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710.5753 | Integrability and reduction of Poisson group actions | In this paper we study Poisson actions of complete Poisson groups, without
any connectivity assumption or requiring the existence of a momentum map. For
any complete Poisson group $G$ with dual $G^\star$ we obtain a suitably
connected integrating symplectic double groupoid $\calS$. As a consequence, the
cotangent lift of a Poisson action on an integrable Poisson manifold $P$ can be
integrated to a Poisson action of the symplectic groupoid
$\poidd{\calS}{G^\star}$ on the symplectic groupoid for $P$. Finally, we show
that the quotient Poisson manifold $P/G$ is also integrable, giving an explicit
construction of a symplectic groupoid for it, by a reduction procedure on an
associated morphism of double Lie groupoids.
| math.SG math.DG | in this paper we study poisson actions of complete poisson groups without any connectivity assumption or requiring the existence of a momentum map for any complete poisson group g with dual gstar we obtain a suitably connected integrating symplectic double groupoid cals as a consequence the cotangent lift of a poisson action on an integrable poisson manifold p can be integrated to a poisson action of the symplectic groupoid poiddcalsgstar on the symplectic groupoid for p finally we show that the quotient poisson manifold pg is also integrable giving an explicit construction of a symplectic groupoid for it by a reduction procedure on an associated morphism of double lie groupoids | [['in', 'this', 'paper', 'we', 'study', 'poisson', 'actions', 'of', 'complete', 'poisson', 'groups', 'without', 'any', 'connectivity', 'assumption', 'or', 'requiring', 'the', 'existence', 'of', 'a', 'momentum', 'map', 'for', 'any', 'complete', 'poisson', 'group', 'g', 'with', 'dual', 'gstar', 'we', 'obtain', 'a', 'suitably', 'connected', 'integrating', 'symplectic', 'double', 'groupoid', 'cals', 'as', 'a', 'consequence', 'the', 'cotangent', 'lift', 'of', 'a', 'poisson', 'action', 'on', 'an', 'integrable', 'poisson', 'manifold', 'p', 'can', 'be', 'integrated', 'to', 'a', 'poisson', 'action', 'of', 'the', 'symplectic', 'groupoid', 'poiddcalsgstar', 'on', 'the', 'symplectic', 'groupoid', 'for', 'p', 'finally', 'we', 'show', 'that', 'the', 'quotient', 'poisson', 'manifold', 'pg', 'is', 'also', 'integrable', 'giving', 'an', 'explicit', 'construction', 'of', 'a', 'symplectic', 'groupoid', 'for', 'it', 'by', 'a', 'reduction', 'procedure', 'on', 'an', 'associated', 'morphism', 'of', 'double', 'lie', 'groupoids']] | [-0.185203007576184, 0.034894432124244944, -0.11789518320471595, 0.07063990534889862, -0.1696203846672396, -0.10590442930083346, 0.0242911722402114, 0.39306573075917334, -0.3592506590888861, -0.2038610541868374, 0.061210883395754895, -0.20498620479051535, -0.18735730014271487, 0.1921973987332964, -0.19146390561945736, -0.06043012383812611, 0.11194225896679617, 0.15834931983108366, -0.16443568646027748, -0.2184059480482866, 0.47055560059059376, 0.051305066409666054, 0.22069875510631626, -0.026598569937050343, 0.19730836141922878, 0.0182045170430675, -0.017871558025410964, -0.01200140189003507, -0.1120388054595582, 0.06152494527707133, 0.27816937264020836, -0.02095290700212941, 0.18953634867307925, -0.3616910198310373, -0.1420278475946136, 0.18792900745329713, 0.11046878555191493, -0.0058599044483394255, -0.009118153445567902, -0.3247536964748704, 0.10532349950864638, -0.19485944942005168, -0.16935793166860527, -0.09139999723352424, 0.030266484228569434, -0.01798142790324439, -0.23198238021155837, -0.04646290088774115, 0.15650721547971352, 0.09327613382061961, -0.07652346694568565, -0.04093916731279924, -0.09199979219055913, 0.05577457015864004, -0.08770988862149827, 0.08123626182851203, 0.15858847053653194, -0.02557313515497115, -0.15413115241077788, 0.3846451643162296, -0.0616018534792852, -0.3194515083771233, 0.08186846710912404, -0.09387062697184331, -0.24033316081270165, 0.16725112368788467, 0.07801970128619343, 0.11222039985923318, -0.08476062171126998, 0.2024985235355316, -0.11320739066860544, 0.010111783708044149, 0.07868315447805398, -0.05849333489826376, 0.13026962087515298, 0.16241066354976266, 0.16430123256297285, 0.0769651995345933, -0.006547022045380649, -0.05431775016488012, -0.3811641424347501, -0.2220480694126342, -0.09734705094794888, 0.25191649863786925, -0.1445705355914019, -0.1986383717750635, 0.35309540160820574, 0.022884233094273357, 0.21800378724556724, 0.14484354576796565, 0.22059063748413815, 0.14359613005210722, 0.02593832157996543, 0.04795327956506282, 0.05233992945825801, 0.2433588038766842, -0.06500500772541407, -0.1422462613287664, -0.10738391324946094, 0.19546956996595777] |
710.5754 | Fine structures in the optical absorption spectra of photochemical
silver in silver halides? A call for further research | A survey is presented of the work done so far to check earlier claims that a
fine structure may be observed to occur under certain circumstances in the
impurity spectral range of the optical absorption spectra of silver halides
following photostimulation in the intrinsic range. This structure, associated
with the photochemical formation of silver specks, has been questioned over the
years. We now weigh carefully the experimental evidence on the silver halides
against a background of similar data on the alkali halides, where competing
processes run slower. We come to the conclusion that present day advances in
experimental techniques may be quite adequate for providing a solid
experimental basis to solve the problem unambiguously.
| physics.chem-ph | a survey is presented of the work done so far to check earlier claims that a fine structure may be observed to occur under certain circumstances in the impurity spectral range of the optical absorption spectra of silver halides following photostimulation in the intrinsic range this structure associated with the photochemical formation of silver specks has been questioned over the years we now weigh carefully the experimental evidence on the silver halides against a background of similar data on the alkali halides where competing processes run slower we come to the conclusion that present day advances in experimental techniques may be quite adequate for providing a solid experimental basis to solve the problem unambiguously | [['a', 'survey', 'is', 'presented', 'of', 'the', 'work', 'done', 'so', 'far', 'to', 'check', 'earlier', 'claims', 'that', 'a', 'fine', 'structure', 'may', 'be', 'observed', 'to', 'occur', 'under', 'certain', 'circumstances', 'in', 'the', 'impurity', 'spectral', 'range', 'of', 'the', 'optical', 'absorption', 'spectra', 'of', 'silver', 'halides', 'following', 'photostimulation', 'in', 'the', 'intrinsic', 'range', 'this', 'structure', 'associated', 'with', 'the', 'photochemical', 'formation', 'of', 'silver', 'specks', 'has', 'been', 'questioned', 'over', 'the', 'years', 'we', 'now', 'weigh', 'carefully', 'the', 'experimental', 'evidence', 'on', 'the', 'silver', 'halides', 'against', 'a', 'background', 'of', 'similar', 'data', 'on', 'the', 'alkali', 'halides', 'where', 'competing', 'processes', 'run', 'slower', 'we', 'come', 'to', 'the', 'conclusion', 'that', 'present', 'day', 'advances', 'in', 'experimental', 'techniques', 'may', 'be', 'quite', 'adequate', 'for', 'providing', 'a', 'solid', 'experimental', 'basis', 'to', 'solve', 'the', 'problem', 'unambiguously']] | [-0.057186878786173144, 0.10050024050737225, -0.08755506908423022, 0.05447475771877196, -0.0603096923921584, -0.11441930089341967, 0.07288288833826714, 0.453588852332088, -0.22257433376242325, -0.30445555492974163, 0.08825284266423662, -0.27733939634472654, -0.093873344508833, 0.2016825149195236, -0.030103313115735848, 0.044625839741345034, 0.08153096119374886, -0.02910885179676769, -0.045348412281415666, -0.26000858730995996, 0.25728097250031534, 0.0964128155702431, 0.27130468742791236, 0.08450213309710339, 0.010945407913695498, -0.05396513434192329, -0.006071737761151765, 0.021294919008045997, -0.14036191973220985, 0.11092262983775551, 0.2733461918194958, 0.0859377645180773, 0.22564985518948288, -0.4625590797677113, -0.2602999530030055, 0.0922988826948169, 0.1329433580108902, 0.13101307166282805, -0.09115431909531094, -0.256563052196023, 0.07511397911104978, -0.14504836956365852, -0.14957773106238037, -0.043649455613105376, 0.025935519662309895, -0.019361743719823528, -0.2207097536516621, 0.029187612627681932, 0.04313945548870323, 0.08871820639296059, -0.09075132570752319, -0.14328297272144833, 0.00806921818538716, 0.07514167470824823, 0.06242185188743302, -0.0016954204173791304, 0.13786162415176237, -0.07852487294861164, -0.1047493427947956, 0.39883306483623754, -0.0662628583152566, -0.08091883316203102, 0.22032216112251932, -0.14639761727793435, -0.1547084815898224, 0.15495323237101138, 0.1296734181484856, 0.11034526316622137, -0.13663416089624852, 0.047449061381548904, -0.06643565761828142, 0.18019681930819756, 0.08227163354719155, 0.04435026937311417, 0.20122501012264637, 0.18089115720144228, -0.015093373265444186, 0.0921495379941342, -0.07775236295766949, -0.06709916649484321, -0.21795214527989165, -0.12028600359866559, -0.1595111640145708, 0.07095090179753147, -0.00033547766833451754, -0.1533642260055466, 0.37718017210799937, 0.16160926797933745, 0.20084763322589233, -0.04814704648359973, 0.24393143414993557, 0.05925682163388844, 0.09316317734498482, -0.03393868115738753, 0.29565308698587806, 0.10611784389574926, 0.1018408954018684, -0.2187798858993981, 0.11708594161379886, -0.02224875717799653] |
710.5755 | On axiomatic aspects of N=2 vertex superalgebras with odd formal
variables, and deformations of N=1 vertex superalgebras | The notion of "N = 2 vertex superalgebra with two odd formal variables" is
presented, the main axiom being a Jacobi identity with odd formal variables in
which an N=2 superconformal shift is incorporated into the usual Jacobi
identity for a vertex superalgebra. It is shown that as a consequence of these
axioms, the N=2 vertex superalgebra is naturally a representation of the Lie
algebra isomorphic to the three-dimensional algebra of superderivations with
basis consisting of the usual conformal operator and the two N=2 superconformal
operators. The notion of N=2 Neveu-Schwarz vertex operator superalgebra with
two odd formal variables is introduced, and consequences of this notion are
derived. Various other formulations of the notion of N=2 (Neveu-Schwarz) vertex
(operator) superalgebra appearing in the mathematics and physics literature are
discussed, and several mistakes in the literature are noted and corrected. The
notion of ``N=2 (Neveu-Schwarz) vertex (operator) superalgebra with one odd
formal variable" is formulated. It is shown that this formulation naturally
arises from alternate notions of N=1 superconformality and the continuous
deformation of an N=1 (Neveu-Schwarz) vertex (operator) superalgebra with one
odd formal variable. This notion is formulated to reflect the underlying N=1
superanalytic geometry, and it is shown that the equivalence of the notions of
N=2 (Neveu-Schwarz) vertex (operator) superalgebra with one and with two odd
formal variables reflects the equivalence of N=2 superconformal and N=1
superanalytic geometry. In particular we prove that the group of formal N=2
superconformal functions vanishing at zero and invertible in a neighborhood of
zero is isomorphic to a certain subgroup of N=1 superanalytic functions
vanishing at zero and invertible in a neighborhood of zero.
| math.QA hep-th math-ph math.MP | the notion of n 2 vertex superalgebra with two odd formal variables is presented the main axiom being a jacobi identity with odd formal variables in which an n2 superconformal shift is incorporated into the usual jacobi identity for a vertex superalgebra it is shown that as a consequence of these axioms the n2 vertex superalgebra is naturally a representation of the lie algebra isomorphic to the threedimensional algebra of superderivations with basis consisting of the usual conformal operator and the two n2 superconformal operators the notion of n2 neveuschwarz vertex operator superalgebra with two odd formal variables is introduced and consequences of this notion are derived various other formulations of the notion of n2 neveuschwarz vertex operator superalgebra appearing in the mathematics and physics literature are discussed and several mistakes in the literature are noted and corrected the notion of n2 neveuschwarz vertex operator superalgebra with one odd formal variable is formulated it is shown that this formulation naturally arises from alternate notions of n1 superconformality and the continuous deformation of an n1 neveuschwarz vertex operator superalgebra with one odd formal variable this notion is formulated to reflect the underlying n1 superanalytic geometry and it is shown that the equivalence of the notions of n2 neveuschwarz vertex operator superalgebra with one and with two odd formal variables reflects the equivalence of n2 superconformal and n1 superanalytic geometry in particular we prove that the group of formal n2 superconformal functions vanishing at zero and invertible in a neighborhood of zero is isomorphic to a certain subgroup of n1 superanalytic functions vanishing at zero and invertible in a neighborhood of zero | [['the', 'notion', 'of', 'n', '2', 'vertex', 'superalgebra', 'with', 'two', 'odd', 'formal', 'variables', 'is', 'presented', 'the', 'main', 'axiom', 'being', 'a', 'jacobi', 'identity', 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710.5756 | Signals of the QGP phase transition - a view from microscopic transport
models | In this contribution the results from various transport models on different
observables - considered as possible signals of the phase transition from
hadronic matter to the quark-gluon plasma (QGP) - are briefly reviewed.
| nucl-th | in this contribution the results from various transport models on different observables considered as possible signals of the phase transition from hadronic matter to the quarkgluon plasma qgp are briefly reviewed | [['in', 'this', 'contribution', 'the', 'results', 'from', 'various', 'transport', 'models', 'on', 'different', 'observables', 'considered', 'as', 'possible', 'signals', 'of', 'the', 'phase', 'transition', 'from', 'hadronic', 'matter', 'to', 'the', 'quarkgluon', 'plasma', 'qgp', 'are', 'briefly', 'reviewed']] | [-0.042499153972453164, 0.30168836661464266, -0.13111531028463955, 0.10149710525893757, -0.015360896926253073, -0.05396952774495848, -0.04114093961975267, 0.34273221704267687, -0.25289807318439406, -0.23701977639669372, 0.04837528914738927, -0.3338406034294636, -0.05643680391292418, 0.14320261512071855, 0.07306709591179125, 0.10102872706709369, 0.028682947969965397, 0.03332404347677385, -0.08326126446322192, -0.15916471904323948, 0.37092401279557136, 0.05577028822153807, 0.2571951889342839, 0.14925530847282178, 0.02508132409064039, -0.07487170769262218, -0.09452451266829044, 0.0018740744900799567, -0.16273978544960566, -0.03866685748160366, 0.2794075611911408, 0.08792968998633084, 0.06748013594938863, -0.4582790429553678, -0.2671768003774266, 0.051152584766368234, 0.10150893446388504, 0.14718323714670636, -0.06918822047525956, -0.2934319811963266, -0.00554303306665632, -0.21680235613377824, -0.06705136080422709, -0.049118101596832275, -0.04491304317789693, 0.01336887460802832, -0.21123452706923407, 0.10822283311356459, -0.028028834370836135, -0.05762167223879407, -0.035437608239120774, -0.23449412060360755, -0.011787071722679801, 0.0874322033337047, 0.1333709461314063, 0.06585950892598878, 0.20626296157077437, -0.23812089647887455, -0.1428923840003629, 0.4676080697005795, -0.045078348368406296, -0.11417980293833441, 0.255864406995956, -0.1680642189157586, -0.1616017860060017, 0.13805806391962594, 0.22549327075361245, 0.0911950612020108, -0.22154238856127184, 0.003410461899493971, 0.017342959981291525, 0.062237101156384714, 0.003074957283153649, 0.11679998617018422, 0.29340077107471807, 0.20278552979711564, -0.10037721116696635, 0.14584429571855692, -0.018020305144149932, -0.08821905037996569, -0.4196448294622373, -0.03680464703469507, -0.15913524803134702, -0.006545473551077228, -0.07659412415758256, -0.1299516359163869, 0.4241060071414517, 0.22290228529562872, 0.2005965996293291, -0.09925045565732064, 0.32420545998179623, 0.04621480984590767, -0.06425259191723119, 0.04279870086259419, 0.3284955335360381, 0.21422325525312655, 0.20755582069978118, -0.26152636198657414, 0.038765338474824544, 0.07089015366809984] |
710.5757 | Remanence of Ni nanowire arrays: Influence of size and labyrinth
magnetic structure | The influence of the macroscopic size of the Ni nanowire array system on
their remanence state has been investigated. A simple magnetic phenomenological
model has been developed to obtain the remanence as a function of the
magnetostatic interactions in the array. We observe that, due to the long range
of the dipolar interactions between the wires, the size of the sample strongly
influence the remanence of the array. On the other hand, the magnetic state of
nanowires has been studied by variable field magnetic force microscopy for
different remanent states. The distribution of nanowires with the magnetization
in up or down directions and the subsequent remanent magnetization has been
deduced from the magnetic images. The existence of two short-range magnetic
orderings with similar energies can explain the typical labyrinth pattern
observed in magnetic force microscopy images of the nanowire arrays.
| cond-mat.mtrl-sci | the influence of the macroscopic size of the ni nanowire array system on their remanence state has been investigated a simple magnetic phenomenological model has been developed to obtain the remanence as a function of the magnetostatic interactions in the array we observe that due to the long range of the dipolar interactions between the wires the size of the sample strongly influence the remanence of the array on the other hand the magnetic state of nanowires has been studied by variable field magnetic force microscopy for different remanent states the distribution of nanowires with the magnetization in up or down directions and the subsequent remanent magnetization has been deduced from the magnetic images the existence of two shortrange magnetic orderings with similar energies can explain the typical labyrinth pattern observed in magnetic force microscopy images of the nanowire arrays | [['the', 'influence', 'of', 'the', 'macroscopic', 'size', 'of', 'the', 'ni', 'nanowire', 'array', 'system', 'on', 'their', 'remanence', 'state', 'has', 'been', 'investigated', 'a', 'simple', 'magnetic', 'phenomenological', 'model', 'has', 'been', 'developed', 'to', 'obtain', 'the', 'remanence', 'as', 'a', 'function', 'of', 'the', 'magnetostatic', 'interactions', 'in', 'the', 'array', 'we', 'observe', 'that', 'due', 'to', 'the', 'long', 'range', 'of', 'the', 'dipolar', 'interactions', 'between', 'the', 'wires', 'the', 'size', 'of', 'the', 'sample', 'strongly', 'influence', 'the', 'remanence', 'of', 'the', 'array', 'on', 'the', 'other', 'hand', 'the', 'magnetic', 'state', 'of', 'nanowires', 'has', 'been', 'studied', 'by', 'variable', 'field', 'magnetic', 'force', 'microscopy', 'for', 'different', 'remanent', 'states', 'the', 'distribution', 'of', 'nanowires', 'with', 'the', 'magnetization', 'in', 'up', 'or', 'down', 'directions', 'and', 'the', 'subsequent', 'remanent', 'magnetization', 'has', 'been', 'deduced', 'from', 'the', 'magnetic', 'images', 'the', 'existence', 'of', 'two', 'shortrange', 'magnetic', 'orderings', 'with', 'similar', 'energies', 'can', 'explain', 'the', 'typical', 'labyrinth', 'pattern', 'observed', 'in', 'magnetic', 'force', 'microscopy', 'images', 'of', 'the', 'nanowire', 'arrays']] | [-0.16913733502982983, 0.1824983725523842, -0.05096557371601063, 0.026456887215109807, -0.03307500930469749, -0.09021542228625289, -0.009498433084185567, 0.4217307632389877, -0.24948679565651607, -0.3706725784976568, 0.049216661865856236, -0.2798261879743742, -0.05085512942002554, 0.18836607899450297, 0.08413711538139199, 0.043302620198561015, -0.01308009414933622, 0.030492798117588142, -0.050313502688160434, -0.2038107730448246, 0.2694353457041351, 0.027832492055105313, 0.3370220043663202, 0.08751206892609065, 0.08454487155457692, -0.005987448586217527, 0.10254349926752704, 0.0841057594832299, -0.11893117347525341, 0.021262912616449674, 0.14602678692899645, -0.05071341032827539, 0.19900953796293055, -0.5139233345978157, -0.21507521544949018, 0.05646735467681927, 0.13916088432140117, 0.13298854385835251, -0.04878371840708756, -0.3067964708731909, 0.05883872103212135, -0.086524159880355, -0.12142904810607433, -0.06131419356845851, 0.030400927576868395, 0.07143000756456916, -0.22413548059495433, 0.05602146004759041, 0.0803404245209614, 0.11098953044441129, -0.0950344365422747, -0.12102720766976875, -0.04082841298409871, 0.10225790112246094, 0.10543938817905395, 0.0731617298609178, 0.1677096309173586, -0.13227353205854472, -0.12528336052117603, 0.29838051182617037, -0.034516153610145144, -0.10448675819206983, 0.17928306689219817, -0.2200079574544881, -0.05399893321695604, 0.1594566026369908, 0.15168463198933752, 0.10090784189690437, -0.15646650698701187, 0.09434633421769831, -0.03196565275346594, 0.188958945444652, 0.0676455863751471, 0.04341617204315428, 0.24808916940486858, 0.2087919172731095, 0.018725098430046012, 0.190259916098356, -0.20525158043019473, -0.039891084523073266, -0.16857514402696064, -0.1391061790686633, -0.22340629660923567, 0.06121985249420894, -0.08397303131797733, -0.1998328123873632, 0.4118447980577392, 0.14164880809839814, 0.18016464955373002, -0.051532988355029376, 0.2587714961497113, 0.06963447406804854, 0.13009238522998723, -0.030536379623559436, 0.29420383061681477, 0.22357705407443323, 0.151191275187635, -0.30286703499732537, 0.10256079493389864, -0.018734731432050466] |
710.5758 | Grassmannian Beamforming for MIMO Amplify-and-Forward Relaying | In this paper, we derive the optimal transmitter/ receiver beamforming
vectors and relay weighting matrix for the multiple-input multiple-output
amplify-and-forward relay channel. The analysis is accomplished in two steps.
