefly review and discuss various
methods for the numerical determination of such eigenvalues, and also discuss
the connection to the case of purely imaginary coupling, which is PT-symmetric.
Moreover, we show that a suitable generalization of the complex scaling method
leads to an algorithm for the time propagation of wave packets in potentials
which give rise to unstable resonances. This leads to a certain unification of
the structure and the dynamics. Our time propagation results agree with known
quantum dynamics solvers and allow for a natural incorporation of structural
perturbations (e.g., due to dissipative processes) into the quantum dynamics.
| math-ph math.MP | for odd anharmonic oscillators it is well known that complex scaling can be used to determine resonance energy eigenvalues and the corresponding eigenvectors in complex rotated space we briefly review and discuss various methods for the numerical determination of such eigenvalues and also discuss the connection to the case of purely imaginary coupling which is ptsymmetric moreover we show that a suitable generalization of the complex scaling method leads to an algorithm for the time propagation of wave packets in potentials which give rise to unstable resonances this leads to a certain unification of the structure and the dynamics our time propagation results agree with known quantum dynamics solvers and allow for a natural incorporation of structural perturbations eg due to dissipative processes into the quantum dynamics | [['for', 'odd', 'anharmonic', 'oscillators', 'it', 'is', 'well', 'known', 'that', 'complex', 'scaling', 'can', 'be', 'used', 'to', 'determine', 'resonance', 'energy', 'eigenvalues', 'and', 'the', 'corresponding', 'eigenvectors', 'in', 'complex', 'rotated', 'space', 'we', 'briefly', 'review', 'and', 'discuss', 'various', 'methods', 'for', 'the', 'numerical', 'determination', 'of', 'such', 'eigenvalues', 'and', 'also', 'discuss', 'the', 'connection', 'to', 'the', 'case', 'of', 'purely', 'imaginary', 'coupling', 'which', 'is', 'ptsymmetric', 'moreover', 'we', 'show', 'that', 'a', 'suitable', 'generalization', 'of', 'the', 'complex', 'scaling', 'method', 'leads', 'to', 'an', 'algorithm', 'for', 'the', 'time', 'propagation', 'of', 'wave', 'packets', 'in', 'potentials', 'which', 'give', 'rise', 'to', 'unstable', 'resonances', 'this', 'leads', 'to', 'a', 'certain', 'unification', 'of', 'the', 'structure', 'and', 'the', 'dynamics', 'our', 'time', 'propagation', 'results', 'agree', 'with', 'known', 'quantum', 'dynamics', 'solvers', 'and', 'allow', 'for', 'a', 'natural', 'incorporation', 'of', 'structural', 'perturbations', 'eg', 'due', 'to', 'dissipative', 'processes', 'into', 'the', 'quantum', 'dynamics']] | [-0.1377080665776638, 0.12977880140132633, -0.07676349786718882, 0.08565711951722926, -0.0844607416679716, -0.1272210332374345, -0.004311790717325694, 0.3544288031522214, -0.2806668778016107, -0.2659282083293115, 0.08644620932117984, -0.23808171372039347, -0.21300449072728006, 0.20288179330087788, 0.018164899005869945, 0.0667705708146682, 0.06737866649022839, 0.053105329696866356, -0.055954805347980474, -0.19098554760049002, 0.3116408180313434, 0.05445543958028177, 0.23540605827212685, 0.07484321609711436, 0.07131238674788963, 0.0050180073493842296, 0.025447715502818973, -0.01033688057236938, -0.13169160828887627, 0.10059860247869308, 0.23370060330019865, 0.07583408776348032, 0.2089243438663181, -0.44313315882193527, -0.21128776801500734, 0.10276640118026417, 0.1613628278841864, 0.152530978793117, -0.026696332832330867, -0.29262001709609226, 0.04783748005934822, -0.11876896486111631, -0.1763305665455817, -0.15177033720611352, 0.023806671600964828, 0.02382453562559809, -0.2703034563900309, 0.07233649106328668, 0.07154311896870133, 0.0017701745713652134, -0.0658801795472941, -0.07399994030404161, 0.013323263575938918, 0.10447340359265997, 0.03475758381642577, -0.033326316824710864, 0.09349474346441194, -0.09022925546077469, -0.12197040791593962, 0.42716562954752935, -0.04282601441506032, -0.22564219014616463, 0.21666186559564016, -0.1177083421365622, -0.10178351935409889, 0.11758757835826067, 0.1893506755348383, 0.0934586052573836, -0.08781574588080164, 0.08996253126753699, 0.02468361520021879, 0.12928635118837198, 0.0631384769469265, 0.0555812819076218, 0.15463081346898097, 0.12788697187678785, 0.07669689471826074, 0.13813730194435023, -0.023111492567732345, -0.1618690500915872, -0.3057886768777774, -0.15949025230416222, -0.15958805975511553, 0.07091624256052484, -0.10096831357885266, -0.19642999981288015, 0.44605959285285296, 0.15967442922103475, 0.23101896800716795, 0.04867327584899727, 0.25874909871408175, 0.16555665667474959, 0.05621133551485543, 0.04407964091735166, 0.2318938412212246, 0.19073988878586162, 0.0794891152809572, -0.2608480281462365, -0.0012746611096727566, 0.03236311063991757] |
711.1074 | Charged Rotating Black Holes on DGP Brane | We consider charged rotating black holes localized on a three-brane in the
DGP model. Assuming a $Z_2$-symmetry across the brane and with a stationary and
axisymmetric metric ansatz on the brane, a particular solution is obtained in
the Kerr-Schild form. This solution belongs to the accelerated branch of the
DGP model and has the characteristic of the Kerr-Newman-de Sitter type solution
in general relativity. Using a modified version of Boyer-Lindquist coordinates
we examine the structures of the horizon and ergosphere.
| hep-th gr-qc | we consider charged rotating black holes localized on a threebrane in the dgp model assuming a z_2symmetry across the brane and with a stationary and axisymmetric metric ansatz on the brane a particular solution is obtained in the kerrschild form this solution belongs to the accelerated branch of the dgp model and has the characteristic of the kerrnewmande sitter type solution in general relativity using a modified version of boyerlindquist coordinates we examine the structures of the horizon and ergosphere | [['we', 'consider', 'charged', 'rotating', 'black', 'holes', 'localized', 'on', 'a', 'threebrane', 'in', 'the', 'dgp', 'model', 'assuming', 'a', 'z_2symmetry', 'across', 'the', 'brane', 'and', 'with', 'a', 'stationary', 'and', 'axisymmetric', 'metric', 'ansatz', 'on', 'the', 'brane', 'a', 'particular', 'solution', 'is', 'obtained', 'in', 'the', 'kerrschild', 'form', 'this', 'solution', 'belongs', 'to', 'the', 'accelerated', 'branch', 'of', 'the', 'dgp', 'model', 'and', 'has', 'the', 'characteristic', 'of', 'the', 'kerrnewmande', 'sitter', 'type', 'solution', 'in', 'general', 'relativity', 'using', 'a', 'modified', 'version', 'of', 'boyerlindquist', 'coordinates', 'we', 'examine', 'the', 'structures', 'of', 'the', 'horizon', 'and', 'ergosphere']] | [-0.15494031794078184, 0.027953960208105855, -0.11890827410388738, 0.12556303923483939, -0.09788360241800546, -0.15942042469396256, -0.0262651938945055, 0.27908374422113413, -0.15637770234825438, -0.22411506709177048, 0.08163684307801304, -0.28033203571103515, -0.10095226084813476, 0.12016892674728297, -0.06005074920831248, -0.012090978911146522, 0.011086446221452207, 0.05945387257961556, -0.09852801544475369, -0.18330552869301756, 0.4030521433567628, 0.06307591672521085, 0.27927732807584105, -0.09050545633072034, 0.14027872077422215, -0.0252907145768404, 0.06471458231244469, 0.08753922507166863, -0.18431489088688977, 0.059844015169073825, 0.12776479227177334, 0.136859350244049, 0.19106903683859855, -0.42315755237359554, -0.22677583855111152, 0.08765267606358976, 0.18685061396099628, 0.20796113983960823, -0.0850907542888308, -0.3153019703226164, 0.04759730976365972, -0.20157232040073722, -0.20445452036801726, 0.00706104637356475, 0.019724434078671037, -0.0627183770557167, -0.21822648523375393, 0.10169506358215585, 0.0591046724061016, -0.07998558138497174, -0.18952402252471073, 0.005422628254746087, -0.041070561530068515, -0.006459766899934038, 0.1483471810046467, 0.0355350520752836, 0.11143852545646951, -0.10697074757481459, -0.06437348049948924, 0.38082023058086634, -0.11682923181215302, -0.2892068836838007, 0.1256768561899662, -0.1923092254459334, -0.07214014738565311, 0.04332848615013063, 0.16138073364272715, 0.2604407554958016, -0.1365588948094228, 0.24783018055313732, -0.02761296916869469, 0.12329643198754639, 0.14336940104840323, -0.02827449476098991, 0.3251309809507802, 0.1426434536668239, 0.010917889478150755, 0.20147925765486435, -0.07429141668835655, -0.15199739310191945, -0.370598401944153, -0.15799666120437905, -0.13308945457392837, 0.09650553471874446, -0.21874301712887245, -0.24552823149133474, 0.38882192672172095, 0.04807578230975196, 0.1435420700290706, 0.01934542417548073, 0.20634636552226765, 0.06490192087367178, 0.016188341079396196, 0.16401527615380473, 0.3164726821007207, 0.08188124148000497, 0.148407134442823, -0.22504676215467043, -0.07808166217291727, 0.15954285940970295] |
711.1075 | Combining CPT-conjugate Neutrino channels at Fermilab | We explore an alternative strategy to determine the neutrino mass hierarchy
by making use of possible future neutrino facilities at Fermilab. Here, we use
CPT-conjugate neutrino channels, exploiting a nu_mu beam from the NuMI beamline
and a barnu_e beam from a betabeam experimental setup. Both experiments are
performed at approximately the same E/L. We present different possible
accelerator scenarios for the betabeam neutrino setup and fluxes. This
CPT-conjugate neutrino channel scenario can extract the neutrino mass hierarchy
down to sin^2 (2 theta_13) \approx 0.02.
| hep-ph | we explore an alternative strategy to determine the neutrino mass hierarchy by making use of possible future neutrino facilities at fermilab here we use cptconjugate neutrino channels exploiting a nu_mu beam from the numi beamline and a barnu_e beam from a betabeam experimental setup both experiments are performed at approximately the same el we present different possible accelerator scenarios for the betabeam neutrino setup and fluxes this cptconjugate neutrino channel scenario can extract the neutrino mass hierarchy down to sin2 2 theta_13 approx 002 | [['we', 'explore', 'an', 'alternative', 'strategy', 'to', 'determine', 'the', 'neutrino', 'mass', 'hierarchy', 'by', 'making', 'use', 'of', 'possible', 'future', 'neutrino', 'facilities', 'at', 'fermilab', 'here', 'we', 'use', 'cptconjugate', 'neutrino', 'channels', 'exploiting', 'a', 'nu_mu', 'beam', 'from', 'the', 'numi', 'beamline', 'and', 'a', 'barnu_e', 'beam', 'from', 'a', 'betabeam', 'experimental', 'setup', 'both', 'experiments', 'are', 'performed', 'at', 'approximately', 'the', 'same', 'el', 'we', 'present', 'different', 'possible', 'accelerator', 'scenarios', 'for', 'the', 'betabeam', 'neutrino', 'setup', 'and', 'fluxes', 'this', 'cptconjugate', 'neutrino', 'channel', 'scenario', 'can', 'extract', 'the', 'neutrino', 'mass', 'hierarchy', 'down', 'to', 'sin2', '2', 'theta_13', 'approx', '002']] | [-0.06919412520905358, 0.2634186231591143, -0.008747053376975514, 0.19225527689420796, -0.05701838221423151, -0.19357927911360526, 0.11210671955043272, 0.36984488575364505, -0.21430250259471081, -0.32199822322443306, 0.028448081858056997, -0.3214097770285748, 0.031527656014077365, 0.22411529485890197, 0.055595846979745796, 0.08882858262707789, 0.11238859983582404, -0.0905184652545445, -0.11987723989018594, -0.17235435660196735, 0.26045431887420517, 0.20156620745547116, 0.2820263546503459, 0.06411752497245159, 0.16391575526601324, -0.08055657756492673, -0.053994821051933935, -0.1886834225040816, -0.12098493206368792, -0.03132165501093758, 0.26065544050098177, 0.1881588038578186, 0.04846752967153277, -0.40817301414374796, -0.11148871694292341, 0.16683630507794164, 0.12578555544106557, 0.07582274517543348, -0.04974375484189728, -0.3016069972599369, 0.030649665839432384, -0.25726627926563933, -0.15789822970760897, 0.014161625034397557, -0.12029942658375062, -0.0883998082939624, -0.361466964861999, 0.0014815052411341597, -0.13293478199436018, -0.01001764657086737, 0.021057882495889708, -0.23496818599856592, 0.09113894747791901, 0.03539395317368742, 0.11541196753525929, 0.006164745921047316, 0.09822125485377564, -0.11105882712096597, -0.10184701917959112, 0.3820102682470211, -0.022645190864014217, -0.10214775058695869, 0.09434466360627473, -0.19027370169559227, -0.05798556230452266, 0.10727362173687045, 0.1897318172046826, 0.04391624327399768, -0.23221781273328124, 0.06041477219661742, -0.10473373787161629, 0.18639384412450627, 0.12646944855528308, -0.03175297861369992, 0.30527701820912106, 0.3004324829449788, 0.16412785639321165, -0.07941110921092331, -0.24690037543907584, 0.07002797058556184, -0.3827506655915862, -0.060456905602699236, -0.047009742475070414, 0.08706373388191596, 0.012128179405408446, 0.015067876266714717, 0.4274276224896312, 0.16840818375238173, 0.16842883049199978, 0.005063136540619391, 0.32099331515131607, 0.0034707241492079838, 0.018097887156597738, -0.00373733428395575, 0.28413153394579976, 0.09605143644148484, 0.20342169168760024, -0.3035281094600491, -0.028794595239950076, 0.016752086060088395] |
711.1076 | Modelling element distributions in the atmospheres of magnetic Ap stars | In recent papers convincing evidence has been presented for chemical
stratification in Ap star atmospheres, and surface abundance maps have been
shown to correlate with the magnetic field direction. Radiatively driven
diffusion in magnetic fields is among the processes responsible for these
inhomogeneities. Here we explore the hypothesis that equilibrium
stratifications can, in a number of cases, explain the observed abundance maps
and vertical distributions of the various elements. The investigation of
equilibrium stratifications in stellar atmospheres with temperatures from 8500K
to 12000K and fields up to 10 kG reveals considerable variations in the
vertical distribution of the 5 elements studied (Mg, Si, Ca, Ti, Fe), often
with zones of large over- or under-abundances and with indications of other
competing processes (such as mass loss). Horizontal magnetic fields can be very
efficient in helping the accumulation of elements in higher layers. A
comparison between our calculations and the vertical abundance profiles and
surface maps derived by magnetic Doppler imaging reveals that equilibrium
stratifications are in a number of cases consistent with the main trends
inferred from observed spectra. However, it is not clear whether such
equilibrium solutions will ever be reached during the evolution of an Ap star.
| astro-ph | in recent papers convincing evidence has been presented for chemical stratification in ap star atmospheres and surface abundance maps have been shown to correlate with the magnetic field direction radiatively driven diffusion in magnetic fields is among the processes responsible for these inhomogeneities here we explore the hypothesis that equilibrium stratifications can in a number of cases explain the observed abundance maps and vertical distributions of the various elements the investigation of equilibrium stratifications in stellar atmospheres with temperatures from 8500k to 12000k and fields up to 10 kg reveals considerable variations in the vertical distribution of the 5 elements studied mg si ca ti fe often with zones of large over or underabundances and with indications of other competing processes such as mass loss horizontal magnetic fields can be very efficient in helping the accumulation of elements in higher layers a comparison between our calculations and the vertical abundance profiles and surface maps derived by magnetic doppler imaging reveals that equilibrium stratifications are in a number of cases consistent with the main trends inferred from observed spectra however it is not clear whether such equilibrium solutions will ever be reached during the evolution of an ap star | [['in', 'recent', 'papers', 'convincing', 'evidence', 'has', 'been', 'presented', 'for', 'chemical', 'stratification', 'in', 'ap', 'star', 'atmospheres', 'and', 'surface', 'abundance', 'maps', 'have', 'been', 'shown', 'to', 'correlate', 'with', 'the', 'magnetic', 'field', 'direction', 'radiatively', 'driven', 'diffusion', 'in', 'magnetic', 'fields', 'is', 'among', 'the', 'processes', 'responsible', 'for', 'these', 'inhomogeneities', 'here', 'we', 'explore', 'the', 'hypothesis', 'that', 'equilibrium', 'stratifications', 'can', 'in', 'a', 'number', 'of', 'cases', 'explain', 'the', 'observed', 'abundance', 'maps', 'and', 'vertical', 'distributions', 'of', 'the', 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711.1077 | Implications of HERA measurements for LHC | I discuss the theoretical understanding of key measurements at HERA and their
relevance for physics at LHC, focusing on recent developments for structure
functions and for diffraction.
| hep-ph | i discuss the theoretical understanding of key measurements at hera and their relevance for physics at lhc focusing on recent developments for structure functions and for diffraction | [['i', 'discuss', 'the', 'theoretical', 'understanding', 'of', 'key', 'measurements', 'at', 'hera', 'and', 'their', 'relevance', 'for', 'physics', 'at', 'lhc', 'focusing', 'on', 'recent', 'developments', 'for', 'structure', 'functions', 'and', 'for', 'diffraction']] | [0.010254909870801148, 0.10715172484655071, -0.06744109759866088, 0.08040999607355506, -0.056332755764877354, -0.092782482983441, 0.02226161549764651, 0.3750267779385602, -0.2225906543985561, -0.270513528475055, 0.12322906977324574, -0.34400098531127526, -0.07428128013594283, 0.26968364803879347, 0.09958140821092659, 0.12641036986476845, 0.06749608657426304, -0.06480056345807733, -0.1070722090770249, -0.23705862509949063, 0.3432228046607364, 0.1489967311973925, 0.31454574040792604, 0.2198876634378124, 0.08912905729893181, 0.12496192879215987, -0.12489253511928299, -0.0516947092557395, -0.20866257476585884, 0.14198219179417249, 0.2911557755260556, 0.1540819889417401, 0.20282214404842644, -0.4936733875009749, -0.1964749468283521, -0.05344995011196092, 0.08158510595698047, 0.08039154005409391, -0.15271802773026544, -0.2516029722712658, 0.06661768098948179, -0.08581839156923471, -0.16073825072359155, -0.1202797260031932, 0.04394889333181911, 0.03306200424278224, -0.21757725173719572, 0.012043252276877562, -0.013560977902401376, 0.12682741093966696, -0.03261780711235823, -0.23616409715678957, 0.06964437184958822, 0.03975824604707735, 0.0025976994937216796, 0.025430365931242704, 0.09717626207404667, -0.26509034716420704, -0.20781516290649218, 0.3550509979810428, 0.050711524155404836, -0.05772527096862042, 0.21322271524480096, -0.2920125288957799, -0.2531244542311739, 0.024769941379350645, 0.27976129562766466, 0.01585422194114438, -0.0849006917280214, 0.11695676606959077, 0.05157752431653164, 0.07397372606727812, 0.02083940096889381, 0.14689835100607188, 0.2955224458128214, 0.28079102823027857, -0.03512815218763771, -0.008121344847259697, -0.07025609241315613, -0.08743586477444128, -0.4237521458072243, -0.05958258767646772, -0.0981869336079668, 0.0007392398461147591, -0.024846672976208437, -0.01767037315639081, 0.40660050069844283, 0.1620299373925836, 0.2361706380766851, -0.01167314182277079, 0.3114532121905574, 0.043993413409528635, 0.0006511631438991537, -0.032234582808558586, 0.3028413000413113, 0.16752724025260518, 0.19555357652198938, -0.21217238516719253, 0.10548391812739687, 0.038198657540811434] |
711.1078 | Comment on "Reply to Comment on Time-dependent Quasi-Hermitian
Hamiltonians and the Unitary Quantum Evolution" | I point out that if one defines the operator $U_R(t)$ as done by M. Znojil in
his reply [arXiv:0711.0514v1] to my comment [arXiv:0711.0137v1] and also
accepts the validity of the defining relation of $U_R(t)$ as given in his paper
[arXiv:0710.5653v1], one finds that the time-evolution of the associated
quantum system is not governed by the Schr\"odinger equation for the
Hamiltonian operator $H$ but an operator $H'$ which differs from $H$ if the
metric operator is time-dependent. In the latter case this effective
Hamiltonian $H'$ is not observable. This is consistent with the conclusions of
my paper [Phys. Lett. B 650, 208 (2007), arXiv:0706.1872v2] which allow for
unitary time-evolution generated by unobservable Hamiltonians.
