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712.0279 | Heisenberg modules over real multiplication noncommutative tori and
related algebraic structures | We review some aspects of the theory of noncommutative two-tori with real
multiplication focusing on the role played by Heisenberg groups in the
definition of algebraic structures associated to these noncommutative spaces.
| math.QA | we review some aspects of the theory of noncommutative twotori with real multiplication focusing on the role played by heisenberg groups in the definition of algebraic structures associated to these noncommutative spaces | [['we', 'review', 'some', 'aspects', 'of', 'the', 'theory', 'of', 'noncommutative', 'twotori', 'with', 'real', 'multiplication', 'focusing', 'on', 'the', 'role', 'played', 'by', 'heisenberg', 'groups', 'in', 'the', 'definition', 'of', 'algebraic', 'structures', 'associated', 'to', 'these', 'noncommutative', 'spaces']] | [-0.1785208603105275, 0.1301433790649753, -0.08316259284038097, 0.11629787361016497, -0.10008611640660092, -0.05339693833957426, -0.050901653867185814, 0.3412523063016124, -0.29506392788607627, -0.24487440835218877, 0.13412761578001664, -0.23454088501557635, -0.23779662439483218, 0.24826067493995652, -0.11936374049400911, -0.03333279793150723, -0.03775386523921043, 0.08032325457315892, -0.16832009237259626, -0.3096570579800755, 0.511007573644747, 0.04096520654275082, 0.2175405079324264, 0.030101142707280815, 0.08343830105150118, 0.07836090946511831, -0.12743184078135528, 0.006789830600610003, -0.17676632211077958, 0.2172800450352952, 0.252875127538573, 0.03854395018424839, 0.24063898753956892, -0.44225159869529307, -0.16399773716693744, 0.11639636346080806, 0.09139239418436773, -0.01885433617280796, -0.06734631159997662, -0.3253462192369625, 0.03071040369104594, -0.15659159005736, -0.14117238264589105, -0.08650544486590661, 0.004760918614920229, 0.012789973116014153, -0.10636185616021976, -0.0184116280033777, 0.11712000210536644, 0.1502554599137511, -0.08256697788601741, -0.08778588774657692, 0.02717735325859394, 0.11000040116778109, 0.020875922054983675, -0.030042244456126355, 0.12433782075822819, -0.11485622939653695, -0.20542849402409047, 0.3857211952563375, 0.019729573039967363, -0.24678235064493492, 0.08735745763988234, -0.1852258315338986, -0.23031750743393786, 0.017983293277211487, 0.12145329848863184, 0.10142410476692021, 0.02370697195874527, 0.2173533791792579, -0.05858677433570847, 0.05197618702368345, 0.07019793131621554, 0.11636323458515108, 0.14662020036485046, 0.11005971243139356, -0.0021073427924420685, 0.10155501154076774, 0.047828579239649116, -0.24479511392382847, -0.3729675516951829, -0.14686551508202683, -0.0855946188676171, 0.14200454915408045, -0.1324112315196544, -0.19030687824852066, 0.406503050646279, 0.09375969685788732, 0.16909518977627158, -0.02666013647103682, 0.18212528293952346, 0.05356920955819078, 0.040980768575536786, -0.05049905175110325, 0.14388688297640329, 0.28800771624810295, 0.05313864674826618, -0.17481155070709065, -0.03897440205037128, 0.21075854459195398] |
712.028 | Suzaku X-Ray Spectroscopy of a Peculiar Hot Star in the Galactic Center
Region | We present the results of a Suzaku study of a bright point-like source in the
6.7 keV intensity map of the Galactic center region. We detected an intense
FeXXV 6.7 keV line with an equivalent width of ~1 keV as well as emission lines
of highly ionized Ar and Ca from a spectrum obtained by the X-ray Imaging
Spectrometer. The overall spectrum is described very well by a heavily absorbed
(~2x10^{23}cm^{-2}) thin thermal plasma model with a temperature of 3.8+/-0.6
keV and a luminosity of ~3x10^{34} erg s^{-1} (2.0--8.0 keV) at 8 kpc. The
absorption, temperature, luminosity, and the 6.7 keV line intensity were
confirmed with the archived XMM-Newton data. The source has a very red
(J-Ks=8.2 mag) infrared spectral energy distribution (SED), which was fitted by
a blackbody emission of ~1000 K attenuated by a visual extinction of ~31 mag.
The high plasma temperature and the large X-ray luminosity are consistent with
a wind-wind colliding Wolf-Rayet binary. The similarity of the SED to those of
the eponymous Quintuplet cluster members suggests that the source is a WC-type
source.
| astro-ph | we present the results of a suzaku study of a bright pointlike source in the 67 kev intensity map of the galactic center region we detected an intense fexxv 67 kev line with an equivalent width of 1 kev as well as emission lines of highly ionized ar and ca from a spectrum obtained by the xray imaging spectrometer the overall spectrum is described very well by a heavily absorbed 2x1023cm2 thin thermal plasma model with a temperature of 3806 kev and a luminosity of 3x1034 erg s1 2080 kev at 8 kpc the absorption temperature luminosity and the 67 kev line intensity were confirmed with the archived xmmnewton data the source has a very red jks82 mag infrared spectral energy distribution sed which was fitted by a blackbody emission of 1000 k attenuated by a visual extinction of 31 mag the high plasma temperature and the large xray luminosity are consistent with a windwind colliding wolfrayet binary the similarity of the sed to those of the eponymous quintuplet cluster members suggests that the source is a wctype source | [['we', 'present', 'the', 'results', 'of', 'a', 'suzaku', 'study', 'of', 'a', 'bright', 'pointlike', 'source', 'in', 'the', '67', 'kev', 'intensity', 'map', 'of', 'the', 'galactic', 'center', 'region', 'we', 'detected', 'an', 'intense', 'fexxv', '67', 'kev', 'line', 'with', 'an', 'equivalent', 'width', 'of', '1', 'kev', 'as', 'well', 'as', 'emission', 'lines', 'of', 'highly', 'ionized', 'ar', 'and', 'ca', 'from', 'a', 'spectrum', 'obtained', 'by', 'the', 'xray', 'imaging', 'spectrometer', 'the', 'overall', 'spectrum', 'is', 'described', 'very', 'well', 'by', 'a', 'heavily', 'absorbed', '2x1023cm2', 'thin', 'thermal', 'plasma', 'model', 'with', 'a', 'temperature', 'of', '3806', 'kev', 'and', 'a', 'luminosity', 'of', '3x1034', 'erg', 's1', '2080', 'kev', 'at', '8', 'kpc', 'the', 'absorption', 'temperature', 'luminosity', 'and', 'the', '67', 'kev', 'line', 'intensity', 'were', 'confirmed', 'with', 'the', 'archived', 'xmmnewton', 'data', 'the', 'source', 'has', 'a', 'very', 'red', 'jks82', 'mag', 'infrared', 'spectral', 'energy', 'distribution', 'sed', 'which', 'was', 'fitted', 'by', 'a', 'blackbody', 'emission', 'of', '1000', 'k', 'attenuated', 'by', 'a', 'visual', 'extinction', 'of', '31', 'mag', 'the', 'high', 'plasma', 'temperature', 'and', 'the', 'large', 'xray', 'luminosity', 'are', 'consistent', 'with', 'a', 'windwind', 'colliding', 'wolfrayet', 'binary', 'the', 'similarity', 'of', 'the', 'sed', 'to', 'those', 'of', 'the', 'eponymous', 'quintuplet', 'cluster', 'members', 'suggests', 'that', 'the', 'source', 'is', 'a', 'wctype', 'source']] | [-0.00894180959153731, 0.1150992998097284, -0.04207972356113, 0.08150403404287404, -0.04154004357323724, -0.11577985864816664, 0.05698586978402389, 0.4971326011848652, -0.1325469915281539, -0.3804168355451255, 0.04778081682013442, -0.36873258391426783, 0.09437668962288374, 0.17208653286173098, -0.00896589273713808, -0.02444404814560703, 0.042579189950526605, -0.07585252064548559, -0.017966126321978068, -0.17036288170049252, 0.23692359885800693, 0.1470666732007669, 0.17823172433270237, 0.03380436712539213, 0.05920919848377106, -0.07696548732271218, -0.05158071567884536, -0.03323695057803123, -0.06879009809914752, 0.06088136349104892, 0.24242902571324912, 0.09593244654581604, 0.18252798704671183, -0.2604044360755864, -0.24315669248143665, 0.014653250138343727, 0.17437082371479795, -0.07100143322607996, -0.024745493585317486, -0.2914653400933938, 0.00918861104328038, -0.1992527597595669, -0.20064704900470662, 0.12971665184039854, 0.045055433248148674, 0.021905354975254438, -0.1899388706917338, 0.13577991724935082, -0.0061633353789815794, 0.1215855677554247, -0.1637671111298904, -0.09503638866688993, -0.06611127780466261, -0.014277488537827286, 0.0016996122542821334, 0.08891961968104002, 0.20490575197026512, -0.1156684171387368, -0.03829037152904238, 0.3802095247316832, -0.10410954243842892, 0.10165097729676524, 0.17942764462198074, -0.16423240000129505, -0.13515379060635943, 0.308227210037284, 0.07015556687131355, 0.1190080891105499, -0.18346979531938326, 0.0229154473663019, -0.052502991731599565, 0.31369197873351307, 0.05434544510629007, 0.036835004540034015, 0.3049056892635795, 0.09773088303541944, -0.019844262531858548, 0.15676280227128028, -0.30296511921800123, 0.048291380698713714, -0.26460245035481533, -0.044498626424241704, -0.14042905817271373, 0.12511301640484293, -0.1190702616089776, -0.15620295206968815, 0.37099193534577046, 0.06568997306223054, 0.26682056875710014, -0.001473195908070242, 0.2957653508200652, 0.14526338526442395, 0.05395562685289457, 0.13111386681764814, 0.30830249331344317, 0.1862802751649087, 0.13538709237237953, -0.2181384022660701, -0.0024840726206700006, -0.017598142306778138] |
712.0281 | Results and Perspectives of Young Stellar Object long look programs | Both Chandra and XMM-Newton have performed long look programs for studying
the YSO physics. I will discuss recent results on the controversial issue of
Class 0 YSO X-ray emission, the observational evidence of magnetic funnels
interconnecting the YSO with its circumstellar disk and the Fe 6.4 keV
fluorescent line emission and its origin. While recent results of the
XMM-Newton DROXO program challenge the ''standard'' interpretation of the Fe
6.4 line origin as due to photoionized fluorescing disk material, the discovery
of X-ray excited Ne 12.81 micron line is a clear evidence of the interaction
between X-rays and disk material. Future long look observations with XMM-Newton
are required to clarify the X-ray effects on YSO disk.
| astro-ph | both chandra and xmmnewton have performed long look programs for studying the yso physics i will discuss recent results on the controversial issue of class 0 yso xray emission the observational evidence of magnetic funnels interconnecting the yso with its circumstellar disk and the fe 64 kev fluorescent line emission and its origin while recent results of the xmmnewton droxo program challenge the standard interpretation of the fe 64 line origin as due to photoionized fluorescing disk material the discovery of xray excited ne 1281 micron line is a clear evidence of the interaction between xrays and disk material future long look observations with xmmnewton are required to clarify the xray effects on yso disk | [['both', 'chandra', 'and', 'xmmnewton', 'have', 'performed', 'long', 'look', 'programs', 'for', 'studying', 'the', 'yso', 'physics', 'i', 'will', 'discuss', 'recent', 'results', 'on', 'the', 'controversial', 'issue', 'of', 'class', '0', 'yso', 'xray', 'emission', 'the', 'observational', 'evidence', 'of', 'magnetic', 'funnels', 'interconnecting', 'the', 'yso', 'with', 'its', 'circumstellar', 'disk', 'and', 'the', 'fe', '64', 'kev', 'fluorescent', 'line', 'emission', 'and', 'its', 'origin', 'while', 'recent', 'results', 'of', 'the', 'xmmnewton', 'droxo', 'program', 'challenge', 'the', 'standard', 'interpretation', 'of', 'the', 'fe', '64', 'line', 'origin', 'as', 'due', 'to', 'photoionized', 'fluorescing', 'disk', 'material', 'the', 'discovery', 'of', 'xray', 'excited', 'ne', '1281', 'micron', 'line', 'is', 'a', 'clear', 'evidence', 'of', 'the', 'interaction', 'between', 'xrays', 'and', 'disk', 'material', 'future', 'long', 'look', 'observations', 'with', 'xmmnewton', 'are', 'required', 'to', 'clarify', 'the', 'xray', 'effects', 'on', 'yso', 'disk']] | [-0.052423133806365985, 0.04029935495523007, -0.004827516987595869, 0.09660280789552338, -0.1470681126512911, -0.13217320934990825, 0.05557298229440399, 0.5006359330985857, -0.1803401898205503, -0.3462756707575982, 0.08452498892261444, -0.32868855282178394, 0.007865041741372451, 0.1500348803060858, 0.03006770671547755, -0.003586816327119975, 0.06287000442693091, -0.1745639296653478, -0.021133360131036328, -0.21803445538667882, 0.2644756519579855, 0.09751443080604076, 0.12871346434466946, 0.07434826146649277, 0.019552286362032528, -0.11037559255087019, -0.1028296652816884, -0.053767661159129246, -0.11227064447695106, 0.07344984743420196, 0.23920080706365812, 0.13906874583942977, 0.2234246578472464, -0.40219629427985004, -0.22204698473113874, -0.001929144873081342, 0.1581998232792577, -0.031059818643995603, -0.046183556871002784, -0.2947493483190951, 0.04458594994528381, -0.16292297313718693, -0.18982714520686347, 0.08762346317829645, 0.07915950279186844, -0.00166478959651178, -0.14502041832867849, 0.05036153563136316, 0.03498857432126027, 0.1221459112352813, -0.18521294266430904, -0.11827260973336903, -0.04299213474859362, 0.037730420295796964, 0.07301291262467756, 0.0798513959688337, 0.19889384988371445, -0.13567917029899748, -0.12840594875261835, 0.36585758922864564, -0.02970774002859126, 0.09015066674708025, 0.2513126880618865, -0.21986998166463784, -0.20991678967990954, 0.22516665105586467, 0.08307844805227511, 0.10864096480300245, -0.09552383509505054, 0.057542911321734606, -0.06231088458722376, 0.2620820305755605, 0.0020764000713825227, 0.11166454684799132, 0.38996048503271913, 0.1053645175912053, -0.06105957122965028, 0.15867017989816226, -0.31901473063854097, -0.02441420698457438, -0.2657012954840194, -0.13993517936247846, -0.1212828362401089, 0.10108304710086921, -0.08378386407149145, -0.1553396536199295, 0.31147540552217673, 0.10528747012545152, 0.20070092468320028, -0.03874128060212926, 0.3130981816343315, 0.05159780793600594, 0.027630913474232605, 0.09332854683389483, 0.3047970428738905, 0.1882816436822, 0.1678620057484216, -0.253462523246265, 0.09453072739643571, -0.0015243833682135396] |
712.0282 | On the automorphism groups of q-enveloping algebras of nilpotent Lie
algebras | We investigate the automorphism group of the quantised enveloping algebra U
of the positive nilpotent part of certain simple complex Lie algebras g in the
case where the deformation parameter q \in \mathbb{C}^* is not a root of unity.
Studying its action on the set of minimal primitive ideals of U we compute this
group in the cases where g=sl_3 and g=so_5 confirming a Conjecture of
Andruskiewitsch and Dumas regarding the automorphism group of U. In the case
where g=sl_3, we retrieve the description of the automorphism group of the
quantum Heisenberg algebra that was obtained independently by Alev and Dumas,
and Caldero. In the case where g=so_5, the automorphism group of U was computed
in [16] by using previous results of Andruskiewitsch and Dumas. In this paper,
we give a new (simpler) proof of the Conjecture of Andruskiewitsch and Dumas in
the case where g=so_5 based both on the original proof and on graded arguments
developed in [17] and [18].
| math.RA math.QA math.RT | we investigate the automorphism group of the quantised enveloping algebra u of the positive nilpotent part of certain simple complex lie algebras g in the case where the deformation parameter q in mathbbc is not a root of unity studying its action on the set of minimal primitive ideals of u we compute this group in the cases where gsl_3 and gso_5 confirming a conjecture of andruskiewitsch and dumas regarding the automorphism group of u in the case where gsl_3 we retrieve the description of the automorphism group of the quantum heisenberg algebra that was obtained independently by alev and dumas and caldero in the case where gso_5 the automorphism group of u was computed in 16 by using previous results of andruskiewitsch and dumas in this paper we give a new simpler proof of the conjecture of andruskiewitsch and dumas in the case where gso_5 based both on the original proof and on graded arguments developed in 17 and 18 | [['we', 'investigate', 'the', 'automorphism', 'group', 'of', 'the', 'quantised', 'enveloping', 'algebra', 'u', 'of', 'the', 'positive', 'nilpotent', 'part', 'of', 'certain', 'simple', 'complex', 'lie', 'algebras', 'g', 'in', 'the', 'case', 'where', 'the', 'deformation', 'parameter', 'q', 'in', 'mathbbc', 'is', 'not', 'a', 'root', 'of', 'unity', 'studying', 'its', 'action', 'on', 'the', 'set', 'of', 'minimal', 'primitive', 'ideals', 'of', 'u', 'we', 'compute', 'this', 'group', 'in', 'the', 'cases', 'where', 'gsl_3', 'and', 'gso_5', 'confirming', 'a', 'conjecture', 'of', 'andruskiewitsch', 'and', 'dumas', 'regarding', 'the', 'automorphism', 'group', 'of', 'u', 'in', 'the', 'case', 'where', 'gsl_3', 'we', 'retrieve', 'the', 'description', 'of', 'the', 'automorphism', 'group', 'of', 'the', 'quantum', 'heisenberg', 'algebra', 'that', 'was', 'obtained', 'independently', 'by', 'alev', 'and', 'dumas', 'and', 'caldero', 'in', 'the', 'case', 'where', 'gso_5', 'the', 'automorphism', 'group', 'of', 'u', 'was', 'computed', 'in', '16', 'by', 'using', 'previous', 'results', 'of', 'andruskiewitsch', 'and', 'dumas', 'in', 'this', 'paper', 'we', 'give', 'a', 'new', 'simpler', 'proof', 'of', 'the', 'conjecture', 'of', 'andruskiewitsch', 'and', 'dumas', 'in', 'the', 'case', 'where', 'gso_5', 'based', 'both', 'on', 'the', 'original', 'proof', 'and', 'on', 'graded', 'arguments', 'developed', 'in', '17', 'and', '18']] | [-0.16979400261149089, 0.05010974818771208, -0.06602875091517287, -0.009128329978231918, -0.08848341115640465, -0.11618349863135297, 0.027553118819584898, 0.28249947639089656, -0.2913144177682004, -0.23974522144203972, 0.12364862053524935, -0.25104660063877887, -0.1480672469952647, 0.18885871952526873, -0.13108717337806033, -0.03873436244368056, 0.00963884505576321, 0.12099065675591089, -0.0743667709030882, -0.29382725752982664, 0.37492735755647194, -0.017865453157660707, 0.18695701126396794, 0.05178530304837301, 0.07968127579458625, 0.04980262105428376, -0.04028962240178392, -0.040110707301017845, -0.1731649560737514, 0.10848801470251743, 0.24429763175159555, 0.045239554310321624, 0.2096725332121197, -0.3541538653698582, -0.1041561483249346, 0.12756102930129684, 0.15267487934368276, 0.01260368822154051, -0.04056065409192642, -0.28760106265197816, 0.11420748567480525, -0.213349010673878, -0.14044194149940928, -0.020037614786708208, 0.0911784555230822, -0.020250063273847475, -0.23186030981755637, 0.04819589259207063, 0.10833578788883613, 0.1431571721267071, -0.07157309100527884, -0.12370155012838453, -0.05031125343069203, 0.08828686512081149, -0.03689411252603999, 0.045646198743936946, 0.061787655634909684, -0.10009417621280003, -0.11362679772547545, 0.39644027521012365, -0.04056913372395294, -0.18768551237071338, 0.1073555617075506, -0.2107913549092847, -0.18411763618636576, 0.052736440700224325, 0.0725409071950346, 0.15929784355048807, -0.027312706664250876, 0.21627140555079588, -0.1529238969781754, 0.06167186258840866, 0.06579185385974298, -0.05666316769473394, 0.053660155719389084, 0.08497183325068493, 0.016092491349905313, 0.13380814678764538, 0.02669697527496017, -0.01689832073040538, -0.3337929830741808, -0.18607526974787253, -0.1353241511250366, 0.10834153498219606, -0.09646777472507949, -0.13623139313971683, 0.42372143880597185, 0.12118344201839396, 0.1727665001034783, 0.07962630818719449, 0.17368274852517784, 0.062467131444910305, 0.06435501625036867, 0.06948243150406558, 0.1624401348284359, 0.23024284799427072, -0.023090841147400763, -0.1870893918828148, -0.025578571792969608, 0.21591950208816377] |
712.0283 | Wavelet methods in statistics: Some recent developments and their
applications | The development of wavelet theory has in recent years spawned applications in
signal processing, in fast algorithms for integral transforms, and in image and
function representation methods. This last application has stimulated interest
in wavelet applications to statistics and to the analysis of experimental data,
with many successes in the efficient analysis, processing, and compression of
noisy signals and images. This is a selective review article that attempts to
synthesize some recent work on ``nonlinear'' wavelet methods in nonparametric
curve estimation and their role on a variety of applications. After a short
introduction to wavelet theory, we discuss in detail several wavelet shrinkage
and wavelet thresholding estimators, scattered in the literature and developed,
under more or less standard settings, for density estimation from i.i.d.
observations or to denoise data modeled as observations of a signal with
additive noise. Most of these methods are fitted into the general concept of
regularization with appropriately chosen penalty functions. A narrow range of
applications in major areas of statistics is also discussed such as partial
linear regression models and functional index models. The usefulness of all
these methods are illustrated by means of simulations and practical examples.
| stat.ME | the development of wavelet theory has in recent years spawned applications in signal processing in fast algorithms for integral transforms and in image and function representation methods this last application has stimulated interest in wavelet applications to statistics and to the analysis of experimental data with many successes in the efficient analysis processing and compression of noisy signals and images this is a selective review article that attempts to synthesize some recent work on nonlinear wavelet methods in nonparametric curve estimation and their role on a variety of applications after a short introduction to wavelet theory we discuss in detail several wavelet shrinkage and wavelet thresholding estimators scattered in the literature and developed under more or less standard settings for density estimation from iid observations or to denoise data modeled as observations of a signal with additive noise most of these methods are fitted into the general concept of regularization with appropriately chosen penalty functions a narrow range of applications in major areas of statistics is also discussed such as partial linear regression models and functional index models the usefulness of all these methods are illustrated by means of simulations and practical examples | [['the', 'development', 'of', 'wavelet', 'theory', 'has', 'in', 'recent', 'years', 'spawned', 'applications', 'in', 'signal', 'processing', 'in', 'fast', 'algorithms', 'for', 'integral', 'transforms', 'and', 'in', 'image', 'and', 'function', 'representation', 'methods', 'this', 'last', 'application', 'has', 'stimulated', 'interest', 'in', 'wavelet', 'applications', 'to', 'statistics', 'and', 'to', 'the', 'analysis', 'of', 'experimental', 'data', 'with', 'many', 'successes', 'in', 'the', 'efficient', 'analysis', 'processing', 'and', 'compression', 'of', 'noisy', 'signals', 'and', 'images', 'this', 'is', 'a', 'selective', 'review', 'article', 'that', 'attempts', 'to', 'synthesize', 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'models', 'and', 'functional', 'index', 'models', 'the', 'usefulness', 'of', 'all', 'these', 'methods', 'are', 'illustrated', 'by', 'means', 'of', 'simulations', 'and', 'practical', 'examples']] | [-0.030854783820891945, 0.020376004918039307, -0.10672966075380733, 0.05261379753003003, -0.058604442258727366, -0.11988503110252437, 0.00349292730299727, 0.44758783661099294, -0.2817755961565088, -0.2766077835836636, 0.18989757118008335, -0.2742864073645034, -0.2205330300310125, 0.2554521491398813, -0.11613999644940999, 0.13346737469582687, 0.06759563001346837, -0.0027386563723916526, -0.09962269281027501, -0.25529864205558994, 0.24022168027227406, 0.054184394613526025, 0.2957361572557201, -0.024076724404751424, 0.08189961936329661, 0.03855690667695255, -0.1183117520898928, -0.014174494027386906, -0.10521023699410116, 0.1660475602537548, 0.31351387424448324, 0.16969492095836242, 0.3505679596326473, -0.42110492273142147, -0.28716500991849236, 0.09007849725967013, 0.1359028816199017, 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712.0284 | Kinetics of stimulated polariton scattering in planar microcavities:
Evidence for a dynamically self-organized optical parametric oscillator | We demonstrate for the first time the strong temporal hysteresis effects in
the kinetics of the pumped and scattered polariton populations in a planar
semiconductor microcavity under a nano-second-long pulsed resonant (by
frequency and angle) excitation above the lower polariton branch. The
hysteresis effects are explained in the model of multi-mode scattering when the
bistability of the nonlinear pumped polariton is accompanied by the explosive
growth of the scattered polaritons population. Subsequent self-organization
process in the nonlinear polariton system results in a new -- dynamically
self-organized -- type of optical parametric oscillator.
| cond-mat.other | we demonstrate for the first time the strong temporal hysteresis effects in the kinetics of the pumped and scattered polariton populations in a planar semiconductor microcavity under a nanosecondlong pulsed resonant by frequency and angle excitation above the lower polariton branch the hysteresis effects are explained in the model of multimode scattering when the bistability of the nonlinear pumped polariton is accompanied by the explosive growth of the scattered polaritons population subsequent selforganization process in the nonlinear polariton system results in a new dynamically selforganized type of optical parametric oscillator | [['we', 'demonstrate', 'for', 'the', 'first', 'time', 'the', 'strong', 'temporal', 'hysteresis', 'effects', 'in', 'the', 'kinetics', 'of', 'the', 'pumped', 'and', 'scattered', 'polariton', 'populations', 'in', 'a', 'planar', 'semiconductor', 'microcavity', 'under', 'a', 'nanosecondlong', 'pulsed', 'resonant', 'by', 'frequency', 'and', 'angle', 'excitation', 'above', 'the', 'lower', 'polariton', 'branch', 'the', 'hysteresis', 'effects', 'are', 'explained', 'in', 'the', 'model', 'of', 'multimode', 'scattering', 'when', 'the', 'bistability', 'of', 'the', 'nonlinear', 'pumped', 'polariton', 'is', 'accompanied', 'by', 'the', 'explosive', 'growth', 'of', 'the', 'scattered', 'polaritons', 'population', 'subsequent', 'selforganization', 'process', 'in', 'the', 'nonlinear', 'polariton', 'system', 'results', 'in', 'a', 'new', 'dynamically', 'selforganized', 'type', 'of', 'optical', 'parametric', 'oscillator']] | [-0.1545862501901057, 0.25696589960716665, -0.04409323980410894, 0.028155008501137977, 0.0054223029693174695, -0.10899137741265198, 0.07650225141810046, 0.4201144453086373, -0.2561522898387112, -0.2268527491018176, -0.006012291767789672, -0.22428437794248263, -0.14440964952939087, 0.26096380412733805, 0.0035094528459012507, 0.05785481332697802, 0.003975799123549627, -0.07932641097706639, 0.09291459234017464, -0.1440714843545316, 0.2964171313887669, -0.011193266331166444, 0.33699978255770274, 0.0593940046583561, 0.10123707631395923, -0.02579190852896621, 0.10591316548590031, -0.06604056681195895, -0.10329079722157783, 0.06530621746917152, 0.20387625386938452, -0.03740216964441869, 0.26626572453727326, -0.47436454022924107, -0.253303965077632, 0.03667769568661849, 0.182282054106084, 0.17870536298820905, -0.09214744967046297, -0.3128370993667179, -0.059103298218299946, -0.10480850501658602, -0.15219726581643853, 0.023311982298683788, -0.008373367993368044, 0.04461563216949192, -0.23291822396632697, 0.08244302713105248, 0.125572600060453, 0.0860852393011252, -0.08014118870616788, -0.006816808272722281, -0.10942022916860879, 0.02732080979330931, -0.04595013613094731, -0.062392899399209355, 0.17251721660399602, -0.1738387417462137, -0.12680322836256688, 0.31153909921607315, -0.16173058794035267, -0.08582197569517626, 0.14004907143405743, -0.22647504961738985, -0.008106000138084508, 0.23210582505497668, 0.20790154589857493, 0.10502173833859464, -0.1313248644086545, 0.032312486008999664, 0.006574222132460111, 0.19535897848092848, 0.11161323889779548, 0.10893140070968205, 0.2450241455808282, 0.274095241422765, -0.011050469531781144, 0.21730282795098094, -0.08194536892179814, -0.09360004646910561, -0.25824563497056563, -0.08099121714217795, -0.16071278972344266, 0.038013329985551535, -0.07799295176098692, -0.1650108125888639, 0.44133491186528573, 0.07169760035143959, 0.1407009234238002, -0.010456258309972731, 0.2936070469311542, 0.2311872899118397, 0.04373147235148483, 0.004882211517542601, 0.3490843166390227, 0.18052188427601423, 0.13449096110545927, -0.37184000715302923, 0.04245604918784617, -0.02103422223072913] |
712.0285 | Forgetting of the initial condition for the filter in general
state-space hidden Markov chain: a coupling approach | We give simple conditions that ensure exponential forgetting of the initial
conditions of the filter for general state-space hidden Markov chain. The
proofs are based on the coupling argument applied to the posterior Markov
kernels. These results are useful both for filtering hidden Markov models using
approximation methods (e.g., particle filters) and for proving asymptotic
properties of estimators. The results are general enough to cover models like
the Gaussian state space model, without using the special structure that
permits the application of the Kalman filter.
| math.ST stat.TH | we give simple conditions that ensure exponential forgetting of the initial conditions of the filter for general statespace hidden markov chain the proofs are based on the coupling argument applied to the posterior markov kernels these results are useful both for filtering hidden markov models using approximation methods eg particle filters and for proving asymptotic properties of estimators the results are general enough to cover models like the gaussian state space model without using the special structure that permits the application of the kalman filter | [['we', 'give', 'simple', 'conditions', 'that', 'ensure', 'exponential', 'forgetting', 'of', 'the', 'initial', 'conditions', 'of', 'the', 'filter', 'for', 'general', 'statespace', 'hidden', 'markov', 'chain', 'the', 'proofs', 'are', 'based', 'on', 'the', 'coupling', 'argument', 'applied', 'to', 'the', 'posterior', 'markov', 'kernels', 'these', 'results', 'are', 'useful', 'both', 'for', 'filtering', 'hidden', 'markov', 'models', 'using', 'approximation', 'methods', 'eg', 'particle', 'filters', 'and', 'for', 'proving', 'asymptotic', 'properties', 'of', 'estimators', 'the', 'results', 'are', 'general', 'enough', 'to', 'cover', 'models', 'like', 'the', 'gaussian', 'state', 'space', 'model', 'without', 'using', 'the', 'special', 'structure', 'that', 'permits', 'the', 'application', 'of', 'the', 'kalman', 'filter']] | [-0.01527146938845844, 0.06386994476539685, -0.13336247090688524, 0.1335737597087727, -0.10852434952359866, -0.17704232501633027, 0.02433293821180568, 0.4412770557929488, -0.2709586787092335, -0.2677326109041186, 0.18936508710441344, -0.18438062114257583, -0.133010247705833, 0.20187626889057678, -0.03357657951248043, 0.13601924922755537, 0.09510348910904105, 0.023508190955309306, -0.07436626732130261, -0.24128288922502714, 0.3056504164480002, 0.061302050400306195, 0.279699101441485, -0.0501029830206843, 0.1401648239890004, 0.05321401841390659, -0.028063723691465224, -0.03956986766014084, -0.14880607537463006, 0.10529710747411146, 0.21988038875219096, 0.1393110207062872, 0.28787458243451136, -0.4139809821458424, -0.2145827533732004, 0.13289759034181342, 0.1207860824520193, 0.14490851775250013, 0.005134963467443253, -0.3362174699959509, 0.07099086787989911, -0.14287444979828948, -0.09782651413012954, -0.13829783983528615, -0.10691086586345644, 0.08496772807060658, -0.3543594238930382, 0.04106668747742386, 0.13719298945507036, 0.028983126969679314, -0.05415382125031422, -0.13914724813555093, -0.00933989574037054, 0.09222927011878175, 0.02506737288169782, -0.0963454112465329, 0.13127197593121845, -0.1299774064682424, -0.12759184107896598, 0.28340834394535597, -0.0763344742850784, -0.2634995180675212, 0.20713461224701912, -0.049489198920919616, -0.172244612834252, 0.12135450432542712, 0.16571873912916463, 0.12172967564752873, -0.14632801865022083, 0.12915892803644324, -0.0358589525512584, 0.13235201478442726, 0.01932718096958364, 0.045201850256553905, 0.13035601272576433, 0.1296811012112919, 0.09186268957222209, 0.15641940601498766, -0.07930932465447661, -0.17844824781367447, -0.33007558234693374, -0.11847322625381981, -0.17528726306250866, -0.021703779960379883, -0.16987357959134147, -0.21954353529521647, 0.3889552835977691, 0.21721561532571393, 0.16824221263146577, 0.12839310252491165, 0.23506690720644066, 0.15803885927752537, 0.02662314380354741, 0.08444496629757957, 0.16411344467059655, 0.19340917931540924, 0.06536411017398625, -0.1409715852481039, 0.1346006540417233, 0.10592780704062213] |
712.0286 | In-plane magnetic field phase diagram of superconducting Sr2RuO4 | We develop the Ginzburg - Landau theory of the upper critical field in the
basal plane of a tetragonal multiband metal in two-component superconducting
state. It is shown that typical for the two component superconducting state the
upper critical field basal plane anisotropy and the phase transition splitting
still exist in a multiband case. However, the value of anisotropy can be
effectively smaller than in the single band case. The results are discussed in
the application to the superconducting Sr2RuO4.
| cond-mat.supr-con cond-mat.str-el | we develop the ginzburg landau theory of the upper critical field in the basal plane of a tetragonal multiband metal in twocomponent superconducting state it is shown that typical for the two component superconducting state the upper critical field basal plane anisotropy and the phase transition splitting still exist in a multiband case however the value of anisotropy can be effectively smaller than in the single band case the results are discussed in the application to the superconducting sr2ruo4 | [['we', 'develop', 'the', 'ginzburg', 'landau', 'theory', 'of', 'the', 'upper', 'critical', 'field', 'in', 'the', 'basal', 'plane', 'of', 'a', 'tetragonal', 'multiband', 'metal', 'in', 'twocomponent', 'superconducting', 'state', 'it', 'is', 'shown', 'that', 'typical', 'for', 'the', 'two', 'component', 'superconducting', 'state', 'the', 'upper', 'critical', 'field', 'basal', 'plane', 'anisotropy', 'and', 'the', 'phase', 'transition', 'splitting', 'still', 'exist', 'in', 'a', 'multiband', 'case', 'however', 'the', 'value', 'of', 'anisotropy', 'can', 'be', 'effectively', 'smaller', 'than', 'in', 'the', 'single', 'band', 'case', 'the', 'results', 'are', 'discussed', 'in', 'the', 'application', 'to', 'the', 'superconducting', 'sr2ruo4']] | [-0.20132525818558009, 0.2021468359582079, -0.01716128823972201, 0.055264061064860204, -0.06495201845853767, -0.1007621314117237, 0.08935477573253639, 0.3528631673536346, -0.22530460626452783, -0.2793575414939772, 0.04889227714407246, -0.27986618601776, -0.12426704684673232, 0.2188653788894792, 0.05566693663219862, 0.0018522570239780825, -0.05607652627639001, 0.014892164305371196, -0.10716855049404446, -0.23759639107687044, 0.3368505299433217, -0.02830345915701193, 0.38234231036297883, 0.05327754942228711, -0.032230275376593766, -0.022107725349974027, 0.17143587429736612, 0.032100729821131956, -0.14851549647711998, 0.0450700587995315, 0.2905522643388072, -0.06779899891418746, 0.17272981646458938, -0.40666297434157206, -0.2298920070030432, 0.06300203019717732, 0.17747026583462766, 0.14354188374797755, -0.016131148019310416, -0.24615779351089387, 0.04390691401719858, -0.11602771725163713, -0.14419139800239592, -0.023027076857471015, -0.04201490876170559, -0.04809824320269584, -0.20671955203708214, 0.0938948612495125, 0.07041694749075966, 0.08679878734615101, -0.11814663417142214, -0.13730319015257345, -0.06380053761686329, 0.034101624660712634, 0.024235667280640593, 0.12862772262902766, 0.10525317218366868, -0.15238274797160603, -0.0467133090324417, 0.364983838004402, -0.046588521519465124, -0.11843739935680281, 0.11471727372536177, -0.20385799689300924, -0.10509408779937444, 0.16564272842782585, 0.10332450528829536, 0.04662928376582604, -0.10180954951675067, 0.09643051983815135, -0.029193569163355648, 0.17344302391704125, 0.0005283143100199066, 0.012482265087103919, 0.2265817217699759, 0.2014176063946908, 0.06476226362953835, 0.16341751225770132, -0.1620906049597867, -0.09695188175515519, -0.2584891604330343, -0.17139972090025585, -0.1995650078965752, 0.0037186236114865995, -0.09202515402248077, -0.20369632200365945, 0.39570224828593714, 0.17192743548274605, 0.1870441031465425, -0.07796941497186317, 0.25568348933836516, 0.1553464676666109, 0.05751166881734057, 0.06692336837737527, 0.32684581283527087, 0.17692193581097865, 0.0911897586988686, -0.2430340267734048, 0.05464517001557765, 0.026861027687717275] |
712.0287 | Hadronic production of top-squark pairs with electroweak NLO
contributions | Presented are complete next-to-leading order electroweak (NLO EW) corrections
to top-squark pair production at the Large Hadron Collider (LHC) within the
Minimal Supersymmetric Standard Model (MSSM). At this order, also effects from
the interference of EW and QCD contributions have to be taken into account.
Moreover, photon-induced top-squark production is considered as an additional
partonic channel, which arises from the non-zero photon density in the proton.
| hep-ph | presented are complete nexttoleading order electroweak nlo ew corrections to topsquark pair production at the large hadron collider lhc within the minimal supersymmetric standard model mssm at this order also effects from the interference of ew and qcd contributions have to be taken into account moreover photoninduced topsquark production is considered as an additional partonic channel which arises from the nonzero photon density in the proton | [['presented', 'are', 'complete', 'nexttoleading', 'order', 'electroweak', 'nlo', 'ew', 'corrections', 'to', 'topsquark', 'pair', 'production', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'within', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'at', 'this', 'order', 'also', 'effects', 'from', 'the', 'interference', 'of', 'ew', 'and', 'qcd', 'contributions', 'have', 'to', 'be', 'taken', 'into', 'account', 'moreover', 'photoninduced', 'topsquark', 'production', 'is', 'considered', 'as', 'an', 'additional', 'partonic', 'channel', 'which', 'arises', 'from', 'the', 'nonzero', 'photon', 'density', 'in', 'the', 'proton']] | [-0.02549593849107623, 0.26105338215292606, -0.08646064411820562, 0.1935850678886654, -0.031167997071999267, -0.12887813002982346, -0.03173955848835634, 0.3208686831957576, -0.20149456620724362, -0.24225493955115476, -0.031214237578255546, -0.3636081369071634, 0.10982463103860166, 0.05238453416986334, 0.10311148875519972, 0.12232044354702036, 0.06661560842908468, -0.02810060265332912, -0.01016424357834639, -0.257127510976385, 0.2968942236338714, 0.06179578440038092, 0.14988029940110265, 0.23959046245242158, 0.06177790906054504, 0.029440534604487544, -0.04888974721225994, -0.05404338299889456, -0.10271197364305738, 0.03111360136024428, 0.2703497345615743, 0.0018654820636253464, 0.08822433456468086, -0.3510029348968105, -0.11760867326379273, 0.1477979158305309, 0.14518478040752764, 0.1548585210253033, -0.022113911468874325, -0.30037337950797693, 0.12356139459139244, -0.30995643893821223, -0.08228823948990215, -0.03483507370181156, -0.07786651091142134, -0.14927123264042716, -0.3841730188578367, 0.04713697666893219, -0.08470377562370038, -0.010858543972117883, 0.091077021986359, -0.20738975263101925, -0.14230543796932607, 0.020671522428253382, 0.14996495235280952, 0.05822669164362279, 0.17176172094574818, -0.21375306431472188, -0.22006466610808717, 0.463379035675616, -0.05519810773672141, -0.12978648944673213, 0.09378215815311043, -0.21434982734816996, -0.16156073838161925, 0.24896770643747665, 0.28981577228246763, 0.028286581118608767, -0.19815899701224585, 0.19716067726381659, 0.050237626209502305, 0.17915636737774493, 0.06283257730573302, 0.12757309870159422, 0.22255313179145256, 0.18860175758318015, -0.015211814446515884, 0.06861523822281566, -0.07192916462593006, -0.11751358154596704, -0.5723015997897495, -0.07043244383495414, -0.04090952269281402, 0.04283779788106172, -0.08528821528020533, -0.09071849774795049, 0.3333044045774097, 0.1426993472656856, 0.24253727377138354, 0.021227827875973715, 0.3727763134308837, 0.1514590004384941, 0.1257574243570685, 0.021513984641580573, 0.32277992866566463, 0.1281219974555301, 0.12104853152325659, -0.27349620338910346, -0.005244364475154064, 0.09302580345661915] |
712.0288 | Gemini GMOS IFU Spectroscopy of IRAS 04505-2958: A New Exploding BAL +
IR + Fe II QSO | New results of a Programme of study of BAL + IR + Fe II QSOs (at low and high
redshift) are presented. Which are based mainly on deep Gemini GMOS integral
field unit (IFU/3D) spectroscopy. We have performed a detailed study of the
kinematics, morphological, and physical conditions, in the BAL + IR + Fe II
QSO: IRAS 04505-2958. From this study, some selected results are presented,
mainly for the 3 expanding giant shells (observed with Gemini). In particular,
the GMOS data suggest that the outflow (OF) process -in this IR QSO- generated
multiple expanding hypergiant shells (from 10, to 100 kpc), in several extreme
explosive events. These new Gemini GMOS data are in good agreement with our
evolutionary, explosive and composite Model: where part of the ISM of the host
galaxy is ejected in the form of multiple giant shells, mainly by HyN
explosions. This process could generate satellite/companion galaxies, and even
could expel a high fraction -or all- the host galaxy. In addition, this Model
for AGN could give important clue about the physical processes that could
explain the origin -in AGNs- of very energetic cosmic rays, detected by the P.
Auger Observatory.
| astro-ph | new results of a programme of study of bal ir fe ii qsos at low and high redshift are presented which are based mainly on deep gemini gmos integral field unit ifu3d spectroscopy we have performed a detailed study of the kinematics morphological and physical conditions in the bal ir fe ii qso iras 045052958 from this study some selected results are presented mainly for the 3 expanding giant shells observed with gemini in particular the gmos data suggest that the outflow of process in this ir qso generated multiple expanding hypergiant shells from 10 to 100 kpc in several extreme explosive events these new gemini gmos data are in good agreement with our evolutionary explosive and composite model where part of the ism of the host galaxy is ejected in the form of multiple giant shells mainly by hyn explosions this process could generate satellitecompanion galaxies and even could expel a high fraction or all the host galaxy in addition this model for agn could give important clue about the physical processes that could explain the origin in agns of very energetic cosmic rays detected by the p auger observatory | [['new', 'results', 'of', 'a', 'programme', 'of', 'study', 'of', 'bal', 'ir', 'fe', 'ii', 'qsos', 'at', 'low', 'and', 'high', 'redshift', 'are', 'presented', 'which', 'are', 'based', 'mainly', 'on', 'deep', 'gemini', 'gmos', 'integral', 'field', 'unit', 'ifu3d', 'spectroscopy', 'we', 'have', 'performed', 'a', 'detailed', 'study', 'of', 'the', 'kinematics', 'morphological', 'and', 'physical', 'conditions', 'in', 'the', 'bal', 'ir', 'fe', 'ii', 'qso', 'iras', '045052958', 'from', 'this', 'study', 'some', 'selected', 'results', 'are', 'presented', 'mainly', 'for', 'the', '3', 'expanding', 'giant', 'shells', 'observed', 'with', 'gemini', 'in', 'particular', 'the', 'gmos', 'data', 'suggest', 'that', 'the', 'outflow', 'of', 'process', 'in', 'this', 'ir', 'qso', 'generated', 'multiple', 'expanding', 'hypergiant', 'shells', 'from', '10', 'to', '100', 'kpc', 'in', 'several', 'extreme', 'explosive', 'events', 'these', 'new', 'gemini', 'gmos', 'data', 'are', 'in', 'good', 'agreement', 'with', 'our', 'evolutionary', 'explosive', 'and', 'composite', 'model', 'where', 'part', 'of', 'the', 'ism', 'of', 'the', 'host', 'galaxy', 'is', 'ejected', 'in', 'the', 'form', 'of', 'multiple', 'giant', 'shells', 'mainly', 'by', 'hyn', 'explosions', 'this', 'process', 'could', 'generate', 'satellitecompanion', 'galaxies', 'and', 'even', 'could', 'expel', 'a', 'high', 'fraction', 'or', 'all', 'the', 'host', 'galaxy', 'in', 'addition', 'this', 'model', 'for', 'agn', 'could', 'give', 'important', 'clue', 'about', 'the', 'physical', 'processes', 'that', 'could', 'explain', 'the', 'origin', 'in', 'agns', 'of', 'very', 'energetic', 'cosmic', 'rays', 'detected', 'by', 'the', 'p', 'auger', 'observatory']] | [-0.05789138721500305, 0.09424474577300568, -0.055956704410763974, 0.10405025525062925, -0.10154666341444914, -0.08485402242389527, 0.004592131786147489, 0.45434121520040516, -0.1451086493251112, -0.329473706953069, 0.08118902798989748, -0.3070862018800479, -0.05654179811740215, 0.1791530267398636, -0.0032531153113442533, -0.057562953525004866, 0.08029501020869344, -0.10504798364746286, 0.00040670642525544686, -0.27285521100968757, 0.32338310186528263, 0.12007739724689832, 0.18367903733853885, -0.016019597429128243, 0.07591423447655038, -0.1008558923532156, -0.09891286810972738, -0.037100513370341044, -0.11850116721224696, 0.08291688262598906, 0.2648337170061534, 0.13264338137889084, 0.23903397207663574, -0.39407348233161177, -0.21199602835521875, 0.031141965325545282, 0.21768915389436594, 0.02191405850007481, -0.11044356846461131, -0.27305767496433503, 0.07603849321102199, -0.16297734378121218, -0.17385989254677392, 0.07093233265914023, -0.009783116017562397, 0.06738534247461815, -0.21450685509579612, 0.08625445332987472, 0.009098565235654724, 0.12838428913358044, -0.13575542810932792, -0.10105000541017867, -0.05893716683977858, 0.06406857226256955, 0.03308202173936112, 0.056021706276062996, 0.16404376177927182, -0.1497752251623055, -0.05065694763671924, 0.3880811981321808, -0.05270617324214904, 0.04114515107977105, 0.25152510158473657, -0.25210324645617066, -0.2190209657667165, 0.18273275870175915, 0.19599062112219473, 0.12743369099049967, -0.19466256026038187, 0.024322665146796003, -0.037908350471704405, 0.16821443395902144, -0.002379657047988966, 0.08351699757850896, 0.2817162006741707, 0.09545011227786977, -0.03409033827855192, 0.09916453189687169, -0.21057859550235158, -0.024800953992761353, -0.27398375561027394, -0.13104569104046837, -0.13272571152118232, 0.10527118659043248, -0.1400846735759455, -0.10754051754756415, 0.31364369602314135, 0.1134113707465734, 0.2471279265715721, -0.03823576581805568, 0.26199265166453306, 0.036453507283326, 0.0854230757389079, 0.07058642866545693, 0.32124917666713254, 0.11369116572499711, 0.12906717342767923, -0.22066182427682934, 0.06604164845973967, 0.025395430153869886] |
712.0289 | Triggering of merger-induced starbursts by the tidal field of galaxy
groups and clusters | Star formation in galaxies is for a part driven by galaxy mergers. At low
redshift, star formation activity is low in high-density environments like
groups and clusters, and the star formation activity of galaxies increases with
their isolation. This star formation-density relation is observed to be
reversed at z~1, which is not explained by theoretical models so far. We study
the influence of the tidal field of a galaxy group or cluster on the star
formation activity of merging galaxies, using N-body simulations including gas
dynamics and star formation. We find that the merger-driven star formation is
significantly more active in the vicinity of such cosmological structures
compared to mergers in the field. The large-scale tidal field can thus enhance
the activity of galaxies in dense cosmic structures, and should be particularly
efficient at high redshift before quenching processes take effect in the
densest regions.
| astro-ph | star formation in galaxies is for a part driven by galaxy mergers at low redshift star formation activity is low in highdensity environments like groups and clusters and the star formation activity of galaxies increases with their isolation this star formationdensity relation is observed to be reversed at z1 which is not explained by theoretical models so far we study the influence of the tidal field of a galaxy group or cluster on the star formation activity of merging galaxies using nbody simulations including gas dynamics and star formation we find that the mergerdriven star formation is significantly more active in the vicinity of such cosmological structures compared to mergers in the field the largescale tidal field can thus enhance the activity of galaxies in dense cosmic structures and should be particularly efficient at high redshift before quenching processes take effect in the densest regions | [['star', 'formation', 'in', 'galaxies', 'is', 'for', 'a', 'part', 'driven', 'by', 'galaxy', 'mergers', 'at', 'low', 'redshift', 'star', 'formation', 'activity', 'is', 'low', 'in', 'highdensity', 'environments', 'like', 'groups', 'and', 'clusters', 'and', 'the', 'star', 'formation', 'activity', 'of', 'galaxies', 'increases', 'with', 'their', 'isolation', 'this', 'star', 'formationdensity', 'relation', 'is', 'observed', 'to', 'be', 'reversed', 'at', 'z1', 'which', 'is', 'not', 'explained', 'by', 'theoretical', 'models', 'so', 'far', 'we', 'study', 'the', 'influence', 'of', 'the', 'tidal', 'field', 'of', 'a', 'galaxy', 'group', 'or', 'cluster', 'on', 'the', 'star', 'formation', 'activity', 'of', 'merging', 'galaxies', 'using', 'nbody', 'simulations', 'including', 'gas', 'dynamics', 'and', 'star', 'formation', 'we', 'find', 'that', 'the', 'mergerdriven', 'star', 'formation', 'is', 'significantly', 'more', 'active', 'in', 'the', 'vicinity', 'of', 'such', 'cosmological', 'structures', 'compared', 'to', 'mergers', 'in', 'the', 'field', 'the', 'largescale', 'tidal', 'field', 'can', 'thus', 'enhance', 'the', 'activity', 'of', 'galaxies', 'in', 'dense', 'cosmic', 'structures', 'and', 'should', 'be', 'particularly', 'efficient', 'at', 'high', 'redshift', 'before', 'quenching', 'processes', 'take', 'effect', 'in', 'the', 'densest', 'regions']] | [-0.09712767866560547, 0.13038289230316877, -0.07148331194024148, 0.13259064176858498, -0.09793710531506301, 0.03585272452569213, -0.00351540922540529, 0.4380701017020078, -0.16234171005961454, -0.32908272293621094, 0.05735272583230559, -0.2508459645255212, -0.06898045211805609, 0.16357068760352658, 0.008356314746598745, -0.09519133152568648, 0.048414175930143945, -0.038055823043245694, -0.022456197777626523, -0.31151859030400497, 0.32585634897816285, 0.1279295526958745, 0.17688686916733096, -0.03232478735454637, 0.02586480169958467, -0.09883428504690528, -0.05951708840077807, 0.001557634963557638, -0.16662162428522073, -0.03420957800859971, 0.25573976201053955, 0.12383628524518732, 0.25956968820557513, -0.41851792439561464, -0.25372897312045095, 0.05306351291063916, 0.24043278390991277, 0.08474896934911094, -0.16538418306906885, -0.25310794413089754, 0.10344847917299846, -0.214449275572431, -0.11216856502638808, 0.06847035142850003, 0.03149933721147606, 0.037478786348846965, -0.23166991206014464, 0.1998254171990115, 0.03815054381908528, 0.05812807617837499, -0.08495181193254117, 0.016497945364821572, -0.07405838923014957, 0.1051556025559468, -0.013213265131645162, 0.11427183453924954, 0.2785340561756286, -0.21793344409911541, -0.0435725588062457, 0.44435943000275513, -0.027688433323055504, -0.020081229893297983, 0.2918805696953345, -0.27074432448837266, -0.22511124016239373, 0.10483016613228567, 0.1926132090132812, 0.1109885914684755, -0.11671528523338252, -0.02515476026596373, 0.06135093964122493, 0.1471820533211375, 0.02615836451054904, 0.0275019227015256, 0.3814725125433299, 0.17079223384759548, 0.04996979818839965, 0.09485548828439466, -0.13317543213769537, -0.055371410921537155, -0.16652204902393036, -0.07118345990552213, -0.1352700283429746, 0.06586731919418651, -0.13198546692367708, -0.08676178249658953, 0.31836257426967396, 0.05794350288101825, 0.22241210469911837, 0.036666260707063664, 0.2831351251823121, 0.08114845201630017, 0.14450332345280412, 0.1116553762510162, 0.30041136023556364, 0.18065023091139978, 0.03490133768204471, -0.29778550051088476, 0.11377863536492504, -0.006852286660658388] |
712.029 | Predicting the Growth of Two-Dimensional Nanostructures | The ability to predict the morphology of crystals formed by chemical
reactions is of fundamental importance for the shape-controlled synthesis of
nanostructures. Based on the atomistic mechanism for crystal growth under
different driving forces, we have developed morphology diagrams to predict
regimes for the growth of two-dimensional crystals. By using controlled
reactions for crystal growth in the absence of surfactants/capping agents, we
demonstrate the validity of this approach for the formation of 2-D structures
of Au, Ag, Pt, Pd and hydroxyapatite.