In the first step, the direct link between the transmitter (Tx) and receiver
(Rx) is ignored and we show that the transmitter and the relay should map their
signals to the strongest right singular vectors of the Tx-relay and relay-Rx
channels. Based on the distributions of these vectors for independent
identically distributed (i.i.d.) Rayleigh channels, the Grassmannian codebooks
are used for quantizing and sending back the channel information to the
transmitter and the relay. The simulation results show that even a few number
of bits can considerably increase the link reliability in terms of bit error
rate. For the second step, the direct link is considered in the problem model
and we derive the optimization problem that identifies the optimal Tx
beamforming vector. For the i.i.d Rayleigh channels, we show that the solution
to this problem is uniformly distributed on the unit sphere and we justify the
appropriateness of the Grassmannian codebook (for determining the optimal
beamforming vector), both analytically and by simulation. Finally, a modified
quantizing scheme is presented which introduces a negligible degradation in the
system performance but significantly reduces the required number of feedback
bits.
| cs.IT math.IT | in this paper we derive the optimal transmitter receiver beamforming vectors and relay weighting matrix for the multipleinput multipleoutput amplifyandforward relay channel the analysis is accomplished in two steps in the first step the direct link between the transmitter tx and receiver rx is ignored and we show that the transmitter and the relay should map their signals to the strongest right singular vectors of the txrelay and relayrx channels based on the distributions of these vectors for independent identically distributed iid rayleigh channels the grassmannian codebooks are used for quantizing and sending back the channel information to the transmitter and the relay the simulation results show that even a few number of bits can considerably increase the link reliability in terms of bit error rate for the second step the direct link is considered in the problem model and we derive the optimization problem that identifies the optimal tx beamforming vector for the iid rayleigh channels we show that the solution to this problem is uniformly distributed on the unit sphere and we justify the appropriateness of the grassmannian codebook for determining the optimal beamforming vector both analytically and by simulation finally a modified quantizing scheme is presented which introduces a negligible degradation in the system performance but significantly reduces the required number of feedback bits | [['in', 'this', 'paper', 'we', 'derive', 'the', 'optimal', 'transmitter', 'receiver', 'beamforming', 'vectors', 'and', 'relay', 'weighting', 'matrix', 'for', 'the', 'multipleinput', 'multipleoutput', 'amplifyandforward', 'relay', 'channel', 'the', 'analysis', 'is', 'accomplished', 'in', 'two', 'steps', 'in', 'the', 'first', 'step', 'the', 'direct', 'link', 'between', 'the', 'transmitter', 'tx', 'and', 'receiver', 'rx', 'is', 'ignored', 'and', 'we', 'show', 'that', 'the', 'transmitter', 'and', 'the', 'relay', 'should', 'map', 'their', 'signals', 'to', 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710.5759 | CN Bimodality at Low Metallicity: The Globular Cluster M53 | We present low resolution UV-blue spectroscopic observations of red giant
stars in the globular cluster M53 ([Fe/H]=-1.84), obtained to study primordial
abundance variations and deep mixing via the CN and CH absorption bands. The
metallicity of M53 makes it an attractive target: a bimodal distribution of
3883 angstrom CN bandstrength is common in moderate- and high-metallicity
globular clusters ([Fe/H] > -1.6) but unusual in those of lower metallicity
([Fe/H] < -2.0). We find that M53 is an intermediate case, and has a broad but
not strongly bimodal distribution of CN bandstrength, with CN and CH
bandstrengths anticorrelated in the less-evolved stars. Like many other
globular clusters, M53 also exhibits a general decline in CH bandstrength and
[C/Fe] abundance with rising luminosity on the red giant branch.
| astro-ph | we present low resolution uvblue spectroscopic observations of red giant stars in the globular cluster m53 feh184 obtained to study primordial abundance variations and deep mixing via the cn and ch absorption bands the metallicity of m53 makes it an attractive target a bimodal distribution of 3883 angstrom cn bandstrength is common in moderate and highmetallicity globular clusters feh 16 but unusual in those of lower metallicity feh 20 we find that m53 is an intermediate case and has a broad but not strongly bimodal distribution of cn bandstrength with cn and ch bandstrengths anticorrelated in the lessevolved stars like many other globular clusters m53 also exhibits a general decline in ch bandstrength and cfe abundance with rising luminosity on the red giant branch | [['we', 'present', 'low', 'resolution', 'uvblue', 'spectroscopic', 'observations', 'of', 'red', 'giant', 'stars', 'in', 'the', 'globular', 'cluster', 'm53', 'feh184', 'obtained', 'to', 'study', 'primordial', 'abundance', 'variations', 'and', 'deep', 'mixing', 'via', 'the', 'cn', 'and', 'ch', 'absorption', 'bands', 'the', 'metallicity', 'of', 'm53', 'makes', 'it', 'an', 'attractive', 'target', 'a', 'bimodal', 'distribution', 'of', '3883', 'angstrom', 'cn', 'bandstrength', 'is', 'common', 'in', 'moderate', 'and', 'highmetallicity', 'globular', 'clusters', 'feh', '16', 'but', 'unusual', 'in', 'those', 'of', 'lower', 'metallicity', 'feh', '20', 'we', 'find', 'that', 'm53', 'is', 'an', 'intermediate', 'case', 'and', 'has', 'a', 'broad', 'but', 'not', 'strongly', 'bimodal', 'distribution', 'of', 'cn', 'bandstrength', 'with', 'cn', 'and', 'ch', 'bandstrengths', 'anticorrelated', 'in', 'the', 'lessevolved', 'stars', 'like', 'many', 'other', 'globular', 'clusters', 'm53', 'also', 'exhibits', 'a', 'general', 'decline', 'in', 'ch', 'bandstrength', 'and', 'cfe', 'abundance', 'with', 'rising', 'luminosity', 'on', 'the', 'red', 'giant', 'branch']] | [-0.04672543515216529, 0.12355026533771345, -0.053408388267990534, 0.08791952117013072, -0.060405023789745035, -0.10026341635446118, 0.07403521720372988, 0.5056226238366065, -0.1198820994870654, -0.3446169236932344, -0.03695318705640824, -0.3077692710226629, -0.044035106897354126, 0.12013034553577502, -0.09906333756852682, -0.0984291964403649, 0.1028980942503587, -0.06777381071086397, -0.004935482719428535, -0.25565070250806043, 0.24418988984411324, -0.008717703809289686, 0.17164556286865618, -0.05753418782392774, -0.04470379328037181, -0.16060059553966288, -0.01099286787069925, -0.03701599368568116, -0.14859843172486237, 0.06598968613926866, 0.23028460993030206, 0.1431641238173697, 0.17599799685043896, -0.2553386483909335, -0.1872494639753084, 0.06456610555874139, 0.2927956278246593, 0.00420021211607306, -0.10300872700262391, -0.2281197409649054, 0.022279397849508418, -0.1414128433263717, -0.23808871495075584, 0.10663933084228992, 0.11426425178542854, 0.07023740623986757, -0.21544272203861578, 0.19125930927064444, 0.02501709881140207, 0.1722232326978772, -0.1202662981160712, -0.22632248182421383, -0.11591631567817394, 0.031591112941230945, -0.026440625453776703, 0.06208249427779479, 0.11645603918175144, -0.10218859811093871, 0.09008530722419936, 0.40026895826061565, -0.194219909750334, 0.08291397230298357, 0.2898192511704879, -0.21228062341792311, -0.2868111530731515, 0.09862668827418389, 0.08431866819917308, 0.14521750553919957, -0.16274417259889404, 0.02697250503801544, -0.008844405601967156, 0.2413600547640486, 0.09171954738695508, 0.0773064685191361, 0.2630522126649938, 0.10481123762144669, 0.06209937933353495, 0.045671423643967514, -0.25529708121751804, -0.033594085062604126, -0.13704409703945483, -0.1303745572137215, -0.06999216546168233, 0.07771762468243051, -0.19813619358621243, -0.20233842362536164, 0.27219250158414365, 0.015287815101020704, 0.26545551417933066, 0.0353949396545446, 0.23591878489265597, 0.13501040529974592, 0.1268671972135733, 0.09322339894128888, 0.2681166202897524, 0.2439808163061223, 0.08696433471334053, -0.2714036064661615, 0.115381091265235, -0.06703528204395216] |
710.576 | Discovery of Griffiths phase in itinerant magnetic semiconductor
Fe_{1-x}Co_xS_2 | Critical points that can be suppressed to zero temperature are interesting
because quantum fluctuations have been shown to dramatically alter electron gas
properties. Here, the metal formed by Co doping the paramagnetic insulator
FeS$_2$, Fe$_{1-x}$Co$_x$S$_2$, is demonstrated to order ferromagnetically at
$x>x_c=0.01\pm0.005$ where we observe unusual transport, magnetic, and
thermodynamic properties. We show that this magnetic semiconductor undergoes a
percolative magnetic transition with distinct similarities to the Griffiths
phase, including singular behavior at $x_c$ and zero temperature.
| cond-mat.mtrl-sci cond-mat.str-el | critical points that can be suppressed to zero temperature are interesting because quantum fluctuations have been shown to dramatically alter electron gas properties here the metal formed by co doping the paramagnetic insulator fes_2 fe_1xco_xs_2 is demonstrated to order ferromagnetically at xx_c001pm0005 where we observe unusual transport magnetic and thermodynamic properties we show that this magnetic semiconductor undergoes a percolative magnetic transition with distinct similarities to the griffiths phase including singular behavior at x_c and zero temperature | [['critical', 'points', 'that', 'can', 'be', 'suppressed', 'to', 'zero', 'temperature', 'are', 'interesting', 'because', 'quantum', 'fluctuations', 'have', 'been', 'shown', 'to', 'dramatically', 'alter', 'electron', 'gas', 'properties', 'here', 'the', 'metal', 'formed', 'by', 'co', 'doping', 'the', 'paramagnetic', 'insulator', 'fes_2', 'fe_1xco_xs_2', 'is', 'demonstrated', 'to', 'order', 'ferromagnetically', 'at', 'xx_c001pm0005', 'where', 'we', 'observe', 'unusual', 'transport', 'magnetic', 'and', 'thermodynamic', 'properties', 'we', 'show', 'that', 'this', 'magnetic', 'semiconductor', 'undergoes', 'a', 'percolative', 'magnetic', 'transition', 'with', 'distinct', 'similarities', 'to', 'the', 'griffiths', 'phase', 'including', 'singular', 'behavior', 'at', 'x_c', 'and', 'zero', 'temperature']] | [-0.1582312946820942, 0.2908257150401672, -0.053585124897460146, 0.02078244068970283, -0.02230451541021466, -0.1847493157722056, 0.08517464111248652, 0.39860850808521114, -0.27145268335317574, -0.2613965601970752, -0.005006891470402479, -0.38163810000910114, -0.14757000222802164, 0.12615894136329492, 0.05583658139531811, -0.006734933964908123, -0.09568592629084985, -0.015656042508780957, -0.17110353793948888, -0.2190190216169382, 0.2988691716392835, -0.011091912756673991, 0.3140898585009078, 0.12936317035307487, 0.019069570936262607, -0.10725518919420816, 0.2011549545203646, 0.09810225972905755, -0.18898112505150494, -0.08157235919187467, 0.2816029787311951, -0.14298928776445488, 0.1762668222251038, -0.4190977548311154, -0.231523778612415, 0.054029174270108345, 0.17968170439824463, 0.12302455708384513, -0.07735619357166192, -0.2820169764260451, 0.08635960014536977, -0.0938162149488926, -0.1692049001591901, -0.1511097195620338, -0.019125737193971874, -0.0035604976893713076, -0.2414493204280734, 0.10528639352569978, 0.08000343909487129, 0.09301481456806263, -0.04050292941431204, -0.10206355806440115, -0.11052926781276862, 0.059415379744023084, 0.07373883302944402, 0.06278425366307298, 0.23830568635215363, -0.06553551846339056, -0.06566950558374325, 0.3225389644162108, -0.04941381624123702, -0.007189916943510373, 0.2257478869271775, -0.2707907799258828, -0.10521535456801455, 0.22158583374073107, 0.09563876885455101, 0.05194331588223577, -0.10588410013665756, 0.07349077382280181, 0.05025750444581111, 0.15401961391791702, 0.026371652524297438, 0.09995618674904108, 0.3169495049243172, 0.16354211995999018, 0.006539739236856501, 0.15510075999889522, -0.10529617522532742, -0.09949005555361509, -0.1489573593934377, -0.16886392302811146, -0.22751382966836295, 0.1259960715100169, -0.05884973999074039, -0.230126078328661, 0.3444977482035756, 0.21929174803818266, 0.2223399853458007, -0.11063142157470186, 0.2290888823630909, 0.15464103647818167, 0.042039698312679924, 0.0616595953827103, 0.2644818766787648, 0.18281260262243448, 0.1483431648090482, -0.31200322054947416, 0.1041393565479666, 0.027381516794363656] |
710.5761 | On exotic modular tensor categories | It has been conjectured that every $(2+1)$-TQFT is a Chern-Simons-Witten
(CSW) theory labelled by a pair $(G,\lambda)$, where $G$ is a compact Lie
group, and $\lambda \in H^4(BG;Z)$ a cohomology class. We study two TQFTs
constructed from Jones' subfactor theory which are believed to be
counterexamples to this conjecture: one is the quantum double of the even
sectors of the $E_6$ subfactor, and the other is the quantum double of the even
sectors of the Haagerup subfactor. We cannot prove mathematically that the two
TQFTs are indeed counterexamples because CSW TQFTs, while physically defined,
are not yet mathematically constructed for every pair $(G,\lambda)$. The cases
that are constructed mathematically include:
1. $G$ is a finite group--the Dijkgraaf-Witten TQFTs;
2. $G$ is torus $T^n$;
3. $G$ is a connected semi-simple Lie group--the Reshetikhin-Turaev TQFTs.
We prove that the two TQFTs are not among those mathematically constructed
TQFTs or their direct products. Both TQFTs are of the Turaev-Viro type: quantum
doubles of spherical tensor categories. We further prove that neither TQFT is a
quantum double of a braided fusion category, and give evidence that neither is
an orbifold or coset of TQFTs above. Moreover, representation of the braid
groups from the half $E_6$ TQFT can be used to build universal topological
quantum computers, and the same is expected for the Haagerup case.
| math.GT math.CT math.QA | it has been conjectured that every 21tqft is a chernsimonswitten csw theory labelled by a pair glambda where g is a compact lie group and lambda in h4bgz a cohomology class we study two tqfts constructed from jones subfactor theory which are believed to be counterexamples to this conjecture one is the quantum double of the even sectors of the e_6 subfactor and the other is the quantum double of the even sectors of the haagerup subfactor we cannot prove mathematically that the two tqfts are indeed counterexamples because csw tqfts while physically defined are not yet mathematically constructed for every pair glambda the cases that are constructed mathematically include 1 g is a finite groupthe dijkgraafwitten tqfts 2 g is torus tn 3 g is a connected semisimple lie groupthe reshetikhinturaev tqfts we prove that the two tqfts are not among those mathematically constructed tqfts or their direct products both tqfts are of the turaevviro type quantum doubles of spherical tensor categories we further prove that neither tqft is a quantum double of a braided fusion category and give evidence that neither is an orbifold or coset of tqfts above moreover representation of the braid groups from the half e_6 tqft can be used to build universal topological quantum computers and the same is expected for the haagerup case | [['it', 'has', 'been', 'conjectured', 'that', 'every', '21tqft', 'is', 'a', 'chernsimonswitten', 'csw', 'theory', 'labelled', 'by', 'a', 'pair', 'glambda', 'where', 'g', 'is', 'a', 'compact', 'lie', 'group', 'and', 'lambda', 'in', 'h4bgz', 'a', 'cohomology', 'class', 'we', 'study', 'two', 'tqfts', 'constructed', 'from', 'jones', 'subfactor', 'theory', 'which', 'are', 'believed', 'to', 'be', 'counterexamples', 'to', 'this', 'conjecture', 'one', 'is', 'the', 'quantum', 'double', 'of', 'the', 'even', 'sectors', 'of', 'the', 'e_6', 'subfactor', 'and', 'the', 'other', 'is', 'the', 'quantum', 'double', 'of', 'the', 'even', 'sectors', 'of', 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710.5762 | Gluon self-interaction in the position space in Landau gauge | We propose a method to treat the three-gluon self-interaction vertex in the
position space in D = 4 - 2e dimensions. As an example, we calculate a two-loop
contribution to auxiliary Lcc vertex in the Landau gauge which contains the
three-gluon vertex for SU(N) Yang-Mills theory. We represent the integral
expression as a sum of separate contributions so that each of the contributions
is a double finite integral or single integral (singular or finite) in the
position space. In each double finite integral we use the freedom to shift
exponents in powers in the denominator of integrands by some multiples of e, in
order to perform at least one of the integrations by the uniqueness technique
without corrupting the first term of the decomposition in e.