| quant-ph | i point out that if one defines the operator u_rt as done by m znojil in his reply arxiv07110514v1 to my comment arxiv07110137v1 and also accepts the validity of the defining relation of u_rt as given in his paper arxiv07105653v1 one finds that the timeevolution of the associated quantum system is not governed by the schrodinger equation for the hamiltonian operator h but an operator h which differs from h if the metric operator is timedependent in the latter case this effective hamiltonian h is not observable this is consistent with the conclusions of my paper phys lett b 650 208 2007 arxiv07061872v2 which allow for unitary timeevolution generated by unobservable hamiltonians | [['i', 'point', 'out', 'that', 'if', 'one', 'defines', 'the', 'operator', 'u_rt', 'as', 'done', 'by', 'm', 'znojil', 'in', 'his', 'reply', 'arxiv07110514v1', 'to', 'my', 'comment', 'arxiv07110137v1', 'and', 'also', 'accepts', 'the', 'validity', 'of', 'the', 'defining', 'relation', 'of', 'u_rt', 'as', 'given', 'in', 'his', 'paper', 'arxiv07105653v1', 'one', 'finds', 'that', 'the', 'timeevolution', 'of', 'the', 'associated', 'quantum', 'system', 'is', 'not', 'governed', 'by', 'the', 'schrodinger', 'equation', 'for', 'the', 'hamiltonian', 'operator', 'h', 'but', 'an', 'operator', 'h', 'which', 'differs', 'from', 'h', 'if', 'the', 'metric', 'operator', 'is', 'timedependent', 'in', 'the', 'latter', 'case', 'this', 'effective', 'hamiltonian', 'h', 'is', 'not', 'observable', 'this', 'is', 'consistent', 'with', 'the', 'conclusions', 'of', 'my', 'paper', 'phys', 'lett', 'b', '650', '208', '2007', 'arxiv07061872v2', 'which', 'allow', 'for', 'unitary', 'timeevolution', 'generated', 'by', 'unobservable', 'hamiltonians']] | [-0.09577561528739435, 0.14467832304190695, -0.06398880997757343, -0.008046304591169411, -0.0885822275230153, -0.17375689296221192, 0.03180178731087257, 0.2945544996214184, -0.21288565295663747, -0.26011708798733624, 0.04516165048751811, -0.30031329418786545, -0.15074573338285766, 0.152472752855498, -0.08813864300874147, 0.0011529102392325347, 0.08353012432767586, 0.07161335432478651, -0.04511328106322749, -0.24677632750773973, 0.3343796698207205, 0.09062867742349309, 0.18497572574256496, 0.04310543104736346, 0.07755191526481543, 0.0511886881346899, -0.03273978420448574, -0.024913313045081768, -0.13529880920660534, 0.04711548366520384, 0.2111622728407383, 0.13684450669044798, 0.276756479751996, -0.3540060554969717, -0.15561598730273546, 0.10439887228845195, 0.11117703985285268, 0.05251965401482515, 0.03462786555967547, -0.3250506082189862, 0.04078744037330828, -0.17625034272840076, -0.15783729554069312, -0.0293756965293803, 0.12436958954415538, -0.06251319268803028, -0.24398749728941105, 0.09887277540295723, 0.12280446742661297, 0.04169060090895404, -0.018496199348010122, -0.08355926582483914, -0.05636347350241108, 0.040151958349584176, 0.005827609115195545, 0.0939150835048746, 0.09009667429226366, -0.038297670863738115, -0.08596983659927818, 0.4001410770822655, -0.07831866920565847, -0.19276349299841306, 0.11498828931732781, -0.13692322919907218, -0.12666281947485086, 0.06567430051720956, 0.041568602608855476, 0.14226362016052008, -0.1792113014242866, 0.19474830354764974, -0.08581979245963421, 0.12886776826900048, 0.054382708126848395, -0.014606720623983578, 0.13079969160978427, 0.03894139008427208, 0.05625176867046817, 0.06730067437853325, 0.016110684476602313, -0.11111812696538188, -0.3715230282226747, -0.1612098323752765, -0.23759771823375062, 0.13135553477781783, -0.004911841860501392, -0.12425152341073209, 0.39904818135229025, 0.18709625337611546, 0.1965729183432731, -0.009001750272529368, 0.17758047370748087, 0.1929783999560062, -0.00015381973988207227, 0.12843460460955447, 0.21942715286912226, 0.15148637463677336, 0.1019806884271516, -0.22339790907730772, 0.03209339269775559, 0.12790432935752588] |
711.1079 | 70Ge(p,gamma)71As and 76Ge(p,n)76As cross sections for the astrophysical
p process: sensitivity of the optical proton potential at low energies | The cross sections of the 70Ge(p,gamma)71As and 76Ge(p,n)76As reactions have
been measured with the activation method in the Gamow window for the
astrophysical p process. The experiments were carried out at the Van de Graaff
and cyclotron accelerators of ATOMKI. The cross sections have been derived by
measuring the decay gamma-radiation of the reaction products. The results are
compared to the predictions of Hauser-Feshbach statistical model calculations
using the code NON-SMOKER. Good agreement between theoretical and experimental
S factors is found. Based on the new data, modifications of the optical
potential used for low-energy protons are discussed.
| nucl-ex | the cross sections of the 70gepgamma71as and 76gepn76as reactions have been measured with the activation method in the gamow window for the astrophysical p process the experiments were carried out at the van de graaff and cyclotron accelerators of atomki the cross sections have been derived by measuring the decay gammaradiation of the reaction products the results are compared to the predictions of hauserfeshbach statistical model calculations using the code nonsmoker good agreement between theoretical and experimental s factors is found based on the new data modifications of the optical potential used for lowenergy protons are discussed | [['the', 'cross', 'sections', 'of', 'the', '70gepgamma71as', 'and', '76gepn76as', 'reactions', 'have', 'been', 'measured', 'with', 'the', 'activation', 'method', 'in', 'the', 'gamow', 'window', 'for', 'the', 'astrophysical', 'p', 'process', 'the', 'experiments', 'were', 'carried', 'out', 'at', 'the', 'van', 'de', 'graaff', 'and', 'cyclotron', 'accelerators', 'of', 'atomki', 'the', 'cross', 'sections', 'have', 'been', 'derived', 'by', 'measuring', 'the', 'decay', 'gammaradiation', 'of', 'the', 'reaction', 'products', 'the', 'results', 'are', 'compared', 'to', 'the', 'predictions', 'of', 'hauserfeshbach', 'statistical', 'model', 'calculations', 'using', 'the', 'code', 'nonsmoker', 'good', 'agreement', 'between', 'theoretical', 'and', 'experimental', 's', 'factors', 'is', 'found', 'based', 'on', 'the', 'new', 'data', 'modifications', 'of', 'the', 'optical', 'potential', 'used', 'for', 'lowenergy', 'protons', 'are', 'discussed']] | [-0.022979106180565922, 0.10174251988432124, -0.09945508791409483, 0.11071830566332592, 0.033494434726277465, -0.10591068352131468, 0.011071837305452822, 0.3645341710040444, -0.18350090370758584, -0.3149574568789256, -0.007950865324145477, -0.3561749907602605, -0.022228122237873706, 0.27540227581232196, 0.09540045533917452, 0.15317266476585678, 0.09455002967611348, 0.03070756074433264, -0.03466728275249663, -0.21023636974492355, 0.29769575463509873, 0.20777737145361147, 0.28452959252815496, 0.11157498076362045, 0.04755576276588008, -0.013827691886475996, -0.08573379114662347, -0.03770450969275675, -0.17251889560077535, 0.11673453061988479, 0.2621839471430959, 0.07114338915010816, 0.14948493903012652, -0.434447187510025, -0.19897368307176388, 0.058014751098265774, 0.09315277306412004, 0.09824681376156054, -0.06617462921421975, -0.29844441827337603, 0.06607931160925594, -0.1777816642173811, -0.07177418918397865, -0.0746378137779079, 0.008698745390498324, 0.08611339438020399, -0.24752032897974316, 0.03493814640678465, -0.050725577600104245, 0.06406569799682506, -0.1006969332474431, -0.23150130740709995, -0.017976263376246943, 0.09967873972399455, 0.06685342000595196, 0.0055559263837303184, 0.17157441668555531, -0.06325558577909281, -0.1431683740639863, 0.3853060422759307, -0.06156524841330553, -0.13341116140547551, 0.13798919683567396, -0.14404943819696966, -0.11141630372424659, 0.18777560387051812, 0.1468047830815378, 0.09355895141825864, -0.16130652898236325, 0.10300839597567622, 0.010005530862039641, 0.10922893362217828, 0.09924730204388892, -0.03138263813337912, 0.150611384516876, 0.1824721206947671, -0.12087056847093136, 0.024077120630413687, -0.16043451015445354, -0.0744295774419841, -0.320968791058189, -0.11487847917566174, -0.11352095787266367, 0.0038434958380285504, -0.008521542915810929, -0.07860969123675635, 0.34802226144820453, 0.07979763114922925, 0.21708750023849702, -0.01799146813389502, 0.26347688851927065, 0.11153194681790314, 0.08283970997129617, 0.02520541367121041, 0.3480988594556325, 0.17976669691699115, 0.09624788584187627, -0.24511004481464624, 0.1009584255859648, 0.016806917723366305] |
711.108 | Thermal expansion and magnetostriction of pure and doped RAgSb2 (R = Y,
Sm, La) single crystals | Data on temperature-dependent, anisotropic thermal expansion in pure and
doped RAgSb2 (R = Y, Sm, La) single crystals are presented. Using the Ehrenfest
relation and heat capacity measurements, uniaxial pressure derivatives for long
range magnetic ordering and charge density wave transition temperatures are
evaluated and compared with the results of the direct measurements under
hydrostatic pressure. In-plane and c-axis pressure have opposite effect on the
phase transitions in these materials, with in-plane effects being significantly
weaker. Quantum oscillations in magnetostriction were observed for the three
pure compounds, with the possible detection of new frequencies in SmAgSb2 and
LaAgSb2. The uniaxial (along the c-axis) pressure derivatives of the dominant
extreme orbits (beta) were evaluated for YAgSb2 and LaAgSb2.
| cond-mat.mtrl-sci | data on temperaturedependent anisotropic thermal expansion in pure and doped ragsb2 r y sm la single crystals are presented using the ehrenfest relation and heat capacity measurements uniaxial pressure derivatives for long range magnetic ordering and charge density wave transition temperatures are evaluated and compared with the results of the direct measurements under hydrostatic pressure inplane and caxis pressure have opposite effect on the phase transitions in these materials with inplane effects being significantly weaker quantum oscillations in magnetostriction were observed for the three pure compounds with the possible detection of new frequencies in smagsb2 and laagsb2 the uniaxial along the caxis pressure derivatives of the dominant extreme orbits beta were evaluated for yagsb2 and laagsb2 | [['data', 'on', 'temperaturedependent', 'anisotropic', 'thermal', 'expansion', 'in', 'pure', 'and', 'doped', 'ragsb2', 'r', 'y', 'sm', 'la', 'single', 'crystals', 'are', 'presented', 'using', 'the', 'ehrenfest', 'relation', 'and', 'heat', 'capacity', 'measurements', 'uniaxial', 'pressure', 'derivatives', 'for', 'long', 'range', 'magnetic', 'ordering', 'and', 'charge', 'density', 'wave', 'transition', 'temperatures', 'are', 'evaluated', 'and', 'compared', 'with', 'the', 'results', 'of', 'the', 'direct', 'measurements', 'under', 'hydrostatic', 'pressure', 'inplane', 'and', 'caxis', 'pressure', 'have', 'opposite', 'effect', 'on', 'the', 'phase', 'transitions', 'in', 'these', 'materials', 'with', 'inplane', 'effects', 'being', 'significantly', 'weaker', 'quantum', 'oscillations', 'in', 'magnetostriction', 'were', 'observed', 'for', 'the', 'three', 'pure', 'compounds', 'with', 'the', 'possible', 'detection', 'of', 'new', 'frequencies', 'in', 'smagsb2', 'and', 'laagsb2', 'the', 'uniaxial', 'along', 'the', 'caxis', 'pressure', 'derivatives', 'of', 'the', 'dominant', 'extreme', 'orbits', 'beta', 'were', 'evaluated', 'for', 'yagsb2', 'and', 'laagsb2']] | [-0.16911452164280072, 0.25621747520579174, -0.009525708954130192, -0.01836484942618197, -0.0487155999609195, -0.12830112051152814, 0.06248236515773543, 0.42172771672495696, -0.24253536119183475, -0.26429462211981286, 0.04849774883936398, -0.3449733377541457, -0.03284687484795871, 0.19409628380069394, 0.09188513495687363, 0.05480837208771073, -0.04372303967520726, 0.00047210532094277773, -0.1299068484031925, -0.21856217094556948, 0.25779490392094695, 0.0510490475855026, 0.34845529153811194, 0.05733753988195821, 0.037372368364182784, -0.02312874997990717, 0.07199353635243132, 0.06278433387612808, -0.17772574074047645, -0.026198344276311385, 0.2335561003136259, -0.10518170724235541, 0.1325855831887606, -0.42490053185945853, -0.22526312973432705, -0.004918414466824811, 0.04871469385823054, 0.08528630634300015, -0.0729101524189675, -0.275133354193737, 0.035969664655889556, -0.0997903660445606, -0.08912909228717332, -0.12953823589332467, -0.006660417076694755, 0.03107630359256162, -0.2693589869556965, 0.19560190973354225, 0.028460636549522127, 0.13354192940369908, -0.1557032918656426, -0.20201152694139596, -0.07744052761390938, 0.02118241044783355, 0.1083295484077581, 0.04086221155887717, 0.18728078129511755, -0.07783685702072309, -0.08790355617081565, 0.37286546064820963, -0.1159180031875066, -0.08662843985680853, 0.14875335050169872, -0.22427053091042073, -0.08989396450546079, 0.17584633979270547, 0.11701070831313862, 0.0915388235146493, -0.12997690425872538, 0.04621268301610876, 0.06144137337993917, 0.13009350638387446, 0.11857103279058252, 0.023286003505077577, 0.2177684352922756, 0.10936818828814523, -0.011534197439348935, 0.12615063326820666, -0.14060692615246614, -0.035458328874588045, -0.21137924223676718, -0.187546420469468, -0.15333077198191158, 0.021014404207425792, -0.1289951475892181, -0.16689664990006559, 0.3271521801346361, 0.1427558257772002, 0.12766946778237095, -0.03554143610954351, 0.2540639472622589, 0.09151335788964896, 0.07313450688364363, 0.03966512366206245, 0.28815301765061385, 0.20304127258817312, 0.14863220669032462, -0.2904216841489604, 0.09776957522237063, -0.0164224277219562] |
711.1081 | Short-time dynamics of a packing of polyhedral grains under horizontal
vibrations | We analyze the dynamics of a 3D granular packing composed of particles of
irregular polyhedral shape confined inside a rectangular box with a retaining
wall sub jected to horizontal harmonic forcing. The simulations are performed
by means of the contact dynamics method for a broad set of loading parameters.
We explore the vibrational dynamics of the packing, the evolution of solid
fraction and the scaling of dy- namics with the loading parameters. We show
that the motion of the retaining wall is strongly anharmonic as a result of
jamming and grain rearrangements. It is found that the mean particle
displacement scales with inverse square of frequency, the inverse of the force
amplitude and the square of gravity. The short- time compaction rate grows in
proportion to frequency up to a characteristic frequency, corresponding to
collective particle rearrangements between equilibrium states, and then it
declines in inverse proportion to frequency.
| physics.class-ph | we analyze the dynamics of a 3d granular packing composed of particles of irregular polyhedral shape confined inside a rectangular box with a retaining wall sub jected to horizontal harmonic forcing the simulations are performed by means of the contact dynamics method for a broad set of loading parameters we explore the vibrational dynamics of the packing the evolution of solid fraction and the scaling of dy namics with the loading parameters we show that the motion of the retaining wall is strongly anharmonic as a result of jamming and grain rearrangements it is found that the mean particle displacement scales with inverse square of frequency the inverse of the force amplitude and the square of gravity the short time compaction rate grows in proportion to frequency up to a characteristic frequency corresponding to collective particle rearrangements between equilibrium states and then it declines in inverse proportion to frequency | [['we', 'analyze', 'the', 'dynamics', 'of', 'a', '3d', 'granular', 'packing', 'composed', 'of', 'particles', 'of', 'irregular', 'polyhedral', 'shape', 'confined', 'inside', 'a', 'rectangular', 'box', 'with', 'a', 'retaining', 'wall', 'sub', 'jected', 'to', 'horizontal', 'harmonic', 'forcing', 'the', 'simulations', 'are', 'performed', 'by', 'means', 'of', 'the', 'contact', 'dynamics', 'method', 'for', 'a', 'broad', 'set', 'of', 'loading', 'parameters', 'we', 'explore', 'the', 'vibrational', 'dynamics', 'of', 'the', 'packing', 'the', 'evolution', 'of', 'solid', 'fraction', 'and', 'the', 'scaling', 'of', 'dy', 'namics', 'with', 'the', 'loading', 'parameters', 'we', 'show', 'that', 'the', 'motion', 'of', 'the', 'retaining', 'wall', 'is', 'strongly', 'anharmonic', 'as', 'a', 'result', 'of', 'jamming', 'and', 'grain', 'rearrangements', 'it', 'is', 'found', 'that', 'the', 'mean', 'particle', 'displacement', 'scales', 'with', 'inverse', 'square', 'of', 'frequency', 'the', 'inverse', 'of', 'the', 'force', 'amplitude', 'and', 'the', 'square', 'of', 'gravity', 'the', 'short', 'time', 'compaction', 'rate', 'grows', 'in', 'proportion', 'to', 'frequency', 'up', 'to', 'a', 'characteristic', 'frequency', 'corresponding', 'to', 'collective', 'particle', 'rearrangements', 'between', 'equilibrium', 'states', 'and', 'then', 'it', 'declines', 'in', 'inverse', 'proportion', 'to', 'frequency']] | [-0.1374238721720465, 0.22232218824511382, -0.07806522340432509, -0.003941242406519768, -0.02171556405323064, -0.07053699755678641, 0.039466650218971625, 0.3708474325053644, -0.3193166935957043, -0.2731761002113055, 0.06796106999746256, -0.27056240625429473, -0.11255741923197404, 0.14887437958351568, 0.017212358322119554, 0.0683140101133152, 0.019182834600804735, 0.03249438534547019, -0.03098010528448269, -0.17871400016366235, 0.24087937417652633, 0.07385983288088101, 0.2590085067739398, 0.02619399494357132, 0.11335851439281099, -0.004157929206204495, 0.009528371485125198, 0.06731371098704286, -0.17156213071033588, 0.08186980517348275, 0.15927108321745173, 0.024428996101221782, 0.2623982439427043, -0.40238165476628196, -0.1910980521096151, 0.09058724020001473, 0.13044112027253982, 0.09305334096186912, -0.013634638973330492, -0.21038067934334578, 0.03877506477230122, -0.12389316516084559, -0.17162776936545668, -0.024163623093533634, 0.08567314134323156, 0.08782222933267186, -0.262914092001824, 0.1574430503513689, 0.07284776037777681, 0.05776755754435872, -0.08380922786860208, -0.07815927186755826, -0.03360746771365954, 0.11083809287996725, 0.057442532099108365, -0.009636450462018284, 0.2137851288804672, -0.15061192562211392, -0.045168400235824135, 0.4149766991652498, -0.04866291600710794, -0.2116741055072654, 0.21979728226093637, -0.2013111980381928, -0.03356118059260833, 0.19994120602339707, 0.1931598873858984, 0.07371177251806996, -0.10515350852499172, 0.044034838717080804, -0.021441094414799806, 0.19518372286642408, 0.11278886104552638, -0.00960517733360972, 0.2069532583348903, 0.2128998967600149, 0.06681342996131853, 0.2041914413383093, -0.1432964957761422, -0.12208518761853944, -0.2720514113371004, -0.12301664837267275, -0.1984756519367931, 0.049094542537522094, -0.11361617294191727, -0.2140795497033095, 0.380247663731543, 0.07438364015554622, 0.20743450938080182, 0.08720204216621866, 0.247906711127534, 0.09273313563842492, 0.06385423570102543, 0.051819784397996914, 0.2231867793547427, 0.14784184362248662, 0.07702644936968542, -0.30587168936398906, -0.0026844393105664908, 0.05970755173205929] |
711.1082 | Multivariate normal approximation with Stein's method of exchangeable
pairs under a general linearity condition | In this paper we establish a multivariate exchangeable pairs approach within
the framework of Stein's method to assess distributional distances to
potentially singular multivariate normal distributions. By extending the
statistics into a higher-dimensional space, we also propose an embedding method
which allows for a normal approximation even when the corresponding statistics
of interest do not lend themselves easily to Stein's exchangeable pairs
approach. To illustrate the method, we provide the examples of runs on the line
as well as double-indexed permutation statistics.