| cond-mat.mtrl-sci | the ability to predict the morphology of crystals formed by chemical reactions is of fundamental importance for the shapecontrolled synthesis of nanostructures based on the atomistic mechanism for crystal growth under different driving forces we have developed morphology diagrams to predict regimes for the growth of twodimensional crystals by using controlled reactions for crystal growth in the absence of surfactantscapping agents we demonstrate the validity of this approach for the formation of 2d structures of au ag pt pd and hydroxyapatite | [['the', 'ability', 'to', 'predict', 'the', 'morphology', 'of', 'crystals', 'formed', 'by', 'chemical', 'reactions', 'is', 'of', 'fundamental', 'importance', 'for', 'the', 'shapecontrolled', 'synthesis', 'of', 'nanostructures', 'based', 'on', 'the', 'atomistic', 'mechanism', 'for', 'crystal', 'growth', 'under', 'different', 'driving', 'forces', 'we', 'have', 'developed', 'morphology', 'diagrams', 'to', 'predict', 'regimes', 'for', 'the', 'growth', 'of', 'twodimensional', 'crystals', 'by', 'using', 'controlled', 'reactions', 'for', 'crystal', 'growth', 'in', 'the', 'absence', 'of', 'surfactantscapping', 'agents', 'we', 'demonstrate', 'the', 'validity', 'of', 'this', 'approach', 'for', 'the', 'formation', 'of', '2d', 'structures', 'of', 'au', 'ag', 'pt', 'pd', 'and', 'hydroxyapatite']] | [-0.05277577092201682, 0.12577139015775174, -0.07573049573693424, -0.013283116760430858, -0.005473307892680168, -0.0698700220673345, 0.05104376349481754, 0.4185582624922972, -0.2624622727511451, -0.28498580139130353, 0.011971125011041295, -0.21832846489269286, -0.1407277389545925, 0.18853613410610706, 0.04345474615693092, 0.05777561904396862, -0.006517946510575712, -0.0882328388048336, -0.031181858319905588, -0.2089513630809961, 0.32883836425316987, 0.05543999761575833, 0.3318218376021832, 0.08407229561926215, 0.07377471927902661, 0.021774306253064424, 0.08141813138499857, -0.013878178349114024, -0.21681668416713365, 0.14746102126664482, 0.21778238460829016, -0.008262878452660516, 0.2071656724147033, -0.5014639334054664, -0.26998771583239434, -0.011515509989112615, 0.1244086695369333, 0.12207008930854499, -0.14633921779022785, -0.22250016261823474, 0.1358287843875587, -0.11598740127810743, -0.13088931697420775, -0.04216964174847817, 0.013834089686861261, 0.06367411060418818, -0.2544948160124477, 0.06617471006466076, 0.053513311306596735, 0.11549744543153792, -0.1184973481373163, -0.07363001808116679, -0.09880494313547387, 0.12998192763043334, -0.014695359594770706, -0.06310128929908387, 0.21696579597191884, -0.1408612615749007, -0.13692292821651791, 0.4259334230562672, -0.016764548025093973, -0.1497548682615161, 0.23516500675177668, -0.16835834379307926, -0.10470020431093871, 0.14905588317196816, 0.19306954820494865, 0.1243813868786674, -0.1366058685001917, 0.055445870907715286, 0.058267542789690194, 0.17328032061923296, 0.09763092130888254, -0.013481950387358665, 0.2102521710563451, 0.26356045186985283, -0.03319362389629532, 0.1380287005798891, -0.09774490340496414, -0.07640287573449314, -0.18980170828290283, -0.18966632451629267, -0.1738757195416838, 0.03897595406342589, -0.07336846054950001, -0.1653271832765313, 0.3813304319512099, 0.09963506977073848, 0.15362126567160886, -0.022562475048471243, 0.1692168354522437, 0.035292420943733305, 0.09890647659776733, -0.05056702869478613, 0.2630183210130781, 0.15981369815417565, 0.08067906086798757, -0.3045698184811044, 0.16298854351480258, 0.04374120715074241] |
712.0291 | A proof for the informational completeness of the rotated quadrature
observables | We give a new mathematically rigorous proof for the fact that, when $S$ is a
dense subset of $[0,2\pi)$, the rotated quadrature operators $Q_\theta$,
$\theta\in S$, of a single mode electromagnetic field constitute an
informationally complete set of observables.
| quant-ph | we give a new mathematically rigorous proof for the fact that when s is a dense subset of 02pi the rotated quadrature operators q_theta thetain s of a single mode electromagnetic field constitute an informationally complete set of observables | [['we', 'give', 'a', 'new', 'mathematically', 'rigorous', 'proof', 'for', 'the', 'fact', 'that', 'when', 's', 'is', 'a', 'dense', 'subset', 'of', '02pi', 'the', 'rotated', 'quadrature', 'operators', 'q_theta', 'thetain', 's', 'of', 'a', 'single', 'mode', 'electromagnetic', 'field', 'constitute', 'an', 'informationally', 'complete', 'set', 'of', 'observables']] | [-0.23116168305755425, 0.14308998377087753, -0.08302101894066884, -0.010164449931695484, -0.10699526280857241, -0.1334999770236512, 0.08350132246955465, 0.33554955533681774, -0.23912295231070274, -0.1481410436427746, 0.05179136430319303, -0.2744714038876387, -0.0839119761561354, 0.208390102817271, -0.051258898842020124, 0.030352670651597854, 0.08722958317360817, 0.08233382140931028, -0.06316955926684806, -0.1992800793109032, 0.30609899424971676, -0.05222330930141302, 0.21439352770073292, -0.005589675253782517, 0.11650345214188863, 0.0440865219451296, -0.006739982045613802, 0.02423392662193435, -0.12238026184170919, 0.09464717439065377, 0.225568948361354, 0.18350469489963964, 0.25930673055923903, -0.37972523038012856, -0.12568421269026706, 0.16684010347876793, 0.12019700610723633, 0.07751835185365799, -0.02470207435843081, -0.2923766292918187, 0.05036387042118571, -0.10489335637062024, -0.1608984235029381, -0.13233794540596697, 0.10566152564476794, -0.05444980226457119, -0.36688026661674183, 0.05595047726558569, 0.07471536610944149, 0.08421177363906725, 0.01887324147929366, -0.11284020316237822, 0.0013380265520073664, 0.038019921914942995, -0.07022353551255013, 0.11180816934658931, 0.04907326713108864, -0.04167002654419495, -0.09720628063839215, 0.351865108578633, -0.022007868756564, -0.28204857032650554, 0.05400307130259581, -0.16994686921437582, -0.10925346832626905, 0.15819205936545935, 0.09452802401322585, 0.19068971887612954, -0.16454563322902407, 0.11305186190666297, -0.1810673886241439, 0.16600114995470414, 0.06079589119419838, 0.10824239840104173, 0.2057849053436747, 0.10749953963125172, 0.1517660413415004, 0.11204195538392434, -0.01232142727344464, -0.02747247351381259, -0.4680370236627566, -0.15762889880137756, -0.1978927526931959, 0.12005108616386469, -0.09715538759953163, -0.26905184105420726, 0.3772911224514246, 0.0520597742154048, 0.181161022076431, 0.03866113746204437, 0.26659380310238934, 0.11681356634205887, -0.0020229073408513498, 0.05723922891924397, 0.21378070856325138, 0.1856839952465051, 0.02279703916074374, -0.11877486421368443, -0.023801220330194786, 0.08816676711042722] |
712.0292 | An algorithm for evaluating the Gamma function and ramifications | We provide a new algorithm for evaluating the gamma function at any
(rational) point and a new infinite product representation free from the
presence of Euler and Mascheroni constant.Formulae and inequalities seemingly
new are obtained as byproducts of the method.
| math.CA | we provide a new algorithm for evaluating the gamma function at any rational point and a new infinite product representation free from the presence of euler and mascheroni constantformulae and inequalities seemingly new are obtained as byproducts of the method | [['we', 'provide', 'a', 'new', 'algorithm', 'for', 'evaluating', 'the', 'gamma', 'function', 'at', 'any', 'rational', 'point', 'and', 'a', 'new', 'infinite', 'product', 'representation', 'free', 'from', 'the', 'presence', 'of', 'euler', 'and', 'mascheroni', 'constantformulae', 'and', 'inequalities', 'seemingly', 'new', 'are', 'obtained', 'as', 'byproducts', 'of', 'the', 'method']] | [-0.07829099924614032, 0.0774690212490849, -0.14472135727126628, 0.0667404224140904, -0.06874440652198899, -0.158739037405795, 0.07912874704776093, 0.2934827277293572, -0.304480544410837, -0.286749536696917, 0.0887665029686804, -0.25593336064440125, -0.1766644884378482, 0.27407782457959956, -0.010652195495099593, 0.040855738859719194, 0.04153190383639855, 0.051503581706082255, -0.12082272242659177, -0.19698733382691175, 0.37371819000691175, -0.02126178279137, 0.19492144506567946, 0.08975589358343337, 0.155980543878216, 0.02561072309095508, -0.04965636439812489, 0.016771595280330915, -0.14734289159950537, 0.13807048803816238, 0.19942125852386922, 0.13725917195328152, 0.25357666888680214, -0.3556445363240364, -0.16445402736560658, 0.1377803730802276, 0.12629284087616283, 0.07682794496082725, -0.08447138556780723, -0.27643577305552286, 0.07630930710822725, -0.17007340524250117, -0.17337331853998014, -0.10315499607569133, -0.03388565788284326, 0.0679465137505665, -0.30764869746202844, 0.05569030443588511, 0.022775125856965017, 0.07394730655822712, -0.09663638884488207, -0.17124493587284517, 0.0478090245802051, 0.14573992375666514, 0.02817770343226118, 0.03794334049169452, 0.03913034896294658, -0.12400025844526215, -0.1356133337562474, 0.3424880417684714, -0.06566632070984596, -0.229794603987382, 0.17859653686770263, -0.10401776674179694, -0.170422691016052, 0.16051524801132006, 0.1461707488872493, 0.15629819312538856, -0.10292341978026506, 0.09119469790200058, -0.07324138117763095, 0.045876055237246104, 0.07249022861465047, 0.013093148071605425, 0.15268096005400786, 0.08456856919786869, 0.09178831497541605, 0.1741948578811179, -0.04892017274426344, -0.034447901691190705, -0.3959325722012764, -0.246687084579697, -0.18327143396704626, 0.06317929149820255, -0.15287429044054499, -0.21526039798911184, 0.36662032569830233, 0.0687497271081576, 0.16587262318875545, 0.10584691614031982, 0.24911393292057207, 0.16604253615981016, 0.03604107561449592, 0.07115104016012107, 0.132972942187618, 0.1067630086416522, 0.032231688391990386, -0.11860947682856558, 0.05505291591637219, 0.16389229219072524] |
712.0293 | Statistical physics for cosmic structures | The recent observations of galaxy and dark matter clumpy distributions have
provided new elements to the understating of the problem of cosmological
structure formation. The strong clumpiness characterizing galaxy structures
seems to be present in the overall mass distribution and its relation to the
highly isotropic Cosmic Microwave Background Radiation represents a fundamental
problem. The extension of structures, the formation of power-law correlations
characterizing the strongly clustered regime and the relation between dark and
visible matter are the key problems both from an observational and a
theoretical point of view. We discuss recent progresses in the studies of
structure formation by using concepts and methods of statistical physics.
| cond-mat.stat-mech | the recent observations of galaxy and dark matter clumpy distributions have provided new elements to the understating of the problem of cosmological structure formation the strong clumpiness characterizing galaxy structures seems to be present in the overall mass distribution and its relation to the highly isotropic cosmic microwave background radiation represents a fundamental problem the extension of structures the formation of powerlaw correlations characterizing the strongly clustered regime and the relation between dark and visible matter are the key problems both from an observational and a theoretical point of view we discuss recent progresses in the studies of structure formation by using concepts and methods of statistical physics | [['the', 'recent', 'observations', 'of', 'galaxy', 'and', 'dark', 'matter', 'clumpy', 'distributions', 'have', 'provided', 'new', 'elements', 'to', 'the', 'understating', 'of', 'the', 'problem', 'of', 'cosmological', 'structure', 'formation', 'the', 'strong', 'clumpiness', 'characterizing', 'galaxy', 'structures', 'seems', 'to', 'be', 'present', 'in', 'the', 'overall', 'mass', 'distribution', 'and', 'its', 'relation', 'to', 'the', 'highly', 'isotropic', 'cosmic', 'microwave', 'background', 'radiation', 'represents', 'a', 'fundamental', 'problem', 'the', 'extension', 'of', 'structures', 'the', 'formation', 'of', 'powerlaw', 'correlations', 'characterizing', 'the', 'strongly', 'clustered', 'regime', 'and', 'the', 'relation', 'between', 'dark', 'and', 'visible', 'matter', 'are', 'the', 'key', 'problems', 'both', 'from', 'an', 'observational', 'and', 'a', 'theoretical', 'point', 'of', 'view', 'we', 'discuss', 'recent', 'progresses', 'in', 'the', 'studies', 'of', 'structure', 'formation', 'by', 'using', 'concepts', 'and', 'methods', 'of', 'statistical', 'physics']] | [-0.10730195353325042, 0.089508957235079, -0.12027086308053522, 0.10591416606351871, -0.08058705297083145, -0.031230297056026757, -0.017600417837793765, 0.3517536512679524, -0.27575683854175387, -0.34828497758738836, 0.03938388545281702, -0.27127509142479134, -0.10701516927306161, 0.17495514355875827, 0.01820007230681195, 0.023082892004620388, 0.0013408099508119954, -0.06813725256964702, -0.04933169903233647, -0.22166646534094103, 0.3601880106833522, 0.12663553335221, 0.26609373986731816, 0.04629487789632684, 0.05534334342357599, -0.054973585453505315, -0.11262409605465278, 0.005484788989027341, -0.17930501028766027, 0.131101938469025, 0.2006751463114698, 0.15542827268924425, 0.2270110349808992, -0.4073021274180738, -0.2777645113636498, 0.10055431604592337, 0.14060332158287228, 0.08872751346616833, -0.11138516030688253, -0.2821946298763915, 0.03623146327703984, -0.14653483490218167, -0.13422741285197576, 0.0031858794455830422, 0.0025746494540254826, 0.029461211240332987, -0.2063166133388963, 0.14208832908533858, 0.028208923825769925, 0.0037876420602616337, -0.08405182434836644, -0.06438905925110534, -0.006321617790187399, 0.09853686780358355, 0.0542417269596761, 0.013860931012055112, 0.1547446153514708, -0.23452612756820465, -0.10035999083926005, 0.4319343031728985, -0.045090229276360735, -0.08599856923575755, 0.214956215341334, -0.18609372901954446, -0.17598111316113285, 0.07792277910953595, 0.15495489344768296, 0.06894603399646089, -0.12616278262726996, 0.08585554122799766, -0.02966542753252994, 0.16709458215848794, -0.0015266446043150845, 0.06632891287881648, 0.34158712368527494, 0.1946677113150212, 0.03011973184766248, 0.08498760774899791, -0.1065086357325695, -0.07496173141731156, -0.2900728474724693, -0.08949434683071794, -0.14121322073818496, 0.022757768958669017, -0.12885480502505, -0.1500341173571845, 0.379205614910461, 0.10816632979765052, 0.2278899109568792, 0.003057192372917025, 0.2910936756266488, 0.04858739931067383, 0.008187157382188295, 0.05926615484619375, 0.29072234454280177, 0.21432803191149746, 0.0839401201271728, -0.22851600828451207, 0.072804036668795, -0.025957140955142677] |
712.0294 | The NUGA project: The Seyfert 2 galaxy NGC3147 | We present CO(1-0) and CO(2-1) maps of the Seyfert 2 galaxy NGC3147 of the
NUclei of GAlaxies (NUGA) sample at 1.8'' x 1.6'' and 1.4'' x 1.2'' resolution
respectively. Identifying the presence of a bar in NGC3147 we also compute the
gravity torques exerted from the stellar bar on the gas.
| astro-ph | we present co10 and co21 maps of the seyfert 2 galaxy ngc3147 of the nuclei of galaxies nuga sample at 18 x 16 and 14 x 12 resolution respectively identifying the presence of a bar in ngc3147 we also compute the gravity torques exerted from the stellar bar on the gas | [['we', 'present', 'co10', 'and', 'co21', 'maps', 'of', 'the', 'seyfert', '2', 'galaxy', 'ngc3147', 'of', 'the', 'nuclei', 'of', 'galaxies', 'nuga', 'sample', 'at', '18', 'x', '16', 'and', '14', 'x', '12', 'resolution', 'respectively', 'identifying', 'the', 'presence', 'of', 'a', 'bar', 'in', 'ngc3147', 'we', 'also', 'compute', 'the', 'gravity', 'torques', 'exerted', 'from', 'the', 'stellar', 'bar', 'on', 'the', 'gas']] | [-0.0750563181126399, 0.020049119002970996, -0.03345541006830685, 0.06038700564600089, -0.0018857748923348445, -0.03293106609078891, 0.046426096762183545, 0.41556014412758396, -0.11582681038143004, -0.3265700573284252, 0.037928129124053404, -0.339619787519469, -0.016767961612226916, 0.1434600156202328, 0.024999345387971283, -0.061987385080725536, -0.06627570787517756, -0.14013829858352742, -0.06794144539162517, -0.2676943207602473, 0.3366655355830695, 0.02794127326970007, 0.09278696192903262, -0.035404312625235204, 0.11685661724129436, -0.10466973441561647, -0.10652254404974919, -0.06717100436342698, -0.19315626402842065, 0.04815556561829997, 0.21627015111894876, 0.08136043596245787, 0.18539661859326503, -0.3245729348414256, -0.09712033664040706, 0.061780843007213926, 0.18948948049150846, 0.043853442549851594, -0.06490697413363367, -0.2968763604248856, 0.09777154189114477, -0.18827365156190068, -0.15465753649671873, 0.0946014167412239, 0.07718753157293096, 0.016565467751420596, -0.19334795722263118, 0.1508807000817101, 0.033913631220439486, 0.15860040752472832, -0.1343282728328132, -0.13628993762255298, -0.07218461776809658, 0.0749630411246828, -0.042663218343959135, 0.16465604108959145, 0.27448252283548025, -0.16399045500393009, -0.01034664674935972, 0.37467885773409815, -0.05648963979682794, -0.022312306488553684, 0.24564068121652977, -0.2844097085077973, -0.22059711235958865, 0.14616621631727206, 0.17739164761687612, 0.13402354241549677, -0.07364173784998118, 0.057372227719729295, -0.06998097251954616, 0.2535523566253045, 0.047752248671124965, 0.028056943346575068, 0.26310230835053305, 0.0663989825064645, 0.04151521233485683, 0.08492495994284457, -0.3338331548159248, 0.06095381756769676, -0.27624863923947307, -0.09507669172450608, -0.08888699738856624, 0.16127178208975523, -0.15090332357338446, -0.007590047357713475, 0.3218497748614526, 0.06773260922408571, 0.2550532555609357, 0.07952503326768968, 0.257267666501267, -0.014453724798216832, 0.06625519360543466, 0.14553247527310662, 0.28432544919790004, 0.20294052714883698, 0.050769936115316605, -0.28669032952565626, -0.02445790240102831, 0.014808079428678634] |
712.0295 | Liapunov's direct method for Birkhoffian systems: Applications to
electrical networks | In this paper, the concepts and the direct theorems of stability in the sense
of Liapunov, within the framework of Birkhoffian dynamical systems on
manifolds, are considered. The Liapunov-type functions are constructed for
linear and nonlinear LC and RLC electrical networks, to prove stability under
certain conditions.
| math.DS math.DG | in this paper the concepts and the direct theorems of stability in the sense of liapunov within the framework of birkhoffian dynamical systems on manifolds are considered the liapunovtype functions are constructed for linear and nonlinear lc and rlc electrical networks to prove stability under certain conditions | [['in', 'this', 'paper', 'the', 'concepts', 'and', 'the', 'direct', 'theorems', 'of', 'stability', 'in', 'the', 'sense', 'of', 'liapunov', 'within', 'the', 'framework', 'of', 'birkhoffian', 'dynamical', 'systems', 'on', 'manifolds', 'are', 'considered', 'the', 'liapunovtype', 'functions', 'are', 'constructed', 'for', 'linear', 'and', 'nonlinear', 'lc', 'and', 'rlc', 'electrical', 'networks', 'to', 'prove', 'stability', 'under', 'certain', 'conditions']] | [-0.17045875615957712, 0.061576366528040834, -0.05540143301089605, 0.0569430054191293, 0.0113521428209626, -0.11418064409711709, -0.00035090535206513273, 0.3328934621479776, -0.2899745860033565, -0.2208092663437128, 0.15199672796556518, -0.20577668466915686, -0.21260247195346488, 0.2374522607670062, -0.0741525378336923, 0.13128119762986898, 0.03458657322658433, 0.04393982899685701, -0.09853639183565974, -0.2371950156779753, 0.37964992804659736, -0.007258810227115949, 0.28498914817141163, 0.05787174976301483, 0.11337313443008397, -0.008092472050338983, 0.0024507294512457318, 0.04106692565191123, -0.16099228743049834, 0.1261177191614277, 0.27510949476725527, 0.07520222021784219, 0.2737750083208084, -0.45846188062181076, -0.21657444054467812, 0.10685582792179452, 0.05965600237250328, 0.051647240420182546, 0.016482678016958137, -0.27653333029399313, 0.15168805949182973, -0.08908625641423795, -0.1391963871402873, -0.105093042490383, -0.02967173493363791, 0.11798977963626385, -0.27716051722980206, 0.07104057309528192, 0.12279342165307348, 0.06886050172874497, -0.09890214148908853, -0.06719929014022151, -0.038976513966917994, 0.07818927595184909, 0.0035162211706240972, -0.09373592929914594, 0.12140766457758016, -0.11057977593089971, -0.11102901314540456, 0.35392040111538436, -0.03689438914621456, -0.2551716354779071, 0.18869763765898015, -0.08962130029168394, -0.1432280017218242, 0.03535959717507164, 0.1934078132112821, 0.12396472146113714, -0.1836349277653628, 0.10820287647786447, -0.020534095488902594, 0.10155561127596431, 0.07161904267656306, 0.08837346483228935, 0.13641851672695743, 0.1637649047291941, 0.09610959092775981, 0.14679274869461853, 0.02051469425463842, -0.12218354050483969, -0.3213708676811722, -0.12268213751829332, -0.09948352558745278, 0.021111636236310006, -0.08067709819717694, -0.19425687057276567, 0.4183839440345764, 0.08187900053130256, 0.14592474719716442, 0.10915138536753753, 0.2381474812825521, 0.15309705584206515, 0.023706459378202756, 0.039760533057981065, 0.2929537428749932, 0.22654596645798947, 0.12168616165096562, -0.18481667753334882, 0.02115481130571829, 0.11228429937942161] |
712.0296 | Failure of mean-field approach in out-of-equilibrium Anderson model | To explore the limitations of the mean field approximation, frequently used
in \textit{ab initio} molecular electronics calculations, we study an
out-of-equilibrium Anderson impurity model in a scattering formalism. We find
regions in the parameter space where both magnetic and non-magnetic solutions
are stable. We also observe a hysteresis in the non-equilibrium magnetization
and current as a function of the applied bias voltage. The mean field method
also predicts incorrectly local moment formation for large biases and a spin
polarized current, and unphysical kinks appear in various physical quantities.
The mean field approximation thus fails in every region where it predicts local
moment formation.
| cond-mat.str-el | to explore the limitations of the mean field approximation frequently used in textitab initio molecular electronics calculations we study an outofequilibrium anderson impurity model in a scattering formalism we find regions in the parameter space where both magnetic and nonmagnetic solutions are stable we also observe a hysteresis in the nonequilibrium magnetization and current as a function of the applied bias voltage the mean field method also predicts incorrectly local moment formation for large biases and a spin polarized current and unphysical kinks appear in various physical quantities the mean field approximation thus fails in every region where it predicts local moment formation | [['to', 'explore', 'the', 'limitations', 'of', 'the', 'mean', 'field', 'approximation', 'frequently', 'used', 'in', 'textitab', 'initio', 'molecular', 'electronics', 'calculations', 'we', 'study', 'an', 'outofequilibrium', 'anderson', 'impurity', 'model', 'in', 'a', 'scattering', 'formalism', 'we', 'find', 'regions', 'in', 'the', 'parameter', 'space', 'where', 'both', 'magnetic', 'and', 'nonmagnetic', 'solutions', 'are', 'stable', 'we', 'also', 'observe', 'a', 'hysteresis', 'in', 'the', 'nonequilibrium', 'magnetization', 'and', 'current', 'as', 'a', 'function', 'of', 'the', 'applied', 'bias', 'voltage', 'the', 'mean', 'field', 'method', 'also', 'predicts', 'incorrectly', 'local', 'moment', 'formation', 'for', 'large', 'biases', 'and', 'a', 'spin', 'polarized', 'current', 'and', 'unphysical', 'kinks', 'appear', 'in', 'various', 'physical', 'quantities', 'the', 'mean', 'field', 'approximation', 'thus', 'fails', 'in', 'every', 'region', 'where', 'it', 'predicts', 'local', 'moment', 'formation']] | [-0.12260749351088572, 0.1367391307909749, -0.08448818726555525, 0.1478105341174721, -0.012487906827003632, -0.08288797636706273, 0.0613073629849292, 0.3771319783211333, -0.2635636137599505, -0.2962505991199931, 0.01889760572761659, -0.2449091085802438, -0.1527240889675879, 0.1524826206529097, 0.019067914493877024, 0.030855930139066526, -0.024158153393604224, 0.0046177081146630125, -0.08259326419386182, -0.19964923551848646, 0.25645686162509096, -0.0058188792815413865, 0.275091320656023, 0.08053303784939451, 0.04998961529605208, 0.014463097996358733, 0.055620096020346274, 0.0822081302687666, -0.15951322701768678, 0.02082538527879611, 0.22563046336318682, -0.020151052325602294, 0.2502912480420279, -0.4712603703552057, -0.22066167486126273, 0.060670928957248196, 0.151128537934816, 0.19271596652247663, -0.07026148419284704, -0.24283189608634098, 0.02736210926137503, -0.1477879317097583, -0.15700506524734417, -0.11425797796120994, 0.016015651643737354, 0.047757480996525256, -0.2917577223761857, 0.1214767429764039, 0.010678974843755799, 0.0670395890352948, -0.12127807172178065, -0.10993528184797434, -0.024184033162756236, 0.06411906922246258, 0.04322774152981244, 0.0871577107899108, 0.20790878259203877, -0.1652827908214887, -0.08914475677336015, 0.33582127378186555, -0.0955751218078025, -0.17107344777278097, 0.1428703358622937, -0.21370832168144507, -0.12752455666896353, 0.1286743853153046, 0.12836847446623792, 0.12053535029504593, -0.1461786758064211, 0.10899852063434506, 0.013693003589739499, 0.14222667902680927, 0.004551027842697878, -0.0017226385664719257, 0.25547256401188456, 0.15034151597183595, 0.05378392157461313, 0.10721225968055717, -0.16192029243859563, -0.12939990926940825, -0.2807217187347632, -0.13434281221394415, -0.17051023702381304, 0.04425273351913806, -0.06651420238850529, -0.2216207574944473, 0.3992787443815721, 0.21385603712292986, 0.18262446206967228, -0.013770087604022142, 0.2897276168200866, 0.14148798588215764, 0.03576066488743696, 0.08465463311402398, 0.24196649010935165, 0.18999840865517487, 0.09566745604162366, -0.2928992167332219, 0.06626782622086608, 0.016166753411401533] |
712.0297 | Lower bounds on the squashed entanglement for multi-party systems | Squashed entanglement is a promising entanglement measure that can be
generalized to multipartite case, and it has all of the desirable properties
for a good entanglement measure. In this paper we present computable lower
bounds to evaluate the multipartite squashed entanglement. We also derive some
inequalities relating the squashed entanglement to the other entanglement
measure.
| quant-ph | squashed entanglement is a promising entanglement measure that can be generalized to multipartite case and it has all of the desirable properties for a good entanglement measure in this paper we present computable lower bounds to evaluate the multipartite squashed entanglement we also derive some inequalities relating the squashed entanglement to the other entanglement measure | [['squashed', 'entanglement', 'is', 'a', 'promising', 'entanglement', 'measure', 'that', 'can', 'be', 'generalized', 'to', 'multipartite', 'case', 'and', 'it', 'has', 'all', 'of', 'the', 'desirable', 'properties', 'for', 'a', 'good', 'entanglement', 'measure', 'in', 'this', 'paper', 'we', 'present', 'computable', 'lower', 'bounds', 'to', 'evaluate', 'the', 'multipartite', 'squashed', 'entanglement', 'we', 'also', 'derive', 'some', 'inequalities', 'relating', 'the', 'squashed', 'entanglement', 'to', 'the', 'other', 'entanglement', 'measure']] | [-0.12515979370271618, 0.1382655966180292, -0.14380111325193534, 0.13713487915334885, -0.02125262905081565, -0.2567297815768556, 0.019740542317528954, 0.32710887962444263, -0.17878925528969955, -0.2207947857000611, 0.0932537498185411, -0.31996847064318984, -0.1265359486707232, 0.20492339698513123, -0.12216698452830314, 0.16922101520679214, 0.013505911810154264, 0.06887674632439898, -0.10672250161032108, -0.2894051967358047, 0.3227260729128664, 0.0471031703457067, 0.33506927508014167, 0.20799316050146113, 0.0653849226676605, -0.06294178669764237, 0.04300442234697667, 0.04075586562129584, -0.26197619044118753, 0.16440767852420157, 0.2649548913267526, 0.23475595228374005, 0.18542934671383013, -0.3336899679154158, -0.1934928553009575, 0.22383725878528574, 0.12306503912603313, 0.1516515174033967, 0.00012310438535430214, -0.31728748245249416, 0.0012732470090585676, -0.2096614343198863, -0.10875252561474388, -0.1737557490779595, 0.029883693099360575, -0.1246372108601711, -0.22901702865280887, 0.12839485286174088, 0.03254481933333657, -0.014404415523379364, 0.03282806836915287, 0.04521139235320416, -0.034648381512273445, 0.15316131166605787, -0.027292101478881458, 0.0283507715402679, 0.09036944527179003, -0.053358439244832634, -0.15942651422863657, 0.29854279665107075, -0.07782754149626601, -0.2791871043430133, 0.18614158061417665, -0.16864944956350056, -0.19734492430632763, -0.020249903955581513, 0.15260815198787234, 0.14605320719155399, -0.15502808383581312, 0.024372413524807516, -0.1296601966870102, 0.14904304969717155, 0.09198478929359805, 0.26012256208976564, 0.15392055572433905, 0.0036222119561650536, 0.16076938691125675, 0.37935359418625014, -0.022853454172780566, -0.11312312088398771, -0.3065780520439148, -0.2922526956281879, -0.2730163558576764, 0.09404619774696502, -0.18448834105960982, -0.1079983452483165, 0.4015377766706727, 0.12363413149829615, 0.109312801215459, 0.11807430809871718, 0.245270133797418, 0.11225061870434068, 0.04271016434808685, 0.08495647776025263, 0.28485526360666635, 0.18367837457494302, 0.004398681291125037, -0.21687117914076556, 0.0575675874017179, 0.06766200754791499] |
712.0298 | Nuclear physics inputs needed for geo-neutrino studies | Geo-neutrino studies are based on theoretical estimates of geo-neutrino
spectra. We propose a method for a direct measurement of the energy
distribution of antineutrinos from decays of long-lived radioactive isotopes.
| hep-ph astro-ph nucl-ex physics.geo-ph | geoneutrino studies are based on theoretical estimates of geoneutrino spectra we propose a method for a direct measurement of the energy distribution of antineutrinos from decays of longlived radioactive isotopes | [['geoneutrino', 'studies', 'are', 'based', 'on', 'theoretical', 'estimates', 'of', 'geoneutrino', 'spectra', 'we', 'propose', 'a', 'method', 'for', 'a', 'direct', 'measurement', 'of', 'the', 'energy', 'distribution', 'of', 'antineutrinos', 'from', 'decays', 'of', 'longlived', 'radioactive', 'isotopes']] | [-0.0008192612479130427, 0.19390058593514065, -0.110065831663087, 0.12167315601060788, 0.029703488076726594, -0.0653792655095458, 0.11363742702718203, 0.3115880156556765, -0.1823955772444606, -0.2778059711602206, 0.014994074637070299, -0.3957516624281804, 0.057481435624261695, 0.2857703243692716, 0.024846237090726694, 0.09283720261106888, 0.17809495087713004, 0.002699940900007884, -0.14760471855600674, -0.07630593956758579, 0.2523353469868501, 0.14682339966918032, 0.2946215427635858, 0.06599130565300584, 0.04078926226745049, -0.06801699816714972, -0.0886697738741835, -0.12213549790903926, -0.14249710499619445, 0.17157939807511866, 0.16771134962327777, 0.201875851660346, 0.1858522228275736, -0.45798047830661137, -0.20617959955707194, 0.17872071489691735, 0.09338765235928198, 0.12162621940175693, -0.1725290501684261, -0.3444885969161987, 0.0875994151768585, -0.19202305713358025, -0.029428440580765405, -0.04516964827974637, -0.030606605935220917, 0.09182694678505261, -0.35648181873063245, 0.17588401300211748, -0.09945279316355785, 0.09552905348440012, -0.155695033694307, -0.24791428496440251, 0.04843729631975293, 0.027857471955940127, 0.1631095305706064, -0.11894975008132556, 0.18993602340730528, -0.053273240197449924, -0.0985621741041541, 0.3444293095419804, -0.08076260518282652, -0.09242441117142637, 0.09467656060587615, -0.1492042382558187, -0.15620767483487724, 0.2109963191052278, 0.24019829047222932, 0.1596556320786476, -0.1935939076046149, 0.009236311617617806, -0.061876510828733446, 0.1568204950541258, -0.013681886779765288, 0.07669319164318343, 0.24916527202973762, 0.29429588199903567, 0.061353111856927475, -0.0035379293064276376, -0.27551624454402673, 0.031968461660047374, -0.36655972320586444, -0.15850583982343475, -0.16102722038825354, 0.11041198695699374, 0.013688840240744564, -0.14072103624639568, 0.4279170714939634, 0.07536922513196866, 0.18376656696200372, -0.01090594216560324, 0.3495411256949107, 0.052674288768321274, -0.03116585803218186, -0.021053945428381363, 0.3191304549574852, 0.2212812162625293, 0.06007430205742518, -0.2537242600927129, 0.08574997427252432, 0.04957351057479779] |
712.0299 | Azimuthal asymmetry of direct photons in intermediate energy heavy-ion
collisions | Hard photon emitted from energetic heavy ion collisions is of very
interesting since it does not experience the late-stage nuclear interaction,
therefore it is useful to explore the early-stage information of matter phase.
In this work, we have presented a first calculation of azimuthal asymmetry,
characterized by directed transverse flow parameter $F$ and elliptic asymmetry
coefficient $v_2$, for proton-neutron bremsstrahlung hard photons in
intermediate energy heavy-ion collisions. The positive $F$ and negative $v_2$
of direct photons are illustrated and they seem to be anti-correlated to the
corresponding free proton's flow.
| nucl-ex hep-ph nucl-th | hard photon emitted from energetic heavy ion collisions is of very interesting since it does not experience the latestage nuclear interaction therefore it is useful to explore the earlystage information of matter phase in this work we have presented a first calculation of azimuthal asymmetry characterized by directed transverse flow parameter f and elliptic asymmetry coefficient v_2 for protonneutron bremsstrahlung hard photons in intermediate energy heavyion collisions the positive f and negative v_2 of direct photons are illustrated and they seem to be anticorrelated to the corresponding free protons flow | [['hard', 'photon', 'emitted', 'from', 'energetic', 'heavy', 'ion', 'collisions', 'is', 'of', 'very', 'interesting', 'since', 'it', 'does', 'not', 'experience', 'the', 'latestage', 'nuclear', 'interaction', 'therefore', 'it', 'is', 'useful', 'to', 'explore', 'the', 'earlystage', 'information', 'of', 'matter', 'phase', 'in', 'this', 'work', 'we', 'have', 'presented', 'a', 'first', 'calculation', 'of', 'azimuthal', 'asymmetry', 'characterized', 'by', 'directed', 'transverse', 'flow', 'parameter', 'f', 'and', 'elliptic', 'asymmetry', 'coefficient', 'v_2', 'for', 'protonneutron', 'bremsstrahlung', 'hard', 'photons', 'in', 'intermediate', 'energy', 'heavyion', 'collisions', 'the', 'positive', 'f', 'and', 'negative', 'v_2', 'of', 'direct', 'photons', 'are', 'illustrated', 'and', 'they', 'seem', 'to', 'be', 'anticorrelated', 'to', 'the', 'corresponding', 'free', 'protons', 'flow']] | [-0.11231876578595903, 0.2913811606083376, -0.15422252886411217, 0.1402184141123952, -0.05461194986580974, -0.14654974300517803, -0.07960032210426612, 0.4083034021159013, -0.25111457702910733, -0.30509835285031134, -0.04364637155861904, -0.33818218725888677, 0.030111391407748062, 0.1599857931956649, 0.04624498480310043, 0.05315737386958467, 0.103201068042674, 0.007381277210596535, 0.018550253296012266, -0.15335954975129829, 0.28268979837497077, 0.10242742457841006, 0.20489489581021997, 0.17597193252295257, 0.06852446130166451, 0.04374994114817431, -0.05958321785243849, 0.015296970644137925, -0.11843520212148885, 0.05497337529086508, 0.30221951825401955, 0.00760419922363427, 0.16290861681983287, -0.38181871817343765, -0.17529922435060144, 0.18478920627385378, 0.183600540448808, 0.0700792523773594, -0.10142861439122094, -0.2212800251113044, 0.021315160704155765, -0.22213748607189499, -0.11279755702966618, -0.05951733572356817, 0.046937872976478605, 0.035940940533247256, -0.2892568525806483, 0.16398948213706413, 0.038515756612307286, 0.015789984446018934, -0.0021968286846660904, -0.11188741100745069, -0.08327326135089, 0.026960632303315732, 0.12413326468732622, 0.064262854328586, 0.18825864094930392, -0.14727230904002983, -0.06697524314125379, 0.3875713018221884, 0.023157177692175738, -0.1296684235955278, 0.16392747921377626, -0.2004940798557881, -0.1159236343163583, 0.2102225949522108, 0.22770586312593272, 0.13391952997513323, -0.14056305339973835, -0.009149637199395025, -0.012999589813666211, 0.16510180389567622, 0.06826764209545218, 0.02760787015496236, 0.20708356570555933, 0.09683851396871937, -0.010871522069080836, 0.12315606656112424, -0.04567261919793156, -0.06910871238085545, -0.34316941692183417, -0.11040614998071557, -0.17859296403411362, 0.07168375539040425, -0.06655710600106331, -0.08670853052365904, 0.3533034652471542, 0.0826548602225052, 0.22753619214830298, -0.10507503320566482, 0.3211846866748399, 0.11661360344539086, 0.015326569286278553, 0.09623023813797368, 0.31916777458197126, 0.1848360058515229, 0.20084264619120706, -0.2642974861768178, 0.08068923330348399, 0.039218738545767136] |
712.03 | Semiclassical decay of topological defects | Perturbative estimates suggest that extended topological defects such as
cosmic strings emit few particles, but numerical simulations of the fields from
which they are constructed suggest the opposite. In this paper we study the
decay of the two-dimensional prototype of strings, domain walls in a simple
scalar theory, solving the underlying quantum field theory in the Hartree
approximation. We conclude that including the quantum effects makes the picture
clear: the defects do not directly transform into particles, but there is a
non-perturbative channel to microscopic classical structures in the form of
propagating waves and persistent localised oscillations, which operates over a
huge separation of scales. When quantum effects are included, the microscopic
classical structures can decay into particles.
| hep-ph | perturbative estimates suggest that extended topological defects such as cosmic strings emit few particles but numerical simulations of the fields from which they are constructed suggest the opposite in this paper we study the decay of the twodimensional prototype of strings domain walls in a simple scalar theory solving the underlying quantum field theory in the hartree approximation we conclude that including the quantum effects makes the picture clear the defects do not directly transform into particles but there is a nonperturbative channel to microscopic classical structures in the form of propagating waves and persistent localised oscillations which operates over a huge separation of scales when quantum effects are included the microscopic classical structures can decay into particles | [['perturbative', 'estimates', 'suggest', 'that', 'extended', 'topological', 'defects', 'such', 'as', 'cosmic', 'strings', 'emit', 'few', 'particles', 'but', 'numerical', 'simulations', 'of', 'the', 'fields', 'from', 'which', 'they', 'are', 'constructed', 'suggest', 'the', 'opposite', 'in', 'this', 'paper', 'we', 'study', 'the', 'decay', 'of', 'the', 'twodimensional', 'prototype', 'of', 'strings', 'domain', 'walls', 'in', 'a', 'simple', 'scalar', 'theory', 'solving', 'the', 'underlying', 'quantum', 'field', 'theory', 'in', 'the', 'hartree', 'approximation', 'we', 'conclude', 'that', 'including', 'the', 'quantum', 'effects', 'makes', 'the', 'picture', 'clear', 'the', 'defects', 'do', 'not', 'directly', 'transform', 'into', 'particles', 'but', 'there', 'is', 'a', 'nonperturbative', 'channel', 'to', 'microscopic', 'classical', 'structures', 'in', 'the', 'form', 'of', 'propagating', 'waves', 'and', 'persistent', 'localised', 'oscillations', 'which', 'operates', 'over', 'a', 'huge', 'separation', 'of', 'scales', 'when', 'quantum', 'effects', 'are', 'included', 'the', 'microscopic', 'classical', 'structures', 'can', 'decay', 'into', 'particles']] | [-0.1572653583716601, 0.23266626842777735, -0.12028938419011942, 0.1318521708628889, -0.06981458452182933, -0.11018443392526547, -0.0023785367345642615, 0.33342657466340114, -0.2837537507370205, -0.2572086265436926, 0.04053217546532909, -0.27789596424801116, -0.14329151798955211, 0.16705897995132668, 0.0327002875214853, -0.00013526106032274538, 0.03920687774346226, 0.008794135887617781, -0.05467218747934705, -0.19492749780144195, 0.2802123336666027, 0.03378319772556266, 0.2717327097651817, 0.060481978032809004, 0.06536657088515112, -0.016210491947585053, -0.017080165181403695, 0.05142422184995297, -0.11736665265531065, 0.059828843009831795, 0.21164743164238536, 0.040710139822341125, 0.20525307959671749, -0.5266467151153138, -0.27727132435035656, 0.058190059279865126, 0.21867128380453923, 0.18478143830207508, -0.0840444908155744, -0.2985762123144784, 0.06530583808810245, -0.1200652901769884, -0.11355428160089305, -0.061702407328254084, -0.01317438558118923, 0.0011519433672034765, -0.20649961803613578, 0.09453957231510114, 0.06700235497210395, -0.0011379937838636718, -0.0685824744217887, -0.05328710324336159, 0.00757057713818247, 0.09674045327144193, 0.06186821368144099, 0.012998707701010094, 0.15540129481420173, -0.15462144765553018, -0.14402714623552668, 0.39132566661652873, -0.03747158533483112, -0.2063773417671732, 0.1966462851885777, -0.1707420258672308, -0.10616668759276933, 0.1561922356802023, 0.15986282090553855, 0.12123198939439983, -0.12658766376003092, 0.11763185772490371, -0.01984250876594777, 0.1786179749681851, 0.05105851461984596, 0.08536150312382665, 0.26752801883523747, 0.12541336612578607, -5.8430771864319254e-05, 0.12718055373199788, -0.0648523836151965, -0.16459700828654913, -0.3518148878021008, -0.13499612291442167, -0.16929688941592635, 0.08766159011750044, -0.058558669363388244, -0.23170288919936866, 0.3756177957076974, 0.13128462985406583, 0.15853989615215588, 0.0010212156704579622, 0.25762462702390376, 0.09674314642226386, 0.09083137202068721, 0.06984569304385933, 0.2555805907853074, 0.14994830930195116, 0.06452542613951047, -0.19955984924937661, -0.01677999109171836, 0.04617012684407123] |
712.0301 | An infrared view of (candidate accretion) disks around massive young
stars | Near-infrared surveys of high-mass star-forming regions start to shed light
onto their stellar content. A particular class of objects found in these
regions, the so-called massive Young Stellar Objects (YSOs) are surrounded by
dense circumstellar material. Several near- and mid-infrared diagnostic tools
are used to infer the physical characteristics and geometry of this
circumstellar matter. Near-infrared hydrogen emission lines provide evidence
for a disk-wind. The profiles of the first overtone of the CO band-heads,
originating in the inner 10 AU from the central star, are well fitted assuming
a keplerian rotating disk. The mid-infrared spectral energy distribution
requires the presence of a more extended envelope containing dust at a
temperature of about 200 K. CRIRES observations of CO fundamental absorption
lines confirm the presence of a cold envelope. We discuss the evolutionary
status of these objects.
| astro-ph | nearinfrared surveys of highmass starforming regions start to shed light onto their stellar content a particular class of objects found in these regions the socalled massive young stellar objects ysos are surrounded by dense circumstellar material several near and midinfrared diagnostic tools are used to infer the physical characteristics and geometry of this circumstellar matter nearinfrared hydrogen emission lines provide evidence for a diskwind the profiles of the first overtone of the co bandheads originating in the inner 10 au from the central star are well fitted assuming a keplerian rotating disk the midinfrared spectral energy distribution requires the presence of a more extended envelope containing dust at a temperature of about 200 k crires observations of co fundamental absorption lines confirm the presence of a cold envelope we discuss the evolutionary status of these objects | [['nearinfrared', 'surveys', 'of', 'highmass', 'starforming', 'regions', 'start', 'to', 'shed', 'light', 'onto', 'their', 'stellar', 'content', 'a', 'particular', 'class', 'of', 'objects', 'found', 'in', 'these', 'regions', 'the', 'socalled', 'massive', 'young', 'stellar', 'objects', 'ysos', 'are', 'surrounded', 'by', 'dense', 'circumstellar', 'material', 'several', 'near', 'and', 'midinfrared', 'diagnostic', 'tools', 'are', 'used', 'to', 'infer', 'the', 'physical', 'characteristics', 'and', 'geometry', 'of', 'this', 'circumstellar', 'matter', 'nearinfrared', 'hydrogen', 'emission', 'lines', 'provide', 'evidence', 'for', 'a', 'diskwind', 'the', 'profiles', 'of', 'the', 'first', 'overtone', 'of', 'the', 'co', 'bandheads', 'originating', 'in', 'the', 'inner', '10', 'au', 'from', 'the', 'central', 'star', 'are', 'well', 'fitted', 'assuming', 'a', 'keplerian', 'rotating', 'disk', 'the', 'midinfrared', 'spectral', 'energy', 'distribution', 'requires', 'the', 'presence', 'of', 'a', 'more', 'extended', 'envelope', 'containing', 'dust', 'at', 'a', 'temperature', 'of', 'about', '200', 'k', 'crires', 'observations', 'of', 'co', 'fundamental', 'absorption', 'lines', 'confirm', 'the', 'presence', 'of', 'a', 'cold', 'envelope', 'we', 'discuss', 'the', 'evolutionary', 'status', 'of', 'these', 'objects']] | [-0.05171537211914684, 0.09135423705105067, -0.04175886331016526, 0.08004834706576623, -0.10534937612144002, -0.056213048546958494, 0.04238264657118741, 0.4366728882579243, -0.18198252235785783, -0.33317575876957134, 0.06311096666339676, -0.26781999688982444, -0.014498549965484178, 0.14176341455758495, -0.01869701679029009, -0.044312547638957554, 0.04840703889289323, -0.1210473940914466, -0.036098738943966216, -0.1815927060738699, 0.3381815484163406, 0.039472633253728205, 0.08165728574043468, -0.014879280889598542, -0.0086337148797397, -0.16133392318186132, -0.10627386408775825, -0.06597355694290907, -0.1586155268801924, 0.11972538406467613, 0.26147136031923923, 0.12688255705870688, 0.1900079170043361, -0.38156397205795445, -0.2663559412296094, 0.028680169388227275, 0.1809734221366371, 0.02377464623628732, -0.0743686083028211, -0.2628441545769901, 0.05286978890516741, -0.1468705861565575, -0.23809358560452787, 0.08266127660103581, 0.03748872347847175, 0.04292578181518954, -0.21596452582161874, 0.08084916364511147, 0.03485077698475353, 0.13603267498119215, -0.13240298756521524, -0.12279190055286403, -0.10525461063918877, 0.06238349057692925, -0.026824444469050777, 0.018033868780441803, 0.23524110533146406, -0.17095652930541239, -0.00047199464546900024, 0.4122067908482516, -0.10403377020574066, -0.0030900137704413604, 0.27804601562949005, -0.21522153643822736, -0.15534045536974994, 0.21505347866332158, 0.13874118612147868, 0.1878664224401719, -0.15087231052765512, -0.004542431815506835, -0.05181459207361674, 0.22829798147465816, 0.08799280057043207, 0.13104302086524994, 0.43972014640594886, 0.0992981187934193, -0.039765304348239786, 0.15925402680851916, -0.27834692615878714, -0.08052523717667688, -0.247953999623218, -0.1263843638204408, -0.12101774367757197, 0.0643579361272072, -0.14919736020259305, -0.12224132471772678, 0.3162568097879343, 0.06639141374719604, 0.23592447258038995, -0.0125159755732645, 0.301803213876316, 0.05235382152365192, 0.08301279296917047, 0.1402896988986279, 0.3052018327597419, 0.21568232004510185, 0.13935173572698498, -0.23510805235127918, 0.06473511566513052, -0.012107395238297828] |
712.0302 | Hilbert fluid dynamics equations expressed in Chapman-Enskog pressure
tensor and heat current | The connection between the Chapman-Enskog and Hilbert expansions is
investigated in detail. In particular the fluid dynamics equations of any order
in the Hilbert expansion are given in terms of the pressure tensor and heat
current of the Chapman-Enskog expansion
| cond-mat.stat-mech | the connection between the chapmanenskog and hilbert expansions is investigated in detail in particular the fluid dynamics equations of any order in the hilbert expansion are given in terms of the pressure tensor and heat current of the chapmanenskog expansion | [['the', 'connection', 'between', 'the', 'chapmanenskog', 'and', 'hilbert', 'expansions', 'is', 'investigated', 'in', 'detail', 'in', 'particular', 'the', 'fluid', 'dynamics', 'equations', 'of', 'any', 'order', 'in', 'the', 'hilbert', 'expansion', 'are', 'given', 'in', 'terms', 'of', 'the', 'pressure', 'tensor', 'and', 'heat', 'current', 'of', 'the', 'chapmanenskog', 'expansion']] | [-0.16422192174941302, 0.12470162748359144, -0.09653822644613683, 0.011924380893469788, -0.029855247307568788, 0.033287783758714794, -0.0468021014588885, 0.2546103971078992, -0.31302738687954845, -0.18446053434163331, 0.08911079604877159, -0.2911271320655942, -0.11539117237553001, 0.12504700161516666, 0.03715228415094316, 0.03645843358244747, 0.02702513390686363, 0.08201382216066122, -0.13625743314623834, -0.2667784499004483, 0.36082032582489776, 0.07787012638291343, 0.2551647935993969, 0.04927442382322624, 0.11928025346715003, -0.07189357576426118, -0.05055198256159201, 0.012814763630740345, -0.15519889844581486, 0.09187561741564423, 0.27077873293310406, 0.026500238478183745, 0.2528027999214828, -0.49761855737306177, -0.21463823225349188, 0.051002091355621816, 0.13233479554764926, 0.042020049830898645, 0.012875012820586562, -0.21537402211688458, -0.022051368234679104, -0.18158513931557535, -0.12224334622733295, -0.16286134785041212, 0.00865422240458429, 0.056003191974014044, -0.24704457367770374, 0.18793784989975393, 0.04920619970653206, 0.06102596805430949, -0.11145954326493665, -0.05700606619939208, -0.004788212012499571, 0.07745710939634591, 0.039586491428781304, -0.0022537897690199315, 0.06457887645810842, -0.17765652959933503, -0.053216711548157034, 0.4162711294833571, -0.11746136822039262, -0.2617794951424003, 0.1548256596317515, -0.2506231431150809, -0.05145302516175434, 0.06580461319535971, 0.10567797727417201, 0.1286410765722394, -0.16726089022122323, 0.1663588829775108, 0.004748454969376326, 0.033040585462003946, 0.13785027946578338, -0.009233117755502462, 0.0725135391810909, 0.09818163818563334, -0.05090858727926388, 0.15400855743791908, -0.020308639155700803, -0.19098580330610276, -0.38237926485016943, -0.2379749353742227, -0.21790184080600739, 0.01946903544012457, -0.20109097219465183, -0.19677900966489686, 0.3947270303964615, 0.13278833851218225, 0.15794435715215513, -0.028853952093049882, 0.3133988123387098, 0.20783086195588113, -0.01676295408979058, 0.11209408901631832, 0.25440445470158013, 0.22565140738151968, 0.14704430848360062, -0.2836742690997198, 0.05654142660787329, 0.2087025409564376] |
712.0303 | Baryon-Strangeness correlations in Parton/Hadron transport model for Au
+ Au collisions at \sqrt{s_{NN}} = 200 GeV | Baryon-strangeness correlation (C$_{BS}$) has been investigated with a
multi-phase transport model (AMPT) in $^{197}$Au + $^{197}$Au collisions at
$\sqrt{s_{NN}}$ = 200 GeV. The centrality dependence of C$_{BS}$ is presented
within the model, from partonic phase to hadronic matter. We find that the
system still reserve partial predicted signatures of C$_{BS}$ after parton
coalescence. But after hadronic rescattering, the predicted signatures will be
obliterated completely. So it seems that both coalescence hadronization process
and hadronic rescattering are responsible for the disappearance of the C$_{BS}$
signatures.
| nucl-th hep-ph nucl-ex | baryonstrangeness correlation c_bs has been investigated with a multiphase transport model ampt in 197au 197au collisions at sqrts_nn 200 gev the centrality dependence of c_bs is presented within the model from partonic phase to hadronic matter we find that the system still reserve partial predicted signatures of c_bs after parton coalescence but after hadronic rescattering the predicted signatures will be obliterated completely so it seems that both coalescence hadronization process and hadronic rescattering are responsible for the disappearance of the c_bs signatures | [['baryonstrangeness', 'correlation', 'c_bs', 'has', 'been', 'investigated', 'with', 'a', 'multiphase', 'transport', 'model', 'ampt', 'in', '197au', '197au', 'collisions', 'at', 'sqrts_nn', '200', 'gev', 'the', 'centrality', 'dependence', 'of', 'c_bs', 'is', 'presented', 'within', 'the', 'model', 'from', 'partonic', 'phase', 'to', 'hadronic', 'matter', 'we', 'find', 'that', 'the', 'system', 'still', 'reserve', 'partial', 'predicted', 'signatures', 'of', 'c_bs', 'after', 'parton', 'coalescence', 'but', 'after', 'hadronic', 'rescattering', 'the', 'predicted', 'signatures', 'will', 'be', 'obliterated', 'completely', 'so', 'it', 'seems', 'that', 'both', 'coalescence', 'hadronization', 'process', 'and', 'hadronic', 'rescattering', 'are', 'responsible', 'for', 'the', 'disappearance', 'of', 'the', 'c_bs', 'signatures']] | [-0.04851386347706089, 0.2838319769674322, -0.2091055479207326, 0.17655999106635845, -0.015634936280548573, -0.09250905246064975, -0.0529144353449072, 0.379570629992863, -0.20606071137391577, -0.23595154342218871, -0.05708357063831943, -0.34098812927514677, 0.04567640520654982, 0.08981295442776527, 0.13613683180372435, 0.08700077663312053, 0.1197881590711271, -0.010537185220661141, -0.05677366823457727, -0.17734257502640347, 0.27022523174016944, 0.13255977907740488, 0.18329552553094378, 0.23082515120892444, 0.05027082707823777, 0.010325565022734426, -0.022636097867223547, -0.03339567799802597, -0.15964719951355108, -0.08955187502028931, 0.2748461700975895, 0.06465539532122998, 0.10124076630284147, -0.3716355724623654, -0.20519036952996764, 0.11549310299295296, 0.14628865812314537, 0.10279241837731494, -0.062152862412537015, -0.2760862080925485, 0.11047055654046012, -0.2918507392268355, -0.10172096222905987, -0.050926032941788435, 0.008388306292500801, -0.03182058850950675, -0.2710909304782612, 0.15730457457645639, -0.0016795923569943847, 0.029082695910956982, -0.013246128116961478, -0.18204914507450445, -0.11717692826783693, -0.025484313211608225, 0.08878135962217262, 0.07997081150505238, 0.20481867244376278, -0.13123330821584137, -0.1616635020792473, 0.42130789440125227, 0.048152395339523694, -0.06801860681848555, 0.1668648957601385, -0.21250676267167054, -0.16529825659150757, 0.2378095000664272, 0.19198697386309505, 0.04136317031367159, -0.2578365186956234, 0.00758235527858388, -0.007040729956337955, 0.1801681376698359, 0.08970180473846906, 0.040486798723932446, 0.19636008049156972, 0.23273310334444408, -0.09393866085333795, 0.04258426573346142, -0.10756593418489324, -0.13752778608170224, -0.37602296830353715, -0.023794574240682556, -0.07924315110757583, 0.05386329965563718, -0.05508264004151343, -0.07238792486701064, 0.3577512960154109, 0.10676429620603235, 0.2602563747829508, -0.04227654745790926, 0.25542982098669176, 0.048217471478870365, 0.02387117221383605, 0.11937793909867363, 0.29225616699947815, 0.15225205205596712, 0.1976993967574544, -0.2683093006745344, 0.16582505186883414, 0.05578018712425014] |
712.0304 | The decay \phi -> f_0(980) \gamma and the process e^+e^- -> \phi
f_0(980) | The decay \phi -> f_0(980) \gamma and process e^+e^- -> \phi f_0(980) are
considered within the local Nambu-Jona-Lasinio model. In the amplitudes of
these processes contributions of s-quark and kaon loops are taken into account.