| hep-th | we propose a method to treat the threegluon selfinteraction vertex in the position space in d 4 2e dimensions as an example we calculate a twoloop contribution to auxiliary lcc vertex in the landau gauge which contains the threegluon vertex for sun yangmills theory we represent the integral expression as a sum of separate contributions so that each of the contributions is a double finite integral or single integral singular or finite in the position space in each double finite integral we use the freedom to shift exponents in powers in the denominator of integrands by some multiples of e in order to perform at least one of the integrations by the uniqueness technique without corrupting the first term of the decomposition in e | [['we', 'propose', 'a', 'method', 'to', 'treat', 'the', 'threegluon', 'selfinteraction', 'vertex', 'in', 'the', 'position', 'space', 'in', 'd', '4', '2e', 'dimensions', 'as', 'an', 'example', 'we', 'calculate', 'a', 'twoloop', 'contribution', 'to', 'auxiliary', 'lcc', 'vertex', 'in', 'the', 'landau', 'gauge', 'which', 'contains', 'the', 'threegluon', 'vertex', 'for', 'sun', 'yangmills', 'theory', 'we', 'represent', 'the', 'integral', 'expression', 'as', 'a', 'sum', 'of', 'separate', 'contributions', 'so', 'that', 'each', 'of', 'the', 'contributions', 'is', 'a', 'double', 'finite', 'integral', 'or', 'single', 'integral', 'singular', 'or', 'finite', 'in', 'the', 'position', 'space', 'in', 'each', 'double', 'finite', 'integral', 'we', 'use', 'the', 'freedom', 'to', 'shift', 'exponents', 'in', 'powers', 'in', 'the', 'denominator', 'of', 'integrands', 'by', 'some', 'multiples', 'of', 'e', 'in', 'order', 'to', 'perform', 'at', 'least', 'one', 'of', 'the', 'integrations', 'by', 'the', 'uniqueness', 'technique', 'without', 'corrupting', 'the', 'first', 'term', 'of', 'the', 'decomposition', 'in', 'e']] | [-0.1464629988599148, 0.12229187624970725, -0.09031912562450968, 0.07047615146955415, -0.08085208990040325, -0.09409272876538095, 0.04233640701709045, 0.3203734912235485, -0.2567883437657128, -0.2389208797906195, 0.046385199668058645, -0.3174740094916835, -0.1464203272893604, 0.10738414929120711, -0.017506481809241158, -0.006735500849543079, 0.03171162527324932, 0.11264410506813757, -0.07344024439695321, -0.2635141633349591, 0.32160492359675585, -0.03960663522593677, 0.15649450080931157, 0.04893282287183308, 0.12769228439297406, 0.08418017299470282, -0.056322385031249256, -0.019251363818071812, -0.11478985439932712, 0.09712967205597388, 0.2401596544927264, 0.04009635482854661, 0.26904661057426804, -0.3843345656285002, -0.1561195862990233, 0.08632614757985838, 0.15340991299449197, 0.0887056571504687, 0.03470121043163442, -0.2063644479945182, 0.0549203074394515, -0.19320617884307378, -0.1857413403331227, -0.06239078676087722, 0.030346644080934987, -0.04702646135082168, -0.2800912854201611, 0.03878622557667474, 0.005748311838796062, 0.008171899274231927, -0.0440890156164495, -0.15772187764448445, -0.016684384072094313, 0.12753521929675293, 0.01787286154708014, 0.07896856031466966, 0.057131985360155665, -0.1752188306460495, -0.17057157989080635, 0.3556724272221477, -0.11477296545279152, -0.26589422250887557, 0.09911252312444811, -0.2092950587393716, -0.14839192931239883, 0.1740828681166374, 0.1199409204813081, 0.13955529417979695, -0.1494837119919999, 0.1564263564632124, -0.0012285393590460562, 0.09880751364999601, 0.09987142551389913, 0.030549536530499258, 0.14548182812699628, 0.07779916215898289, 0.09836062767464036, 0.16935841209300223, -0.09373392061435527, -0.06566932666746358, -0.4182408945184321, -0.13348841552074336, -0.17640826382463978, 0.06828780021826406, -0.10807822134360791, -0.1981606632395978, 0.38053496356212324, 0.09660557272464727, 0.1976146053226154, 0.0203797502805584, 0.29444418375139997, 0.1632130785817994, 0.11644002904875143, 0.041680187366211846, 0.17721710874508473, 0.1443375494338632, 0.042296577094783704, -0.25498208394199007, -0.032717719704153075, 0.19834583917174547] |
710.5763 | A Study of Excited Charm-Strange Baryons with Evidence for new Baryons
\Xi_c(3055)^+ and \Xi_c(3123)^+ | We present a study of excited charm-strange baryon states produced in
$e^+e^-$ annihilations at or near a center-of-mass energy of
$10.58\mathrm{Ge\kern -0.1em V}$, in a data sample with an integrated
luminosity of $384 fb^{-1}$ recorded with the BABAR detector at the PEP-II
$e^+e^-$ storage rings at the Stanford Linear Accelerator Center. We study
strong decays of charm-strange baryons to $\Lambda_c^+K^0_{\scriptscriptstyle
S}$, $\Lambda_c^+K^-$, $\Lambda_c^+K^-\pi^+$,
$\Lambda_c^+K^0_{\scriptscriptstyle S}\pi^-$,
$\Lambda_c^+K^0_{\scriptscriptstyle S}\pi^-\pi^+$, and
$\Lambda_c^+K^-\pi^+\pi^-$. This study confirms the existence of the states
$\Xi_c(2980)^+$, $\Xi_c(3077)^+$, and $\Xi_c(3077)^0$, with a more accurate
determination of the $\Xi_c(2980)^+$ mass and width. We also present evidence
for two new states, $\Xi_c(3055)^+$ and $\Xi_c(3123)^+$, decaying through the
intermediate resonant modes $\Sigma_c(2455)^{++}K^-$ and
$\Sigma_c(2520)^{++}K^-$, respectively. For each of these baryons, we measure
the yield in each final state, determine the statistical significance, and
calculate the product of the production cross-section and branching fractions.
We also measure the masses and widths of these excited charm-strange baryons.
| hep-ex | we present a study of excited charmstrange baryon states produced in ee annihilations at or near a centerofmass energy of 1058mathrmgekern 01em v in a data sample with an integrated luminosity of 384 fb1 recorded with the babar detector at the pepii ee storage rings at the stanford linear accelerator center we study strong decays of charmstrange baryons to lambda_ck0_scriptscriptstyle s lambda_ck lambda_ckpi lambda_ck0_scriptscriptstyle spi lambda_ck0_scriptscriptstyle spipi and lambda_ckpipi this study confirms the existence of the states xi_c2980 xi_c3077 and xi_c30770 with a more accurate determination of the xi_c2980 mass and width we also present evidence for two new states xi_c3055 and xi_c3123 decaying through the intermediate resonant modes sigma_c2455k and sigma_c2520k respectively for each of these baryons we measure the yield in each final state determine the statistical significance and calculate the product of the production crosssection and branching fractions we also measure the masses and widths of these excited charmstrange baryons | [['we', 'present', 'a', 'study', 'of', 'excited', 'charmstrange', 'baryon', 'states', 'produced', 'in', 'ee', 'annihilations', 'at', 'or', 'near', 'a', 'centerofmass', 'energy', 'of', '1058mathrmgekern', '01em', 'v', 'in', 'a', 'data', 'sample', 'with', 'an', 'integrated', 'luminosity', 'of', '384', 'fb1', 'recorded', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'ee', 'storage', 'rings', 'at', 'the', 'stanford', 'linear', 'accelerator', 'center', 'we', 'study', 'strong', 'decays', 'of', 'charmstrange', 'baryons', 'to', 'lambda_ck0_scriptscriptstyle', 's', 'lambda_ck', 'lambda_ckpi', 'lambda_ck0_scriptscriptstyle', 'spi', 'lambda_ck0_scriptscriptstyle', 'spipi', 'and', 'lambda_ckpipi', 'this', 'study', 'confirms', 'the', 'existence', 'of', 'the', 'states', 'xi_c2980', 'xi_c3077', 'and', 'xi_c30770', 'with', 'a', 'more', 'accurate', 'determination', 'of', 'the', 'xi_c2980', 'mass', 'and', 'width', 'we', 'also', 'present', 'evidence', 'for', 'two', 'new', 'states', 'xi_c3055', 'and', 'xi_c3123', 'decaying', 'through', 'the', 'intermediate', 'resonant', 'modes', 'sigma_c2455k', 'and', 'sigma_c2520k', 'respectively', 'for', 'each', 'of', 'these', 'baryons', 'we', 'measure', 'the', 'yield', 'in', 'each', 'final', 'state', 'determine', 'the', 'statistical', 'significance', 'and', 'calculate', 'the', 'product', 'of', 'the', 'production', 'crosssection', 'and', 'branching', 'fractions', 'we', 'also', 'measure', 'the', 'masses', 'and', 'widths', 'of', 'these', 'excited', 'charmstrange', 'baryons']] | [-0.08424367604114909, 0.172486400792656, -0.06874713273970662, 0.1016754370876525, 0.014624784840487189, -0.1039444427918391, 0.06631893663103944, 0.31976486750244404, -0.1662686578488934, -0.2695494398122301, -0.010269516647157789, -0.3975821809239081, 0.09547829642306661, 0.13061155944966674, 0.11960923085240899, 0.07816725669938417, 0.12103156197967159, 0.021482964411277224, -0.03255732328555471, -0.1685098160067699, 0.2701111958374748, 0.05184051541082964, 0.22087731262247354, 0.109130201272893, 0.042796532822477105, -0.004417906218362544, -0.024908125077648013, -0.07992632203496287, -0.1635713713507898, 0.085465493746105, 0.22165306738099536, 0.12954582532905545, 0.15381227431007083, -0.3304445811582637, -0.01224756964822174, 0.17691921192296856, 0.16061070956277182, 0.07373614075461503, -0.05594615985506066, -0.3784534048503013, 0.11558315522868086, -0.19600384748805114, -0.1197762918356504, -0.03957658076684016, 0.06942572115292785, -0.029941962835240504, -0.28266878452504407, 0.11889548810486796, -0.07045890653240054, 0.053948602482607286, -0.08827421253993856, -0.22990083483022614, -0.08573469572945976, -0.016576377484582464, 0.012495983045900593, 0.02079860319625712, 0.15122145082726068, -0.11154695014261666, -0.16301690094877738, 0.3210890758884882, -0.08468256210373412, -0.08114380836235108, 0.16202963582818974, -0.2027336658683379, -0.14108626700377697, 0.1295459415949252, 0.26328034629743247, 0.05842684307159239, -0.1578877496570852, 0.05166263625063505, -0.03040063421468477, 0.16618631902855593, 0.09700279689796672, 0.10470949685534563, 0.20561136908174768, 0.17234548705832944, -0.03765049642203627, 0.09990720855814682, -0.13131752288019335, 0.00219893322099705, -0.3583191985766265, -0.15968720834280248, -0.07228067872189992, 0.06016668022493832, 0.01450690600118046, -0.07700225505568842, 0.393213296016502, 0.0400006825116548, 0.31174863663476865, 0.021292387584941713, 0.265030586349501, 0.10072339880846541, 0.032928914365018845, 0.11912295959317251, 0.2968158989238578, 0.19011506126765665, 0.10723909523614959, -0.30729471018374266, -0.018973379790770344, -0.01366186109560265] |
710.5764 | Nonequilibrium dynamics of polymer translocation: a mean-field model | We analyse the dynamics of polymer translocation in the strong force regime
by recasting the problem into solving a differential equation with a moving
absorbing boundary. For the total translocation time, $\tau_{\rm tr}$, our
simple mean-field model predicts that $\tau_{\rm tr}\sim$ (number of
monomers)$^{1.5}$, which is in agreement with the exponent found in previous
simulation results. Our model also predicts intricate dependencies of
$\tau_{\rm tr}$ on the variations of the pulling force and of the temperature.
| cond-mat.soft cond-mat.mtrl-sci | we analyse the dynamics of polymer translocation in the strong force regime by recasting the problem into solving a differential equation with a moving absorbing boundary for the total translocation time tau_rm tr our simple meanfield model predicts that tau_rm trsim number of monomers15 which is in agreement with the exponent found in previous simulation results our model also predicts intricate dependencies of tau_rm tr on the variations of the pulling force and of the temperature | [['we', 'analyse', 'the', 'dynamics', 'of', 'polymer', 'translocation', 'in', 'the', 'strong', 'force', 'regime', 'by', 'recasting', 'the', 'problem', 'into', 'solving', 'a', 'differential', 'equation', 'with', 'a', 'moving', 'absorbing', 'boundary', 'for', 'the', 'total', 'translocation', 'time', 'tau_rm', 'tr', 'our', 'simple', 'meanfield', 'model', 'predicts', 'that', 'tau_rm', 'trsim', 'number', 'of', 'monomers15', 'which', 'is', 'in', 'agreement', 'with', 'the', 'exponent', 'found', 'in', 'previous', 'simulation', 'results', 'our', 'model', 'also', 'predicts', 'intricate', 'dependencies', 'of', 'tau_rm', 'tr', 'on', 'the', 'variations', 'of', 'the', 'pulling', 'force', 'and', 'of', 'the', 'temperature']] | [-0.14692573098314776, 0.15288782700569042, -0.09717403148376458, 0.03242661883406391, 0.0032381103838152077, -0.13125311154117053, 0.035906461197678374, 0.3346570284810622, -0.27050127124262824, -0.3234740130829851, 0.02208483243531019, -0.2589710847776685, -0.14316098306428743, 0.19539453788358416, 0.026728983590933116, 0.03698681848677429, 0.025713143599647527, 0.00706633078909756, -0.011319880131506236, -0.16604944819118828, 0.2473080104871376, 0.05222297238337027, 0.2444020939135068, 0.07371979574295315, 0.10172424362217253, 0.00503295156601313, -0.007036928874062928, 0.08843812691299496, -0.20620224589996772, 0.02496575248723447, 0.13678240165668162, 0.020059953940830922, 0.22932035180211469, -0.4597459191053703, -0.2479604579181083, 0.03510181530303246, 0.17523949381870194, 0.09236972366705083, -0.021089798125841126, -0.2748280500590399, -0.00754889556382959, -0.10744312261797588, -0.09233074387963358, -0.0009145217544927791, 0.08934590216675722, 0.04522597361859437, -0.29101198302531567, 0.18343001971221087, 0.020739330155019824, 0.04446008130656304, -0.0868832259910886, -0.04853943774375964, -0.0098553221590968, 0.08325150235858117, 0.07792457778988457, 0.05312282667570823, 0.1780417006135591, -0.15286354635011506, -0.05095964745693916, 0.36387084338914705, -0.1026613802170834, -0.16179348342120647, 0.16843409103819648, -0.1627582719587293, -0.12478179388327172, 0.142051600863704, 0.11191503969146996, 0.10328574972604779, -0.10966025976262786, 0.08658923071453574, -0.06167164466161331, 0.22536849399172776, 0.023485690065835778, -0.055077961716125244, 0.1311531872110995, 0.23478607458339348, 0.03228401581479891, 0.123331099500049, -0.09879885768404582, -0.18655317977725253, -0.2975200533715857, -0.142112758816094, -0.1449158966188898, 0.031465324510291624, -0.12971595002041747, -0.12041352495450426, 0.3664230503506858, 0.17358222805164955, 0.2208782173944889, 0.15398727032840503, 0.29160170121168766, 0.16782571092512258, 0.04312745402441234, 0.072156260664751, 0.2244209263700287, 0.1271496918839025, 0.12428014124491932, -0.34548305584797384, 0.07522356937752685, 0.06765912673939523] |
710.5765 | Halo Gas Cross Sections And Covering Fractions of MgII Absorption
Selected Galaxies | We examine halo gas cross sections and covering fractions, f_c, of
intermediate redshift MgII absorption selected galaxies. We computed
statistical absorber halo radii, R_x, using current values of dN/dz and
Schechter luminosity function parameters, and have compared these values to the
distribution of impact parameters and luminosities from a sample of 37
galaxies. For equivalent widths W_r(2796) > 0.3 Ang, we find 43 < R_x < 88 kpc,
depending on the lower luminosity cutoff and the slope, beta, of the
Holmberg-like luminosity scaling, R \propto L^beta. The observed distribution
of impact parameters, D, are such that several absorbing galaxies lie at D >
R_x and several non-absorbing galaxies lie at D < R_x. We deduced f_c must be
less than unity and obtain a mean of <f_c> ~ 0.5 for our sample. Moreover, the
data suggest halo radii of MgII absorbing galaxies do not follow a luminosity
scaling with beta in the range of 0.2-0.28, if f_c= 1 as previously reported.
However, provided f_c~0.5, we find that halo radii can remain consistent with a
Holmberg-like luminosity relation with beta ~ 0.2 and R* = R_x/sqrt(f_c)= 110
kpc. No luminosity scaling (beta=0) is also consistent with the observed
distribution of impact parameters if f_c < 0.37. The data support a scenario in
which gaseous halos are patchy and likely have non-symmetric geometric
distributions about the galaxies. We suggest halo gas distributions may not be
govern primarily by galaxy mass/luminosity but also by stochastic processes
local to the galaxy.
| astro-ph | we examine halo gas cross sections and covering fractions f_c of intermediate redshift mgii absorption selected galaxies we computed statistical absorber halo radii r_x using current values of dndz and schechter luminosity function parameters and have compared these values to the distribution of impact parameters and luminosities from a sample of 37 galaxies for equivalent widths w_r2796 03 ang we find 43 r_x 88 kpc depending on the lower luminosity cutoff and the slope beta of the holmberglike luminosity scaling r propto lbeta the observed distribution of impact parameters d are such that several absorbing galaxies lie at d r_x and several nonabsorbing galaxies lie at d r_x we deduced f_c must be less than unity and obtain a mean of f_c 05 for our sample moreover the data suggest halo radii of mgii absorbing galaxies do not follow a luminosity scaling with beta in the range of 02028 if f_c 1 as previously reported however provided f_c05 we find that halo radii can remain consistent with a holmberglike luminosity relation with beta 02 and r r_xsqrtf_c 110 kpc no luminosity scaling beta0 is also consistent with the observed distribution of impact parameters if f_c 037 the data support a scenario in which gaseous halos are patchy and likely have nonsymmetric geometric distributions about the galaxies we suggest halo gas distributions may not be govern primarily by galaxy massluminosity but also by stochastic processes local to the galaxy | [['we', 'examine', 'halo', 'gas', 'cross', 'sections', 'and', 'covering', 'fractions', 'f_c', 'of', 'intermediate', 'redshift', 'mgii', 'absorption', 'selected', 'galaxies', 'we', 'computed', 'statistical', 'absorber', 'halo', 'radii', 'r_x', 'using', 'current', 'values', 'of', 'dndz', 'and', 'schechter', 'luminosity', 'function', 'parameters', 'and', 'have', 'compared', 'these', 'values', 'to', 'the', 'distribution', 'of', 'impact', 'parameters', 'and', 'luminosities', 'from', 'a', 'sample', 'of', '37', 'galaxies', 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710.5766 | Dispersion and energy spectrum of spin excitations in an underdoped
La_1.90Sr_0.10CuO_4 | We performed inelastic neutron experiments on underdoped
La_2-xSr_xCuO_4(x=0.10, T_c=28.6K) using a time-of-flight neutron scattering
technique. Four incommensurate peaks on the two-dimensional reciprocal plane
disperse inwards toward an antiferromagnetic zone center as the energy
increases. These peaks merge into a single peak at an energy E_cross around
w=40+-3meV. Beyond E_cross, the peak starts to broaden and ``hourglass-like''
excitations are observed. The E_cross in the underdoped sample is smaller than
that reported for the optimally doped La_1.84Sr_0.16CuO_4. The reduction of the
E_cross is explained by the doping-independent slope of the downward dispersion
below the E_cross combined with the smaller incommensurability in the
underdoped sample. In the energy spectrum of chi"(w), we observed a similar
"peak-dip-hump" structure in the energy region of 10~45meV to that reported for
the optimally doped sample. We discuss the relation between the
hourglass-shaped dispersion and the peak-dip-hump energy spectrum.