| math.PR | in this paper we establish a multivariate exchangeable pairs approach within the framework of steins method to assess distributional distances to potentially singular multivariate normal distributions by extending the statistics into a higherdimensional space we also propose an embedding method which allows for a normal approximation even when the corresponding statistics of interest do not lend themselves easily to steins exchangeable pairs approach to illustrate the method we provide the examples of runs on the line as well as doubleindexed permutation statistics | [['in', 'this', 'paper', 'we', 'establish', 'a', 'multivariate', 'exchangeable', 'pairs', 'approach', 'within', 'the', 'framework', 'of', 'steins', 'method', 'to', 'assess', 'distributional', 'distances', 'to', 'potentially', 'singular', 'multivariate', 'normal', 'distributions', 'by', 'extending', 'the', 'statistics', 'into', 'a', 'higherdimensional', 'space', 'we', 'also', 'propose', 'an', 'embedding', 'method', 'which', 'allows', 'for', 'a', 'normal', 'approximation', 'even', 'when', 'the', 'corresponding', 'statistics', 'of', 'interest', 'do', 'not', 'lend', 'themselves', 'easily', 'to', 'steins', 'exchangeable', 'pairs', 'approach', 'to', 'illustrate', 'the', 'method', 'we', 'provide', 'the', 'examples', 'of', 'runs', 'on', 'the', 'line', 'as', 'well', 'as', 'doubleindexed', 'permutation', 'statistics']] | [-0.01205975535075839, 0.046852024249546514, -0.16118336575696382, 0.15248743942569623, -0.08988603475367332, -0.10284481760364299, 0.0939533176346364, 0.37434748032062154, -0.27373039349913597, -0.27214801350108736, 0.055046281639611484, -0.23554224994834996, -0.15981424424979018, 0.2144148416899531, -0.10312528819947435, 0.0482534205614839, 0.043120902156593595, 0.03876320757404844, -0.08525348535636668, -0.2627549752275028, 0.3098897612426521, 0.0192396925058125, 0.3229498800299153, -0.018317772910316905, 0.0865741341670112, 0.06404202073676193, -0.06340745227161522, 0.016020526761322554, -0.10349883319719172, 0.18289113244632396, 0.27857397825502583, 0.152834879796634, 0.31195847085313644, -0.3733754065342066, -0.18123254211755788, 0.15299193269186995, 0.17722432302856228, 0.11565104508971251, -0.006142361823571619, -0.342685569611537, 0.05819657839062374, -0.18813129587144387, -0.1417055015122836, -0.16195303322065893, -0.05940086734140428, 0.04660520500435335, -0.31928582690519897, 0.07028147020830103, 0.13384115581383657, 0.010847785135322228, 0.020775146111590426, -0.09730949017741694, 0.053846972077380775, 0.073255791679868, 0.03415369862554277, -0.03791264985211012, 0.08019016548159259, -0.039357407617655285, -0.12260000357722364, 0.31579505053928075, -0.06406147679791035, -0.26107053441086375, 0.17764720985120752, -0.15459058838385362, -0.15211019736555656, 0.08730243876712715, 0.2220269913796517, 0.13708446060716198, -0.18569273718085463, 0.07348569301127388, -0.07192007585133357, 0.06689845023267879, 0.048181962133839545, -0.020226774691808516, 0.19641216837505743, 0.1185434941151293, 0.08374587416637508, 0.16169708591272555, -0.1085026555711676, -0.08996434246258038, -0.3310667021177346, -0.17503692014370023, -0.19701478027216182, 0.005881423269939416, -0.10715707941775823, -0.22509218620636115, 0.361874541034922, 0.19592918769354228, 0.24178818313450348, 0.13046489827613142, 0.2626005587872209, 0.0822794583665843, 0.04141906496682545, 0.03744021407896426, 0.13306749964178335, 0.1737758898227362, 0.024666517586788027, -0.10371605207484852, 0.07508543975049312, 0.09550524926630825] |
711.1083 | The Faint and Extremely Red K-band Selected Galaxy Population in the
DEEP2/Palomar Fields | We present in this paper an analysis of the faint and red near-infrared
selected galaxy population found in near-infrared imaging from the Palomar
Observatory Wide-Field Infrared Survey. This survey covers 1.53 deg^2 to
5-sigma detection limits of K_vega = 20.5-21 and J_vega = 22.5, and overlaps
with the DEEP2 spectroscopic redshift survey. We discuss the details of this
NIR survey, including our J and K band counts. We show that the K-band galaxy
population has a redshift distribution that varies with K-magnitude, with most
K < 17 galaxies at z < 1.5 and a significant fraction (38.3+/-0.3%) of K > 19
systems at z > 1.5. We further investigate the stellar masses and morphological
properties of K-selected galaxies, particularly extremely red objects, as
defined by (R-K) > 5.3 and (I-K) > 4. One of our conclusions is that the ERO
selection is a good method for picking out galaxies at z > 1.2, and within our
magnitude limits, the most massive galaxies at these redshifts. The ERO limit
finds 75% of all M_* > 10^{11} M_0 galaxies at z ~ 1.5 down to K_vega = 19.7.
We further find that the morphological break-down of K < 19.7 EROs is dominated
by early-types (57+/-3%) and peculiars (34+/-3%). However, about a fourth of
the early-types are distorted ellipticals, and within CAS parameter space these
bridge the early-type and peculiar population, suggesting a morphological
evolutionary sequence. We also investigate the use of a (I-K) > 4 selection to
locate EROs, finding that it selects galaxies at slightly higher average
redshifts (<z> = 1.43+/-0.32) than the (R-K) > 5.3 limit with <z> =
1.28+/-0.23. Finally, by using the redshift distribution of K < 20 selected
galaxies, and the properties of our EROs, we are able to rule out all
monolithic collapse models for the formation of massive galaxies.
| astro-ph | we present in this paper an analysis of the faint and red nearinfrared selected galaxy population found in nearinfrared imaging from the palomar observatory widefield infrared survey this survey covers 153 deg2 to 5sigma detection limits of k_vega 20521 and j_vega 225 and overlaps with the deep2 spectroscopic redshift survey we discuss the details of this nir survey including our j and k band counts we show that the kband galaxy population has a redshift distribution that varies with kmagnitude with most k 17 galaxies at z 15 and a significant fraction 38303 of k 19 systems at z 15 we further investigate the stellar masses and morphological properties of kselected galaxies particularly extremely red objects as defined by rk 53 and ik 4 one of our conclusions is that the ero selection is a good method for picking out galaxies at z 12 and within our magnitude limits the most massive galaxies at these redshifts the ero limit finds 75 of all m_ 1011 m_0 galaxies at z 15 down to k_vega 197 we further find that the morphological breakdown of k 197 eros is dominated by earlytypes 573 and peculiars 343 however about a fourth of the earlytypes are distorted ellipticals and within cas parameter space these bridge the earlytype and peculiar population suggesting a morphological evolutionary sequence we also investigate the use of a ik 4 selection to locate eros finding that it selects galaxies at slightly higher average redshifts z 143032 than the rk 53 limit with z 128023 finally by using the redshift distribution of k 20 selected galaxies and the properties of our eros we are able to rule out all monolithic collapse models for the formation of massive galaxies | [['we', 'present', 'in', 'this', 'paper', 'an', 'analysis', 'of', 'the', 'faint', 'and', 'red', 'nearinfrared', 'selected', 'galaxy', 'population', 'found', 'in', 'nearinfrared', 'imaging', 'from', 'the', 'palomar', 'observatory', 'widefield', 'infrared', 'survey', 'this', 'survey', 'covers', '153', 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711.1084 | Microstructure and mechanical properties of constrained shape-memory
alloy nanograins and nanowires | We use the phase-field method to study the martensitic transformation at the
nanoscale. For nanosystems such as nanowires and nanograins embedded in a stiff
matrix, the geometric constraints and boundary conditions have an impact on
martensite formation, leading to new microstructures --such as dots aligned on
a square lattice with axes along <01>-- or preventing martensite formation
altogether. We also perform tension tests on the nanowires. The stress-strain
curves are very different from bulk results. Moreover, they are weakly affected
by microstructures -- the mechanical response of nanowires with different
microstructures may be similar, while nanowires with the same microstructure
may have a different mechanical behavior. We also observe that at the
transition temperature, or slightly below it, the narrowest wires behave
pseudoelastically whereas wider wires are in the memory-shape regime. Moreover
the yield stress does not change monotonically with width: it has a minimum
value at intermediate width.
| cond-mat.mtrl-sci | we use the phasefield method to study the martensitic transformation at the nanoscale for nanosystems such as nanowires and nanograins embedded in a stiff matrix the geometric constraints and boundary conditions have an impact on martensite formation leading to new microstructures such as dots aligned on a square lattice with axes along 01 or preventing martensite formation altogether we also perform tension tests on the nanowires the stressstrain curves are very different from bulk results moreover they are weakly affected by microstructures the mechanical response of nanowires with different microstructures may be similar while nanowires with the same microstructure may have a different mechanical behavior we also observe that at the transition temperature or slightly below it the narrowest wires behave pseudoelastically whereas wider wires are in the memoryshape regime moreover the yield stress does not change monotonically with width it has a minimum value at intermediate width | [['we', 'use', 'the', 'phasefield', 'method', 'to', 'study', 'the', 'martensitic', 'transformation', 'at', 'the', 'nanoscale', 'for', 'nanosystems', 'such', 'as', 'nanowires', 'and', 'nanograins', 'embedded', 'in', 'a', 'stiff', 'matrix', 'the', 'geometric', 'constraints', 'and', 'boundary', 'conditions', 'have', 'an', 'impact', 'on', 'martensite', 'formation', 'leading', 'to', 'new', 'microstructures', 'such', 'as', 'dots', 'aligned', 'on', 'a', 'square', 'lattice', 'with', 'axes', 'along', '01', 'or', 'preventing', 'martensite', 'formation', 'altogether', 'we', 'also', 'perform', 'tension', 'tests', 'on', 'the', 'nanowires', 'the', 'stressstrain', 'curves', 'are', 'very', 'different', 'from', 'bulk', 'results', 'moreover', 'they', 'are', 'weakly', 'affected', 'by', 'microstructures', 'the', 'mechanical', 'response', 'of', 'nanowires', 'with', 'different', 'microstructures', 'may', 'be', 'similar', 'while', 'nanowires', 'with', 'the', 'same', 'microstructure', 'may', 'have', 'a', 'different', 'mechanical', 'behavior', 'we', 'also', 'observe', 'that', 'at', 'the', 'transition', 'temperature', 'or', 'slightly', 'below', 'it', 'the', 'narrowest', 'wires', 'behave', 'pseudoelastically', 'whereas', 'wider', 'wires', 'are', 'in', 'the', 'memoryshape', 'regime', 'moreover', 'the', 'yield', 'stress', 'does', 'not', 'change', 'monotonically', 'with', 'width', 'it', 'has', 'a', 'minimum', 'value', 'at', 'intermediate', 'width']] | [-0.10083501874660589, 0.2149817686511422, -0.06570459709962038, -0.014127885792021677, -0.06035805030324024, -0.1573075129816385, 0.010302915973014722, 0.47233233031057686, -0.2648741649208616, -0.30892735566586665, 0.10608126571854858, -0.2827353489725557, -0.11734736983007305, 0.1813793124420543, -0.01443697824079084, 0.0402416739268356, 0.039033195657706625, -0.022534852528510844, -0.1255341749024348, -0.20924880475520272, 0.2740338917164617, 0.03422187380484713, 0.33272604752740226, 0.06200555179583878, 0.022715313572592856, -0.04808869157050264, 0.12369693018342942, 0.08068379294765118, -0.18932345430614875, 0.01589996655541791, 0.19966928228378705, -0.06344475783407688, 0.20552103208818104, -0.4708639227797928, -0.21973833653514516, 0.04846552546876236, 0.1417980796240082, 0.12371583957199568, -0.026986980300447713, -0.22389250074526015, 0.11242966044834521, -0.06777377377666073, -0.11281028999117752, -0.03999481940074275, -0.0282870577488809, 0.0351857283397431, -0.21079139564224608, 0.09550330747518038, 0.05745417721671601, 0.0618288888698061, -0.07110562613425292, -0.12620772391379084, -0.06166496673879558, 0.06870448996140685, 0.03485357378169333, -0.003350530897764719, 0.2242198697744218, -0.10888492059016805, -0.06524283984318784, 0.39140951253269635, -0.029328608059735764, -0.16062196615879257, 0.2224641424469803, -0.1533701963996202, -0.08810066727423811, 0.16766552660097558, 0.15048357986981425, 0.08621248834701063, -0.12136001692293849, 0.005438519771727542, 0.028322835664156415, 0.18335210254466902, 0.11173023175996767, 0.04188349701732091, 0.26413052852707275, 0.18638613652948238, 0.041051231531987656, 0.14636895599079713, -0.07198849681618126, -0.051882186365530714, -0.26001275271457963, -0.16059084243319724, -0.18561715912711743, 0.036366863413941124, -0.1302269869067384, -0.23027882132079605, 0.3394937709560745, 0.10001530077257385, 0.21351470642608322, 0.04580003518949276, 0.19237456024522345, 0.08527764400996728, 0.11849818721235003, 0.015874133523464305, 0.25954826805128217, 0.1360929245511963, 0.12390143029257808, -0.24215741172171365, 0.10514578455421206, -0.030717125690338035] |
711.1085 | Phase transitions and topology in 2+k XY mean-field models | The thermodynamics and topology of mean-field models with 2+k body
interaction terms (generalizing XY model) are derived. Focusing on two
particular cases (2+4 and 2+6 body interaction terms), a comparison between
thermodynamic (phase transition energy, thermodynamically forbidden energy
regions) and topological (singularity and curvature of saddle entropy)
properties is performed. We find that i) a topological change is present at the
phase transition energy; however, ii) only one topological change occurs, also
for those models exhibiting two phase transitions; iii) the order of a phase
transition is not completely signaled by the curvature of topological
quantities.
| cond-mat.stat-mech | the thermodynamics and topology of meanfield models with 2k body interaction terms generalizing xy model are derived focusing on two particular cases 24 and 26 body interaction terms a comparison between thermodynamic phase transition energy thermodynamically forbidden energy regions and topological singularity and curvature of saddle entropy properties is performed we find that i a topological change is present at the phase transition energy however ii only one topological change occurs also for those models exhibiting two phase transitions iii the order of a phase transition is not completely signaled by the curvature of topological quantities | [['the', 'thermodynamics', 'and', 'topology', 'of', 'meanfield', 'models', 'with', '2k', 'body', 'interaction', 'terms', 'generalizing', 'xy', 'model', 'are', 'derived', 'focusing', 'on', 'two', 'particular', 'cases', '24', 'and', '26', 'body', 'interaction', 'terms', 'a', 'comparison', 'between', 'thermodynamic', 'phase', 'transition', 'energy', 'thermodynamically', 'forbidden', 'energy', 'regions', 'and', 'topological', 'singularity', 'and', 'curvature', 'of', 'saddle', 'entropy', 'properties', 'is', 'performed', 'we', 'find', 'that', 'i', 'a', 'topological', 'change', 'is', 'present', 'at', 'the', 'phase', 'transition', 'energy', 'however', 'ii', 'only', 'one', 'topological', 'change', 'occurs', 'also', 'for', 'those', 'models', 'exhibiting', 'two', 'phase', 'transitions', 'iii', 'the', 'order', 'of', 'a', 'phase', 'transition', 'is', 'not', 'completely', 'signaled', 'by', 'the', 'curvature', 'of', 'topological', 'quantities']] | [-0.19448415574152023, 0.213619913100653, -0.04714052804532306, 0.06919675247506045, -0.013055175251793116, -0.17416307691504093, 0.07053670150101728, 0.32847309167846106, -0.22843774447392207, -0.28598680391830084, 0.07540287060449676, -0.3510384298084925, -0.15153268830181332, 0.08332932744087884, 0.03594270787349766, -0.00044830017335092026, -0.016156492999774247, 0.04648838142747991, -0.13985813098406652, -0.1526456917830122, 0.37092372638047283, -0.040834408854910485, 0.27679467885172926, 0.07302020843781065, 0.034248785421368666, -0.07139445603570493, 0.07429075291535507, 0.09310058906838019, -0.19497136941731696, 0.031508397233362, 0.21526477721128381, 0.01885164976071489, 0.14744295053727305, -0.3838894609749938, -0.2687114629370626, 0.13210984914864335, 0.09809847838672188, 0.08493734531415005, -0.0557213621189779, -0.27155955518052605, 0.017341660287077804, -0.15487548536232984, -0.08664970551035367, -0.09543853110517375, 0.022518268699059263, -0.021028534423142748, -0.20743433598060315, 0.13125019901084065, 0.08899305552282992, 0.0974657032105218, -0.08183391931136914, -0.05313762989923513, -0.10418254704078815, 0.11233333278505597, 0.020509618345386116, 0.030488627729937434, 0.12356493795232382, -0.12851795150587955, -0.10479587503747705, 0.38578687788685784, -0.016046887832393015, -0.13471938375732861, 0.19819478297965057, -0.15965084376512095, -0.12159949053602759, 0.19379660785004185, 0.06739434434469634, 0.11652942937992823, -0.10954291918703045, 0.09538992494102179, 0.09745014496729709, 0.1561216746243493, 0.030548762132336076, 0.04690208006347044, 0.23694970602324852, 0.12076953631427993, 0.03638022521408857, 0.1648628781355607, -0.08949867356811107, -0.1942065540739956, -0.3334004059045886, -0.14958083696546964, -0.19583046736079268, 0.02437393401502656, -0.10418958869255827, -0.1838400194537826, 0.4265212769775341, 0.09148861567761439, 0.20509318197340085, 0.02718045565416105, 0.24329157862909292, 0.12714084217441268, -0.009784487238600073, 0.05709043917886447, 0.30767106955803075, 0.1233417984112748, 0.10359986350037313, -0.20706364106202577, 0.06572797889869737, 0.13399258710220843] |
711.1086 | Large x Resummation in Q^2 Evolution | The standard analytic solution to the DGLAP equation in Mellin space is
improved by resumming the large x divergences. Explicit results are given to
next-to-leading order and next-to-leading logarithmic accuracy. Numerically,
the theoretical error is found to be reduced by the resummation for a large
range of x.