The kaon loop gives a dominant contribution. Our estimation for the decay width
of \phi -> f_0 \gamma is in satisfactory agreement with recent experimental
data. This allows us to make some predictions for cross sections of the process
e^+e^- -> \gamma^* -> \phi f_0 which can be tested in the C-\tau factory. The
total and differential cross sections of this process are calculated and
presented in the figures.
| hep-ph | the decay phi f_0980 gamma and process ee phi f_0980 are considered within the local nambujonalasinio model in the amplitudes of these processes contributions of squark and kaon loops are taken into account the kaon loop gives a dominant contribution our estimation for the decay width of phi f_0 gamma is in satisfactory agreement with recent experimental data this allows us to make some predictions for cross sections of the process ee gamma phi f_0 which can be tested in the ctau factory the total and differential cross sections of this process are calculated and presented in the figures | [['the', 'decay', 'phi', 'f_0980', 'gamma', 'and', 'process', 'ee', 'phi', 'f_0980', 'are', 'considered', 'within', 'the', 'local', 'nambujonalasinio', 'model', 'in', 'the', 'amplitudes', 'of', 'these', 'processes', 'contributions', 'of', 'squark', 'and', 'kaon', 'loops', 'are', 'taken', 'into', 'account', 'the', 'kaon', 'loop', 'gives', 'a', 'dominant', 'contribution', 'our', 'estimation', 'for', 'the', 'decay', 'width', 'of', 'phi', 'f_0', 'gamma', 'is', 'in', 'satisfactory', 'agreement', 'with', 'recent', 'experimental', 'data', 'this', 'allows', 'us', 'to', 'make', 'some', 'predictions', 'for', 'cross', 'sections', 'of', 'the', 'process', 'ee', 'gamma', 'phi', 'f_0', 'which', 'can', 'be', 'tested', 'in', 'the', 'ctau', 'factory', 'the', 'total', 'and', 'differential', 'cross', 'sections', 'of', 'this', 'process', 'are', 'calculated', 'and', 'presented', 'in', 'the', 'figures']] | [-0.0884609125093604, 0.1839418699400443, -0.11163957807414158, 0.1273636723456208, -0.02942081174879062, -0.11755474839792257, 0.043857615544564195, 0.3539825606376234, -0.2178963300856677, -0.21125491347276804, -0.04251290280183758, -0.3205621381588057, -0.00627303755174231, 0.1988505281936001, 0.08275622601451521, 0.1268059710614534, 0.1149824026388803, 0.04918517628120202, -0.009936787846564042, -0.2047790948188666, 0.2822235849253231, 0.04462685432717806, 0.19298133921969418, 0.14633282443339174, 3.194412559910555e-05, 0.0015810242139104038, -0.09522550120347678, -0.07890943146188452, -0.1770565988251356, 0.06435196798863924, 0.2356878902029359, 0.09233061828641127, 0.09198746384319031, -0.3393157361653831, -0.09292529754792199, 0.1488093702367159, 0.14071950397802271, 0.01600170999911209, 0.014661021537683679, -0.3282066021829542, 0.0958736044298293, -0.1591304891996763, -0.06575383175390237, -0.07568107624397133, 0.03881841745095873, -0.05096604617670028, -0.3708769913875695, 0.08610164211837179, -0.02544242204778423, -0.02520120307577379, -0.02377350113855562, -0.24064837477047635, -0.012667648600075732, 0.09836708761826911, 0.11029905452883351, 0.08884027293140087, 0.18558549431077384, -0.14232978028612156, -0.12097649314826486, 0.3993283780926669, -0.07662798950655593, -0.1994341661744384, 0.0695340024928252, -0.19835139258830536, -0.12899559472847466, 0.21555577201599424, 0.21646124122175153, 0.031001778145736986, -0.19402137139078343, 0.14529246270346144, 0.011804398751319056, 0.14380758327921156, 0.06807517357913759, 0.0075887470602997425, 0.1569020779982134, 0.17857635559307206, -0.06405363858188268, 0.08919021254758153, -0.06947133368389173, -0.10426598511791478, -0.4624100837637811, -0.14064326183870435, 0.0023322557334346, 0.043725438775833354, -0.049964501987554776, -0.09409402643866611, 0.3597721730340084, 0.04404478931253908, 0.3073699495407066, 0.04033661095514856, 0.32141693293897794, 0.15324896938200439, 0.06649974199726877, 0.023984847990137458, 0.2914390037782288, 0.20027984716374464, 0.12758516286960755, -0.2343640993890174, 0.03743987035293207, -0.007992327013382256] |
712.0305 | The analytic computability of the Shannon transform for a large class of
random matrix channels | We define a class of "algebraic" random matrix channels for which one can
generically compute the limiting Shannon transform using numerical techniques
and often enumerate the low SNR series expansion coefficients in closed form.
We describe this class, the coefficient enumeration techniques and compare
theory with simulations.
| cs.IT math.IT | we define a class of algebraic random matrix channels for which one can generically compute the limiting shannon transform using numerical techniques and often enumerate the low snr series expansion coefficients in closed form we describe this class the coefficient enumeration techniques and compare theory with simulations | [['we', 'define', 'a', 'class', 'of', 'algebraic', 'random', 'matrix', 'channels', 'for', 'which', 'one', 'can', 'generically', 'compute', 'the', 'limiting', 'shannon', 'transform', 'using', 'numerical', 'techniques', 'and', 'often', 'enumerate', 'the', 'low', 'snr', 'series', 'expansion', 'coefficients', 'in', 'closed', 'form', 'we', 'describe', 'this', 'class', 'the', 'coefficient', 'enumeration', 'techniques', 'and', 'compare', 'theory', 'with', 'simulations']] | [-0.10922766515509562, 0.07120077046466634, -0.07730251507080615, 0.09155255915507912, -0.07066011538312948, -0.14831955630847432, 0.03883127986820058, 0.33052929732552233, -0.33316520446951087, -0.21039107172413074, 0.12892725175751887, -0.26617989677222487, -0.22153839146956167, 0.20580165105019796, -0.03689541519084509, 0.05581497618968182, 0.04503808430633805, 0.03379037155908473, -0.14767368931442182, -0.24980839060500581, 0.2811305956825852, 0.0077272183955349825, 0.26937417543314873, -0.00882783318631985, 0.10643329578352735, 0.005651886981139158, -0.08143398791868636, 0.022130565420585745, -0.19893358678537162, 0.11056559743419131, 0.3016298146314047, 0.10702912310296868, 0.18875737868724984, -0.4129652063501008, -0.20184000415053774, 0.1326702644731453, 0.17149230231471518, 0.10299494110315324, 0.005140299928632189, -0.18430770325296103, 0.10955200944729943, -0.218558664374212, -0.1393262755442807, -0.15383029388798836, -0.028407794780078086, 0.04684559014090832, -0.30977034507358964, 0.05060065262257419, -0.014980763236575939, 0.0404983785974377, 0.0005941636107386427, -0.1137434882186155, 0.1270377228700338, 0.07913060361727517, 0.012501374164477308, -0.049883910657917245, 0.09924920797942484, -0.08998135781965833, -0.11201883103460708, 0.3194005148524934, -0.06245567259240024, -0.256809089649865, 0.16551543759340617, -0.1568227719832608, -0.18918116119234485, 0.15027954385794223, 0.17515317881678014, 0.15025836135201315, -0.13176576329514067, 0.12753814054923032, -0.05021169373983557, 0.09122023531334832, 0.1047423921792986, 0.03285413429616613, 0.12250079381022047, 0.025163065780826072, -0.0003287417596166438, 0.208014694290196, -0.06096252876314077, -0.11580761312011709, -0.2738604282246942, -0.15888868903424194, -0.18775427941371628, 0.0795634287865238, -0.1599434668271297, -0.2271117792753354, 0.372499992313022, 0.1320134362582355, 0.17165199326390915, 0.14310776327607877, 0.2774942907990214, 0.16995284520213472, 0.013035120046202173, 0.0923149948939681, 0.10090500034609849, 0.20792167625845748, 0.01752402994068379, -0.18147743128220292, 0.04294050319437334, 0.1877536587813433] |
712.0306 | Constrained BSDE and Viscosity Solutions of Variation Inequalities | In this paper, we study the relation between the smallest $g$-supersolution
of constraint backward stochastic differential equation and viscosity solution
of constraint semilineare parabolic PDE, i.e. variation inequalities. And we
get an existence result of variation inequalities via constraint BSDE, and
prove a uniqueness result under certain condition.
| math.SG math.PR | in this paper we study the relation between the smallest gsupersolution of constraint backward stochastic differential equation and viscosity solution of constraint semilineare parabolic pde ie variation inequalities and we get an existence result of variation inequalities via constraint bsde and prove a uniqueness result under certain condition | [['in', 'this', 'paper', 'we', 'study', 'the', 'relation', 'between', 'the', 'smallest', 'gsupersolution', 'of', 'constraint', 'backward', 'stochastic', 'differential', 'equation', 'and', 'viscosity', 'solution', 'of', 'constraint', 'semilineare', 'parabolic', 'pde', 'ie', 'variation', 'inequalities', 'and', 'we', 'get', 'an', 'existence', 'result', 'of', 'variation', 'inequalities', 'via', 'constraint', 'bsde', 'and', 'prove', 'a', 'uniqueness', 'result', 'under', 'certain', 'condition']] | [-0.19552989484256375, -0.01205519782904404, -0.11100205317463564, 0.08772553712807839, -0.15060147343446378, -0.15795118427511468, 0.04174585810751128, 0.22634789043956477, -0.40426916078380914, -0.31934193748494855, 0.14989347442852982, -0.28381663925297884, -0.15388581318699796, 0.15864088570537127, -0.10761146358487642, 0.08813035471931747, 0.09072814545715632, -0.02317131986922544, -0.1117429556325078, -0.19889293906643338, 0.39098936643289484, -0.08648711613014988, 0.2175384266504451, 0.11851587579155382, 0.1940658576786518, 0.009832939001448129, 0.0013369632803875468, 0.023391587983654892, -0.2574357545084279, 0.08876791108480614, 0.20343447444231613, 0.12602571107993793, 0.33204738763363467, -0.4127708330102589, -0.12314418263976341, 0.16250345293108537, 0.057492308317982264, 0.06524030337839024, -0.05890580305687921, -0.26723854632481286, 0.07262493939260425, -0.10436574365619732, -0.2028435409150046, -0.004055294177859374, -0.004946658711718476, 0.07303722299453196, -0.34578558830949274, 0.1632876283408183, 0.15808060363253942, 0.03809607697590052, -0.16000575908338247, 0.0005045962094774712, -0.027435335452141968, -0.007481015925093189, 0.132654861000407, -0.045206144963310144, 0.029680624685209732, -0.07650290791491937, -0.0882902055695329, 0.28742853748490627, -0.14901189811770682, -0.317181758582592, 0.07647581333699434, -0.14541829735769526, -0.16594523163107427, 0.08338557324453216, 0.1742919545377726, 0.18282017662473346, -0.22353901003446916, 0.11627885302068139, -0.13098813131775544, 0.129452939428713, 0.12913039405627744, 0.05538802780210972, 0.008806412877595943, 0.13114321877694, 0.2758760636307947, 0.15519449333457844, 0.020919837614359414, -0.10714003595564028, -0.39464100110142125, -0.19260164274854344, -0.07884369264154331, 0.09163902315270642, -0.1516965374280319, -0.14822093182769808, 0.2736833362394701, 0.07876357288383272, 0.16545941996509614, 0.1504201539184736, 0.19185575398454524, 0.2811783559863334, -0.07697685343294364, 0.030271952826929602, 0.220088307786247, 0.2757739272403895, 0.14062751778502666, -0.2556067518889904, 0.10919127513593792, 0.18316651429252132] |
712.0307 | Quantum Hamilton-Jacobi Theory | Quantum canonical transformations have attracted interest since the beginning
of quantum theory. Based on their classical analogues, one would expect them to
provide a powerful quantum tool. However, the difficulty of solving a nonlinear
operator partial differential equation such as the quantum Hamilton-Jacobi
equation (QHJE) has hindered progress along this otherwise promising avenue. We
overcome this difficulty. We show that solutions to the QHJE can be constructed
by a simple prescription starting from the propagator of the associated
Schroedinger equation. Our result opens the possibility of practical use of
quantum Hamilton-Jacobi theory. As an application we develop a surprising
relation between operator ordering and the density of paths around a
semiclassical trajectory.
| quant-ph hep-th | quantum canonical transformations have attracted interest since the beginning of quantum theory based on their classical analogues one would expect them to provide a powerful quantum tool however the difficulty of solving a nonlinear operator partial differential equation such as the quantum hamiltonjacobi equation qhje has hindered progress along this otherwise promising avenue we overcome this difficulty we show that solutions to the qhje can be constructed by a simple prescription starting from the propagator of the associated schroedinger equation our result opens the possibility of practical use of quantum hamiltonjacobi theory as an application we develop a surprising relation between operator ordering and the density of paths around a semiclassical trajectory | [['quantum', 'canonical', 'transformations', 'have', 'attracted', 'interest', 'since', 'the', 'beginning', 'of', 'quantum', 'theory', 'based', 'on', 'their', 'classical', 'analogues', 'one', 'would', 'expect', 'them', 'to', 'provide', 'a', 'powerful', 'quantum', 'tool', 'however', 'the', 'difficulty', 'of', 'solving', 'a', 'nonlinear', 'operator', 'partial', 'differential', 'equation', 'such', 'as', 'the', 'quantum', 'hamiltonjacobi', 'equation', 'qhje', 'has', 'hindered', 'progress', 'along', 'this', 'otherwise', 'promising', 'avenue', 'we', 'overcome', 'this', 'difficulty', 'we', 'show', 'that', 'solutions', 'to', 'the', 'qhje', 'can', 'be', 'constructed', 'by', 'a', 'simple', 'prescription', 'starting', 'from', 'the', 'propagator', 'of', 'the', 'associated', 'schroedinger', 'equation', 'our', 'result', 'opens', 'the', 'possibility', 'of', 'practical', 'use', 'of', 'quantum', 'hamiltonjacobi', 'theory', 'as', 'an', 'application', 'we', 'develop', 'a', 'surprising', 'relation', 'between', 'operator', 'ordering', 'and', 'the', 'density', 'of', 'paths', 'around', 'a', 'semiclassical', 'trajectory']] | [-0.09882179278793046, 0.08710170303064453, -0.1435580405190454, 0.06959352450368377, -0.141050530497783, -0.1410848470030552, 0.05159159066222076, 0.2976868363080679, -0.3096890041488223, -0.2721757982757741, 0.061593189853218586, -0.2767858673261279, -0.21091258638625732, 0.2261475448613055, -0.05331759641662107, 0.1370063920372299, 0.07114646497315594, 0.015783539376830698, -0.10119308941856227, -0.17702242150802963, 0.31956057201757304, 0.020037294214749375, 0.25326656139389214, 0.04659466386406815, 0.14078075806069787, 0.00851668424937608, 0.01635949097440711, 0.01861304116755491, -0.13379816506527017, 0.13646670548977063, 0.26558863064773114, 0.10584849924115199, 0.3288235742199634, -0.46183651166835, -0.24580807783474615, 0.0729710820638242, 0.15442090864442953, 0.17950115721240373, -0.11656562739205713, -0.29372478012062075, 0.05576497132889407, -0.1674482267408166, -0.230623778995193, -0.09691836809672948, 0.006533182558736631, -0.04898782089938842, -0.18184248086929852, 0.08221447887314882, 0.05829032189961124, -0.0020812766992353965, -0.0249299173925205, -0.061021286353934556, 0.03446470002901541, 0.10138235837803222, 0.009989694293056215, 0.04565867766359588, 0.06201881261514635, -0.12968420445603052, -0.16978663192795856, 0.39167774292374297, -0.05212137284356037, -0.21273459422809538, 0.16575780695711728, -0.06702306521973307, -0.14132104972044804, 0.07891659276875933, 0.11501121830744003, 0.1695296742005407, -0.16306371413208712, 0.1379293929925812, 0.004671145181678834, 0.10514019441325217, 0.04299125747222986, 0.06078792688120822, 0.2323689490128475, 0.11582303482490326, 0.08372714115830604, 0.13421536739977974, 0.0011516636745259998, -0.1818023853993509, -0.2871497683892293, -0.1907442502592208, -0.1700740113467743, 0.16666892714731926, -0.07643408550224454, -0.16879458536693295, 0.35280078291959527, 0.19459716997049067, 0.18511078046867624, 0.012231318621031408, 0.25343569493686247, 0.21510761467652628, 0.030085706391089064, 0.018224406305567493, 0.22059450845699757, 0.20071244945990788, 0.11406527105802004, -0.22675564616396773, 0.022438377898652107, 0.11241128860482215] |
712.0308 | Current reversal in collective ratchets induced by lattice instability | A collective mechanism for current reversal in superconducting vortex
ratchets is proposed. The mechanism is based on a two-dimensional instability
of the ground state (T=0) of the system. We illustrate our results with
numerical simulations and experiments in Nb superconducting films fabricated on
top of Si substrates with artificially induced asymmetric pinning centers.
| cond-mat.stat-mech cond-mat.supr-con | a collective mechanism for current reversal in superconducting vortex ratchets is proposed the mechanism is based on a twodimensional instability of the ground state t0 of the system we illustrate our results with numerical simulations and experiments in nb superconducting films fabricated on top of si substrates with artificially induced asymmetric pinning centers | [['a', 'collective', 'mechanism', 'for', 'current', 'reversal', 'in', 'superconducting', 'vortex', 'ratchets', 'is', 'proposed', 'the', 'mechanism', 'is', 'based', 'on', 'a', 'twodimensional', 'instability', 'of', 'the', 'ground', 'state', 't0', 'of', 'the', 'system', 'we', 'illustrate', 'our', 'results', 'with', 'numerical', 'simulations', 'and', 'experiments', 'in', 'nb', 'superconducting', 'films', 'fabricated', 'on', 'top', 'of', 'si', 'substrates', 'with', 'artificially', 'induced', 'asymmetric', 'pinning', 'centers']] | [-0.16752651308768624, 0.18493053927701317, -0.042429207174002, -0.04770214913219635, -0.019324991746612313, -0.1728004865734926, 0.11110763708656689, 0.42267113446064714, -0.20801458609694579, -0.23987691329335267, 0.03887168329015796, -0.32581825174813, -0.12442803157071741, 0.2433271784651673, 0.056123190366153444, 0.0739348689972792, 0.01375062522952849, -0.0824928679283849, -0.06345921529913848, -0.22375020033346033, 0.3346590413272662, 0.04531245326342167, 0.433455280221577, 0.09338527601563705, 0.06893709620882599, -0.0800769225263722, 0.11380979185045328, 0.01993795213693718, -0.14767803053178316, 0.04298489602317788, 0.1640163660400881, -0.09786448147991356, 0.17647155999856176, -0.5321803155513305, -0.203793588762154, 0.028075142816271423, 0.1249219935106219, 0.17867065157811596, -0.1418441508079545, -0.3369402623524503, 0.11460333932542575, -0.11900852696161787, -0.10424552406272236, -0.05585572757881205, -0.021945256441128703, 0.05476449679513023, -0.27036752752116266, 0.03298429771818502, 0.09230082219835582, 0.09055924744187098, -0.08989049481087417, -0.0806844584393438, -0.08702688141866534, -0.059924564699923515, -0.028197156766183534, 0.0027512126988819183, 0.23404282627556966, -0.11638899077222033, -0.1974496979525594, 0.3042901079609709, -0.037297228381986604, -0.1598478797296027, 0.15102105398381235, -0.12428072068559111, -0.004304927931922786, 0.09998934386069623, 0.1555451006927299, 0.095503689552095, -0.09174720927159179, 0.034635907828693614, -0.033143033185657464, 0.17015234152962155, 0.0076294291263692224, 0.005864528288959332, 0.22650538565907277, 0.34530811191026894, 0.019051021254920173, 0.15979207427908648, -0.1483296448066128, -0.10885957248930661, -0.26106213553334184, -0.1470531294790079, -0.22441440328674497, 0.023043195804897346, -0.038857715204083536, -0.17511467477482445, 0.38388695335894263, 0.15554355417009233, 0.19729063079532078, -0.08703478728421032, 0.2695873216638025, 0.06773578562940699, 0.07246315166494756, 0.014871430897399923, 0.24175946407441823, 0.14105118480774592, 0.13644289256969713, -0.3243588853170568, 0.08275374246515194, 0.013226983620662172] |
712.0309 | Recovery of the internal orbital structure of galaxies | We construct axisymmetric and triaxial galaxy models with a phase-space
distribution function that depends on linear combinations of the three exact
integrals of motion for a separable potential. These Abel models, first
introduced by Dejonghe & Laurent and subsequently extended by Mathieu &
Dejonghe, are the axisymmetric and triaxial generalisations of the well-known
spherical Osipkov-Merritt models. We show that the density and higher order
velocity moments, as well as the line-of-sight velocity distribution (LOSVD) of
these models can be calculated efficiently and that they capture much of the
rich internal dynamics of early-type galaxies. We build a triaxial and oblate
axisymmetric galaxy model with projected kinematics that mimic the
two-dimensional kinematic observations that are obtained with integral-field
spectrographs such as SAURON. We fit the simulated observations with
axisymmetric and triaxial dynamical models constructed with our numerical
implementation of Schwarzschild's orbit-superposition method. We find that
Schwarzschild's method is able to recover the internal dynamics and
three-integral distribution function of realistic models of early-type
galaxies.
| astro-ph | we construct axisymmetric and triaxial galaxy models with a phasespace distribution function that depends on linear combinations of the three exact integrals of motion for a separable potential these abel models first introduced by dejonghe laurent and subsequently extended by mathieu dejonghe are the axisymmetric and triaxial generalisations of the wellknown spherical osipkovmerritt models we show that the density and higher order velocity moments as well as the lineofsight velocity distribution losvd of these models can be calculated efficiently and that they capture much of the rich internal dynamics of earlytype galaxies we build a triaxial and oblate axisymmetric galaxy model with projected kinematics that mimic the twodimensional kinematic observations that are obtained with integralfield spectrographs such as sauron we fit the simulated observations with axisymmetric and triaxial dynamical models constructed with our numerical implementation of schwarzschilds orbitsuperposition method we find that schwarzschilds method is able to recover the internal dynamics and threeintegral distribution function of realistic models of earlytype galaxies | [['we', 'construct', 'axisymmetric', 'and', 'triaxial', 'galaxy', 'models', 'with', 'a', 'phasespace', 'distribution', 'function', 'that', 'depends', 'on', 'linear', 'combinations', 'of', 'the', 'three', 'exact', 'integrals', 'of', 'motion', 'for', 'a', 'separable', 'potential', 'these', 'abel', 'models', 'first', 'introduced', 'by', 'dejonghe', 'laurent', 'and', 'subsequently', 'extended', 'by', 'mathieu', 'dejonghe', 'are', 'the', 'axisymmetric', 'and', 'triaxial', 'generalisations', 'of', 'the', 'wellknown', 'spherical', 'osipkovmerritt', 'models', 'we', 'show', 'that', 'the', 'density', 'and', 'higher', 'order', 'velocity', 'moments', 'as', 'well', 'as', 'the', 'lineofsight', 'velocity', 'distribution', 'losvd', 'of', 'these', 'models', 'can', 'be', 'calculated', 'efficiently', 'and', 'that', 'they', 'capture', 'much', 'of', 'the', 'rich', 'internal', 'dynamics', 'of', 'earlytype', 'galaxies', 'we', 'build', 'a', 'triaxial', 'and', 'oblate', 'axisymmetric', 'galaxy', 'model', 'with', 'projected', 'kinematics', 'that', 'mimic', 'the', 'twodimensional', 'kinematic', 'observations', 'that', 'are', 'obtained', 'with', 'integralfield', 'spectrographs', 'such', 'as', 'sauron', 'we', 'fit', 'the', 'simulated', 'observations', 'with', 'axisymmetric', 'and', 'triaxial', 'dynamical', 'models', 'constructed', 'with', 'our', 'numerical', 'implementation', 'of', 'schwarzschilds', 'orbitsuperposition', 'method', 'we', 'find', 'that', 'schwarzschilds', 'method', 'is', 'able', 'to', 'recover', 'the', 'internal', 'dynamics', 'and', 'threeintegral', 'distribution', 'function', 'of', 'realistic', 'models', 'of', 'earlytype', 'galaxies']] | [-0.03741564159715398, 0.04765279934111034, -0.14160137508434723, 0.10334216233311071, -0.09050070400702658, -0.0844050543100764, -0.09363544149821774, 0.4101013978133383, -0.1760620595829457, -0.3278795422419258, 0.04038085525577761, -0.2299670114222428, -0.13781915062905423, 0.1887434878782803, 0.016892725020077264, 0.0687787153364755, 0.0615633512747341, -0.07835116745435534, -0.10104628278720569, -0.2596188121770295, 0.32338303228932785, 0.0411376630517174, 0.17857787529330538, -0.13220588845252898, 0.12673055717536474, -0.038359683559432346, -0.04930367044271519, 0.03741896991554347, -0.1868200186127182, 0.07020597462976201, 0.18338559696233725, 0.12257906456437448, 0.18735217425092962, -0.39631673267909456, -0.21213880220069464, 0.06356972320473851, 0.20514987232105703, 0.1110740868976305, -0.06291311407123362, -0.30801398149743586, 0.047986110816970004, -0.22667116612942184, -0.23654053315103796, -0.10811875755349117, 0.027583225364131585, 0.11799302898196978, -0.25798175965800235, 0.1710352490175955, 0.04295655449195071, 0.06364972512122036, -0.14675750599607176, -0.10113570237277734, -0.1072349636208104, 0.04623653353567912, 0.006613050776198275, 0.03147120469232431, 0.16438822411521345, -0.11071813674477328, -0.03617005561831298, 0.4124273200626398, -0.07278359370734196, -0.19898912642492408, 0.18579013408479852, -0.17380160668948724, -0.12594984562760972, 0.0613280964540954, 0.18751203415406323, 0.12036500991501423, -0.11631976863982514, 0.04949575060724009, -0.08568426028800757, 0.1557246575620812, 0.024578158129787548, -0.05405067304790639, 0.2529198161546164, 0.06362526274939871, -0.011182288639247417, 0.11060579847298585, -0.1655584912391391, -0.11225887193049518, -0.24621793000325445, -0.06953282629266982, -0.1429849416885224, 0.04566738445323354, -0.13221637560098046, -0.1700041894772038, 0.38088492670831103, 0.10489031992086588, 0.20568401448035278, 0.10583693446209712, 0.3224136529140383, 0.0886061354063058, 0.0826041971749817, 0.09920178991973816, 0.24995881037335405, 0.1869645631403564, 0.013648057543030528, -0.2258037721498881, 0.0009928079212072843, 0.03620908869233746] |
712.031 | Heavy flavor baryons | We review the new results on the heavy flavor baryons and on the pentaquarks.
| hep-ex | we review the new results on the heavy flavor baryons and on the pentaquarks | [['we', 'review', 'the', 'new', 'results', 'on', 'the', 'heavy', 'flavor', 'baryons', 'and', 'on', 'the', 'pentaquarks']] | [-0.04487634197409664, 0.23498911008105747, -0.04448097279029233, 0.172278603804963, -0.0741846025256174, -0.03427101192729814, 0.1490420778947217, 0.3031793925911188, -0.09234922618738242, -0.20612887333014182, -0.0010584955037172352, -0.36567586261246887, 0.010401080229452677, 0.09924038778990507, 0.027667368363056864, 0.06474232726863452, 0.0910572646451848, 0.036600047323320596, -0.0476064596192113, -0.2537724934518337, 0.4482817234737532, -0.03193596989980766, 0.20572050767285482, 0.24701377802661487, 0.004946339875459671, -0.03651357671645071, -0.09988485210176025, -0.11164108717015811, -0.18095202637570246, 0.12753525136836938, 0.0228190722742251, 0.12431564361655287, 0.0625311668430056, -0.4331519057575081, -0.09084889099800161, 0.039257448964885304, 0.14029938488134316, 0.23070942291191646, -0.16448525380941906, -0.3985316729439156, 0.13751651014068297, -0.1534072172029742, -0.11341553500720433, -0.18379701673984528, -0.08709471140589033, 0.006467504692929131, -0.19905684462615422, 0.029531476985929266, -0.052756649308971, 0.02223039318674377, -0.03558689196194921, -0.39021191373467445, 0.024769792067153112, -0.03983562333243234, 0.17133154520498856, 0.022345723218417594, 0.09654269942880742, -0.22162254473992757, -0.1848419007978269, 0.46589314192533493, -0.08315191950116839, -0.16983629656689508, 0.22192219964095525, -0.13305645269740904, -0.33203857072762083, -0.07053399219044618, 0.3119163070805371, 0.10520394226270062, -0.11481722078419157, 0.06590133399419885, -0.18612848381911004, 0.14435149942125594, -0.01571598489369665, 0.113659906866295, 0.2854614654289825, 0.2101814895203071, -0.06511440613706197, -0.01243563333991915, -0.04745656488064144, -0.10382294082748038, -0.39366781818015234, -0.15673493846718753, -0.08914303832820483, 0.017435729503631592, -0.06348766848740135, -0.017598837614059448, 0.550496199301311, 0.08486797673893827, 0.2258864606597594, -0.04487951284474028, 0.2946308393563543, -0.0015582597282316004, 0.04737573469589863, 0.11398006443466459, 0.2375908217259816, 0.1883432622998953, 0.18953882337414793, -0.3331426006874868, -0.02746585789801819, 0.1068710327880191] |
712.0311 | Exploring the growth of correlations in a quasi one-dimensional trapped
Bose gas | Phase correlations, density fluctuations and three-body loss rates are
relevant for many experiments in quasi one-dimensional geometries. Extended
mean-field theory is used to evaluate correlation functions up to third order
for a quasi one-dimensional trapped Bose gas at zero and finite temperature. At
zero temperature and in the homogeneous limit, we also study the transition
from the weakly correlated Gross-Pitaevskii regime to the strongly correlated
Tonks-Girardeau regime analytically. We compare our results with the exact
Lieb-Liniger solution for the homogeneous case and find good agreement up to
the cross-over regime.
| cond-mat.mes-hall | phase correlations density fluctuations and threebody loss rates are relevant for many experiments in quasi onedimensional geometries extended meanfield theory is used to evaluate correlation functions up to third order for a quasi onedimensional trapped bose gas at zero and finite temperature at zero temperature and in the homogeneous limit we also study the transition from the weakly correlated grosspitaevskii regime to the strongly correlated tonksgirardeau regime analytically we compare our results with the exact liebliniger solution for the homogeneous case and find good agreement up to the crossover regime | [['phase', 'correlations', 'density', 'fluctuations', 'and', 'threebody', 'loss', 'rates', 'are', 'relevant', 'for', 'many', 'experiments', 'in', 'quasi', 'onedimensional', 'geometries', 'extended', 'meanfield', 'theory', 'is', 'used', 'to', 'evaluate', 'correlation', 'functions', 'up', 'to', 'third', 'order', 'for', 'a', 'quasi', 'onedimensional', 'trapped', 'bose', 'gas', 'at', 'zero', 'and', 'finite', 'temperature', 'at', 'zero', 'temperature', 'and', 'in', 'the', 'homogeneous', 'limit', 'we', 'also', 'study', 'the', 'transition', 'from', 'the', 'weakly', 'correlated', 'grosspitaevskii', 'regime', 'to', 'the', 'strongly', 'correlated', 'tonksgirardeau', 'regime', 'analytically', 'we', 'compare', 'our', 'results', 'with', 'the', 'exact', 'liebliniger', 'solution', 'for', 'the', 'homogeneous', 'case', 'and', 'find', 'good', 'agreement', 'up', 'to', 'the', 'crossover', 'regime']] | [-0.0890598743850003, 0.19422697040459347, -0.05289525966056519, 0.10577467196853832, 0.05582617589582999, -0.17188518297237654, 0.04401968893362209, 0.3583083467764987, -0.2269390806866189, -0.18830943784366053, 0.03820370938887613, -0.36148268666713396, -0.08753210470701257, 0.17309932740819123, 0.11003474990914887, 0.09905331487663918, 0.015249391614149014, 0.004135432839393616, -0.13520484677800496, -0.26007565223715373, 0.3206530245797088, 0.049069358460191226, 0.3177007217788034, 0.08145118081010878, 0.04475622842760964, -0.014777536532427702, 0.0830479592188365, 0.04294035935567485, -0.21832812532989515, 0.012479264092528157, 0.26719460940609374, -0.08233696360968881, 0.2036661016754806, -0.39523384974648557, -0.21865172040545278, 0.09371374386828393, 0.18733632134584088, 0.1601989991755949, -0.01159405114594847, -0.2796487805640532, -0.015512710499266783, -0.20240455248082678, -0.2190973350416041, -0.13740005541282396, 0.005710927774715754, 0.04474813029583957, -0.29512932604282266, 0.17573998922760237, 0.019370035578807194, 0.012914791992968983, -0.07507271373954912, -0.033117473024564484, 0.02901488551611288, 0.08634610440478557, -0.014138245226745817, 0.030294580455584866, 0.1028098950886892, -0.1507243676802318, -0.03217051856982936, 0.3536057023435003, -0.17007188180901317, -0.16034233290702105, 0.28845062987465, -0.22471961170021032, -0.07732249774659673, 0.17825954625796941, 0.1548653487064358, 0.09451779218183623, -0.12459712485886282, 0.09041798354850875, -0.048915989307634945, 0.16155490264128375, 0.02983691999947445, 0.01229540201141693, 0.22591142289133537, 0.13821621051368613, 0.038940398565157214, 0.19229699016496954, -0.06601475190060833, -0.210709578021326, -0.282828433604704, -0.0663193996090235, -0.1862470118018488, -0.005169504257436428, -0.0660738698769516, -0.15661206553793616, 0.34026830122650914, 0.1690277697932389, 0.19631776252968444, 0.08638216110670732, 0.23433910280259118, 0.1793911778794912, -0.038211206595102944, 0.06957766459737387, 0.237233805972048, 0.19048864571118934, 0.07512987629096542, -0.2902900752430368, -0.033384124924325284, 0.056578801398993364] |
712.0312 | Mean-field behavior for long- and finite range Ising model, percolation
and self-avoiding walk | We consider self-avoiding walk, percolation and the Ising model with long and
finite range. By means of the lace expansion we prove mean-field behavior for
these models if $d>2(\alpha\wedge2)$ for self-avoiding walk and the Ising
model, and $d>3(\alpha\wedge2)$ for percolation, where $d$ denotes the
dimension and $\alpha$ the power-law decay exponent of the coupling function.
We provide a simplified analysis of the lace expansion based on the
trigonometric approach in Borgs et al. (2007)
| math.PR math-ph math.MP | we consider selfavoiding walk percolation and the ising model with long and finite range by means of the lace expansion we prove meanfield behavior for these models if d2alphawedge2 for selfavoiding walk and the ising model and d3alphawedge2 for percolation where d denotes the dimension and alpha the powerlaw decay exponent of the coupling function we provide a simplified analysis of the lace expansion based on the trigonometric approach in borgs et al 2007 | [['we', 'consider', 'selfavoiding', 'walk', 'percolation', 'and', 'the', 'ising', 'model', 'with', 'long', 'and', 'finite', 'range', 'by', 'means', 'of', 'the', 'lace', 'expansion', 'we', 'prove', 'meanfield', 'behavior', 'for', 'these', 'models', 'if', 'd2alphawedge2', 'for', 'selfavoiding', 'walk', 'and', 'the', 'ising', 'model', 'and', 'd3alphawedge2', 'for', 'percolation', 'where', 'd', 'denotes', 'the', 'dimension', 'and', 'alpha', 'the', 'powerlaw', 'decay', 'exponent', 'of', 'the', 'coupling', 'function', 'we', 'provide', 'a', 'simplified', 'analysis', 'of', 'the', 'lace', 'expansion', 'based', 'on', 'the', 'trigonometric', 'approach', 'in', 'borgs', 'et', 'al', '2007']] | [-0.07525287836203158, 0.16728345697629265, -0.06875777547247708, 0.022836570621519867, -0.030239042665117368, -0.19454431994947502, 0.08081683394913045, 0.3486550718338953, -0.2209880534404268, -0.23426442624380192, 0.06331634006831639, -0.298148682121084, -0.18832444129899764, 0.13387248934789872, 0.06128470531095647, 0.08984622770609955, -0.006685109084679021, 0.004545015642280405, 0.019909717951021675, -0.27033551834433134, 0.2507044378952641, 0.011033369693905115, 0.24750619049235764, 0.08132735099126068, 0.0783243628943132, 0.09319599939044565, 0.015072998564897312, 0.014052080469102494, -0.2793307811306376, 0.06200067155684034, 0.0644975933657103, 0.026835855413486973, 0.2272867216185356, -0.3595869097755187, -0.2407231344970771, 0.12836781904722253, 0.1804666509075711, 0.0801067795061196, 0.034557241972328887, -0.30828953112035784, 0.036408710684756644, -0.1920053449769815, -0.1493282172143356, -0.02810656067190899, 0.07832939094967312, 0.06682514278670876, -0.34022686449396944, 0.15593084036987015, 0.08202194991625017, 0.10242673112144177, 0.004853729546690981, -0.10242662702350774, 0.06626450662992688, 0.08382934975897013, -0.012447640582750965, 0.025327559198356338, 0.04766508367093694, -0.10684950327655922, -0.17895894349203445, 0.33741374570591787, -0.07878158223401341, -0.17188822198659182, 0.15927724185490255, -0.19729797373292968, -0.17363466910966155, 0.04355629810339047, 0.1454065616061497, 0.12419119040067825, -0.09366416906575775, 0.19072714671347057, -0.05049480588382317, 0.11165269111127903, 0.019115729386814766, -0.0880424273847085, 0.11153074076476817, 0.19359454566923281, -0.0020605517008031407, 0.16909065107918447, -0.04735916645343726, -0.15967337435075832, -0.2860364042507071, -0.12678197572111255, -0.265471011477833, 0.09801993106601811, -0.21384602449183554, -0.2606314288115957, 0.3733681835389386, 0.16608052846923885, 0.2280805136413417, 0.17974349025947353, 0.16356003107244355, 0.14104896276775333, -0.03928107698448002, 0.1287387630307219, 0.17977927568265134, 0.13781218312861812, 0.07519348952013792, -0.17902276031155553, 0.05766872519032202, 0.22910867392137232] |
712.0313 | Hiatus perturbation for a singular Schr\"odinger operator with an
interaction supported by a curve in \mathbb{R}^3 | We consider Schr\"odinger operators in $L^2(\mathbb{R}^3)$ with a singular
interaction supported by a finite curve $\Gamma$. We present a proper
definition of the operators and study their properties, in particular, we show
that the discrete spectrum can be empty if $\Gamma$ is short enough. If it is
not the case, we investigate properties of the eigenvalues in the situation
when the curve has a hiatus of length $2\epsilon$. We derive an asymptotic
expansion with the leading term which a multiple of $\epsilon \ln\epsilon$.
| math-ph math.MP math.SP quant-ph | we consider schrodinger operators in l2mathbbr3 with a singular interaction supported by a finite curve gamma we present a proper definition of the operators and study their properties in particular we show that the discrete spectrum can be empty if gamma is short enough if it is not the case we investigate properties of the eigenvalues in the situation when the curve has a hiatus of length 2epsilon we derive an asymptotic expansion with the leading term which a multiple of epsilon lnepsilon | [['we', 'consider', 'schrodinger', 'operators', 'in', 'l2mathbbr3', 'with', 'a', 'singular', 'interaction', 'supported', 'by', 'a', 'finite', 'curve', 'gamma', 'we', 'present', 'a', 'proper', 'definition', 'of', 'the', 'operators', 'and', 'study', 'their', 'properties', 'in', 'particular', 'we', 'show', 'that', 'the', 'discrete', 'spectrum', 'can', 'be', 'empty', 'if', 'gamma', 'is', 'short', 'enough', 'if', 'it', 'is', 'not', 'the', 'case', 'we', 'investigate', 'properties', 'of', 'the', 'eigenvalues', 'in', 'the', 'situation', 'when', 'the', 'curve', 'has', 'a', 'hiatus', 'of', 'length', '2epsilon', 'we', 'derive', 'an', 'asymptotic', 'expansion', 'with', 'the', 'leading', 'term', 'which', 'a', 'multiple', 'of', 'epsilon', 'lnepsilon']] | [-0.18078817728996635, 0.12715084782779829, -0.13590375832225904, 0.05122043375565435, -0.06347776631297297, -0.10201700447486287, 0.028499824107142097, 0.37773334775793266, -0.27040604102223303, -0.18296239933515168, 0.12243298955783473, -0.28748977702694484, -0.15867993513862771, 0.16656908525591604, -0.04759998826018299, -0.006182319652962397, 0.07488994934338045, 0.09855012943496905, -0.07011887311363166, -0.2024229422733412, 0.3390435519199033, -0.0034282682575734265, 0.18233216073397682, 0.0815684257737215, 0.06097420598436371, 0.012049075479742634, 0.011121243440422666, 0.021900259676467942, -0.16492959773155694, 0.0945127096773316, 0.18925104966928555, 0.07805333087916475, 0.27118851015546236, -0.38627753665962494, -0.2153081954120243, 0.18012184880853419, 0.13116260496787277, 0.06388292999528573, -0.007908341070883963, -0.221622527860307, 0.1215660947694791, -0.17551247385913976, -0.19698585439136768, -0.03350778363914375, 0.06854677361896239, 0.02800809685982405, -0.2729143069507218, 0.05688543712470613, 0.08875293154493873, 0.027811169927288968, -0.05512467494615948, -0.04267633180638932, 0.026782748682132686, 0.09929285781403319, 0.04814623151372849, -0.005019744103550014, 0.014762559728921357, -0.10953743563942521, -0.0574662429785513, 0.39651656933184937, -0.12038286397772202, -0.22760928920414075, 0.1226955395506089, -0.20231547685766435, -0.1060077245066683, 0.08217766133686864, 0.12092147609331162, 0.16464981437220338, -0.12249850792370608, 0.202477059971558, -0.04517244145902524, 0.16094517527170568, 0.04558439342955868, 0.025566042386870606, 0.14367563637669187, 0.11908744020297764, 0.07986616720277143, 0.16324136400432607, -0.06664175148183726, -0.0327535870860903, -0.3486580099996056, -0.14438690683883, -0.16995612060628743, 0.10640042453337355, -0.09555760259913275, -0.20745333067579083, 0.38767600147031156, 0.08081525936161718, 0.251540068940944, 0.05675936232921275, 0.23281000260577864, 0.20427359760660363, 0.02420471593210227, 0.10528907854760806, 0.20115567294948072, 0.10375419759376715, 0.039016147682735, -0.21271354412233615, 0.03762547503483583, 0.09965966797871403] |
712.0314 | The Phase Diagram GdF3-LuF3 | The phase diagram gadolinium fluoride - lutetium fluoride was determined by
differential scanning calorimetry (DSC) and X-ray powder diffraction analysis.
Both pure components undergo a reversible first order transformation to a high
temperature phase. The mutual solubility of both components is unlimited in the
orthorhombic room temperature phase. The maximum solubility of Lu in the high
temperature phase of GdF3 (tysonite type) is about 20% and the maximum
solubility of Gd in LuF3 ($\alpha$-YF3 type) is about 40%. Intermediate
compositions of the low temperature phase decompose upon heating in a
peritectoid reaction to a mixture of both high temperature phases.
| cond-mat.mtrl-sci cond-mat.other physics.chem-ph | the phase diagram gadolinium fluoride lutetium fluoride was determined by differential scanning calorimetry dsc and xray powder diffraction analysis both pure components undergo a reversible first order transformation to a high temperature phase the mutual solubility of both components is unlimited in the orthorhombic room temperature phase the maximum solubility of lu in the high temperature phase of gdf3 tysonite type is about 20 and the maximum solubility of gd in luf3 alphayf3 type is about 40 intermediate compositions of the low temperature phase decompose upon heating in a peritectoid reaction to a mixture of both high temperature phases | [['the', 'phase', 'diagram', 'gadolinium', 'fluoride', 'lutetium', 'fluoride', 'was', 'determined', 'by', 'differential', 'scanning', 'calorimetry', 'dsc', 'and', 'xray', 'powder', 'diffraction', 'analysis', 'both', 'pure', 'components', 'undergo', 'a', 'reversible', 'first', 'order', 'transformation', 'to', 'a', 'high', 'temperature', 'phase', 'the', 'mutual', 'solubility', 'of', 'both', 'components', 'is', 'unlimited', 'in', 'the', 'orthorhombic', 'room', 'temperature', 'phase', 'the', 'maximum', 'solubility', 'of', 'lu', 'in', 'the', 'high', 'temperature', 'phase', 'of', 'gdf3', 'tysonite', 'type', 'is', 'about', '20', 'and', 'the', 'maximum', 'solubility', 'of', 'gd', 'in', 'luf3', 'alphayf3', 'type', 'is', 'about', '40', 'intermediate', 'compositions', 'of', 'the', 'low', 'temperature', 'phase', 'decompose', 'upon', 'heating', 'in', 'a', 'peritectoid', 'reaction', 'to', 'a', 'mixture', 'of', 'both', 'high', 'temperature', 'phases']] | [-0.11573096402571537, 0.24915872445611362, -0.04790236422832095, -0.06080482292964007, -0.005349978273443412, -0.09988887975365894, 0.15442051105977347, 0.3909832921344787, -0.25384755960355204, -0.3006112040505589, 0.09777771470544394, -0.35517395571029436, -0.04031488143179255, 0.10869033412503389, -0.001721918097852419, 0.0346675269138359, -0.07971434202045202, -0.005884135100738301, -0.16330534307053313, -0.20798420230858028, 0.18707439619735547, 0.07283993699820712, 0.3422407716085824, 0.0487501394066688, 0.10912556118758705, -0.022159518038582366, 0.08096591697540134, 0.032083578689101465, -0.13472782669123262, -0.02582313373083404, 0.30459398485254496, 0.0010274364807022114, 0.11491755512543023, -0.3664141901851205, -0.24722260475391522, 0.0543975451340278, 0.06458795742704145, 0.07212914872555605, -0.09849373751785606, -0.1800972512185884, 0.04873762937010421, -0.1324179651661931, -0.09869053257959119, -0.09378823889710475, -0.014228674815967679, 0.005786819849163294, -0.22752734483219683, 0.11610142394552743, 0.07333091681357473, 0.14228588802507147, -0.13141625011727834, -0.14682640386066245, -0.07997525120542075, 0.038823111671566345, -0.03629496416882224, 0.030477597425184893, 0.15174289837887045, -0.09531756445843105, 0.002904130322955704, 0.34898613065161044, -0.07940217653352495, 0.02129177503138635, 0.18802317630616017, -0.20745008830044753, -0.08925893933337647, 0.2932158719728856, 0.09329479620646453, 0.14101868931417508, -0.19688149861758575, 0.05036462229478881, 0.09449951997642832, 0.27358024505277473, 0.11228358584533756, -0.020704373377763357, 0.19301212751694644, 0.20804007745209674, -0.02258010614741579, 0.17151069311997466, -0.12161041846654068, -0.05040832591475919, -0.16157313012475547, -0.24057565089606214, -0.14018817892307803, 0.004597747153942085, -0.17430338824700206, -0.1781531680802194, 0.3395400957330518, 0.07242814276226757, 0.19398690359472917, -0.08472257389803417, 0.2689288323308574, 0.08356206380024862, 0.0065268119384806296, -0.03487744307009658, 0.26070434799718595, 0.24497155997232767, 0.1689407755911816, -0.2993081427945678, 0.1473328314605169, 0.05442253977525979] |
712.0315 | Very-High Energy Gamma Astrophysics | High-energy photons are a powerful probe for astrophysics and for fundamental
physics under extreme conditions. During the recent years, our knowledge of the
most violent phenomena in the Universe has impressively progressed thanks to
the advent of new detectors for high-energy gamma-rays. Observation of
gamma-rays gives an exciting view of the high-energy universe thanks to
satellite-based telescopes (AGILE, GLAST) and to ground-based detectors like
the Cherenkov telescopes (H.E.S.S. and MAGIC in particular), which recently
discovered more than 60 new very-high-energy sources. The progress achieved
with the last generation of Cherenkov telescopes is comparable to the one drawn
by EGRET with respect to the previous gamma-ray satellite detectors. This
article reviews the present status of high-energy gamma astrophysics, with
emphasis on the recent results and on the experimental developments.
| astro-ph | highenergy photons are a powerful probe for astrophysics and for fundamental physics under extreme conditions during the recent years our knowledge of the most violent phenomena in the universe has impressively progressed thanks to the advent of new detectors for highenergy gammarays observation of gammarays gives an exciting view of the highenergy universe thanks to satellitebased telescopes agile glast and to groundbased detectors like the cherenkov telescopes hess and magic in particular which recently discovered more than 60 new veryhighenergy sources the progress achieved with the last generation of cherenkov telescopes is comparable to the one drawn by egret with respect to the previous gammaray satellite detectors this article reviews the present status of highenergy gamma astrophysics with emphasis on the recent results and on the experimental developments | [['highenergy', 'photons', 'are', 'a', 'powerful', 'probe', 'for', 'astrophysics', 'and', 'for', 'fundamental', 'physics', 'under', 'extreme', 'conditions', 'during', 'the', 'recent', 'years', 'our', 'knowledge', 'of', 'the', 'most', 'violent', 'phenomena', 'in', 'the', 'universe', 'has', 'impressively', 'progressed', 'thanks', 'to', 'the', 'advent', 'of', 'new', 'detectors', 'for', 'highenergy', 'gammarays', 'observation', 'of', 'gammarays', 'gives', 'an', 'exciting', 'view', 'of', 'the', 'highenergy', 'universe', 'thanks', 'to', 'satellitebased', 'telescopes', 'agile', 'glast', 'and', 'to', 'groundbased', 'detectors', 'like', 'the', 'cherenkov', 'telescopes', 'hess', 'and', 'magic', 'in', 'particular', 'which', 'recently', 'discovered', 'more', 'than', '60', 'new', 'veryhighenergy', 'sources', 'the', 'progress', 'achieved', 'with', 'the', 'last', 'generation', 'of', 'cherenkov', 'telescopes', 'is', 'comparable', 'to', 'the', 'one', 'drawn', 'by', 'egret', 'with', 'respect', 'to', 'the', 'previous', 'gammaray', 'satellite', 'detectors', 'this', 'article', 'reviews', 'the', 'present', 'status', 'of', 'highenergy', 'gamma', 'astrophysics', 'with', 'emphasis', 'on', 'the', 'recent', 'results', 'and', 'on', 'the', 'experimental', 'developments']] | [-0.034716557855972496, 0.2016230083110031, -0.05853194462360989, 0.10348769087067922, -0.14263917861353548, -0.0743757315503899, -0.02751545448882098, 0.37988938645867165, -0.16856969312084402, -0.40212762342571295, 0.08048825940659299, -0.3482849704887485, -0.043194113197387196, 0.345127258769935, -0.03251210211919897, 0.04880933650656516, 0.1682383063089219, -0.05091538965643849, -0.023752367215365666, -0.2544991512204433, 0.25441892086291773, 0.2392496060419944, 0.2538892266093171, 0.04915173388644689, 0.11308265704610676, -0.016411439224611968, -0.11782808115094667, -0.09096866308846074, -0.08629588550229528, 0.15522095100823208, 0.2831275720964186, 0.1488397835755677, 0.21381838823435828, -0.4282591367227724, -0.27081113765598275, 0.11293411536462372, 0.09740098045222112, -0.010924656108727504, -0.10019325853920691, -0.38521644229331287, -0.010862819913199928, -0.20138277022488182, -0.19540812076229486, 0.032761448618657596, 0.01697119288891713, 0.02351601928967284, -0.12915306169816176, -0.0454753407939279, -0.03539637869471335, 0.011254775630732183, -0.04299476324194984, -0.11386502241657581, 0.10229570199771842, 0.058482387465119245, 0.11115239007449418, 0.07004183063327218, 0.06161221317438503, -0.22162869218664127, -0.16514484096114757, 0.37909358678371063, -0.0449370357770249, 0.030240829610193032, 0.2413266339317488, -0.23311484574878705, -0.25262556321467855, 0.18069384033333336, 0.1641984469442832, 0.09615927963932336, -0.16229912862036144, 0.08309215204826614, 0.008234386517870007, 0.13299651637862553, 0.04708523809313192, 0.11178344975451182, 0.28277657792932587, 0.25982023469805426, 0.10116752281237495, 0.08283302433756035, -0.2087531534361915, -0.007074534855746606, -0.27544354602650856, -0.1066309783750512, -0.17863511072391702, 0.0921641700915643, -0.004691501016623079, -0.06151154808640058, 0.40850163108552806, 0.14574018172424985, 0.12399559443292674, -0.047994174174846194, 0.3165265264105983, 0.011014909080586222, 0.06768750281480607, 0.0168987855904561, 0.40115991813490837, 0.10714310615912837, 0.18314145681506488, -0.10571943792092497, 0.06591294826830563, -0.012027622149616946] |
712.0316 | Kaon production at subthreshold energies - what do we learn about the
nuclear medium ? | The Isospin Quantum Molecular Dynamics model is used to compare spectra and
elliptic flow of kaons produced at subthreshold energies with data taken at the
SIS accelerator at GSI. We find that temperatures of the spectra are dominated
by the rescattering of the kaons. The study of elliptic flow observables
indicates the influence of rescattering as well as of the optical potential of
the kaons with increasing dominance of the optical potential at lower incident
energies.