| cond-mat.supr-con cond-mat.str-el | we performed inelastic neutron experiments on underdoped la_2xsr_xcuo_4x010 t_c286k using a timeofflight neutron scattering technique four incommensurate peaks on the twodimensional reciprocal plane disperse inwards toward an antiferromagnetic zone center as the energy increases these peaks merge into a single peak at an energy e_cross around w403mev beyond e_cross the peak starts to broaden and hourglasslike excitations are observed the e_cross in the underdoped sample is smaller than that reported for the optimally doped la_184sr_016cuo_4 the reduction of the e_cross is explained by the dopingindependent slope of the downward dispersion below the e_cross combined with the smaller incommensurability in the underdoped sample in the energy spectrum of chiw we observed a similar peakdiphump structure in the energy region of 1045mev to that reported for the optimally doped sample we discuss the relation between the hourglassshaped dispersion and the peakdiphump energy spectrum | [['we', 'performed', 'inelastic', 'neutron', 'experiments', 'on', 'underdoped', 'la_2xsr_xcuo_4x010', 't_c286k', 'using', 'a', 'timeofflight', 'neutron', 'scattering', 'technique', 'four', 'incommensurate', 'peaks', 'on', 'the', 'twodimensional', 'reciprocal', 'plane', 'disperse', 'inwards', 'toward', 'an', 'antiferromagnetic', 'zone', 'center', 'as', 'the', 'energy', 'increases', 'these', 'peaks', 'merge', 'into', 'a', 'single', 'peak', 'at', 'an', 'energy', 'e_cross', 'around', 'w403mev', 'beyond', 'e_cross', 'the', 'peak', 'starts', 'to', 'broaden', 'and', 'hourglasslike', 'excitations', 'are', 'observed', 'the', 'e_cross', 'in', 'the', 'underdoped', 'sample', 'is', 'smaller', 'than', 'that', 'reported', 'for', 'the', 'optimally', 'doped', 'la_184sr_016cuo_4', 'the', 'reduction', 'of', 'the', 'e_cross', 'is', 'explained', 'by', 'the', 'dopingindependent', 'slope', 'of', 'the', 'downward', 'dispersion', 'below', 'the', 'e_cross', 'combined', 'with', 'the', 'smaller', 'incommensurability', 'in', 'the', 'underdoped', 'sample', 'in', 'the', 'energy', 'spectrum', 'of', 'chiw', 'we', 'observed', 'a', 'similar', 'peakdiphump', 'structure', 'in', 'the', 'energy', 'region', 'of', '1045mev', 'to', 'that', 'reported', 'for', 'the', 'optimally', 'doped', 'sample', 'we', 'discuss', 'the', 'relation', 'between', 'the', 'hourglassshaped', 'dispersion', 'and', 'the', 'peakdiphump', 'energy', 'spectrum']] | [-0.11965765354483772, 0.19650756353482446, -0.07053748686688349, 0.08607869237312116, -0.0508400841807837, -0.06355842134764637, 0.11114136954112087, 0.3790534803890349, -0.2462048237075043, -0.28829064927584325, -0.02772435229203171, -0.404035767478704, -0.027376241851871944, 0.19755552383482128, 0.044554571119292896, -0.013958845790886484, -0.04081648088450653, 0.004046666062683524, -0.10780383689459139, -0.1455002332565046, 0.2922298890685745, 0.09157792626715758, 0.3257187376062468, 0.02439243544187561, 0.01843483999083914, 0.02789875848376302, 0.07862614966271554, 0.016423759759645155, -0.17349811434210363, 0.047482108450768626, 0.2772255290953634, -0.06910157780957353, 0.18375565370661207, -0.3887684435972808, -0.20730269142180024, 0.021214480847394204, 0.2113776042105575, 0.08099776471499354, -0.057260427161749894, -0.24257201383657315, 0.06139635524082491, -0.1091606011340285, -0.16621339391713263, 0.013760957070831758, -0.034063991594046134, -0.013655443398473674, -0.16197904334994212, 0.1574012966473888, 0.06630224546568249, 0.044392350965234285, -0.1449003443498548, -0.1519665705272928, -0.09543236232232577, -0.002755877546459327, 0.038637843660527485, 0.06902940890080679, 0.14818449734080144, -0.09307058332214023, -0.034057996995911444, 0.32231262607006905, -0.055094572447213816, -0.0030206340392503668, 0.09867715239798759, -0.25012723052778335, -0.08078881398785812, 0.2305451308733181, 0.13090603189886998, 0.06959446973633021, -0.07386083558573292, 0.018218685527030817, -0.054169203526244554, 0.2152145623763585, 0.07536197103977696, 0.05950043102647589, 0.24874304451377077, 0.2148813603528063, 0.04481197370264186, 0.1289231058138231, -0.22309318584088675, -0.03802033601555997, -0.21840383091201895, -0.11456221802440911, -0.1879067976234878, 0.0043537499304340385, -0.06992697685264455, -0.1305016584776561, 0.37543548376860975, 0.10265366109909818, 0.25711420389330564, -0.025496460589826766, 0.2562218328273636, 0.16437637654170806, 0.11920224564143128, 0.08465681891710333, 0.29364609807346237, 0.12807694726849578, 0.13888320285032557, -0.30651130601900684, 0.025914894115618047, -0.029868866009029958] |
710.5767 | Hunting Galaxies to (and for) Extinction | In studies of star-forming regions, near-infrared excess (NIRX)
sources--objects with intrinsic colors redder than normal stars--constitute
both signal (young stars) and noise (e.g. background galaxies). We hunt down
(identify) galaxies using near-infrared observations in the Perseus
star-forming region by combining structural information, colors, and number
density estimates. Galaxies at moderate redshifts (z = 0.1 - 0.5) have colors
similar to young stellar objects (YSOs) at both near- and mid-infrared (e.g.
Spitzer) wavelengths, which limits our ability to identify YSOs from colors
alone. Structural information from high-quality near-infrared observations
allows us to better separate YSOs from galaxies, rejecting 2/5 of the YSO
candidates identified from Spitzer observations of our regions and potentially
extending the YSO luminosity function below K of 15 magnitudes where galaxy
contamination dominates. Once they are identified we use galaxies as valuable
extra signal for making extinction maps of molecular clouds. Our new iterative
procedure: the Galaxies Near Infrared Color Excess method Revisited (GNICER),
uses the mean colors of galaxies as a function of magnitude to include them in
extinction maps in an unbiased way. GNICER increases the number of background
sources used to probe the structure of a cloud, decreasing the noise and
increasing the resolution of extinction maps made far from the galactic plane.
| astro-ph | in studies of starforming regions nearinfrared excess nirx sourcesobjects with intrinsic colors redder than normal starsconstitute both signal young stars and noise eg background galaxies we hunt down identify galaxies using nearinfrared observations in the perseus starforming region by combining structural information colors and number density estimates galaxies at moderate redshifts z 01 05 have colors similar to young stellar objects ysos at both near and midinfrared eg spitzer wavelengths which limits our ability to identify ysos from colors alone structural information from highquality nearinfrared observations allows us to better separate ysos from galaxies rejecting 25 of the yso candidates identified from spitzer observations of our regions and potentially extending the yso luminosity function below k of 15 magnitudes where galaxy contamination dominates once they are identified we use galaxies as valuable extra signal for making extinction maps of molecular clouds our new iterative procedure the galaxies near infrared color excess method revisited gnicer uses the mean colors of galaxies as a function of magnitude to include them in extinction maps in an unbiased way gnicer increases the number of background sources used to probe the structure of a cloud decreasing the noise and increasing the resolution of extinction maps made far from the galactic plane | [['in', 'studies', 'of', 'starforming', 'regions', 'nearinfrared', 'excess', 'nirx', 'sourcesobjects', 'with', 'intrinsic', 'colors', 'redder', 'than', 'normal', 'starsconstitute', 'both', 'signal', 'young', 'stars', 'and', 'noise', 'eg', 'background', 'galaxies', 'we', 'hunt', 'down', 'identify', 'galaxies', 'using', 'nearinfrared', 'observations', 'in', 'the', 'perseus', 'starforming', 'region', 'by', 'combining', 'structural', 'information', 'colors', 'and', 'number', 'density', 'estimates', 'galaxies', 'at', 'moderate', 'redshifts', 'z', '01', '05', 'have', 'colors', 'similar', 'to', 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710.5768 | DVCS at HERMES: Recent Results | Hard exclusive reactions are the tool to learn about generalized parton
distributions, which provide a more complete parametrization of the nucleon
than the ordinary parton distribution functions. Recent measurements by the
HERMES collaboration of the exclusive production of photons, i.e.,
Deeply-Virtual Compton Scattering, are summarized and compared to model
calculations, focusing on the measurements and model comparisons relevant to
the extraction of quark orbital angular momentum and on the measurements on
heavy nuclei.
| hep-ex | hard exclusive reactions are the tool to learn about generalized parton distributions which provide a more complete parametrization of the nucleon than the ordinary parton distribution functions recent measurements by the hermes collaboration of the exclusive production of photons ie deeplyvirtual compton scattering are summarized and compared to model calculations focusing on the measurements and model comparisons relevant to the extraction of quark orbital angular momentum and on the measurements on heavy nuclei | [['hard', 'exclusive', 'reactions', 'are', 'the', 'tool', 'to', 'learn', 'about', 'generalized', 'parton', 'distributions', 'which', 'provide', 'a', 'more', 'complete', 'parametrization', 'of', 'the', 'nucleon', 'than', 'the', 'ordinary', 'parton', 'distribution', 'functions', 'recent', 'measurements', 'by', 'the', 'hermes', 'collaboration', 'of', 'the', 'exclusive', 'production', 'of', 'photons', 'ie', 'deeplyvirtual', 'compton', 'scattering', 'are', 'summarized', 'and', 'compared', 'to', 'model', 'calculations', 'focusing', 'on', 'the', 'measurements', 'and', 'model', 'comparisons', 'relevant', 'to', 'the', 'extraction', 'of', 'quark', 'orbital', 'angular', 'momentum', 'and', 'on', 'the', 'measurements', 'on', 'heavy', 'nuclei']] | [-0.015686649065273367, 0.20580469536250584, -0.1489432284557452, 0.16420817982456457, -0.06789382947736407, -0.07817236512057381, 0.03917390402814705, 0.36707528052877075, -0.17394128510702964, -0.27162379353013755, -0.0414308687506167, -0.3942072211560627, 0.04339251316739374, 0.17522509924569868, 0.11386630240323864, 0.115421549212953, 0.10027725655228308, -0.03285964431953999, -0.06988581526412131, -0.17610986000692394, 0.3769415979567048, 0.11738669309503565, 0.23437583098213557, 0.11739416997752165, 0.07818441736920137, 0.13065305754083067, -0.1555246227406514, -0.09698767597748809, -0.11277058857097609, 0.15659797613904491, 0.22720414811142478, 0.0808948093565972, 0.08198676958093293, -0.4117661017465265, -0.15375903945046235, 0.06817033065304365, 0.12266662496792739, 0.07098294288551511, -0.01931641156699872, -0.2583706217167312, 0.022342993195283496, -0.2257282969937341, -0.11271732597139804, -0.1432764648188947, -0.01382611658382676, 0.04323622898185906, -0.3021637183448223, 0.05047775306802702, -0.02142044645415185, 0.010604628794631213, -0.04937906900408027, -0.22450161845206398, -0.045432758779099136, 0.02982301104411942, 0.07061566296033561, 0.10081815635402726, 0.1763527203695721, -0.18021262996217668, -0.16808826525453224, 0.39170245049291685, 0.0390786152252886, -0.19669123507449277, 0.12120040163975082, -0.22024201990220033, -0.12842993194569055, 0.12651355376675222, 0.25693380031479546, 0.13909497579610716, -0.19936990219946593, 0.010437207995779966, -0.04313507811995606, 0.16107607241528593, 0.06802456066879915, 0.07811268359065464, 0.17398548021606386, 0.1954285067136157, -0.0868630245047277, 0.03179293657869917, -0.10602881420365445, -0.12904549842981033, -0.34234891755327784, -0.06611205524867018, -0.12742051724599648, 0.0697087797444722, -0.08549846433783237, -0.08285016901029613, 0.35967234772157997, 0.099285520125206, 0.25536930635061167, -0.0068270379967655835, 0.36368622995708905, 0.08755924311715294, 0.07713062512650065, 0.045694776316339225, 0.27182257929434106, 0.2161850836255575, 0.10633195044268688, -0.2208353698712914, 0.10468650747238888, 0.009998788674400277] |
710.5769 | Searching for hexagonal analogues of the half-metallic half-Heusler XYZ
compounds | The XYZ half-Heusler crystal structure can conveniently be described as a
tetrahedral zinc blende YZ structure which is stuffed by a slightly ionic X
species. This description is well suited to understand the electronic structure
of semiconducting 8-electron compounds such as LiAlSi (formulated
Li$^+$[AlSi]$^-$) or semiconducting 18-electron compounds such as TiCoSb
(formulated Ti$^{4+}$[CoSb]$^{4-}$). The basis for this is that [AlSi]$^-$
(with the same electron count as Si$_2$) and [CoSb]$^{4-}$ (the same electron
count as GaSb), are both structurally and electronically, zinc-blende
semiconductors. The electronic structure of half-metallic ferromagnets in this
structure type can then be described as semiconductors with stuffing magnetic
ions which have a local moment: For example, 22 electron MnNiSb can be written
Mn$^{3+}$[NiSb]$^{3-}$. The tendency in the 18 electron compound for a
semiconducting gap -- believed to arise from strong covalency -- is carried
over in MnNiSb to a tendency for a gap in one spin direction. Here we similarly
propose the systematic examination of 18-electron hexagonal compounds for
semiconducting gaps; these would be the "stuffed wurtzite" analogues of the
"stuffed zinc blende" half-Heusler compounds. These semiconductors could then
serve as the basis for possibly new families of half-metallic compounds,
attained through appropriate replacement of non-magnetic ions by magnetic ones.
These semiconductors and semimetals with tunable charge carrier concentrations
could also be interesting in the context of magnetoresistive and thermoelectric
materials.
| cond-mat.mtrl-sci cond-mat.other | the xyz halfheusler crystal structure can conveniently be described as a tetrahedral zinc blende yz structure which is stuffed by a slightly ionic x species this description is well suited to understand the electronic structure of semiconducting 8electron compounds such as lialsi formulated lialsi or semiconducting 18electron compounds such as ticosb formulated ti4cosb4 the basis for this is that alsi with the same electron count as si_2 and cosb4 the same electron count as gasb are both structurally and electronically zincblende semiconductors the electronic structure of halfmetallic ferromagnets in this structure type can then be described as semiconductors with stuffing magnetic ions which have a local moment for example 22 electron mnnisb can be written mn3nisb3 the tendency in the 18 electron compound for a semiconducting gap believed to arise from strong covalency is carried over in mnnisb to a tendency for a gap in one spin direction here we similarly propose the systematic examination of 18electron hexagonal compounds for semiconducting gaps these would be the stuffed wurtzite analogues of the stuffed zinc blende halfheusler compounds these semiconductors could then serve as the basis for possibly new families of halfmetallic compounds attained through appropriate replacement of nonmagnetic ions by magnetic ones these semiconductors and semimetals with tunable charge carrier concentrations could also be interesting in the context of magnetoresistive and thermoelectric materials | [['the', 'xyz', 'halfheusler', 'crystal', 'structure', 'can', 'conveniently', 'be', 'described', 'as', 'a', 'tetrahedral', 'zinc', 'blende', 'yz', 'structure', 'which', 'is', 'stuffed', 'by', 'a', 'slightly', 'ionic', 'x', 'species', 'this', 'description', 'is', 'well', 'suited', 'to', 'understand', 'the', 'electronic', 'structure', 'of', 'semiconducting', '8electron', 'compounds', 'such', 'as', 'lialsi', 'formulated', 'lialsi', 'or', 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710.577 | Compact massive objects in Virgo galaxies: the black hole population | We investigate the distribution of massive black holes (MBHs) in the Virgo
cluster. Observations suggest that AGN activity is widespread in massive
galaxies (M>1e10 solar masses), while at lower galaxy masses star clusters are
more abundant, which might imply a limited presence of central black holes in
these galaxy-mass regimes. We explore if this possible threshold in MBH
hosting, is linked to nature, nurture, or a mixture of both. The nature
scenario arises naturally in hierarchical cosmologies, as MBH formation
mechanisms typically are efficient in biased systems, which would later evolve
into massive galaxies. Nurture, in the guise of MBH ejections following MBH
mergers, provides an additional mechanism that is more effective for low mass,
satellite galaxies. The combination of inefficient formation, and lower
retention of MBHs, leads to the natural explanation of the distribution of
compact massive ob jects in Virgo galaxies. If MBHs arrive to the correlation
with the host mass and velocity dispersion during merger-triggered accretion
episodes, sustained tidal stripping of the host galaxies creates a population
of MBHs which lie above the expected scaling between the holes and their host
mass, suggesting a possible environmental dependence.
| astro-ph | we investigate the distribution of massive black holes mbhs in the virgo cluster observations suggest that agn activity is widespread in massive galaxies m1e10 solar masses while at lower galaxy masses star clusters are more abundant which might imply a limited presence of central black holes in these galaxymass regimes we explore if this possible threshold in mbh hosting is linked to nature nurture or a mixture of both the nature scenario arises naturally in hierarchical cosmologies as mbh formation mechanisms typically are efficient in biased systems which would later evolve into massive galaxies nurture in the guise of mbh ejections following mbh mergers provides an additional mechanism that is more effective for low mass satellite galaxies the combination of inefficient formation and lower retention of mbhs leads to the natural explanation of the distribution of compact massive ob jects in virgo galaxies if mbhs arrive to the correlation with the host mass and velocity dispersion during mergertriggered accretion episodes sustained tidal stripping of the host galaxies creates a population of mbhs which lie above the expected scaling between the holes and their host mass suggesting a possible environmental dependence | [['we', 'investigate', 'the', 'distribution', 'of', 'massive', 'black', 'holes', 'mbhs', 'in', 'the', 'virgo', 'cluster', 'observations', 'suggest', 'that', 'agn', 'activity', 'is', 'widespread', 'in', 'massive', 'galaxies', 'm1e10', 'solar', 'masses', 'while', 'at', 'lower', 'galaxy', 'masses', 'star', 'clusters', 'are', 'more', 'abundant', 'which', 'might', 'imply', 'a', 'limited', 'presence', 'of', 'central', 'black', 'holes', 'in', 'these', 'galaxymass', 'regimes', 'we', 'explore', 'if', 'this', 'possible', 'threshold', 'in', 'mbh', 'hosting', 'is', 'linked', 'to', 'nature', 'nurture', 'or', 'a', 'mixture', 'of', 'both', 'the', 'nature', 'scenario', 'arises', 'naturally', 'in', 'hierarchical', 'cosmologies', 'as', 'mbh', 'formation', 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710.5771 | Fisher's Zeros and Perturbative Series in Gluodynamics | We study the zeros of the partition function in the complex beta plane
(Fisher's zeros) in SU(2) and SU(3) gluodynamics. We discuss their effects on
the asymptotic behavior of the perturbative series for the average plaquette.