| hep-ph | the standard analytic solution to the dglap equation in mellin space is improved by resumming the large x divergences explicit results are given to nexttoleading order and nexttoleading logarithmic accuracy numerically the theoretical error is found to be reduced by the resummation for a large range of x | [['the', 'standard', 'analytic', 'solution', 'to', 'the', 'dglap', 'equation', 'in', 'mellin', 'space', 'is', 'improved', 'by', 'resumming', 'the', 'large', 'x', 'divergences', 'explicit', 'results', 'are', 'given', 'to', 'nexttoleading', 'order', 'and', 'nexttoleading', 'logarithmic', 'accuracy', 'numerically', 'the', 'theoretical', 'error', 'is', 'found', 'to', 'be', 'reduced', 'by', 'the', 'resummation', 'for', 'a', 'large', 'range', 'of', 'x']] | [-0.10020210279617459, 0.048019094518773876, -0.11915620018650468, 0.15242825912719127, -0.07348574752298494, -0.03661313190241344, 0.011527849732980636, 0.34055235345537466, -0.20158502172368267, -0.26787706996159005, 0.06703059255717865, -0.3349979494717748, -0.022322722293514136, 0.1662259198880444, -0.03069092994943882, 0.19331613006458306, 0.04633549466476931, -0.026375471342665453, -0.15574491245206445, -0.33181455498561263, 0.3065253319218755, 0.04061494990067634, 0.18018252769252285, 0.1187482177047059, 0.11172484459045033, -0.03662126064106511, -0.02903625788167119, -0.028169417628305382, -0.14530633590281164, 0.10520500829443336, 0.3157902944367379, -0.016063697248076398, 0.19668793358141556, -0.3469711734408823, -0.1509801572926032, 0.04447509269812144, 0.16369412857845114, 0.12093268491056126, 0.02675676012101273, -0.2974893239637216, 0.16154323822896308, -0.23080175061477348, -0.17903604569922513, -0.21008146655124924, -0.005388930216819669, -0.013943816845615705, -0.36183950564979267, 0.08878585207276046, -0.023372062481939793, -0.028478231863118708, 0.05915245791159881, -0.13507297518663108, -0.026391199072046827, 0.08280594798270613, 0.10639983701791304, 0.15950587579087974, 0.06437305787888666, -0.18018807414531088, -0.10547537651533882, 0.35697720025200397, -0.09742414607171668, -0.2195533040406493, 0.04938258938879395, -0.25086765047550824, -0.07144981798289034, 0.23578879733880362, 0.17047664717150232, 0.1479155179792239, -0.1799541080642181, 0.21854555494185965, 0.04746128537226468, 0.16163068974856287, 0.07087805080421579, -0.007576754733842487, 0.024109547104065616, 0.1397993576635296, -0.02506624095258303, 0.08462282251033078, 0.0019269811843211453, -0.13508563391224016, -0.43467537969506037, -0.09726874394497524, -0.14835006399274184, 0.04259578922453026, -0.22684960878268612, -0.1335265429224819, 0.3311807507125195, 0.1408475562930107, 0.2044773354039838, 0.12080002477159724, 0.3132906614725168, 0.24527534745478383, 0.06939049604504059, 0.07158198795514181, 0.2370857778005302, 0.11317433739410869, 0.03981518380654355, -0.25000489031663164, 0.013241388670091206, 0.1619768233698172] |
711.1087 | On function spaces on symmetric spaces | Let Y=G/H be a semisimple symmetric space. It is shown that the smooth
vectors for the regular representation of G on L^p(Y) vanish at infinity.
| math.RT | let ygh be a semisimple symmetric space it is shown that the smooth vectors for the regular representation of g on lpy vanish at infinity | [['let', 'ygh', 'be', 'a', 'semisimple', 'symmetric', 'space', 'it', 'is', 'shown', 'that', 'the', 'smooth', 'vectors', 'for', 'the', 'regular', 'representation', 'of', 'g', 'on', 'lpy', 'vanish', 'at', 'infinity']] | [-0.16385523671730576, 0.14462185092270374, -0.13586063188267872, -0.002193853283339801, -0.1412126882156978, -0.1756827257365027, -0.08575523016043007, 0.34696116818425554, -0.2913470791342358, -0.08265437015021841, 0.1233720846939832, -0.24544996298694363, -0.13739930409550047, 0.17509600108799836, -0.07822057969557743, -0.11549961660057306, 0.07207320238618802, 0.20819993340410292, -0.10131551634791928, -0.2870582789182663, 0.379691350273788, -0.07449316644730668, 0.2755671567283571, 0.008833428553771228, 0.13469093523114375, 0.0240721915421697, 0.051922983374121635, 0.010288806369014006, -0.08537795151308576, 0.046497779277463756, 0.34329814556986094, 0.0810041304018038, 0.2379524848268678, -0.3337861767504364, -0.18486877802448967, 0.250576483240972, 0.16517438609541082, -0.03627252109193554, 0.04188960244937334, -0.30601281494212645, 0.19050521603397405, -0.13439219429468116, -0.18517729892240217, -0.08925626380369067, 0.14894928457215428, -0.048607750019679465, -0.3143325870235761, -0.028501713182777166, 0.08481536037288606, 0.03604712849482894, -0.058925538847688586, -0.09818508503182481, -0.11578200906903173, 0.05975500779459253, -0.05182637069568349, 0.16755407792516053, 0.03518728710090121, -0.005359066417440772, -0.023785383851645747, 0.38128847380479175, -0.0752240209064136, -0.312063535520186, 0.14405217013942698, -0.2499878954840824, -0.0832003471441567, 0.14354684832505882, 0.1659192624501884, 0.1928622069147726, 0.03352629432144264, 0.25278310497136164, -0.13162144739180803, 0.038012107227890134, 0.09779746345399569, -0.05579012211334581, 0.22003172407858074, 0.052991385833593085, 0.13726235584666333, 0.0862355932816475, 0.055246904152833544, 0.050593523463855185, -0.388440116851901, -0.1122160399487863, -0.24748154038873812, 0.1509041429574912, -0.1496602141414769, -0.18553845511026643, 0.3504301843349822, 0.025951421237550676, 0.197756483956861, 0.1590545679209754, 0.1994862844585441, 0.12815739051438868, 0.10438255292441075, 0.12302738825868194, 0.08642416913062334, 0.19457548876137784, -0.046344397647771984, -0.15411005001321124, 0.00872935782535933, 0.15714052439822504] |
711.1088 | Modeling extended contacts to nanotube and graphene devices | Carrier injection into carbon nanotubes and graphene nanoribbons, contacted
by a metal coating over an arbitrary length, is studied by various means:
Minimal models allow for exact analytic solutions which can be transferred to
the original system with high precision. Microscopic ab initio calculations of
the electronic structure at the carbon-metal interface allow us to extract --
for Ti and Pd as contacting materials -- realistic parameters, which are then
used in large scale tight-binding models for transport calculations. The
results are shown to be robust against nonepitaxially grown electrodes and
general disorder at the interface, as well as various refinements of the model.
| cond-mat.mes-hall | carrier injection into carbon nanotubes and graphene nanoribbons contacted by a metal coating over an arbitrary length is studied by various means minimal models allow for exact analytic solutions which can be transferred to the original system with high precision microscopic ab initio calculations of the electronic structure at the carbonmetal interface allow us to extract for ti and pd as contacting materials realistic parameters which are then used in large scale tightbinding models for transport calculations the results are shown to be robust against nonepitaxially grown electrodes and general disorder at the interface as well as various refinements of the model | [['carrier', 'injection', 'into', 'carbon', 'nanotubes', 'and', 'graphene', 'nanoribbons', 'contacted', 'by', 'a', 'metal', 'coating', 'over', 'an', 'arbitrary', 'length', 'is', 'studied', 'by', 'various', 'means', 'minimal', 'models', 'allow', 'for', 'exact', 'analytic', 'solutions', 'which', 'can', 'be', 'transferred', 'to', 'the', 'original', 'system', 'with', 'high', 'precision', 'microscopic', 'ab', 'initio', 'calculations', 'of', 'the', 'electronic', 'structure', 'at', 'the', 'carbonmetal', 'interface', 'allow', 'us', 'to', 'extract', 'for', 'ti', 'and', 'pd', 'as', 'contacting', 'materials', 'realistic', 'parameters', 'which', 'are', 'then', 'used', 'in', 'large', 'scale', 'tightbinding', 'models', 'for', 'transport', 'calculations', 'the', 'results', 'are', 'shown', 'to', 'be', 'robust', 'against', 'nonepitaxially', 'grown', 'electrodes', 'and', 'general', 'disorder', 'at', 'the', 'interface', 'as', 'well', 'as', 'various', 'refinements', 'of', 'the', 'model']] | [-0.06233104086270104, 0.12241729877161273, -0.04222771572698332, 0.0441605470818698, 0.0025834291804545, -0.22765030280115212, 0.04928102885548136, 0.41509540739128054, -0.2854255148587693, -0.33299588379772876, 0.04483298516007011, -0.309064535885164, -0.10319334219698564, 0.2081163726576447, 0.041973404853724604, 0.09460537262390008, 0.0411043225759917, -0.09220748670666598, -0.08519501564563206, -0.188966794236849, 0.25614866839334516, 0.08465781975721959, 0.3025361544056104, 0.1081875338816167, 0.03243081246290614, 0.0070519239023917974, 0.08490879784826891, 0.07383976576130578, -0.1694276305376598, 0.10637436355786896, 0.27242162821234933, -0.08372482118003144, 0.18215773479856257, -0.5550630567134311, -0.24456091953146428, -0.04265945122604913, 0.13413859646085022, 0.19152196620978268, -0.04605501175092736, -0.2689633051505183, 0.12864284969331458, -0.1633236027636224, -0.10543596402437676, -0.12370008893200371, -0.009506950609035569, 0.03582778994436606, -0.2804371369847023, 0.015762059633518653, -0.03835170212464573, 0.04670031826887257, -0.09772509495073026, -0.1312117922225838, -0.09298142656628595, 0.12171739388238823, 0.02062124034302254, 0.010970034512073392, 0.20197758094250862, -0.08202748282323821, -0.07994210041626033, 0.3896068538018124, -0.05678072772081019, -0.1967761635476041, 0.19617001245738847, -0.10295188813331989, -0.044374337927023375, 0.13067163496928308, 0.12791913231871654, 0.11616647022310644, -0.18305343089885734, 0.06589689700331741, 0.0037997683583952412, 0.16301255215346666, 0.05382817446964212, 0.055863410481689774, 0.22781522617223535, 0.19389498738357613, 0.01784523688994422, 0.09590913153410253, -0.08290324004201016, -0.03807626352968192, -0.20008760561594868, -0.18698349311408394, -0.20449835308689143, 0.07535775760096489, -0.10168354263794863, -0.20413017502638953, 0.419903125134435, 0.15522292096831716, 0.16226960773035737, -0.005007785567460526, 0.24638076899296577, 0.09555641327187013, 0.09695283007879492, 0.001420250425281206, 0.19165313275908996, 0.15665773263703664, 0.043288864715181584, -0.19993000785534334, 0.1156046540052215, 0.006208524972403256] |
711.1089 | Periodic variations in 6.7-GHz methanol masers | An intensive monitoring program of 54 6.7-GHz methanol maser sources was
carried out at the Hartebeesthoek Radio Astronomy Observatory from January 1999
to April 2003. The monitoring program was subsequently continued on 19 sources
of interest. Analysis of the resulting time-series stretching over eight years
shows that six of the sources are periodic, with periods ranging from 133 days
to 504 days. The waveforms in individual sources range from sinusoidal
fluctuations to sharp flares and there can be other long term trends in the
time-series. The amplitudes of the variations can also change from cycle to
cycle. The time-series of the periodic masers will be presented, and possible
causes of the variability discussed.
| astro-ph | an intensive monitoring program of 54 67ghz methanol maser sources was carried out at the hartebeesthoek radio astronomy observatory from january 1999 to april 2003 the monitoring program was subsequently continued on 19 sources of interest analysis of the resulting timeseries stretching over eight years shows that six of the sources are periodic with periods ranging from 133 days to 504 days the waveforms in individual sources range from sinusoidal fluctuations to sharp flares and there can be other long term trends in the timeseries the amplitudes of the variations can also change from cycle to cycle the timeseries of the periodic masers will be presented and possible causes of the variability discussed | [['an', 'intensive', 'monitoring', 'program', 'of', '54', '67ghz', 'methanol', 'maser', 'sources', 'was', 'carried', 'out', 'at', 'the', 'hartebeesthoek', 'radio', 'astronomy', 'observatory', 'from', 'january', '1999', 'to', 'april', '2003', 'the', 'monitoring', 'program', 'was', 'subsequently', 'continued', 'on', '19', 'sources', 'of', 'interest', 'analysis', 'of', 'the', 'resulting', 'timeseries', 'stretching', 'over', 'eight', 'years', 'shows', 'that', 'six', 'of', 'the', 'sources', 'are', 'periodic', 'with', 'periods', 'ranging', 'from', '133', 'days', 'to', '504', 'days', 'the', 'waveforms', 'in', 'individual', 'sources', 'range', 'from', 'sinusoidal', 'fluctuations', 'to', 'sharp', 'flares', 'and', 'there', 'can', 'be', 'other', 'long', 'term', 'trends', 'in', 'the', 'timeseries', 'the', 'amplitudes', 'of', 'the', 'variations', 'can', 'also', 'change', 'from', 'cycle', 'to', 'cycle', 'the', 'timeseries', 'of', 'the', 'periodic', 'masers', 'will', 'be', 'presented', 'and', 'possible', 'causes', 'of', 'the', 'variability', 'discussed']] | [-0.12042817845322455, 0.11087274213181912, -0.06745604142769182, 0.02394617659418918, -0.061300870443208026, -0.062333461301055104, 0.09303378972685401, 0.41797481474375964, -0.21802309139804765, -0.36077816672293483, 0.173148005679497, -0.3280640431420684, -0.09784566247588501, 0.2705174298396548, -0.06493192913620609, 0.007343635560565554, 0.12357602006368405, -0.08477746359839113, -0.03022114607140801, -0.24783502868994806, 0.17318679702229203, 0.09968306822496244, 0.2045425264972501, -0.051764806580062196, 0.063321366193251, -0.06794888014179877, -0.14523481836427102, -0.06310931985901125, -0.06791731968463606, 0.05352164333504913, 0.28028181630425747, 0.13241853636269152, 0.2034970703369946, -0.38194109736818127, -0.22683069497280944, 0.08120039869429527, 0.08791714398482962, 0.032552652831593185, 0.08205861053676798, -0.30967389315828286, 0.012984444335745894, -0.15798426642437027, -0.13818479389100607, 0.04762190702243552, 0.1733524185498204, 0.07792236947710007, -0.202259123509758, 0.09422352454966074, -0.04639510616487041, 0.18103331357520897, -0.11140597489687194, -0.12408012283792867, -0.03671705074179753, 0.15872090049417673, 0.09522912525458559, 0.08138310182860237, 0.10817016179846452, -0.02841615462593273, -0.14057914436737126, 0.3603695845066578, -0.09106285806819467, 0.03811361980665706, 0.21502182909814987, -0.1844742614775896, -0.21299886346209498, 0.2514862787819146, 0.1830830714640628, 0.0971305097898353, -0.2065453968727879, -0.0337070348246056, 0.014134110471818893, 0.25197630065732296, 0.11167446723768273, 0.015341643095160711, 0.300171337234664, 0.08528100602139216, 0.03749721610209847, 0.14008141786068168, -0.27348671526961293, -0.06865765039852317, -0.2722022122748822, -0.032569611024737884, -0.09772429090875111, 0.09168668155274065, -0.056283610567720445, -0.08255417799305138, 0.4548279962098572, 0.09084796793841288, 0.08847557647829563, -0.01749745290108289, 0.1807717791948039, 0.1005220335158231, 0.09102415686485613, 0.0844350440625464, 0.3169527848959958, 0.10847498809885794, 0.20094294515562006, -0.17731555605686344, 0.030197700345476645, -0.0404069021579076] |
711.109 | TDDFT with Skyrme Forces: Effect of Time-Odd Densities on Electric Giant
Resonances | Time-odd densities and their effect on electric giant resonances are
investigated within the self-consistent separable random-phase-approximation
(SRPA) model for various Skyrme forces (SkT6, SkO, SkM*, SIII, SGII, SLy4,
SLy6, SkI3). Time-odd densities restore Galilean invariance of the Skyrme
functional, violated by the effective-mass and spin-orbital terms. In even-even
nuclei these densities do not contribute to the ground state but can affect the
dynamics. As a particular case, we explore the role of the current density in
description of isovector E1 and isoscalar E2 giant resonances in a chain of Nd
spherical and deformed isotopes with A=134-158. Relation of the current to the
effective masses and relevant parameters of the Skyrme functional is analyzed.
It is shown that current contribution to E1 and E2 resonances is generally
essential and fully determined by the values and signs of the isovector and
isoscalar effective-mass parameters of the force. The contribution is the same
for all the isotope chain, i.e. for both standard and exotic nuclei.
| nucl-th | timeodd densities and their effect on electric giant resonances are investigated within the selfconsistent separable randomphaseapproximation srpa model for various skyrme forces skt6 sko skm siii sgii sly4 sly6 ski3 timeodd densities restore galilean invariance of the skyrme functional violated by the effectivemass and spinorbital terms in eveneven nuclei these densities do not contribute to the ground state but can affect the dynamics as a particular case we explore the role of the current density in description of isovector e1 and isoscalar e2 giant resonances in a chain of nd spherical and deformed isotopes with a134158 relation of the current to the effective masses and relevant parameters of the skyrme functional is analyzed it is shown that current contribution to e1 and e2 resonances is generally essential and fully determined by the values and signs of the isovector and isoscalar effectivemass parameters of the force the contribution is the same for all the isotope chain ie for both standard and exotic nuclei | [['timeodd', 'densities', 'and', 'their', 'effect', 'on', 'electric', 'giant', 'resonances', 'are', 'investigated', 'within', 'the', 'selfconsistent', 'separable', 'randomphaseapproximation', 'srpa', 'model', 'for', 'various', 'skyrme', 'forces', 'skt6', 'sko', 'skm', 'siii', 'sgii', 'sly4', 'sly6', 'ski3', 'timeodd', 'densities', 'restore', 'galilean', 'invariance', 'of', 'the', 'skyrme', 'functional', 'violated', 'by', 'the', 'effectivemass', 'and', 'spinorbital', 'terms', 'in', 'eveneven', 'nuclei', 'these', 'densities', 'do', 'not', 'contribute', 'to', 'the', 'ground', 'state', 'but', 'can', 'affect', 'the', 'dynamics', 'as', 'a', 'particular', 'case', 'we', 'explore', 'the', 'role', 'of', 'the', 'current', 'density', 'in', 'description', 'of', 'isovector', 'e1', 'and', 'isoscalar', 'e2', 'giant', 'resonances', 'in', 'a', 'chain', 'of', 'nd', 'spherical', 'and', 'deformed', 'isotopes', 'with', 'a134158', 'relation', 'of', 'the', 'current', 'to', 'the', 'effective', 'masses', 'and', 'relevant', 'parameters', 'of', 'the', 'skyrme', 'functional', 'is', 'analyzed', 'it', 'is', 'shown', 'that', 'current', 'contribution', 'to', 'e1', 'and', 'e2', 'resonances', 'is', 'generally', 'essential', 'and', 'fully', 'determined', 'by', 'the', 'values', 'and', 'signs', 'of', 'the', 'isovector', 'and', 'isoscalar', 'effectivemass', 'parameters', 'of', 'the', 'force', 'the', 'contribution', 'is', 'the', 'same', 'for', 'all', 'the', 'isotope', 'chain', 'ie', 'for', 'both', 'standard', 'and', 'exotic', 'nuclei']] | [-0.09857076914150915, 0.1839110594335365, -0.03859021457386498, 0.15219953964805658, -0.02789180750397514, -0.08644388808134179, -0.0021969450837267296, 0.35907374188211394, -0.12361920167408559, -0.28711184727820505, -0.06962204928096291, -0.2893476547985714, -0.08658041631490547, 0.08480371598382798, 0.07341024124169121, 0.00028905385798956877, -0.01807441015189849, 0.07120403623272034, -0.07668444723532945, -0.13675639696234132, 0.30343645925327023, 0.04899335155402374, 0.26204457948481813, 0.11051056832248657, 0.01921372112864339, 0.0077898488958476125, 0.06457601972676305, -0.014145897261752105, -0.14870597619545445, 0.1124900048482955, 0.23403526385609777, -0.014661874087752994, 0.15376153869693773, -0.45291010447725744, -0.18342421092280992, 0.09342031612390687, 0.15774086404841983, 0.1559664996207825, 0.002953196175089858, -0.3241772967266347, 0.023967846938096542, -0.24989324550705483, -0.1689199397560232, -0.18402543160428078, 0.04866793368486051, 0.09437237350235445, -0.264275982316514, 0.10614077403750241, 0.020613181047569613, 0.04146958613386435, -0.16634694340071923, -0.27387841696046894, -0.06910211844615616, 0.08101339233310326, 0.11120255325518849, 0.028779960775412387, 0.19766139119042095, -0.13426781551455444, -0.01021513113208254, 0.4002248341946498, -0.036715810528453095, -0.17943156118738257, 0.10339295821877555, -0.1332154748910714, -0.13571512572733418, 0.12731970220315053, 0.10258823547581708, 0.09695780945085683, -0.17128633916007807, 0.13708354515581744, 0.035404712501884386, 0.14188332614772345, 0.02284148671307821, 0.04337463516710176, 0.16257899370252715, 0.11333155196293124, -0.0036972923600548727, 0.015966569235467392, -0.13808406535854204, -0.13107855502597016, -0.31463150011942437, -0.05343223596280961, -0.1598930518433556, -0.0007248044617565187, -0.03805881282455658, -0.14068453765679614, 0.400442712801445, 0.056215842715432444, 0.14310199107254584, -0.013735257559680084, 0.2728844832235612, 0.11100811164346032, 0.10846811372035484, 0.02980679669200518, 0.35076693779216234, 0.23097227455944008, 0.011399358476263395, -0.3308342639472544, 0.022889690690598687, 0.06990956520424542] |
711.1091 | Convergence to equilibrium distribution. The Klein-Gordon equation
coupled to a particle | We consider the Hamiltonian system consisting of a Klein-Gordon vector field
and a particle in $\R^3$. The initial date of the system is a random function
with a finite mean density of energy which also satisfies a Rosenblatt- or
Ibragimov-type mixing condition. Moreover, initial correlation functions are
translation-invariant. We study the distribution $\mu_t$ of the solution at
time $t\in\R$. The main result is the convergence of $\mu_t$ to a Gaussian
measure as $t\to\infty$, where $\mu_\infty$ is translation-invariant.