| nucl-th | the isospin quantum molecular dynamics model is used to compare spectra and elliptic flow of kaons produced at subthreshold energies with data taken at the sis accelerator at gsi we find that temperatures of the spectra are dominated by the rescattering of the kaons the study of elliptic flow observables indicates the influence of rescattering as well as of the optical potential of the kaons with increasing dominance of the optical potential at lower incident energies | [['the', 'isospin', 'quantum', 'molecular', 'dynamics', 'model', 'is', 'used', 'to', 'compare', 'spectra', 'and', 'elliptic', 'flow', 'of', 'kaons', 'produced', 'at', 'subthreshold', 'energies', 'with', 'data', 'taken', 'at', 'the', 'sis', 'accelerator', 'at', 'gsi', 'we', 'find', 'that', 'temperatures', 'of', 'the', 'spectra', 'are', 'dominated', 'by', 'the', 'rescattering', 'of', 'the', 'kaons', 'the', 'study', 'of', 'elliptic', 'flow', 'observables', 'indicates', 'the', 'influence', 'of', 'rescattering', 'as', 'well', 'as', 'of', 'the', 'optical', 'potential', 'of', 'the', 'kaons', 'with', 'increasing', 'dominance', 'of', 'the', 'optical', 'potential', 'at', 'lower', 'incident', 'energies']] | [-0.07811315340529147, 0.21857199827699283, -0.1407612302389584, 0.08113084325266659, 0.044705673534496636, -0.12471055408547584, -0.04252836031312319, 0.34730654312787873, -0.21640864631014042, -0.2934095598512182, -0.03923892014733467, -0.381293127350019, 0.025581711216976766, 0.16586954388951294, 0.11191090419398327, 0.06629925776322029, 0.06026386188980388, 0.02425705590270043, -0.02160382940813801, -0.14032800749287402, 0.3431919266678099, 0.10730909992861071, 0.21894730978620877, 0.1859781438680856, 0.05328693601921642, 0.028355574002489448, -0.013870583047575661, -0.012166702445890559, -0.10735508440857781, 0.058627257148098, 0.25439386421471444, 0.0029171595080314497, 0.14200706445415945, -0.40333457896485925, -0.19496544249551861, 0.12794172526704833, 0.14429014315215968, 0.11236496399597902, -0.03736978893070236, -0.2466203423314973, 0.050602743245881834, -0.15305702347847583, -0.19195131824572423, -0.042695986882072726, -0.01212536571792474, 0.09442782350264392, -0.27447772515006363, 0.104175092799491, -0.0427727367258692, 0.12117378385492454, -0.06864799666341002, -0.2046126260814306, -0.10088906878617739, 0.0658647913461257, 0.0707534413591738, 0.0235594434994518, 0.1870688333506941, -0.16843860685874365, -0.11021711929750286, 0.41637332921259496, -0.05438884653726985, -0.06076252862418953, 0.13376661152333805, -0.19044234359171242, -0.07331952433665528, 0.20910140180862263, 0.2240283384943675, 0.08302748409148894, -0.12220058011773385, 0.014154562872901903, 0.01485719198152717, 0.11748319709869592, 0.09100326654917903, 0.06366491085837449, 0.16804909083600106, 0.17127173616992017, -0.019573618002284906, 0.11413678128615413, -0.11615965974602946, -0.07390463362006765, -0.32939807467750815, -0.04370440657275092, -0.1097284764737675, 0.07107058543509706, -0.03828012948763085, -0.07772625120675289, 0.4071278787757221, 0.0718896352735005, 0.2390330868530375, -0.0025500384477996512, 0.31416875094567476, 0.1347893092239055, 0.06343248024840202, 0.07250290231068472, 0.30806860625498783, 0.1731110613113024, 0.19888291272677874, -0.34940680685624675, 0.02675151677900239, 0.005105003469476574] |
712.0317 | Identified Particle Correlations at RHIC: Medium Interactions & Modified
Fragmentation | Azimuthal angle two particle correlations have been shown to be a powerful
probe for extracting novel features of jet induced correlations produced in
Au+Au collisions at RHIC. At intermediate $p_T$, 2-5GeV/c, the jets have been
shown to be significantly modified in both their particle composition and their
angular distribution compared to p+p collisions. Two-particle angular
correlations with identified particles provide sensitive probes of both the
interactions between hard scattered partons and the medium. The systematics of
these correlations are essential to understanding the physics of intermediate
$p_T$ in heavy ion collisions.
| nucl-ex | azimuthal angle two particle correlations have been shown to be a powerful probe for extracting novel features of jet induced correlations produced in auau collisions at rhic at intermediate p_t 25gevc the jets have been shown to be significantly modified in both their particle composition and their angular distribution compared to pp collisions twoparticle angular correlations with identified particles provide sensitive probes of both the interactions between hard scattered partons and the medium the systematics of these correlations are essential to understanding the physics of intermediate p_t in heavy ion collisions | [['azimuthal', 'angle', 'two', 'particle', 'correlations', 'have', 'been', 'shown', 'to', 'be', 'a', 'powerful', 'probe', 'for', 'extracting', 'novel', 'features', 'of', 'jet', 'induced', 'correlations', 'produced', 'in', 'auau', 'collisions', 'at', 'rhic', 'at', 'intermediate', 'p_t', '25gevc', 'the', 'jets', 'have', 'been', 'shown', 'to', 'be', 'significantly', 'modified', 'in', 'both', 'their', 'particle', 'composition', 'and', 'their', 'angular', 'distribution', 'compared', 'to', 'pp', 'collisions', 'twoparticle', 'angular', 'correlations', 'with', 'identified', 'particles', 'provide', 'sensitive', 'probes', 'of', 'both', 'the', 'interactions', 'between', 'hard', 'scattered', 'partons', 'and', 'the', 'medium', 'the', 'systematics', 'of', 'these', 'correlations', 'are', 'essential', 'to', 'understanding', 'the', 'physics', 'of', 'intermediate', 'p_t', 'in', 'heavy', 'ion', 'collisions']] | [-0.06577854396309704, 0.2757095313424038, -0.2209656024797975, 0.19540326131714714, 0.01855741563356585, -0.12133243335410952, -0.1541342419391084, 0.3937788128102612, -0.2730603468811346, -0.3447466293556823, -0.08154587982507008, -0.36525914571247997, 0.10347025617957115, 0.12228018675879058, 0.11696546450257302, 0.10885385592571563, 0.1051115024731391, -0.05041423198062047, -0.01224612897882859, -0.14957851455029514, 0.28020816263484044, 0.15078075867560176, 0.21344030469966432, 0.17131079385677975, 0.07708474818824065, 0.05503067452874449, -0.08192418560696145, 0.05285714589473274, -0.09055700228006268, 0.04658896357901136, 0.28028817133357126, 0.01101574367688348, 0.14765757000536217, -0.3994536400048269, -0.16668115318623475, 0.12207351805538767, 0.2155829997681495, 0.09533640934775273, -0.10592821466270834, -0.26160990281237495, 0.050562484795227645, -0.22188583029071904, -0.1380996605174409, -0.09346447127043372, 0.014024644520961575, 0.06431725028540111, -0.2865459150324265, 0.12195698926225304, 0.03062717000138946, 0.07132182432752517, 0.030057489758150445, -0.15985346171591017, -0.10026321609556262, 0.0703849336404043, 0.08611394286724842, 0.07826657032904526, 0.1824055264186528, -0.1917488582367595, -0.13477891199290754, 0.3856780853950315, 0.06389557600228322, -0.16885492369118665, 0.2581132087028689, -0.2474239259919462, -0.12697561154038542, 0.17438517548143864, 0.2846100621719314, 0.09857358768996265, -0.2072051982783402, -0.025831348905598538, 0.022473830186451476, 0.1504281258102613, 0.10979291730004156, 0.1739179073380203, 0.24439317103889252, 0.13222324164170357, -0.0437285154643986, 0.10489285750744683, -0.15390390346809807, -0.07218277416088514, -0.28874906381695636, -0.06823557197737197, -0.14088402767924385, -0.005470157798845321, -0.08042153883175665, -0.032522470065871154, 0.37449192160533534, 0.11507305934404334, 0.27969184205479297, -0.07571804031936659, 0.28439237155641117, 0.05853567509394553, 0.06714926577017953, 0.10799483142586218, 0.3525754187566539, 0.16800251101247138, 0.20268146468119488, -0.25669098461253775, 0.1114529220904741, 0.028044567045031322] |
712.0318 | The TTF finite-energy spectral features in photoemission of TTF-TCNQ:
The Hubbard-chain description | A dynamical theory which accounts for all microscopic one-electron processes
is used to study the spectral function of the 1D Hubbard model for the whole
$(k, \omega)$-plane, beyond previous studies which focused on the weight
distribution in the vicinity of the singular branch lines only. While our
predictions agree with those of the latter studies concerning the
tetracyanoquinodimethane (TCNQ) related singular features in photoemission of
the organic compound tetrathiafulvalene-tetracyanoquinodimethane (TTF-TCNQ)
metallic phase, the generalized theory also leads to quantitative agreement
concerning the tetrathiafulvalene (TTF) related finite-energy spectral
features, which are found to correspond to a value of the on-site repulsion $U$
larger than for TCNQ. Our study reveals the microscopic mechanisms behind the
unusual spectral features of TTF-TCNQ and provides a good overall description
of those features for the whole $(k, \omega)$-plane.
| cond-mat.str-el | a dynamical theory which accounts for all microscopic oneelectron processes is used to study the spectral function of the 1d hubbard model for the whole k omegaplane beyond previous studies which focused on the weight distribution in the vicinity of the singular branch lines only while our predictions agree with those of the latter studies concerning the tetracyanoquinodimethane tcnq related singular features in photoemission of the organic compound tetrathiafulvalenetetracyanoquinodimethane ttftcnq metallic phase the generalized theory also leads to quantitative agreement concerning the tetrathiafulvalene ttf related finiteenergy spectral features which are found to correspond to a value of the onsite repulsion u larger than for tcnq our study reveals the microscopic mechanisms behind the unusual spectral features of ttftcnq and provides a good overall description of those features for the whole k omegaplane | [['a', 'dynamical', 'theory', 'which', 'accounts', 'for', 'all', 'microscopic', 'oneelectron', 'processes', 'is', 'used', 'to', 'study', 'the', 'spectral', 'function', 'of', 'the', '1d', 'hubbard', 'model', 'for', 'the', 'whole', 'k', 'omegaplane', 'beyond', 'previous', 'studies', 'which', 'focused', 'on', 'the', 'weight', 'distribution', 'in', 'the', 'vicinity', 'of', 'the', 'singular', 'branch', 'lines', 'only', 'while', 'our', 'predictions', 'agree', 'with', 'those', 'of', 'the', 'latter', 'studies', 'concerning', 'the', 'tetracyanoquinodimethane', 'tcnq', 'related', 'singular', 'features', 'in', 'photoemission', 'of', 'the', 'organic', 'compound', 'tetrathiafulvalenetetracyanoquinodimethane', 'ttftcnq', 'metallic', 'phase', 'the', 'generalized', 'theory', 'also', 'leads', 'to', 'quantitative', 'agreement', 'concerning', 'the', 'tetrathiafulvalene', 'ttf', 'related', 'finiteenergy', 'spectral', 'features', 'which', 'are', 'found', 'to', 'correspond', 'to', 'a', 'value', 'of', 'the', 'onsite', 'repulsion', 'u', 'larger', 'than', 'for', 'tcnq', 'our', 'study', 'reveals', 'the', 'microscopic', 'mechanisms', 'behind', 'the', 'unusual', 'spectral', 'features', 'of', 'ttftcnq', 'and', 'provides', 'a', 'good', 'overall', 'description', 'of', 'those', 'features', 'for', 'the', 'whole', 'k', 'omegaplane']] | [-0.09497739327718702, 0.06591792904884752, -0.07805751017859262, 0.08063711630000564, -0.025441806673453273, -0.1470561162577448, 0.05625640063909955, 0.33921116116372024, -0.21453020856213037, -0.2591729046438228, 0.0011795662735080855, -0.3408985472157259, -0.12192250419563304, 0.17868589278077707, 0.01619012972029547, 0.018118005635573576, 0.014630938075821508, 0.015919509230915344, -0.10522001210395529, -0.15672493651227065, 0.2985509746394007, 0.05732279616870184, 0.2832024164892959, 0.09137982329720575, -0.004907819675281644, 0.008674027429978278, 0.02169889625458216, -0.013474658893590624, -0.17358570714890392, 0.14638032624145236, 0.26793992476163886, -0.025554784047540812, 0.21599849186851783, -0.40110049178033613, -0.2719719993924214, 0.024943737789395858, 0.13026085616994268, 0.1009796654697945, 0.009125512364059405, -0.25667254931547423, 0.056089674069715496, -0.1078712482121773, -0.16512885047687273, -0.06222857370492861, -0.02196566697040742, 0.04152624842765473, -0.24529369774091087, 0.1098486624574765, 0.0644965670598498, 0.06754011434333568, -0.12026104737059072, -0.1869840715292164, -0.07697594525983953, 0.09677768629185404, 0.03403820444267088, 0.023016235565371586, 0.11234174168908573, -0.1310195292833007, -0.07126900769424427, 0.376978406488585, -0.0511337851217611, -0.09017394361735294, 0.20118588117431058, -0.16048313094528788, -0.11741904232467552, 0.1835978846724946, 0.06116853663909503, 0.1208589007852204, -0.13346839578342484, 0.078315299035625, -0.06475729008106458, 0.17192930027941297, 0.02395221214586248, 0.08072531794211747, 0.19922939862590283, 0.15887816102159294, -0.005024582401595332, 0.11264453094785991, -0.07244902575974155, -0.14255630034798136, -0.267109467295196, -0.1251281967217272, -0.1637270954785036, 0.03474814073133254, -0.08703116663000952, -0.20645959064660763, 0.42974367946964886, 0.14097457039028857, 0.23438280875879255, -0.0012316460144409741, 0.2115842241751538, 0.10354459757218137, 0.0692789067396723, -0.005723755976015871, 0.217046923900136, 0.1572152318902116, 0.09014912765776513, -0.2724060396642678, 0.08394338589476485, 0.0655083789024502] |
712.0319 | A multi-transition HCN and HCO+ study of 12 nearby active galaxies: AGN
versus SB environments | Recent studies have indicated that the HCN-to-CO(J=1-0) and
HCO+-to-HCN(J=1-0) ratios are significantly different between galaxies with AGN
(active galactic nucleus) and SB (starburst) signatures. In order to study the
molecular gas properties in active galaxies and search for differences between
AGN and SB environments, we observed the HCN(J=1-0), (J=2-1), (J=3-2),
HCO+(J=1-0) and HCO+(J=3-2), emission with the IRAM 30m in the centre of 12
nearby active galaxies which either exhibit nuclear SB and/or AGN signatures.
Consistent with previous results, we find a significant difference of the
HCN(J=2-1)-to-HCN(J=1-0), HCN(J=3-2)-to-HCN(J=1-0), HCO+(J=3-2)-to-HCO+(J=3-2),
and HCO+-to-HCN intensity ratios between the sources dominated by an AGN and
those with an additional or pure central SB: the HCN, HCO+ and HCO+-to-HCN
intensity ratios tend to be higher in the galaxies of our sample with a central
SB as opposed to the pure AGN cases which show rather low intensity ratios.
Based on an LVG analysis of these data, i.e., assuming purely collisional
excitation, the (average) molecular gas densities in the SB dominated sources
of our sample seem to be systematically higher than in the AGN sources. The LVG
analysis seems to further support systematically higher HCN and/or lower HCO+
abundances as well as similar or higher gas temperatures in AGN compared to the
SB sources of our sample. Also, we find that the HCN-to-CO ratios decrease with
increasing rotational number J for the AGN while they stay mostly constant for
the SB sources.
| astro-ph | recent studies have indicated that the hcntocoj10 and hcotohcnj10 ratios are significantly different between galaxies with agn active galactic nucleus and sb starburst signatures in order to study the molecular gas properties in active galaxies and search for differences between agn and sb environments we observed the hcnj10 j21 j32 hcoj10 and hcoj32 emission with the iram 30m in the centre of 12 nearby active galaxies which either exhibit nuclear sb andor agn signatures consistent with previous results we find a significant difference of the hcnj21tohcnj10 hcnj32tohcnj10 hcoj32tohcoj32 and hcotohcn intensity ratios between the sources dominated by an agn and those with an additional or pure central sb the hcn hco and hcotohcn intensity ratios tend to be higher in the galaxies of our sample with a central sb as opposed to the pure agn cases which show rather low intensity ratios based on an lvg analysis of these data ie assuming purely collisional excitation the average molecular gas densities in the sb dominated sources of our sample seem to be systematically higher than in the agn sources the lvg analysis seems to further support systematically higher hcn andor lower hco abundances as well as similar or higher gas temperatures in agn compared to the sb sources of our sample also we find that the hcntoco ratios decrease with increasing rotational number j for the agn while they stay mostly constant for the sb sources | [['recent', 'studies', 'have', 'indicated', 'that', 'the', 'hcntocoj10', 'and', 'hcotohcnj10', 'ratios', 'are', 'significantly', 'different', 'between', 'galaxies', 'with', 'agn', 'active', 'galactic', 'nucleus', 'and', 'sb', 'starburst', 'signatures', 'in', 'order', 'to', 'study', 'the', 'molecular', 'gas', 'properties', 'in', 'active', 'galaxies', 'and', 'search', 'for', 'differences', 'between', 'agn', 'and', 'sb', 'environments', 'we', 'observed', 'the', 'hcnj10', 'j21', 'j32', 'hcoj10', 'and', 'hcoj32', 'emission', 'with', 'the', 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712.032 | Multiple-time states and multiple-time measurements in quantum mechanics | We discuss experimental situations that consist of multiple preparation and
measurement stages. This leads us to a new approach to quantum mechanics. In
particular, we introduce the idea of multi-time quantum states which are the
appropriate tools for describing these experimental situations. We also
describe multi-time measurements and discuss their relation to multi-time
states. A consequence of our new formalism is to put states and operators on an
equal footing. Finally we discuss the implications of our new approach to
quantum mechanics for the problem of the flow of time.
| quant-ph | we discuss experimental situations that consist of multiple preparation and measurement stages this leads us to a new approach to quantum mechanics in particular we introduce the idea of multitime quantum states which are the appropriate tools for describing these experimental situations we also describe multitime measurements and discuss their relation to multitime states a consequence of our new formalism is to put states and operators on an equal footing finally we discuss the implications of our new approach to quantum mechanics for the problem of the flow of time | [['we', 'discuss', 'experimental', 'situations', 'that', 'consist', 'of', 'multiple', 'preparation', 'and', 'measurement', 'stages', 'this', 'leads', 'us', 'to', 'a', 'new', 'approach', 'to', 'quantum', 'mechanics', 'in', 'particular', 'we', 'introduce', 'the', 'idea', 'of', 'multitime', 'quantum', 'states', 'which', 'are', 'the', 'appropriate', 'tools', 'for', 'describing', 'these', 'experimental', 'situations', 'we', 'also', 'describe', 'multitime', 'measurements', 'and', 'discuss', 'their', 'relation', 'to', 'multitime', 'states', 'a', 'consequence', 'of', 'our', 'new', 'formalism', 'is', 'to', 'put', 'states', 'and', 'operators', 'on', 'an', 'equal', 'footing', 'finally', 'we', 'discuss', 'the', 'implications', 'of', 'our', 'new', 'approach', 'to', 'quantum', 'mechanics', 'for', 'the', 'problem', 'of', 'the', 'flow', 'of', 'time']] | [-0.09400800465243972, 0.1408576544544, -0.14538139362509053, 0.0704239430423412, -0.04621818703340574, -0.110316324668626, 0.05467080464457265, 0.33007011684692567, -0.26067340342948836, -0.2778647559384505, 0.040336294207049324, -0.24074601852852437, -0.18284030485277375, 0.22633703534180918, -0.0639151273528114, 0.10586875500157475, 0.06672704934866892, 0.003960968217708998, -0.08398717027545596, -0.2201722212575583, 0.37191909247388444, 0.020696513697556738, 0.2669508121907711, 0.10043662918938531, 0.11945550014368361, 0.029588184342719613, -0.024113053259336287, -0.009011522866785526, -0.16473511163599647, 0.16910477471990615, 0.2665488273991893, 0.14313198269551827, 0.255227891376449, -0.485803304757509, -0.19324603598409643, 0.06884030368398979, 0.0783806843113982, 0.1822719866785014, -0.00433627345935545, -0.3058073438393573, 0.05052917783872949, -0.16512012854444846, -0.17753516861185845, -0.1318244947741429, 0.00381807502773073, -0.04567952883533306, -0.23676113022698297, 0.06745725788091982, 0.060977180891980724, -0.011868285958512893, -0.07524099060748186, -0.08746281309415482, 0.09111001161444518, 0.13761816556668943, 0.005399181134998798, -0.04313403142926594, 0.09679905203584996, -0.11246854053137617, -0.19067027414631513, 0.36502549207458895, 0.006704388669459149, -0.2232671509186427, 0.21260359444616672, -0.09291391165720092, -0.1781037231648548, -0.030451132512340943, 0.20997376520600583, 0.1311086227858646, -0.12825013490704198, 0.026617613919208655, -0.036931402370747594, 0.1223613453615043, 0.013900290375264983, 0.1068652170865486, 0.17762457504868506, 0.13062719768689324, 0.059320989773712224, 0.16370118843495018, -0.06823165661707106, -0.17965660592437618, -0.3917324895200889, -0.2321909037415834, -0.13424294537398965, 0.07269498431641194, -0.044377475117572535, -0.1375352656468749, 0.4140267476335996, 0.23747983771479791, 0.19775873268437055, 0.05858871515762682, 0.24121068644647797, 0.16089822019114056, 0.001973010897119012, 0.007345497266699871, 0.2341240903362632, 0.16437629559594724, 0.08423317004667802, -0.22757226949454182, -0.0017457022021214166, 0.05117779641619159] |
712.0321 | Difference Problems and Differential Problems | We state some elementary problems concerning the relation between difference
calculus and differential calculus, and we try to convince the reader that, in
spite of the simplicity of the statements, a solution of these problems would
be a significant contribution to the understanding of the foundations of
differential and integral calculus.
| math.GM | we state some elementary problems concerning the relation between difference calculus and differential calculus and we try to convince the reader that in spite of the simplicity of the statements a solution of these problems would be a significant contribution to the understanding of the foundations of differential and integral calculus | [['we', 'state', 'some', 'elementary', 'problems', 'concerning', 'the', 'relation', 'between', 'difference', 'calculus', 'and', 'differential', 'calculus', 'and', 'we', 'try', 'to', 'convince', 'the', 'reader', 'that', 'in', 'spite', 'of', 'the', 'simplicity', 'of', 'the', 'statements', 'a', 'solution', 'of', 'these', 'problems', 'would', 'be', 'a', 'significant', 'contribution', 'to', 'the', 'understanding', 'of', 'the', 'foundations', 'of', 'differential', 'and', 'integral', 'calculus']] | [-0.10636959376507531, -0.01926903028552439, -0.15933980120747698, 0.13154685531980267, -0.1768124733193248, -0.0795929374209806, 0.06363413022721515, 0.3049634201269524, -0.33707279522044986, -0.33705363860901666, 0.105459381358278, -0.313882072976626, -0.15685961843929344, 0.17088021553468472, -0.15294639097855373, 0.012297710275971423, 0.06909626353459031, 0.03733224007209726, -0.08502893388618295, -0.19664214547796577, 0.3479516381927419, -0.02268439038273166, 0.18645349868080197, 0.11626850610927623, 0.11552450205108114, -0.02174676131164911, -0.08415285039547027, 0.025743338553344503, -0.13099529843063518, 0.20597771135177098, 0.3083449068168799, 0.1299485903890694, 0.31832780931875404, -0.4637978327113624, -0.08968590735001307, 0.11235807742923498, 0.08527075314857796, 0.11481413363899086, -0.019585310335398887, -0.2745275302041395, 0.06837589596854705, -0.15598971862345934, -0.1521362507277552, -0.06823008390618306, 0.03830049891828322, 0.01389171551986068, -0.161898122863004, 0.013914460316300392, 0.14377057036001453, 0.05116312735367055, -0.08212161611984758, -0.1059307003685949, 0.03774477032871515, 0.11595751453811924, 0.06423390478434443, -0.024550774902808388, 0.058221452832952436, -0.1558695663971936, -0.1541047144827305, 0.36158158849267397, -0.04171125495842859, -0.24625175417053932, 0.16170933503000176, -0.1507911589179261, -0.16068477490369013, 0.07829771585324231, 0.1384776267131754, 0.10366772644806142, -0.11726259471227725, 0.0938171848766597, -0.015963591995886435, 0.17017071343520107, 0.06381959656216935, 0.06232290536932209, 0.1771726111570994, 0.11511086245231769, 0.02965135412181125, 0.0594489845771379, 0.021101881749927998, -0.2005077778708701, -0.3858552575111389, -0.2512273873001629, -0.04952949482728453, 0.038757736484209694, -0.047468305354556706, -0.1457482632432206, 0.3741482687274031, 0.2018206520919122, 0.13794017049903964, 0.04882499272478562, 0.25628381125701993, 0.17574974562055157, 0.011565754290524066, -0.0017697436543291107, 0.22350196600903063, 0.25492664437065377, 0.17192161152614097, -0.19530019019821696, 0.07216967000425153, 0.06802162099812253] |
712.0322 | Standstill Electric Charge Generates Magnetostatic Field Under
Born-Infeld Electrodynamics | The Abelian Born-Infeld classical non-linear electrodynamic has been used to
investigate the electric and magnetostatic fields generated by a point-like
electrical charge at rest in an inertial frame. The results show a rich
internal structure for the charge. Analytical solutions have also been found.
Such findings have been interpreted in terms of vacuum polarization and
magnetic-like charges produced by the very high strengths of the electric field
considered. Apparently non-linearity is to be accounted for the emergence of an
anomalous magnetostatic field suggesting a possible connection to that created
by a magnetic dipole composed of two mognetic charges with opposite signals.
Consistently in situations where the Born-Infeld field strength parameter is
free to become infinite, Maxwell`s regime takes over, the magnetic sector
vanishes and the electric field assumes a Coulomb behavior with no trace of a
magnetic component. The connection to other monopole solutions, like Dirac`s,
t' Hooft`s or Poliakov`s types, are also discussed. Finally some speculative
remarks are presented in an attempt to explain such fields.
| hep-th | the abelian borninfeld classical nonlinear electrodynamic has been used to investigate the electric and magnetostatic fields generated by a pointlike electrical charge at rest in an inertial frame the results show a rich internal structure for the charge analytical solutions have also been found such findings have been interpreted in terms of vacuum polarization and magneticlike charges produced by the very high strengths of the electric field considered apparently nonlinearity is to be accounted for the emergence of an anomalous magnetostatic field suggesting a possible connection to that created by a magnetic dipole composed of two mognetic charges with opposite signals consistently in situations where the borninfeld field strength parameter is free to become infinite maxwells regime takes over the magnetic sector vanishes and the electric field assumes a coulomb behavior with no trace of a magnetic component the connection to other monopole solutions like diracs t hoofts or poliakovs types are also discussed finally some speculative remarks are presented in an attempt to explain such fields | [['the', 'abelian', 'borninfeld', 'classical', 'nonlinear', 'electrodynamic', 'has', 'been', 'used', 'to', 'investigate', 'the', 'electric', 'and', 'magnetostatic', 'fields', 'generated', 'by', 'a', 'pointlike', 'electrical', 'charge', 'at', 'rest', 'in', 'an', 'inertial', 'frame', 'the', 'results', 'show', 'a', 'rich', 'internal', 'structure', 'for', 'the', 'charge', 'analytical', 'solutions', 'have', 'also', 'been', 'found', 'such', 'findings', 'have', 'been', 'interpreted', 'in', 'terms', 'of', 'vacuum', 'polarization', 'and', 'magneticlike', 'charges', 'produced', 'by', 'the', 'very', 'high', 'strengths', 'of', 'the', 'electric', 'field', 'considered', 'apparently', 'nonlinearity', 'is', 'to', 'be', 'accounted', 'for', 'the', 'emergence', 'of', 'an', 'anomalous', 'magnetostatic', 'field', 'suggesting', 'a', 'possible', 'connection', 'to', 'that', 'created', 'by', 'a', 'magnetic', 'dipole', 'composed', 'of', 'two', 'mognetic', 'charges', 'with', 'opposite', 'signals', 'consistently', 'in', 'situations', 'where', 'the', 'borninfeld', 'field', 'strength', 'parameter', 'is', 'free', 'to', 'become', 'infinite', 'maxwells', 'regime', 'takes', 'over', 'the', 'magnetic', 'sector', 'vanishes', 'and', 'the', 'electric', 'field', 'assumes', 'a', 'coulomb', 'behavior', 'with', 'no', 'trace', 'of', 'a', 'magnetic', 'component', 'the', 'connection', 'to', 'other', 'monopole', 'solutions', 'like', 'diracs', 't', 'hoofts', 'or', 'poliakovs', 'types', 'are', 'also', 'discussed', 'finally', 'some', 'speculative', 'remarks', 'are', 'presented', 'in', 'an', 'attempt', 'to', 'explain', 'such', 'fields']] | [-0.17892043420085402, 0.18575481276661088, -0.04695010010795103, 0.08759274866827058, -0.09813006345013325, -0.1192878856746988, -0.03858426900749857, 0.3662500017294378, -0.21465653131405513, -0.3139236649103237, 0.027439538542548138, -0.2633774608542973, -0.11004556217230857, 0.1735326480771288, 0.0035927459837473705, -0.019290616783793225, -0.05571472781399886, 0.09993147425297083, -0.020672319257265013, -0.18402780175745262, 0.30006812951725087, 0.02299191790181353, 0.2814147322749098, 0.07281213994561271, 0.09500371274735891, -0.025896228367998972, 0.015735063566402956, 0.10937364875818743, -0.07245397042138255, 0.03585333763198419, 0.21139782800649604, -0.000774329938841137, 0.22067817831835287, -0.4897214596018647, -0.240647708827799, 0.08724651044573296, 0.13929053094576704, 0.1312784648726158, -0.11048587069310474, -0.28893473842604595, 0.06779031969649209, -0.16578316793311387, -0.1772179500312742, -0.09384656835234527, 0.06021297544974721, 0.03227089447794821, -0.2839138872797996, 0.0467210444900433, 0.05801078036628579, 0.056342058185713764, -0.10662466119692633, -0.10994640507763534, -0.011811450909766735, 0.07654669627716595, 0.14386360817165536, 0.056061142067791836, 0.14693184631566206, -0.17804648435787496, -0.13689753161461066, 0.34520373600111764, -0.08057642633441102, -0.20480734263405656, 0.1687871539654831, -0.15209785951583674, -0.07330187310140128, 0.1413215294169883, 0.10049055981816668, 0.09539791458625008, -0.15085296957421993, 0.127561052746464, -0.005345282864502885, 0.14047980629133455, 0.07462953730966106, 0.036645036099732596, 0.2840603853716995, 0.08298058054325255, 0.00910464556266864, 0.1432376890086964, -0.05970152269479568, -0.09349063647325348, -0.3207302381379784, -0.1341374891866563, -0.14027352113220276, 0.06949164306279272, -0.06120295910416947, -0.17830736233824582, 0.37152912776694974, 0.14572620712552276, 0.15325527522063842, -0.06799777032539361, 0.2608050551519475, 0.14322720886645557, 0.08621299263569668, 0.06624134220465115, 0.3277841259197995, 0.1909909354593379, 0.14043686427669883, -0.2432838087435812, -0.015158954042602668, 0.045627066089461245] |
712.0323 | Critical view of WKB decay widths | A detailed comparison of the expressions for the decay widths obtained within
the semiclassical WKB approximation using different approaches to the tunneling
problem is performed. The differences between the available improved formulae
for tunneling near the top and the bottom of the barrier are investigated.
Though the simple WKB method gives the right order of magnitude of the decay
widths, a small number of parameters are often fitted. The need to perform the
fitting procedure remaining consistently within the WKB framework is emphasized
in the context of the fission model based calculations. Calculations for the
decay widths of some recently found super heavy nuclei using microscopic
alpha-nucleus potentials are presented to demonstrate the importance of a
consistent WKB calculation. The half-lives are found to be sensitive to the
density dependence of the nucleon-nucleon interaction and the implementation of
the Bohr-Sommerfeld quantization condition inherent in the WKB approach.
| nucl-th | a detailed comparison of the expressions for the decay widths obtained within the semiclassical wkb approximation using different approaches to the tunneling problem is performed the differences between the available improved formulae for tunneling near the top and the bottom of the barrier are investigated though the simple wkb method gives the right order of magnitude of the decay widths a small number of parameters are often fitted the need to perform the fitting procedure remaining consistently within the wkb framework is emphasized in the context of the fission model based calculations calculations for the decay widths of some recently found super heavy nuclei using microscopic alphanucleus potentials are presented to demonstrate the importance of a consistent wkb calculation the halflives are found to be sensitive to the density dependence of the nucleonnucleon interaction and the implementation of the bohrsommerfeld quantization condition inherent in the wkb approach | [['a', 'detailed', 'comparison', 'of', 'the', 'expressions', 'for', 'the', 'decay', 'widths', 'obtained', 'within', 'the', 'semiclassical', 'wkb', 'approximation', 'using', 'different', 'approaches', 'to', 'the', 'tunneling', 'problem', 'is', 'performed', 'the', 'differences', 'between', 'the', 'available', 'improved', 'formulae', 'for', 'tunneling', 'near', 'the', 'top', 'and', 'the', 'bottom', 'of', 'the', 'barrier', 'are', 'investigated', 'though', 'the', 'simple', 'wkb', 'method', 'gives', 'the', 'right', 'order', 'of', 'magnitude', 'of', 'the', 'decay', 'widths', 'a', 'small', 'number', 'of', 'parameters', 'are', 'often', 'fitted', 'the', 'need', 'to', 'perform', 'the', 'fitting', 'procedure', 'remaining', 'consistently', 'within', 'the', 'wkb', 'framework', 'is', 'emphasized', 'in', 'the', 'context', 'of', 'the', 'fission', 'model', 'based', 'calculations', 'calculations', 'for', 'the', 'decay', 'widths', 'of', 'some', 'recently', 'found', 'super', 'heavy', 'nuclei', 'using', 'microscopic', 'alphanucleus', 'potentials', 'are', 'presented', 'to', 'demonstrate', 'the', 'importance', 'of', 'a', 'consistent', 'wkb', 'calculation', 'the', 'halflives', 'are', 'found', 'to', 'be', 'sensitive', 'to', 'the', 'density', 'dependence', 'of', 'the', 'nucleonnucleon', 'interaction', 'and', 'the', 'implementation', 'of', 'the', 'bohrsommerfeld', 'quantization', 'condition', 'inherent', 'in', 'the', 'wkb', 'approach']] | [-0.06393824423010759, 0.07889749680996792, -0.10388341859984053, 0.1524372715708882, -0.021037807441031446, -0.1121709465910839, 0.049072754776840206, 0.35780155855756834, -0.2087683825797978, -0.3105136266193625, 0.008966781420721895, -0.2812082105677347, -0.06065068952739239, 0.19259644549840516, 0.046524487952163227, 0.08864688131083943, 0.07123868055895072, 0.055927609746046617, -0.11113982511443549, -0.20314676523031222, 0.28371525359922883, 0.0783077363102209, 0.279297145856481, 0.10113178991212123, 0.013519593162088318, 0.003588850754487398, -0.035063998342878155, -0.018980563900173723, -0.14893451825474852, 0.12396399918420963, 0.18870510151142533, 0.02596913140305147, 0.22559902737816784, -0.4419125088167434, -0.17363355597671198, 0.03090313814745164, 0.18628648493191874, 0.14987668414128197, -0.04376707144309672, -0.3029225353994185, 0.07763010871099295, -0.17459578324999458, -0.15920135448449196, -0.11035655324860495, 0.0032163464660648587, 0.0295281237732543, -0.2778387203983658, 0.09905330533499127, -0.050863989673200105, 0.0070776618013536985, -0.08703332046065859, -0.1489674811580909, -0.010003462121790263, 0.09779819412803163, 0.09299634634216196, -0.029154738594839653, 0.1322168396171309, -0.08006712151287428, -0.07998321552881274, 0.3965867820899097, -0.03846249200140766, -0.1817683066323805, 0.10794760085734204, -0.1437481194417797, -0.07411569681297354, 0.1694536166690087, 0.09402772878474068, 0.14557597900227626, -0.173927924088931, 0.09712537971949269, 0.03866384132705046, 0.12379589727541217, 0.07182719572732339, 0.024548754593370116, 0.1535532007779495, 0.1709434449241883, -0.06623917017258754, 0.07771543434228698, -0.13253726325232257, -0.15610291785085384, -0.35876195503360764, -0.06920079517235257, -0.15579329731044214, -0.005145207910579122, -0.0856128057722734, -0.17919991146076192, 0.40214218595857115, 0.13595665902054557, 0.20662022777674657, 0.05696183287215476, 0.3254458486121528, 0.18045252920793636, 0.07397571214804186, 0.01684322042175296, 0.3070082782340461, 0.1897615555509114, 0.05917461605876808, -0.2797176365512518, 0.05982672918404193, 0.08437033883631737] |
712.0324 | Explaining the Pure Spinor Formalism for the Superstring | After adding a pair of non-minimal fields and performing a similarity
transformation, the BRST operator in the pure spinor formalism is expressed as
a conventional-looking BRST operator involving the Virasoro constraint and
(b,c) ghosts, together with 12 fermionic constraints. This BRST operator can be
obtained by gauge-fixing the Green-Schwarz superstring where the 8 first-class
and 8 second-class Green-Schwarz constraints are combined into 12 first-class
constraints. Alternatively, the pure spinor BRST operator can be obtained from
the RNS formalism by twisting the ten spin-half RNS fermions into five spin-one
and five spin-zero fermions, and using the SO(10)/U(5) pure spinor variables to
parameterize the different ways of twisting. GSO(-) vertex operators in the
pure spinor formalism are constructed using spin fields and picture-changing
operators in a manner analogous to Ramond vertex operators in the RNS
formalism.
| hep-th | after adding a pair of nonminimal fields and performing a similarity transformation the brst operator in the pure spinor formalism is expressed as a conventionallooking brst operator involving the virasoro constraint and bc ghosts together with 12 fermionic constraints this brst operator can be obtained by gaugefixing the greenschwarz superstring where the 8 firstclass and 8 secondclass greenschwarz constraints are combined into 12 firstclass constraints alternatively the pure spinor brst operator can be obtained from the rns formalism by twisting the ten spinhalf rns fermions into five spinone and five spinzero fermions and using the so10u5 pure spinor variables to parameterize the different ways of twisting gso vertex operators in the pure spinor formalism are constructed using spin fields and picturechanging operators in a manner analogous to ramond vertex operators in the rns formalism | [['after', 'adding', 'a', 'pair', 'of', 'nonminimal', 'fields', 'and', 'performing', 'a', 'similarity', 'transformation', 'the', 'brst', 'operator', 'in', 'the', 'pure', 'spinor', 'formalism', 'is', 'expressed', 'as', 'a', 'conventionallooking', 'brst', 'operator', 'involving', 'the', 'virasoro', 'constraint', 'and', 'bc', 'ghosts', 'together', 'with', '12', 'fermionic', 'constraints', 'this', 'brst', 'operator', 'can', 'be', 'obtained', 'by', 'gaugefixing', 'the', 'greenschwarz', 'superstring', 'where', 'the', '8', 'firstclass', 'and', '8', 'secondclass', 'greenschwarz', 'constraints', 'are', 'combined', 'into', '12', 'firstclass', 'constraints', 'alternatively', 'the', 'pure', 'spinor', 'brst', 'operator', 'can', 'be', 'obtained', 'from', 'the', 'rns', 'formalism', 'by', 'twisting', 'the', 'ten', 'spinhalf', 'rns', 'fermions', 'into', 'five', 'spinone', 'and', 'five', 'spinzero', 'fermions', 'and', 'using', 'the', 'so10u5', 'pure', 'spinor', 'variables', 'to', 'parameterize', 'the', 'different', 'ways', 'of', 'twisting', 'gso', 'vertex', 'operators', 'in', 'the', 'pure', 'spinor', 'formalism', 'are', 'constructed', 'using', 'spin', 'fields', 'and', 'picturechanging', 'operators', 'in', 'a', 'manner', 'analogous', 'to', 'ramond', 'vertex', 'operators', 'in', 'the', 'rns', 'formalism']] | [-0.15131608160786836, 0.24740796905935258, -0.03954288554622939, 0.1087309635573424, -0.12901299066239394, -0.175955475735149, 0.0018147661637766916, 0.2905824390148982, -0.20516617186709973, -0.28565894049081136, 0.026398129642177793, -0.2537221875342828, -0.107435316771717, 0.04671117909868857, 0.008669011995084304, 0.005384097506005065, 0.02110492165508519, 0.07007520180895813, -0.18367814247433403, -0.27414023870588244, 0.3715935580544454, -0.061745125765359045, 0.21573213716142609, -0.02585398085079247, 0.1250189894117079, 0.08081632624975496, -0.03111589415444418, -0.051901572406698106, 0.0010056462545031892, 0.08713363514358836, 0.21225528870324106, 0.11722276639893539, 0.07563903622497294, -0.4884078690460078, -0.15473707875278883, 0.04962458733217161, 0.1627493262627071, 0.10792000015980487, 0.047538009792552294, -0.34388981119876627, -0.019526303627421464, -0.24280752289928215, -0.13203236751286382, -0.1263648830984432, -0.04629209266513362, -0.14593613911700204, -0.28509475645885796, 0.07167389269583291, 0.015852709752034844, 0.044087616129799334, -0.10153503222102159, -0.14520740976795218, -0.14595255133856957, 0.007874777733131234, 0.03469942678361291, 0.08044311717236624, 0.1437484479300972, -0.15338831498371647, -0.17871058251204572, 0.3563096164222422, -0.10356646561925124, -0.3044522285349387, 0.08320254844935485, -0.06316790184972429, -0.2001864660244183, 0.05189322307355758, 0.012492561771068722, 0.1422241213031225, -0.2805510600468606, 0.23605998640239267, 0.00026081463749191364, 0.07198905730550002, 0.14610000386750116, 0.07075671040404, 0.22154176332532688, 0.026912938467317953, 0.02714253193873884, 0.14208059896420883, 0.023060061154393408, -0.12788883038215282, -0.4197110998675339, -0.1581647758875646, -0.07110248307025242, 0.09656013698838792, -0.11632523579541348, -0.0726215928456837, 0.40530480079955067, 0.07865826688930952, 0.13471334991990624, 0.01280442401206583, 0.21234797361250826, 0.20043949810770528, 0.18912139884021162, 0.005718213714365112, 0.18710615307344755, 0.22633822540283427, 0.0807547218418379, -0.24556781190729357, -0.1911664671663727, 0.1733658484680424] |
712.0325 | Dynamics of delayed-coupled chaotic logistic maps: influence of network
topology, connectivity and delay times | We review our recent work on the synchronization of a network of
delay-coupled maps, focusing on the interplay of the network topology and the
delay times that take into account the finite velocity of propagation of
interactions. We assume that the elements of the network are identical ($N$
logistic maps in the regime where the individual maps, without coupling, evolve
in a chaotic orbit) and that the coupling strengths are uniform throughout the
network. We show that if the delay times are sufficiently heterogeneous, for
adequate coupling strength the network synchronizes in a spatially homogeneous
steady-state, which is unstable for the individual maps without coupling. This
synchronization behavior is referred to as ``suppression of chaos by random
delays'' and is in contrast with the synchronization when all the interaction
delay times are homogeneous, because with homogeneous delays the network
synchronizes in a state where the elements display in-phase time-periodic or
chaotic oscillations. We analyze the influence of the network topology
considering four different types of networks: two regular (a ring-type and a
ring-type with a central node) and two random (free-scale Barabasi-Albert and
small-world Newman-Watts). We find that when the delay times are sufficiently
heterogeneous the synchronization behavior is largely independent of the
network topology but depends on the networks connectivity, i.e., on the average
number of neighbors per node.
| nlin.CD | we review our recent work on the synchronization of a network of delaycoupled maps focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions we assume that the elements of the network are identical n logistic maps in the regime where the individual maps without coupling evolve in a chaotic orbit and that the coupling strengths are uniform throughout the network we show that if the delay times are sufficiently heterogeneous for adequate coupling strength the network synchronizes in a spatially homogeneous steadystate which is unstable for the individual maps without coupling this synchronization behavior is referred to as suppression of chaos by random delays and is in contrast with the synchronization when all the interaction delay times are homogeneous because with homogeneous delays the network synchronizes in a state where the elements display inphase timeperiodic or chaotic oscillations we analyze the influence of the network topology considering four different types of networks two regular a ringtype and a ringtype with a central node and two random freescale barabasialbert and smallworld newmanwatts we find that when the delay times are sufficiently heterogeneous the synchronization behavior is largely independent of the network topology but depends on the networks connectivity ie on the average number of neighbors per node | [['we', 'review', 'our', 'recent', 'work', 'on', 'the', 'synchronization', 'of', 'a', 'network', 'of', 'delaycoupled', 'maps', 'focusing', 'on', 'the', 'interplay', 'of', 'the', 'network', 'topology', 'and', 'the', 'delay', 'times', 'that', 'take', 'into', 'account', 'the', 'finite', 'velocity', 'of', 'propagation', 'of', 'interactions', 'we', 'assume', 'that', 'the', 'elements', 'of', 'the', 'network', 'are', 'identical', 'n', 'logistic', 'maps', 'in', 'the', 'regime', 'where', 'the', 'individual', 'maps', 'without', 'coupling', 'evolve', 'in', 'a', 'chaotic', 'orbit', 'and', 'that', 'the', 'coupling', 'strengths', 'are', 'uniform', 'throughout', 'the', 'network', 'we', 'show', 'that', 'if', 'the', 'delay', 'times', 'are', 'sufficiently', 'heterogeneous', 'for', 'adequate', 'coupling', 'strength', 'the', 'network', 'synchronizes', 'in', 'a', 'spatially', 'homogeneous', 'steadystate', 'which', 'is', 'unstable', 'for', 'the', 'individual', 'maps', 'without', 'coupling', 'this', 'synchronization', 'behavior', 'is', 'referred', 'to', 'as', 'suppression', 'of', 'chaos', 'by', 'random', 'delays', 'and', 'is', 'in', 'contrast', 'with', 'the', 'synchronization', 'when', 'all', 'the', 'interaction', 'delay', 'times', 'are', 'homogeneous', 'because', 'with', 'homogeneous', 'delays', 'the', 'network', 'synchronizes', 'in', 'a', 'state', 'where', 'the', 'elements', 'display', 'inphase', 'timeperiodic', 'or', 'chaotic', 'oscillations', 'we', 'analyze', 'the', 'influence', 'of', 'the', 'network', 'topology', 'considering', 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712.0326 | Shape transition and propulsive force of an elastic rod rotating in a
viscous fluid | The deformation of thin rods in a viscous liquid is central to the mechanics
of motility in cells ranging from \textit{Escherichia coli} to sperm. Here we
use experiments and theory to study the shape transition of a flexible rod
rotating in a viscous fluid driven either by constant torque or at constant
speed. The rod is tilted relative to the rotation axis. At low applied torque,
the rod bends gently and generates small propulsive force. At a critical
torque, the rotation speed increases abruptly and the rod forms a helical shape
with much greater propulsive force. We find good agreement between theory and
experiment.
| cond-mat.soft | the deformation of thin rods in a viscous liquid is central to the mechanics of motility in cells ranging from textitescherichia coli to sperm here we use experiments and theory to study the shape transition of a flexible rod rotating in a viscous fluid driven either by constant torque or at constant speed the rod is tilted relative to the rotation axis at low applied torque the rod bends gently and generates small propulsive force at a critical torque the rotation speed increases abruptly and the rod forms a helical shape with much greater propulsive force we find good agreement between theory and experiment | [['the', 'deformation', 'of', 'thin', 'rods', 'in', 'a', 'viscous', 'liquid', 'is', 'central', 'to', 'the', 'mechanics', 'of', 'motility', 'in', 'cells', 'ranging', 'from', 'textitescherichia', 'coli', 'to', 'sperm', 'here', 'we', 'use', 'experiments', 'and', 'theory', 'to', 'study', 'the', 'shape', 'transition', 'of', 'a', 'flexible', 'rod', 'rotating', 'in', 'a', 'viscous', 'fluid', 'driven', 'either', 'by', 'constant', 'torque', 'or', 'at', 'constant', 'speed', 'the', 'rod', 'is', 'tilted', 'relative', 'to', 'the', 'rotation', 'axis', 'at', 'low', 'applied', 'torque', 'the', 'rod', 'bends', 'gently', 'and', 'generates', 'small', 'propulsive', 'force', 'at', 'a', 'critical', 'torque', 'the', 'rotation', 'speed', 'increases', 'abruptly', 'and', 'the', 'rod', 'forms', 'a', 'helical', 'shape', 'with', 'much', 'greater', 'propulsive', 'force', 'we', 'find', 'good', 'agreement', 'between', 'theory', 'and', 'experiment']] | [-0.1520808149764959, 0.226196263021288, -0.06512075666642676, -0.04579927727956182, -0.0801642281742086, -0.17045410836894567, 0.010453645128738852, 0.39003641615496376, -0.29557376642165206, -0.28516975995556165, 0.013428547223716473, -0.28566170123835594, -0.12867855831371763, 0.19490220581064932, -0.06804559086315119, 0.045100963168526784, -0.016688348078437578, 0.0033948929586376133, -0.01885003186404132, -0.07893631124618249, 0.19201960034955007, 0.07751632380621651, 0.29894028663581523, 0.015312382230499329, 0.14605267754254433, -0.03273540302269304, 0.08433934856349459, 0.08589141866496693, -0.24231001417725706, 0.05961080664732995, 0.1630984064988577, -0.08293814867591628, 0.21537345986311826, -0.5213091019182824, -0.16888610873418378, 0.02419712219181327, 0.1225655425827986, 0.15260719438755097, -0.050374759607411064, -0.17470529766824955, 0.03337849930260116, -0.18678133754292503, -0.19380077661928505, -0.03105506479802828, 0.1306506579455275, 0.04544774484300153, -0.21837604477332206, 0.13608283187092568, 0.06631301865777808, 0.10690036102627906, -0.09951760892111522, -0.028530905847079478, -0.06097760880276418, 0.09686061964021064, 0.1371397963644435, 0.12217272022210707, 0.3074861031043558, -0.15932580404198513, -0.04188768339988131, 0.3909013555206072, -0.05688322324735614, -0.21785085530091935, 0.19455870329245675, -0.20835242371630067, -0.010574567961437143, 0.16321184514806822, 0.19703225877870303, 0.07250824367824513, -0.0404769172354673, -0.009880955975509446, 0.004878172785258637, 0.1915318207242168, 0.1574224126592386, -0.15179295128704184, 0.2795255202923167, 0.2066984157471989, 0.028654824211396493, 0.12865868446309692, -0.12821622769143476, -0.09987540813745, -0.2381288603736231, -0.13968107792047355, -0.1376541622269612, 0.029082722299230788, -0.1295945792578725, -0.15146164508321538, 0.32332866977398783, 0.054058723438244596, 0.20040449654110348, 0.05779653013003273, 0.31984065860384503, 0.03237523176581957, 0.07448428152397704, 0.056475326489397466, 0.3377580446092627, 0.16500753844201638, 0.12702455904624144, -0.27548347067652057, 0.031328599322408154, 0.006767104836539007] |
712.0327 | First determination of the strong coupling constant using NNLO
predictions for hadronic event shapes in e^+e^- annihilations | We present the first determination of the strong coupling constant from a fit
of next-to-next-to-leading order QCD predictions to event-shape variables,
measured in $e^+e^-$ annihilations at LEP. The data have been collected by the
ALEPH detector at centre-of-mass energies between 91 and 206 GeV. Compared to
results of next-to-leading order fits we observe that the central fit values
are lower by about 10%, with considerably reduced scatter among the results
obtained with different event-shape variables. The dominant systematic
uncertainty from renormalization scale variations is reduced by a factor of
two. By combining the results for several event-shape variables and
centre-of-mass energies, we find \alpha_s(M_Z^2) =
0.1240+-0.0008(stat)+-0.0010(exp)+-0.0011(had)+-0.0029(theo).
| hep-ph hep-ex | we present the first determination of the strong coupling constant from a fit of nexttonexttoleading order qcd predictions to eventshape variables measured in ee annihilations at lep the data have been collected by the aleph detector at centreofmass energies between 91 and 206 gev compared to results of nexttoleading order fits we observe that the central fit values are lower by about 10 with considerably reduced scatter among the results obtained with different eventshape variables the dominant systematic uncertainty from renormalization scale variations is reduced by a factor of two by combining the results for several eventshape variables and centreofmass energies we find alpha_sm_z2 0124000008stat00010exp00011had00029theo | [['we', 'present', 'the', 'first', 'determination', 'of', 'the', 'strong', 'coupling', 'constant', 'from', 'a', 'fit', 'of', 'nexttonexttoleading', 'order', 'qcd', 'predictions', 'to', 'eventshape', 'variables', 'measured', 'in', 'ee', 'annihilations', 'at', 'lep', 'the', 'data', 'have', 'been', 'collected', 'by', 'the', 'aleph', 'detector', 'at', 'centreofmass', 'energies', 'between', '91', 'and', '206', 'gev', 'compared', 'to', 'results', 'of', 'nexttoleading', 'order', 'fits', 'we', 'observe', 'that', 'the', 'central', 'fit', 'values', 'are', 'lower', 'by', 'about', '10', 'with', 'considerably', 'reduced', 'scatter', 'among', 'the', 'results', 'obtained', 'with', 'different', 'eventshape', 'variables', 'the', 'dominant', 'systematic', 'uncertainty', 'from', 'renormalization', 'scale', 'variations', 'is', 'reduced', 'by', 'a', 'factor', 'of', 'two', 'by', 'combining', 'the', 'results', 'for', 'several', 'eventshape', 'variables', 'and', 'centreofmass', 'energies', 'we', 'find', 'alpha_sm_z2', '0124000008stat00010exp00011had00029theo']] | [-0.04380970000952052, 0.15290324535453692, -0.09508708375506103, 0.07291196520068646, -0.018226507424305264, -0.0685635152823614, 0.035468413413932115, 0.36346089100530105, -0.19347230286803097, -0.4016442163130985, -0.0014320819990154211, -0.3651466925915044, 0.0601836407619815, 0.18600888635746043, 0.06255357907950664, 0.10415262556447348, 0.12218450308920673, -0.018083947271896668, -0.10828132345117271, -0.24154478190869738, 0.2888319508996434, 0.0978861483028875, 0.22682042856915638, 0.08366363192012963, 0.07438564235277366, 0.017719761558020346, -0.09809743686435887, -0.012336146202869713, -0.16085464108206138, 0.10997825454083235, 0.26747848397980517, 0.01620803348711119, 0.17679181684686157, -0.34100733265782207, -0.11020934500713618, 0.0837623113184236, 0.09498458879981907, 0.0761907211272046, 0.010567497605314622, -0.2937111262536536, 0.10829266951007482, -0.22983828999209577, -0.11154284648812161, -0.08238770812749863, -0.011428482615603851, -0.013547205097543506, -0.30557557271542746, 0.12287619327141258, -0.07756213296670467, 0.07021721031588431, -0.04218420872124485, -0.23131574816607797, -0.042320624844600946, 0.039615525013337344, 0.11525827543048833, 0.08660756778688385, 0.1224877638876653, -0.1380526533298857, -0.17709341395619468, 0.36776602694925925, -0.0764922261027655, -0.09150320058688521, 0.14057405236123416, -0.20700956281955138, -0.15176722982253593, 0.18367009733293133, 0.2118493522463653, 0.028118378142468058, -0.22292321949050978, 0.07654395438350128, 0.026139083349754892, 0.21402788097755268, 0.10018321058193508, 0.028542501247452143, 0.12257871147280988, 0.13665138193419596, -0.005812046178527033, 0.0733635047632001, -0.1213282651733607, -0.0649978016780761, -0.3908087151626555, -0.013562453268185401, -0.1093807261875974, 0.03606357067250288, -0.14936059732588966, 0.010731544869486243, 0.36502001905151144, 0.1604938793148344, 0.32562115573539185, 0.06455602259554255, 0.2790018686523231, 0.1598094152017998, 0.09514402003976731, 0.08304171306707968, 0.33807294957268125, 0.11583345940408225, 0.09707816587223743, -0.2306387503273212, 0.026361028370537005, 0.03944085442120782] |
712.0328 | Khalfin's Theorem and neutral mesons subsystem | We analyze the proof of the Khalfin Theorem for neutral meson complex. The
consequences of this Theorem are discussed: using this Theorem we find, eg.,
that diagonal matrix elements of the exact effective Hamiltonian for the
neutral meson complex can not be equal if CPT symmetry holds and CP symmetry is
violated. The Properties of time evolution governed by a time--independent
effective Hamiltonian acting in the neutral mesons subspace of states are
considered. By means of the Khalfin's Theorem we show that if such Hamiltonian
is time--independent then the evolution operator for the total system
containing neutral meson complex can not be a unitary operator. Within a given
specific model we examine numerically the Khalfin's Theorem. We show for this
model in a graphic form how the Khalfin's Theorem works. We also show for this
model how the difference of the mentioned diagonal matrix elements of the
effective Hamiltonian varies in time.