We present new methods to infer the existence of these zeros in region of the
complex beta plane where MC reweighting is not reliable. These methods are
based on the assumption that the plaquette distribution can be approximated by
a phi^4 type distribution. We give new estimates of the locations for a 4^4
lattice. For SU(2), we found zeros at beta =2.18(1) \pm i0.18(2) (which differs
from previous estimates), and at beta =2.18(1) \pm i0.22(2). For SU(3), we
confirm beta =5.54(2)\pm i0.10(2) and found additional zeros at beta
=5.54(2)\pm i0.16(2). Some of the technical material can be found in recent
preprints, in the following we emphasize the motivations (why it is important
to know the locations of the zeros) and the challenges (why it is difficult to
locate the zeros when the volume increases)
| hep-lat | we study the zeros of the partition function in the complex beta plane fishers zeros in su2 and su3 gluodynamics we discuss their effects on the asymptotic behavior of the perturbative series for the average plaquette we present new methods to infer the existence of these zeros in region of the complex beta plane where mc reweighting is not reliable these methods are based on the assumption that the plaquette distribution can be approximated by a phi4 type distribution we give new estimates of the locations for a 44 lattice for su2 we found zeros at beta 2181 pm i0182 which differs from previous estimates and at beta 2181 pm i0222 for su3 we confirm beta 5542pm i0102 and found additional zeros at beta 5542pm i0162 some of the technical material can be found in recent preprints in the following we emphasize the motivations why it is important to know the locations of the zeros and the challenges why it is difficult to locate the zeros when the volume increases | [['we', 'study', 'the', 'zeros', 'of', 'the', 'partition', 'function', 'in', 'the', 'complex', 'beta', 'plane', 'fishers', 'zeros', 'in', 'su2', 'and', 'su3', 'gluodynamics', 'we', 'discuss', 'their', 'effects', 'on', 'the', 'asymptotic', 'behavior', 'of', 'the', 'perturbative', 'series', 'for', 'the', 'average', 'plaquette', 'we', 'present', 'new', 'methods', 'to', 'infer', 'the', 'existence', 'of', 'these', 'zeros', 'in', 'region', 'of', 'the', 'complex', 'beta', 'plane', 'where', 'mc', 'reweighting', 'is', 'not', 'reliable', 'these', 'methods', 'are', 'based', 'on', 'the', 'assumption', 'that', 'the', 'plaquette', 'distribution', 'can', 'be', 'approximated', 'by', 'a', 'phi4', 'type', 'distribution', 'we', 'give', 'new', 'estimates', 'of', 'the', 'locations', 'for', 'a', '44', 'lattice', 'for', 'su2', 'we', 'found', 'zeros', 'at', 'beta', '2181', 'pm', 'i0182', 'which', 'differs', 'from', 'previous', 'estimates', 'and', 'at', 'beta', '2181', 'pm', 'i0222', 'for', 'su3', 'we', 'confirm', 'beta', '5542pm', 'i0102', 'and', 'found', 'additional', 'zeros', 'at', 'beta', '5542pm', 'i0162', 'some', 'of', 'the', 'technical', 'material', 'can', 'be', 'found', 'in', 'recent', 'preprints', 'in', 'the', 'following', 'we', 'emphasize', 'the', 'motivations', 'why', 'it', 'is', 'important', 'to', 'know', 'the', 'locations', 'of', 'the', 'zeros', 'and', 'the', 'challenges', 'why', 'it', 'is', 'difficult', 'to', 'locate', 'the', 'zeros', 'when', 'the', 'volume', 'increases']] | [-0.11582918134915483, 0.10556807767503282, -0.09240935367202704, 0.11013625338659394, -0.06162085065266072, -0.09155291586932612, 0.08130014212887235, 0.3695508420549719, -0.18585784293756616, -0.26261534715616486, 0.11226184411107835, -0.30583828258634793, -0.16157218501207465, 0.1585615282003745, -0.007756634582886075, 0.04868051334477325, -0.009950254538391785, 0.0655892134257933, -0.11219591856703429, -0.24951999353119966, 0.2982224625103721, 0.009477500971293122, 0.23828271242063037, 0.06885751558569964, 0.026422219504971374, -0.007224306308028356, -0.02732590558688815, -0.0696177652912078, -0.16714601672032497, 0.0792880387829117, 0.21077188882386175, 0.05691633182833335, 0.20462690168855394, -0.36882383508108013, -0.17392273457641372, 0.12292253951933917, 0.19804294912780568, 0.04706431011507492, -0.0071084083898401845, -0.25033079727166674, 0.10347810547824426, -0.1040780975983092, -0.20285838578611884, -0.060298060052801014, 0.012662796185794854, 0.03269353206837323, -0.30082771842220296, 0.09977803245845546, -0.003190188234240362, 0.07091613560872402, -0.009730046021570338, -0.2129626806950333, 0.010018288007392207, 0.1334320263897719, 0.10302854057759182, 0.045321527120327894, 0.0974884143371771, -0.14188922670806145, -0.0771133577658386, 0.3579431635940947, -0.02314914194810227, -0.209615691367639, 0.13489732426476223, -0.20987662668027574, -0.19878383250655066, 0.11561639680777018, 0.11199340634275137, 0.10902457784509241, -0.10247046992414498, 0.09976948606469328, -0.04892901043271328, 0.16921521983927162, 0.04641238592349265, -0.024989800564604016, 0.22761295678196247, 0.09254691018240253, 0.02719263123382428, 0.12760716940314656, -0.09373109229192955, -0.12548029532076838, -0.33248076987702674, -0.14443929754367962, -0.18482190661456027, 0.053230274780373024, -0.11550096346586432, -0.1631677598215458, 0.39118284637125483, 0.1691115346322654, 0.20835995313032848, 0.03967488006328051, 0.21543870535792736, 0.1235005009448065, 0.03872406132740718, 0.05323090296658892, 0.22151498881643553, 0.1209989408252579, 0.07126098410680709, -0.2250345512421052, 0.03973025679034635, 0.09215225985320924] |
710.5772 | Pre-Poisson submanifolds | This is an expository and introductory note on some results obtained in
"Coisotropic embeddings in Poisson manifolds" (ArXiv math/0611480). Some
original material is contained in the last two sections, where we consider
linear Poisson structures.
| math.SG math.DG | this is an expository and introductory note on some results obtained in coisotropic embeddings in poisson manifolds arxiv math0611480 some original material is contained in the last two sections where we consider linear poisson structures | [['this', 'is', 'an', 'expository', 'and', 'introductory', 'note', 'on', 'some', 'results', 'obtained', 'in', 'coisotropic', 'embeddings', 'in', 'poisson', 'manifolds', 'arxiv', 'math0611480', 'some', 'original', 'material', 'is', 'contained', 'in', 'the', 'last', 'two', 'sections', 'where', 'we', 'consider', 'linear', 'poisson', 'structures']] | [-0.13963206697885386, 0.031954642902693356, -0.0345960142200484, 0.1008015131639481, -0.1160426668357104, -0.08885145562646143, -0.09158255313249196, 0.40649665914037647, -0.3035174555638257, -0.19225642348037048, 0.07544650829410837, -0.32312680884976597, -0.21222827934166966, 0.17673826314892402, -0.2213542779414531, -0.041050797821406054, 0.10180822683169562, 0.0770300358588643, -0.10694282787495896, -0.3969553293290493, 0.42912569532499595, 0.02747064774089, 0.21847067321376765, 0.0495770967373734, 0.08895730805199813, 0.005778606118196074, -0.08286703662837253, -0.01923083542736576, -0.21762926821761272, 0.15188892651349306, 0.3579338269499952, 0.0050950328518143476, 0.22415450037292697, -0.4294617889339433, -0.12874573521206484, 0.08134151578826063, 0.12153738211182986, 0.09469206921537132, -0.03854568526217276, -0.28373718623291044, 0.06423873803920715, -0.10061304769752656, -0.0844772615853478, 0.0070696939878603995, 0.0006927234558936427, 0.011310307637733571, -0.12916969551759608, -0.004667009720030953, 0.19555973913520575, 0.11374148780219805, -0.09848527303513359, -0.17718561892123783, 0.03215771201340591, 0.005388308946481522, 0.054433567665161234, 0.023789522498298216, 0.09314592903041664, -0.05587417772724567, -0.09255546711467426, 0.4023801734780564, -0.02713520244202193, -0.2840410523554858, 0.10733035747441189, -0.10819428041577339, -0.24621347761849927, 0.10060417589128894, 0.18308659937397084, 0.10854911869939636, -0.17257820091703358, 0.18570089928963332, -0.10722181706360596, 0.05887084813131129, 0.10035353529212229, -0.02802806392805103, 0.10403855062802048, 0.15184942022589146, 0.022448348538840517, 0.12482410694664235, 0.004796122413073831, -0.09854970461524584, -0.40364150639952107, -0.1937086458920556, -0.12691017704577567, 0.13108269797008046, -0.0457377835199997, -0.1371091198285713, 0.3590413268436404, 0.09295205980101053, 0.26341783936025903, 0.03183488210882334, 0.24206969908931675, 0.07647906016448841, -0.07702626766780775, 0.08239337418447523, 0.1507180236529915, 0.16875799115308943, 0.12258956690921503, 0.02158017990672413, -0.018973599297597128, 0.13649318956167383] |
710.5773 | Unparticle Searches Through Compton Scattering | We investigate the effects of unparticles on Compton scattering, e gamma -> e
gamma based on a future e^+e^- linear collider such as the CLIC. For different
polarization configurations, we calculate the lower limits of the unparticle
energy scale Lambda_U for a discovery reach at the center of mass energies
sqrt(s)=0.5 TeV- 3 TeV. It is shown that, especially, for smaller values of the
mass dimension d, (1 <d <1.3), and for high energies and luminosities of the
collider these bounds are very significant. As a stringent limit, we find
Lambda_U>80 TeV for d<1.3 at sqrt(s)=3 TeV, and 1 ab^(-1) integrated luminosity
per year, which is comparable with the limits calculated from other low and
high energy physics implications.
| hep-ph | we investigate the effects of unparticles on compton scattering e gamma e gamma based on a future ee linear collider such as the clic for different polarization configurations we calculate the lower limits of the unparticle energy scale lambda_u for a discovery reach at the center of mass energies sqrts05 tev 3 tev it is shown that especially for smaller values of the mass dimension d 1 d 13 and for high energies and luminosities of the collider these bounds are very significant as a stringent limit we find lambda_u80 tev for d13 at sqrts3 tev and 1 ab1 integrated luminosity per year which is comparable with the limits calculated from other low and high energy physics implications | [['we', 'investigate', 'the', 'effects', 'of', 'unparticles', 'on', 'compton', 'scattering', 'e', 'gamma', 'e', 'gamma', 'based', 'on', 'a', 'future', 'ee', 'linear', 'collider', 'such', 'as', 'the', 'clic', 'for', 'different', 'polarization', 'configurations', 'we', 'calculate', 'the', 'lower', 'limits', 'of', 'the', 'unparticle', 'energy', 'scale', 'lambda_u', 'for', 'a', 'discovery', 'reach', 'at', 'the', 'center', 'of', 'mass', 'energies', 'sqrts05', 'tev', '3', 'tev', 'it', 'is', 'shown', 'that', 'especially', 'for', 'smaller', 'values', 'of', 'the', 'mass', 'dimension', 'd', '1', 'd', '13', 'and', 'for', 'high', 'energies', 'and', 'luminosities', 'of', 'the', 'collider', 'these', 'bounds', 'are', 'very', 'significant', 'as', 'a', 'stringent', 'limit', 'we', 'find', 'lambda_u80', 'tev', 'for', 'd13', 'at', 'sqrts3', 'tev', 'and', '1', 'ab1', 'integrated', 'luminosity', 'per', 'year', 'which', 'is', 'comparable', 'with', 'the', 'limits', 'calculated', 'from', 'other', 'low', 'and', 'high', 'energy', 'physics', 'implications']] | [-0.06431272581247534, 0.21143231817927116, -0.011916266704519462, 0.18513805436121666, -0.0168269066633577, -0.1461321249600245, 0.0005149082320495548, 0.3416776545982585, -0.1882349670999962, -0.36984358889918423, 0.07070130912953207, -0.3348341533739088, 0.06829496895751128, 0.2480106777471737, 0.12840128629906183, 0.05594123033799219, 0.06918577907177118, 0.030043041842997584, -0.07432996275293458, -0.1984216510795821, 0.2655895274395171, 0.15992785131749818, 0.21561314057335895, 0.1640550484920605, 0.10171332650093569, -0.015132898044907767, 0.0025082124659839347, -0.06372271569318369, -0.1526448560071314, 0.10287638253066689, 0.24333150433296832, 0.06515983680987524, 0.1497324415936302, -0.32425963372374195, -0.1147944297010684, 0.1587487712351239, 0.11511474129401593, 0.013269607621467967, -0.02048476888304656, -0.24098074335095465, 0.13166034429554996, -0.22180744040056935, -0.14347837021615173, 0.037826166591710515, 0.10691125455718392, -0.0562547080250632, -0.29054264498189986, 0.07351452609699251, -0.04006297257927875, 0.03351558518046752, -0.07211017732022919, -0.24959325393200174, -0.06323401059390196, -0.031702699809351094, 0.0548327877982241, 0.025467302310917303, 0.15842661981940523, -0.15937087396517968, -0.17019311915764695, 0.3768117649791141, -0.05712640139027538, -0.10193589133903003, 0.23428539135970938, -0.23287670669328964, -0.17135620546033686, 0.15926802163529727, 0.28673616433356947, 0.0558179994710745, -0.12800925493272197, 0.176013987455925, 0.024971687465778783, 0.168348010444345, 0.08645373595974003, 0.10040033604296991, 0.21819203815812993, 0.2255662326167664, 0.09468037232310854, 0.026123569267861642, -0.1706701185271685, 0.05717198719851609, -0.4170303989169944, -0.0725204278754755, -0.126115935576013, 0.1122415899975687, -0.12030252761309011, 0.0013081017231397554, 0.3259969573889851, 0.13021506253693604, 0.29486489412971795, 0.06602554983144993, 0.24012501440588066, 0.16967614350689209, 0.08074933034019609, 0.11868071369503418, 0.3558735987251131, 0.0777978319197129, 0.11227047183097173, -0.1883000437882689, -0.04400071305815831, -0.00613918455524577] |
710.5774 | Physical and Wind Properties of [WC] Stars | We review the properties of carbon-sequence ([WC]) Wolf-Rayet central stars
of planetary nebulae (CSPNe). Differences between the subtype distribution of
[WC] stars and their massive WC cousins are discussed. We conclude that
[WO]-type differ from early-type [WC] stars as a result of weaker stellar winds
due to high surface gravities, and that late- and early-type [WC] and [WO]
stars generally span a similar range in abundances, X(He) ~ X(C) >> X(O),
consistent with a late thermal pulse, and likely progenitors to PG1159 stars.
| astro-ph | we review the properties of carbonsequence wc wolfrayet central stars of planetary nebulae cspne differences between the subtype distribution of wc stars and their massive wc cousins are discussed we conclude that wotype differ from earlytype wc stars as a result of weaker stellar winds due to high surface gravities and that late and earlytype wc and wo stars generally span a similar range in abundances xhe xc xo consistent with a late thermal pulse and likely progenitors to pg1159 stars | [['we', 'review', 'the', 'properties', 'of', 'carbonsequence', 'wc', 'wolfrayet', 'central', 'stars', 'of', 'planetary', 'nebulae', 'cspne', 'differences', 'between', 'the', 'subtype', 'distribution', 'of', 'wc', 'stars', 'and', 'their', 'massive', 'wc', 'cousins', 'are', 'discussed', 'we', 'conclude', 'that', 'wotype', 'differ', 'from', 'earlytype', 'wc', 'stars', 'as', 'a', 'result', 'of', 'weaker', 'stellar', 'winds', 'due', 'to', 'high', 'surface', 'gravities', 'and', 'that', 'late', 'and', 'earlytype', 'wc', 'and', 'wo', 'stars', 'generally', 'span', 'a', 'similar', 'range', 'in', 'abundances', 'xhe', 'xc', 'xo', 'consistent', 'with', 'a', 'late', 'thermal', 'pulse', 'and', 'likely', 'progenitors', 'to', 'pg1159', 'stars']] | [-0.011672240944249155, 0.15524622551578132, -0.07203992822832322, 0.1869438333861247, -0.12163464654873632, -0.08789929981591015, 0.1274397158523715, 0.3952813939769057, -0.06002637455122003, -0.3374631218376416, -0.05384508160361431, -0.3063096335313218, 0.0010476385042825832, 0.19608784643815289, -0.14380147418337344, -0.09718633177277597, 0.18626695726349762, -0.12420889020814926, -0.09021491783927489, -0.31680028427604445, 0.31072356065299034, 0.0059226370664148395, 0.07065062283809427, -0.12777421411857764, -0.057166437171930096, -0.18256358162181663, -0.06908489289160087, -0.06699331206139884, -0.17254188195953316, -0.01284773507497356, 0.2594728224993318, 0.14111336321817547, 0.1391675981775492, -0.30794730583866, -0.20788738484011043, 0.03984555674575364, 0.23101193984215962, 0.008053663446084608, -0.11142217952616607, -0.20469099596802948, 0.1345578706646456, -0.2247514679712609, -0.18784950705999626, 0.08293141475348156, 0.11683326547735524, 0.12906300765756942, -0.19779711578017736, 0.15477977429157053, 0.10544084440445221, 0.15326606324296208, -0.1412566130792227, -0.22729647070570272, -0.17171656081004988, 0.011788175831831803, 0.04488047523589074, 0.043057496311316924, 0.13071969503984798, -0.15186416290558968, 0.055674408733420354, 0.45281044488088995, -0.1173072830166762, 0.10166261246121383, 0.35006354333054795, -0.23445055044338672, -0.2088064416016959, 0.08302182279220677, 0.11323294502423628, 0.23961926938352895, -0.17935664044056512, -0.03935238971637232, 0.07843214354206678, 0.13239648515841912, 0.048735626189250356, 0.1391287168865151, 0.368163106680105, 0.062397029504321425, -0.06354098216648202, 0.02990339928648517, -0.19968515402295545, -0.03760806708655591, -0.1832355537180659, -0.17534834300934138, -0.07069661250320275, 0.09183826519152787, -0.1784865476264356, -0.18265016598603392, 0.301055123605117, 0.05109772397370278, 0.1648244531471518, -0.011987673781098962, 0.200277197162939, 0.07451208700531654, 0.10113445855382405, 0.16685072575471824, 0.31843027420624903, 0.32640689666842737, 0.11552092026258949, -0.2624573005728801, 0.10700882305472181, 0.002422205534987623] |
710.5775 | A study of Bbar -> Xi_c Lambda_c^- and Bbar -> Lambda_c^+ Lambda_c^-
Kbar decays at BABAR | We report measurements of B-meson decays into two- and three-body final
states containing two charmed baryons using a sample of 230 million Y(4S) -> B
Bbar decays. We find significant signals in two modes, measuring branching
fractions BF(B^- -> \Lambda_c^+ \Lambda_c^- K^-) = (1.14 +- 0.15 +- 0.17 +-
0.60) x 10^{-3} and BF(B^- -> \Xi_c^0 \Lambda_c^-) x BF(\Xi_c^0 -> \Xi^- \pi^+)
= (2.08 +- 0.65 +- 0.29 +- 0.54) x 10^{-5}, where the uncertainties are
statistical, systematic, and from the branching fraction BF(\Lambda_c^+ -> p
K^- \pi^+), respectively. We also set upper limits at the 90% confidence level
on two other modes: BF(B0bar -> \Xi_c^+ \Lambda_c^-) x BF(\Xi_c^+ -> \Xi^-
\pi^+ \pi^+) < 5.6 x 10^{-5} and BF(B0bar -> \Lambda_c^+ \Lambda_c^- K0bar) <
1.5 x 10^{-3}. We observe structure centered at an invariant mass of 2.93
GeV/c^2 in the \Lambda_c^+ K^- mass distribution of the decay B^- ->
\Lambda_c^+ \Lambda_c^- K^-.