| math-ph math.MP | we consider the hamiltonian system consisting of a kleingordon vector field and a particle in r3 the initial date of the system is a random function with a finite mean density of energy which also satisfies a rosenblatt or ibragimovtype mixing condition moreover initial correlation functions are translationinvariant we study the distribution mu_t of the solution at time tinr the main result is the convergence of mu_t to a gaussian measure as ttoinfty where mu_infty is translationinvariant | [['we', 'consider', 'the', 'hamiltonian', 'system', 'consisting', 'of', 'a', 'kleingordon', 'vector', 'field', 'and', 'a', 'particle', 'in', 'r3', 'the', 'initial', 'date', 'of', 'the', 'system', 'is', 'a', 'random', 'function', 'with', 'a', 'finite', 'mean', 'density', 'of', 'energy', 'which', 'also', 'satisfies', 'a', 'rosenblatt', 'or', 'ibragimovtype', 'mixing', 'condition', 'moreover', 'initial', 'correlation', 'functions', 'are', 'translationinvariant', 'we', 'study', 'the', 'distribution', 'mu_t', 'of', 'the', 'solution', 'at', 'time', 'tinr', 'the', 'main', 'result', 'is', 'the', 'convergence', 'of', 'mu_t', 'to', 'a', 'gaussian', 'measure', 'as', 'ttoinfty', 'where', 'mu_infty', 'is', 'translationinvariant']] | [-0.17330036454490924, 0.166965154318237, -0.14502108771059857, 0.08016692228020954, 0.011386319670188976, -0.11428901218613119, -0.006637352727059471, 0.327704659549789, -0.2743573522954983, -0.18645971992641294, 0.10203106559684354, -0.299948046106453, -0.08847843211965244, 0.11356824879552924, 0.007112427908731134, 0.11746510564300575, 0.049673763667478374, 0.11220150690305193, -0.08661227152486772, -0.19707339114546285, 0.3613085404381548, -0.012728080839702957, 0.24145781595603025, 0.02705089115739898, 0.16457688115463642, 0.014436646386074196, 0.049389973172525824, -0.016059909898199533, -0.17346525081972541, 0.005351495959697978, 0.12269371919530003, 0.09175179150004528, 0.3270061500493045, -0.3049162471617915, -0.18371119616112033, 0.17136785414952196, 0.11547863410516201, 0.05243805040280629, -0.042296799959761926, -0.2731780783414203, 0.07884541383368503, -0.1336912448566995, -0.20643377321539447, -0.026293328313745166, 0.055241659518000426, 0.1277028285794107, -0.38284815463090416, 0.134530440220643, 0.09576023147000294, 0.010324771908160887, -0.11122321903607563, -0.07681970993412267, -0.03491396233929615, 0.07045931126738555, 0.03269572627859337, 0.10939416073348471, 0.09550086535684961, -0.08600883796124865, -0.042298380578837454, 0.36358654813988034, -0.13673084573881505, -0.2757965672369066, 0.1431566968768541, -0.1981279482256229, -0.10910771671363986, 0.08429713137325291, 0.17120491774556668, 0.1284316571086253, -0.1576236074814867, 0.16749933317815272, -0.08615346205126691, 0.124593729003161, 0.03743759596009592, 0.04291936473332738, 0.11872841999253356, 0.15215509946727634, 0.16573224014504567, 0.16938558778431462, -0.06772585212571644, -0.13739447553004874, -0.3597039553202002, -0.20278759053173034, -0.2629189870050667, 0.14113444213963752, -0.09199969756618405, -0.2270425118775548, 0.40414293470645424, 0.1014451943215375, 0.19437077251802148, 0.11462785527998533, 0.2500032310521132, 0.20546418056964236, -0.02838467863406741, 0.07347835873033066, 0.13614428398738565, 0.16723331903401567, 0.0865121252687746, -0.1705805779508266, 0.03373737473310413, 0.09975668635084539] |
711.1092 | Hidden Structure in Tilings, Conjectured Asymptotic Expansion for
lambda_d in Multidimensional Dimer Problem | The dimer problem arose in a thermodynamic study of diatomic molecules, and
was abstracted into one of the most basic and natural problems in both
statistical mechanics and combinatoric mathematics. Given a rectangular lattice
of volume V in d dimensions, the dimer problem loosely speaking is to count the
number of different ways dimers (dominoes) may be layed down on the lattice to
completely cover it. It is known that the number of such coverings is roughly
exp(lambda_d V) for some number lambda_d. The first terms in the expansion of
lambda_d have been known for about thirty years lambda_d ~ (1/2)ln(2d)-1/2
Herein we present a mathematical argument for an asymptotic expansion lambda_d
~ (1/2)ln(2d) -1/2 +(1/8)/d + (5/96)/d^2 +... with the first few terms given
explicitly.
| math-ph cond-mat.stat-mech math.MP | the dimer problem arose in a thermodynamic study of diatomic molecules and was abstracted into one of the most basic and natural problems in both statistical mechanics and combinatoric mathematics given a rectangular lattice of volume v in d dimensions the dimer problem loosely speaking is to count the number of different ways dimers dominoes may be layed down on the lattice to completely cover it it is known that the number of such coverings is roughly explambda_d v for some number lambda_d the first terms in the expansion of lambda_d have been known for about thirty years lambda_d 12ln2d12 herein we present a mathematical argument for an asymptotic expansion lambda_d 12ln2d 12 18d 596d2 with the first few terms given explicitly | [['the', 'dimer', 'problem', 'arose', 'in', 'a', 'thermodynamic', 'study', 'of', 'diatomic', 'molecules', 'and', 'was', 'abstracted', 'into', 'one', 'of', 'the', 'most', 'basic', 'and', 'natural', 'problems', 'in', 'both', 'statistical', 'mechanics', 'and', 'combinatoric', 'mathematics', 'given', 'a', 'rectangular', 'lattice', 'of', 'volume', 'v', 'in', 'd', 'dimensions', 'the', 'dimer', 'problem', 'loosely', 'speaking', 'is', 'to', 'count', 'the', 'number', 'of', 'different', 'ways', 'dimers', 'dominoes', 'may', 'be', 'layed', 'down', 'on', 'the', 'lattice', 'to', 'completely', 'cover', 'it', 'it', 'is', 'known', 'that', 'the', 'number', 'of', 'such', 'coverings', 'is', 'roughly', 'explambda_d', 'v', 'for', 'some', 'number', 'lambda_d', 'the', 'first', 'terms', 'in', 'the', 'expansion', 'of', 'lambda_d', 'have', 'been', 'known', 'for', 'about', 'thirty', 'years', 'lambda_d', '12ln2d12', 'herein', 'we', 'present', 'a', 'mathematical', 'argument', 'for', 'an', 'asymptotic', 'expansion', 'lambda_d', '12ln2d', '12', '18d', '596d2', 'with', 'the', 'first', 'few', 'terms', 'given', 'explicitly']] | [-0.11231357945223987, 0.12376690289448114, -0.04142758828761466, 0.04869921603220341, -0.049813333267377594, -0.10516376407438163, 0.03170763931466045, 0.32701803585198724, -0.2702549982064214, -0.3103432203248396, 0.0988843084502397, -0.27509840863157, -0.12428979575042061, 0.16465109867690983, -0.040969268927918905, 0.03857137711612129, 0.014277819021194542, 0.08911082174597403, -0.026494975839110122, -0.31705074367444896, 0.25742477009080794, -0.0076895524289900975, 0.19169358312452245, 0.06934671865192131, 0.07384204345960486, -0.006509353674087926, 0.02872154353802108, 0.026185632308439937, -0.17787010142002777, 0.1306314921268988, 0.24155152810074515, 0.11535236560068708, 0.27006596999274474, -0.40419746592830297, -0.17453067682553242, 0.085665486810208, 0.17746019552035605, 0.11644594941235945, 0.038804175654797164, -0.19643860318800593, 0.046319310213005074, -0.1556899755901136, -0.13195707195170098, -0.03460325852482406, 0.09127812207897462, 0.01798681205067531, -0.20591312596353434, 0.062403293247571434, 0.061731300336482414, 0.07736250095590318, -0.01459199335954894, -0.19215717105494845, 0.031151817614307343, 0.1052685399279314, 0.043336340638619485, 0.027277137281104796, 0.04603371784777649, -0.1074577673985544, -0.0993288768207757, 0.4200367387542028, -0.0003255120058291418, -0.18112797609735595, 0.1697616599089766, -0.14500520897287308, -0.16529649462140464, 0.14252356421281348, 0.09712162467067019, 0.11295268462055315, -0.1349902500090647, 0.09342276793756617, -0.11556582382122466, 0.17123809031021417, 0.1376631665911715, 0.01505571691394819, 0.18223652259399326, 0.16224553923801346, 0.0555597579015924, 0.16394096165273922, -0.029203018747759445, -0.12282081142115264, -0.3051904632504714, -0.15065404787359726, -0.2094330798076876, 0.06672603266424168, -0.10189228414883936, -0.17732368842935411, 0.3677158258002946, 0.07775644590719051, 0.19312786295915307, 0.04837908546077246, 0.2152476676313554, 0.11531886235826601, 0.04150555570909785, 0.035118157776088406, 0.18030205165096203, 0.17018720399099008, 0.05709092261001342, -0.17081793671339687, 0.019436573219027812, 0.11347649689029776] |
711.1093 | CO investigation of z=0.4-1.5 galaxies | We report on the results of an IRAM-30m search for CO emission lines in three
galaxies at intermediate redshifts. The idea was to investigate the molecular
content of galaxies bright in the infrared at z=0.4-1.5, a redshift desert for
molecular line studies, poorly investigated as of yet. We integrated 8-10h per
source and did not succeed in detecting any of the sources. From our upper
limits, we are able to constrain the molecular gas content in these systems to
less than 4 to 8 x 10^9 Mo, assuming a CO-to-H_2 conversion factor (\alpha=0.8
Mo/(K km s^-1 pc^2)). We stress the current difficulty of selecting sources
with a detectable molecular content, a problem that will be faced by the ALMA
First Science projects.
| astro-ph | we report on the results of an iram30m search for co emission lines in three galaxies at intermediate redshifts the idea was to investigate the molecular content of galaxies bright in the infrared at z0415 a redshift desert for molecular line studies poorly investigated as of yet we integrated 810h per source and did not succeed in detecting any of the sources from our upper limits we are able to constrain the molecular gas content in these systems to less than 4 to 8 x 109 mo assuming a cotoh_2 conversion factor alpha08 mok km s1 pc2 we stress the current difficulty of selecting sources with a detectable molecular content a problem that will be faced by the alma first science projects | [['we', 'report', 'on', 'the', 'results', 'of', 'an', 'iram30m', 'search', 'for', 'co', 'emission', 'lines', 'in', 'three', 'galaxies', 'at', 'intermediate', 'redshifts', 'the', 'idea', 'was', 'to', 'investigate', 'the', 'molecular', 'content', 'of', 'galaxies', 'bright', 'in', 'the', 'infrared', 'at', 'z0415', 'a', 'redshift', 'desert', 'for', 'molecular', 'line', 'studies', 'poorly', 'investigated', 'as', 'of', 'yet', 'we', 'integrated', '810h', 'per', 'source', 'and', 'did', 'not', 'succeed', 'in', 'detecting', 'any', 'of', 'the', 'sources', 'from', 'our', 'upper', 'limits', 'we', 'are', 'able', 'to', 'constrain', 'the', 'molecular', 'gas', 'content', 'in', 'these', 'systems', 'to', 'less', 'than', '4', 'to', '8', 'x', '109', 'mo', 'assuming', 'a', 'cotoh_2', 'conversion', 'factor', 'alpha08', 'mok', 'km', 's1', 'pc2', 'we', 'stress', 'the', 'current', 'difficulty', 'of', 'selecting', 'sources', 'with', 'a', 'detectable', 'molecular', 'content', 'a', 'problem', 'that', 'will', 'be', 'faced', 'by', 'the', 'alma', 'first', 'science', 'projects']] | [-0.08999086594412802, 0.07673116562376284, -0.002737145800589739, 0.07699549618797998, -0.040957428569284575, -0.04499915000439311, 0.09124320009335254, 0.44796506946440784, -0.14519944156830508, -0.3571066655140991, 0.08851423247736724, -0.3046226144302636, -0.024635327886790036, 0.18886726501514203, 0.008240746927913278, -0.027902408972537766, 0.00032084815417571613, -0.09514773286646232, -0.06518773149376406, -0.2590532710620513, 0.28758565061725677, 0.1028152004388782, 0.20323728486255277, 0.031161659721207494, 0.08480583668376009, -0.14595090868727614, -0.06724640988977626, -0.061927789813489655, -0.15261094483266788, 0.10388056755667398, 0.29626092083441713, 0.14844502041038746, 0.23098552275817685, -0.3719358465789507, -0.19943189133579534, 0.08340415087295697, 0.19119571011591083, 0.0783878160873428, -0.037484210920714155, -0.2668109491642099, 0.09117745478749081, -0.1466101867845282, -0.1612490993963244, 0.06652213121609142, 0.03406303224619478, 0.008306111586959257, -0.19690237106600156, 0.09781301215601464, -0.009794174853595905, 0.0968813738996687, -0.07532672681457674, -0.1368961531901732, -0.03647343718175762, 0.06727220671503649, -0.03813073253647114, 0.0804758731770562, 0.20657896608269463, -0.1670998960772219, -0.05517800678499043, 0.4148530558081499, -0.1014211677894006, -0.0753876225615386, 0.2235250754087853, -0.18166789475944825, -0.23018642262322828, 0.17168324331287294, 0.16103959267493337, 0.11278885177453049, -0.16270436173848188, -0.00851220730158578, -0.02018585002515465, 0.26842682304947324, 0.05196138008808096, 0.0331973983925612, 0.2845840673389224, 0.12307198537358394, 0.044139932480175045, 0.08919449047680246, -0.2137660131615121, -0.0009471341385506093, -0.22899240245266508, -0.15439874857499186, -0.1541935881328148, 0.12042253860866671, -0.06394926243992813, -0.028533908712173192, 0.3012496581301093, 0.15414313939400018, 0.2269314409272435, 0.03688773485676696, 0.29891986851580443, 0.06701928050024435, 0.09145593933062628, 0.10348541780064503, 0.27012975776257614, 0.10308360121756172, 0.09119787302721913, -0.18077088411858616, 0.04145196642105778, -0.02654362765606493] |
711.1094 | Search for anisotropic effects of hcp solid helium on optical lines of
cesium impurities | The anisotropic effect of a hcp 4He solid matrix on cesium atoms has been
proposed as a tool to reveal the parity violating anapole moment of its
nucleus. It should also result in splitting the D2 optical excitation line in a
way depending on the light polarization. An experimental investigation has been
set up using oriented hcp helium crystals in which cesium metal grains are
embedded. Atoms are created by laser sputtering from this grains. Optical
absorption spectra of the D2 line have been recorded in the temperature range
of 1.0 to 1.4 K at liquid/solid coexistence pressure by monitoring the
fluorescence on the D2 line at 950 nm. No significant effect of the light
polarization has been found, suggesting a statistically isotropic disordered
solid environment for the cesium atoms.
| quant-ph cond-mat.other physics.atom-ph | the anisotropic effect of a hcp 4he solid matrix on cesium atoms has been proposed as a tool to reveal the parity violating anapole moment of its nucleus it should also result in splitting the d2 optical excitation line in a way depending on the light polarization an experimental investigation has been set up using oriented hcp helium crystals in which cesium metal grains are embedded atoms are created by laser sputtering from this grains optical absorption spectra of the d2 line have been recorded in the temperature range of 10 to 14 k at liquidsolid coexistence pressure by monitoring the fluorescence on the d2 line at 950 nm no significant effect of the light polarization has been found suggesting a statistically isotropic disordered solid environment for the cesium atoms | [['the', 'anisotropic', 'effect', 'of', 'a', 'hcp', '4he', 'solid', 'matrix', 'on', 'cesium', 'atoms', 'has', 'been', 'proposed', 'as', 'a', 'tool', 'to', 'reveal', 'the', 'parity', 'violating', 'anapole', 'moment', 'of', 'its', 'nucleus', 'it', 'should', 'also', 'result', 'in', 'splitting', 'the', 'd2', 'optical', 'excitation', 'line', 'in', 'a', 'way', 'depending', 'on', 'the', 'light', 'polarization', 'an', 'experimental', 'investigation', 'has', 'been', 'set', 'up', 'using', 'oriented', 'hcp', 'helium', 'crystals', 'in', 'which', 'cesium', 'metal', 'grains', 'are', 'embedded', 'atoms', 'are', 'created', 'by', 'laser', 'sputtering', 'from', 'this', 'grains', 'optical', 'absorption', 'spectra', 'of', 'the', 'd2', 'line', 'have', 'been', 'recorded', 'in', 'the', 'temperature', 'range', 'of', '10', 'to', '14', 'k', 'at', 'liquidsolid', 'coexistence', 'pressure', 'by', 'monitoring', 'the', 'fluorescence', 'on', 'the', 'd2', 'line', 'at', '950', 'nm', 'no', 'significant', 'effect', 'of', 'the', 'light', 'polarization', 'has', 'been', 'found', 'suggesting', 'a', 'statistically', 'isotropic', 'disordered', 'solid', 'environment', 'for', 'the', 'cesium', 'atoms']] | [-0.06274887079802843, 0.21526426927358933, -0.04635943113288914, -0.05238556207533782, 0.02952500697798454, -0.1441904363867182, 0.05600407656076221, 0.48283813025515815, -0.18323392869474797, -0.3003977708661785, 0.029487947295778073, -0.34319016074833386, -0.010557241963509184, 0.15312908383157964, 0.07707649983752232, 0.04102219485346443, -0.01585540074783449, -0.03608019303422994, -0.04819694965039022, -0.19407693641097956, 0.24418081532662306, 0.05049173011122128, 0.3021173643396021, 0.11534163239417607, 0.045246974246289866, -0.068381662433967, 0.06228367608183852, -0.002662441349373414, -0.09470127939533156, 0.0752528432631292, 0.23964007293196538, -0.020030402664381722, 0.16674403277978014, -0.43904035246142975, -0.254885395265256, 0.10675535488228959, 0.13659877726906697, 0.16689522193404488, -0.10469322822397002, -0.28053015964822126, -0.0020937469877445928, -0.1060125826123672, -0.14742036859075036, -0.02626229577088872, 0.07616495332107522, -0.02523185001292194, -0.22240289895293805, 0.01072928515562895, 0.03681556045865783, 0.1678340268249695, -0.08018947306107013, -0.16851271697893166, -0.04990800289759556, 0.017813845936997006, -0.027862744642278323, 0.041072103291606675, 0.21757855212244276, -0.03128357044636057, -0.05293547750826782, 0.42960019948211714, -0.093376756978866, -0.04863787989418667, 0.16181491624850494, -0.18818788302954859, -0.09412116047729237, 0.25591959276129134, 0.16187759889647937, 0.09704585282866342, -0.13040563181185952, 0.053064800664567605, -0.0682165337081712, 0.23252105702860998, 0.14248327198080146, 0.031533705214790715, 0.25209326268746873, 0.17182554236899775, 0.008031697533666515, 0.1563583395228936, -0.15966451041931579, -0.022604038698885304, -0.19469189801468298, -0.16315366786259872, -0.1951026309424868, 0.07164026238740637, -0.06589038320817053, -0.1267873321659863, 0.3141560125236328, 0.043587840692355086, 0.1542758660373063, -0.09509865033279101, 0.28109806915028734, 0.06217139576250562, 0.05545481439823141, -0.002913139993324876, 0.3257682321234964, 0.1743752819736703, 0.14544998200189393, -0.276578718651301, 0.11381835831830708, -0.0032648895079126724] |
711.1095 | Aging and quenched localization for one-dimensional random walks in
random environment in the sub-ballistic regime | We consider transient one-dimensional random walks in random environment with
zero asymptotic speed. An aging phenomenon involving the generalized Arcsine
law is proved using the localization of the walk at the foot of "valleys" of
height $\log t$. In the quenched setting, we also sharply estimate the
distribution of the walk at time $t$.