| hep-ph | we analyze the proof of the khalfin theorem for neutral meson complex the consequences of this theorem are discussed using this theorem we find eg that diagonal matrix elements of the exact effective hamiltonian for the neutral meson complex can not be equal if cpt symmetry holds and cp symmetry is violated the properties of time evolution governed by a timeindependent effective hamiltonian acting in the neutral mesons subspace of states are considered by means of the khalfins theorem we show that if such hamiltonian is timeindependent then the evolution operator for the total system containing neutral meson complex can not be a unitary operator within a given specific model we examine numerically the khalfins theorem we show for this model in a graphic form how the khalfins theorem works we also show for this model how the difference of the mentioned diagonal matrix elements of the effective hamiltonian varies in time | [['we', 'analyze', 'the', 'proof', 'of', 'the', 'khalfin', 'theorem', 'for', 'neutral', 'meson', 'complex', 'the', 'consequences', 'of', 'this', 'theorem', 'are', 'discussed', 'using', 'this', 'theorem', 'we', 'find', 'eg', 'that', 'diagonal', 'matrix', 'elements', 'of', 'the', 'exact', 'effective', 'hamiltonian', 'for', 'the', 'neutral', 'meson', 'complex', 'can', 'not', 'be', 'equal', 'if', 'cpt', 'symmetry', 'holds', 'and', 'cp', 'symmetry', 'is', 'violated', 'the', 'properties', 'of', 'time', 'evolution', 'governed', 'by', 'a', 'timeindependent', 'effective', 'hamiltonian', 'acting', 'in', 'the', 'neutral', 'mesons', 'subspace', 'of', 'states', 'are', 'considered', 'by', 'means', 'of', 'the', 'khalfins', 'theorem', 'we', 'show', 'that', 'if', 'such', 'hamiltonian', 'is', 'timeindependent', 'then', 'the', 'evolution', 'operator', 'for', 'the', 'total', 'system', 'containing', 'neutral', 'meson', 'complex', 'can', 'not', 'be', 'a', 'unitary', 'operator', 'within', 'a', 'given', 'specific', 'model', 'we', 'examine', 'numerically', 'the', 'khalfins', 'theorem', 'we', 'show', 'for', 'this', 'model', 'in', 'a', 'graphic', 'form', 'how', 'the', 'khalfins', 'theorem', 'works', 'we', 'also', 'show', 'for', 'this', 'model', 'how', 'the', 'difference', 'of', 'the', 'mentioned', 'diagonal', 'matrix', 'elements', 'of', 'the', 'effective', 'hamiltonian', 'varies', 'in', 'time']] | [-0.1286535311276231, 0.18860376540473417, -0.06553053970166825, 0.11020601055995365, -0.024147784038704184, -0.134784801667066, 0.029372125046058118, 0.3275796634292132, -0.2613105070287068, -0.21289824847879477, 0.05824231940680061, -0.2506880266316186, -0.16484298106699594, 0.13906473195713356, -0.0004915169694485437, 0.027057793072584133, 0.06196942824049314, 0.07017593801873245, -0.10052444952797439, -0.20484235900527747, 0.3539477885075796, -0.03227029480790646, 0.2019747505822268, 0.11936380110043836, 0.08021016639816624, 0.056376350190380196, -1.1504875912674164e-05, -1.5838662971203265e-05, -0.09137788686434521, 0.07929683443906374, 0.21330529230640663, 0.13378863141099973, 0.1913695742290369, -0.4072975887010168, -0.15599622965275653, 0.15526479151173445, 0.13052111793197246, 0.13654912206172748, -0.0420482551470693, -0.2853694851142599, 0.10416988587607384, -0.17493723565253036, -0.205150568655594, -0.09989972616313025, 0.03176663187026095, -0.02027940588366044, -0.2868597160068978, 0.10994126099792897, 0.09304506432779722, 0.04434653687119288, -0.072271661097674, -0.09281473358293481, -0.03044563648597288, 0.08383555356780753, 0.03245693584904075, -0.004415232556455426, 0.1334939439440955, -0.0679394458481846, -0.08015398708582659, 0.4112702928740825, -0.10298320098847494, -0.2628347128262057, 0.09290357184057173, -0.12067731871196118, -0.15830798818435715, 0.0469352439555989, 0.1262774864934679, 0.11799365353592868, -0.1578167662036752, 0.16939608262519437, -0.12316354356804177, 0.14455776247440985, 0.04482810492903043, 0.03514682494201943, 0.13548463877247596, 0.10729376442338291, 0.054170746383820904, 0.1108160219630104, 0.025346322303735895, -0.10803401968319361, -0.3307733792738107, -0.17360985123990472, -0.18688066010547214, 0.11187460202295609, -0.09219076425228866, -0.12507057483124204, 0.4240325055817314, 0.1219757975273081, 0.18244241593454621, 0.02854854897841027, 0.26839401295843635, 0.19075565253948107, 0.051413236709777266, 0.096454548404405, 0.23880222274946342, 0.17542860343574398, 0.07242666988780624, -0.24160498636315184, 0.014814413979796595, 0.13597802227013744] |
712.0329 | Point fixe li\'e \`a une orbite p\'eriodique d'un diff\'eomorphisme de
R2 | Given a diffeomorphism of the plane, which has a periodic orbit, we show how
Nielsen fixed point theory can be used to establish the existence of a fixed
point which is linked with this periodic orbit.
| math.DS | given a diffeomorphism of the plane which has a periodic orbit we show how nielsen fixed point theory can be used to establish the existence of a fixed point which is linked with this periodic orbit | [['given', 'a', 'diffeomorphism', 'of', 'the', 'plane', 'which', 'has', 'a', 'periodic', 'orbit', 'we', 'show', 'how', 'nielsen', 'fixed', 'point', 'theory', 'can', 'be', 'used', 'to', 'establish', 'the', 'existence', 'of', 'a', 'fixed', 'point', 'which', 'is', 'linked', 'with', 'this', 'periodic', 'orbit']] | [-0.23692191515066144, 0.1062856186569358, -0.1828557179412908, 0.029658084424833458, -0.06911489808569765, -0.12959763284824374, 0.09665720363652024, 0.32017214896364343, -0.3011819020741516, -0.21532195237361723, 0.13418869041682532, -0.2032896304089162, -0.17712414383681285, 0.16291980466081035, -0.10769441488405897, 0.04831747001864844, 0.0692397149072753, 0.06972941357849373, -0.09106811868130332, -0.2306122818392598, 0.3360648116019244, -0.02010189343450798, 0.15515208153778481, 0.014594831969588995, 0.12486769530611734, 0.027411072204510372, 0.037631780892196626, 0.04162796328051223, -0.1337802312595563, 0.11368198302160534, 0.2447178503498435, 0.06785148728845848, 0.2222499433490965, -0.3493003211915493, -0.20807255325942403, 0.159751444718697, 0.10544188491379221, 0.09769193276426652, -0.08547236925611894, -0.2836221022945311, 0.1876973440198021, -0.13458393552961448, -0.2748283633651833, -0.0303273292310122, 0.04583046714671784, 0.07022307673469186, -0.2528930196745528, -0.03494935604329738, 0.08596698339614603, 0.09844483375652796, -0.023495561288048823, 0.014587173600577645, -0.09683608677652147, 0.17339674871052718, 0.06419233379549244, 0.1374008338122318, 0.10323991330288765, 0.028135074722942792, -0.12463626888994542, 0.42233672965731883, -0.07294960490738352, -0.2529009538702667, 0.219348829291347, -0.151756465409158, -0.14626423872282934, 0.1407639445323083, 0.11495963693596423, 0.10976649082214054, -0.13682678810113835, 0.15901052004968128, -0.12782669217429227, 0.17133868545998768, 0.12758455663505527, -0.061653630497554936, 0.29250985032154453, 0.09754037197368841, 0.1935919498015816, 0.1474921195994183, -0.07549542768134011, -0.0731884902343154, -0.3291835267510679, -0.09657812353947924, -0.15414648711642562, 0.11977985043389101, -0.06255163304093811, -0.23167661536071035, 0.38222178666748935, 0.1460856508799932, 0.22129627622457015, -0.00809649141996892, 0.16697877373856804, 0.2073388716412915, 0.0253583084171017, 0.08098064431558466, 0.20576261409506616, 0.10328014307500173, -0.003009071780575646, -0.18817135366973364, -0.03768678387213084, 0.14495877942277324] |
712.033 | Collective excitations of transactinide nuclei in a self-consistent mean
field theory | The ATDHFB approach has been applied for a study of properties of collective
quadrupole states in several transactinide nuclei: 238U, 240Pu, 242Pu, 246Cm,
248Cm, 250Cf and 252Cf. Calculated energies and B(E2) transition probabilities
are in a reasonable agreement with experimental data. Results concerning
superdeformed collective states in the 240Pu nucleus are also presented.
| nucl-th | the atdhfb approach has been applied for a study of properties of collective quadrupole states in several transactinide nuclei 238u 240pu 242pu 246cm 248cm 250cf and 252cf calculated energies and be2 transition probabilities are in a reasonable agreement with experimental data results concerning superdeformed collective states in the 240pu nucleus are also presented | [['the', 'atdhfb', 'approach', 'has', 'been', 'applied', 'for', 'a', 'study', 'of', 'properties', 'of', 'collective', 'quadrupole', 'states', 'in', 'several', 'transactinide', 'nuclei', '238u', '240pu', '242pu', '246cm', '248cm', '250cf', 'and', '252cf', 'calculated', 'energies', 'and', 'be2', 'transition', 'probabilities', 'are', 'in', 'a', 'reasonable', 'agreement', 'with', 'experimental', 'data', 'results', 'concerning', 'superdeformed', 'collective', 'states', 'in', 'the', '240pu', 'nucleus', 'are', 'also', 'presented']] | [-0.02068458535304328, 0.18345546341975624, -0.06821762542580781, 0.17438926339536062, 0.10648869853115307, -0.07929515861466808, 0.038469042505998655, 0.443523941456147, -0.08244991873584266, -0.24802583401565845, -0.0814451375989384, -0.3739221914899799, 0.0022697611096894965, 0.18272464848914236, 0.042601434303061014, 0.09644418956606456, 0.08162942718723262, 0.052871186725514115, -0.06531984432828876, -0.07914263171249263, 0.21772105584167084, 0.12120694909596218, 0.29874203287346185, 0.10313015569340249, -0.011360206305189937, -0.03398139523517973, 0.10933178889934185, -0.06794312773799559, -0.17101601816994963, 0.08858506597429162, 0.33655765259040976, 0.04840685586655899, 0.15217795891726812, -0.41529929388384773, -0.1451759712753009, 0.0807203368398027, 0.15249237609710894, 0.18497840922522438, -0.13150812548427088, -0.36521206908630877, 0.01585975356118859, -0.2880433384715667, -0.15419158571452465, -0.16435748657194088, 0.06043703859355652, 0.12915188828834667, -0.22003757790223044, 0.09847765692722772, -0.050982751514551776, 0.1069024536442363, -0.21149299068833297, -0.30549567118111365, -0.04529034311410626, 0.02873109156053891, 0.10809606260989073, -0.018748894935684664, 0.18901179744071275, -0.03200015179672331, -0.1493052202804049, 0.39315834219725626, 0.07359002421627629, -0.05885753713829337, 0.06389018549706857, -0.15178659557417598, -0.18906221688145175, 0.22123745720798396, 0.11716539134218726, 0.13961794866986996, -0.1411982242650581, 0.04626219480447823, -0.0250805778833071, 0.12204313047564114, 0.08481928286195364, 0.0373919345426125, 0.10168341791503271, 0.1645382432583368, -0.12192727059547631, 0.0930174688395675, -0.14667270128738205, -0.15895028391255522, -0.23749417737829234, -0.03623382068010715, -0.11809476696938839, -0.010690600189538497, 0.030545252410998074, -0.05141700031060093, 0.36148335181949837, -0.03190300351817091, 0.19410462531849812, -0.03766803891521017, 0.17337246919501098, 0.02327216093270284, -0.0025874361360691627, 0.0060092256501106155, 0.34890323863276895, 0.23108742006544797, 0.004915106444145148, -0.3073596039189483, 0.09524339607714694, 0.007805128089802445] |
712.0331 | A new upper bound for the cross number of finite Abelian groups | In this paper, building among others on earlier works by U. Krause and C.
Zahlten (dealing with the case of cyclic groups), we obtain a new upper bound
for the little cross number valid in the general case of arbitrary finite
Abelian groups. Given a finite Abelian group, this upper bound appears to
depend only on the rank and on the number of distinct prime divisors of the
exponent. The main theorem of this paper allows us, among other consequences,
to prove that a classical conjecture concerning the cross and little cross
numbers of finite Abelian groups holds asymptotically in at least two different
directions.
| math.NT math.CO math.GR | in this paper building among others on earlier works by u krause and c zahlten dealing with the case of cyclic groups we obtain a new upper bound for the little cross number valid in the general case of arbitrary finite abelian groups given a finite abelian group this upper bound appears to depend only on the rank and on the number of distinct prime divisors of the exponent the main theorem of this paper allows us among other consequences to prove that a classical conjecture concerning the cross and little cross numbers of finite abelian groups holds asymptotically in at least two different directions | [['in', 'this', 'paper', 'building', 'among', 'others', 'on', 'earlier', 'works', 'by', 'u', 'krause', 'and', 'c', 'zahlten', 'dealing', 'with', 'the', 'case', 'of', 'cyclic', 'groups', 'we', 'obtain', 'a', 'new', 'upper', 'bound', 'for', 'the', 'little', 'cross', 'number', 'valid', 'in', 'the', 'general', 'case', 'of', 'arbitrary', 'finite', 'abelian', 'groups', 'given', 'a', 'finite', 'abelian', 'group', 'this', 'upper', 'bound', 'appears', 'to', 'depend', 'only', 'on', 'the', 'rank', 'and', 'on', 'the', 'number', 'of', 'distinct', 'prime', 'divisors', 'of', 'the', 'exponent', 'the', 'main', 'theorem', 'of', 'this', 'paper', 'allows', 'us', 'among', 'other', 'consequences', 'to', 'prove', 'that', 'a', 'classical', 'conjecture', 'concerning', 'the', 'cross', 'and', 'little', 'cross', 'numbers', 'of', 'finite', 'abelian', 'groups', 'holds', 'asymptotically', 'in', 'at', 'least', 'two', 'different', 'directions']] | [-0.18466584582680037, 0.1472708806218136, -0.08250095341798096, 0.07526041339484177, -0.07996533566121278, -0.16189820983314088, 0.07941435587902863, 0.28778386857537996, -0.21778157093517836, -0.28432986619217054, 0.06517049815904881, -0.24279471995943736, -0.09620582976688942, 0.24460827107763006, -0.09690681995735281, -0.021095063273484507, -0.002095634618862754, 0.1244996625043097, -0.03935586811885947, -0.34727564700657415, 0.37108207061177206, -0.023988636697287714, 0.26388614887282963, 0.10988837022866521, 0.06835578666733844, 0.06030281227348106, -0.07412451564201288, 0.0038436050127659527, -0.15649121184757123, 0.14585179891714473, 0.29087428581856545, 0.03613477606281993, 0.23543023653328418, -0.3708953539175647, -0.15451854542119517, 0.2163675870036795, 0.12302894374089582, 0.08027458548368442, -0.029326608175012682, -0.20897775276098401, 0.1245900739339136, -0.18426832771815715, -0.1791832123084792, 0.006358262528859389, 0.07190773055245657, 0.014427729704905124, -0.2199151707901841, 0.039405571509684836, 0.10405665772323984, 0.08228089424859111, -0.04992312276791338, -0.17514043758024594, 0.00443833437083023, 0.11647436818817541, 0.0732188877250467, -0.005548056898017724, 0.027270697771261135, -0.0840241754094937, -0.10490895470692999, 0.330361733621075, -0.05194258042832925, -0.18951920042967513, 0.19388119634240866, -0.17810250295414812, -0.21035793623887003, 0.0821587923271138, 0.14648997915819997, 0.16742987062233233, -0.03243221471174842, 0.17134770545942177, -0.1493706988436835, 0.1173418706903855, 0.1286384064792877, 0.016612336618847968, 0.08981861983913751, 0.08046409154222126, 0.10672574741876728, 0.127407899597061, 0.012429639521897549, -0.05367772914469242, -0.34972450914127484, -0.15488202732965528, -0.12048358011635996, 0.08718267991429283, -0.11555113043771902, -0.1646015342125403, 0.3651710593629451, 0.1047734436506982, 0.18033024485976923, 0.1200858506080251, 0.2585297311345736, 0.06417336950876883, 0.031197698180386355, 0.08195098693526927, 0.1538188057818583, 0.21412368198812362, -0.04268850851360531, -0.1472508185177243, 0.039553144578600215, 0.15891728426906324] |
712.0332 | Duality of Chordal SLE | We derive some geometric properties of chordal SLE$(\kappa;\vec{\rho})$
processes. Using these results and the method of coupling two SLE processes, we
prove that the outer boundary of the final hull of a chordal
SLE$(\kappa;\vec{\rho})$ process has the same distribution as the image of a
chordal SLE$(\kappa';\vec{\rho'})$ trace, where $\kappa>4$,
$\kappa'=16/\kappa$, and the forces $\vec{\rho}$ and $\vec{\rho'}$ are suitably
chosen. We find that for $\kappa\ge 8$, the boundary of a standard chordal
SLE$(\kappa)$ hull stopped on swallowing a fixed $x\in\R\sem\{0\}$ is the image
of some SLE$(16/\kappa;\vec{\rho})$ trace started from $x$. Then we obtain a
new proof of the fact that chordal SLE$(\kappa)$ trace is not reversible for
$\kappa>8$. We also prove that the reversal of SLE$(4;\vec{\rho})$ trace has
the same distribution as the time-change of some SLE$(4;\vec{\rho'})$ trace for
certain values of $\vec{\rho}$ and $\vec{\rho'}$.
| math.PR | we derive some geometric properties of chordal slekappavecrho processes using these results and the method of coupling two sle processes we prove that the outer boundary of the final hull of a chordal slekappavecrho process has the same distribution as the image of a chordal slekappavecrho trace where kappa4 kappa16kappa and the forces vecrho and vecrho are suitably chosen we find that for kappage 8 the boundary of a standard chordal slekappa hull stopped on swallowing a fixed xinrsem0 is the image of some sle16kappavecrho trace started from x then we obtain a new proof of the fact that chordal slekappa trace is not reversible for kappa8 we also prove that the reversal of sle4vecrho trace has the same distribution as the timechange of some sle4vecrho trace for certain values of vecrho and vecrho | [['we', 'derive', 'some', 'geometric', 'properties', 'of', 'chordal', 'slekappavecrho', 'processes', 'using', 'these', 'results', 'and', 'the', 'method', 'of', 'coupling', 'two', 'sle', 'processes', 'we', 'prove', 'that', 'the', 'outer', 'boundary', 'of', 'the', 'final', 'hull', 'of', 'a', 'chordal', 'slekappavecrho', 'process', 'has', 'the', 'same', 'distribution', 'as', 'the', 'image', 'of', 'a', 'chordal', 'slekappavecrho', 'trace', 'where', 'kappa4', 'kappa16kappa', 'and', 'the', 'forces', 'vecrho', 'and', 'vecrho', 'are', 'suitably', 'chosen', 'we', 'find', 'that', 'for', 'kappage', '8', 'the', 'boundary', 'of', 'a', 'standard', 'chordal', 'slekappa', 'hull', 'stopped', 'on', 'swallowing', 'a', 'fixed', 'xinrsem0', 'is', 'the', 'image', 'of', 'some', 'sle16kappavecrho', 'trace', 'started', 'from', 'x', 'then', 'we', 'obtain', 'a', 'new', 'proof', 'of', 'the', 'fact', 'that', 'chordal', 'slekappa', 'trace', 'is', 'not', 'reversible', 'for', 'kappa8', 'we', 'also', 'prove', 'that', 'the', 'reversal', 'of', 'sle4vecrho', 'trace', 'has', 'the', 'same', 'distribution', 'as', 'the', 'timechange', 'of', 'some', 'sle4vecrho', 'trace', 'for', 'certain', 'values', 'of', 'vecrho', 'and', 'vecrho']] | [-0.10423801092849683, 0.10411068266925452, -0.13509425492018692, 0.05822787413790349, -0.06716550946733806, -0.12203240882634192, 0.01880626240384209, 0.3726775909723469, -0.30866985967158983, -0.19407754374104877, 0.1520270386515835, -0.26043492737551066, -0.11621687142900372, 0.16566170487993273, -0.06319790472846853, 0.06144475332714433, 0.0686563303109345, 0.06721618910890448, -0.05650058366329402, -0.2112087272757361, 0.3271298978889231, -0.03544416826564905, 0.1681932327337563, 0.07750795251787315, 0.11793363526059214, 0.008802167980123109, -0.012325447410085174, 0.011099541244862328, -0.16869151908222968, 0.07046079785064903, 0.16569261930209708, 0.14678169380469147, 0.20276491487644208, -0.3796641384359709, -0.15319788743481907, 0.15466736305086304, 0.11921921456160471, 0.027441225726655576, -0.02629869879681848, -0.2426040160303661, 0.10401500647800953, -0.07528080271427022, -0.1465908678956041, -0.0034073741038062777, 0.06406413765205432, 0.043961272923304706, -0.2893080487125373, 0.039177651987943526, 0.14834793946749075, 0.045766898091564805, -0.04591613392482779, -0.1315483237046373, -0.06768124733235716, 0.11849871835158776, -0.006274305713812409, 0.02832747664114879, 0.11919171054840319, -0.10442319927491651, -0.10618588205629079, 0.3337249092869605, -0.08284129071691933, -0.1861932284321434, 0.1577117690697399, -0.18503092091472806, -0.18530293868614592, 0.08771622959274417, 0.10592365667202272, 0.1791331088386996, -0.15764326654923286, 0.1369042393675637, -0.10550229484395868, 0.06159426367574537, 0.11564597360746459, -0.003268043165882082, 0.11874720441220804, 0.09160899772315986, 0.11079106042017192, 0.1866482073213732, -0.08033366707630109, -0.06180973158239625, -0.35941990906040566, -0.20354657559186334, -0.18578189138012627, 0.07536677245148583, -0.1609284850518768, -0.19224234344437718, 0.3568787715188408, 0.1231515592770911, 0.23513056024865703, 0.13670172198502303, 0.19680600775073664, 0.10730116457548426, 0.050056686730244986, 0.10815346993635906, 0.18485686264534176, 0.16574292106539473, 0.024005227242127176, -0.19963935222079646, 0.0933408858074063, 0.10681844995061095] |
712.0333 | Application of the anisotropic bond model to second-harmonic generation
from amorphous media | As a step toward analyzing second-harmonic generation (SHG) from crystalline
Si nanospheres in glass, we develop an anisotropic bond model (ABM) that
expresses SHG in terms of physically meaningful parameters and provides a
detailed understanding of the basic physics of SHG on the atomic scale.
Nonlinear-optical (NLO) responses are calculated classically via the four
fundamental steps of optics: evaluate the local field at a given bond site,
solve the force equation for the acceleration of the charge, calculate the
resulting radiation, then superpose the radiation from all charges. The ABM
goes beyond previous bond models by including the complete set of underlying
contributions: retardation (RD), spatial-dispersion (SD), and magnetic (MG)
effects, in addition to the anharmonic restoring force acting on the bond
charge. We apply the ABM to obtain analytic expressions for SHG from amorphous
materials under Gaussian-beam excitation. These materials represent an
interesting test case not only because they are ubiquitous but also because the
anharmonic-force contribution that dominates the SHG response of crystalline
materials and ordered interfaces vanishes by symmetry. Using the paraxial-ray
approximation, we reduce the results to the isotropic case in two limits, that
where the linear restoring force dominates (glasses), and that where it is
absent (metals). Both forward- and backscattering geometries are discussed.
Estimated signal strengths and conversion efficiencies for fused silica appear
to be in general agreement with data, where available. Predictions are made
that allow additional critical tests of these results.
| physics.optics | as a step toward analyzing secondharmonic generation shg from crystalline si nanospheres in glass we develop an anisotropic bond model abm that expresses shg in terms of physically meaningful parameters and provides a detailed understanding of the basic physics of shg on the atomic scale nonlinearoptical nlo responses are calculated classically via the four fundamental steps of optics evaluate the local field at a given bond site solve the force equation for the acceleration of the charge calculate the resulting radiation then superpose the radiation from all charges the abm goes beyond previous bond models by including the complete set of underlying contributions retardation rd spatialdispersion sd and magnetic mg effects in addition to the anharmonic restoring force acting on the bond charge we apply the abm to obtain analytic expressions for shg from amorphous materials under gaussianbeam excitation these materials represent an interesting test case not only because they are ubiquitous but also because the anharmonicforce contribution that dominates the shg response of crystalline materials and ordered interfaces vanishes by symmetry using the paraxialray approximation we reduce the results to the isotropic case in two limits that where the linear restoring force dominates glasses and that where it is absent metals both forward and backscattering geometries are discussed estimated signal strengths and conversion efficiencies for fused silica appear to be in general agreement with data where available predictions are made that allow additional critical tests of these results | [['as', 'a', 'step', 'toward', 'analyzing', 'secondharmonic', 'generation', 'shg', 'from', 'crystalline', 'si', 'nanospheres', 'in', 'glass', 'we', 'develop', 'an', 'anisotropic', 'bond', 'model', 'abm', 'that', 'expresses', 'shg', 'in', 'terms', 'of', 'physically', 'meaningful', 'parameters', 'and', 'provides', 'a', 'detailed', 'understanding', 'of', 'the', 'basic', 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712.0334 | Retrieval of electron-atom scattering cross sections from laser-induced
electron rescattering of atomic negative ions in intense laser fields | We investigated the two-dimensional electron momentum distributions of atomic
negative ions in an intense laser field by solving the time-dependent
Schrodinger equation (TDSE) and using the first- and 2nd-order strong-field
approximations (SFA). We showed that photoelectron energy distributions and
low-energy photoelectron momentum spectra predicted from SFA are in reasonable
agreement with the solutions from the TDSE. More importantly, we showed that
accurate electron-atom elastic scattering cross sections can be retrieved
directly from high-energy electron momentum spectra of atomic negative ions in
the laser field. This opens up the possibility of measuring electron-atom and
electron-molecule scattering cross sections from the photodetachment of atomic
and molecular negative ions by intense short lasers, respectively, with
temporal resolutions in the order of femtoseconds.
| physics.atom-ph | we investigated the twodimensional electron momentum distributions of atomic negative ions in an intense laser field by solving the timedependent schrodinger equation tdse and using the first and 2ndorder strongfield approximations sfa we showed that photoelectron energy distributions and lowenergy photoelectron momentum spectra predicted from sfa are in reasonable agreement with the solutions from the tdse more importantly we showed that accurate electronatom elastic scattering cross sections can be retrieved directly from highenergy electron momentum spectra of atomic negative ions in the laser field this opens up the possibility of measuring electronatom and electronmolecule scattering cross sections from the photodetachment of atomic and molecular negative ions by intense short lasers respectively with temporal resolutions in the order of femtoseconds | [['we', 'investigated', 'the', 'twodimensional', 'electron', 'momentum', 'distributions', 'of', 'atomic', 'negative', 'ions', 'in', 'an', 'intense', 'laser', 'field', 'by', 'solving', 'the', 'timedependent', 'schrodinger', 'equation', 'tdse', 'and', 'using', 'the', 'first', 'and', '2ndorder', 'strongfield', 'approximations', 'sfa', 'we', 'showed', 'that', 'photoelectron', 'energy', 'distributions', 'and', 'lowenergy', 'photoelectron', 'momentum', 'spectra', 'predicted', 'from', 'sfa', 'are', 'in', 'reasonable', 'agreement', 'with', 'the', 'solutions', 'from', 'the', 'tdse', 'more', 'importantly', 'we', 'showed', 'that', 'accurate', 'electronatom', 'elastic', 'scattering', 'cross', 'sections', 'can', 'be', 'retrieved', 'directly', 'from', 'highenergy', 'electron', 'momentum', 'spectra', 'of', 'atomic', 'negative', 'ions', 'in', 'the', 'laser', 'field', 'this', 'opens', 'up', 'the', 'possibility', 'of', 'measuring', 'electronatom', 'and', 'electronmolecule', 'scattering', 'cross', 'sections', 'from', 'the', 'photodetachment', 'of', 'atomic', 'and', 'molecular', 'negative', 'ions', 'by', 'intense', 'short', 'lasers', 'respectively', 'with', 'temporal', 'resolutions', 'in', 'the', 'order', 'of', 'femtoseconds']] | [-0.0389695123430858, 0.19756761160123987, -0.06392562079063359, 0.09931790263943781, 0.061340628645750656, -0.10638788714613609, -0.012906471182232206, 0.45745688895186204, -0.23077471270578123, -0.3006005813563321, -0.11636723375276607, -0.3450939248652518, -0.018583602124253803, 0.21757293392379745, 0.09350548351199187, 0.1058087705658013, 0.0720395389944315, -0.07447102910079875, -0.05678754713495865, -0.12784069738186457, 0.3133169729732165, 0.12999414543018623, 0.2345068985752824, 0.11987800462007084, 0.10567368621969235, 0.07959405743485677, -0.007554229918256903, -0.01661533354716757, -0.12497592550746905, 0.13691529066168837, 0.26033019184275774, -0.0265899992180096, 0.19340401120139522, -0.5033727231584176, -0.20194450117052853, -0.012552563992755473, 0.15333227887593148, 0.1875304035498064, -0.09419915324505986, -0.2963603757666189, -0.057353173726934846, -0.14238785522669054, -0.12550932521924002, -0.1265532162662658, 0.02993603466477777, 0.11657270014642135, -0.26112874618441867, 0.10154539744267944, -0.028664567171275114, 0.04094130806272708, -0.15511435894452097, -0.08147695601894324, -0.022398531454529205, 0.006351257682222279, 0.050406022811261546, 0.03735538076085015, 0.15573436028848425, -0.11279665109184923, -0.10476880712325082, 0.3941081830245607, -0.11563805151366856, -0.11279215644105893, 0.11362412552732755, -0.25685493327176373, -0.04185355052414561, 0.27609298797715615, 0.11094736936697815, 0.17973884731969414, -0.14259398030508466, 0.08029807400214682, -0.009137250231618077, 0.20177181284217274, 0.17873588120251768, 0.038984844820540175, 0.1534566614980332, 0.1145322574067767, -0.02314226557852841, 0.05171451422468047, -0.15455643766943147, -0.08178698956700307, -0.25175000569086614, -0.10400550684218095, -0.14076652155578637, 0.10819104353568572, -0.039882089362940513, -0.07674350134613571, 0.3661683384532563, 0.1191842792626126, 0.17263869327266052, -0.06637933697676708, 0.3368841664544737, 0.18846853567334285, 0.0026762979535558144, 0.0401132038340536, 0.26987754150896387, 0.18940522875871604, 0.1317875223437778, -0.29060764517635107, 0.016267498796649214, 0.024490231158947495] |
712.0335 | Excitable systems with noise and delay with applications to control:
renewal theory approach | We present an approach for the analytical treatment of excitable systems with
noise-induced dynamics in the presence of time delay. An excitable system is
modeled as a bistable system with a time delay, while another delay enters as a
control term taken after [Pyragas 1992] as a difference between the current
system state and its state "tau" time units before. This approach combines the
elements of renewal theory to estimate the essential features of the resulting
stochastic process as functions of the parameters of the controlling term.
| nlin.CD | we present an approach for the analytical treatment of excitable systems with noiseinduced dynamics in the presence of time delay an excitable system is modeled as a bistable system with a time delay while another delay enters as a control term taken after pyragas 1992 as a difference between the current system state and its state tau time units before this approach combines the elements of renewal theory to estimate the essential features of the resulting stochastic process as functions of the parameters of the controlling term | [['we', 'present', 'an', 'approach', 'for', 'the', 'analytical', 'treatment', 'of', 'excitable', 'systems', 'with', 'noiseinduced', 'dynamics', 'in', 'the', 'presence', 'of', 'time', 'delay', 'an', 'excitable', 'system', 'is', 'modeled', 'as', 'a', 'bistable', 'system', 'with', 'a', 'time', 'delay', 'while', 'another', 'delay', 'enters', 'as', 'a', 'control', 'term', 'taken', 'after', 'pyragas', '1992', 'as', 'a', 'difference', 'between', 'the', 'current', 'system', 'state', 'and', 'its', 'state', 'tau', 'time', 'units', 'before', 'this', 'approach', 'combines', 'the', 'elements', 'of', 'renewal', 'theory', 'to', 'estimate', 'the', 'essential', 'features', 'of', 'the', 'resulting', 'stochastic', 'process', 'as', 'functions', 'of', 'the', 'parameters', 'of', 'the', 'controlling', 'term']] | [-0.18613980010944023, 0.0876375189637792, -0.07486871927548414, 0.0007333738774560651, 0.023686358683753288, -0.14538740190602412, 0.0916068887822437, 0.32542384657794715, -0.31915182920022944, -0.2786574353967076, 0.09835060140861991, -0.24612183379137825, -0.18379430492454069, 0.18587971091184807, -0.02772861448298583, 0.052118828021733885, 0.05025466923312894, 0.055780707347345936, -0.017860238718661083, -0.17827108088110027, 0.2780954724113489, 0.06915870992381168, 0.2033431380585735, -0.038982706893792095, 0.17886510402922273, 0.007653214034742151, -0.0019459641035432104, -0.009785481747346877, -0.055472701430674, 0.02626571707941335, 0.20508217220676356, 0.09176109416474557, 0.316028170373248, -0.4777966285145831, -0.26982490566489553, 0.07866243747780206, 0.12468459119922588, 0.12489969139629654, -0.018295798761149246, -0.2970589703783907, -0.0038788058398955168, -0.17760828217684194, -0.15508076518602754, -0.013141774572432041, 0.07028185278070213, 0.04259945411467925, -0.2887717569260269, 0.09485791294953261, 0.06698453665614643, 0.01459288918252649, -0.08124333187728992, -0.04492700726313024, -0.008232000514051352, 0.19853072170497335, 0.03266457440672796, 0.02460997468181725, 0.12604780370455193, -0.12772445194155577, -0.12058444162723662, 0.3558635785105242, -0.1104569660911829, -0.1757255202351973, 0.14777152717177724, -0.05804023661131532, -0.06486614339653103, 0.1252037974063778, 0.18878987497227245, 0.10310984494956746, -0.1951368812407399, 0.04175833793492163, 0.00991060179069467, 0.2219719433322035, -0.010791031750796855, 0.06447761522434738, 0.1396803237155251, 0.25992186695348, 0.06536506451452258, 0.13550252528946805, -0.06320073099368005, -0.15358674558329172, -0.3308078654153251, -0.1376202304515688, -0.12588153842130098, 0.04127668377665011, -0.08789691236923883, -0.1755494314149536, 0.4176070513738983, 0.11155076114856906, 0.20347854827032907, 0.07285904812348214, 0.30559359036985484, 0.2185089468324407, 0.01866776739707452, 0.0166284270456125, 0.1893630039546339, 0.13562728635881138, 0.1705541414042785, -0.30405500424148024, 0.13508222256412453, 0.0812877689798673] |
712.0336 | A maximum principle for relaxed stochastic control of linear SDE's with
application to bond portfolio optimization | We study relaxed stochastic control problems where the state equation is a
one dimensional linear stochastic differential equation with random and
unbounded coefficients. The two main results are existence of an optimal
relaxed control and necessary conditions for optimality in the form of a
relaxed maximum principle. The main motivation is an optimal bond portfolio
problem in a market where there exists a continuum of bonds and the portfolio
weights are modeled as measure-valued processes on the set of times to
maturity.
| math.OC | we study relaxed stochastic control problems where the state equation is a one dimensional linear stochastic differential equation with random and unbounded coefficients the two main results are existence of an optimal relaxed control and necessary conditions for optimality in the form of a relaxed maximum principle the main motivation is an optimal bond portfolio problem in a market where there exists a continuum of bonds and the portfolio weights are modeled as measurevalued processes on the set of times to maturity | [['we', 'study', 'relaxed', 'stochastic', 'control', 'problems', 'where', 'the', 'state', 'equation', 'is', 'a', 'one', 'dimensional', 'linear', 'stochastic', 'differential', 'equation', 'with', 'random', 'and', 'unbounded', 'coefficients', 'the', 'two', 'main', 'results', 'are', 'existence', 'of', 'an', 'optimal', 'relaxed', 'control', 'and', 'necessary', 'conditions', 'for', 'optimality', 'in', 'the', 'form', 'of', 'a', 'relaxed', 'maximum', 'principle', 'the', 'main', 'motivation', 'is', 'an', 'optimal', 'bond', 'portfolio', 'problem', 'in', 'a', 'market', 'where', 'there', 'exists', 'a', 'continuum', 'of', 'bonds', 'and', 'the', 'portfolio', 'weights', 'are', 'modeled', 'as', 'measurevalued', 'processes', 'on', 'the', 'set', 'of', 'times', 'to', 'maturity']] | [-0.13333687131724706, 0.062011003497457015, -0.0520052441009661, 0.0817895480971102, -0.07543292649306084, -0.14056697880803812, 0.06076519786119007, 0.3507273404563709, -0.34587368135136076, -0.19992789853273368, 0.19517347774547866, -0.24985819890322844, -0.11587885490096198, 0.15610428872268375, -0.0754207493510188, 0.10222038341595269, 0.04766746138779038, -0.003268514725765804, 0.0023141250968342873, -0.25822403241039776, 0.33438761569786724, -0.009680211407745757, 0.24802425774041473, 0.017318933293586823, 0.18873303919063777, 0.0017065833742934756, 0.040832133100527086, 0.03161085976242292, -0.16413242997681132, 0.10709802531381706, 0.27340052113300417, 0.10278452845949043, 0.3869031348333853, -0.4365561613131587, -0.15155166203564988, 0.12820466093310132, 0.04730835093381224, 0.08813106462859162, -0.007084742240982539, -0.21305547306234607, 0.0744738532343834, -0.11867824699956833, -0.14766547946463815, 0.004648317015025674, 0.012092651231441556, 0.051073075473740154, -0.3664030401127004, 0.08796844441761695, 0.06332903452467446, -0.009287430087059009, -0.1340288655014663, -0.1374299236595994, -0.046330211510904495, 0.0838190586130112, 0.04931012998198772, -0.02574509599461879, 0.09281942401671918, -0.11638531494410438, -0.174525756184466, 0.3787604838655126, -0.07040999935962623, -0.23552681160409275, 0.1461956469887277, -0.07668988029586106, -0.1516657817921397, 0.12132893006953342, 0.18579913938145448, 0.12053503984267391, -0.22585139757521996, 0.09388886176109337, -0.07960881586981619, 0.15129609596801968, 0.04456734553933507, 0.004530497003210391, 0.10601430480004992, 0.2019465743598142, 0.2138650321924105, 0.16244871015149373, 0.026524399512265696, -0.19255913250012005, -0.3469899914954312, -0.13250833352681296, -0.15800556405049906, 0.07967079519407778, -0.15891024385094102, -0.17492217469034807, 0.330142959421387, 0.09217220317876171, 0.14959605962674066, 0.08646666442566528, 0.23395485108826172, 0.21831088872905394, -0.03554629289158961, 0.07713213079131959, 0.17297977240892445, 0.15904014642781963, 0.08516113118910254, -0.21109051882607363, 0.11399131704394411, 0.06331718812991934] |
712.0337 | On the transition to efficiency in Minority Games | The existence of a phase transition with diverging susceptibility in batch
Minority Games (MGs) is the mark of informationally efficient regimes and is
linked to the specifics of the agents' learning rules. Here we study how the
standard scenario is affected in a mixed population game in which agents with
the `optimal' learning rule (i.e. the one leading to efficiency) coexist with
ones whose adaptive dynamics is sub-optimal. Our generic finding is that any
non-vanishing intensive fraction of optimal agents guarantees the existence of
an efficient phase. Specifically, we calculate the dependence of the critical
point on the fraction $q$ of `optimal' agents focusing our analysis on three
cases: MGs with market impact correction, grand-canonical MGs and MGs with
heterogeneous comfort levels.
| physics.soc-ph cond-mat.dis-nn cond-mat.stat-mech q-fin.GN q-fin.TR | the existence of a phase transition with diverging susceptibility in batch minority games mgs is the mark of informationally efficient regimes and is linked to the specifics of the agents learning rules here we study how the standard scenario is affected in a mixed population game in which agents with the optimal learning rule ie the one leading to efficiency coexist with ones whose adaptive dynamics is suboptimal our generic finding is that any nonvanishing intensive fraction of optimal agents guarantees the existence of an efficient phase specifically we calculate the dependence of the critical point on the fraction q of optimal agents focusing our analysis on three cases mgs with market impact correction grandcanonical mgs and mgs with heterogeneous comfort levels | [['the', 'existence', 'of', 'a', 'phase', 'transition', 'with', 'diverging', 'susceptibility', 'in', 'batch', 'minority', 'games', 'mgs', 'is', 'the', 'mark', 'of', 'informationally', 'efficient', 'regimes', 'and', 'is', 'linked', 'to', 'the', 'specifics', 'of', 'the', 'agents', 'learning', 'rules', 'here', 'we', 'study', 'how', 'the', 'standard', 'scenario', 'is', 'affected', 'in', 'a', 'mixed', 'population', 'game', 'in', 'which', 'agents', 'with', 'the', 'optimal', 'learning', 'rule', 'ie', 'the', 'one', 'leading', 'to', 'efficiency', 'coexist', 'with', 'ones', 'whose', 'adaptive', 'dynamics', 'is', 'suboptimal', 'our', 'generic', 'finding', 'is', 'that', 'any', 'nonvanishing', 'intensive', 'fraction', 'of', 'optimal', 'agents', 'guarantees', 'the', 'existence', 'of', 'an', 'efficient', 'phase', 'specifically', 'we', 'calculate', 'the', 'dependence', 'of', 'the', 'critical', 'point', 'on', 'the', 'fraction', 'q', 'of', 'optimal', 'agents', 'focusing', 'our', 'analysis', 'on', 'three', 'cases', 'mgs', 'with', 'market', 'impact', 'correction', 'grandcanonical', 'mgs', 'and', 'mgs', 'with', 'heterogeneous', 'comfort', 'levels']] | [-0.15284385513056253, 0.10236419205848207, -0.10294157250967549, 0.04270283468010393, -0.061273702672209406, -0.15467799156446194, 0.1331989947796158, 0.3625746060422332, -0.23483989259884616, -0.283429954971996, 0.10413962182088862, -0.294661136679962, -0.15351160134849154, 0.1119858155210243, -0.06091049749983406, 0.013211760765369066, 0.02843488535278889, 0.01459570275619626, -0.023005400820574187, -0.286775796158911, 0.3535173040066586, 0.06820506123886978, 0.3144385054379274, 0.0018930959851160402, 0.09879584826116801, 0.005165274934385155, 0.022258844230415634, 0.045995968519089166, -0.11910861599495011, 0.09266415625413665, 0.2754727265469302, 0.09961757066155799, 0.3173905283243197, -0.384167727220376, -0.15433624414841599, 0.17705818652137198, 0.1022003346168604, 0.09171115009869892, -0.030778716503428755, -0.20913035684402603, 0.07157235500616495, -0.1635759370935867, -0.09852179619922592, -0.07417969453648557, -0.02993401825274379, 0.03860116589692284, -0.31960242563003644, 0.0878999301033919, 0.036435439724658354, 0.0417109709328468, -0.09095724923326252, -0.12609077028960722, -0.01711415886792133, 0.15858973917211636, 0.012958805968977328, -0.03458062985140952, 0.1803452289266298, -0.14526472450997374, -0.1407689616307387, 0.3827864826183583, -0.03202506955942047, -0.15205877784593794, 0.1762356913236321, -0.1212077281956912, -0.12586642524654992, 0.1491732685445029, 0.17445097731919693, 0.13485462798643474, -0.12210875930508873, 0.020216005956410567, -0.03552143024586019, 0.1882060263470506, -0.00628654155727537, 0.04153790625650054, 0.1807064605518015, 0.19509035807683087, 0.1303212198984168, 0.1470192519558563, -0.021516497292723813, -0.19566998219491577, -0.2563013515919905, -0.1226879965025382, -0.17677883119093346, 0.024128182024454516, -0.13080121066824907, -0.18439146704479412, 0.33641642179401193, 0.15827138304756191, 0.16751355472136267, 0.06790496066277542, 0.30085989277519776, 0.10239014480659953, 0.03122186376789554, 0.09202701891161745, 0.23781662085856936, 0.04517036658085761, 0.1102383935186615, -0.2920013408168967, 0.13696206964888288, 0.019027961708116728] |
712.0338 | Weak distinction and the optimal definition of causal continuity | Causal continuity is usually defined by imposing the conditions (i)
distinction and (ii) reflectivity. It is proved here that a new causality
property which stays between weak distinction and causality, called feeble
distinction, can actually replace distinction in the definition of causal
continuity. An intermediate proof shows that feeble distinction and future
(past) reflectivity implies past (resp. future) distinction. Some new
characterizations of weak distinction and reflectivity are given.
| gr-qc | causal continuity is usually defined by imposing the conditions i distinction and ii reflectivity it is proved here that a new causality property which stays between weak distinction and causality called feeble distinction can actually replace distinction in the definition of causal continuity an intermediate proof shows that feeble distinction and future past reflectivity implies past resp future distinction some new characterizations of weak distinction and reflectivity are given | [['causal', 'continuity', 'is', 'usually', 'defined', 'by', 'imposing', 'the', 'conditions', 'i', 'distinction', 'and', 'ii', 'reflectivity', 'it', 'is', 'proved', 'here', 'that', 'a', 'new', 'causality', 'property', 'which', 'stays', 'between', 'weak', 'distinction', 'and', 'causality', 'called', 'feeble', 'distinction', 'can', 'actually', 'replace', 'distinction', 'in', 'the', 'definition', 'of', 'causal', 'continuity', 'an', 'intermediate', 'proof', 'shows', 'that', 'feeble', 'distinction', 'and', 'future', 'past', 'reflectivity', 'implies', 'past', 'resp', 'future', 'distinction', 'some', 'new', 'characterizations', 'of', 'weak', 'distinction', 'and', 'reflectivity', 'are', 'given']] | [-0.17298062246940707, 0.15183861855526312, -0.14804511341144858, 0.11905846009503349, -0.17465671515969586, -0.21466716559117902, 0.059230998536382896, 0.4034299266565105, -0.30670965055300703, -0.25484099827598833, 0.06911359549047884, -0.2638627175187719, -0.1557845054599254, 0.14763112528168637, -0.12115174035906144, -0.027997311555605003, 0.049077378354791173, 0.020071585763893698, -0.12043681023372473, -0.13046190098090016, 0.3356253349802632, 0.02479768058528071, 0.3060280144336107, 0.10226282110923658, 0.08337211923376806, 0.04779418697580695, -0.07019821039495477, 0.05700863533369873, -0.11248582349841288, 0.046374355807252556, 0.2328867314474495, 0.17459804289366887, 0.2950577468111895, -0.39713248821056407, -0.20474331912355145, 0.14898792169718206, 0.06109750206055849, -0.0029466042406452093, -0.04287136423037104, -0.2781384315803998, 0.04376582051391133, -0.07776202507101107, -0.12217120278923624, -0.09551664920982675, 0.06121574995526369, -0.0731334980185805, -0.23559267602968906, 0.1007198003674115, 0.16241492028685584, 0.11499444055168526, -0.050341989082432745, -0.005806729224496993, -0.034663573015427246, 0.08003608500449985, 0.06833125005030762, 0.010351773152343821, 0.053050310121498245, -0.12583244158683912, -0.04951617674584892, 0.2849222795254942, -0.021139281842371693, -0.14829197778380004, 0.25195645527792687, -0.14689801058367544, -0.12963891296606997, 0.05867232428188773, 0.027707426295872185, 0.07755524583457821, -0.19711746081061984, 0.07636064513370502, -0.042377826629503484, 0.16202917533076328, 0.187859989102066, 0.135399183217922, 0.2225436859804651, 0.12570218258685822, 0.08369974756235446, 0.050192891282663826, -0.024704257026314735, -0.07172911859832812, -0.3997661611875114, -0.16942086553983932, -0.12561354641313327, 0.040357250639277954, -0.0523196827422868, -0.17290974251817967, 0.27709984388944786, 0.1402147208691399, 0.1506806131641286, 0.08112716190415718, 0.24879110569431298, 0.08824671032514585, 0.012246322244459736, 0.044466567306738834, 0.3476742055436657, 0.1941073220560624, 0.0729614081590072, -0.12632372320049268, 0.17531320126052352, 0.05812102213393951] |
712.0339 | Non-equilibrium fluctuation theorems in the presence of local heating | We study two non-equilibrium work fluctuation theorems, the Crooks' theorem
and the Jarzynski equality, for a test system coupled to a spatially extended
heat reservoir whose degrees of freedom are explicitly modeled. The sufficient
conditions for the validity of the theorems are discussed in detail and
compared to the case of classical Hamiltonian dynamics. When the conditions are
met the fluctuation theorems are shown to hold despite the fact that the
immediate vicinity of the test system goes out of equilibrium during an
irreversible process. We also study the effect of the coupling to the heat
reservoir on the convergence of $<\exp(-\beta W)>$ to its theoretical mean
value, where $W$ is the work done on the test system and $\beta$ is the inverse
temperature. It is shown that the larger the local heating, the slower the
convergence.
| cond-mat.stat-mech | we study two nonequilibrium work fluctuation theorems the crooks theorem and the jarzynski equality for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled the sufficient conditions for the validity of the theorems are discussed in detail and compared to the case of classical hamiltonian dynamics when the conditions are met the fluctuation theorems are shown to hold despite the fact that the immediate vicinity of the test system goes out of equilibrium during an irreversible process we also study the effect of the coupling to the heat reservoir on the convergence of expbeta w to its theoretical mean value where w is the work done on the test system and beta is the inverse temperature it is shown that the larger the local heating the slower the convergence | [['we', 'study', 'two', 'nonequilibrium', 'work', 'fluctuation', 'theorems', 'the', 'crooks', 'theorem', 'and', 'the', 'jarzynski', 'equality', 'for', 'a', 'test', 'system', 'coupled', 'to', 'a', 'spatially', 'extended', 'heat', 'reservoir', 'whose', 'degrees', 'of', 'freedom', 'are', 'explicitly', 'modeled', 'the', 'sufficient', 'conditions', 'for', 'the', 'validity', 'of', 'the', 'theorems', 'are', 'discussed', 'in', 'detail', 'and', 'compared', 'to', 'the', 'case', 'of', 'classical', 'hamiltonian', 'dynamics', 'when', 'the', 'conditions', 'are', 'met', 'the', 'fluctuation', 'theorems', 'are', 'shown', 'to', 'hold', 'despite', 'the', 'fact', 'that', 'the', 'immediate', 'vicinity', 'of', 'the', 'test', 'system', 'goes', 'out', 'of', 'equilibrium', 'during', 'an', 'irreversible', 'process', 'we', 'also', 'study', 'the', 'effect', 'of', 'the', 'coupling', 'to', 'the', 'heat', 'reservoir', 'on', 'the', 'convergence', 'of', 'expbeta', 'w', 'to', 'its', 'theoretical', 'mean', 'value', 'where', 'w', 'is', 'the', 'work', 'done', 'on', 'the', 'test', 'system', 'and', 'beta', 'is', 'the', 'inverse', 'temperature', 'it', 'is', 'shown', 'that', 'the', 'larger', 'the', 'local', 'heating', 'the', 'slower', 'the', 'convergence']] | [-0.121168043596133, 0.11243878621499676, -0.0935410695816696, 0.08403039691818338, 0.009890846425436275, -0.11944105821818005, 0.05118305633697713, 0.3033764296258888, -0.27127843754651554, -0.25256378201591057, 0.11590893520382199, -0.2711339045832627, -0.08766256376801834, 0.22401186582516797, -0.024221353137688917, 0.05959631768811535, 0.04319277816421495, 0.06885116640648321, -0.051126041017935005, -0.2607330193090504, 0.2944509246230234, 0.08520554452726659, 0.28701727205962213, 0.07733362376686512, 0.07625237017543647, -0.015860475600615525, 0.005859441893773466, 0.013486632586959885, -0.15996166510411017, 0.03799531438785612, 0.17288459949433313, 0.061918700508175106, 0.2761534936522154, -0.40283864255940177, -0.20071553881450074, 0.11527378029142418, 0.09209625498582032, 0.08039417212325943, 0.016422163277021506, -0.25490671855628655, 0.05415002173526607, -0.1243207868117241, -0.1734025874820939, -0.05171963234047956, 0.011868272693895728, 0.02903469332092761, -0.2784719162613806, 0.11774596383767101, 0.1601702173743533, 0.0333049696373896, -0.0582308642180419, -0.08468213353227878, -0.04850353745159006, 0.11218961619837448, 0.07595048146471076, -0.017263595867956425, 0.16905628975453604, -0.11782575863665037, -0.053848330129063725, 0.343460324036814, -0.04759331217484317, -0.19754244436605078, 0.2112361195664615, -0.1543923564948631, -0.1230794281263693, 0.0861286379526077, 0.12446249915409262, 0.12381062114757424, -0.19786998874180267, 0.10958057813334489, -0.02268444092767517, 0.11763689914432755, 0.041337896189414455, 0.025514433728055144, 0.16517632920974798, 0.13056822239937954, 0.04673574942701163, 0.1953101876144209, -0.05407898427483483, -0.16164241936465684, -0.34563541164907224, -0.1731384399361453, -0.2025157704432733, 0.07123304187085643, -0.08171872165443692, -0.12033997825984197, 0.3669520946912957, 0.18683329595458512, 0.12979561465037784, 0.05120596940540811, 0.25326370593690634, 0.17429643296118297, 0.01318854165270272, 0.07097126877982252, 0.2890251030547232, 0.217866127814309, 0.11142647226279886, -0.27472585804223415, 0.03541549266295603, 0.05231427506163009] |
712.034 | Challenges in Hadron Physics | The status of hadron physics at the end of the HADRON07 Conference is
reviewed. The latest results presented at the conference, as well as those
important developments in the field which were not represented, are included.