| hep-ex | we report measurements of bmeson decays into two and threebody final states containing two charmed baryons using a sample of 230 million y4s b bbar decays we find significant signals in two modes measuring branching fractions bfb lambda_c lambda_c k 114 015 017 060 x 103 and bfb xi_c0 lambda_c x bfxi_c0 xi pi 208 065 029 054 x 105 where the uncertainties are statistical systematic and from the branching fraction bflambda_c p k pi respectively we also set upper limits at the 90 confidence level on two other modes bfb0bar xi_c lambda_c x bfxi_c xi pi pi 56 x 105 and bfb0bar lambda_c lambda_c k0bar 15 x 103 we observe structure centered at an invariant mass of 293 gevc2 in the lambda_c k mass distribution of the decay b lambda_c lambda_c k | [['we', 'report', 'measurements', 'of', 'bmeson', 'decays', 'into', 'two', 'and', 'threebody', 'final', 'states', 'containing', 'two', 'charmed', 'baryons', 'using', 'a', 'sample', 'of', '230', 'million', 'y4s', 'b', 'bbar', 'decays', 'we', 'find', 'significant', 'signals', 'in', 'two', 'modes', 'measuring', 'branching', 'fractions', 'bfb', 'lambda_c', 'lambda_c', 'k', '114', '015', '017', '060', 'x', '103', 'and', 'bfb', 'xi_c0', 'lambda_c', 'x', 'bfxi_c0', 'xi', 'pi', '208', '065', '029', '054', 'x', '105', 'where', 'the', 'uncertainties', 'are', 'statistical', 'systematic', 'and', 'from', 'the', 'branching', 'fraction', 'bflambda_c', 'p', 'k', 'pi', 'respectively', 'we', 'also', 'set', 'upper', 'limits', 'at', 'the', '90', 'confidence', 'level', 'on', 'two', 'other', 'modes', 'bfb0bar', 'xi_c', 'lambda_c', 'x', 'bfxi_c', 'xi', 'pi', 'pi', '56', 'x', '105', 'and', 'bfb0bar', 'lambda_c', 'lambda_c', 'k0bar', '15', 'x', '103', 'we', 'observe', 'structure', 'centered', 'at', 'an', 'invariant', 'mass', 'of', '293', 'gevc2', 'in', 'the', 'lambda_c', 'k', 'mass', 'distribution', 'of', 'the', 'decay', 'b', 'lambda_c', 'lambda_c', 'k']] | [-0.16966652406755692, 0.3353495778490189, -0.03670508444058494, 0.06600755895667065, 0.032387678283983125, -0.1370470156427473, 0.22693488820312688, 0.2742632895027502, -0.16934811922793205, -0.2648206000502866, -0.11524591643649798, -0.4825853801690615, 0.13912953012264692, 0.07907507148786233, 0.16821675093557972, 0.08599129637989861, 0.055233641131781044, 0.03908810892428916, -0.04343545651421524, -0.1810926338729377, 0.13478571569117215, -0.12273662231432704, 0.19652413023062623, 0.08045106223927667, -0.01656353106865516, -0.04983464381657541, 0.007908780722377391, -0.14198070030229595, -0.3149901143525942, -0.051544903170836806, 0.2010236798767717, 0.08371315168646666, 0.156101426612944, -0.19089444795452157, 0.08263413874754826, 0.1709297506317783, 0.21325617220539314, -0.05741759889687483, 0.07719767829671932, -0.4024569946842698, 0.21984975225507067, -0.13451180631259027, -0.03768796704288644, -0.011824413397027037, 0.20242416501009408, -0.16423542293576668, -0.3529850932182923, 0.17832511371659795, -0.08098704069852829, 0.11006120388696078, -0.0075159161620271895, -0.4060878226103691, -0.04865837989580961, -0.06142654965918225, 0.018167267797084954, 0.20262090718628875, 0.23901469104278547, -0.014915567128739964, -0.07717712096010264, 0.38192110190597867, -0.10428423572761508, -0.12517009001010312, 0.0563301576122355, -0.2671164677093307, -0.1542709891899274, 0.2882412004427841, 0.24157482832670213, 0.0628938593703564, -0.1553422201500955, 0.11476319169876381, -0.03255154501216916, 0.2700997096271469, 0.1145049598847086, 0.07579516890691593, 0.1750132409309467, 0.1639924833551049, -0.07853199675535927, -0.00711804673460742, -0.1958252981520043, 0.05537722648049776, -0.3462856611814529, -0.09540496710329675, -0.00424874412934654, 0.2217703053387455, -0.1294441581376864, 0.0017320769803168682, 0.2597891123392261, 0.0029366521460290713, 0.40386190440219183, 0.04226843468450869, 0.2190985929650756, 0.04884271749682599, -0.06750580745373065, 0.09442549243820114, 0.2565222320254319, 0.27320364052429796, 0.04769183535827324, -0.24663572037198508, -0.015432414480556662, -0.0667456263067344] |
710.5776 | Entanglement Generation in the Scattering of One-Dimensional Particles | This article provides a convenient framework for quantitative evaluation of
the entanglement generated when two structureless, distinguishable particles
scatter non-relativistically in one dimension. It explores how three factors
determine the amount of entanglement generated: the momentum distributions of
the incoming particles, their masses, and the interaction potential. Two
important scales emerge, one set by the kinematics and one set by the dynamics.
This method also provides two approximate analytic formulas useful for
numerical evaluation of entanglement and reveals an interesting connection
between purity, linear coordinate transformations, and momentum uncertainties.
| quant-ph | this article provides a convenient framework for quantitative evaluation of the entanglement generated when two structureless distinguishable particles scatter nonrelativistically in one dimension it explores how three factors determine the amount of entanglement generated the momentum distributions of the incoming particles their masses and the interaction potential two important scales emerge one set by the kinematics and one set by the dynamics this method also provides two approximate analytic formulas useful for numerical evaluation of entanglement and reveals an interesting connection between purity linear coordinate transformations and momentum uncertainties | [['this', 'article', 'provides', 'a', 'convenient', 'framework', 'for', 'quantitative', 'evaluation', 'of', 'the', 'entanglement', 'generated', 'when', 'two', 'structureless', 'distinguishable', 'particles', 'scatter', 'nonrelativistically', 'in', 'one', 'dimension', 'it', 'explores', 'how', 'three', 'factors', 'determine', 'the', 'amount', 'of', 'entanglement', 'generated', 'the', 'momentum', 'distributions', 'of', 'the', 'incoming', 'particles', 'their', 'masses', 'and', 'the', 'interaction', 'potential', 'two', 'important', 'scales', 'emerge', 'one', 'set', 'by', 'the', 'kinematics', 'and', 'one', 'set', 'by', 'the', 'dynamics', 'this', 'method', 'also', 'provides', 'two', 'approximate', 'analytic', 'formulas', 'useful', 'for', 'numerical', 'evaluation', 'of', 'entanglement', 'and', 'reveals', 'an', 'interesting', 'connection', 'between', 'purity', 'linear', 'coordinate', 'transformations', 'and', 'momentum', 'uncertainties']] | [-0.12605736621268346, 0.16562381680427626, -0.10750000445915156, 0.12324472716904841, -0.019904252507964546, -0.13463689091751416, 0.003940995091970047, 0.36270481519652215, -0.25186281054793447, -0.309937091387306, -0.0010524739555784323, -0.2886591072748886, -0.10004762840572368, 0.20505157862319034, 0.047784292814877734, 0.060803750195027734, 0.07675315565403468, 0.010043303555484568, -0.05601083729520775, -0.22050294944535145, 0.35886405583136205, 0.02970209473932392, 0.2863130865806944, 0.059604761771481024, 0.1337240648670436, 0.04132059654430224, -0.06887728728228405, 0.001167599069938231, -0.12443265005464801, 0.15071468725486586, 0.21953702015407237, 0.14011465305765944, 0.24015046140241825, -0.3816991974128766, -0.14589785391025328, 0.09376751289315773, 0.15363287087987712, 0.10986523808691692, -0.07215733704774567, -0.25877956195284474, -0.04718546963851439, -0.1716480361653513, -0.17812136517774857, -0.12059402310687085, 0.04391592519169443, -0.03677858211351245, -0.2556105963676498, 0.0941684457935848, 0.04173760491180014, 0.05499721045365159, -0.01452195823318168, -0.07929481287340351, -0.0172794087308595, 0.16389017151125831, 0.07074199474594567, -0.02100158930138758, 0.14437116958263718, -0.09245432244634695, -0.08114926976392443, 0.3793620589984518, -0.008797926407077172, -0.26591666243719253, 0.2000858032594571, -0.12884100853318997, -0.10336192850850187, 0.10564214490835419, 0.14512219786476555, 0.09138750600408804, -0.18286779930823602, 0.041740417545870614, -0.026961207661903307, 0.1451565559869737, 0.07957404751456186, 0.08956101998749576, 0.21698364437547293, 0.11101197712175716, 0.027581513289027335, 0.16358508595547985, -0.04740365078212338, -0.13137577648871065, -0.3328019037026535, -0.1784277099676514, -0.17435865848210086, 0.030880601924917338, -0.1501161017856728, -0.10814311541616917, 0.41907158590267213, 0.1576088016795183, 0.2145422294924266, 0.0344502889260838, 0.3280712735075294, 0.0716976411670075, 0.015343658246748736, 0.06294270023426271, 0.2352031199784761, 0.13994415972664367, 0.056293710815102864, -0.2511756215401496, 0.03303679990257775, 0.07434033892337191] |
710.5777 | On metallic gratings coated conformally with isotropic
negative-phase-velocity materials | Application of the differential method (also called the C method) to
plane-wave diffraction by a perfectly conducting, sinusoidally corrugated
metallic grating coated with a linear, homogeneous, isotropic, lossless
dielectric-magnetic material shows that coating materials with negative index
of refraction may deliver enhanced maximum nonspecular reflection efficiencies
in comparison to coating materials with positive index of refraction.
| physics.optics physics.class-ph | application of the differential method also called the c method to planewave diffraction by a perfectly conducting sinusoidally corrugated metallic grating coated with a linear homogeneous isotropic lossless dielectricmagnetic material shows that coating materials with negative index of refraction may deliver enhanced maximum nonspecular reflection efficiencies in comparison to coating materials with positive index of refraction | [['application', 'of', 'the', 'differential', 'method', 'also', 'called', 'the', 'c', 'method', 'to', 'planewave', 'diffraction', 'by', 'a', 'perfectly', 'conducting', 'sinusoidally', 'corrugated', 'metallic', 'grating', 'coated', 'with', 'a', 'linear', 'homogeneous', 'isotropic', 'lossless', 'dielectricmagnetic', 'material', 'shows', 'that', 'coating', 'materials', 'with', 'negative', 'index', 'of', 'refraction', 'may', 'deliver', 'enhanced', 'maximum', 'nonspecular', 'reflection', 'efficiencies', 'in', 'comparison', 'to', 'coating', 'materials', 'with', 'positive', 'index', 'of', 'refraction']] | [-0.11891026570395168, 0.17759837712427334, -0.058920474839396775, -0.10080953257316391, -0.12259895073033736, -0.27242510923783164, 0.02010032905465258, 0.5234512560335653, -0.25437462685762774, -0.3085931278598894, 0.018566228289273567, -0.34260924915517016, -0.1580874160946613, 0.21823960978404752, -0.03553053134653185, 0.09526853195568817, -0.015207574220507272, -0.11608184041688219, -0.06161037589273682, -0.1689205766597297, 0.2680157446551935, 0.07709188538137823, 0.3488142922287807, 0.05129504595450791, 0.07283626498039146, 0.049209579614398535, 0.028138714235475554, 0.06692240129424525, -0.1083827193684296, 0.08359903524563249, 0.28173190212276367, -0.13686684775166214, 0.1313618518012975, -0.40678409174350755, -0.2814146315545908, -0.038804028723721525, 0.07911018187067904, 0.027663454513198564, -0.13714424010166631, -0.20745425767797446, 0.052642545481960824, -0.14667636135709472, -0.2150149469380267, -0.003015226002649537, -0.04274073345836119, 0.024251275130414536, -0.26927367431510774, 0.036242373363035894, 0.048183788520483564, 0.037073064373024475, -0.10137757356278598, -0.11851481856345865, -0.05121668759966269, -0.03753174234381212, 0.006105388714266675, -0.07263712289984271, 0.1569968266745231, -0.07770442885729219, -0.06718711874314717, 0.36509805535440265, -0.13158702035434544, -0.17602640021193242, 0.10828677882091142, -0.1890879561209918, 0.11657703392224253, 0.2856598108774051, 0.161763859713184, 0.0842902759156589, -0.07982973448399987, -0.006171890318260661, -0.04288115763171975, 0.23914536944981332, 0.20591879210301808, -0.03163881596576955, 0.2037543373922485, 0.15135417835387802, 0.04974307422526181, 0.19927367631212942, -0.06442104925268463, 0.06805930808020223, -0.22918615826139493, -0.2415513743347089, -0.19120223624382301, 0.0506614176556468, -0.17917011768024946, -0.333265326950433, 0.29956845771188717, 0.04059784243457086, 0.06328693354992408, -0.04367192166059145, 0.3209055812497224, 0.08288954793741661, 0.037926495152143094, 0.0042481855821928805, 0.28727809281554073, 0.21738091869961604, 0.14781749401507632, -0.19391464827848331, 0.05719518199995426, -0.010212035700013595] |
710.5778 | The SEGUE Stellar Parameter Pipeline. II. Validation with Galactic
Globular and Open Clusters | We validate the performance and accuracy of the current SEGUE (Sloan
Extension for Galactic Understanding and Exploration) Stellar Parameter
Pipeline (SSPP), which determines stellar atmospheric parameters (effective
temperature, surface gravity, and metallicity) by comparing derived overall
metallicities and radial velocities from selected likely members of three
globular clusters (M 13, M 15, and M 2) and two open clusters (NGC 2420 and M
67) to the literature values. Spectroscopic and photometric data obtained
during the course of the original Sloan Digital Sky Survey (SDSS-I) and its
first extension (SDSS-II/SEGUE) are used to determine stellar radial velocities
and atmospheric parameter estimates for stars in these clusters. Based on the
scatter in the metallicities derived for the members of each cluster, we
quantify the typical uncertainty of the SSPP values, sigma([Fe/H]) = 0.13 dex
for stars in the range of 4500 K < Teff < 7500 K and 2.0 < log g < 5.0, at
least over the metallicity interval spanned by the clusters studied (-2.3 <
[Fe/H] < 0). The surface gravities and effective temperatures derived by the
SSPP are also compared with those estimated from the comparison of the
color-magnitude diagrams with stellar evolution models; we find satisfactory
agreement. At present, the SSPP underestimates [Fe/H] for
near-solar-metallicity stars, represented by members of M 67 in this study, by
about 0.3 dex.
| astro-ph | we validate the performance and accuracy of the current segue sloan extension for galactic understanding and exploration stellar parameter pipeline sspp which determines stellar atmospheric parameters effective temperature surface gravity and metallicity by comparing derived overall metallicities and radial velocities from selected likely members of three globular clusters m 13 m 15 and m 2 and two open clusters ngc 2420 and m 67 to the literature values spectroscopic and photometric data obtained during the course of the original sloan digital sky survey sdssi and its first extension sdssiisegue are used to determine stellar radial velocities and atmospheric parameter estimates for stars in these clusters based on the scatter in the metallicities derived for the members of each cluster we quantify the typical uncertainty of the sspp values sigmafeh 013 dex for stars in the range of 4500 k teff 7500 k and 20 log g 50 at least over the metallicity interval spanned by the clusters studied 23 feh 0 the surface gravities and effective temperatures derived by the sspp are also compared with those estimated from the comparison of the colormagnitude diagrams with stellar evolution models we find satisfactory agreement at present the sspp underestimates feh for nearsolarmetallicity stars represented by members of m 67 in this study by about 03 dex | [['we', 'validate', 'the', 'performance', 'and', 'accuracy', 'of', 'the', 'current', 'segue', 'sloan', 'extension', 'for', 'galactic', 'understanding', 'and', 'exploration', 'stellar', 'parameter', 'pipeline', 'sspp', 'which', 'determines', 'stellar', 'atmospheric', 'parameters', 'effective', 'temperature', 'surface', 'gravity', 'and', 'metallicity', 'by', 'comparing', 'derived', 'overall', 'metallicities', 'and', 'radial', 'velocities', 'from', 'selected', 'likely', 'members', 'of', 'three', 'globular', 'clusters', 'm', '13', 'm', '15', 'and', 'm', '2', 'and', 'two', 'open', 'clusters', 'ngc', '2420', 'and', 'm', 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710.5779 | Geometric approach towards stable homotopy groups of spheres. The Hopf
invariant | We develop a geometric approach to stable homotopy groups of spheres in the
spirit of the work of Pontrjagin and Rokhlin. A new proof of the Hopf Invariant
One Theorem by J.F.Adams is obtained in all dimensions except 15 and 31.
To prove that the stable Hopf invariant H: \Pi_n \to Z/2 vanishes for n>31,
we apply methods of geometric topology. The Pontrjagin-Thom construction along
with Hirsch's compression lemma identify every \alpha \in \Pi_n with the framed
bordism class of a framed immersion of a closed n-manifold into R^{n+k}, for
any given k>0. Its self-intersection M projects to an immersion f: M \to R^n
which is framed by k copies of a line bundle \kappa. It is well-known that
H(\alpha) = <w_1(\kappa)^{n-k}, [M]>. The self-intersection N of f is framed by
k copies of a plane bundle with structure group D_4. We observe that H(\alpha)
= <w_1(i^*\kappa)^{n-2k}, [\bar N]>, where i immerses the double cover \bar N
of N into M. The hardest part of the proof is to show that, after modifying f
in its skew-framed bordism class, the classifying map g: N \to K(D_4,1) factors
through K(Z/4,1), provided that n=2^l-1, l>5 and n-2k=15. This is achieved by
analyzing immersions in the regular homotopy class of f that approximate the
composition of the classifying map M \to RP^{n-k}, the projection of RP^{n-k}
onto the join of copies of S^1/(Z/4) (the standard sphere), and an embedding of
this join in R^n. The last step is proved with the quaternions.
| math.AT math.GT | we develop a geometric approach to stable homotopy groups of spheres in the spirit of the work of pontrjagin and rokhlin a new proof of the hopf invariant one theorem by jfadams is obtained in all dimensions except 15 and 31 to prove that the stable hopf invariant h pi_n to z2 vanishes for n31 we apply methods of geometric topology the pontrjaginthom construction along with hirschs compression lemma identify every alpha in pi_n with the framed bordism class of a framed immersion of a closed nmanifold into rnk for any given k0 its selfintersection m projects to an immersion f m to rn which is framed by k copies of a line bundle kappa it is wellknown that halpha w_1kappank m the selfintersection n of f is framed by k copies of a plane bundle with structure group d_4 we observe that halpha w_1ikappan2k bar n where i immerses the double cover bar n of n into m the hardest part of the proof is to show that after modifying f in its skewframed bordism class the classifying map g n to kd_41 factors through kz41 provided that n2l1 l5 and n2k15 this is achieved by analyzing immersions in the regular homotopy class of f that approximate the composition of the classifying map m to rpnk the projection of rpnk onto the join of copies of s1z4 the standard sphere and an embedding of this join in rn the last step is proved with the quaternions | [['we', 'develop', 'a', 'geometric', 'approach', 'to', 'stable', 'homotopy', 'groups', 'of', 'spheres', 'in', 'the', 'spirit', 'of', 'the', 'work', 'of', 'pontrjagin', 'and', 'rokhlin', 'a', 'new', 'proof', 'of', 'the', 'hopf', 'invariant', 'one', 'theorem', 'by', 'jfadams', 'is', 'obtained', 'in', 'all', 'dimensions', 'except', '15', 'and', '31', 'to', 'prove', 'that', 'the', 'stable', 'hopf', 'invariant', 'h', 'pi_n', 'to', 'z2', 'vanishes', 'for', 'n31', 'we', 'apply', 'methods', 'of', 'geometric', 'topology', 'the', 'pontrjaginthom', 'construction', 'along', 'with', 'hirschs', 'compression', 'lemma', 'identify', 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710.578 | The SEGUE Stellar Parameter Pipeline. III. Comparison with
High-Resolution Spectroscopy of SDSS/SEGUE Field Stars | We report high-resolution spectroscopy of 125 field stars previously observed
as part of the Sloan Digital Sky Survey and its program for Galactic studies,
the Sloan Extension for Galactic Understanding and Exploration (SEGUE). These
spectra are used to measure radial velocities and to derive atmospheric
parameters, which we compare with those reported by the SEGUE Stellar Parameter
Pipeline (SSPP). The SSPP obtains estimates of these quantities based on SDSS
ugriz photometry and low-resolution (R = 2000) spectroscopy. For F- and G-type
stars observed with high signal-to-noise ratios (S/N), we empirically determine
the typical random uncertainties in the radial velocities, effective
temperatures, surface gravities, and metallicities delivered by the SSPP to be
2.4 km/s, 130 K (2.2%), 0.21 dex, and 0.11 dex, respectively, with systematic
uncertainties of a similar magnitude in the effective temperatures and
metallicities. We estimate random errors for lower S/N spectra based on
numerical simulations.