| math.PR math-ph math.MP | we consider transient onedimensional random walks in random environment with zero asymptotic speed an aging phenomenon involving the generalized arcsine law is proved using the localization of the walk at the foot of valleys of height log t in the quenched setting we also sharply estimate the distribution of the walk at time t | [['we', 'consider', 'transient', 'onedimensional', 'random', 'walks', 'in', 'random', 'environment', 'with', 'zero', 'asymptotic', 'speed', 'an', 'aging', 'phenomenon', 'involving', 'the', 'generalized', 'arcsine', 'law', 'is', 'proved', 'using', 'the', 'localization', 'of', 'the', 'walk', 'at', 'the', 'foot', 'of', 'valleys', 'of', 'height', 'log', 't', 'in', 'the', 'quenched', 'setting', 'we', 'also', 'sharply', 'estimate', 'the', 'distribution', 'of', 'the', 'walk', 'at', 'time', 't']] | [-0.13137482424025182, 0.23839655976674598, -0.13287025498640206, 0.034196506849386625, 0.0417525312276902, -0.16000022547733453, 0.09748713182354415, 0.3794171849472655, -0.29867676799013104, -0.20306239888089261, 0.07985389158905794, -0.2822522689864315, -0.1408007486553052, 0.14112738899334712, -0.06865306809130642, 0.07195072386551786, -0.04089734730034791, 0.08506173461123749, 0.003701983227748079, -0.26258382715578016, 0.24874517904525553, 0.03954596994757325, 0.2706840385001636, 0.014785583148262015, 0.10690584563201776, 0.06863006865778179, -0.007759584303669355, -0.009784729323453374, -0.14520470489299409, -0.024630092757029667, 0.12115375253941035, -0.018273563641640875, 0.2899163472293704, -0.3686269761097652, -0.18950194592967076, 0.14057710394263268, 0.16089543096583198, 0.0702299103140831, 0.0008730780057333134, -0.29553290858381875, 0.07100447338436627, -0.0994681669054208, -0.24672272318060062, 0.06755655521044025, 0.0521165589388046, 0.06062261749886804, -0.2523101010808238, 0.14598669571730877, 0.08669877674913516, 0.07673285090950904, 0.002280700425789864, -0.06454524525475723, 0.026281646608064573, 0.12070225881136677, 0.05014377510977081, 0.007098381907713634, 0.15743003442400583, -0.11463370615685428, -0.13719521054601366, 0.33467471066655385, -0.11200690647173259, -0.138743675521659, 0.1720575604725767, -0.2533765687538242, -0.14582962556569665, 0.11374357240964417, 0.17412890020716953, 0.14578712072195937, -0.13290356634253706, 0.12482216119490287, -0.049508405970064576, 0.05080162372851865, 0.08907779090589395, -0.011396924033761024, 0.1379096962649513, 0.15197635897331768, 0.11951547386814598, 0.19439322704932205, -0.1126775218743003, -0.14792946881304184, -0.3091712223702214, -0.13778272262532953, -0.2623007955133087, 0.12215397953642188, -0.20053160587256705, -0.21175836916599008, 0.3641467060617827, 0.1498891972867703, 0.24718890014897893, 0.18872225881312732, 0.2014122863507105, 0.2089400719506321, -0.036344830636624935, 0.12353961362020562, 0.08814221179043805, 0.14991404293794874, 0.1397244549675465, -0.21494092768989503, 0.11423392945693599, 0.11057552732354789] |
711.1096 | Piezo-ferroelectrics: Pressure-induced phase transitions in
Pb(Zr1-xTix)O3 (PZT) | Piezoelectric PZT solid solutions were studied as a function of pressure and
temperature. Moderate pressure is found to induce phase transitions to
monoclinic phases (Cm,Cc) for Ti-rich PZT, which are the same ferroelectric
phases responsible for the high piezoelectric properties of the MPB. The
following transformation sequence P4mm -> Cm -> Cc -> F1 -> F-1 was identified
upon increasing pressure. Compression behaviour is dominated by: (1) a rotation
and a reduction of the spontaneouspolarization and (2) octahedral tilting
leading to unit cell doubling. Future studies as a function of pressure,
temperature and electric field on single crystals of heterovalent relaxor
ferroelectric isotypes of PZT are proposed in order to better understand these
potentially technologically-important piezoferroelectric materials.
| cond-mat.mtrl-sci | piezoelectric pzt solid solutions were studied as a function of pressure and temperature moderate pressure is found to induce phase transitions to monoclinic phases cmcc for tirich pzt which are the same ferroelectric phases responsible for the high piezoelectric properties of the mpb the following transformation sequence p4mm cm cc f1 f1 was identified upon increasing pressure compression behaviour is dominated by 1 a rotation and a reduction of the spontaneouspolarization and 2 octahedral tilting leading to unit cell doubling future studies as a function of pressure temperature and electric field on single crystals of heterovalent relaxor ferroelectric isotypes of pzt are proposed in order to better understand these potentially technologicallyimportant piezoferroelectric materials | [['piezoelectric', 'pzt', 'solid', 'solutions', 'were', 'studied', 'as', 'a', 'function', 'of', 'pressure', 'and', 'temperature', 'moderate', 'pressure', 'is', 'found', 'to', 'induce', 'phase', 'transitions', 'to', 'monoclinic', 'phases', 'cmcc', 'for', 'tirich', 'pzt', 'which', 'are', 'the', 'same', 'ferroelectric', 'phases', 'responsible', 'for', 'the', 'high', 'piezoelectric', 'properties', 'of', 'the', 'mpb', 'the', 'following', 'transformation', 'sequence', 'p4mm', 'cm', 'cc', 'f1', 'f1', 'was', 'identified', 'upon', 'increasing', 'pressure', 'compression', 'behaviour', 'is', 'dominated', 'by', '1', 'a', 'rotation', 'and', 'a', 'reduction', 'of', 'the', 'spontaneouspolarization', 'and', '2', 'octahedral', 'tilting', 'leading', 'to', 'unit', 'cell', 'doubling', 'future', 'studies', 'as', 'a', 'function', 'of', 'pressure', 'temperature', 'and', 'electric', 'field', 'on', 'single', 'crystals', 'of', 'heterovalent', 'relaxor', 'ferroelectric', 'isotypes', 'of', 'pzt', 'are', 'proposed', 'in', 'order', 'to', 'better', 'understand', 'these', 'potentially', 'technologicallyimportant', 'piezoferroelectric', 'materials']] | [-0.1694810702759135, 0.22533872403909225, -0.023926536728804175, -0.06375894419269988, -0.06373481813667191, -0.1331877755504605, 0.07006796600133483, 0.4279124035273452, -0.27670886198075506, -0.24983414320216454, 0.080236017925304, -0.2635204222993002, -0.12554523914314067, 0.1642266111784019, -0.0063561524121879456, 0.024356083797609753, -0.11134370879756773, -0.030703894819158153, -0.12174691041713362, -0.20726509523989112, 0.20825721777405018, 0.035155229869577614, 0.3370891868573118, 0.01849861640653831, 0.06777983465911569, -0.09459373082646781, 0.12781391384684154, 0.04268334905809916, -0.14048030024770908, 0.022715093274307145, 0.2592376942771512, -0.05437259087842461, 0.17766596706634438, -0.395668218331831, -0.21673284217648142, 0.02182600450458693, 0.07415093041050273, 0.06564535930866024, -0.07583933640669964, -0.22582258130969093, 0.11265755473449407, -0.09467783491368414, -0.1257726810704749, -0.10275311258764148, 0.0030439517162908036, 0.06330424632042277, -0.27837454369039955, 0.0863810003387911, 0.056007153962881445, 0.12064714653014734, -0.197667775520434, -0.17779755238695322, -0.09075167321239237, 0.05790627927326404, 0.07015235737587015, 0.14935519537460562, 0.191587737106995, -0.07868203683546535, -0.07732809421413385, 0.3990964443833978, -0.014846734141486252, -0.05542578334869767, 0.16754797602340848, -0.2111646692346685, -0.06477915518707386, 0.20746824737042524, 0.127657956278412, 0.07507154570319816, -0.12353950828892758, 0.0057440296230787365, 0.08392626527898214, 0.22772781463625194, 0.1491047855978412, 0.010594668563220415, 0.19009310252930936, 0.1999849144889562, 0.00516444480734634, 0.18761880260258745, -0.07002652353011407, 0.003503721438113365, -0.20548208576400537, -0.210675778498806, -0.13942079091453002, 0.03642250707376694, -0.13790550860649747, -0.199931602748866, 0.3501363209058606, 0.049649709229449834, 0.13495612631946266, -0.07322353200026292, 0.21287532892447333, 0.045673661510804084, 0.1194339992881224, -0.04638481165727114, 0.27334415135687, 0.17035786719438997, 0.14852190091115264, -0.28137265535088274, 0.11352125987796499, 0.04236568022007542] |
711.1097 | Multipolar analysis of spinning binaries | We present a preliminary study of the multipolar structure of gravitational
radiation from spinning black hole binary mergers. We consider three different
spinning binary configurations: (1) one "hang-up" run, where the black holes
have equal masses and large spins initially aligned with the orbital angular
momentum; (2) seven "spin-flip" runs, where the holes have a mass ratio q=4,
the spins are anti-aligned with the orbital angular momentum, and the initial
Kerr parameters of the holes j_1=j_2=j_i are fine-tuned to produce a
Schwarzschild remnant after merger; (3) three "super-kick" runs where the mass
ratio q=M_1/M_2=1, 2, 4 and the spins of the two holes are initially located on
the orbital plane, pointing in opposite directions. For all of these
simulations we compute the multipolar energy distribution and the Kerr
parameter of the final hole. For the hang-up run, we show that including
leading-order spin-orbit and spin-spin terms in a multipolar decomposition of
the post-Newtonian waveforms improves the agreement with the numerical
simulation.
| gr-qc | we present a preliminary study of the multipolar structure of gravitational radiation from spinning black hole binary mergers we consider three different spinning binary configurations 1 one hangup run where the black holes have equal masses and large spins initially aligned with the orbital angular momentum 2 seven spinflip runs where the holes have a mass ratio q4 the spins are antialigned with the orbital angular momentum and the initial kerr parameters of the holes j_1j_2j_i are finetuned to produce a schwarzschild remnant after merger 3 three superkick runs where the mass ratio qm_1m_21 2 4 and the spins of the two holes are initially located on the orbital plane pointing in opposite directions for all of these simulations we compute the multipolar energy distribution and the kerr parameter of the final hole for the hangup run we show that including leadingorder spinorbit and spinspin terms in a multipolar decomposition of the postnewtonian waveforms improves the agreement with the numerical simulation | [['we', 'present', 'a', 'preliminary', 'study', 'of', 'the', 'multipolar', 'structure', 'of', 'gravitational', 'radiation', 'from', 'spinning', 'black', 'hole', 'binary', 'mergers', 'we', 'consider', 'three', 'different', 'spinning', 'binary', 'configurations', '1', 'one', 'hangup', 'run', 'where', 'the', 'black', 'holes', 'have', 'equal', 'masses', 'and', 'large', 'spins', 'initially', 'aligned', 'with', 'the', 'orbital', 'angular', 'momentum', '2', 'seven', 'spinflip', 'runs', 'where', 'the', 'holes', 'have', 'a', 'mass', 'ratio', 'q4', 'the', 'spins', 'are', 'antialigned', 'with', 'the', 'orbital', 'angular', 'momentum', 'and', 'the', 'initial', 'kerr', 'parameters', 'of', 'the', 'holes', 'j_1j_2j_i', 'are', 'finetuned', 'to', 'produce', 'a', 'schwarzschild', 'remnant', 'after', 'merger', '3', 'three', 'superkick', 'runs', 'where', 'the', 'mass', 'ratio', 'qm_1m_21', '2', '4', 'and', 'the', 'spins', 'of', 'the', 'two', 'holes', 'are', 'initially', 'located', 'on', 'the', 'orbital', 'plane', 'pointing', 'in', 'opposite', 'directions', 'for', 'all', 'of', 'these', 'simulations', 'we', 'compute', 'the', 'multipolar', 'energy', 'distribution', 'and', 'the', 'kerr', 'parameter', 'of', 'the', 'final', 'hole', 'for', 'the', 'hangup', 'run', 'we', 'show', 'that', 'including', 'leadingorder', 'spinorbit', 'and', 'spinspin', 'terms', 'in', 'a', 'multipolar', 'decomposition', 'of', 'the', 'postnewtonian', 'waveforms', 'improves', 'the', 'agreement', 'with', 'the', 'numerical', 'simulation']] | [-0.20201683990985342, 0.16565094106250777, 0.005637567617737179, 0.08375934781448084, -0.03401439143754776, -0.08716958952751362, -0.04820187791812954, 0.3396373719515853, -0.13232514201282705, -0.3280191374064054, 0.05365425288975942, -0.3230352099492865, -0.015284439144691206, 0.1885464368929864, 0.07344836807288464, 0.004748099653413461, 0.07824303325208537, -0.006694119073649716, -0.14661065279799015, -0.23717200938896305, 0.3615103499966991, 0.0574408437790929, 0.13911655838323067, -0.06039130182222188, 0.09672125114666873, 0.04047981735301327, 0.02520750702575505, -0.015671363156054566, -0.15667914293008842, 0.022487732303568965, 0.17667015066733524, 0.06667055141579055, 0.16119753300071746, -0.4059720027770074, -0.1227071077662444, 0.030757199327092408, 0.17002187473348007, 0.16632323784156228, -0.07979726970397849, -0.2232624471594679, 0.050980702542286926, -0.27532894416776654, -0.14794126839476562, -0.02942399596268276, 0.07539983134740179, 0.04010783261678082, -0.2608160295771909, 0.1143314409078503, 0.09474110515179031, -0.05653212140987879, -0.10682179886297141, -0.1405180224492771, -0.09042272363268074, 0.09968613205351662, 0.11793878672383842, 0.07129617157954511, 0.14550574654537551, -0.05607078501181501, -0.14130809950003834, 0.36570623346879705, -0.014091464280847859, -0.19504104289314095, 0.1681933530208028, -0.2842739379760493, -0.0955220669033533, 0.13926693836355922, 0.19243293323513097, 0.188182720952556, -0.1008258344046918, 0.06301244720047831, 0.023417217381673416, 0.1866930908693364, 0.1187265716293979, 0.04120169898436321, 0.37783662386754024, 0.10249520090273903, -0.028332626116139896, 0.12306153994352328, -0.18788002800700143, -0.09464695784644042, -0.23595100787684978, -0.09616913701665336, -0.1877561183265592, 0.07688058505227215, -0.19894858590228726, -0.10401085625569564, 0.3715178198034658, 0.11608839769841833, 0.20819149576361823, 0.024125968849977607, 0.2844285717833115, 0.04737450790817779, 0.02306877726501545, 0.12277081067404423, 0.3734204784940281, 0.11205408978715257, 0.08952192768583414, -0.27883585161857494, -0.0473769661260596, 0.02799815562851698] |
711.1098 | A Cosmological Sector in Loop Quantum Gravity | We use the method of embedding a subsystem (i.e. its observable algebra) into
a larger quantum system to extract a cosmological sector from full Loop Quantum
Gravity. The application of this method provides a setting for a systematic
study of the interplay between diffeomorphism invariance and symmetry
reduction. The non-triviality of this relation is shown by extracting a
cosmological system that has configurations variables that are very similar to
the ones of a super-selection sector of standard Loop Quantum Cosmology. The
full operator algebra however turns out to be different from standard Loop
Quantum Cosmology. The homogeneous isotropic sector of pure gravity turns out
to be quantum mechanics on a circle. The dynamics of our system seems
pathological at first sight, and we give both mathematical and physical reasons
for this behavior and we explain a strategy to cure these pathologies.
| gr-qc | we use the method of embedding a subsystem ie its observable algebra into a larger quantum system to extract a cosmological sector from full loop quantum gravity the application of this method provides a setting for a systematic study of the interplay between diffeomorphism invariance and symmetry reduction the nontriviality of this relation is shown by extracting a cosmological system that has configurations variables that are very similar to the ones of a superselection sector of standard loop quantum cosmology the full operator algebra however turns out to be different from standard loop quantum cosmology the homogeneous isotropic sector of pure gravity turns out to be quantum mechanics on a circle the dynamics of our system seems pathological at first sight and we give both mathematical and physical reasons for this behavior and we explain a strategy to cure these pathologies | [['we', 'use', 'the', 'method', 'of', 'embedding', 'a', 'subsystem', 'ie', 'its', 'observable', 'algebra', 'into', 'a', 'larger', 'quantum', 'system', 'to', 'extract', 'a', 'cosmological', 'sector', 'from', 'full', 'loop', 'quantum', 'gravity', 'the', 'application', 'of', 'this', 'method', 'provides', 'a', 'setting', 'for', 'a', 'systematic', 'study', 'of', 'the', 'interplay', 'between', 'diffeomorphism', 'invariance', 'and', 'symmetry', 'reduction', 'the', 'nontriviality', 'of', 'this', 'relation', 'is', 'shown', 'by', 'extracting', 'a', 'cosmological', 'system', 'that', 'has', 'configurations', 'variables', 'that', 'are', 'very', 'similar', 'to', 'the', 'ones', 'of', 'a', 'superselection', 'sector', 'of', 'standard', 'loop', 'quantum', 'cosmology', 'the', 'full', 'operator', 'algebra', 'however', 'turns', 'out', 'to', 'be', 'different', 'from', 'standard', 'loop', 'quantum', 'cosmology', 'the', 'homogeneous', 'isotropic', 'sector', 'of', 'pure', 'gravity', 'turns', 'out', 'to', 'be', 'quantum', 'mechanics', 'on', 'a', 'circle', 'the', 'dynamics', 'of', 'our', 'system', 'seems', 'pathological', 'at', 'first', 'sight', 'and', 'we', 'give', 'both', 'mathematical', 'and', 'physical', 'reasons', 'for', 'this', 'behavior', 'and', 'we', 'explain', 'a', 'strategy', 'to', 'cure', 'these', 'pathologies']] | [-0.12931024726849308, 0.1038715428517304, -0.1625483895615668, 0.10828940146140331, -0.091241653004648, -0.16654772121221462, 0.029394126455927042, 0.29839543521351425, -0.2680469922298658, -0.2586078410637928, 0.10408092680525907, -0.24879711988903846, -0.15304410814287814, 0.17675371267642917, -0.051952002470130564, 0.03002458421723151, 0.045894735492765903, 0.02796181855254298, -0.08652952870070035, -0.2143437056637085, 0.35100627252799027, 0.060302069456091956, 0.26093735898752424, 0.020361258169464398, 0.13192345233013233, -0.04877640961682596, -0.005995743769280454, 0.04628848131244064, -0.09862317945133212, 0.09471442402961354, 0.2185562276661211, 0.11482909241202452, 0.2220543464579692, -0.3897233031861854, -0.23201268885271453, 0.11361255062783653, 0.1201760434142664, 0.16908733625665096, -0.010662119755528022, -0.2955952618825943, 0.05885932160911302, -0.18648758572229046, -0.13543873744627052, -0.10532950633370601, -0.006820693493206451, -0.1282098821458466, -0.21707355173251836, 0.06601446902656809, 0.04033509373387441, 0.04863229541253325, -0.016074553324431445, -0.05093582475587646, 0.009358584902295512, 0.1402883905659806, 0.04803475484430315, 0.024668639603381354, 0.1459768112023949, -0.13046609372699777, -0.12635278561423327, 0.4396597430810121, -0.02954443925430219, -0.21405221424098556, 0.16278904329358718, -0.15382239448091556, -0.16678198531653124, 0.07238923206740448, 0.1136264643493168, 0.06833147980115485, -0.1508660424461073, 0.13785976530647182, -0.023635047705883674, 0.15487728142410728, 0.028359265099708916, 0.02949404433462108, 0.26986777194088707, 0.11732390439732278, 0.06767310780730654, 0.13917360210903518, -0.022931877531917066, -0.17073535091567335, -0.37775041740255577, -0.182204086478826, -0.11455294443459534, 0.11709795812894558, -0.10244820945927582, -0.1702632071408658, 0.39082119588786407, 0.1614300402290855, 0.1562998790082568, 0.03780047577006597, 0.2672037074230083, 0.09005062199273668, 0.08617659994889817, 0.01985762115065933, 0.25126268571995675, 0.161816819949102, 0.08076795020821036, -0.24431498883232633, -0.024815677151625568, 0.07438453771041852] |
711.1099 | Approximating Perpetuities | We propose and analyze an algorithm to approximate distribution functions and
densities of perpetuities. Our algorithm refines an earlier approach based on
iterating discretized versions of the fixed point equation that defines the
perpetuity. We significantly reduce the complexity of the earlier algorithm.