| hep-ex | the status of hadron physics at the end of the hadron07 conference is reviewed the latest results presented at the conference as well as those important developments in the field which were not represented are included | [['the', 'status', 'of', 'hadron', 'physics', 'at', 'the', 'end', 'of', 'the', 'hadron07', 'conference', 'is', 'reviewed', 'the', 'latest', 'results', 'presented', 'at', 'the', 'conference', 'as', 'well', 'as', 'those', 'important', 'developments', 'in', 'the', 'field', 'which', 'were', 'not', 'represented', 'are', 'included']] | [-0.052856678143143654, 0.1745959506104035, -0.03885679918208292, 0.06260324952392174, -0.05707436305071626, -0.07468354893582207, -0.07657625425074782, 0.29122858606278895, -0.20430006198585032, -0.37053446578127996, 0.19609556853704688, -0.3138929737465722, -0.10819293718252863, 0.22895983872669085, -0.010657560597506485, 0.04674717866416488, 0.06699789318123034, 0.11120317527758224, -0.0315684729388782, -0.3156073126542781, 0.28703351579606534, 0.1908156028283494, 0.268279069768531, 0.12950660522494997, 0.021470376902392934, 0.031474114342459614, -0.17395581379532815, 0.03837221397885254, -0.09472195112279483, 0.08160726473267589, 0.3333264025194304, 0.12593708257856115, 0.20104719059807913, -0.4471730200839894, -0.1340204687489729, -0.03256691390914576, 0.0970195726558034, 0.0943539474791448, -0.09342430547944137, -0.27551161481865816, 0.03130535017699003, -0.1607761792040297, -0.15987268414880548, 0.02417878597708685, -0.038027323433198035, 0.08219569566260491, -0.13752257282446537, 0.04092454904956477, 0.016616389557852277, 0.09001656918387328, -0.008813119187418903, -0.26725320278533865, -0.005134110984259418, 0.14264986956758158, 0.050092849128746564, 0.09485788034009082, 0.1108392502181232, -0.17232134291636092, -0.17813046320474574, 0.44868048770087104, -0.033127157070807045, -0.054306148099047796, 0.18803716333849088, -0.18479428641231996, -0.20044056504432645, 0.039199963717588354, 0.2325273821130395, 0.062861795936312, -0.1830445436494691, 0.1195197313225695, 0.03313209880143404, 0.08746190315910748, -0.006090014600860221, 0.0440685415108289, 0.27171341819422584, 0.2008464821747371, -0.09616612275796277, 0.06547484787047973, -0.03951222773508302, -0.13131786079279015, -0.45939340836235454, -0.09661197194031307, -0.1497559501656464, -0.046880616263868954, 0.10360877013632229, -0.09045016111007759, 0.38221957539873463, 0.1262108512754951, 0.22526073684649808, -0.057774416633349444, 0.2678967309849603, 0.08651791650668851, 0.05402492582798004, 0.043983211860592876, 0.3010079843657357, 0.13705711863003672, 0.214383102953434, -0.14319088960598622, 0.05757128684116261, 0.07602933727736984] |
712.0341 | Mechanics and Quantum Supermechanics of a Monopole Probe Including a
Coulomb Potential | A supersymmetric Lagrangian used to study D-particle probes in a D6-brane
background is exactly soluble. We present an analysis of the classical and
quantum mechanics of this theory, including classical trajectories in the
bosonic theory, and the exact quantum spectrum and wavefunctions, including
both bound and unbound states.
| hep-th | a supersymmetric lagrangian used to study dparticle probes in a d6brane background is exactly soluble we present an analysis of the classical and quantum mechanics of this theory including classical trajectories in the bosonic theory and the exact quantum spectrum and wavefunctions including both bound and unbound states | [['a', 'supersymmetric', 'lagrangian', 'used', 'to', 'study', 'dparticle', 'probes', 'in', 'a', 'd6brane', 'background', 'is', 'exactly', 'soluble', 'we', 'present', 'an', 'analysis', 'of', 'the', 'classical', 'and', 'quantum', 'mechanics', 'of', 'this', 'theory', 'including', 'classical', 'trajectories', 'in', 'the', 'bosonic', 'theory', 'and', 'the', 'exact', 'quantum', 'spectrum', 'and', 'wavefunctions', 'including', 'both', 'bound', 'and', 'unbound', 'states']] | [-0.08289549691835418, 0.1847633775447927, -0.12853305998335904, 0.13646251855728528, 0.031477937125600874, -0.16435150489754355, 0.0014982581924414262, 0.23926059098448604, -0.202950613379168, -0.279385622862416, 0.015204056840351162, -0.3182951300404966, -0.17142985214013606, 0.147831604621994, -0.009089755825698376, 0.0977472288844486, 0.01989394282766928, 0.0782374170764039, -0.06267380931725104, -0.18016073787293863, 0.25800633695325814, 0.028932401934677426, 0.24791780459539345, 0.06861711825392074, 0.08098086352886942, 0.053477549517992884, 0.02067822126749282, -0.0018672945831591885, -0.18274013620490828, 0.15695971636038544, 0.24320214676360288, 0.10122015301991875, 0.12576080051561198, -0.4664972811394061, -0.2414079014561139, 0.09189838504729171, 0.1607409758726135, 0.2406600952769319, -0.030218042937728267, -0.324317806342151, 0.01865020422458959, -0.1661009281136406, -0.1902096689445898, -0.08461392346362118, -0.02577785790587465, -0.0831599963712506, -0.16703884760984997, 0.11588377138832584, 0.028919766249600798, 0.03011074896979456, -0.0697525858025377, -0.05038410516863223, -0.007470420716951291, 0.10396054691712682, 0.01474842065848255, -0.003138383515761234, 0.1418932604622872, -0.20520104813719323, -0.18350882808833072, 0.41944367813024047, -0.08395290811313316, -0.23133093029415855, 0.19881221669493243, -0.08961917267879471, -0.16044062523481747, 0.07206547202076763, 0.1266703145165593, 0.17356291679122174, -0.1366378931949536, 0.2087563945921526, -0.0305561909917742, 0.1281087052387496, 0.017752417965918237, 0.08290372862635802, 0.22968634984378392, 0.06593625365834062, 0.009610347333364189, 0.15674469738344973, -0.054202170964951314, -0.225928728779157, -0.37061176588758826, -0.16967016579170982, -0.1511734692612663, 0.10872270791878691, -0.0428599944364881, -0.21489336065133102, 0.403008160336564, 0.07972313056961866, 0.14083279556750009, 0.01981330893856163, 0.25996537941197556, 0.11568362031054373, -0.030423011087502044, 0.05136315933001848, 0.2397635126641641, 0.2072281416816016, -0.013729358480001489, -0.2484781246263689, -0.13916387153828205, 0.12381416213853906] |
712.0342 | Proper motions of ROSAT discovered isolated neutron stars measured with
Chandra: First X-ray measurement of the large proper motion of RX
J1308.6+2127/RBS 1223 | The unprecedented spatial resolution of the Chandra observatory opens the
possibility to detect with relatively high accuracy proper motions at X-ray
wavelengths. We have conducted an astrometric study of three of the
"Magnificent Seven", the thermally emitting radio quiet isolated neutron stars
(INSs) discovered by ROSAT. These three INSs (RX J0420.0-5022, RX J0806.4-4123
and RX J1308.6+2127/RBS 1223) either lack an optical counterpart or have one
too faint to be used for astrometric purposes. We obtained ACIS observations 3
to 5 years apart to constrain or measure the displacement of the sources on the
X-ray sky using as reference the background of extragalactic or remote galactic
X-ray sources. Upper limits of 138 mas/yr and 76 mas/yr on the proper motion of
RX J0420.0-5022 and RX J0806.4-4123, respectively, have already been presented
in Motch et al. (2007). Here we report the very significant measurement (~ 10
sigma) of the proper motion of the third INS of our program, RX
J1308.6+2127/RBS1223. Comparing observations obtained in 2002 and 2007 reveals
a displacement of 1.1 arcsec implying a yearly proper motion of 223 mas, the
second fastest measured for the ROSAT discovered INSs. The source is rapidly
moving away from the galactic plane at a speed which precludes any significant
accretion of matter from the interstellar medium. Its transverse velocity of ~
740 (d/700pc) km/s might be the largest of the "Magnificent Seven" and among
the fastest recorded for neutron stars. RX J1308.6+2127/RBS1223 is thus a young
high velocity cooling neutron star. The source may have its origin in the
closest part of the Scutum OB2 association about 0.8 Myr ago, an age consistent
with that expected from cooling curves, but significantly younger than inferred
from pulse timing measurements (1.5 Myr).
| astro-ph | the unprecedented spatial resolution of the chandra observatory opens the possibility to detect with relatively high accuracy proper motions at xray wavelengths we have conducted an astrometric study of three of the magnificent seven the thermally emitting radio quiet isolated neutron stars inss discovered by rosat these three inss rx j042005022 rx j080644123 and rx j130862127rbs 1223 either lack an optical counterpart or have one too faint to be used for astrometric purposes we obtained acis observations 3 to 5 years apart to constrain or measure the displacement of the sources on the xray sky using as reference the background of extragalactic or remote galactic xray sources upper limits of 138 masyr and 76 masyr on the proper motion of rx j042005022 and rx j080644123 respectively have already been presented in motch et al 2007 here we report the very significant measurement 10 sigma of the proper motion of the third ins of our program rx j130862127rbs1223 comparing observations obtained in 2002 and 2007 reveals a displacement of 11 arcsec implying a yearly proper motion of 223 mas the second fastest measured for the rosat discovered inss the source is rapidly moving away from the galactic plane at a speed which precludes any significant accretion of matter from the interstellar medium its transverse velocity of 740 d700pc kms might be the largest of the magnificent seven and among the fastest recorded for neutron stars rx j130862127rbs1223 is thus a young high velocity cooling neutron star the source may have its origin in the closest part of the scutum ob2 association about 08 myr ago an age consistent with that expected from cooling curves but significantly younger than inferred from pulse timing measurements 15 myr | [['the', 'unprecedented', 'spatial', 'resolution', 'of', 'the', 'chandra', 'observatory', 'opens', 'the', 'possibility', 'to', 'detect', 'with', 'relatively', 'high', 'accuracy', 'proper', 'motions', 'at', 'xray', 'wavelengths', 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712.0343 | Gravitational-wave data analysis using binary black-hole waveforms | Coalescing binary black-hole systems are among the most promising sources of
gravitational waves for ground-based interferometers. While the \emph{inspiral}
and \emph{ring-down} stages of the binary black-hole coalescence are
well-modelled by analytical approximation methods in general relativity, the
recent progress in numerical relativity has enabled us to compute accurate
waveforms from the \emph{merger} stage also. This has an important impact on
the search for gravitational waves from binary black holes. In particular,
while the current gravitational-wave searches look for each stage of the
coalescence separately, combining the results from analytical and numerical
relativity enables us to \emph{coherently} search for all three stages using a
single template family. `Complete' binary black-hole waveforms can now be
produced by matching post-Newtonian waveforms with those computed by numerical
relativity. These waveforms can be parametrised to produce analytical waveform
templates. The `complete' waveforms can also be used to estimate the efficiency
of different search methods aiming to detect signals from black-hole
coalescences. This paper summarises some recent efforts in this direction.
| gr-qc astro-ph | coalescing binary blackhole systems are among the most promising sources of gravitational waves for groundbased interferometers while the emphinspiral and emphringdown stages of the binary blackhole coalescence are wellmodelled by analytical approximation methods in general relativity the recent progress in numerical relativity has enabled us to compute accurate waveforms from the emphmerger stage also this has an important impact on the search for gravitational waves from binary black holes in particular while the current gravitationalwave searches look for each stage of the coalescence separately combining the results from analytical and numerical relativity enables us to emphcoherently search for all three stages using a single template family complete binary blackhole waveforms can now be produced by matching postnewtonian waveforms with those computed by numerical relativity these waveforms can be parametrised to produce analytical waveform templates the complete waveforms can also be used to estimate the efficiency of different search methods aiming to detect signals from blackhole coalescences this paper summarises some recent efforts in this direction | [['coalescing', 'binary', 'blackhole', 'systems', 'are', 'among', 'the', 'most', 'promising', 'sources', 'of', 'gravitational', 'waves', 'for', 'groundbased', 'interferometers', 'while', 'the', 'emphinspiral', 'and', 'emphringdown', 'stages', 'of', 'the', 'binary', 'blackhole', 'coalescence', 'are', 'wellmodelled', 'by', 'analytical', 'approximation', 'methods', 'in', 'general', 'relativity', 'the', 'recent', 'progress', 'in', 'numerical', 'relativity', 'has', 'enabled', 'us', 'to', 'compute', 'accurate', 'waveforms', 'from', 'the', 'emphmerger', 'stage', 'also', 'this', 'has', 'an', 'important', 'impact', 'on', 'the', 'search', 'for', 'gravitational', 'waves', 'from', 'binary', 'black', 'holes', 'in', 'particular', 'while', 'the', 'current', 'gravitationalwave', 'searches', 'look', 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712.0344 | Charm at CLEO-c | A minireview of the recent results from CLEO-c is presented. It includes new
results in charmonium spectroscopy, charmonium-like exotics, and open-charm
decays.
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712.0345 | The Chemical Evolution of LSB Galaxies | We have derived oxygen and nitrogen abundances of a sample of late-type, low
surface brightness (LSB) galaxies found in the Sloan Digital Sky Survey (SDSS).
Furthermore, we have computed a large grid (5000 models) of chemical evolution
models (CEMs) testing various time-scales for infall, baryon densities and
several power-law initial mass functions (IMFs) as well. Because of the rather
stable N/O-trends found both in CEMs (for a given IMF) and in observations, we
find that the hypotheses that LSB galaxies have stellar populations dominated
by low-mass stars, i.e., very bottom-heavy IMFs (see Lee et al. 2004), can be
ruled out. Such models predict much too high N/O-ratios and generally too low
O/H-ratios. We also conclude that LSB galaxies probably have the same ages as
their high surface brightness counterparts, although the global rate of star
formation must be considerably lower in these galaxies.
| astro-ph | we have derived oxygen and nitrogen abundances of a sample of latetype low surface brightness lsb galaxies found in the sloan digital sky survey sdss furthermore we have computed a large grid 5000 models of chemical evolution models cems testing various timescales for infall baryon densities and several powerlaw initial mass functions imfs as well because of the rather stable notrends found both in cems for a given imf and in observations we find that the hypotheses that lsb galaxies have stellar populations dominated by lowmass stars ie very bottomheavy imfs see lee et al 2004 can be ruled out such models predict much too high noratios and generally too low ohratios we also conclude that lsb galaxies probably have the same ages as their high surface brightness counterparts although the global rate of star formation must be considerably lower in these galaxies | [['we', 'have', 'derived', 'oxygen', 'and', 'nitrogen', 'abundances', 'of', 'a', 'sample', 'of', 'latetype', 'low', 'surface', 'brightness', 'lsb', 'galaxies', 'found', 'in', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'furthermore', 'we', 'have', 'computed', 'a', 'large', 'grid', '5000', 'models', 'of', 'chemical', 'evolution', 'models', 'cems', 'testing', 'various', 'timescales', 'for', 'infall', 'baryon', 'densities', 'and', 'several', 'powerlaw', 'initial', 'mass', 'functions', 'imfs', 'as', 'well', 'because', 'of', 'the', 'rather', 'stable', 'notrends', 'found', 'both', 'in', 'cems', 'for', 'a', 'given', 'imf', 'and', 'in', 'observations', 'we', 'find', 'that', 'the', 'hypotheses', 'that', 'lsb', 'galaxies', 'have', 'stellar', 'populations', 'dominated', 'by', 'lowmass', 'stars', 'ie', 'very', 'bottomheavy', 'imfs', 'see', 'lee', 'et', 'al', '2004', 'can', 'be', 'ruled', 'out', 'such', 'models', 'predict', 'much', 'too', 'high', 'noratios', 'and', 'generally', 'too', 'low', 'ohratios', 'we', 'also', 'conclude', 'that', 'lsb', 'galaxies', 'probably', 'have', 'the', 'same', 'ages', 'as', 'their', 'high', 'surface', 'brightness', 'counterparts', 'although', 'the', 'global', 'rate', 'of', 'star', 'formation', 'must', 'be', 'considerably', 'lower', 'in', 'these', 'galaxies']] | [-0.01350936451261597, 0.1374265806549894, -0.1108056134743882, 0.17763976426628816, -0.0559258924614239, -0.06799769930075854, 0.06499742037350578, 0.4358393100489463, -0.11046580986252853, -0.3926368518599442, 0.0538239394946556, -0.23988802886035826, -0.04170354822750336, 0.21444906758884566, -0.07951815283408255, -0.01621908495102876, 0.04788805669938613, -0.14187310707223202, -0.0654662212115779, -0.35788432204696746, 0.2856454715731421, 0.06205279246205464, 0.19684147245716305, -0.06807878517013576, 0.024199776435437213, -0.16445841693119811, -0.09257526031163121, -0.004769598740884768, -0.16756675910515437, -0.02696821258869022, 0.27802478573635847, 0.13941196612182205, 0.206476832700095, -0.38312835252285626, -0.23552991528330106, 0.107492498785723, 0.21806576879628534, 0.09252300518232265, -0.17262204141422574, -0.21953246143779584, 0.10679040334985725, -0.20100267911995096, -0.1430592323453831, 0.012335666265737797, 0.07226670100852581, 0.06799040806280184, -0.20947252750712714, 0.1823185699465934, 0.031675708268137114, 0.14401646104109075, -0.11532456134445965, -0.15485014582269027, -0.16860890393062228, 0.04829609317571989, -0.002239001276237624, 0.05470357949379832, 0.1873108770565263, -0.1614147739085768, 0.034740395351712194, 0.3953573065344244, -0.06487305711156556, -0.018346197311101216, 0.25880370791336255, -0.20684457733628472, -0.19174878057425043, 0.08579213525018921, 0.16389286177249493, 0.1282646898612646, -0.16769033163519842, 0.026130366477965645, -0.01708831038891471, 0.20089126177564529, 0.08873477349989116, 0.054496398615966814, 0.33393388438437666, 0.05378952956525609, 0.029845425968025144, 0.02314583797373676, -0.20292381871965648, -0.023957497718427995, -0.151292546752042, -0.0670289962752057, -0.14180691073249493, 0.06471186465849833, -0.1255116369171966, -0.12885063695388713, 0.3385013230011931, 0.08060312791993575, 0.2559017897600175, 0.10913816100052957, 0.2831458774927471, 0.10132617963577754, 0.14618304029073834, 0.11309595461269574, 0.28849590809217524, 0.15414645838983623, 0.08089788646237658, -0.20225914161918418, 0.1023644154982841, -0.03183403721278799] |
712.0346 | Multipartite entanglement measure for all discrete systems | Via a multidimensional complementarity relation we derive a novel operational
entanglement measure for any discrete quantum system, i.e. for any
multidimensional and multipartite system. This new measure admits a separation
into different classes of entanglement obtained by using a flip operator
2,3,...,n times, defining a m-flip concurrence. For mixed states bounds on this
m-flip concurrence can be obtained. Moreover, the information content of a n
partite multidimensional system admits an intuitive interpretation. Explicitly,
the three qubits system is analyzed and the physical difference in entanglement
of the W-state, the GHZ state or the bi-separable state is revealed.
| quant-ph | via a multidimensional complementarity relation we derive a novel operational entanglement measure for any discrete quantum system ie for any multidimensional and multipartite system this new measure admits a separation into different classes of entanglement obtained by using a flip operator 23n times defining a mflip concurrence for mixed states bounds on this mflip concurrence can be obtained moreover the information content of a n partite multidimensional system admits an intuitive interpretation explicitly the three qubits system is analyzed and the physical difference in entanglement of the wstate the ghz state or the biseparable state is revealed | [['via', 'a', 'multidimensional', 'complementarity', 'relation', 'we', 'derive', 'a', 'novel', 'operational', 'entanglement', 'measure', 'for', 'any', 'discrete', 'quantum', 'system', 'ie', 'for', 'any', 'multidimensional', 'and', 'multipartite', 'system', 'this', 'new', 'measure', 'admits', 'a', 'separation', 'into', 'different', 'classes', 'of', 'entanglement', 'obtained', 'by', 'using', 'a', 'flip', 'operator', '23n', 'times', 'defining', 'a', 'mflip', 'concurrence', 'for', 'mixed', 'states', 'bounds', 'on', 'this', 'mflip', 'concurrence', 'can', 'be', 'obtained', 'moreover', 'the', 'information', 'content', 'of', 'a', 'n', 'partite', 'multidimensional', 'system', 'admits', 'an', 'intuitive', 'interpretation', 'explicitly', 'the', 'three', 'qubits', 'system', 'is', 'analyzed', 'and', 'the', 'physical', 'difference', 'in', 'entanglement', 'of', 'the', 'wstate', 'the', 'ghz', 'state', 'or', 'the', 'biseparable', 'state', 'is', 'revealed']] | [-0.1808405201882124, 0.16448852996920899, -0.11351022545836474, 0.09148612381204178, 0.01778677549017103, -0.2234920977761871, 0.06199691535561885, 0.30673881835843386, -0.2499528700559351, -0.2550721514921047, 0.0851516338788267, -0.2640512281146489, -0.07152461239479874, 0.17340590387925897, -0.028248440772049913, 0.07483640711809704, 0.08583484459423313, 0.06687956268065855, -0.11513533491249148, -0.18828928331893527, 0.36347164950872723, -0.02845983448511872, 0.277820937355098, 0.04878197758899708, 0.1666636917347971, 0.010087401916174904, 0.017767240156076457, 0.034465335873200706, -0.124468577501217, 0.11097674995329918, 0.2409850983512833, 0.2053097783489839, 0.21484308653560125, -0.3670025061619909, -0.20452446529739782, 0.13627103216161854, 0.09718916243138281, 0.12711788206116148, 0.00020676075701454752, -0.3551260337576662, -0.012223545569730432, -0.19035478506335302, -0.08647119453863093, -0.09424218798644449, 0.04935818359647927, -0.07961666893802191, -0.2909439639727536, 0.08247318072244525, 0.06619450540624951, 0.05526521493141588, -0.026257482494570706, -0.057302019367680736, -0.02856901171372125, 0.12982850772034574, -0.12736643710492276, -0.004191516948814847, 0.06790735874030936, -0.06758448499696035, -0.18090361858730353, 0.3201650094485989, -0.03686824700991182, -0.2473266227464927, 0.16881305650856934, -0.09135569264916213, -0.11933371277624055, 0.06040030674224622, 0.11237749337757888, 0.10294721557660715, -0.16837432647712136, 0.04814472906168942, -0.08313042944003092, 0.22001143506679097, 0.06853280852695828, 0.15054672697657032, 0.18174543378776625, 0.09754190754733588, 0.11422601055942083, 0.25793511442913625, -0.024350319801535653, -0.12742506765613432, -0.30829022475763374, -0.2501925734901114, -0.246891375582077, 0.10632057002941636, -0.14011001363120923, -0.0975662238589537, 0.4126011474842304, 0.04638423602170262, 0.16316608117501202, 0.05057860285926022, 0.2662728615105152, 0.17077898707632955, 0.016607542858017903, 0.07625877521932126, 0.1880771761073878, 0.14046867429278792, 0.05948822803084591, -0.2481216753882013, 0.07595782210854324, 0.07168947059759184] |
712.0347 | Superluminal propagation of evanescent modes as a quantum effect | Contrary to mechanical waves, the two-slit interference experiment of single
photons shows that the behavior of classical electromagnetic waves corresponds
to the quantum mechanical one of single photons, which is also different from
the quantum-field-theory behavior such as the creations and annihilations of
photons, the vacuum fluctuations, etc. Owing to a purely quantum effect,
quantum tunneling particles including tunneling photons (evanescent modes) can
propagate over a spacelike interval without destroying causality. With this
picture we conclude that the superluminality of evanescent modes is a quantum
mechanical rather than a classical phenomenon.
| quant-ph | contrary to mechanical waves the twoslit interference experiment of single photons shows that the behavior of classical electromagnetic waves corresponds to the quantum mechanical one of single photons which is also different from the quantumfieldtheory behavior such as the creations and annihilations of photons the vacuum fluctuations etc owing to a purely quantum effect quantum tunneling particles including tunneling photons evanescent modes can propagate over a spacelike interval without destroying causality with this picture we conclude that the superluminality of evanescent modes is a quantum mechanical rather than a classical phenomenon | [['contrary', 'to', 'mechanical', 'waves', 'the', 'twoslit', 'interference', 'experiment', 'of', 'single', 'photons', 'shows', 'that', 'the', 'behavior', 'of', 'classical', 'electromagnetic', 'waves', 'corresponds', 'to', 'the', 'quantum', 'mechanical', 'one', 'of', 'single', 'photons', 'which', 'is', 'also', 'different', 'from', 'the', 'quantumfieldtheory', 'behavior', 'such', 'as', 'the', 'creations', 'and', 'annihilations', 'of', 'photons', 'the', 'vacuum', 'fluctuations', 'etc', 'owing', 'to', 'a', 'purely', 'quantum', 'effect', 'quantum', 'tunneling', 'particles', 'including', 'tunneling', 'photons', 'evanescent', 'modes', 'can', 'propagate', 'over', 'a', 'spacelike', 'interval', 'without', 'destroying', 'causality', 'with', 'this', 'picture', 'we', 'conclude', 'that', 'the', 'superluminality', 'of', 'evanescent', 'modes', 'is', 'a', 'quantum', 'mechanical', 'rather', 'than', 'a', 'classical', 'phenomenon']] | [-0.17699457383663444, 0.28342566480553083, -0.1495953572448343, 0.08573679979199769, -0.09062893557679522, -0.14116329720223342, 0.03980560588476422, 0.29489334787633575, -0.2439350118492167, -0.2644286736190974, -0.057350701972289565, -0.3501072406543644, -0.10942723268417867, 0.20407761672478436, 0.007812206689677723, 0.047404164504669194, 0.06021473340301232, 0.03631942797001902, -0.013090996490023866, -0.12150133013658758, 0.29239358760641665, 0.0678099884979739, 0.32015423898349754, 0.04007756951966088, 0.10348538936187442, 0.05608716583043173, 0.06533595693174872, -0.013798024075535627, -0.06518558744973743, 0.029479166835669306, 0.19287533549704478, 0.04270759343353847, 0.24077666152759894, -0.4819364684050555, -0.2757433622481895, 0.1193696632188141, 0.1855018380722338, 0.20695848845247344, -0.021437358254423507, -0.32727560889139606, -0.01360570296010637, -0.10682192454012213, -0.10800578438543848, 0.013064711252329768, -0.04726180637889838, -0.07097591280138918, -0.1960557709233119, 0.11248851568754097, 0.06452219171582588, 0.02260826888919877, 0.019254118500911927, 0.028979376546915743, -0.009812688352642478, 0.04976723702358348, 0.04551030655012845, -0.01493415971808545, 0.2134816986457496, -0.15584798694260746, -0.19618404905342465, 0.4110365267024263, -0.0498792183578109, -0.18900600163017242, 0.18766198137386159, -0.18960390632951651, 0.010536569206473919, 0.17711862857238606, 0.10319685940579562, 0.08486197198546686, -0.11264960891515999, 0.03424329956376843, 0.0025662619589858658, 0.14428326895890328, 0.13613395930196232, 0.17143093182380403, 0.28075398056471085, 0.09949045474794539, -0.01635542538549219, 0.16835770015041907, -0.06549268626290691, -0.10416566987859678, -0.34457465492516426, -0.17911450938925474, -0.18331005042489198, 0.13757332026508157, -0.055042787502036214, -0.1860494139594036, 0.3653705405905474, 0.13101796567271168, 0.14864437730348373, -0.012617733082631706, 0.3346997668127437, 0.12133831362838723, 0.06689689713172041, 0.023382972744881984, 0.36362256551836875, 0.15238302087431754, 0.10445552674291021, -0.27238334363050104, -0.008456262580763835, -0.03511641382311399] |
712.0348 | Entanglement renormalization and topological order | The multi-scale entanglement renormalisation ansatz (MERA) is argued to
provide a natural description for topological states of matter. The case of
Kitaev's toric code is analyzed in detail and shown to possess a remarkably
simple MERA description leading to distillation of the topological degrees of
freedom at the top of the tensor network. Kitaev states on an infinite lattice
are also shown to be a fixed point of the RG flow associated with entanglement
renormalization. All these results generalize to arbitrary quantum double
models.
| cond-mat.str-el quant-ph | the multiscale entanglement renormalisation ansatz mera is argued to provide a natural description for topological states of matter the case of kitaevs toric code is analyzed in detail and shown to possess a remarkably simple mera description leading to distillation of the topological degrees of freedom at the top of the tensor network kitaev states on an infinite lattice are also shown to be a fixed point of the rg flow associated with entanglement renormalization all these results generalize to arbitrary quantum double models | [['the', 'multiscale', 'entanglement', 'renormalisation', 'ansatz', 'mera', 'is', 'argued', 'to', 'provide', 'a', 'natural', 'description', 'for', 'topological', 'states', 'of', 'matter', 'the', 'case', 'of', 'kitaevs', 'toric', 'code', 'is', 'analyzed', 'in', 'detail', 'and', 'shown', 'to', 'possess', 'a', 'remarkably', 'simple', 'mera', 'description', 'leading', 'to', 'distillation', 'of', 'the', 'topological', 'degrees', 'of', 'freedom', 'at', 'the', 'top', 'of', 'the', 'tensor', 'network', 'kitaev', 'states', 'on', 'an', 'infinite', 'lattice', 'are', 'also', 'shown', 'to', 'be', 'a', 'fixed', 'point', 'of', 'the', 'rg', 'flow', 'associated', 'with', 'entanglement', 'renormalization', 'all', 'these', 'results', 'generalize', 'to', 'arbitrary', 'quantum', 'double', 'models']] | [-0.1539826646109023, 0.19163292156510925, -0.13859228426701434, 0.06809076017400782, -0.017458848463970104, -0.19514567082903037, -0.0058622754489382105, 0.3113652453092592, -0.24989551476513347, -0.22834175873902582, 0.04452762025314206, -0.2610069441753218, -0.14045159798115492, 0.13465288625143113, -0.005426005759675588, 0.10304509439239544, 0.03822384871143315, 0.06532172354006131, -0.11673652928411252, -0.27492169807997663, 0.3258894941037787, 0.0647496782628531, 0.32220913130523904, 0.11102144237485759, 0.08671184411893289, -0.02778811038782199, 0.003587381947519524, 0.019512512170920326, -0.14915342937179266, 0.10372797188410048, 0.2752823924742881, 0.02564106274318571, 0.13410632779067827, -0.4009084370585957, -0.263304973874862, 0.05224938045388886, 0.12082789319988695, 0.21750471838528201, 0.026812886241324514, -0.303007885921813, 0.08412655526106912, -0.24909781121338406, -0.18312497252953194, -0.1801024401959564, -0.01090836379721406, -0.09816826402121001, -0.22624770112313508, 0.018078125422540496, 0.03429754024061064, 0.052568775723643955, 0.03180776433908336, -0.06039130319065104, -0.09264174775619592, 0.09305838800390206, 0.009984035155780259, 0.02526127687832784, 0.08545921716306891, -0.16338689114144517, -0.16486655839807576, 0.37608902165222735, -0.03378085364654128, -0.23414005396798962, 0.2025832648477739, -0.07176933809006143, -0.1496592702100142, 0.10723283067567363, 0.10760109652654223, 0.09387765954445404, -0.1105473175356608, 0.11448161642640896, -0.08487097118493347, 0.1202206639922917, 0.022502680048568265, 0.09283479960590955, 0.200588040918644, 0.09171829226293735, 0.07594349583433498, 0.21418607440621903, -0.015591599843381638, -0.19661644762492783, -0.33874056542602676, -0.1661802990739012, -0.2165780604631263, 0.11144077075767286, -0.12417093256382421, -0.20422872825777935, 0.4568242368598779, 0.11671779126655088, 0.19103362950166533, 0.030291304812722263, 0.1865941722644493, 0.07483423913973161, 0.0919451412933302, 0.10879690824298277, 0.1884651208030326, 0.1949892033479132, 0.005851700037185635, -0.25035553420561235, -0.021207310458911315, 0.1531361750038784] |
712.0349 | The Decomposition Theorem and the topology of algebraic maps | We give a motivated introduction to the theory of perverse sheaves,
culminating in the Decomposition Theorem of Beilinson, Bernstein, Deligne and
Gabber. A goal of this survey is to show how the theory develops naturally from
classical constructions used in the study of topological properties of
algebraic varieties. While most proofs are omitted, we discuss several
approaches to the Decomposition Theorem, indicate some important applications
and examples.
| math.AG math.AT | we give a motivated introduction to the theory of perverse sheaves culminating in the decomposition theorem of beilinson bernstein deligne and gabber a goal of this survey is to show how the theory develops naturally from classical constructions used in the study of topological properties of algebraic varieties while most proofs are omitted we discuss several approaches to the decomposition theorem indicate some important applications and examples | [['we', 'give', 'a', 'motivated', 'introduction', 'to', 'the', 'theory', 'of', 'perverse', 'sheaves', 'culminating', 'in', 'the', 'decomposition', 'theorem', 'of', 'beilinson', 'bernstein', 'deligne', 'and', 'gabber', 'a', 'goal', 'of', 'this', 'survey', 'is', 'to', 'show', 'how', 'the', 'theory', 'develops', 'naturally', 'from', 'classical', 'constructions', 'used', 'in', 'the', 'study', 'of', 'topological', 'properties', 'of', 'algebraic', 'varieties', 'while', 'most', 'proofs', 'are', 'omitted', 'we', 'discuss', 'several', 'approaches', 'to', 'the', 'decomposition', 'theorem', 'indicate', 'some', 'important', 'applications', 'and', 'examples']] | [-0.13112735840467624, 0.014339651717846073, -0.18531554324357813, 0.13175501108669968, -0.11051615430459158, -0.09946835047301295, 0.009537097706056354, 0.27073325280972355, -0.33251605952443525, -0.22729475008073582, 0.1171008924686058, -0.21251460955714557, -0.23600913214483368, 0.23915091551729104, -0.2176390289148288, -0.025739078679288836, 0.02327776736399131, -0.002720551898897584, -0.05784891530482182, -0.28005583795593747, 0.37307683118521723, -0.019481000615589654, 0.2716694599879322, 0.12413756568123822, 0.037071048671296285, 0.023682825371567438, -0.09819939622738913, -0.05512864363324175, -0.17471572353657502, 0.21531819108762404, 0.3667573382827773, 0.1339668453420832, 0.26883353862855863, -0.43773151581078323, -0.14995118446731523, 0.10614341901226053, 0.10549562124000278, 0.13604727006211542, -0.016528934156939165, -0.26353954290276144, 0.10666083693226326, -0.17407013251404488, -0.18574854991496054, -0.1159498942894305, -0.017297550340864196, 0.034018270694824465, -0.17125552898940088, -0.00384603881402247, 0.1477497364324865, 0.12333366620952069, -0.09033962891223396, -0.1521713020429432, 0.010182020716619358, 0.02453905859016883, 0.061695305974598026, 0.010681316781260851, 0.09321331403065305, -0.13444339358525823, -0.17371823694278946, 0.3528316486209853, -0.023720527290185884, -0.1392120110121236, 0.16462544283704528, -0.09904215233261461, -0.1986978746109656, 0.058815129387970844, 0.07920141347141853, 0.1587514092645316, -0.00785036678356466, 0.14484548198802868, -0.08079789774909393, 0.04897573435984885, 0.0982078531298286, 0.06680503532068054, 0.11894522526704554, 0.09563437847198168, 0.036727030638174445, 0.17474801909289697, 0.035919226205615856, -0.09953554304066434, -0.3544789023641775, -0.15539069470268355, -0.1109297987657474, 0.12752403890185837, -0.05410945586427532, -0.16578641111976397, 0.42888058349490166, 0.17843720250425915, 0.19562284351298725, 0.07728099371932114, 0.2632609705315597, 0.04902314174392108, 0.020929645520197087, -0.016281542013774613, 0.18287227002064585, 0.302107368095486, 0.05092848909309885, -0.08170647313123319, -0.019940637924305317, 0.22380200603893444] |
712.035 | Quantization of kappa-deformed free fields and kappa-deformed
oscillators | We describe the deformed E.T. quantization rules for kappa-deformed free
quantum fields, and relate these rules with the kappa-deformed algebra of field
oscillators.
| hep-th | we describe the deformed et quantization rules for kappadeformed free quantum fields and relate these rules with the kappadeformed algebra of field oscillators | [['we', 'describe', 'the', 'deformed', 'et', 'quantization', 'rules', 'for', 'kappadeformed', 'free', 'quantum', 'fields', 'and', 'relate', 'these', 'rules', 'with', 'the', 'kappadeformed', 'algebra', 'of', 'field', 'oscillators']] | [-0.13557235864193543, 0.2862629681906622, -0.09060996691898807, 0.06792825638600018, -0.1309028289726247, -0.13611539052394422, 0.03158970180210536, 0.37052113263179426, -0.2515775261689787, -0.22808186376831777, -0.008815082093781752, -0.1801609196902617, -0.23867122262068416, 0.1779285626809882, -0.13464917525973008, -0.006741695814644513, 0.03221325940735962, 0.09671745335926181, -0.11984300738929407, -0.23269849902261858, 0.4105164797409721, 0.06768027208644249, 0.3176028893693634, -0.12304712337968142, 0.1618213802576065, 0.09896032921160045, -0.03757893294095993, 0.012244913241137629, -0.21343983353480048, 0.07234904809814433, 0.19838185705568478, 0.056845952635226044, 0.11077542667803557, -0.4441728365162145, -0.13387040903224892, 0.047736354941583195, 0.10402132295396017, 0.18947225744309631, 0.008216457036526306, -0.30717067076298205, -0.039145391434431076, -0.23078348050298897, -0.171884223818779, -0.19454744348869377, 0.024483792245914432, 0.018003958398881165, -0.212639091293449, 0.04417184768649547, 0.052907372161786516, 0.09441827529150507, -0.14537955670738997, -0.10255548131206761, -0.008742660385273073, 0.08352440093522487, -0.11377581492390322, -0.03697897595069979, 0.17303755193057915, -0.1421562592782404, -0.23242824751397836, 0.3507476965694324, 0.025167264955361254, -0.249221449960833, 0.04122134686812111, -0.1631730514699998, -0.17396586959290763, -0.026326004901657932, 0.057548986261953476, 0.093626967570542, -0.13665977124448703, 0.24938902501573623, 0.014264757461521936, 0.027211138492693073, 0.11989710835294555, 0.03926522414321485, 0.19753327147792216, -0.023931500299469284, -0.07181909162065257, 0.16704699160207226, 0.03603038021727749, -0.2698803943298433, -0.394745084254638, -0.17089873337713274, -0.09417394300639305, 0.13435001278539066, -0.1158357273335518, -0.18030714324635008, 0.3850287153669026, 0.16472481903822525, 0.12484985984021636, 0.03157900642279698, 0.14774302729283986, 0.2383711255034027, 0.13794907749347066, 0.023259963394831055, 0.26243869280037674, 0.3361689978603112, 0.09503351496127636, -0.2383953481912613, -0.2661544154803066, 0.14692163637474828] |
712.0351 | Improved Time Domain Method to Measure Near-Field Distribution of
Buried-Object | The paper analyses the ground antenna echo using microwave frequency detector
and high speed sampling technology and a new method detecting buried object in
time domain near-field is presented. The method detecting particular reflection
echo frequency of microwave pulse via digital signal processing is to reduce
the false alarm rate. Simulation results show that this method has advantages
of easy identification and high precision.
| physics.class-ph | the paper analyses the ground antenna echo using microwave frequency detector and high speed sampling technology and a new method detecting buried object in time domain nearfield is presented the method detecting particular reflection echo frequency of microwave pulse via digital signal processing is to reduce the false alarm rate simulation results show that this method has advantages of easy identification and high precision | [['the', 'paper', 'analyses', 'the', 'ground', 'antenna', 'echo', 'using', 'microwave', 'frequency', 'detector', 'and', 'high', 'speed', 'sampling', 'technology', 'and', 'a', 'new', 'method', 'detecting', 'buried', 'object', 'in', 'time', 'domain', 'nearfield', 'is', 'presented', 'the', 'method', 'detecting', 'particular', 'reflection', 'echo', 'frequency', 'of', 'microwave', 'pulse', 'via', 'digital', 'signal', 'processing', 'is', 'to', 'reduce', 'the', 'false', 'alarm', 'rate', 'simulation', 'results', 'show', 'that', 'this', 'method', 'has', 'advantages', 'of', 'easy', 'identification', 'and', 'high', 'precision']] | [-0.14258264382078778, 0.06345063799381023, -0.03952450329961721, -0.01069599543188815, -0.08419377001337125, -0.16943363553582458, 0.0717876539874851, 0.44030145124997944, -0.23541792249307036, -0.32259298325516284, 0.13892279792889894, -0.24264674325604574, -0.14299648025917122, 0.2864886829229363, -0.06704802176682279, 0.10231286181078758, 0.10808118826389546, -0.01278351352084428, -0.009906342045724159, -0.1834611551821581, 0.17919665743829682, 0.1507067784841638, 0.4127021991298534, 0.021489643819222692, 0.15931536424614023, 0.016667859556037, -0.07236212475982029, -0.06937282637227327, -0.04022941017012727, 0.08816257712896913, 0.30720576880776207, 0.2211860870520468, 0.23321061143360566, -0.3607201886479743, -0.21962379018805223, 0.12105794393573888, 0.15642724792178342, 0.14747460710350424, -0.1565837817342981, -0.3444388823409099, 0.10643937336135423, -0.16131519644113723, -0.09804479929880472, -0.06779279473994393, -0.04071325988479657, 0.03306804034218658, -0.23348789596639108, 0.08110940991173266, 0.015272910088242497, 0.051851445434294874, -0.01228503804304637, -0.0516460039652884, 0.09351287843310274, 0.09583089709485648, 0.007619032629008871, 0.049030523186957, 0.165378677265835, -0.10526135626423638, -0.13108520722016692, 0.280675342772156, -0.07973457346088253, -0.14368681032647146, 0.18655814496742096, -0.18986924160344643, -0.040680029858776834, 0.2196811675967183, 0.21848853527990286, 0.1045268881280208, -0.15597292591337464, 0.04313191886922141, 0.10380953806452453, 0.2442790623754263, 0.13787237102951622, 0.07766631733829854, 0.18390509541495703, 0.2300704414046777, 0.058100397072848864, 0.15143154095494538, -0.24437986710472615, 0.033003961405484006, -0.23375749279512092, -0.16588184045394883, -0.2510591614700388, -0.021715011214837432, -0.07806778909366585, -0.11224116431549191, 0.3977021476312075, 0.2258314476493979, 0.08494663666351698, 0.025677208446722943, 0.47445844765752554, 0.12123856818652712, 0.03879677443183027, -0.005526615534108714, 0.23875994121772237, 0.11638116533140419, 0.13955052131495904, -0.26070140388037544, 0.026390330767753767, -0.014566520832886454] |
712.0352 | Are Seyfert 2 Galaxies without Polarized Broad Emission Lines More
Obscured? | The new $XMM-Newton$ data of seven Seyfert 2 galaxies with optical
spectropolarimetric observations are presented. The analysis of 0.5 -- 10 keV
spectra shows that all four Seyfert 2 galaxies with polarized broad lines
(PBLs) are absorbed with $N_{\rm H}<10^{24}$ cm$^{-2}$, while two of three
Seyfert 2 galaxies without PBLs have evidence suggesting Compton-thick
obscuration, supporting the conclusion that Seyfert 2 galaxies without PBLs are
more obscured than those with PBLs. Adding the measured obscuration indicators
($N_{\rm H}$, $T$ ratio, and Fe K$\alpha$ line EW) of six luminous AGNs to our
previous sample improves the significance level of the difference in absorption
from 92.3% to 96.3% for $N_{\rm H}$, 99.1% to 99.4% for $T$ ratio, and 95.3% to
97.4% for Fe K$\alpha$ line EW. The present results support and enhance the
suggestions that the absence of PBLs in Seyfert 2 galaxies can be explained by
larger viewing angle of line of sight to the putative dusty torus, which lead
to the obscuration of broad-line scattering screen, as expected by the
unification model.
| astro-ph | the new xmmnewton data of seven seyfert 2 galaxies with optical spectropolarimetric observations are presented the analysis of 05 10 kev spectra shows that all four seyfert 2 galaxies with polarized broad lines pbls are absorbed with n_rm h1024 cm2 while two of three seyfert 2 galaxies without pbls have evidence suggesting comptonthick obscuration supporting the conclusion that seyfert 2 galaxies without pbls are more obscured than those with pbls adding the measured obscuration indicators n_rm h t ratio and fe kalpha line ew of six luminous agns to our previous sample improves the significance level of the difference in absorption from 923 to 963 for n_rm h 991 to 994 for t ratio and 953 to 974 for fe kalpha line ew the present results support and enhance the suggestions that the absence of pbls in seyfert 2 galaxies can be explained by larger viewing angle of line of sight to the putative dusty torus which lead to the obscuration of broadline scattering screen as expected by the unification model | [['the', 'new', 'xmmnewton', 'data', 'of', 'seven', 'seyfert', '2', 'galaxies', 'with', 'optical', 'spectropolarimetric', 'observations', 'are', 'presented', 'the', 'analysis', 'of', '05', '10', 'kev', 'spectra', 'shows', 'that', 'all', 'four', 'seyfert', '2', 'galaxies', 'with', 'polarized', 'broad', 'lines', 'pbls', 'are', 'absorbed', 'with', 'n_rm', 'h1024', 'cm2', 'while', 'two', 'of', 'three', 'seyfert', '2', 'galaxies', 'without', 'pbls', 'have', 'evidence', 'suggesting', 'comptonthick', 'obscuration', 'supporting', 'the', 'conclusion', 'that', 'seyfert', '2', 'galaxies', 'without', 'pbls', 'are', 'more', 'obscured', 'than', 'those', 'with', 'pbls', 'adding', 'the', 'measured', 'obscuration', 'indicators', 'n_rm', 'h', 't', 'ratio', 'and', 'fe', 'kalpha', 'line', 'ew', 'of', 'six', 'luminous', 'agns', 'to', 'our', 'previous', 'sample', 'improves', 'the', 'significance', 'level', 'of', 'the', 'difference', 'in', 'absorption', 'from', '923', 'to', '963', 'for', 'n_rm', 'h', '991', 'to', '994', 'for', 't', 'ratio', 'and', '953', 'to', '974', 'for', 'fe', 'kalpha', 'line', 'ew', 'the', 'present', 'results', 'support', 'and', 'enhance', 'the', 'suggestions', 'that', 'the', 'absence', 'of', 'pbls', 'in', 'seyfert', '2', 'galaxies', 'can', 'be', 'explained', 'by', 'larger', 'viewing', 'angle', 'of', 'line', 'of', 'sight', 'to', 'the', 'putative', 'dusty', 'torus', 'which', 'lead', 'to', 'the', 'obscuration', 'of', 'broadline', 'scattering', 'screen', 'as', 'expected', 'by', 'the', 'unification', 'model']] | [-0.023538228891694043, 0.057207101013730555, 0.048405076933148154, 0.08244625767692923, -0.05619356430902639, -0.19497662160326454, 0.052562107508728174, 0.5073032973772462, -0.02734411541810807, -0.39275660540032037, 0.030037225477452224, -0.3613994841272121, 0.062038090556640835, 0.16108108360150414, 0.00042479743304498055, -0.06882670539266923, -0.04598258615416639, -0.1804255432819071, -0.019890097951899995, -0.28450759946204285, 0.29842634826131603, 0.06729538244852687, 0.16282093467957834, -0.01664911112474168, 0.0004088529118555872, -0.0673030105583808, -0.09342861428089878, -0.0007182899287299198, -0.05776508716684047, 0.06839222062159987, 0.292109498199459, 0.12885445569785695, 0.20083721680874828, -0.2793571840188901, -0.19292351969805382, 0.05229545314248432, 0.21292989163878648, -0.03829523010165704, -0.003054718775007025, -0.2806773405029055, 0.07360588716452612, -0.18058256799601677, -0.1801304638878826, 0.08132550124462475, 0.040844993426478196, 0.01169694926665055, -0.22145968451548148, 0.14984144881258116, 0.045782868912005246, 0.15304216961650288, -0.10201223360319786, -0.13257044642232357, -0.07343153842204415, -0.001697425914051778, 0.06226067463524968, 0.059393902099177734, 0.20960248125552694, -0.14297126980279298, -0.07949835686013103, 0.41411054953932763, -0.05486839337399407, 0.05821933214936186, 0.17919068387983478, -0.23333420468192986, -0.1940985552911811, 0.2615401856217752, 0.09396993793437586, 0.1048130975512322, -0.033856775417156953, -0.029775830420925666, -0.07760882231831441, 0.32050508179099246, -0.015445878482697642, 0.06943954390008003, 0.2392781783497947, 0.023648969844832796, 0.000401370895012994, 0.04891911071266376, -0.248675013854004, 0.05595024351085372, -0.2696380158667179, -0.09923478135400836, -0.09128562973825918, 0.16270731839502012, -0.20368681624506066, -0.0466258662780199, 0.3205823261222309, 0.10073070634320816, 0.2992297203088289, 0.04787469230890137, 0.27577247451990844, 0.08552206043044434, 0.07456395869307658, 0.10340898130790961, 0.34333885495331795, 0.13560151750605334, 0.058400117429247236, -0.20957208720364554, 0.05580671461477109, 0.02506438027639353] |
712.0353 | Multi-patch methods in general relativistic astrophysics - I.