| astro-ph | we report highresolution spectroscopy of 125 field stars previously observed as part of the sloan digital sky survey and its program for galactic studies the sloan extension for galactic understanding and exploration segue these spectra are used to measure radial velocities and to derive atmospheric parameters which we compare with those reported by the segue stellar parameter pipeline sspp the sspp obtains estimates of these quantities based on sdss ugriz photometry and lowresolution r 2000 spectroscopy for f and gtype stars observed with high signaltonoise ratios sn we empirically determine the typical random uncertainties in the radial velocities effective temperatures surface gravities and metallicities delivered by the sspp to be 24 kms 130 k 22 021 dex and 011 dex respectively with systematic uncertainties of a similar magnitude in the effective temperatures and metallicities we estimate random errors for lower sn spectra based on numerical simulations | [['we', 'report', 'highresolution', 'spectroscopy', 'of', '125', 'field', 'stars', 'previously', 'observed', 'as', 'part', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'and', 'its', 'program', 'for', 'galactic', 'studies', 'the', 'sloan', 'extension', 'for', 'galactic', 'understanding', 'and', 'exploration', 'segue', 'these', 'spectra', 'are', 'used', 'to', 'measure', 'radial', 'velocities', 'and', 'to', 'derive', 'atmospheric', 'parameters', 'which', 'we', 'compare', 'with', 'those', 'reported', 'by', 'the', 'segue', 'stellar', 'parameter', 'pipeline', 'sspp', 'the', 'sspp', 'obtains', 'estimates', 'of', 'these', 'quantities', 'based', 'on', 'sdss', 'ugriz', 'photometry', 'and', 'lowresolution', 'r', '2000', 'spectroscopy', 'for', 'f', 'and', 'gtype', 'stars', 'observed', 'with', 'high', 'signaltonoise', 'ratios', 'sn', 'we', 'empirically', 'determine', 'the', 'typical', 'random', 'uncertainties', 'in', 'the', 'radial', 'velocities', 'effective', 'temperatures', 'surface', 'gravities', 'and', 'metallicities', 'delivered', 'by', 'the', 'sspp', 'to', 'be', '24', 'kms', '130', 'k', '22', '021', 'dex', 'and', '011', 'dex', 'respectively', 'with', 'systematic', 'uncertainties', 'of', 'a', 'similar', 'magnitude', 'in', 'the', 'effective', 'temperatures', 'and', 'metallicities', 'we', 'estimate', 'random', 'errors', 'for', 'lower', 'sn', 'spectra', 'based', 'on', 'numerical', 'simulations']] | [-0.016219321368836276, 0.09819086544751508, -0.04828801295681767, 0.06728315780661706, -0.12045839427625887, -0.05374040734820221, 0.10069205687853368, 0.42638716820949585, -0.13192777302313902, -0.42314714101487644, 0.03788377417168542, -0.3313601451626124, 0.012153331094265163, 0.26113011775066286, -0.06012290099130191, 0.014833943414013858, 0.07649359995601317, -0.10761155303302923, -0.09212861814829584, -0.30755344111064115, 0.2390724519452667, 0.04025720636526199, 0.1795010684195217, -0.09249279641686645, 0.06658066643803852, -0.10456730107049624, -0.12376740827840714, -0.014925163859590786, -0.27306951309094996, 0.04428061419039046, 0.253182559498994, 0.10829263824127512, 0.16974438062856254, -0.2597024897878913, -0.19442258284057248, 0.04047050075095198, 0.1964297112211432, 0.06297043585680961, -0.0730795565648132, -0.2749194842444299, 0.09068993263405888, -0.1647966494209656, -0.1699402441640627, -0.004581631099078038, 0.031137129203384514, 0.046153614367677336, -0.26161083728569395, 0.14157773515373812, -0.04829232254996896, 0.23680347220474623, -0.153970870238008, -0.24706561215802364, -0.10313928638878342, 0.07478401145600987, -0.028293071314692497, 0.067544399964789, 0.12572780425328609, -0.07108206423446026, 0.016809614917441998, 0.42001566779480815, -0.1489967289572097, 0.017256137723587965, 0.1653867568820715, -0.19205616150539342, -0.13575052277644306, 0.1179887795739501, 0.18426630333423205, 0.1379773564260351, -0.20554975449579627, 0.020779569470642568, 0.037673948643639786, 0.21151790454065147, 0.026469103162725494, 0.0751464282041288, 0.24657336807943728, 0.07962360009806205, 0.019574060025050827, 4.744278952760035e-05, -0.3251698097686143, 0.014864005942586554, -0.2068937138067431, -0.06123964832330199, -0.10014392804890258, 0.04907810575111884, -0.18544166582582314, -0.07928677189023528, 0.35062994031005934, 0.18081694680317115, 0.22761519541102782, 0.09523264341429513, 0.3454756178727297, 0.08588366738555647, 0.08854726581811931, 0.06882500301644666, 0.318487718752394, 0.21343252568805512, 0.0896485301806298, -0.2223239419343945, 0.02170601537234265, 0.04574343683644619] |
710.5781 | Vortex Redistribution below the First-Order Transition Temperature in
the \beta-Pyrochlore Superconductor KOs_2O_6 | A miniature Hall sensor array was used to detect magnetic induction locally
in the vortex states of the $\beta$-pyrochlore superconductor KOs$_2$O$_6$.
Below the first-order transition at $T_{\rm p}\sim 8$ K, which is associated
with a change in the rattling motion of K ions, the lower critical field and
the remanent magnetization both show a distinct decrease, suggesting that the
electron-phonon coupling is weakened below the transition. At high magnetic
fields, the local induction shows an unexpectedly large jump at $T_{\rm p}$
whose sign changes with position inside the sample. Our results demonstrate a
novel redistribution of vortices whose energy is reduced abruptly below the
first-order transition at $T_{\rm p}$.
| cond-mat.supr-con | a miniature hall sensor array was used to detect magnetic induction locally in the vortex states of the betapyrochlore superconductor kos_2o_6 below the firstorder transition at t_rm psim 8 k which is associated with a change in the rattling motion of k ions the lower critical field and the remanent magnetization both show a distinct decrease suggesting that the electronphonon coupling is weakened below the transition at high magnetic fields the local induction shows an unexpectedly large jump at t_rm p whose sign changes with position inside the sample our results demonstrate a novel redistribution of vortices whose energy is reduced abruptly below the firstorder transition at t_rm p | [['a', 'miniature', 'hall', 'sensor', 'array', 'was', 'used', 'to', 'detect', 'magnetic', 'induction', 'locally', 'in', 'the', 'vortex', 'states', 'of', 'the', 'betapyrochlore', 'superconductor', 'kos_2o_6', 'below', 'the', 'firstorder', 'transition', 'at', 't_rm', 'psim', '8', 'k', 'which', 'is', 'associated', 'with', 'a', 'change', 'in', 'the', 'rattling', 'motion', 'of', 'k', 'ions', 'the', 'lower', 'critical', 'field', 'and', 'the', 'remanent', 'magnetization', 'both', 'show', 'a', 'distinct', 'decrease', 'suggesting', 'that', 'the', 'electronphonon', 'coupling', 'is', 'weakened', 'below', 'the', 'transition', 'at', 'high', 'magnetic', 'fields', 'the', 'local', 'induction', 'shows', 'an', 'unexpectedly', 'large', 'jump', 'at', 't_rm', 'p', 'whose', 'sign', 'changes', 'with', 'position', 'inside', 'the', 'sample', 'our', 'results', 'demonstrate', 'a', 'novel', 'redistribution', 'of', 'vortices', 'whose', 'energy', 'is', 'reduced', 'abruptly', 'below', 'the', 'firstorder', 'transition', 'at', 't_rm', 'p']] | [-0.18551605283480282, 0.293145241370823, -0.018464077293975364, -0.013633721671494391, -0.042167135950075374, -0.13921335181477693, 0.08953499791563228, 0.33461995646699305, -0.2913917357255833, -0.33232059800535985, 0.020587450831086127, -0.31033675194880284, -0.043013300024690705, 0.1490038114027419, 0.054230242890707395, -0.04695986056649083, -0.06013098740181245, 0.088777532903563, -0.11437161590416975, -0.16766508541351885, 0.2535881218970369, 0.01683843258870851, 0.3115085440286256, 0.07514699854366823, 0.062105367252808234, -0.060438092671967016, 0.1450246258813956, 0.04978254641226809, -0.1418486437058731, -0.00942838468706105, 0.24364220568004552, -0.06117372731293697, 0.21970975572465484, -0.39005566758300986, -0.1760893010987191, 0.045291334640025376, 0.11449685853418953, 0.10421027954338853, -0.018976313892939904, -0.2771190615422135, 0.0864123921978091, -0.07905588970613589, -0.1319995722947044, -0.04726434126496315, 0.056913060393534734, -0.009171376286775147, -0.27856042889297145, 0.10047562547250215, 0.11138224715277245, 0.14314389468059627, -0.09075062900542392, -0.11703111379142475, -0.0658751332282234, 0.022351253410339902, 0.014719959060071942, 0.13612969023594207, 0.2018875885763368, -0.10345856141333186, -0.07629022167978483, 0.3054678514087146, -0.10849384074056641, -0.0007165022591692866, 0.169534234466766, -0.22181697334205613, -0.08749948397552201, 0.27718176275765133, 0.10603168414512631, 0.11441709827460828, -0.05249274299915777, 0.05777306127556335, 0.027196370953813605, 0.2007920882245953, 0.05245419271256125, -0.01849528169686641, 0.24936760213533674, 0.15632713789445, 0.06878199172419829, 0.14199108133784608, -0.14255774794028936, -0.02254226289202519, -0.3080100582553706, -0.14915563526708597, -0.2082091447034287, 0.031071365065445458, -0.08739894850661768, -0.16444116964970434, 0.3246152619233167, 0.13253960161632217, 0.23339956274246498, -0.012793989184551761, 0.21684119053646375, 0.17170493564154063, 0.09196577348464399, 0.10692925785813447, 0.2455709569365504, 0.17562771809859834, 0.15759076865031085, -0.35776659514361975, 0.078726297188892, -0.005257756205771221] |
710.5782 | Evolution of the Intracluster Medium Between 0.2 < z < 1.3 in a Chandra
Sample of 70 Galaxy Clusters | We study the evolution of the ICM with a sample of 70 galaxy clusters
spanning 0.18 < z < 1.24. We find that X-ray luminosity and ICM mass at a fixed
temperature evolve with redshift in a manner inconsistent with the standard
self-similar model of cluster formation. Both luminosity and ICM mass evolve
more slowly toward high redshift than the self-similar prediction. We find that
evolution in these two observables can be modeled by a simple evolution in the
cluster gas mass fraction. Excluding cluster cores from measurements results in
evolution more consistent with the self-similar model than when the entire
cluster is used, indicating that the fraction of clusters with cool cores
increases with time, or that cool cores become more developed over time in
those clusters that have them; this is supported by direct study of the
redshift dependence of central surface brightness, which increases in scatter
and magnitude at low redshift. We find that isophotal size-temperature
relations evolve differently according to which isophote is used, indicating
that the central and outer regions of cluster ICM evolve differently. We show
that constraints on the evolution of the gas fraction and isophotal
size-temperature relations constraints can be combined to measure cluster
distances, and thus to constrain cosmological parameters. There are indications
that scaling relation scatter decreases at higher redshift, suggesting that
merging is not the dominant source of cluster structural variation. Our results
provide constraints for simulations attempting to model cluster physics,
indicate some difficulties for cosmological studies that assume constant
cluster gas fractions, and point toward other potentially more robust uses of
clusters for cosmological applications. (Abridged)
| astro-ph | we study the evolution of the icm with a sample of 70 galaxy clusters spanning 018 z 124 we find that xray luminosity and icm mass at a fixed temperature evolve with redshift in a manner inconsistent with the standard selfsimilar model of cluster formation both luminosity and icm mass evolve more slowly toward high redshift than the selfsimilar prediction we find that evolution in these two observables can be modeled by a simple evolution in the cluster gas mass fraction excluding cluster cores from measurements results in evolution more consistent with the selfsimilar model than when the entire cluster is used indicating that the fraction of clusters with cool cores increases with time or that cool cores become more developed over time in those clusters that have them this is supported by direct study of the redshift dependence of central surface brightness which increases in scatter and magnitude at low redshift we find that isophotal sizetemperature relations evolve differently according to which isophote is used indicating that the central and outer regions of cluster icm evolve differently we show that constraints on the evolution of the gas fraction and isophotal sizetemperature relations constraints can be combined to measure cluster distances and thus to constrain cosmological parameters there are indications that scaling relation scatter decreases at higher redshift suggesting that merging is not the dominant source of cluster structural variation our results provide constraints for simulations attempting to model cluster physics indicate some difficulties for cosmological studies that assume constant cluster gas fractions and point toward other potentially more robust uses of clusters for cosmological applications abridged | [['we', 'study', 'the', 'evolution', 'of', 'the', 'icm', 'with', 'a', 'sample', 'of', '70', 'galaxy', 'clusters', 'spanning', '018', 'z', '124', 'we', 'find', 'that', 'xray', 'luminosity', 'and', 'icm', 'mass', 'at', 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710.5783 | Logarithmic singularities of Schwartz kernels and local invariants of
conformal and CR structures | This paper consists of two parts. In the first part we show that in odd
dimension, as well as in even dimension below the critical weight (i.e. half
the dimension), the logarithmic singularities of Schwartz kernels and Green
kernels of conformal invariant pseudodifferential operators are linear
combinations of Weyl conformal invariants, i.e., of local conformal invariants
arising from complete tensorial contractions of the covariant derivatives of
the Lorentz ambient metric of Fefferman-Graham. In even dimension and above the
critical weight exceptional local conformal invariants may further come into
play. As a consequence, this allows us to get invariant expressions for the
logarithmic singularities of the Green kernels of the GJMS operators (including
the Yamabe and Paneitz operators). In the second part, we prove analogues of
these results in CR geometry. Namely, we prove that the logarithmic
singularities of Schwartz kernels and Green kernels of CR invariant Heisenberg
pseudodifferential operators give rise to local CR invariants, and below the
critical weight are linear combinations of complete tensorial contractions of
the covariant derivatives of Fefferman's K\"alher-Lorentz ambient metric. As a
consequence, we can obtain invariant descriptions of the logarithmic
singularities of the Green kernels of the CR GJMS operators of Gover-Graham
(including the CR Yamabe operator of Jerison-Lee).
| math.DG math.AP | this paper consists of two parts in the first part we show that in odd dimension as well as in even dimension below the critical weight ie half the dimension the logarithmic singularities of schwartz kernels and green kernels of conformal invariant pseudodifferential operators are linear combinations of weyl conformal invariants ie of local conformal invariants arising from complete tensorial contractions of the covariant derivatives of the lorentz ambient metric of feffermangraham in even dimension and above the critical weight exceptional local conformal invariants may further come into play as a consequence this allows us to get invariant expressions for the logarithmic singularities of the green kernels of the gjms operators including the yamabe and paneitz operators in the second part we prove analogues of these results in cr geometry namely we prove that the logarithmic singularities of schwartz kernels and green kernels of cr invariant heisenberg pseudodifferential operators give rise to local cr invariants and below the critical weight are linear combinations of complete tensorial contractions of the covariant derivatives of feffermans kalherlorentz ambient metric as a consequence we can obtain invariant descriptions of the logarithmic singularities of the green kernels of the cr gjms operators of govergraham including the cr yamabe operator of jerisonlee | [['this', 'paper', 'consists', 'of', 'two', 'parts', 'in', 'the', 'first', 'part', 'we', 'show', 'that', 'in', 'odd', 'dimension', 'as', 'well', 'as', 'in', 'even', 'dimension', 'below', 'the', 'critical', 'weight', 'ie', 'half', 'the', 'dimension', 'the', 'logarithmic', 'singularities', 'of', 'schwartz', 'kernels', 'and', 'green', 'kernels', 'of', 'conformal', 'invariant', 'pseudodifferential', 'operators', 'are', 'linear', 'combinations', 'of', 'weyl', 'conformal', 'invariants', 'ie', 'of', 'local', 'conformal', 'invariants', 'arising', 'from', 'complete', 'tensorial', 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710.5784 | Density profiles of Ar adsorbed in slits of CO_2: spontaneous symmetry
breaking | A recently reported symmetry breaking of density profiles of fluid argon
confined by two parallel solid walls of carbon dioxide is studied. The
calculations are performed in the framework of a nonlocal density functional
theory. It is shown that the existence of such asymmetrical solutions is
restricted to a special choice for the adsorption potential, where the
attraction of the solid-fluid interaction is reduced by the introduction of a
hard-wall repulsion. The behavior as a function of the slit's width is also
discussed. All the results are placed in the context of the current knowledge
on this matter.