Also one particular perpetuity arising in the analysis of the selection
algorithm Quickselect is studied in more detail. Our approach works well for
distribution functions. For densities we have weaker error bounds although
computer experiments indicate that densities can also be approximated well.
| math.PR | we propose and analyze an algorithm to approximate distribution functions and densities of perpetuities our algorithm refines an earlier approach based on iterating discretized versions of the fixed point equation that defines the perpetuity we significantly reduce the complexity of the earlier algorithm also one particular perpetuity arising in the analysis of the selection algorithm quickselect is studied in more detail our approach works well for distribution functions for densities we have weaker error bounds although computer experiments indicate that densities can also be approximated well | [['we', 'propose', 'and', 'analyze', 'an', 'algorithm', 'to', 'approximate', 'distribution', 'functions', 'and', 'densities', 'of', 'perpetuities', 'our', 'algorithm', 'refines', 'an', 'earlier', 'approach', 'based', 'on', 'iterating', 'discretized', 'versions', 'of', 'the', 'fixed', 'point', 'equation', 'that', 'defines', 'the', 'perpetuity', 'we', 'significantly', 'reduce', 'the', 'complexity', 'of', 'the', 'earlier', 'algorithm', 'also', 'one', 'particular', 'perpetuity', 'arising', 'in', 'the', 'analysis', 'of', 'the', 'selection', 'algorithm', 'quickselect', 'is', 'studied', 'in', 'more', 'detail', 'our', 'approach', 'works', 'well', 'for', 'distribution', 'functions', 'for', 'densities', 'we', 'have', 'weaker', 'error', 'bounds', 'although', 'computer', 'experiments', 'indicate', 'that', 'densities', 'can', 'also', 'be', 'approximated', 'well']] | [-0.05167641239321986, 0.033909413793332725, -0.15338126289506637, 0.10683818085276153, -0.026785324027133715, -0.11100382741194131, 0.05560448021779573, 0.3962833631004012, -0.22876529217979244, -0.3093604145701541, 0.09476392090504686, -0.21813188927508023, -0.20398434942458257, 0.21516087480149296, -0.07644681000085764, 0.07445734741469455, 0.048859142140636955, -0.010310496604286654, -0.09825738573035356, -0.29288917870888875, 0.29815405745838963, 0.07544387116226865, 0.28608864013019, 0.022715336302035424, 0.07933470337424255, 0.012370841155305158, -0.053461989355381836, 0.02554913210617595, -0.1454110920361885, 0.10945454091483424, 0.1984802554686402, 0.16794303035211944, 0.2706372550297644, -0.39434175764015594, -0.2028432127337383, 0.10966504381449763, 0.18789896227860672, 0.12384879252830044, -0.026270467218933464, -0.277987556748612, 0.09561473833462007, -0.15927787715884542, -0.12651716452091932, -0.08929011063260395, -0.026472663478438505, 0.07861840889550918, -0.301855961792171, 0.09439274088444383, 0.06875962029525273, 0.0034185937324235608, -0.05775658146824774, -0.19819999467798097, 0.03620635264358202, 0.09051057498165688, 0.032661125643265454, 0.03393413759984596, 0.11172002163542391, -0.08552980519896157, -0.13899128787696016, 0.31904592617349914, -0.06861392908332312, -0.23250589225181315, 0.14735311607635299, -0.09445498481955986, -0.1906942438475008, 0.12171515590662874, 0.17590698990212797, 0.16885323617282474, -0.10563056892173928, 0.0903098208133976, -0.07759110119497013, 0.13942409232719044, 0.04381646932546743, 0.0014495226056423299, 0.062073268093775176, 0.15274241346957942, 0.11387697596720225, 0.16380509171976038, -0.05424198728368813, -0.14703113253656125, -0.2841026787970995, -0.12230940336404844, -0.20808505760722382, -0.024593883387603644, -0.1060406756475649, -0.14370816555496868, 0.35964055100001047, 0.20916379738577404, 0.21428623348257916, 0.12977226993047394, 0.3109933313762033, 0.20956436959690913, 0.025434183698624026, 0.126805942944186, 0.16622610777064206, 0.09290493082872398, 0.047405316310306624, -0.18082146379598524, 0.09070818187928824, 0.10936583139998622] |
711.11 | The square gradient model in a two-phase mixture II. Non-equilibrium
properties of a 2D-isotropic interface | In earlier work \cite{bedeaux/vdW/I, bedeaux/vdW/II, bedeaux/vdW/III} a
systematic extension of the van der Waals square gradient model to
non-equilibrium one-component systems was given. In this work the focus was on
heat and mass transfer through the liquid-vapor interface as caused by a
temperature difference or an over or under pressure. It was established that
the surface as described using Gibbs excess densities was in local equilibrium.
Heat and mass transfer coefficients were evaluated. In our first paper
\cite{glav/gradient/eq/I} we discussed the equilibrium properties of a
multi-component system following the same procedure. In particular, we derived
an explicit expression for the pressure tensor and discussed the validity of
the Gibbs relation in the interfacial region. In this paper we will give an
extension of this approach to multi-component non-equilibrium systems in the
systematic context of non-equilibrium thermodynamics. The two-dimensional
isotropy of the interface is discussed. Furthermore we give numerically
obtained profiles of the concentration, the mole fraction and the temperature,
which illustrate the solution for some special cases.
| cond-mat.soft cond-mat.stat-mech | in earlier work citebedeauxvdwi bedeauxvdwii bedeauxvdwiii a systematic extension of the van der waals square gradient model to nonequilibrium onecomponent systems was given in this work the focus was on heat and mass transfer through the liquidvapor interface as caused by a temperature difference or an over or under pressure it was established that the surface as described using gibbs excess densities was in local equilibrium heat and mass transfer coefficients were evaluated in our first paper citeglavgradienteqi we discussed the equilibrium properties of a multicomponent system following the same procedure in particular we derived an explicit expression for the pressure tensor and discussed the validity of the gibbs relation in the interfacial region in this paper we will give an extension of this approach to multicomponent nonequilibrium systems in the systematic context of nonequilibrium thermodynamics the twodimensional isotropy of the interface is discussed furthermore we give numerically obtained profiles of the concentration the mole fraction and the temperature which illustrate the solution for some special cases | [['in', 'earlier', 'work', 'citebedeauxvdwi', 'bedeauxvdwii', 'bedeauxvdwiii', 'a', 'systematic', 'extension', 'of', 'the', 'van', 'der', 'waals', 'square', 'gradient', 'model', 'to', 'nonequilibrium', 'onecomponent', 'systems', 'was', 'given', 'in', 'this', 'work', 'the', 'focus', 'was', 'on', 'heat', 'and', 'mass', 'transfer', 'through', 'the', 'liquidvapor', 'interface', 'as', 'caused', 'by', 'a', 'temperature', 'difference', 'or', 'an', 'over', 'or', 'under', 'pressure', 'it', 'was', 'established', 'that', 'the', 'surface', 'as', 'described', 'using', 'gibbs', 'excess', 'densities', 'was', 'in', 'local', 'equilibrium', 'heat', 'and', 'mass', 'transfer', 'coefficients', 'were', 'evaluated', 'in', 'our', 'first', 'paper', 'citeglavgradienteqi', 'we', 'discussed', 'the', 'equilibrium', 'properties', 'of', 'a', 'multicomponent', 'system', 'following', 'the', 'same', 'procedure', 'in', 'particular', 'we', 'derived', 'an', 'explicit', 'expression', 'for', 'the', 'pressure', 'tensor', 'and', 'discussed', 'the', 'validity', 'of', 'the', 'gibbs', 'relation', 'in', 'the', 'interfacial', 'region', 'in', 'this', 'paper', 'we', 'will', 'give', 'an', 'extension', 'of', 'this', 'approach', 'to', 'multicomponent', 'nonequilibrium', 'systems', 'in', 'the', 'systematic', 'context', 'of', 'nonequilibrium', 'thermodynamics', 'the', 'twodimensional', 'isotropy', 'of', 'the', 'interface', 'is', 'discussed', 'furthermore', 'we', 'give', 'numerically', 'obtained', 'profiles', 'of', 'the', 'concentration', 'the', 'mole', 'fraction', 'and', 'the', 'temperature', 'which', 'illustrate', 'the', 'solution', 'for', 'some', 'special', 'cases']] | [-0.10407015841891361, 0.09778749283952738, -0.09476131697305323, 0.043229707935253624, 0.008383336419845285, -0.0766523072033252, 0.0379657013458914, 0.34056658381196253, -0.2477874664441208, -0.27289506536479924, 0.06423069201009862, -0.2556190646919165, -0.15013341703080785, 0.19504271835757225, -0.027572002486315802, 0.06381163617276067, -0.01207403936051975, 0.005966051771631179, -0.09210804434338916, -0.23250757866579055, 0.334515642609013, 0.09151930237625314, 0.2791043727721539, 0.11528908423872299, 0.07495073602746236, -0.008358237729265005, 0.01260254935767113, 0.06518922601527193, -0.21341900849320097, 0.07921341125013455, 0.2201462596057817, 0.027392943706820532, 0.22534911834172036, -0.40135404805258557, -0.24727494246183546, 0.0663223246832384, 0.10511487980510331, 0.1329065616024041, -0.09029644654786637, -0.2327092079205747, 0.02568735013447382, -0.2127417377167684, -0.14818572001303174, -0.05790398150191077, -0.0013769286359014688, 0.04382850363724894, -0.22073928379893668, 0.15118496623204483, 0.08809473896627686, 0.07846459107004974, -0.12590070085691438, -0.12431870956770916, -0.025194829762656173, 0.09222104923479671, 0.02287400877346039, -0.01390057367821184, 0.14519753696488366, -0.11210048145134618, -0.035367173731235636, 0.3700134608997432, -0.09010321637072766, -0.18350468063012818, 0.19538339829226625, -0.11209143084285358, -0.12089941423797718, 0.09120449543704902, 0.1337085418914519, 0.11175417582978683, -0.22367404953810882, 0.08739006283348948, -0.031088231905632042, 0.1499674531296924, 0.07456416247606826, -0.06381185182821622, 0.1920528346301268, 0.14503081299313145, 0.035922349804149586, 0.20918788508929176, -0.0755607168182325, -0.12897498107463853, -0.30888684825297513, -0.21451151194450863, -0.19991494070715699, 0.03776823269329005, -0.04870785544505, -0.17113254505832412, 0.3726067275631647, 0.15575252497065928, 0.1750189942894132, 0.021702152099088975, 0.26454978576358523, 0.1569208832546223, -0.005914151222885021, 0.052508386023388316, 0.25262871057889996, 0.16153898487935997, 0.13942320430737012, -0.253606109080002, 0.058676761320786426, 0.09531145744122839] |
711.1101 | Magnetic properties of bi-phase micro- and nanotubes | The magnetic configurations of bi-phase micro- and nanotubes consisting of a
ferromagnetic internal tube, an intermediate non-magnetic spacer, and an
external magnetic shell are investigated as a function of their geometry. Based
on a continuum approach we obtained analytical expressions for the energy which
lead us to obtain phase diagrams giving the relative stability of
characteristic internal magnetic configurations of the bi-phase tubes.
| cond-mat.mtrl-sci cond-mat.soft | the magnetic configurations of biphase micro and nanotubes consisting of a ferromagnetic internal tube an intermediate nonmagnetic spacer and an external magnetic shell are investigated as a function of their geometry based on a continuum approach we obtained analytical expressions for the energy which lead us to obtain phase diagrams giving the relative stability of characteristic internal magnetic configurations of the biphase tubes | [['the', 'magnetic', 'configurations', 'of', 'biphase', 'micro', 'and', 'nanotubes', 'consisting', 'of', 'a', 'ferromagnetic', 'internal', 'tube', 'an', 'intermediate', 'nonmagnetic', 'spacer', 'and', 'an', 'external', 'magnetic', 'shell', 'are', 'investigated', 'as', 'a', 'function', 'of', 'their', 'geometry', 'based', 'on', 'a', 'continuum', 'approach', 'we', 'obtained', 'analytical', 'expressions', 'for', 'the', 'energy', 'which', 'lead', 'us', 'to', 'obtain', 'phase', 'diagrams', 'giving', 'the', 'relative', 'stability', 'of', 'characteristic', 'internal', 'magnetic', 'configurations', 'of', 'the', 'biphase', 'tubes']] | [-0.18484883968319213, 0.16440069557598141, -0.047838992616605194, 0.046129419342688625, -0.03252304603330909, -0.07859779957179276, 0.06747080931173903, 0.4058581156035264, -0.2015294178078572, -0.34660367966289557, 0.030644769373808115, -0.20476810376913773, -0.09275290114243352, 0.18890817181783773, 0.05195569573709416, -0.03214151137286708, -0.0179550853661365, 0.026532134218584923, -0.09587291690210502, -0.1382520374147192, 0.29159662535502795, 0.037442917654675154, 0.2972298835419, 0.05033058389311745, 0.0907528753732405, -0.017924125764578108, 0.07151266352997886, 0.08189175631259642, -0.17008529742440534, 0.11789203770384783, 0.14281345209077237, -0.04512964055267355, 0.14315727190484132, -0.5091655671833053, -0.17819195703440716, 0.000868828593945456, 0.1279089925713682, 0.12766287479335295, -0.0069188462840097525, -0.29117773807356284, 0.06898387998992962, -0.16290942393890065, -0.18164621905556746, -0.09052474249804777, 0.005986068042970839, 0.07308771015913595, -0.27864605628900113, 0.018924696710965937, 0.09144455724128334, 0.10786983921443896, -0.17164041688444004, -0.12736091081289544, -0.06863343541229529, 0.14533943118202308, 0.04739190218231035, 0.021460156932118394, 0.19458408575386754, -0.12802414215421157, -0.08343875998010238, 0.3084013107868414, -0.02080302718021567, -0.16976485111647183, 0.17852685605323623, -0.1019018571158605, -0.022731524544753252, 0.19025885440882237, 0.12981641313268077, 0.12390139642807227, -0.13698078189340848, 0.03697363999561362, 0.001216089308616661, 0.1617679652861423, 0.09253499020511906, 0.04589575206831334, 0.2757223363197039, 0.19272416019960056, 0.01553941612678861, 0.24159056084260108, -0.13489368484385075, -0.0644777264771244, -0.27250523170426727, -0.15869782767480328, -0.11696207915092745, 0.0726539146019763, -0.12405102932779488, -0.30793922729346723, 0.38751037299839985, 0.07014795226444091, 0.17623131096294697, -0.049144274538515935, 0.2685368126110425, 0.08239823425861283, 0.033687090918806104, 0.004223554927323546, 0.2439793957367776, 0.2499017268604052, 0.13330703906507957, -0.26006926172634676, 0.009964050603143516, 0.039076800569004956] |
711.1102 | Approche p\'edagogique sur l'innocuit\'e des technologies de r\'eseaux
sans fil | The wireless networks technologies are becoming more prevalent. As part of
our courses, we have to deal with the technical aspects of these technologies.
However, the experience of mobile telephony has shown fears that these products
can lead to the general public. The latter comes from the use of
electromagnetic waves at frequencies close to the frequencies of microwaves
oven(2.45 GHz). Studies are under way for years in order to identify the
possible effects on the body related to prolonged use of mobile phones.
Wireless networks like WiFi or ZigBee for example works with microwave
frequencies. On the other hand, problems relating to electromagnetic
compatibility waves with the electronic devices must also be studied. The
question of the safety of these technologies must be addressed with the
students. They will may need to install such equipment. We have integrated the
teaching of wireless networks in a chapter dealing with current standards of
exposure to electromagnetic waves for living beings and the electronic devices.
The aim of our approach is the obtention of knowledges by the student. so he
will be able to form an opinion and to provide a speech enlightened to future
users of these networks. To this end, we have developed a visualization tool
for the distribution of electromagnetic fields. This tool being used will help
you understand the electromagnetic environment in which we live and quantify
the values of electromagnetic fields (telephony, television, radio, WiFi,
Bluetooth, ZigBee, microwave oven, etc.).
| physics.ed-ph physics.pop-ph | the wireless networks technologies are becoming more prevalent as part of our courses we have to deal with the technical aspects of these technologies however the experience of mobile telephony has shown fears that these products can lead to the general public the latter comes from the use of electromagnetic waves at frequencies close to the frequencies of microwaves oven245 ghz studies are under way for years in order to identify the possible effects on the body related to prolonged use of mobile phones wireless networks like wifi or zigbee for example works with microwave frequencies on the other hand problems relating to electromagnetic compatibility waves with the electronic devices must also be studied the question of the safety of these technologies must be addressed with the students they will may need to install such equipment we have integrated the teaching of wireless networks in a chapter dealing with current standards of exposure to electromagnetic waves for living beings and the electronic devices the aim of our approach is the obtention of knowledges by the student so he will be able to form an opinion and to provide a speech enlightened to future users of these networks to this end we have developed a visualization tool for the distribution of electromagnetic fields this tool being used will help you understand the electromagnetic environment in which we live and quantify the values of electromagnetic fields telephony television radio wifi bluetooth zigbee microwave oven etc | [['the', 'wireless', 'networks', 'technologies', 'are', 'becoming', 'more', 'prevalent', 'as', 'part', 'of', 'our', 'courses', 'we', 'have', 'to', 'deal', 'with', 'the', 'technical', 'aspects', 'of', 'these', 'technologies', 'however', 'the', 'experience', 'of', 'mobile', 'telephony', 'has', 'shown', 'fears', 'that', 'these', 'products', 'can', 'lead', 'to', 'the', 'general', 'public', 'the', 'latter', 'comes', 'from', 'the', 'use', 'of', 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711.1103 | From Dirac spinor fields to ELKO | Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor
fields) belong, together with Majorana spinor fields, to a wider class of
spinor fields, the so-called flagpole spinor fields, corresponding to the class
(5), according to Lounesto spinor field classification based on the relations
and values taken by their associated bilinear covariants. There exists only six
such disjoint classes: the first three corresponding to Dirac spinor fields,
and the other three respectively corresponding to flagpole, flag-dipole and
Weyl spinor fields. This paper is devoted to investigate and provide the
necessary and sufficient conditions to map Dirac spinor fields to ELKO, in
order to naturally extend the Standard Model to spinor fields possessing mass
dimension one. As ELKO is a prime candidate to describe dark matter, an
adequate and necessary formalism is introduced and developed here, to better
understand the algebraic, geometric and physical properties of ELKO spinor
fields, and their underlying relationship to Dirac spinor fields.