Hydrodynamical flows on fixed backgrounds | Many systems of interest in general relativistic astrophysics, including
neutron stars, accreting compact objects in X-ray binaries and active galactic
nuclei, core collapse, and collapsars, are assumed to be approximately
spherically symmetric or axisymmetric. In Newtonian or fixed-background
relativistic approximations it is common practice to use spherical polar
coordinates for computational grids; however, these coordinates have
singularities and are difficult to use in fully relativistic models. We
present, in this series of papers, a numerical technique which is able to use
effectively spherical grids by employing multiple patches. We provide detailed
instructions on how to implement such a scheme, and present a number of code
tests for the fixed background case, including an accretion torus around a
black hole.
| astro-ph astro-ph.HE gr-qc | many systems of interest in general relativistic astrophysics including neutron stars accreting compact objects in xray binaries and active galactic nuclei core collapse and collapsars are assumed to be approximately spherically symmetric or axisymmetric in newtonian or fixedbackground relativistic approximations it is common practice to use spherical polar coordinates for computational grids however these coordinates have singularities and are difficult to use in fully relativistic models we present in this series of papers a numerical technique which is able to use effectively spherical grids by employing multiple patches we provide detailed instructions on how to implement such a scheme and present a number of code tests for the fixed background case including an accretion torus around a black hole | [['many', 'systems', 'of', 'interest', 'in', 'general', 'relativistic', 'astrophysics', 'including', 'neutron', 'stars', 'accreting', 'compact', 'objects', 'in', 'xray', 'binaries', 'and', 'active', 'galactic', 'nuclei', 'core', 'collapse', 'and', 'collapsars', 'are', 'assumed', 'to', 'be', 'approximately', 'spherically', 'symmetric', 'or', 'axisymmetric', 'in', 'newtonian', 'or', 'fixedbackground', 'relativistic', 'approximations', 'it', 'is', 'common', 'practice', 'to', 'use', 'spherical', 'polar', 'coordinates', 'for', 'computational', 'grids', 'however', 'these', 'coordinates', 'have', 'singularities', 'and', 'are', 'difficult', 'to', 'use', 'in', 'fully', 'relativistic', 'models', 'we', 'present', 'in', 'this', 'series', 'of', 'papers', 'a', 'numerical', 'technique', 'which', 'is', 'able', 'to', 'use', 'effectively', 'spherical', 'grids', 'by', 'employing', 'multiple', 'patches', 'we', 'provide', 'detailed', 'instructions', 'on', 'how', 'to', 'implement', 'such', 'a', 'scheme', 'and', 'present', 'a', 'number', 'of', 'code', 'tests', 'for', 'the', 'fixed', 'background', 'case', 'including', 'an', 'accretion', 'torus', 'around', 'a', 'black', 'hole']] | [-0.07939903552598954, 0.06763399842876584, -0.07392635281362078, 0.13514331882103434, -0.10935124004564929, -0.130439159174708, 0.007330281162994499, 0.408303447146, -0.1772438081670083, -0.30885099322229875, 0.10149646420403532, -0.2509386371234197, -0.07433188070754419, 0.23369923610819363, -0.06130576889449339, 0.04315833697298996, 0.04571068231231619, -0.03817549689566255, -0.08449301463277901, -0.23802060253053373, 0.35146773940327913, 0.09190567058487599, 0.16764577526693084, -0.07672642654653232, 0.05930069163285133, -0.04327934099940442, -0.04349818211166235, 0.03328315121661715, -0.10539323341848814, 0.07757608391180196, 0.28300123956160717, 0.1373989428237018, 0.22840790118740387, -0.4768390189073667, -0.25372466709496094, 0.06514008444814137, 0.17572874218976797, 0.1453751822700724, -0.11134126075023018, -0.19658372013344422, 0.06340444581817929, -0.2539123562516786, -0.16998296290902154, -0.09929362511332734, 0.04617081112971827, 0.06216968294182213, -0.23179269181329662, 0.060565947233151424, 0.06563236855142632, 0.02110742439101098, -0.06214657783539606, -0.05032763457876638, 0.032723767408991564, 0.08676395734318164, 0.05197903591779476, 0.025956397230478646, 0.14760903454925708, -0.07935475935462956, -0.0790035448530141, 0.4503806879462189, 0.010136490016138698, -0.22901416443163106, 0.23364955682244873, -0.17964655013770617, -0.162038083636288, 0.14132488229773751, 0.23859205111829923, 0.21710664281198958, -0.13695937726145782, 0.0527408488169156, -0.01914111860370373, 0.1734990435642652, 0.07368667361506519, -0.016129770121016705, 0.3290944359570491, 0.11384650785573798, -0.011982001789293777, 0.11236430937717787, -0.12742642836621768, -0.09405388811431012, -0.26462757814051424, -0.0867721685560561, -0.13387900221498072, 0.06259558419110019, -0.07795584242851591, -0.19630009293196207, 0.29859838938885813, 0.08909349652210705, 0.1217062432874589, -0.006852166562100497, 0.320336119764868, 0.027782658952437027, 0.04357879373886693, 0.17091696606088086, 0.2542100060308556, 0.1499045233480914, 0.09028623944164074, -0.16767778116896623, -0.02139426602692414, 0.0753558388206337] |
712.0354 | f0(980) meson as a K bar K molecule in a phenomenological Lagrangian
approach | We discuss a possible interpretation of the f0(980) meson as a hadronic
molecule - a bound state of K and bar K mesons. Using a phenomenological
Lagrangian approach we calculate the strong f0(980) to pi pi and
electromagnetic f0(980) to gamma gamma decays. The compositeness condition
provides a self-consistent method to determine the coupling constant between f0
and its constituents, K and bar K. Form factors governing the decays of the
f0(980) are calculated by evaluating the kaon loop integrals. The predicted
f0(980) to pi pi and f0(980) to gamma gamma decay widths are in good agreement
with available data and results of other theoretical approaches.
| hep-ph | we discuss a possible interpretation of the f0980 meson as a hadronic molecule a bound state of k and bar k mesons using a phenomenological lagrangian approach we calculate the strong f0980 to pi pi and electromagnetic f0980 to gamma gamma decays the compositeness condition provides a selfconsistent method to determine the coupling constant between f0 and its constituents k and bar k form factors governing the decays of the f0980 are calculated by evaluating the kaon loop integrals the predicted f0980 to pi pi and f0980 to gamma gamma decay widths are in good agreement with available data and results of other theoretical approaches | [['we', 'discuss', 'a', 'possible', 'interpretation', 'of', 'the', 'f0980', 'meson', 'as', 'a', 'hadronic', 'molecule', 'a', 'bound', 'state', 'of', 'k', 'and', 'bar', 'k', 'mesons', 'using', 'a', 'phenomenological', 'lagrangian', 'approach', 'we', 'calculate', 'the', 'strong', 'f0980', 'to', 'pi', 'pi', 'and', 'electromagnetic', 'f0980', 'to', 'gamma', 'gamma', 'decays', 'the', 'compositeness', 'condition', 'provides', 'a', 'selfconsistent', 'method', 'to', 'determine', 'the', 'coupling', 'constant', 'between', 'f0', 'and', 'its', 'constituents', 'k', 'and', 'bar', 'k', 'form', 'factors', 'governing', 'the', 'decays', 'of', 'the', 'f0980', 'are', 'calculated', 'by', 'evaluating', 'the', 'kaon', 'loop', 'integrals', 'the', 'predicted', 'f0980', 'to', 'pi', 'pi', 'and', 'f0980', 'to', 'gamma', 'gamma', 'decay', 'widths', 'are', 'in', 'good', 'agreement', 'with', 'available', 'data', 'and', 'results', 'of', 'other', 'theoretical', 'approaches']] | [-0.1356606311652632, 0.22056732783981023, -0.12841539349229564, 0.11824266106511155, -0.1061429297374118, -0.16174888329669124, 0.13396457321276622, 0.33233833018512954, -0.21941278330272151, -0.21890686099373158, -0.10602857291676282, -0.344436222164049, -0.04216920532108773, 0.10634135417640209, 0.15253070473138775, 0.1227466595353603, 0.07133517552921105, 0.07913617257561002, -0.06920439830504446, -0.10463678174031278, 0.2548715610411905, -0.0180319656396196, 0.14639116583081582, 0.13613175306291808, -0.03964023432982642, -0.04019722306125221, -0.03099308537230605, -0.09925118368119001, -0.22838765489647075, 0.07342769402367551, 0.2358131282674592, 0.12719671738200955, 0.10600085986689442, -0.29857887371465386, -0.08043078074143047, 0.10553816173757825, 0.14756454852675752, 0.016693275894171425, 0.03679814181260077, -0.36980045260418026, 0.15881475321061556, -0.12715813531762077, -0.12410373623438534, -0.14117818930674167, 0.06327072460470455, -0.09725206765745367, -0.35770568035188177, 0.06621292028576135, -0.0622030182652885, 0.029796115096126286, -0.05281712908541695, -0.28345232788207275, 0.014944997476413846, 0.06537658314531049, 0.14423361354662725, 0.14409247849668774, 0.18567863054396141, -0.15836399311998062, -0.12947976602064, 0.4277504768765842, -0.13631310561073146, -0.1900920796607222, 0.11629654379295451, -0.15348720610407846, -0.09444731653534941, 0.1918207883080911, 0.1588332058817503, 0.04957853067843687, -0.1573933443586741, 0.14498688896253173, -0.022710874756532055, 0.15456577898446647, 0.07965509234262365, 0.05686802085692762, 0.12962343122289027, 0.13900586398584502, -0.10603524783094015, 0.05456673455302648, -0.06611582950821944, -0.043982285394754614, -0.4188547883714948, -0.15992692257333102, -0.07712130237487144, 0.08128047193444911, -0.05433155908484921, -0.09564806284782078, 0.32881593000188114, -0.01648759911102908, 0.2822455181607178, 0.029756072190191066, 0.31602309758198405, 0.11254017572029539, -0.01247620486122157, 0.08575423829412708, 0.26976257317832536, 0.30858364371538516, 0.05900149139620009, -0.33090261256410963, 0.012064801571181132, 9.848771705513908e-05] |
712.0355 | Bright and dark solitary waves in a one-dimensional spin-polarized gas
of fermionic atoms with p-wave interactions in a hard-wall trap | In this paper we elucidate the physics underlying the fact that both bright
and dark solitary waves can arise in a one-dimensional spin-polarized gas of
fermionic atoms with attractive three-dimensional p-wave interactions in a
hard-wall trap. This is possible since the one-dimensional fermion system can
be mapped to a system of bosons described by the Lieb-Liniger model with either
repulsive or attractive delta-function interactions which can support solitary
waves.
| cond-mat.other | in this paper we elucidate the physics underlying the fact that both bright and dark solitary waves can arise in a onedimensional spinpolarized gas of fermionic atoms with attractive threedimensional pwave interactions in a hardwall trap this is possible since the onedimensional fermion system can be mapped to a system of bosons described by the liebliniger model with either repulsive or attractive deltafunction interactions which can support solitary waves | [['in', 'this', 'paper', 'we', 'elucidate', 'the', 'physics', 'underlying', 'the', 'fact', 'that', 'both', 'bright', 'and', 'dark', 'solitary', 'waves', 'can', 'arise', 'in', 'a', 'onedimensional', 'spinpolarized', 'gas', 'of', 'fermionic', 'atoms', 'with', 'attractive', 'threedimensional', 'pwave', 'interactions', 'in', 'a', 'hardwall', 'trap', 'this', 'is', 'possible', 'since', 'the', 'onedimensional', 'fermion', 'system', 'can', 'be', 'mapped', 'to', 'a', 'system', 'of', 'bosons', 'described', 'by', 'the', 'liebliniger', 'model', 'with', 'either', 'repulsive', 'or', 'attractive', 'deltafunction', 'interactions', 'which', 'can', 'support', 'solitary', 'waves']] | [-0.17811716806592312, 0.23153760365844853, -0.06671307657919553, 0.1080806755065999, -0.05093946289001168, -0.24929954633251697, -0.015541286813432647, 0.3377007451718268, -0.2372440214174381, -0.21100009459516275, -0.012029577395878732, -0.2998304632694825, -0.1145699073769746, 0.08415496823769333, 0.09350799943279961, 0.031714159779358604, 0.05031154316890499, -0.03317242224390308, -0.03615715150616766, -0.23451460044885028, 0.32784082906563644, -0.007246369549977607, 0.18927805938258552, 0.10420434090538301, 0.037232571868630854, 0.028147055580410633, 0.1196829420176969, -0.014436579182865504, -0.09456836779492628, 0.07006625284818743, 0.23763158220959746, -0.065070072647886, 0.1881319741360789, -0.4988447713625172, -0.2744766252817235, 0.13245876273815183, 0.2676777476174892, 0.1841169318801764, -0.06270162161250693, -0.40347584004959336, -0.07816798094849008, -0.21498208446765615, -0.2291795983168202, -0.06976758401530485, -0.005209401020429273, 0.08764010721115746, -0.2412467036072327, 0.10973348899784943, 0.07128633324569766, -0.01599228603468425, -0.09168127372749554, -0.014793985708873126, -0.050178737534830965, -0.017661537708498647, 0.024371508328392563, 0.03642691569014763, 0.11093470995462891, -0.17819204380519796, -0.07946874917251989, 0.45708004698373267, -0.13543845161768622, -0.22256537858882677, 0.3032253887774288, -0.11593989970540439, -0.031828075336913265, 0.14892481637281785, 0.1680174828439519, 0.005353808595353495, -0.17745291200075028, 0.12426585760703597, -0.11467418242650836, 0.16784255667437759, 0.05550914008062387, 0.024439099089552958, 0.36626390481124754, 0.1865494207519552, -0.0033732293092686196, 0.1462809167434529, -0.06654707359595467, -0.09935542549752374, -0.2670744388107804, -0.15013140406918482, -0.24265747042237848, 0.01786515490570362, 0.018585253804053205, -0.17470402166625296, 0.3881986518592938, 0.1426623031972364, 0.15521861726175185, -0.057906187853128045, 0.26663620822954975, 0.143739711911674, 0.03369639274677721, 0.0332429468618247, 0.26962513766804896, 0.10428795715510521, 0.06006191641875151, -0.2398626962474183, -0.07618923963088056, 0.047159417701102255] |
712.0356 | Timelike Form Factors | Form factors of nucleons and mesons with timelike momentum transfers are
discussed. New experimental results for protons, pions, and kaons at large
momentum transfers are presented, and the inadequacy of existing theoretical
ideas about these is pointed out.
| hep-ex | form factors of nucleons and mesons with timelike momentum transfers are discussed new experimental results for protons pions and kaons at large momentum transfers are presented and the inadequacy of existing theoretical ideas about these is pointed out | [['form', 'factors', 'of', 'nucleons', 'and', 'mesons', 'with', 'timelike', 'momentum', 'transfers', 'are', 'discussed', 'new', 'experimental', 'results', 'for', 'protons', 'pions', 'and', 'kaons', 'at', 'large', 'momentum', 'transfers', 'are', 'presented', 'and', 'the', 'inadequacy', 'of', 'existing', 'theoretical', 'ideas', 'about', 'these', 'is', 'pointed', 'out']] | [-0.0790793955154521, 0.30286588869057596, -0.09578742847875937, 0.16060605132033265, -0.07795848742151927, -0.09135645664738197, 0.020136775448918343, 0.37105537910553577, -0.17754976382773174, -0.23531847476567092, -0.10341423333279397, -0.40545749632445605, 0.058441991991314446, 0.17915828673070983, 0.041550960759387204, 0.08319406074128653, 0.1371677045918707, -0.02890167831394233, -0.05576324384463461, -0.19188653324779711, 0.38853462001210765, 0.07860333809482031, 0.23114460613884913, 0.19564034186891818, 0.10009057133605606, 0.03999911539109522, -0.08872555184031003, -0.004203964098307647, -0.0950025899433776, 0.10923038714712388, 0.30520910387368577, 0.06553200411757357, 0.16987331348814463, -0.39658515669993666, -0.13637217979780153, 0.024287651709624027, 0.15491920439403897, 0.09763841879995246, -0.06647594528591358, -0.28737777432328776, 0.0749778616560721, -0.17378772150627092, -0.145587971777116, -0.2527256323955953, 0.0038222881695745806, 0.07454307977796386, -0.2379651910772449, 0.09876903093812105, 0.006429045265050311, 0.07719257826867856, -0.08999317906502831, -0.32485059952657475, 0.014977946705920132, 0.05852238338832792, 0.20794847322701426, 0.053856736661768274, 0.15093937427981904, -0.11205993084187962, -0.12771345981347718, 0.38058608750763695, 0.09090591124013851, -0.2215063078819137, 0.1368759969114571, -0.1729865064844489, -0.0817942893818805, 0.1671404921400704, 0.1721771590558714, 0.05674647125660589, -0.15109368038706875, 0.018022020391838037, -0.07700517464821276, 0.10845570540741871, 0.10341029587250791, 0.07228689396900959, 0.1922164046646733, 0.1540474170622857, -0.09113148259195059, 0.010534340350300465, -0.053806904752395655, -0.17375505058781096, -0.39474726703606156, -0.13700172506076724, -0.056989085725753716, 0.07063736587664798, -0.04890391346883629, 0.034792876557299963, 0.3145148421968578, 0.037838843761404096, 0.2448628162145676, -0.009637170005589724, 0.33240286525534957, 0.0322440885938704, 0.07699634732776567, 0.17870172991809485, 0.3284581222289585, 0.19048646859530555, 0.1737351426732187, -0.19273952248898385, -0.04997711057627672, 0.007372665825594021] |
712.0357 | Charged particle pseudorapidity distributions from SPS to LHC | Pseudorapidity distributions of charged particles produced in heavy ion
collisions are a powerful tool to characterize the global properties of the
created system. They have been measured in a wide range of energies at the GSI,
AGS, SPS and RHIC accelerators and will be one of the first measurements at
ALICE at the LHC. The various analysis techniques developed by SPS and RHIC
experiments are reviewed and the presently available results from SPS and RHIC
are presented, focusing in particular on the scaling of charged particle yield
with centrality and with center-of-mass energy. Finally the perspectives for
the multiplicity measurement in the ALICE experiment at the LHC are discussed.
| nucl-ex | pseudorapidity distributions of charged particles produced in heavy ion collisions are a powerful tool to characterize the global properties of the created system they have been measured in a wide range of energies at the gsi ags sps and rhic accelerators and will be one of the first measurements at alice at the lhc the various analysis techniques developed by sps and rhic experiments are reviewed and the presently available results from sps and rhic are presented focusing in particular on the scaling of charged particle yield with centrality and with centerofmass energy finally the perspectives for the multiplicity measurement in the alice experiment at the lhc are discussed | [['pseudorapidity', 'distributions', 'of', 'charged', 'particles', 'produced', 'in', 'heavy', 'ion', 'collisions', 'are', 'a', 'powerful', 'tool', 'to', 'characterize', 'the', 'global', 'properties', 'of', 'the', 'created', 'system', 'they', 'have', 'been', 'measured', 'in', 'a', 'wide', 'range', 'of', 'energies', 'at', 'the', 'gsi', 'ags', 'sps', 'and', 'rhic', 'accelerators', 'and', 'will', 'be', 'one', 'of', 'the', 'first', 'measurements', 'at', 'alice', 'at', 'the', 'lhc', 'the', 'various', 'analysis', 'techniques', 'developed', 'by', 'sps', 'and', 'rhic', 'experiments', 'are', 'reviewed', 'and', 'the', 'presently', 'available', 'results', 'from', 'sps', 'and', 'rhic', 'are', 'presented', 'focusing', 'in', 'particular', 'on', 'the', 'scaling', 'of', 'charged', 'particle', 'yield', 'with', 'centrality', 'and', 'with', 'centerofmass', 'energy', 'finally', 'the', 'perspectives', 'for', 'the', 'multiplicity', 'measurement', 'in', 'the', 'alice', 'experiment', 'at', 'the', 'lhc', 'are', 'discussed']] | [-0.0126323696661638, 0.2327424604488417, -0.16646886829269725, 0.1090515880768589, 0.04634457505350813, -0.16046770427529827, -0.11282296864948141, 0.36433983795823305, -0.20970010727114224, -0.3269354056122653, 0.017765606091349223, -0.3781349512902217, 0.10638089476307051, 0.22501197951704846, 0.08793483198398229, 0.142822242109105, 0.15603397249184345, 0.011657631219099832, -0.04069773927694101, -0.20897588392702537, 0.29478717234558127, 0.18804170917548718, 0.26688100470212894, 0.19444854562640737, 0.08011891556168915, 0.04692259770519006, -0.03782082466545318, 0.050176608589811066, -0.14749049086341584, 0.09751761583168136, 0.3166943582985977, 0.09544344527279497, 0.17380977179769666, -0.38907507871952624, -0.11499928249849366, 0.099648908506908, 0.07733074433187348, 0.09814341150976102, -0.1502947393396801, -0.2639727793770646, 0.14727183555278484, -0.22156601524356445, -0.14217531247440418, -0.018891786186690997, -0.028753937162253836, 0.10960756025251446, -0.26048793635168754, 0.0430679771079417, -0.07462884791124903, 0.10260043285547867, -0.03388415045455235, -0.21330850398907045, -0.038401217427352495, 0.04580447193739269, 0.0637177286430373, 0.025005134624651197, 0.16476735093314712, -0.13294516875378684, -0.18892492702521316, 0.3562092983394588, 0.04094129803092774, -0.1207388896290042, 0.25581671003628215, -0.2608659879150672, -0.15388801722539538, 0.103765778534046, 0.2821917788065765, 0.11193507370632996, -0.21801406174146254, 0.049855036222068334, -0.0073694851283633385, 0.11196482631794007, 0.09072473894915792, 0.07303320643398056, 0.19858026122588904, 0.21523118844157546, -0.007903368831740334, 0.0808515679327517, -0.1069023287983586, -0.07578246755559646, -0.3888619573308377, -0.07475240193221958, -0.12992047936946086, -0.05526021226311109, 0.0025735275545947837, 0.018356504790279844, 0.39610155726518104, 0.10249973944502609, 0.249574308351981, -0.028787695394760563, 0.27974291988263983, 0.07849990303410269, 0.06342007670286667, 0.07611113446636485, 0.3295971946673331, 0.09640948782213579, 0.2638342636722832, -0.2254563992503398, 0.03794454211164095, 0.028650529603602006] |
712.0358 | Cadence Optimisation and Exoplanetary Parameter Sensitivity | To achieve maximum planet yield for a given radial velocity survey, the
observing strategy must be carefully considered. In particular, the adopted
cadence can greatly affect the sensitivity to exoplanetary parameters such as
period and eccentricity. Here we describe simulations which aim to maximise
detections based upon the target parameter space of the survey.
| astro-ph | to achieve maximum planet yield for a given radial velocity survey the observing strategy must be carefully considered in particular the adopted cadence can greatly affect the sensitivity to exoplanetary parameters such as period and eccentricity here we describe simulations which aim to maximise detections based upon the target parameter space of the survey | [['to', 'achieve', 'maximum', 'planet', 'yield', 'for', 'a', 'given', 'radial', 'velocity', 'survey', 'the', 'observing', 'strategy', 'must', 'be', 'carefully', 'considered', 'in', 'particular', 'the', 'adopted', 'cadence', 'can', 'greatly', 'affect', 'the', 'sensitivity', 'to', 'exoplanetary', 'parameters', 'such', 'as', 'period', 'and', 'eccentricity', 'here', 'we', 'describe', 'simulations', 'which', 'aim', 'to', 'maximise', 'detections', 'based', 'upon', 'the', 'target', 'parameter', 'space', 'of', 'the', 'survey']] | [-0.06664308482625832, 0.11522178382923205, -0.08092537064415713, 0.026694477837601746, -0.16626020017321463, -0.06090438520294373, 0.09972387579856096, 0.3869697893538547, -0.22568091793261744, -0.373820915059359, 0.12005772227550754, -0.19779700366780162, -0.09078606437995201, 0.2112065845479568, -0.1007659760027848, 0.09336207949996202, 0.1265184182535719, -0.0156637539535209, -0.020796273990156437, -0.3170586590551668, 0.2542207749534605, 0.1323178553160418, 0.16811876218869454, -0.01756257063674706, 0.08790863139330651, -0.014833107012910423, -0.07886412747784224, 0.01426063223550079, -0.24611913066150415, 0.02689341486742099, 0.29106316363645923, 0.20278373851302872, 0.2305293405359542, -0.36843723962428393, -0.20490911666786782, 0.11867918305236984, 0.16777648209999488, 0.06935699267476728, 0.01972857691106145, -0.24869611436777092, 0.0730364447614799, -0.17627844902583295, -0.19325560545203863, -0.06214265527065705, 0.019415908631075313, 0.08571677719656792, -0.28897360489807195, 0.0003845690473638199, -0.0017920121964481142, 0.08994776277837378, -0.12331034379355886, -0.13237767694173036, -0.04808285535114852, 0.12133000725750914, 0.003862563658643652, 0.06982481306315297, 0.13102474189535887, -0.0923339091198243, -0.043624435654944844, 0.38261785851446567, -0.11297863045345163, -0.15999173497160277, 0.14864752526584737, -0.15919893317752415, -0.11829301544585852, 0.1065179482317978, 0.2576886313639719, 0.10956969395866273, -0.1433631096906201, -0.006971144314674247, 0.06292703909868444, 0.2274432641333314, 0.07015684871779133, 0.0762488203537133, 0.2918671839008177, 0.13657697152639567, 0.1261730274590836, 0.08787191086405612, -0.2344365492204411, -0.07106083478019745, -0.22883048960594116, -0.12572070066299704, -0.17870125982962135, 0.017356597956407954, -0.05152806553410806, -0.08247782583175986, 0.4176385585408382, 0.2250080747719578, 0.18287060945294797, 0.028699461303875542, 0.2808445915752263, 0.11015147669025248, 0.07525957352400939, 0.004364836426382816, 0.3503739808651584, 0.06080302919468118, 0.08684680697128729, -0.24603518932902566, 0.12152732268010301, -0.0004625216091948527] |
712.0359 | How does the scaling for the polymer chain in the dissipative particle
dynamics hold? | We performed a series of simulations for a linear polymer chain in a solvent
using dissipative particle dynamics to check the scaling relations for the
end-to-end distance, radius of gyration and hydrodynamic radius in three
dimensions. The polymer chains of up to 80 beads in explicit solvent of various
quality are studied. To extract the scaling exponent \nu, the data are analyzed
using linear fits, correction-to-scaling forms and analytical fits to the
histograms of radius of gyration distribution. For certain combinations of the
polymer characteristics and solvent quality, the correction-to-scaling terms
are found to be essential while for the others these are negligibly small. In
each particular case the final value for the exponent \nu was chosen according
to the best least-squares fit. The values of \nu obtained in this way are found
within the interval \nu=0.55-0.61 but are concentrated mostly around 0.59,
which is very close to the best known theoretical result \nu=0.588. The
existence of this interval is attributed both to the peculiarities of the
method and to the moderate chain lengths being simulated. Within this
shortcoming, the polymer chain in this kind of modeling is found to satisfy the
scaling relations for all three radii being considered
| cond-mat.soft | we performed a series of simulations for a linear polymer chain in a solvent using dissipative particle dynamics to check the scaling relations for the endtoend distance radius of gyration and hydrodynamic radius in three dimensions the polymer chains of up to 80 beads in explicit solvent of various quality are studied to extract the scaling exponent nu the data are analyzed using linear fits correctiontoscaling forms and analytical fits to the histograms of radius of gyration distribution for certain combinations of the polymer characteristics and solvent quality the correctiontoscaling terms are found to be essential while for the others these are negligibly small in each particular case the final value for the exponent nu was chosen according to the best leastsquares fit the values of nu obtained in this way are found within the interval nu055061 but are concentrated mostly around 059 which is very close to the best known theoretical result nu0588 the existence of this interval is attributed both to the peculiarities of the method and to the moderate chain lengths being simulated within this shortcoming the polymer chain in this kind of modeling is found to satisfy the scaling relations for all three radii being considered | [['we', 'performed', 'a', 'series', 'of', 'simulations', 'for', 'a', 'linear', 'polymer', 'chain', 'in', 'a', 'solvent', 'using', 'dissipative', 'particle', 'dynamics', 'to', 'check', 'the', 'scaling', 'relations', 'for', 'the', 'endtoend', 'distance', 'radius', 'of', 'gyration', 'and', 'hydrodynamic', 'radius', 'in', 'three', 'dimensions', 'the', 'polymer', 'chains', 'of', 'up', 'to', '80', 'beads', 'in', 'explicit', 'solvent', 'of', 'various', 'quality', 'are', 'studied', 'to', 'extract', 'the', 'scaling', 'exponent', 'nu', 'the', 'data', 'are', 'analyzed', 'using', 'linear', 'fits', 'correctiontoscaling', 'forms', 'and', 'analytical', 'fits', 'to', 'the', 'histograms', 'of', 'radius', 'of', 'gyration', 'distribution', 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'is', 'found', 'to', 'satisfy', 'the', 'scaling', 'relations', 'for', 'all', 'three', 'radii', 'being', 'considered']] | [-0.12178327673175984, 0.1099034565891318, -0.0732763613235544, 0.06841320749971959, -0.01690456215256938, -0.1327837511751274, 0.019905029460340926, 0.37428538121207794, -0.2526660131836178, -0.3022340435083165, 0.08659136836591054, -0.28704106699759985, -0.0649946855329391, 0.18913297153212075, 0.007620700599738594, 0.09017649352160398, 0.025297556542838464, 0.04576579203847984, -0.06612678013995966, -0.21178978582905286, 0.24077753874242794, 0.07708453507435442, 0.2593952536281913, 0.02976118018756611, 0.03908459579800209, -0.03092844768737753, -0.02057882136902819, 0.03782940057491868, -0.21459720357829196, 0.10161114814267917, 0.22910385826459118, 0.015434584173496173, 0.2137099609550352, -0.36521988078973, -0.18017221502830377, 0.07671246928870772, 0.16914624479044266, 0.07496868646433201, 0.021597108133419446, -0.22817072861550394, 0.11549606698393503, 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712.036 | Quantum corrections to the noncommutative kink | We calculate quantum corrections to the mass of noncommutative phi^4 kink in
(1+1) dimensions for intermediate and large values of the noncommutativity
parameter theta. All one-loop divergences are removed by a mass renormalization
(which is different from the one required in the topologically trivial sector).
For large theta quantum corrections to the mass grow linearly with theta
signaling about possible break down of the perturbative expansion.
| hep-th | we calculate quantum corrections to the mass of noncommutative phi4 kink in 11 dimensions for intermediate and large values of the noncommutativity parameter theta all oneloop divergences are removed by a mass renormalization which is different from the one required in the topologically trivial sector for large theta quantum corrections to the mass grow linearly with theta signaling about possible break down of the perturbative expansion | [['we', 'calculate', 'quantum', 'corrections', 'to', 'the', 'mass', 'of', 'noncommutative', 'phi4', 'kink', 'in', '11', 'dimensions', 'for', 'intermediate', 'and', 'large', 'values', 'of', 'the', 'noncommutativity', 'parameter', 'theta', 'all', 'oneloop', 'divergences', 'are', 'removed', 'by', 'a', 'mass', 'renormalization', 'which', 'is', 'different', 'from', 'the', 'one', 'required', 'in', 'the', 'topologically', 'trivial', 'sector', 'for', 'large', 'theta', 'quantum', 'corrections', 'to', 'the', 'mass', 'grow', 'linearly', 'with', 'theta', 'signaling', 'about', 'possible', 'break', 'down', 'of', 'the', 'perturbative', 'expansion']] | [-0.16707344079446612, 0.2756096616697808, -0.04473954643771955, 0.12631133174925874, -0.06104569997864239, -0.154124282236973, 0.03227419068218407, 0.25736418013658485, -0.23366540746594017, -0.2959829366300255, 0.05826073068822028, -0.2925629974483992, -0.0731634475911657, 0.13674801602874967, 0.021588249908139307, 0.08091433015215443, -0.06467314724895087, 0.036980233642018655, -0.1438687643094454, -0.24160425736089097, 0.3717710470611399, 0.019144572040672894, 0.1754849973543914, 0.07293461898172443, 0.05631106941974863, -0.032390487044308844, -0.013430498596845251, -0.03504362081487974, -0.1694154296613609, 0.030112022442291633, 0.22121621975957445, -0.013081517546776344, 0.1886679113024112, -0.3505065093014502, -0.14834735788066278, 0.06017649261929998, 0.17463773725356793, 0.14673520173792812, 0.013498207624775894, -0.2407832769394824, 0.051071346568113025, -0.19983571259812874, -0.1819059891329909, -0.11186465230121305, 0.015141632506680307, -0.11031724863939664, -0.27170654319960513, 0.12401456114920703, -0.04870980624885609, 0.0026013774049440117, 0.03387171411745702, -0.08667838123316567, -0.08798808083432078, 0.137782376559423, 0.14942171256354247, 0.06317059488289735, 0.13339082432459248, -0.18523907406029827, -0.08425710372852557, 0.37461637224381167, -0.04771308661050474, -0.18034775065836695, 0.10864942223115852, -0.222900875808784, -0.15541935212571512, 0.17391686897837755, 0.11172216484379588, 0.13119739773118813, -0.08429460697384043, 0.19354474744812417, 0.039820842035679205, 0.18662865400652995, 0.13067792421630162, 0.03104172328091932, 0.20792127172039312, 0.02170133882794868, 0.022029048431608262, 0.10557446256279945, -0.05782029694334293, -0.16438385815920561, -0.3954861812067754, -0.12254233450882814, -0.14503614807847154, 0.12159659833449757, -0.19692800524904724, -0.19548796223137865, 0.3614917348110766, 0.16139246004802937, 0.2334427272929161, 0.07506599264028906, 0.2557662849907171, 0.15365254502852843, 0.16054292452154736, 0.05174267645501955, 0.26352391113654117, 0.1418112215028624, 0.038363661828704855, -0.2700162697477605, -0.08400758346683826, 0.08045093582547976] |
712.0361 | Determining Heavy Mass Parameters in Supersymmetric SO(10) Models | Extrapolations of soft scalar mass parameters in supersymmetric theories can
be used to explore elements of the physics scenario near the grand unification
scale. We investigate the potential of this method in the lepton sector of
SO(10) which incorporates right-handed neutrino superfields. The method is
exemplified in two models by exploring limits on the precision that can be
expected from coherent LHC and e+e- collider analyses in the reconstruction of
the fundamental scalar mass parameters at the unification scale and of the
D-terms related to the breaking of grand unification symmetries. In addition,
the mass of the third-generation right-handed neutrino can be estimated in
seesaw scenarios. Even though the models are simplified and not intended to
account for all aspects of a final comprehensive SO(10) theory, they provide
nevertheless a valid base for identifying essential elements that can be
inferred on the fundamental high-scale theory from high-energy experiments.
| hep-ph | extrapolations of soft scalar mass parameters in supersymmetric theories can be used to explore elements of the physics scenario near the grand unification scale we investigate the potential of this method in the lepton sector of so10 which incorporates righthanded neutrino superfields the method is exemplified in two models by exploring limits on the precision that can be expected from coherent lhc and ee collider analyses in the reconstruction of the fundamental scalar mass parameters at the unification scale and of the dterms related to the breaking of grand unification symmetries in addition the mass of the thirdgeneration righthanded neutrino can be estimated in seesaw scenarios even though the models are simplified and not intended to account for all aspects of a final comprehensive so10 theory they provide nevertheless a valid base for identifying essential elements that can be inferred on the fundamental highscale theory from highenergy experiments | [['extrapolations', 'of', 'soft', 'scalar', 'mass', 'parameters', 'in', 'supersymmetric', 'theories', 'can', 'be', 'used', 'to', 'explore', 'elements', 'of', 'the', 'physics', 'scenario', 'near', 'the', 'grand', 'unification', 'scale', 'we', 'investigate', 'the', 'potential', 'of', 'this', 'method', 'in', 'the', 'lepton', 'sector', 'of', 'so10', 'which', 'incorporates', 'righthanded', 'neutrino', 'superfields', 'the', 'method', 'is', 'exemplified', 'in', 'two', 'models', 'by', 'exploring', 'limits', 'on', 'the', 'precision', 'that', 'can', 'be', 'expected', 'from', 'coherent', 'lhc', 'and', 'ee', 'collider', 'analyses', 'in', 'the', 'reconstruction', 'of', 'the', 'fundamental', 'scalar', 'mass', 'parameters', 'at', 'the', 'unification', 'scale', 'and', 'of', 'the', 'dterms', 'related', 'to', 'the', 'breaking', 'of', 'grand', 'unification', 'symmetries', 'in', 'addition', 'the', 'mass', 'of', 'the', 'thirdgeneration', 'righthanded', 'neutrino', 'can', 'be', 'estimated', 'in', 'seesaw', 'scenarios', 'even', 'though', 'the', 'models', 'are', 'simplified', 'and', 'not', 'intended', 'to', 'account', 'for', 'all', 'aspects', 'of', 'a', 'final', 'comprehensive', 'so10', 'theory', 'they', 'provide', 'nevertheless', 'a', 'valid', 'base', 'for', 'identifying', 'essential', 'elements', 'that', 'can', 'be', 'inferred', 'on', 'the', 'fundamental', 'highscale', 'theory', 'from', 'highenergy', 'experiments']] | [-0.07488569514070814, 0.22498528680424332, -0.04505914132224043, 0.20139938685413752, -0.06315729083380082, -0.15230163597388546, 0.008364748053970066, 0.31335656298324466, -0.2152069939703152, -0.32431954375745076, 0.08014782633619837, -0.21012229253412099, -0.07321259623229806, 0.16200809965124102, 0.004085643868264113, 0.03082354217956497, 0.02126322268206324, -0.008296521230894959, -0.09260783146522511, -0.2283757922075991, 0.2982570739790193, 0.0806025728470067, 0.21872600876550014, 0.07476830704001407, 0.0635560250595665, -0.04902104037889355, -0.020384162060312322, -0.05763291604691059, -0.06970660162924842, 0.11474277676756468, 0.2333247657585358, 0.1336227768632533, 0.13425561808981, -0.41625886991292843, -0.2053185250347392, 0.15703791767334002, 0.15754202900889386, 0.10399360755518255, -0.05493656820082735, -0.2914873322635587, 0.09461543176675567, -0.20612890125139038, -0.1242817049512539, -0.0827053258025616, -0.09783539755546765, -0.0860607748335177, -0.33228600412493925, 0.07530498994212295, -0.04531745221528753, -0.0068788127202817516, -0.034255491019025246, -0.14336764105167743, -0.04330250229592108, 0.07014589848600931, 0.16754111740659494, -0.04325305315905024, 0.1505146776939541, -0.21821618847064422, -0.16158224693562434, 0.4615342004753247, -0.0574975783269651, -0.1721995717128487, 0.16565442244786568, -0.15123429013859807, -0.17836700377646028, 0.07277841967329182, 0.22167516949372618, 0.08600937875264601, -0.16893575385817, 0.19948835014499333, -0.05648255653402491, 0.16930074320564903, 0.02653917603075152, 0.03476501429827909, 0.33393776386888147, 0.21522079146391637, 0.02880610037922255, -0.0038809069012279143, -0.03818378534728057, -0.0839841293982809, -0.43188392470993503, -0.09375238978001918, -0.11263461938093265, 0.04089677656028889, -0.08337047211230006, -0.07728560614663907, 0.4496434710438464, 0.17326511226191715, 0.21161594366532047, 0.012920383371041483, 0.27425507910555935, 0.08992866046861997, 0.13053573172077745, -0.011452951513854566, 0.3228339999599533, 0.11127352643588155, 0.06592346252747686, -0.22013661537218737, -0.02412653835553273, 0.11497039649780286] |
712.0362 | A Mathematical Proof of Dodgson's Algorithm | In this paper we give a mathematical proof of Dodgson algorithm [1]. Recently
Zeilberger [2] gave a bijective proof. Our techniques are based on determinant
properties and they are obtained by induction.
| math.CO | in this paper we give a mathematical proof of dodgson algorithm 1 recently zeilberger 2 gave a bijective proof our techniques are based on determinant properties and they are obtained by induction | [['in', 'this', 'paper', 'we', 'give', 'a', 'mathematical', 'proof', 'of', 'dodgson', 'algorithm', '1', 'recently', 'zeilberger', '2', 'gave', 'a', 'bijective', 'proof', 'our', 'techniques', 'are', 'based', 'on', 'determinant', 'properties', 'and', 'they', 'are', 'obtained', 'by', 'induction']] | [-0.08671712357318029, 0.016698701581844944, -0.17975353705696762, 0.08647844580627861, -0.13540545493015088, -0.1573354872816708, 0.05703504516350222, 0.3464411892055068, -0.20391469250898808, -0.31592288450337946, 0.14438853930550977, -0.20592304288584273, -0.26026888185879216, 0.24689809590927325, -0.13849510432919487, 0.000304560613585636, 0.07932034973055124, -0.02151542715728283, -0.07060187183742528, -0.31555892270989716, 0.3058924822107656, -0.013031564973061904, 0.20010657864622772, 0.10209874203428626, 0.11616569561010692, 0.006936841848073527, -0.11584716250945348, -0.03779177844990045, -0.20544986665481701, 0.17684059182647616, 0.23322322958847508, 0.19980876821500715, 0.24929668290133122, -0.41805418813601136, -0.07436940992192831, 0.04756013656151481, 0.13990099813963752, 0.12742340940167196, -0.12083437639012118, -0.28680674808856566, 0.11365724686766043, -0.11678520090936217, -0.07542539238056634, -0.12675233712798217, 0.043488864961545914, 0.049995734298136085, -0.2638410038780421, 0.025887115363730118, 0.18717160710366443, 0.1597401020990219, 0.015298170255846344, -0.20534373563714325, 0.12020177685917588, 0.03832367536961101, -0.021865972958039492, 0.03997012716718018, 0.03824927088862751, -0.023141598714573774, -0.21219559252494946, 0.27536584599874914, 0.013833664736011997, -0.1912167799018789, 0.1670813724558684, -0.011211316603294108, -0.19734595293994062, 0.0957217786781257, 0.06207007117336616, 0.15487068495713174, -0.1263818005390931, 0.11197645393076527, -0.1462654098722851, 0.1105853353801649, 0.12432913432712667, -0.04683589522028342, 0.0771221406175755, 0.10233086701191496, 0.01148082347935997, 0.13350168301258236, 0.052821182856860105, -0.014782034952077083, -0.2889541260083206, -0.2024898132222006, -0.18366355588659644, 0.09267077624099329, -0.020567779996326863, -0.15545926382765174, 0.392514054547064, 0.12013931648107246, 0.19995603125425987, 0.1875150917621795, 0.24928751713014208, 0.1306897096983448, -0.007424749172059819, 0.07403946062549949, 0.21016596058689174, 0.17945742834854173, 0.11679991238634102, -0.051557747789047426, 0.05546906801464502, 0.3013382922799792] |
712.0363 | Coincidences in 4 dimensions | The coincidence site lattices (CSLs) of prominent 4-dimensional lattices are
considered. CSLs in 3 dimensions have been used for decades to describe grain
boundaries in crystals. Quasicrystals suggest to also look at CSLs in
dimensions $d>3$. Here, we discuss the CSLs of the root lattice $A_4$ and the
hypercubic lattices, which are of particular interest both from the
mathematical and the crystallographic viewpoint. Quaternion algebras are used
to derive their coincidence rotations and the CSLs. We make use of the fact
that the CSLs can be linked to certain ideals and compute their indices, their
multiplicities and encapsulate all this in generating functions in terms of
Dirichlet series. In addition, we sketch how these results can be generalised
for 4--dimensional $\Z$--modules by discussing the icosian ring.
| math.MG math.CO | the coincidence site lattices csls of prominent 4dimensional lattices are considered csls in 3 dimensions have been used for decades to describe grain boundaries in crystals quasicrystals suggest to also look at csls in dimensions d3 here we discuss the csls of the root lattice a_4 and the hypercubic lattices which are of particular interest both from the mathematical and the crystallographic viewpoint quaternion algebras are used to derive their coincidence rotations and the csls we make use of the fact that the csls can be linked to certain ideals and compute their indices their multiplicities and encapsulate all this in generating functions in terms of dirichlet series in addition we sketch how these results can be generalised for 4dimensional zmodules by discussing the icosian ring | [['the', 'coincidence', 'site', 'lattices', 'csls', 'of', 'prominent', '4dimensional', 'lattices', 'are', 'considered', 'csls', 'in', '3', 'dimensions', 'have', 'been', 'used', 'for', 'decades', 'to', 'describe', 'grain', 'boundaries', 'in', 'crystals', 'quasicrystals', 'suggest', 'to', 'also', 'look', 'at', 'csls', 'in', 'dimensions', 'd3', 'here', 'we', 'discuss', 'the', 'csls', 'of', 'the', 'root', 'lattice', 'a_4', 'and', 'the', 'hypercubic', 'lattices', 'which', 'are', 'of', 'particular', 'interest', 'both', 'from', 'the', 'mathematical', 'and', 'the', 'crystallographic', 'viewpoint', 'quaternion', 'algebras', 'are', 'used', 'to', 'derive', 'their', 'coincidence', 'rotations', 'and', 'the', 'csls', 'we', 'make', 'use', 'of', 'the', 'fact', 'that', 'the', 'csls', 'can', 'be', 'linked', 'to', 'certain', 'ideals', 'and', 'compute', 'their', 'indices', 'their', 'multiplicities', 'and', 'encapsulate', 'all', 'this', 'in', 'generating', 'functions', 'in', 'terms', 'of', 'dirichlet', 'series', 'in', 'addition', 'we', 'sketch', 'how', 'these', 'results', 'can', 'be', 'generalised', 'for', '4dimensional', 'zmodules', 'by', 'discussing', 'the', 'icosian', 'ring']] | [-0.07242570617162282, 0.16220158128167636, -0.04867344882915772, 0.10004326230421337, -0.07851627916615042, -0.12716951256706602, -0.02565879034735854, 0.4453128420245198, -0.2678647600982841, -0.2340708066088458, 0.14826737696652315, -0.2574433629911038, -0.15930524444769298, 0.14789593593256237, -0.05823562370746264, 0.01615819096240023, -0.0037764227387332727, 0.03674659945647277, -0.10481394728874817, -0.33107930418872644, 0.32673190023550497, -0.002216131945643278, 0.25351543395247844, 0.06307927494691241, 0.04989187563917348, -0.003216445182232068, -0.021810175607069618, 0.008555268921468052, -0.18399077467094888, 0.15597625619949892, 0.2747547301752049, 0.04050396432146607, 0.12158145898923514, -0.4513156945329337, -0.16396362496362554, 0.11296954971279889, 0.16054147550289238, 0.12421956093194672, -0.004695290093502355, -0.24185201522731592, 0.07348833835290168, -0.14802689415713152, -0.1783422836091458, -0.13721438486956888, 0.020837311026832415, 0.04306065477153641, -0.18319918424452816, 0.049422149016338936, 0.063304564961794, 0.10742357153711575, -0.06390657285893601, -0.13097098688890654, -0.009448037700845844, 0.13279421841134392, 0.03269410269364478, -0.04592837037016002, 0.05383705457909003, -0.09792101648007889, -0.20187904005722393, 0.432484990436702, 0.04444821236566419, -0.21503273249485544, 0.18120598367282323, -0.19036070113661624, -0.16936947705431116, 0.07777634198733029, 0.13475145545921155, 0.08268054896995189, -0.10141663998365402, 0.1029010737506074, -0.0835845973693751, 0.08210147168794056, 0.14456959558273888, 0.03917586852589415, 0.22038277821792734, 0.06186288980848437, -0.0031817424356371964, 0.18470079085183522, -0.04346878898684822, -0.07296775814722337, -0.3015548054217583, -0.175431195384128, -0.16507701057153532, 0.05369655498569565, -0.11844180824384297, -0.14379577794008785, 0.3940850911469805, 0.1499318419750096, 0.1977831919027108, 0.01928379852047545, 0.12525296108501535, 0.08152282034002599, 0.09757544547998502, 0.013146416426429318, 0.1732100758568517, 0.1343744645608471, 0.05215657568935837, -0.17361993374790818, -0.04360909640995993, 0.13604739740757005] |
712.0364 | Dynamics of Non-Conservative Voters | We study a family of opinion formation models in one dimension where the
propensity for a voter to align with its local environment depends non-linearly
on the fraction of disagreeing neighbors. Depending on this non-linearity in
the voting rule, the population may exhibit a bias toward zero magnetization or
toward consensus, and the average magnetization is generally not conserved. We
use a decoupling approximation to truncate the equation hierarchy for
multi-point spin correlations and thereby derive the probability to reach a
final state of a given consensus as a function of the initial magnetization.
The case when voters are influenced by more distant voters is also considered
by investigating the Sznajd model.
| physics.data-an cond-mat.stat-mech physics.ed-ph | we study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends nonlinearly on the fraction of disagreeing neighbors depending on this nonlinearity in the voting rule the population may exhibit a bias toward zero magnetization or toward consensus and the average magnetization is generally not conserved we use a decoupling approximation to truncate the equation hierarchy for multipoint spin correlations and thereby derive the probability to reach a final state of a given consensus as a function of the initial magnetization the case when voters are influenced by more distant voters is also considered by investigating the sznajd model | [['we', 'study', 'a', 'family', 'of', 'opinion', 'formation', 'models', 'in', 'one', 'dimension', 'where', 'the', 'propensity', 'for', 'a', 'voter', 'to', 'align', 'with', 'its', 'local', 'environment', 'depends', 'nonlinearly', 'on', 'the', 'fraction', 'of', 'disagreeing', 'neighbors', 'depending', 'on', 'this', 'nonlinearity', 'in', 'the', 'voting', 'rule', 'the', 'population', 'may', 'exhibit', 'a', 'bias', 'toward', 'zero', 'magnetization', 'or', 'toward', 'consensus', 'and', 'the', 'average', 'magnetization', 'is', 'generally', 'not', 'conserved', 'we', 'use', 'a', 'decoupling', 'approximation', 'to', 'truncate', 'the', 'equation', 'hierarchy', 'for', 'multipoint', 'spin', 'correlations', 'and', 'thereby', 'derive', 'the', 'probability', 'to', 'reach', 'a', 'final', 'state', 'of', 'a', 'given', 'consensus', 'as', 'a', 'function', 'of', 'the', 'initial', 'magnetization', 'the', 'case', 'when', 'voters', 'are', 'influenced', 'by', 'more', 'distant', 'voters', 'is', 'also', 'considered', 'by', 'investigating', 'the', 'sznajd', 'model']] | [-0.13383527887448768, 0.11576390878430434, -0.0706322640513203, 0.06169855409617802, -0.08207889746907833, -0.16020231402944773, 0.130611540200854, 0.3530907246417233, -0.23730561120776525, -0.27114442603280103, 0.08524090446423672, -0.26550597830542494, -0.08471814270056452, 0.10327253593589246, -0.002826466432972146, -0.01793625456100147, 0.014584481001033314, 0.08404604424971954, -0.0333308912605779, -0.2933351154040013, 0.32651203499075826, 0.033136252436504164, 0.2578901615363845, -0.00876361527064416, 0.09989443263787377, 0.03181543897621201, 0.03759824135756519, 0.03812356690676617, -0.1203946276800707, 0.05051670456720915, 0.20153403187516364, 0.07095077988716574, 0.33339245565834325, -0.3906761526263186, -0.171997313897009, 0.12716767340732207, 0.15413177251632856, 0.15850238485394844, 0.00032522597276900863, -0.27504685204933466, 0.04896022823439645, -0.17623018305416085, -0.16643905198517522, -0.05474250139169661, 0.030261979132774286, 0.0629348080879676, -0.2974003473937046, 0.12444503308896467, 0.07605958691523743, 0.042035285948908756, -0.07050559353852545, -0.0897831752746632, -0.0783154032069433, 0.0969860771607013, 0.03358645640608821, 0.03745365974983932, 0.16011665485815943, -0.1756382862825246, -0.1108527966467331, 0.35173235800955027, -0.025776377542310262, -0.23534930396012246, 0.15278327070076816, -0.16470439917091945, -0.13607160456428705, 0.06438254988461267, 0.17412381140249117, 0.11530134145453173, -0.1350003558645767, 0.009188058020039793, -0.039342969888821244, 0.19144688072836807, 0.019619267429724068, 0.004716457165029299, 0.22572754694348468, 0.168671567356796, 0.13594306460748026, 0.12696689154264668, -0.05756968251496021, -0.1750420539589998, -0.22876157841112996, -0.13481557272358, -0.19085650251612865, 0.08911220575737389, -0.08858853669802816, -0.15435749932242157, 0.39796835483450976, 0.1390721539137303, 0.22593550595255302, 0.08312841045803257, 0.2470830290829846, 0.12927415177234383, 0.03808696569259545, 0.0754593144894378, 0.2371891170291097, 0.11952477468834591, 0.06709155480971926, -0.24139267758956912, 0.17840887411668, 0.03610727754130494] |
712.0365 | Comment on ''A path integral leading to higher-order Lagrangians,
arXiv:0708.4351 [hep-th]'' | We show that the ``effective Lagrangian'' constructed in [1] is inconsistent
with the exact result for the complete Lagrangian presented in [2]. We trace
the origin of the inconsistence to the peculiar way in which the path integral
methods are used to eliminate variables that are not auxialiry.
| hep-th | we show that the effective lagrangian constructed in 1 is inconsistent with the exact result for the complete lagrangian presented in 2 we trace the origin of the inconsistence to the peculiar way in which the path integral methods are used to eliminate variables that are not auxialiry | [['we', 'show', 'that', 'the', 'effective', 'lagrangian', 'constructed', 'in', '1', 'is', 'inconsistent', 'with', 'the', 'exact', 'result', 'for', 'the', 'complete', 'lagrangian', 'presented', 'in', '2', 'we', 'trace', 'the', 'origin', 'of', 'the', 'inconsistence', 'to', 'the', 'peculiar', 'way', 'in', 'which', 'the', 'path', 'integral', 'methods', 'are', 'used', 'to', 'eliminate', 'variables', 'that', 'are', 'not', 'auxialiry']] | [-0.10974635800069317, 0.06675229540609932, -0.11413851126711419, 0.10565869907719737, -0.08252546880790528, -0.06980330060097448, -0.004833630900433723, 0.391577006575275, -0.26474269923377547, -0.28649899823234437, 0.07750957502062096, -0.24464264623028167, -0.16827276097412439, 0.16999728924178698, -0.08241478135769671, 0.015439843105033357, 0.03389052491872869, 0.0665331100648705, -0.07288433112045552, -0.24117461383897573, 0.32827371073530076, 0.00408328235387168, 0.18154764809507004, 0.025027531001003498, 0.10902347005507414, -0.00013834116187818506, -0.06528450610076493, 0.06973069779416348, -0.14444701744774802, 0.13145470817912708, 0.24342784356880695, 0.1132750891624613, 0.170716030047612, -0.41409934284363653, -0.18741368912556705, 0.10761549263360336, 0.15008077546557846, 0.12625965587745241, -0.015665259212255478, -0.2303966396052311, 0.14950744762144824, -0.11894861030134748, -0.19362268563201454, -0.08009284059021701, 0.006886836775439851, 0.019708165007227278, -0.24982690112665296, 0.0803385471418609, 0.06986749841970333, 0.01150331154287337, -0.06787473078262299, -0.11718935910810499, 0.0015174472664899014, 0.1220259418750697, 0.05317415776068067, 0.05960865373267455, 0.055974917674556056, -0.10480966602769146, -0.09086818265867361, 0.37872699836387913, -0.10302599002309937, -0.21978452450972288, 0.18339230389671124, -0.1160971595846275, -0.16061296789570056, 0.1442519709309365, 0.08533956213517392, 0.13943250704695412, -0.18464714258988488, 0.06777932575131033, -0.030254995252223724, 0.09591980139784356, -0.00569471736200788, 0.02693576427136964, 0.12706466436716157, 0.06284594257421633, 0.07635190324025586, 0.08567742703165462, -0.0637222300977149, -0.11076869767040332, -0.3649180197018258, -0.16662995587350762, -0.17751005849741558, 0.01662741316652094, -0.05785504703786462, -0.14874993816533305, 0.35742523085246697, 0.20804178764290632, 0.20974360713537069, 0.043401422556192476, 0.26777385381308005, 0.14440008429215945, 0.10779970182858883, 0.10225251960033115, 0.2713167200935014, 0.1036958026283599, 0.04464200436276324, -0.21919878686287816, 0.016573934469054988, 0.09569381193277683] |
712.0366 | Cooperative electron-phonon interaction in molecular chains | Using a controlled analytic treatment, we derive a model that generically
describes cooperative strong electron-phonon interaction (EPI) in one-band and
two-band Jahn-Teller (JT) systems. The model involves a {\em
next-nearest-neighbor} hopping and a nearest-neighbor repulsion. Rings with odd
number of sites (o-rings) belong to a different universality class compared to
rings with even number (e-rings). The e-rings, upon tuning repulsion, undergo a
dramatic discontinuous transition to a {\em conducting commensurate} charge
density wave (CDW) state with a period independent of filling.
| cond-mat.str-el cond-mat.mtrl-sci | using a controlled analytic treatment we derive a model that generically describes cooperative strong electronphonon interaction epi in oneband and twoband jahnteller jt systems the model involves a em nextnearestneighbor hopping and a nearestneighbor repulsion rings with odd number of sites orings belong to a different universality class compared to rings with even number erings the erings upon tuning repulsion undergo a dramatic discontinuous transition to a em conducting commensurate charge density wave cdw state with a period independent of filling | [['using', 'a', 'controlled', 'analytic', 'treatment', 'we', 'derive', 'a', 'model', 'that', 'generically', 'describes', 'cooperative', 'strong', 'electronphonon', 'interaction', 'epi', 'in', 'oneband', 'and', 'twoband', 'jahnteller', 'jt', 'systems', 'the', 'model', 'involves', 'a', 'em', 'nextnearestneighbor', 'hopping', 'and', 'a', 'nearestneighbor', 'repulsion', 'rings', 'with', 'odd', 'number', 'of', 'sites', 'orings', 'belong', 'to', 'a', 'different', 'universality', 'class', 'compared', 'to', 'rings', 'with', 'even', 'number', 'erings', 'the', 'erings', 'upon', 'tuning', 'repulsion', 'undergo', 'a', 'dramatic', 'discontinuous', 'transition', 'to', 'a', 'em', 'conducting', 'commensurate', 'charge', 'density', 'wave', 'cdw', 'state', 'with', 'a', 'period', 'independent', 'of', 'filling']] | [-0.27888524074705295, 0.21429385356375097, 0.01402479164765136, 0.06653381841268713, -0.058345442097404124, -0.25648319314199464, 0.11719256281323823, 0.3626385507300312, -0.22607356656837152, -0.2254862211138746, -0.0576125140586454, -0.3077008483218558, -0.14728057137288061, 0.08550108757364437, 0.07560814726223916, -0.05718790159853934, -0.0018745105092724164, -0.036466354895153166, -0.10445205362536657, -0.1853064998242728, 0.2647494115797734, -0.010963317742686213, 0.2648781742555676, 0.042997414729109514, 0.011791127998335862, 0.10719858209981963, 0.12614562542768437, 0.07012726764344139, -0.1632434397244741, 0.023135406242354405, 0.2555294049951179, -0.112010146778046, 0.2399609326902363, -0.40508652501452114, -0.21749302578147178, 0.06550303119648662, 0.11863405482030048, 0.16220323165395745, -0.039328793776623995, -0.2737336784808172, -0.03107941525493875, -0.27743226701658175, -0.12591488052297523, -0.07342273966167812, 0.021202512576969132, 0.055062968028065415, -0.34201405344553937, 0.13867595001917193, 0.06546971433290084, 0.06761046950877816, -0.12347956898300276, -0.08406272445471934, -0.04716110071972197, 0.019541798619392477, 0.03992147481264432, 0.08422371000051498, 0.10112240724840466, -0.08807629940134508, -0.08983466049863233, 0.3730426059782873, -0.04967796578313465, -0.13353373397739582, 0.22289274750783303, -0.15085467524872517, -0.0717439680693694, 0.2284579116759109, 0.1088503806443632, 0.040102263199694364, -0.09191441437068545, 0.10661513781473961, -0.003870641624225867, 0.1822199534587447, 0.013241430859506867, 0.02900808255682573, 0.21444398122925865, 0.16821195189208712, 0.0726411810035553, 0.13163154805653993, -0.06537939356295047, -0.1238984776902254, -0.2315226505269055, -0.09312066136870856, -0.2518781091310774, 0.06984214000687733, -0.08442875131480339, -0.24741361260897032, 0.382884939574855, 0.12832300706456104, 0.1903572290399928, 0.008943303255364299, 0.17106296132997045, 0.0769750630334997, 0.07416392272330366, 0.017776041102658867, 0.19568239796596268, 0.14994056976434808, 0.061232419638538066, -0.2793765823589638, 0.039839428964496396, 0.11732845053502163] |
712.0367 | Cross-Scale Sensitivity Analysis of a Non-Small Cell Lung Cancer Model:
Linking Molecular Signaling Properties to Cellular Behavior | Sensitivity analysis is an effective tool for systematically identifying
specific perturbations in parameters that have significant effects on the
behavior of a given biosystem, at the scale investigated. In this work, using a
two-dimensional, multiscale non-small cell lung cancer (NSCLC) model, we
examine the effects of perturbations in system parameters which span both
molecular and cellular levels, i.e. across scales of interest. This is achieved
by first linking molecular and cellular activities and then assessing the
influence of parameters at the molecular level on the tumor's spatio-temporal
expansion rate, which serves as the output behavior at the cellular level.
Overall, the algorithm operated reliably over relatively large variations of
most parameters, hence confirming the robustness of the model. However, three
pathway components (proteins PKC, MEK, and ERK) and eleven reaction steps were
determined to be of critical importance by employing a sensitivity coefficient
as an evaluation index. Each of these sensitive parameters exhibited a similar
changing pattern in that a relatively larger increase or decrease in its value
resulted in a lesser influence on the system's cellular performance. This study
provides a novel cross-scaled approach to analyzing sensitivities of
computational model parameters and proposes its application to
interdisciplinary biomarker studies.
| q-bio.QM | sensitivity analysis is an effective tool for systematically identifying specific perturbations in parameters that have significant effects on the behavior of a given biosystem at the scale investigated in this work using a twodimensional multiscale nonsmall cell lung cancer nsclc model we examine the effects of perturbations in system parameters which span both molecular and cellular levels ie across scales of interest this is achieved by first linking molecular and cellular activities and then assessing the influence of parameters at the molecular level on the tumors spatiotemporal expansion rate which serves as the output behavior at the cellular level overall the algorithm operated reliably over relatively large variations of most parameters hence confirming the robustness of the model however three pathway components proteins pkc mek and erk and eleven reaction steps were determined to be of critical importance by employing a sensitivity coefficient as an evaluation index each of these sensitive parameters exhibited a similar changing pattern in that a relatively larger increase or decrease in its value resulted in a lesser influence on the systems cellular performance this study provides a novel crossscaled approach to analyzing sensitivities of computational model parameters and proposes its application to interdisciplinary biomarker studies | [['sensitivity', 'analysis', 'is', 'an', 'effective', 'tool', 'for', 'systematically', 'identifying', 'specific', 'perturbations', 'in', 'parameters', 'that', 'have', 'significant', 'effects', 'on', 'the', 'behavior', 'of', 'a', 'given', 'biosystem', 'at', 'the', 'scale', 'investigated', 'in', 'this', 'work', 'using', 'a', 'twodimensional', 'multiscale', 'nonsmall', 'cell', 'lung', 'cancer', 'nsclc', 'model', 'we', 'examine', 'the', 'effects', 'of', 'perturbations', 'in', 'system', 'parameters', 'which', 'span', 'both', 'molecular', 'and', 'cellular', 'levels', 'ie', 'across', 'scales', 'of', 'interest', 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712.0368 | Two-phonon coupling to the antiferromagnetic phase transition in
multiferroic BiFeO3 | A prominent band centered at around 1000-1300 cm-1 and associated with
resonant enhancement of two-phonon Raman scattering is reported in multiferroic
BiFeO3 thin films and single crystals. A strong anomaly in this band occurs at
the antiferromagnetic Neel temperature. This band is composed of three peaks,
assigned to 2A4, 2E8, and 2E9 Raman modes. While all three peaks were found to
be sensitive to the antiferromagnetic phase transition, the 2E8 mode, in
particular, nearly disappears at TN on heating, indicating a strong spin-two
phonon coupling in BiFeO3.
| cond-mat.other | a prominent band centered at around 10001300 cm1 and associated with resonant enhancement of twophonon raman scattering is reported in multiferroic bifeo3 thin films and single crystals a strong anomaly in this band occurs at the antiferromagnetic neel temperature this band is composed of three peaks assigned to 2a4 2e8 and 2e9 raman modes while all three peaks were found to be sensitive to the antiferromagnetic phase transition the 2e8 mode in particular nearly disappears at tn on heating indicating a strong spintwo phonon coupling in bifeo3 | [['a', 'prominent', 'band', 'centered', 'at', 'around', '10001300', 'cm1', 'and', 'associated', 'with', 'resonant', 'enhancement', 'of', 'twophonon', 'raman', 'scattering', 'is', 'reported', 'in', 'multiferroic', 'bifeo3', 'thin', 'films', 'and', 'single', 'crystals', 'a', 'strong', 'anomaly', 'in', 'this', 'band', 'occurs', 'at', 'the', 'antiferromagnetic', 'neel', 'temperature', 'this', 'band', 'is', 'composed', 'of', 'three', 'peaks', 'assigned', 'to', '2a4', '2e8', 'and', '2e9', 'raman', 'modes', 'while', 'all', 'three', 'peaks', 'were', 'found', 'to', 'be', 'sensitive', 'to', 'the', 'antiferromagnetic', 'phase', 'transition', 'the', '2e8', 'mode', 'in', 'particular', 'nearly', 'disappears', 'at', 'tn', 'on', 'heating', 'indicating', 'a', 'strong', 'spintwo', 'phonon', 'coupling', 'in', 'bifeo3']] | [-0.18173574063883619, 0.2212312983262331, 0.01641192711242691, -0.032580136743829, -0.038984880690614496, -0.14150075476378376, 0.10746493796698836, 0.48217302621450536, -0.22445678243110345, -0.24489222183217144, 0.006354545335133755, -0.3845120055904222, -0.052635737868069216, 0.13529635181780472, 0.10959399791521042, -0.04249438838383486, -0.0648198247194117, -0.018356421350523136, -0.060709076532877465, -0.12413918579993553, 0.22921738323084143, 0.010442839745908629, 0.3053589082582919, 0.09689673081820094, 0.02607801397396035, -0.03575486626995857, 0.16273910586917123, -0.055589556482858786, -0.1325113415274076, -0.01782453556133564, 0.33391571597217823, -0.21291511117881382, 0.1872375873892113, -0.3562330201885468, -0.17173131523913768, 0.000947701005633314, 0.1649660657289936, 0.09952878307410364, -0.009202841026329458, -0.25299997014794934, 0.0552597128675146, -0.06151788518222612, -0.0844298162521946, -0.05563414244991077, -0.032656780936820215, -0.12002119170786098, -0.26239400912349675, 0.161243932494937, 0.058587181750078536, 0.12254653565942981, -0.118383105151182, -0.14733038714350483, -0.1312476840915245, -0.0373962661847039, 0.0898844918647651, 0.09884311253919678, 0.18064874233028225, -0.0417557408827422, -0.12041784791789575, 0.3801984233459523, -0.09575025683138953, 0.07556344473972744, 0.18233968797248118, -0.25343534390463734, -0.1216527423442363, 0.2964231967492852, 0.08516691922924893, 0.08678554223178951, -0.10402305088504109, 0.014716288505993826, 0.054195109665458804, 0.2389633529386375, 0.15823451982984363, 0.11881073270816096, 0.28319548775014186, 0.19216198357482722, -0.019162560845616947, 0.1462788904440416, -0.160003488453587, 0.01081655315478159, -0.20325702723375585, -0.10471280445723773, -0.196963841043789, 0.013411903125775415, -0.07963122837844462, -0.1843592361330466, 0.39622366478190174, 0.06933137960427409, 0.17041419400985158, -0.07957533456731675, 0.19824736238847118, 0.12005743859768954, 0.10848350535948263, 0.05791199753645721, 0.34609857497217006, 0.19326916379518375, 0.14990192493657328, -0.2854637121050727, 0.020706698918433557, -0.07417792100242751] |
712.0369 | An Intriguing Solar Microflare Observed with RHESSI, Hinode and TRACE | Investigate particle acceleration and heating in a solar microflare. In a
microflare with non-thermal emission to remarkably high energies ($>50$ keV),
we investigate the hard X-rays with RHESSI imaging and spectroscopy and the
resulting thermal emission seen in soft X-rays with Hinode/XRT and in EUV with
TRACE. The non-thermal footpoints observed with RHESSI spatially and temporally
match bright footpoint emission in soft X-rays and EUV. There is the
possibility that the non-thermal spectrum extends down to 4 keV. The hard X-ray
burst clearly does not follow the expected Neupert effect, with the time
integrated hard X-rays not matching the soft X-ray time profile. So although
this is a simple microflare with good X-ray observation coverage it does not
fit the standard flare model.
| astro-ph astro-ph.SR | investigate particle acceleration and heating in a solar microflare in a microflare with nonthermal emission to remarkably high energies 50 kev we investigate the hard xrays with rhessi imaging and spectroscopy and the resulting thermal emission seen in soft xrays with hinodexrt and in euv with trace the nonthermal footpoints observed with rhessi spatially and temporally match bright footpoint emission in soft xrays and euv there is the possibility that the nonthermal spectrum extends down to 4 kev the hard xray burst clearly does not follow the expected neupert effect with the time integrated hard xrays not matching the soft xray time profile so although this is a simple microflare with good xray observation coverage it does not fit the standard flare model | [['investigate', 'particle', 'acceleration', 'and', 'heating', 'in', 'a', 'solar', 'microflare', 'in', 'a', 'microflare', 'with', 'nonthermal', 'emission', 'to', 'remarkably', 'high', 'energies', '50', 'kev', 'we', 'investigate', 'the', 'hard', 'xrays', 'with', 'rhessi', 'imaging', 'and', 'spectroscopy', 'and', 'the', 'resulting', 'thermal', 'emission', 'seen', 'in', 'soft', 'xrays', 'with', 'hinodexrt', 'and', 'in', 'euv', 'with', 'trace', 'the', 'nonthermal', 'footpoints', 'observed', 'with', 'rhessi', 'spatially', 'and', 'temporally', 'match', 'bright', 'footpoint', 'emission', 'in', 'soft', 'xrays', 'and', 'euv', 'there', 'is', 'the', 'possibility', 'that', 'the', 'nonthermal', 'spectrum', 'extends', 'down', 'to', '4', 'kev', 'the', 'hard', 'xray', 'burst', 'clearly', 'does', 'not', 'follow', 'the', 'expected', 'neupert', 'effect', 'with', 'the', 'time', 'integrated', 'hard', 'xrays', 'not', 'matching', 'the', 'soft', 'xray', 'time', 'profile', 'so', 'although', 'this', 'is', 'a', 'simple', 'microflare', 'with', 'good', 'xray', 'observation', 'coverage', 'it', 'does', 'not', 'fit', 'the', 'standard', 'flare', 'model']] | [0.02874509940715128, 0.2150738101539664, -0.04844109685258652, 0.1827396871190806, -0.10356158410706293, -0.11366950057075942, 0.016506881983117845, 0.5670899235741879, -0.21020267811051108, -0.39950920628550335, 0.05059618434236514, -0.32869027726488503, -0.0031143694707169763, 0.193928264237645, -0.030041234582904877, 0.01030107520944704, 0.08335131047126966, -0.09307646090391933, -0.0026698116661708167, -0.13938114395349976, 0.18102245259844524, 0.16231673618596865, 0.1935555217853876, 0.07293398172889905, 0.05018040422743898, -0.031685854013009766, -0.05064255633671594, -0.0017186974675008437, -0.054105282536193414, 0.006274036321092427, 0.2045040013433275, 0.07028818044364755, 0.1498940800642216, -0.40259880405979426, -0.28989359653153557, 0.05643783786099374, 0.1531628657329252, -0.10841280003494727, -0.010498643489327372, -0.20716134857810367, -0.005404542612926505, -0.13811421424635056, -0.13341644480143014, 0.0662926417222716, -0.022691417831882107, -0.027803067125501187, -0.2121307095891334, 0.13495490539864433, 0.006560742825731575, 0.004562545408744637, -0.16111822475535356, 0.0525882487747027, 0.0009378323074036497, 0.033095127581126565, 0.0939859905444858, 0.05710398668056066, 0.17370437330195332, -0.10307778251296802, -0.13414320534443466, 0.3634098462412149, -0.05664239802901307, 0.08763674642072945, 0.23876450822416057, -0.2802275219947342, -0.19869813019394633, 0.3331994151211972, 0.029365064159823144, 0.06773127047572194, -0.1428358049124358, -0.008179284038771762, -0.0270847123668991, 0.29470406037876457, 0.07878159114152072, 0.039926919999070526, 0.2744284935174434, 0.06711106494587762, -0.011344309434355274, 0.18810481910930513, -0.27910858250366966, 0.011654342907079594, -0.272335897939946, -0.04524887739576596, -0.10848561604317974, 0.10239230389212262, -0.04541083614505653, -0.2350533594324337, 0.3736240910631188, 0.11454887894678831, 0.20829355962407903, 0.014965650044396763, 0.3691893028534525, 0.15461269172468806, 0.024847471730677577, 0.1816125061075256, 0.33598559023433827, 0.13051284231790683, 0.2282267734256944, -0.2385682070143218, 0.034506873382876314, -0.030052245719494615] |
712.037 | Local Void vs Dark Energy: Confrontation with WMAP and Type Ia
Supernovae | It is now a known fact that if we happen to be living in the middle of a
large underdense region, then we will observe an "apparent acceleration", even
when any form of dark energy is absent. In this paper, we present a "Minimal
Void" scenario, i.e. a "void" with minimal underdensity contrast (of about
-0.4) and radius (~ 200-250 Mpc/h) that can, not only explain the supernovae
data, but also be consistent with the 3-yr WMAP data. We also discuss
consistency of our model with various other measurements such as Big Bang
Nucleosynthesis, Baryon Acoustic Oscillations and local measurements of the
Hubble parameter, and also point out possible observable signatures.
| astro-ph hep-ph hep-th | it is now a known fact that if we happen to be living in the middle of a large underdense region then we will observe an apparent acceleration even when any form of dark energy is absent in this paper we present a minimal void scenario ie a void with minimal underdensity contrast of about 04 and radius 200250 mpch that can not only explain the supernovae data but also be consistent with the 3yr wmap data we also discuss consistency of our model with various other measurements such as big bang nucleosynthesis baryon acoustic oscillations and local measurements of the hubble parameter and also point out possible observable signatures | [['it', 'is', 'now', 'a', 'known', 'fact', 'that', 'if', 'we', 'happen', 'to', 'be', 'living', 'in', 'the', 'middle', 'of', 'a', 'large', 'underdense', 'region', 'then', 'we', 'will', 'observe', 'an', 'apparent', 'acceleration', 'even', 'when', 'any', 'form', 'of', 'dark', 'energy', 'is', 'absent', 'in', 'this', 'paper', 'we', 'present', 'a', 'minimal', 'void', 'scenario', 'ie', 'a', 'void', 'with', 'minimal', 'underdensity', 'contrast', 'of', 'about', '04', 'and', 'radius', '200250', 'mpch', 'that', 'can', 'not', 'only', 'explain', 'the', 'supernovae', 'data', 'but', 'also', 'be', 'consistent', 'with', 'the', '3yr', 'wmap', 'data', 'we', 'also', 'discuss', 'consistency', 'of', 'our', 'model', 'with', 'various', 'other', 'measurements', 'such', 'as', 'big', 'bang', 'nucleosynthesis', 'baryon', 'acoustic', 'oscillations', 'and', 'local', 'measurements', 'of', 'the', 'hubble', 'parameter', 'and', 'also', 'point', 'out', 'possible', 'observable', 'signatures']] | [-0.08127925067145209, 0.160453798093923, -0.08564717132936825, 0.1261139959065159, -0.10984268286688761, -0.10515063916417686, 0.03890337398624979, 0.35888014403595164, -0.2350022589533844, -0.317179819916121, 0.11384970906021243, -0.3034157662483102, -0.08783526097170331, 0.18451235116332432, -0.03593589586387018, -0.046307550235228104, 0.0692880629434843, 0.04371656927872788, -0.05459951697266661, -0.2571622465885329, 0.3045065899464217, 0.09880772393874147, 0.20987345351075584, 0.02986231332390823, 0.07249459570739418, -0.11137163410682908, -0.03114385908384892, 0.07625313568013635, -0.1851485729553546, 0.023178541183006017, 0.2270564975132319, 0.15508768782019616, 0.20803902665872803, -0.40653855122456495, -0.2242262444429798, 0.20954396451971577, 0.19308297181374987, 0.1492553022266789, -0.07912032019389285, -0.25569815219125963, 0.08092813990078866, -0.1674272167792713, -0.15006498152136125, -0.03177527726458555, -0.002152780138633468, -0.026881505828350784, -0.243672975377095, 0.15508532333743377, 0.01782876419919458, 0.02185864696617831, -0.053287913542325524, -0.03783650825816122, -0.03133416786176068, 0.030484530676039866, 0.058837624308018185, 0.037868371491574425, 0.13491215112365104, -0.1136347748624923, -0.03472290550866588, 0.39687412760474466, -0.07678245449311692, -0.08041838938158682, 0.15434523526028815, -0.2193693791600791, -0.15001035643826155, 0.06831292003308508, 0.10640356231121008, 0.06250868081961843, -0.13745833403200694, 0.08622961493304253, -0.0440116647535681, 0.20482753418010277, 0.0791765436868776, 0.03321199713020839, 0.2523421989584511, 0.1649269537852061, 0.07363778517412191, 0.03517882761132734, -0.15922067108648744, -0.011807069809451192, -0.3767463083040308, -0.11829413474029438, -0.15421571332844905, 0.04162267031880963, -0.12722396563106236, -0.16370300557041031, 0.32710357851041905, 0.1681478092531589, 0.27873374667357315, 0.02442544774279337, 0.30824468337761407, 0.032997549318877814, 0.09584077825579285, 0.09053477387536656, 0.2972977303307165, 0.07119899004359137, 0.08971033689396625, -0.16689763634719632, 0.03361472171011635, -0.05942193367095156] |
712.0371 | Jorge A. Swieca's contributions to quantum field theory in the 60s and
70s and their relevance in present research | After revisiting some high points of particle physics and QFT of the two
decades from 1960 to 1980, I comment on the work by Jorge Andre Swieca. I
explain how it fits into the quantum field theory during these two decades and
draw attention to its relevance to the ongoing particle physics research. A
particular aim of this article is to direct thr readers mindfulness to the
relevance of what at the time of Swieca was called "the Schwinger Higgs
screening mechanism". which, together with recent ideas which generalize the
concept of gauge theories, has all the ingredients to revolutionize the issue
of gauge theories and the standard model.
| physics.hist-ph hep-th | after revisiting some high points of particle physics and qft of the two decades from 1960 to 1980 i comment on the work by jorge andre swieca i explain how it fits into the quantum field theory during these two decades and draw attention to its relevance to the ongoing particle physics research a particular aim of this article is to direct thr readers mindfulness to the relevance of what at the time of swieca was called the schwinger higgs screening mechanism which together with recent ideas which generalize the concept of gauge theories has all the ingredients to revolutionize the issue of gauge theories and the standard model | [['after', 'revisiting', 'some', 'high', 'points', 'of', 'particle', 'physics', 'and', 'qft', 'of', 'the', 'two', 'decades', 'from', '1960', 'to', '1980', 'i', 'comment', 'on', 'the', 'work', 'by', 'jorge', 'andre', 'swieca', 'i', 'explain', 'how', 'it', 'fits', 'into', 'the', 'quantum', 'field', 'theory', 'during', 'these', 'two', 'decades', 'and', 'draw', 'attention', 'to', 'its', 'relevance', 'to', 'the', 'ongoing', 'particle', 'physics', 'research', 'a', 'particular', 'aim', 'of', 'this', 'article', 'is', 'to', 'direct', 'thr', 'readers', 'mindfulness', 'to', 'the', 'relevance', 'of', 'what', 'at', 'the', 'time', 'of', 'swieca', 'was', 'called', 'the', 'schwinger', 'higgs', 'screening', 'mechanism', 'which', 'together', 'with', 'recent', 'ideas', 'which', 'generalize', 'the', 'concept', 'of', 'gauge', 'theories', 'has', 'all', 'the', 'ingredients', 'to', 'revolutionize', 'the', 'issue', 'of', 'gauge', 'theories', 'and', 'the', 'standard', 'model']] | [-0.029342981862809953, 0.15584264879345622, -0.11417269919691352, 0.07815848718986872, -0.1289861091036657, -0.13630267777779234, 0.04152738691815987, 0.30021065689725884, -0.23464175732379114, -0.2968979955163844, 0.08339410051361683, -0.2618469962628063, -0.15834360760252136, 0.16276445186808022, -0.07716303896329818, 0.024820927154046372, 0.015910162248674337, 0.016746510717368455, -0.03988599409819196, -0.33431978460503825, 0.30931419859973525, 0.10609803522121025, 0.26494892838052175, 0.10775023163296282, 0.08747300358890735, 0.01615354361508144, -0.0804968991876503, -0.037393310496053836, -0.1668955158664409, 0.1428821900680046, 0.20769830759819768, 0.15058475715928463, 0.2988693095880364, -0.4282271338951424, -0.21476225149091505, 0.07951439084878209, 0.08385267735826313, 0.11448605349415554, -0.04460746905480195, -0.2850433153724042, 0.05795466194651303, -0.17639522042569764, -0.12664253934320713, -0.023925464586440234, 0.04023175486982928, -0.048521630801345916, -0.17172712451722816, 0.0031179898384309144, 0.07550183646893556, 0.06699562691357158, -0.008394803485508428, -0.10719807819813626, 0.04000430850636795, 0.09857868467064557, 0.1504164327442253, 0.08991781645027254, 0.10470090938492789, -0.16022044831861254, -0.18872725212339894, 0.38485575585258663, -0.006008929100930007, -0.09923659553623186, 0.21251391762346372, -0.1367362411180084, -0.16005864993609284, 0.05054638204976506, 0.1250964793880735, 0.07776454276482173, -0.14490605565215195, 0.15365629643041623, -0.029493463080410565, 0.08843330560607725, 0.04606755539228063, 0.013635885021692022, 0.2577562009095462, 0.12277301983403709, -0.029790400928997117, 0.07458948035972245, -0.02537460305403337, -0.14825368904158337, -0.31998650812535384, -0.16837982172060997, -0.14014354718896055, 0.048213511869875256, 0.009586914653549133, -0.10736791671621143, 0.43982663572073805, 0.23067965502893434, 0.17240592350311781, -0.0057765979195919335, 0.24363630027894717, 0.05546899232158967, 0.05699578979813041, -0.012481047047746427, 0.2574088076001926, 0.1772933047747564, 0.14751912521010418, -0.1893517814871402, -0.019383968152063086, 0.12733559629990968] |
712.0372 | Functions with support in a lacunary system of intervals and cyclicity
for the semi-group of left translations | We prove in the vector-valued spaces $L^2(\mathbb{R}_+, X)$ (where $X$ is a
finite dimensional Hilbert space) the cyclicity for the semi-group of left
translations of some particular functions with support included in a lacunary
system of intervals.
| math.SP | we prove in the vectorvalued spaces l2mathbbr_ x where x is a finite dimensional hilbert space the cyclicity for the semigroup of left translations of some particular functions with support included in a lacunary system of intervals | [['we', 'prove', 'in', 'the', 'vectorvalued', 'spaces', 'l2mathbbr_', 'x', 'where', 'x', 'is', 'a', 'finite', 'dimensional', 'hilbert', 'space', 'the', 'cyclicity', 'for', 'the', 'semigroup', 'of', 'left', 'translations', 'of', 'some', 'particular', 'functions', 'with', 'support', 'included', 'in', 'a', 'lacunary', 'system', 'of', 'intervals']] | [-0.1780009598697762, 0.12435211334377527, -0.06431380665634533, 0.11148328406144739, -0.03142029257189181, -0.06135584114471803, 0.005343025952980325, 0.3680479207353012, -0.3332153872863666, -0.047883277557588914, 0.15789813360174162, -0.27625354750686, -0.07483278869374378, 0.21188485408453522, -0.10777380730252008, 0.06987811728204424, 0.03283583056936796, 0.12406992984658761, -0.153830873364633, -0.2969038861526831, 0.4280516400530532, -0.09037351960668692, 0.16342874145689043, -0.00011123243618655849, 0.1674629619496094, 0.01355252182740416, -0.012280860148068215, -0.04599768883702848, -0.12161924876272678, 0.12242229582389465, 0.2993565218120411, 0.06474221489593587, 0.3388656095878498, -0.3573768825043698, -0.16778180365626877, 0.2007578506663039, 0.12624703392990538, -0.1082272363725949, -0.02017978929310433, -0.3080991576048168, 0.0710355590122777, -0.12266759222020975, -0.1200095336078792, -0.11362117516329966, 0.0908225735120878, 0.05124244166890512, -0.35199430077714294, 0.036236395002216905, 0.13062419910990708, 0.12166158641008912, -0.11333023296115366, -0.08149587623208661, -0.06108900749854542, 0.0694110216950444, 0.00040385627338813767, 0.08717583775570667, 0.004331227782106883, -0.015983436787792016, -0.09460573953047798, 0.34745170113102003, -0.04921272142028839, -0.3106006332547278, 0.11636800707846477, -0.29980516053635525, -0.18426169666486816, 0.057342014552370923, 0.13337011849806593, 0.15460138022899628, -0.034496599732822666, 0.27471370456387867, -0.1325825807084707, 0.14440771428918517, 0.06543377431965358, 0.07678362853648896, 0.06270804608593115, 0.14439422802722737, 0.10752980778547558, 0.1628489972822167, 0.02393842541386147, -0.00764377526404034, -0.4226690430093456, -0.23389747353723725, -0.13170909492701693, 0.08135969113759897, -0.13215951844294732, -0.23498188432406736, 0.36158244360892755, 0.07219805762744383, 0.2060901223102937, 0.10781765769462327, 0.1506661304549591, 0.11067191471119185, 0.010231207754160906, 0.07786741199575968, 0.03846836028812529, 0.15749520425860947, 0.02430945131424311, -0.08923292095848434, -0.020780998370232614, 0.1939995356810254] |
712.0373 | Velocity, temperature and normal force dependence on friction: An
analytical and molecular dynamic study | In this work we propose an extension to the analytical one-dimensional model
proposed by E. Gnecco (Phys. Rev. Lett. 84:1172) to describe friction. Our
model includes normal forces and the dependence with the angular direction of
movement in which the object is dragged over a surface. The presence of the
normal force in the model allow us to define judiciously the friction
coefficient, instead of introducing it as an {\sl a posteriori} concept. We
compare the analytical results with molecular dynamics simulations. The
simulated model corresponds to a tip sliding over a surface. The tip is
simulated as a single particle interacting with a surface through a
Lennard-Jones $(6-12)$ potential. The surface is considered as consisting of a
regular BCC(001) arrangement of particles interacting with each other through a
Lennard-Jones $(6-12)$ potential. We investigate the system under several
conditions of velocity, temperature and normal forces. Our analytical results
are in very good agreement with those obtained by the simulations and with
experimental results from E. Riedo (Phys. Rev. Lett. 91:084502) and Eui-Sung
Yoon (Wear 259:1424-1431) as well.
| physics.comp-ph physics.class-ph | in this work we propose an extension to the analytical onedimensional model proposed by e gnecco phys rev lett 841172 to describe friction our model includes normal forces and the dependence with the angular direction of movement in which the object is dragged over a surface the presence of the normal force in the model allow us to define judiciously the friction coefficient instead of introducing it as an sl a posteriori concept we compare the analytical results with molecular dynamics simulations the simulated model corresponds to a tip sliding over a surface the tip is simulated as a single particle interacting with a surface through a lennardjones 612 potential the surface is considered as consisting of a regular bcc001 arrangement of particles interacting with each other through a lennardjones 612 potential we investigate the system under several conditions of velocity temperature and normal forces our analytical results are in very good agreement with those obtained by the simulations and with experimental results from e riedo phys rev lett 91084502 and euisung yoon wear 25914241431 as well | [['in', 'this', 'work', 'we', 'propose', 'an', 'extension', 'to', 'the', 'analytical', 'onedimensional', 'model', 'proposed', 'by', 'e', 'gnecco', 'phys', 'rev', 'lett', '841172', 'to', 'describe', 'friction', 'our', 'model', 'includes', 'normal', 'forces', 'and', 'the', 'dependence', 'with', 'the', 'angular', 'direction', 'of', 'movement', 'in', 'which', 'the', 'object', 'is', 'dragged', 'over', 'a', 'surface', 'the', 'presence', 'of', 'the', 'normal', 'force', 'in', 'the', 'model', 'allow', 'us', 'to', 'define', 'judiciously', 'the', 'friction', 'coefficient', 'instead', 'of', 'introducing', 'it', 'as', 'an', 'sl', 'a', 'posteriori', 'concept', 'we', 'compare', 'the', 'analytical', 'results', 'with', 'molecular', 'dynamics', 'simulations', 'the', 'simulated', 'model', 'corresponds', 'to', 'a', 'tip', 'sliding', 'over', 'a', 'surface', 'the', 'tip', 'is', 'simulated', 'as', 'a', 'single', 'particle', 'interacting', 'with', 'a', 'surface', 'through', 'a', 'lennardjones', '612', 'potential', 'the', 'surface', 'is', 'considered', 'as', 'consisting', 'of', 'a', 'regular', 'bcc001', 'arrangement', 'of', 'particles', 'interacting', 'with', 'each', 'other', 'through', 'a', 'lennardjones', '612', 'potential', 'we', 'investigate', 'the', 'system', 'under', 'several', 'conditions', 'of', 'velocity', 'temperature', 'and', 'normal', 'forces', 'our', 'analytical', 'results', 'are', 'in', 'very', 'good', 'agreement', 'with', 'those', 'obtained', 'by', 'the', 'simulations', 'and', 'with', 'experimental', 'results', 'from', 'e', 'riedo', 'phys', 'rev', 'lett', '91084502', 'and', 'euisung', 'yoon', 'wear', '25914241431', 'as', 'well']] | [-0.09320924950393232, 0.09427606598600032, -0.10925444399077468, -0.08023184927640624, -0.044295406893538364, -0.12664468886265368, 0.049467090386570545, 0.3612579904300602, -0.20709451922210076, -0.33565677956225926, -0.010317546182056095, -0.27921704492635196, -0.1731257750679962, 0.22678519879966125, -0.043830464151551764, 0.017795450699499303, 0.0415578928901351, 0.013139386503407133, -0.054179105040350416, -0.21740461891375437, 0.21322632076393006, 0.09863002816717581, 0.2504750776883454, 0.04493023950588884, 0.09051877469347235, 0.04277449437384412, 0.017078614653474843, 0.05189532581281069, -0.20031087279417797, 0.05857960868365409, 0.15167137473680034, -0.008749509589713916, 0.24533678495123634, -0.42929290899767253, -0.2481652318543553, 0.07222191194802174, 0.07195834167388795, 0.1199440652013032, -0.0360900113299184, -0.315440418367541, 0.04188913752036224, -0.20497274581255795, -0.1835265708100105, -0.06660593585288206, 0.04502427443039565, 0.07575202711492951, -0.2850245873754223, 0.13483447549396266, 0.015466845426191058, 0.057716715853519694, -0.0794401269961606, -0.057118313928265455, -0.048911965028682385, 0.054862130625304165, 0.016543578480408466, 0.06291955210573492, 0.16484386456346722, -0.08671800901824663, -0.08456921421960868, 0.39020242682543765, -0.0934251711475091, -0.22706615079156184, 0.28297342584408514, -0.1005885921550485, -0.03341808159732156, 0.11501158247783519, 0.1500070905530749, 0.11550311300541377, -0.1772665021102331, 0.06433244334256048, -0.07938439541255336, 0.13188080116408626, 0.06349128618297216, -0.06647870109634568, 0.21535707863962703, 0.19668962956781974, -0.012773030603642177, 0.16277554366167102, -0.14986353144267497, -0.10710085293125601, -0.31853548962383244, -0.16005649932453203, -0.17999923927573303, 0.03688557361584832, -0.03629702318436602, -0.1475660528664951, 0.37692364917970017, 0.1408602585144646, 0.2571330383714092, 0.03915612207526853, 0.2761945889061807, 0.06672133694195913, 0.022866746597945124, 0.08243493122158964, 0.23215195467172747, 0.14947632263136798, 0.057963039720572575, -0.2454974762550746, 0.0116533266968633, 0.036684823404910444] |
712.0374 | Global regular solutions for the Navier-stokes system with small initial
data in $\Phi(2)$: an elementary approach | We show existence and regularity result for the Navier Stokes system for
small data in the space $\Phi(2)$, and we show relations with some classical
results.
| math.AP | we show existence and regularity result for the navier stokes system for small data in the space phi2 and we show relations with some classical results | [['we', 'show', 'existence', 'and', 'regularity', 'result', 'for', 'the', 'navier', 'stokes', 'system', 'for', 'small', 'data', 'in', 'the', 'space', 'phi2', 'and', 'we', 'show', 'relations', 'with', 'some', 'classical', 'results']] | [-0.15622186839867097, 0.06679292718091837, -0.03061331045598938, 0.0696774016206081, -0.06763208005577326, -0.10609888149282107, -0.02726146365659168, 0.3082451419904828, -0.3018220532685518, -0.28274878828177374, 0.14671126606229407, -0.2957004252463006, -0.19348610582976386, 0.2573021740580981, -0.09169950780387108, 0.10637430595950438, 0.1431617490374125, -0.006652889459823759, -0.050838357339111656, -0.23000318370759487, 0.4034032237071257, -0.12903829821600363, 0.21880192725131145, 0.04577365632240589, 0.07805220704400338, 0.003268780159907272, -0.005229965604555149, 0.04450415406049265, -0.25141572995254624, 0.03959729948725838, 0.164602798051559, 0.11586197531925371, 0.21522734629420134, -0.4078372186766221, -0.20279078980764517, 0.08191272657579528, 0.07251645715083353, 0.11141662299633026, -0.05228116169858437, -0.3085728373665076, 0.1308449340554384, -0.07628806879242453, -0.18191871605813503, -0.14605073505439436, 0.013581938898334136, 0.06753360465742074, -0.3732542099001316, 0.10207112828412881, 0.08595724905339572, 0.06266468476790649, -0.1816850432123129, -0.09459753326910476, -0.008410178841306614, 0.07281839992636098, 0.07684765011072159, -0.04581193350112209, -0.021566248821237914, -0.1674232975436518, -0.008858458031542026, 0.35870019547068155, -0.14395159242065766, -0.27800424497288007, 0.19020168311320818, -0.23628795419174892, -0.1634580297037386, 0.029206415853248194, 0.11017234698654367, 0.07496057192866619, -0.048386732331262186, 0.10944135610211211, -0.12633768282830715, 0.1396981833072809, 0.06503459954491028, 0.04503843274254065, 0.04884912066448193, 0.11781281968936898, 0.12145458828084744, 0.12811855327946922, -0.10746507848111483, -0.06660375065313509, -0.3897258465966353, -0.18825799352131212, -0.15394918344771633, 0.02706339367880271, -0.16305492137661742, -0.11149443026918632, 0.2923800562544224, 0.18033974059597732, 0.20766223408281803, 0.16480681124644783, 0.22019711244278228, 0.14742871115987116, -0.02073741238564253, 0.1317254096054687, 0.2489744084405874, 0.12034266248631936, 0.1733533005015208, -0.21694485986462006, -0.05389943475333544, 0.1243216533285494] |
712.0375 | Hyperbolic Cauchy Integral Formula for the Split Complex Numbers | In our joint papers [FL1-FL2] we revive quaternionic analysis and show deep
relations between quaternionic analysis, representation theory and
four-dimensional physics. As a guiding principle we use representation theory
of various real forms of the conformal group. We demonstrate that the
requirement of unitarity of representations naturally leads us to the
extensions of the Cauchy-Fueter and Poisson formulas to the Minkowski space,
which can be viewed as another real form of quaternions. However, the Minkowski
space formulation also brings some technical difficulties related to the fact
that the singularities of the kernels in these integral formulas are now
concentrated on the light cone instead of just a single point in the initial
quaternionic picture. But the same phenomenon occurs when one passes from the
complex numbers to the split complex numbers (or hyperbolic algebra). So, as a
warm-up example we proved an analogue of the Cauchy integral formula for the
split complex numbers. On the other hand, there seems to be sufficient interest
in such formula among physicists. For example, see [KS] and the references
therein.
| math-ph math.MP | in our joint papers fl1fl2 we revive quaternionic analysis and show deep relations between quaternionic analysis representation theory and fourdimensional physics as a guiding principle we use representation theory of various real forms of the conformal group we demonstrate that the requirement of unitarity of representations naturally leads us to the extensions of the cauchyfueter and poisson formulas to the minkowski space which can be viewed as another real form of quaternions however the minkowski space formulation also brings some technical difficulties related to the fact that the singularities of the kernels in these integral formulas are now concentrated on the light cone instead of just a single point in the initial quaternionic picture but the same phenomenon occurs when one passes from the complex numbers to the split complex numbers or hyperbolic algebra so as a warmup example we proved an analogue of the cauchy integral formula for the split complex numbers on the other hand there seems to be sufficient interest in such formula among physicists for example see ks and the references therein | [['in', 'our', 'joint', 'papers', 'fl1fl2', 'we', 'revive', 'quaternionic', 'analysis', 'and', 'show', 'deep', 'relations', 'between', 'quaternionic', 'analysis', 'representation', 'theory', 'and', 'fourdimensional', 'physics', 'as', 'a', 'guiding', 'principle', 'we', 'use', 'representation', 'theory', 'of', 'various', 'real', 'forms', 'of', 'the', 'conformal', 'group', 'we', 'demonstrate', 'that', 'the', 'requirement', 'of', 'unitarity', 'of', 'representations', 'naturally', 'leads', 'us', 'to', 'the', 'extensions', 'of', 'the', 'cauchyfueter', 'and', 'poisson', 'formulas', 'to', 'the', 'minkowski', 'space', 'which', 'can', 'be', 'viewed', 'as', 'another', 'real', 'form', 'of', 'quaternions', 'however', 'the', 'minkowski', 'space', 'formulation', 'also', 'brings', 'some', 'technical', 'difficulties', 'related', 'to', 'the', 'fact', 'that', 'the', 'singularities', 'of', 'the', 'kernels', 'in', 'these', 'integral', 'formulas', 'are', 'now', 'concentrated', 'on', 'the', 'light', 'cone', 'instead', 'of', 'just', 'a', 'single', 'point', 'in', 'the', 'initial', 'quaternionic', 'picture', 'but', 'the', 'same', 'phenomenon', 'occurs', 'when', 'one', 'passes', 'from', 'the', 'complex', 'numbers', 'to', 'the', 'split', 'complex', 'numbers', 'or', 'hyperbolic', 'algebra', 'so', 'as', 'a', 'warmup', 'example', 'we', 'proved', 'an', 'analogue', 'of', 'the', 'cauchy', 'integral', 'formula', 'for', 'the', 'split', 'complex', 'numbers', 'on', 'the', 'other', 'hand', 'there', 'seems', 'to', 'be', 'sufficient', 'interest', 'in', 'such', 'formula', 'among', 'physicists', 'for', 'example', 'see', 'ks', 'and', 'the', 'references', 'therein']] | [-0.10899285170515734, 0.08083648017283329, -0.13289757157542875, 0.12800128915280637, -0.13931800254753657, -0.11240760541121875, 0.027973083932884037, 0.3188430700517659, -0.2921242330489414, -0.2706825887944017, 0.10887891762756875, -0.2517786757142416, -0.2161387964271541, 0.22622049834978367, -0.07208544064496111, 0.003574765452316829, 0.04379103470460645, 0.08459738980047404, -0.11633304662470306, -0.24009324858497297, 0.3472317058114069, -0.013889423650689424, 0.24552728731983475, 0.04281797087019575, 0.09472745652443597, 0.036950134113430975, -0.04053888236837728, -0.007937758746889553, -0.08604675978729834, 0.13736494454422168, 0.26797343297196285, 0.13162177414500287, 0.2415439381477024, -0.42969162361962454, -0.18634735295815127, 0.1295781297715647, 0.1422248132300696, 0.0783339066597234, -0.023816735960010972, -0.2820171257853508, 0.020315399643565928, -0.12874613154147352, -0.19346953352647167, -0.09018186384545905, 0.012685816349860813, -0.017022419229282864, -0.2112618098567639, 0.0409794542284882, 0.08362238356045314, 0.05395067286810705, -0.07286583011836878, -0.0926560582539865, -0.012473837988051985, 0.10503880062888908, 0.050288485807499714, 0.0018338205798396042, 0.07852496375196746, -0.11140846048614808, -0.10200643461729798, 0.3940975217308317, -0.018789216111680225, -0.23915184354700614, 0.1602371676652027, -0.17488013271308903, -0.1745161269219326, 0.09314821700299425, 0.12154366757188524, 0.11926576768447246, -0.07866693956419891, 0.12373757699105356, -0.0894150761621339, 0.09009275747612784, 0.12102560650889894, 0.02339559263416699, 0.18651240071015698, 0.07595136755146087, 0.0417715617695025, 0.13020107948254528, -0.023725485244233693, -0.14084988767813358, -0.3642550282606057, -0.22216522882426423, -0.15905412587603288, 0.10014564127395195, -0.09681343348397474, -0.17146965184914215, 0.3497354280083839, 0.10616955792489795, 0.20134837856782334, 0.0306146294177909, 0.2572800019077425, 0.13025370856248109, 0.10156184214566435, 0.024169098043016025, 0.18122203347223279, 0.17033112629715885, 0.08956191230432263, -0.1245839488612754, -0.031567732741324496, 0.10967130886656898] |
712.0376 | Analog cosmology with spinor Bose-Einstein condensates | It is well known that both a particle with spin and a quantum field in a
Bianchi type IX Universe are both related to the quantum mechanical top. In
this paper we will combine these insights to show that the dynamics of a cold
gas of noninteracting atoms with total momentum F=1 may be used to explore the
behavior of quantum matter near a cosmological singularity.
| cond-mat.other | it is well known that both a particle with spin and a quantum field in a bianchi type ix universe are both related to the quantum mechanical top in this paper we will combine these insights to show that the dynamics of a cold gas of noninteracting atoms with total momentum f1 may be used to explore the behavior of quantum matter near a cosmological singularity | [['it', 'is', 'well', 'known', 'that', 'both', 'a', 'particle', 'with', 'spin', 'and', 'a', 'quantum', 'field', 'in', 'a', 'bianchi', 'type', 'ix', 'universe', 'are', 'both', 'related', 'to', 'the', 'quantum', 'mechanical', 'top', 'in', 'this', 'paper', 'we', 'will', 'combine', 'these', 'insights', 'to', 'show', 'that', 'the', 'dynamics', 'of', 'a', 'cold', 'gas', 'of', 'noninteracting', 'atoms', 'with', 'total', 'momentum', 'f1', 'may', 'be', 'used', 'to', 'explore', 'the', 'behavior', 'of', 'quantum', 'matter', 'near', 'a', 'cosmological', 'singularity']] | [-0.11161947886152616, 0.1602064698624114, -0.11259031518729347, 0.07214118595319716, -0.06163518616195881, -0.1377668510346363, -0.027439293657979844, 0.33629402315074747, -0.2594006340527399, -0.2702265665443106, 0.05221685864186535, -0.28315041372270294, -0.11040545897346667, 0.1847842592255664, -0.010639061600985851, 0.010804662495061304, 0.010030707922961676, 0.05000533304656997, -0.06397612657482651, -0.27222772349010815, 0.3228558994773211, 0.05020049146806934, 0.21272251587078878, 0.04172173882552394, 0.08354256667591857, -0.06153045572114713, 0.02716537316640218, 0.06570393239345515, -0.14645898482646744, 0.08044444888505634, 0.22304396664328646, 0.0538532946075341, 0.23491130623910011, -0.43018357938324864, -0.21763489750975912, 0.10903026268175436, 0.16052596467885782, 0.1790127748990375, -0.06560001242200308, -0.28468490871741914, 0.04346247131682255, -0.17514685851832232, -0.15221864351946296, -0.08557658377244617, -0.027013773110053135, 0.021380864651732598, -0.21896374307459954, 0.08042807758531788, 0.043432996560692445, -0.0175106032102397, -0.04929366192752213, -0.0513061848892407, 0.012766893730837513, 0.07495195539244874, 0.01022572427014397, 0.032032276651906694, 0.17465272823094644, -0.19020190346804378, -0.1224527961828492, 0.43741554055701604, -0.11061383706912624, -0.17074019024430803, 0.2124907005169062, -0.15942983040021677, -0.10796697181649506, 0.06575670038618034, 0.128847694193775, 0.06206977353290175, -0.15859222025469397, 0.09393549841655785, -0.019591696560382843, 0.16117428186716456, 0.026267171322339862, 0.07205244762096272, 0.31775284726454905, 0.1183834360968886, 0.024227480827407402, 0.12743345488420207, -0.09364158249544827, -0.16041724726727064, -0.3152964212790583, -0.24001937059008263, -0.17479892266970692, 0.12512097612136241, -0.05810446728873737, -0.1715108907894429, 0.38608363626355474, 0.12930970969362976, 0.21589443920829304, -0.02012104585865569, 0.23521147758671732, 0.0700023513230862, 0.007434507013496124, 0.08027814988357325, 0.2703289392996918, 0.13604703721957226, 0.10814810815182599, -0.27939932438488485, -0.03791517459709818, -0.004026670382837906] |
712.0377 | Crystallization of the Kob-Andersen binary Lennard-Jones liquid | At density 1.2 the Kob-Andersen binary Lennard-Jones liquid partly
crystallizes in the temperature interval [0.39, 0.44] after typically 10-100
microseconds (Argon units). The crystallization is initiated by a phase
separation where the large (A) particles cluster in a volume void of B
particles. We investigate a modification of the Kob-Andersen system where the
attraction between particles of the same type is removed, thus disfavoring
phase separation. We have not been able to crystallize this new system.
| cond-mat.soft | at density 12 the kobandersen binary lennardjones liquid partly crystallizes in the temperature interval 039 044 after typically 10100 microseconds argon units the crystallization is initiated by a phase separation where the large a particles cluster in a volume void of b particles we investigate a modification of the kobandersen system where the attraction between particles of the same type is removed thus disfavoring phase separation we have not been able to crystallize this new system | [['at', 'density', '12', 'the', 'kobandersen', 'binary', 'lennardjones', 'liquid', 'partly', 'crystallizes', 'in', 'the', 'temperature', 'interval', '039', '044', 'after', 'typically', '10100', 'microseconds', 'argon', 'units', 'the', 'crystallization', 'is', 'initiated', 'by', 'a', 'phase', 'separation', 'where', 'the', 'large', 'a', 'particles', 'cluster', 'in', 'a', 'volume', 'void', 'of', 'b', 'particles', 'we', 'investigate', 'a', 'modification', 'of', 'the', 'kobandersen', 'system', 'where', 'the', 'attraction', 'between', 'particles', 'of', 'the', 'same', 'type', 'is', 'removed', 'thus', 'disfavoring', 'phase', 'separation', 'we', 'have', 'not', 'been', 'able', 'to', 'crystallize', 'this', 'new', 'system']] | [-0.10451314905903449, 0.26845784591952043, -0.09213064809170503, 0.01363404200712562, 0.027457037977384108, -0.11954370311363355, 0.08322660360289247, 0.3244267287296488, -0.24385573023832158, -0.3149976626920857, 0.06213379954906965, -0.28922280218256147, -0.039476675300025625, 0.06646525212808659, 0.02404131242809327, 0.0012701876510522868, 0.016100738857762496, -0.004578023922237519, -0.12028378583981018, -0.24729410250132022, 0.21994564180433945, 0.03876171984072579, 0.19556630520444168, 0.037932813486182375, 0.105637410144003, -0.012833321197448592, 0.07411555831296075, 0.02372685471843732, -0.18142275404381125, -0.03087979850150939, 0.19692444225381078, -0.0007093628703028356, 0.23814587635723383, -0.399588117584292, -0.22889705406697958, 0.13529254426861084, 0.1428511640620663, 0.08006332423783054, -0.07074689248723812, -0.2560614334422433, 0.06461339985559646, -0.21001133435148453, -0.1269341920759823, 0.021012340378212303, 0.05439220537970725, 0.02317882555890767, -0.22739008553846934, 0.17081116738508603, 0.04779642363887673, 0.047770931269042194, -0.0769471330752008, -0.10770758756897474, 0.02067355146803158, 0.0400306067282432, -0.008930219037115182, 0.08098031526529476, 0.2045423583813796, -0.07435913941222488, -0.00017492936335896192, 0.4321550739144808, -0.04900490702436257, -0.11944725450226351, 0.24760312223071723, -0.18104007183329054, -0.1372205690345972, 0.23755756298410952, 0.16273367162303706, 0.0946198601251174, -0.18169810777334006, 0.06454039550092268, -0.0029278754725390555, 0.2807181817969601, 0.09534167894162238, -0.07419600120537277, 0.26345416439059927, 0.25172461470049856, 0.004504897401937724, 0.16165508536275747, -0.15653468753015132, -0.09262745317966237, -0.21885857279721677, -0.17672646343462953, -0.22098338371142745, 0.005487437485786167, -0.10609606333616141, -0.1456651998328437, 0.32164928603819326, 0.058333625912813374, 0.20996278748651476, 0.006131172560057358, 0.19468714882264307, 0.013551037011079882, 0.08401044612937288, 0.03166458022008699, 0.26869309025718585, 0.11900560880435239, 0.1279781047456996, -0.22769069167981415, 0.05675306831682591, 0.060506151492805464] |
712.0378 | Discovery of an extended debris disk around the F2V star HD 15745 | Using the Advanced Camera for Surveys aboard the Hubble Space Telescope, we
have discovered dust-scattered light from the debris disk surrounding the F2V
star HD 15745. The circumstellar disk is detected between 2.0" and 7.5" radius,
corresponding to 128 - 480 AU radius. The circumstellar disk morphology is
asymmetric about the star, resembling a fan, and consistent with forward
scattering grains in an optically thin disk with an inclination of ~67 degrees
to our line of sight. The spectral energy distribution and scattered light
morphology can be approximated with a model disk composed of silicate grains
between 60 and 450 AU radius, with a total dust mass of 10E-7 M_sun (0.03
M_earth) representing a narrow grain size distribution (1 - 10 micron).
Galactic space motions are similar to the Castor Moving Group with an age of
~10E+8 yr, although future work is required to determine the age of HD 15745
using other indicators.
| astro-ph | using the advanced camera for surveys aboard the hubble space telescope we have discovered dustscattered light from the debris disk surrounding the f2v star hd 15745 the circumstellar disk is detected between 20 and 75 radius corresponding to 128 480 au radius the circumstellar disk morphology is asymmetric about the star resembling a fan and consistent with forward scattering grains in an optically thin disk with an inclination of 67 degrees to our line of sight the spectral energy distribution and scattered light morphology can be approximated with a model disk composed of silicate grains between 60 and 450 au radius with a total dust mass of 10e7 m_sun 003 m_earth representing a narrow grain size distribution 1 10 micron galactic space motions are similar to the castor moving group with an age of 10e8 yr although future work is required to determine the age of hd 15745 using other indicators | [['using', 'the', 'advanced', 'camera', 'for', 'surveys', 'aboard', 'the', 'hubble', 'space', 'telescope', 'we', 'have', 'discovered', 'dustscattered', 'light', 'from', 'the', 'debris', 'disk', 'surrounding', 'the', 'f2v', 'star', 'hd', '15745', 'the', 'circumstellar', 'disk', 'is', 'detected', 'between', '20', 'and', '75', 'radius', 'corresponding', 'to', '128', '480', 'au', 'radius', 'the', 'circumstellar', 'disk', 'morphology', 'is', 'asymmetric', 'about', 'the', 'star', 'resembling', 'a', 'fan', 'and', 'consistent', 'with', 'forward', 'scattering', 'grains', 'in', 'an', 'optically', 'thin', 'disk', 'with', 'an', 'inclination', 'of', '67', 'degrees', 'to', 'our', 'line', 'of', 'sight', 'the', 'spectral', 'energy', 'distribution', 'and', 'scattered', 'light', 'morphology', 'can', 'be', 'approximated', 'with', 'a', 'model', 'disk', 'composed', 'of', 'silicate', 'grains', 'between', '60', 'and', '450', 'au', 'radius', 'with', 'a', 'total', 'dust', 'mass', 'of', '10e7', 'm_sun', '003', 'm_earth', 'representing', 'a', 'narrow', 'grain', 'size', 'distribution', '1', '10', 'micron', 'galactic', 'space', 'motions', 'are', 'similar', 'to', 'the', 'castor', 'moving', 'group', 'with', 'an', 'age', 'of', '10e8', 'yr', 'although', 'future', 'work', 'is', 'required', 'to', 'determine', 'the', 'age', 'of', 'hd', '15745', 'using', 'other', 'indicators']] | [-0.055844020179704135, 0.1313588326540424, -0.054551455745436, 0.004803030414119263, -0.1087263389865574, -0.06628579995126133, 0.005733551036202405, 0.45314638966681975, -0.19572473251129557, -0.39072629619677296, 0.05396480933175541, -0.2979152238108968, 0.037230280459227175, 0.15613536089002436, -0.06254836713626431, -0.02662379596297998, 0.060350175724619134, -0.11334269590857095, -0.04253332768473149, -0.21327267442954917, 0.25499892717808637, 0.10689808684244952, 0.07154564019730127, -0.021966601819606284, 0.0501732406950237, -0.10531413968146197, -0.039437298369187634, -0.06614684034490508, -0.18572804438643276, 0.06149699478785214, 0.1783543950690569, 0.09332644472823746, 0.15707549104629548, -0.3507146861610447, -0.19969994043181308, 0.03187484779213899, 0.1807844929831515, -0.056022082031985755, -0.006349337259119989, -0.28696992650046793, 0.08111088381081683, -0.18902556267223203, -0.24414832893158966, 0.15929068310261274, 0.11281392426111254, -0.008860446312683542, -0.23055871839880407, 0.10828767725010247, 0.0037860930428508946, 0.14680621282966344, -0.15295621898062778, -0.13198741712926218, -0.09761322777477661, 0.036467793299941556, -0.012450903348605954, 0.11623103766633361, 0.24105572650809115, -0.07343859418376922, 0.01812301549026055, 0.4001441489930121, -0.12178839963779553, -0.016924462324920918, 0.2171282667054126, -0.2235767525775458, -0.05810559630681504, 0.23227034344169117, 0.1612821757799677, 0.14345664046892284, -0.14938942641769878, -0.006378549626159588, -0.058352484287312816, 0.28915927879162284, 0.11176311546599105, 0.06582389060945419, 0.3762371136725649, 0.14154626160153758, 0.005553486539775993, 0.09335651302721114, -0.340129745567855, -0.07161689597813276, -0.19467327800023077, -0.12569408403278248, -0.13190986256696433, 0.0951727702088604, -0.20536562369084735, -0.0943513700735424, 0.27205698905612696, 0.08119343545744133, 0.2610701685896356, 0.03177045596819746, 0.28891981353095714, 0.018902486194106408, 0.13414960116110491, 0.1749442015093245, 0.30335154755380095, 0.19439778544458766, 0.10128867393369308, -0.2053656812160332, 0.0651013552236227, -0.0397733261077446] |
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