| math-ph hep-th math.MP | dualhelicity eigenspinors of the charge conjugation operator elko spinor fields belong together with majorana spinor fields to a wider class of spinor fields the socalled flagpole spinor fields corresponding to the class 5 according to lounesto spinor field classification based on the relations and values taken by their associated bilinear covariants there exists only six such disjoint classes the first three corresponding to dirac spinor fields and the other three respectively corresponding to flagpole flagdipole and weyl spinor fields this paper is devoted to investigate and provide the necessary and sufficient conditions to map dirac spinor fields to elko in order to naturally extend the standard model to spinor fields possessing mass dimension one as elko is a prime candidate to describe dark matter an adequate and necessary formalism is introduced and developed here to better understand the algebraic geometric and physical properties of elko spinor fields and their underlying relationship to dirac spinor fields | [['dualhelicity', 'eigenspinors', 'of', 'the', 'charge', 'conjugation', 'operator', 'elko', 'spinor', 'fields', 'belong', 'together', 'with', 'majorana', 'spinor', 'fields', 'to', 'a', 'wider', 'class', 'of', 'spinor', 'fields', 'the', 'socalled', 'flagpole', 'spinor', 'fields', 'corresponding', 'to', 'the', 'class', '5', 'according', 'to', 'lounesto', 'spinor', 'field', 'classification', 'based', 'on', 'the', 'relations', 'and', 'values', 'taken', 'by', 'their', 'associated', 'bilinear', 'covariants', 'there', 'exists', 'only', 'six', 'such', 'disjoint', 'classes', 'the', 'first', 'three', 'corresponding', 'to', 'dirac', 'spinor', 'fields', 'and', 'the', 'other', 'three', 'respectively', 'corresponding', 'to', 'flagpole', 'flagdipole', 'and', 'weyl', 'spinor', 'fields', 'this', 'paper', 'is', 'devoted', 'to', 'investigate', 'and', 'provide', 'the', 'necessary', 'and', 'sufficient', 'conditions', 'to', 'map', 'dirac', 'spinor', 'fields', 'to', 'elko', 'in', 'order', 'to', 'naturally', 'extend', 'the', 'standard', 'model', 'to', 'spinor', 'fields', 'possessing', 'mass', 'dimension', 'one', 'as', 'elko', 'is', 'a', 'prime', 'candidate', 'to', 'describe', 'dark', 'matter', 'an', 'adequate', 'and', 'necessary', 'formalism', 'is', 'introduced', 'and', 'developed', 'here', 'to', 'better', 'understand', 'the', 'algebraic', 'geometric', 'and', 'physical', 'properties', 'of', 'elko', 'spinor', 'fields', 'and', 'their', 'underlying', 'relationship', 'to', 'dirac', 'spinor', 'fields']] | [-0.16456125441698297, 0.1785907342460104, -0.04940579857136453, 0.12289609626205938, -0.18246502655618374, -0.12968189671275115, -0.05069399355204716, 0.3282900497392421, -0.20796399606812385, -0.29913480992038405, 0.004011401959935264, -0.1909950980496022, -0.12872235709200464, 0.13319271238550784, 0.01466756850601204, 0.019805125223055872, -0.07266509234003964, 0.10728756524491004, -0.12211270734307265, -0.32177652489363906, 0.42805329648056817, -0.047172058740210146, 0.2883272644342674, -0.0013472794938171582, 0.14365824270212363, -0.02963154962466609, 0.010803955485443434, -0.052495316967730514, -0.10233106361101231, 0.10061966843091913, 0.21354374004708182, 0.08139126438256954, 0.15675427280516635, -0.4095070397060725, -0.15904224561226946, 0.1576529538799678, 0.1290620449539875, 0.04769900445225499, -0.01280727714315177, -0.3459337549884954, 0.05083562090632415, -0.12155532224644576, -0.1926013121832042, -0.16479474705373567, 0.02147433609746757, -0.06345232988091846, -0.2555905964826384, 0.0340117891769736, 0.06655932793453817, 0.06402541646854051, -0.11137314337425895, -0.11382105166558176, -0.04507767300031358, 0.06057180459686225, 0.07326190136748577, 0.03199456001091148, 0.07282349999933954, -0.17657493931361504, -0.1193415442301381, 0.40629300066502766, -0.09773997042493354, -0.2665135350559027, 0.21358124494943168, -0.10698460683070739, -0.10258958501320693, 0.09154463514325119, 0.12965542016731155, 0.0975921728858544, -0.18343020722630524, 0.1393667721305974, -0.04082028755257207, 0.05943250288405726, 0.08605668017670752, 0.054736693257526045, 0.27169573122650503, 0.026524314464580628, 0.04977326296990917, 0.10237269788236929, -0.023236876070093844, -0.10027434300901669, -0.3454215998971655, -0.25816350723975884, -0.1263473094636274, 0.0912045108278342, -0.02364081209440971, -0.15213492924587863, 0.45067689752867146, 0.15484189262703782, 0.13613951336592436, -0.02584633796716169, 0.20115894500782053, 0.11060379676618463, 0.10917407416648442, 0.019991172434228863, 0.22329816939459451, 0.29854996837825787, 0.09644942983023581, -0.19186814446002246, -0.17242699047069876, 0.099191291933699] |
711.1104 | Selection Principles and Baire spaces | We prove that if X is a separable metric space with the Hurewicz covering
property, then the Banach-Mazur game played on X is determined. The implication
is not true when "Hurewicz covering property" is replaced with "Menger covering
property".
| math.GN | we prove that if x is a separable metric space with the hurewicz covering property then the banachmazur game played on x is determined the implication is not true when hurewicz covering property is replaced with menger covering property | [['we', 'prove', 'that', 'if', 'x', 'is', 'a', 'separable', 'metric', 'space', 'with', 'the', 'hurewicz', 'covering', 'property', 'then', 'the', 'banachmazur', 'game', 'played', 'on', 'x', 'is', 'determined', 'the', 'implication', 'is', 'not', 'true', 'when', 'hurewicz', 'covering', 'property', 'is', 'replaced', 'with', 'menger', 'covering', 'property']] | [-0.1336186237824269, 0.13776912721088871, -0.1456523892015983, 0.10048687337443997, -0.10491707688197494, -0.1588189770372059, 0.017079608879075982, 0.4460993225757892, -0.3945234225919613, -0.12413762459674707, 0.12985267808947426, -0.2965955329485811, -0.11413019083631344, 0.15704280119210196, -0.19688297003412095, -0.04000142057879995, 0.04597098332567093, 0.09894503350966634, -0.05885836896964182, -0.3103052211495546, 0.4316969170020177, -0.07915284334180447, 0.20250655044443333, 0.08498524831464657, 0.18120901888379684, 0.06825802674612556, 0.017508893082730282, 0.14699798166820516, -0.17583239788449972, 0.0726201358036353, 0.2145273689276133, 0.17420871988631403, 0.30063632823144776, -0.2242599414804807, -0.16146952104874146, 0.2624720012148221, 0.0337872175165476, -0.14246580131256428, -0.0009988515775125378, -0.2765135598392823, 0.17185052732626596, -0.08416303583922294, -0.13577462988308606, -0.002128119795368268, 0.09463635192085536, -0.06391904476838998, -0.2703919655356843, -0.09291977741015263, 0.1503790635137986, 0.0661248105028883, -0.0579323034781294, -0.06594464968507871, -0.09208856710495475, 0.09323622978617771, -0.025355561636388302, 0.11314300654264979, 0.07205044862647088, -0.045838541184098296, -0.030259620395297997, 0.4008634999776498, -0.04660195082378311, -0.21853266278123604, 0.08244236793894416, -0.22013316021706814, -0.17731067036481526, 0.12437430805025193, -0.028952377776686963, 0.1334185935377788, 0.00912572489267824, 0.27695062487290645, -0.18244179414632994, 0.23816792781536394, 0.11281827622606681, 0.11200921170604534, 0.07719617723845519, 0.165972042727308, 0.21336831216915295, 0.15988921780043688, -0.007366863694280768, -0.08185762935915054, -0.31257266162011105, -0.15288644267443138, -0.22369302085672432, 0.17405062967065113, -0.10070846337251939, -0.15036216409256062, 0.2334305910895077, 0.010346006840849534, 0.14921407910207143, 0.1149380752721276, 0.20253134943926945, 0.03577472104762609, 0.001416813113535635, 0.10395163885102822, 0.2191845819545098, 0.19124452526179644, -0.03075736178419529, -0.062368025561460316, 0.1102890992919222, 0.2565489672601987] |
711.1105 | The fine-grained phase-space structure of Cold Dark Matter halos | We present a new and completely general technique for calculating the
fine-grained phase-space structure of dark matter throughout the Galactic halo.
Our goal is to understand this structure on the scales relevant for direct and
indirect detection experiments. Our method is based on evaluating the geodesic
deviation equation along the trajectories of individual DM particles. It
requires no assumptions about the symmetry or stationarity of the halo
formation process. In this paper we study general static potentials which
exhibit more complex behaviour than the separable potentials studied
previously. For ellipsoidal logarithmic potentials with a core, phase mixing is
sensitive to the resonance structure, as indicated by the number of independent
orbital frequencies. Regions of chaotic mixing can be identified by the very
rapid decrease in the real space density of the associated dark matter streams.
We also study the evolution of stream density in ellipsoidal NFW halos with
radially varying isopotential shape, showing that if such a model is applied to
the Galactic halo, at least $10^5$ streams are expected near the Sun. The most
novel aspect of our approach is that general non-static systems can be studied
through implementation in a cosmological N-body code. Such an implementation
allows a robust and accurate evaluation of the enhancements in annihilation
radiation due to fine-scale structure such as caustics. We embed the scheme in
the current state-of-the-art code GADGET-3 and present tests which demonstrate
that N-body discreteness effects can be kept under control in realistic
configurations.
| astro-ph | we present a new and completely general technique for calculating the finegrained phasespace structure of dark matter throughout the galactic halo our goal is to understand this structure on the scales relevant for direct and indirect detection experiments our method is based on evaluating the geodesic deviation equation along the trajectories of individual dm particles it requires no assumptions about the symmetry or stationarity of the halo formation process in this paper we study general static potentials which exhibit more complex behaviour than the separable potentials studied previously for ellipsoidal logarithmic potentials with a core phase mixing is sensitive to the resonance structure as indicated by the number of independent orbital frequencies regions of chaotic mixing can be identified by the very rapid decrease in the real space density of the associated dark matter streams we also study the evolution of stream density in ellipsoidal nfw halos with radially varying isopotential shape showing that if such a model is applied to the galactic halo at least 105 streams are expected near the sun the most novel aspect of our approach is that general nonstatic systems can be studied through implementation in a cosmological nbody code such an implementation allows a robust and accurate evaluation of the enhancements in annihilation radiation due to finescale structure such as caustics we embed the scheme in the current stateoftheart code gadget3 and present tests which demonstrate that nbody discreteness effects can be kept under control in realistic configurations | [['we', 'present', 'a', 'new', 'and', 'completely', 'general', 'technique', 'for', 'calculating', 'the', 'finegrained', 'phasespace', 'structure', 'of', 'dark', 'matter', 'throughout', 'the', 'galactic', 'halo', 'our', 'goal', 'is', 'to', 'understand', 'this', 'structure', 'on', 'the', 'scales', 'relevant', 'for', 'direct', 'and', 'indirect', 'detection', 'experiments', 'our', 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711.1106 | Ageing in homogeneous systems at criticality | Ageing phenomena are observed in a large variety of dynamical systems
exhibiting a slow relaxation from a non-equilibrium initial state. Ageing can
be characterised in terms of the linear response R(t,s) at time t to a local
perturbation at time s<t. Usually one distinguishes two dynamical regimes,
namely, the quasi-stationary regime, where the response is translationally
invariant in time, and the ageing regime, where this invariance is broken. In
general these two regimes are separate in the sense that the two limits of (a)
taking t,s to infinity while keeping t/s fixed, and (b) taking t,s to infinity
with fixed t-s, give different results. In recent years, ageing was also
investigated in the context of homogeneous critical systems such as the
Glauber-Ising model and the contact process. Here we argue that, in contrast to
a widespread believe, homogeneous critical systems do not have a separate
quasi-stationary regime, hence the two limits do commute. Moreover, it is
discussed under which conditions two particular exponents, denoted as a and a'
in the literature, have to be identical.
| cond-mat.stat-mech | ageing phenomena are observed in a large variety of dynamical systems exhibiting a slow relaxation from a nonequilibrium initial state ageing can be characterised in terms of the linear response rts at time t to a local perturbation at time st usually one distinguishes two dynamical regimes namely the quasistationary regime where the response is translationally invariant in time and the ageing regime where this invariance is broken in general these two regimes are separate in the sense that the two limits of a taking ts to infinity while keeping ts fixed and b taking ts to infinity with fixed ts give different results in recent years ageing was also investigated in the context of homogeneous critical systems such as the glauberising model and the contact process here we argue that in contrast to a widespread believe homogeneous critical systems do not have a separate quasistationary regime hence the two limits do commute moreover it is discussed under which conditions two particular exponents denoted as a and a in the literature have to be identical | [['ageing', 'phenomena', 'are', 'observed', 'in', 'a', 'large', 'variety', 'of', 'dynamical', 'systems', 'exhibiting', 'a', 'slow', 'relaxation', 'from', 'a', 'nonequilibrium', 'initial', 'state', 'ageing', 'can', 'be', 'characterised', 'in', 'terms', 'of', 'the', 'linear', 'response', 'rts', 'at', 'time', 't', 'to', 'a', 'local', 'perturbation', 'at', 'time', 'st', 'usually', 'one', 'distinguishes', 'two', 'dynamical', 'regimes', 'namely', 'the', 'quasistationary', 'regime', 'where', 'the', 'response', 'is', 'translationally', 'invariant', 'in', 'time', 'and', 'the', 'ageing', 'regime', 'where', 'this', 'invariance', 'is', 'broken', 'in', 'general', 'these', 'two', 'regimes', 'are', 'separate', 'in', 'the', 'sense', 'that', 'the', 'two', 'limits', 'of', 'a', 'taking', 'ts', 'to', 'infinity', 'while', 'keeping', 'ts', 'fixed', 'and', 'b', 'taking', 'ts', 'to', 'infinity', 'with', 'fixed', 'ts', 'give', 'different', 'results', 'in', 'recent', 'years', 'ageing', 'was', 'also', 'investigated', 'in', 'the', 'context', 'of', 'homogeneous', 'critical', 'systems', 'such', 'as', 'the', 'glauberising', 'model', 'and', 'the', 'contact', 'process', 'here', 'we', 'argue', 'that', 'in', 'contrast', 'to', 'a', 'widespread', 'believe', 'homogeneous', 'critical', 'systems', 'do', 'not', 'have', 'a', 'separate', 'quasistationary', 'regime', 'hence', 'the', 'two', 'limits', 'do', 'commute', 'moreover', 'it', 'is', 'discussed', 'under', 'which', 'conditions', 'two', 'particular', 'exponents', 'denoted', 'as', 'a', 'and', 'a', 'in', 'the', 'literature', 'have', 'to', 'be', 'identical']] | [-0.14061844664492779, 0.1991807375928121, -0.1149443962983787, 0.05592897389654743, -0.0008465309081865208, -0.16371099051487234, 0.01561923788328256, 0.3369365992031193, -0.28471322448658093, -0.24127239991511618, 0.12551000981924257, -0.2476042306050658, -0.13397304250725678, 0.18254362861492804, -0.01883347448493753, 0.04850612976721355, -0.007528529500455729, 0.05231597791825022, -0.08189038069494667, -0.21776184336415358, 0.3113332950909223, -0.007024096537913595, 0.2930095474927553, 0.007468771057402982, 0.08229129659810236, -0.03391877886706165, 0.03299172387857522, 0.07505059046404702, -0.12114970019727479, -0.015648562676672424, 0.2625833705280508, 0.049405391684600286, 0.2616488686629704, -0.4174862447061709, -0.24392950587240714, 0.11353218764864972, 0.15753170268743166, 0.09745915497054479, 0.0027240019970174345, -0.2343432810849377, 0.09101570924477918, -0.14420095533132554, -0.11190732782440527, -0.041336213909754796, 0.05405084683426789, 0.02559402389950784, -0.2717927784046956, 0.08134340391544226, 0.09352272758759292, 0.05308084126029696, -0.050614489050848144, -0.056916823950596156, 0.0025024421220379216, 0.12780838572287134, 0.07104928850645333, 0.009852944462493594, 0.12048339905749474, -0.11735557845793665, -0.10232079991605132, 0.3705895979489599, -0.0761957845557481, -0.176546630316547, 0.2827629537241799, -0.1850598507614008, -0.1684398731975151, 0.11948438454685467, 0.14742475295705454, 0.1109485322130578, -0.16951338004719999, 0.09429833404187646, -0.008223651881728853, 0.11100655716444764, 0.057420488388410636, 0.044949805663699015, 0.18188270521483252, 0.15193220934165375, 0.04658074145338365, 0.1283351978792676, -0.04699391528165766, -0.14655085790370193, -0.29566240997186727, -0.12977178037765302, -0.15571011165423052, 0.06154733882693108, -0.05314591014724491, -0.13802214539742896, 0.3778304366873843, 0.12476756993149007, 0.2454521802254021, 0.04717682812961617, 0.2337371349973338, 0.15875369180126914, 0.026664588357255395, 0.06609668380181705, 0.2539459368826023, 0.07091442640538194, 0.12017260077409446, -0.20906101589357215, 0.0813204631375681, 0.016360647645113725] |
711.1107 | Correlated X-ray and Optical Variability in Mkn 509 | We present results of a 3 year monitoring campaign of the Seyfert 1 galaxy
Markarian 509, using X-ray data from the Rossi X-ray Timing Explorer (RXTE) and
optical data taken by the SMARTS consortium. Both light curves show significant
variations, and are strongly correlated with the optical flux leading the X-ray
flux by 15 days. The X-ray power spectrum shows a steep high-frequency slope of
-2.0, breaking to a slope of -1.0 at at timescale of 34 days. The lag from
optical to X-ray emission is most likely caused by variations in the accretion
disk propagating inward.
| astro-ph | we present results of a 3 year monitoring campaign of the seyfert 1 galaxy markarian 509 using xray data from the rossi xray timing explorer rxte and optical data taken by the smarts consortium both light curves show significant variations and are strongly correlated with the optical flux leading the xray flux by 15 days the xray power spectrum shows a steep highfrequency slope of 20 breaking to a slope of 10 at at timescale of 34 days the lag from optical to xray emission is most likely caused by variations in the accretion disk propagating inward | [['we', 'present', 'results', 'of', 'a', '3', 'year', 'monitoring', 'campaign', 'of', 'the', 'seyfert', '1', 'galaxy', 'markarian', '509', 'using', 'xray', 'data', 'from', 'the', 'rossi', 'xray', 'timing', 'explorer', 'rxte', 'and', 'optical', 'data', 'taken', 'by', 'the', 'smarts', 'consortium', 'both', 'light', 'curves', 'show', 'significant', 'variations', 'and', 'are', 'strongly', 'correlated', 'with', 'the', 'optical', 'flux', 'leading', 'the', 'xray', 'flux', 'by', '15', 'days', 'the', 'xray', 'power', 'spectrum', 'shows', 'a', 'steep', 'highfrequency', 'slope', 'of', '20', 'breaking', 'to', 'a', 'slope', 'of', '10', 'at', 'at', 'timescale', 'of', '34', 'days', 'the', 'lag', 'from', 'optical', 'to', 'xray', 'emission', 'is', 'most', 'likely', 'caused', 'by', 'variations', 'in', 'the', 'accretion', 'disk', 'propagating', 'inward']] | [-0.0697110318770805, 0.13095351612464207, -0.05777350021046154, 0.06991007515666142, -0.09116300430686511, -0.08879574446353256, 0.05853207714221988, 0.47851570831976603, -0.20345916596754962, -0.40005113902626577, 0.16192329469372124, -0.41045241962311807, -0.028531000382967832, 0.2709329276220854, -0.0537111107368003, 0.024886476762890433, 0.07314011318484302, -0.16111613421451262, -0.016391950697858922, -0.22039865479641355, 0.24447514239660242, 0.0964785938213589, 0.18058289490524948, -0.010532568189670745, 0.0542036470832284, 0.0021251817185854176, -0.129843341781921, -0.059731776067583835, -0.056313511152204475, 0.04491950892459255, 0.22441336146517435, 0.08399714072494163, 0.2083647418959239, -0.3711334319842845, -0.2363006548821619, 0.028585284487488344, 0.10990939573468833, -0.08584033019034211, -0.010938329386918508, -0.24998589354019957, 0.019393638784507502, -0.1932125226354476, -0.174260518499218, 0.09156504028582389, 0.10494162985267713, 0.03415022425583957, -0.18103867351586364, 0.14703755595327653, -0.03422132753839083, 0.13640961251653655, -0.201000519284076, -0.0031578598745628118, -0.04392921827138238, 0.035634566458499, 0.09080441303541596, 0.08363471558970428, 0.15546867515910992, -0.078699595311695, -0.0931153323095695, 0.3391487133309975, -0.07483052062926833, 0.1670498985739559, 0.13488999905890411, -0.24241599589874296, -0.1686484423254799, 0.25813577970317036, 0.12628342152678781, 0.07088729859625, -0.13270312646576732, -0.029035776593127123, 0.011604910495585388, 0.3588551461850245, 0.05050246382477818, 0.0427275714489989, 0.3110846404331861, 0.11011510413528909, -0.012753569977069945, 0.13934183267986922, -0.32354057682006016, 0.049396798115454076, -0.2219671884398024, 0.019068482123104108, -0.11361595212491517, 0.14045107693017758, -0.11343073210236136, -0.05684428556447791, 0.4227214718823196, 0.0174004232280494, 0.19293159246444702, 0.03008035315469522, 0.3200948975221782, 0.09691589582020167, 0.07011917761536603, 0.14118295740432193, 0.35967407559918374, 0.10024490953211855, 0.18016287129487574, -0.2659042963287649, 0.009830072368543172, -0.03620929013668876] |
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