| cond-mat.soft | a recently reported symmetry breaking of density profiles of fluid argon confined by two parallel solid walls of carbon dioxide is studied the calculations are performed in the framework of a nonlocal density functional theory it is shown that the existence of such asymmetrical solutions is restricted to a special choice for the adsorption potential where the attraction of the solidfluid interaction is reduced by the introduction of a hardwall repulsion the behavior as a function of the slits width is also discussed all the results are placed in the context of the current knowledge on this matter | [['a', 'recently', 'reported', 'symmetry', 'breaking', 'of', 'density', 'profiles', 'of', 'fluid', 'argon', 'confined', 'by', 'two', 'parallel', 'solid', 'walls', 'of', 'carbon', 'dioxide', 'is', 'studied', 'the', 'calculations', 'are', 'performed', 'in', 'the', 'framework', 'of', 'a', 'nonlocal', 'density', 'functional', 'theory', 'it', 'is', 'shown', 'that', 'the', 'existence', 'of', 'such', 'asymmetrical', 'solutions', 'is', 'restricted', 'to', 'a', 'special', 'choice', 'for', 'the', 'adsorption', 'potential', 'where', 'the', 'attraction', 'of', 'the', 'solidfluid', 'interaction', 'is', 'reduced', 'by', 'the', 'introduction', 'of', 'a', 'hardwall', 'repulsion', 'the', 'behavior', 'as', 'a', 'function', 'of', 'the', 'slits', 'width', 'is', 'also', 'discussed', 'all', 'the', 'results', 'are', 'placed', 'in', 'the', 'context', 'of', 'the', 'current', 'knowledge', 'on', 'this', 'matter']] | [-0.13465971998960655, 0.1434482493608886, -0.07344352265306729, 0.03778021798317074, -0.006514883723718171, -0.11226545171146947, 0.003334081697287228, 0.3527500434512539, -0.2195750544303838, -0.28458448621083277, 0.06549179560400317, -0.28041823254185444, -0.12434710656786907, 0.10329126412457577, 0.04088617861746069, 0.04981591327267946, 0.014572842745110393, 0.036301655576051195, -0.06960744188138646, -0.19610800828347552, 0.29828112956602126, 0.02518380484163609, 0.3022037914631014, 0.13374652795740688, 0.03275571333016364, -0.013952804192406486, 0.024378548471295104, 0.057156017667861006, -0.16163671492132398, 0.10448375022827591, 0.20535944680248538, 0.01223797049392395, 0.26222508531824057, -0.45646103378385305, -0.25004032501304635, 0.04252862783947161, 0.10530549099630847, 0.1097919536916045, -0.0919507606232976, -0.28857256455004826, 0.02995503710924971, -0.16091565169127925, -0.16125527496582695, -0.006614864357195946, 0.032269402160024156, 0.062406207746065846, -0.24587050526003754, 0.08069851757615225, 0.04242236869960871, 0.01656571201846771, -0.08485437435370025, -0.10190612009289313, -0.05900469280741349, 0.0565984300147666, 0.06511831040047489, 0.015351501792403204, 0.1690363902040301, -0.1566170923778911, -0.04148733955617918, 0.41467978839515424, -0.06638570293090401, -0.22633396226874725, 0.19020669980031646, -0.11001676139991959, -0.08392954795212694, 0.14584555889940726, 0.10912672275373218, 0.12775945158827365, -0.16465617201234006, 0.1352717706135341, -0.07031882706998695, 0.13813734975434383, 0.08950821480390672, -0.02450687458681665, 0.20723995058951727, 0.22702425473122573, 0.044773927262547066, 0.15036483198565867, -0.07189279303135236, -0.14637526937484818, -0.32461244430469005, -0.15428743612648424, -0.2181524517197561, -0.0023413233563532028, -0.05728735684949372, -0.18775803440016436, 0.38914725742402617, 0.07704929613189924, 0.1687635647142496, -0.033187219663998305, 0.2651175840434675, 0.1171127093934492, 0.06832511141855858, -0.0071675333013872106, 0.2777108255992358, 0.17110924962290316, 0.08607560408073572, -0.2351532534705665, 0.07219639441297789, 0.03382107194712652] |
710.5785 | On extremely amenable groups of homeomorphisms | A topological group $G$ is {\em extremely amenable} if every compact
$G$-space has a $G$-fixed point. Let $X$ be compact and
$G\subset{\mathrm{Homeo}} (X)$. We prove that the following are equivalent: (1)
$G$ is extremely amenable; (2) every minimal closed $G$-invariant subset of
$\exp R$ is a singleton, where $R$ is the closure of the set of all graphs of
$g\in G$ in the space $\exp (X^2)$ ($\exp$ stands for the space of closed
subsets); (3) for each $n=1,2,...$ there is a closed $G$-invariant subset $Y_n$
of $(\exp X)^n$ such that $\cup_{n=1}^\infty Y_n$ contains arbitrarily fine
covers of $X$ and for every $n\ge 1$ every minimal closed $G$-invariant subset
of $\exp Y_n$ is a singleton. This yields an alternative proof of Pestov's
theorem that the group of all order-preserving self-homeomorphisms of the
Cantor middle-third set (or of the interval $[0,1]$) is extremely amenable.
| math.DS math.GN | a topological group g is em extremely amenable if every compact gspace has a gfixed point let x be compact and gsubsetmathrmhomeo x we prove that the following are equivalent 1 g is extremely amenable 2 every minimal closed ginvariant subset of exp r is a singleton where r is the closure of the set of all graphs of gin g in the space exp x2 exp stands for the space of closed subsets 3 for each n12 there is a closed ginvariant subset y_n of exp xn such that cup_n1infty y_n contains arbitrarily fine covers of x and for every nge 1 every minimal closed ginvariant subset of exp y_n is a singleton this yields an alternative proof of pestovs theorem that the group of all orderpreserving selfhomeomorphisms of the cantor middlethird set or of the interval 01 is extremely amenable | [['a', 'topological', 'group', 'g', 'is', 'em', 'extremely', 'amenable', 'if', 'every', 'compact', 'gspace', 'has', 'a', 'gfixed', 'point', 'let', 'x', 'be', 'compact', 'and', 'gsubsetmathrmhomeo', 'x', 'we', 'prove', 'that', 'the', 'following', 'are', 'equivalent', '1', 'g', 'is', 'extremely', 'amenable', '2', 'every', 'minimal', 'closed', 'ginvariant', 'subset', 'of', 'exp', 'r', 'is', 'a', 'singleton', 'where', 'r', 'is', 'the', 'closure', 'of', 'the', 'set', 'of', 'all', 'graphs', 'of', 'gin', 'g', 'in', 'the', 'space', 'exp', 'x2', 'exp', 'stands', 'for', 'the', 'space', 'of', 'closed', 'subsets', '3', 'for', 'each', 'n12', 'there', 'is', 'a', 'closed', 'ginvariant', 'subset', 'y_n', 'of', 'exp', 'xn', 'such', 'that', 'cup_n1infty', 'y_n', 'contains', 'arbitrarily', 'fine', 'covers', 'of', 'x', 'and', 'for', 'every', 'nge', '1', 'every', 'minimal', 'closed', 'ginvariant', 'subset', 'of', 'exp', 'y_n', 'is', 'a', 'singleton', 'this', 'yields', 'an', 'alternative', 'proof', 'of', 'pestovs', 'theorem', 'that', 'the', 'group', 'of', 'all', 'orderpreserving', 'selfhomeomorphisms', 'of', 'the', 'cantor', 'middlethird', 'set', 'or', 'of', 'the', 'interval', '01', 'is', 'extremely', 'amenable']] | [-0.24942781282256224, 0.13163384819688093, -0.07063382686631355, 0.03430938150434356, -0.0494095735152119, -0.1687984383897856, 0.041368581153385875, 0.37495474579211857, -0.28682721620425583, -0.14486457919036702, 0.09325559212343901, -0.3452399572956243, -0.05983635260823316, 0.19725265134225733, -0.1133027595139408, -0.028986894944682717, 0.0393709948020322, 0.17028454912693372, -0.06527513203566611, -0.2406168692013515, 0.3202448087328646, -0.13340783379971982, 0.13225541501971227, -0.0012326011533981987, 0.16067455954117968, -0.020024833881429265, 0.022804236844448107, 0.01463037464210564, -0.1725483823824886, 0.08498271831776946, 0.28029257095019733, 0.17286029173493653, 0.28770535479166676, -0.2846284847199318, -0.10746562405090247, 0.24877457120954724, 0.13353495414568378, -0.1112623958416017, -0.00404497601141754, -0.2241133550248508, 0.18935662668331393, -0.12747562149805683, -0.12800195394083858, -0.051512009943170206, 0.21522005920165352, -0.006361085941482867, -0.34472743761559416, -0.029771225147747566, 0.12831957019599421, 0.06746311043721757, 0.03980875264720193, -0.12294920477018292, -0.06406363506269241, 0.0653668738219754, -0.07076626523963309, 0.20665465764052768, 0.05139338354347274, 0.005073826335345594, -0.05325234323141298, 0.4162866678621088, -0.08292937439733318, -0.22188061216979155, 0.07077448627096601, -0.19014533599173383, -0.19821050576533059, 0.16868501869362912, 0.014014135519599742, 0.1789123395279083, -0.073761718114838, 0.3244801462752678, -0.18468527205155363, 0.162950188108828, 0.047143776511906516, 0.02127896048810466, 0.11908845687950297, 0.15220032922557689, 0.14093819094455934, 0.060510980340352814, 0.011919911561666855, 0.08806454469449818, -0.4180937127742384, -0.1586100706730836, -0.17868053086068747, 0.2156171129949923, -0.15999109169913156, -0.2215964275179431, 0.3015353678792183, 0.03258150405849197, 0.16649654020023133, 0.1032309071992391, 0.14005113106686623, 0.05068250372527733, -0.016815361749779965, 0.18557153420323239, 0.020959049316921403, 0.15047015334213418, -0.12072371744351196, -0.11617175753926859, -0.011578239134645887, 0.15282044870047165] |
710.5786 | Electron polarizability of crystalline solids in quantizing magnetic
fields and topological gap numbers | A theory of the static electron polarizability of crystals whose energy
spectrum is modified by quantizing magnetic fields is presented. It is argued
that The polarizability is strongly affected by non-dissipative Hall currents
induced by the presence of crossed electric and magnetic fields: these can even
change its sign. Results are illustrated in detail for a two dimensional square
lattice. The polarizability and the Hall conductivity are respectively linked
to the two topological quantum numbers entering the so--called Diophantine
equation. These numbers could in principle be detected in actual experiments.
| cond-mat.mes-hall | a theory of the static electron polarizability of crystals whose energy spectrum is modified by quantizing magnetic fields is presented it is argued that the polarizability is strongly affected by nondissipative hall currents induced by the presence of crossed electric and magnetic fields these can even change its sign results are illustrated in detail for a two dimensional square lattice the polarizability and the hall conductivity are respectively linked to the two topological quantum numbers entering the socalled diophantine equation these numbers could in principle be detected in actual experiments | [['a', 'theory', 'of', 'the', 'static', 'electron', 'polarizability', 'of', 'crystals', 'whose', 'energy', 'spectrum', 'is', 'modified', 'by', 'quantizing', 'magnetic', 'fields', 'is', 'presented', 'it', 'is', 'argued', 'that', 'the', 'polarizability', 'is', 'strongly', 'affected', 'by', 'nondissipative', 'hall', 'currents', 'induced', 'by', 'the', 'presence', 'of', 'crossed', 'electric', 'and', 'magnetic', 'fields', 'these', 'can', 'even', 'change', 'its', 'sign', 'results', 'are', 'illustrated', 'in', 'detail', 'for', 'a', 'two', 'dimensional', 'square', 'lattice', 'the', 'polarizability', 'and', 'the', 'hall', 'conductivity', 'are', 'respectively', 'linked', 'to', 'the', 'two', 'topological', 'quantum', 'numbers', 'entering', 'the', 'socalled', 'diophantine', 'equation', 'these', 'numbers', 'could', 'in', 'principle', 'be', 'detected', 'in', 'actual', 'experiments']] | [-0.22577484532052444, 0.27144315539238356, -0.019534461050190858, 0.0358012390581684, -0.05896709569626384, -0.10845311071413259, -0.0299660156480968, 0.3509037002093262, -0.2719996786314166, -0.29315088372677567, 0.061036946263629946, -0.27945210873666737, -0.15772619058585002, 0.21439028220872083, 0.01751824156898591, 0.012949705992489019, -0.022030627977154736, 0.04950381776110994, -0.042440378883232675, -0.23819079431705176, 0.319909369536779, 0.0031498723133053215, 0.27590926700633844, 0.10643672919573469, 0.03474776801756686, -0.008490184283194443, 0.028871289966627956, 0.14102509833044477, -0.07248238623182665, 0.07677151904337937, 0.21711072544049886, -0.044941373645431465, 0.16512794405118458, -0.4368317130125231, -0.1822886659970714, 0.03510684395312435, 0.08046111008669767, 0.11520853727642033, -0.05439796577104264, -0.3029854528605938, 0.049999696156010034, -0.14098992621940043, -0.15738844787184564, -0.12089011972356174, 0.009609873913642432, 0.016143091281669006, -0.25653005074709656, 0.11462527718136294, 0.060428662254061134, 0.048848302558892304, -0.09148839754699212, -0.14160528518259524, -0.04606822631839249, 0.05850248585144679, 0.0571139171506123, 0.010144211750270592, 0.17225299997048246, -0.15912359216769498, -0.1510495964437723, 0.39609052373303305, -0.03454137032903317, -0.2056952868640009, 0.12005441872299545, -0.21351644543206527, -0.055779134202748534, 0.1608604857361772, 0.09310215631913808, 0.09127899782421688, -0.1277164331637323, 0.11057302158765701, -0.044627170378549234, 0.12888700419829952, 0.085417366739259, 0.016941466022075878, 0.26899461522698404, 0.07989682669544386, -0.0034226386859599086, 0.14914721271876866, -0.08380936441632608, -0.08279201508396201, -0.2636778503449427, -0.13617875918539035, -0.24805031801677413, 0.11508990122626225, -0.04034909858956881, -0.15932073608661693, 0.3801380700742205, 0.14115997083782633, 0.10943112327820725, -0.0903675991938346, 0.28879613770792883, 0.19990205680951476, 0.06655027395528224, 0.02554895533248782, 0.28112484322239956, 0.23178419820291715, 0.09064339220316874, -0.2831785247868134, 0.015657822472146816, 0.07059302001984583] |
710.5787 | The Selberg Trace Formula for Hecke operators on cocompact Kleinian
groups | We compute the Selberg trace formula for Hecke operators (also called the
trace formula for modular correspondences) in the context of cocompact Kleinian
groups with finite-dimentional unitary representations. We give some
applications to the distribution of Hecke eigenvalues, and give an analogue of
Huber's theorem.
| math.NT math.SP | we compute the selberg trace formula for hecke operators also called the trace formula for modular correspondences in the context of cocompact kleinian groups with finitedimentional unitary representations we give some applications to the distribution of hecke eigenvalues and give an analogue of hubers theorem | [['we', 'compute', 'the', 'selberg', 'trace', 'formula', 'for', 'hecke', 'operators', 'also', 'called', 'the', 'trace', 'formula', 'for', 'modular', 'correspondences', 'in', 'the', 'context', 'of', 'cocompact', 'kleinian', 'groups', 'with', 'finitedimentional', 'unitary', 'representations', 'we', 'give', 'some', 'applications', 'to', 'the', 'distribution', 'of', 'hecke', 'eigenvalues', 'and', 'give', 'an', 'analogue', 'of', 'hubers', 'theorem']] | [-0.13481510197743773, 0.025219732707972235, -0.18505138620226222, 0.14523035728118636, -0.10537192416483197, -0.11135501077991318, -0.014006934213367376, 0.319493761963465, -0.2917553104290908, -0.19283574516884983, 0.09648913380806334, -0.26668349166654726, -0.1942909650758586, 0.24576667668721217, -0.19504190621558914, 0.0201563898219981, 0.0575822821860625, 0.11975831881863996, -0.1769593654263934, -0.24100717754018577, 0.4301000247624787, -0.006724211599000476, 0.19495743203548377, 0.10527553017759188, 0.04535640160479075, 0.08545790766154161, -0.03112022648565471, -0.2095133573324843, -0.1580689023440672, 0.2085121237164871, 0.35720736372538586, 0.059971533408811825, 0.16578968114283105, -0.3855466826194474, -0.09826347015967424, 0.2495197537355125, 0.13678201525048775, -0.012865188981364057, -0.07171495777385478, -0.33770392860539933, 0.04575896098024466, -0.23095173761248589, -0.21115017618814652, -0.13127982770939442, 0.06179817279123447, -0.024617129280655223, -0.2668858314441009, 0.07213823889337205, 0.11202566765926102, 0.17042210075834935, -0.1338759296340868, -0.10140500710853799, 0.07262465573677962, 0.120243329544213, -0.023237428543242542, -0.0670511923910288, 0.09885283196556637, -0.10141946764832194, -0.13055247559466146, 0.344243094494397, -0.0687511656645008, -0.21725346992554312, 0.07214961679313671, -0.17023060568185014, -0.22583173860965128, 0.03880804087120024, 0.10109954136847095, 0.15514746646989475, -0.04614959312179549, 0.18915283603630748, -0.15591848144223067, -0.029662725962804292, 0.1380816739348864, 0.017804111227054487, 0.07282271188027649, -0.06847024141726168, 0.0968979026868262, 0.2050546242389828, 0.03057879260317846, -0.011628187049857595, -0.39867158674381, -0.28929915285499935, -0.15281604752685365, 0.0955639873652465, -0.15937085967181536, -0.25278740541861305, 0.37534182891249657, 0.09238512618255547, 0.18888822303746233, 0.23356476667421786, 0.14128533234311777, 0.18895702207439832, 0.12385127043605527, 0.04978367214260453, 0.010187890955421608, 0.3188345185057683, -0.08037411252206023, -0.14736580916426398, -0.06153180796272037, 0.3246536500201645] |
710.5788 | Variations in Stellar Clustering with Environment: Dispersed Star
Formation and the Origin of Faint Fuzzies | The observed increase in star formation efficiency with average cloud
density, from several percent in whole giant molecular clouds to ~30 or more in
cluster-forming cores, can be understood as the result of hierarchical cloud
structure if there is a characteristic density as which individual stars become
well defined. Also in this case, the efficiency of star formation increases
with the dispersion of the density probability distribution function (pdf).
Models with log-normal pdf's illustrate these effects. The difference between
star formation in bound clusters and star formation in loose groupings is
attributed to a difference in cloud pressure, with higher pressures forming
more tightly bound clusters. This correlation accounts for the observed
increase in clustering fraction with star formation rate and with the
observation of Scaled OB Associations in low pressure environments. ``Faint
fuzzie'' star clusters, which are bound but have low densities, can form in
regions with high Mach numbers and low background tidal forces. The proposal by
Burkert, Brodie & Larsen (2005) that faint fuzzies form at large radii in
galactic collisional rings, satisfies these constraints.
| astro-ph | the observed increase in star formation efficiency with average cloud density from several percent in whole giant molecular clouds to 30 or more in clusterforming cores can be understood as the result of hierarchical cloud structure if there is a characteristic density as which individual stars become well defined also in this case the efficiency of star formation increases with the dispersion of the density probability distribution function pdf models with lognormal pdfs illustrate these effects the difference between star formation in bound clusters and star formation in loose groupings is attributed to a difference in cloud pressure with higher pressures forming more tightly bound clusters this correlation accounts for the observed increase in clustering fraction with star formation rate and with the observation of scaled ob associations in low pressure environments faint fuzzie star clusters which are bound but have low densities can form in regions with high mach numbers and low background tidal forces the proposal by burkert brodie larsen 2005 that faint fuzzies form at large radii in galactic collisional rings satisfies these constraints | [['the', 'observed', 'increase', 'in', 'star', 'formation', 'efficiency', 'with', 'average', 'cloud', 'density', 'from', 'several', 'percent', 'in', 'whole', 'giant', 'molecular', 'clouds', 'to', '30', 'or', 'more', 'in', 'clusterforming', 'cores', 'can', 'be', 'understood', 'as', 'the', 'result', 'of', 'hierarchical', 'cloud', 'structure', 'if', 'there', 'is', 'a', 'characteristic', 'density', 'as', 'which', 'individual', 'stars', 'become', 'well', 'defined', 'also', 'in', 'this', 'case', 'the', 'efficiency', 'of', 'star', 'formation', 'increases', 'with', 'the', 'dispersion', 'of', 'the', 'density', 'probability', 'distribution', 'function', 'pdf', 'models', 'with', 'lognormal', 'pdfs', 'illustrate', 'these', 'effects', 'the', 'difference', 'between', 'star', 'formation', 'in', 'bound', 'clusters', 'and', 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710.5789 | The Proto-neutron Star Phase of the Collapsar Model and the Route to
Long-soft Gamma-ray Bursts and Hypernovae | Recent stellar evolutionary calculations of low-metallicity massive
fast-rotating main-sequence stars yield iron cores at collapse endowed with
high angular momentum. It is thought that high angular momentum and black hole
formation are critical ingredients of the collapsar model of long-soft
gamma-ray bursts (GRBs). Here, we present 2D multi-group,
flux-limited-diffusion MHD simulations of the collapse, bounce, and immediate
post-bounce phases of a 35-Msun collapsar-candidate model of Woosley & Heger.
We find that, provided the magneto-rotational instability (MRI) operates in the
differentially-rotating surface layers of the millisecond-period neutron star,
a magnetically-driven explosion ensues during the proto-neutron star phase, in
the form of a baryon-loaded non-relativistic jet, and that a black hole,
central to the collapsar model, does not form. Paradoxically, and although much
uncertainty surrounds stellar mass loss, angular momentum transport, magnetic
fields, and the MRI, current models of chemically homogeneous evolution at low
metallicity yield massive stars with iron cores that may have too much angular
momentum to avoid a magnetically-driven, hypernova-like, explosion in the
immediate post-bounce phase. We surmise that fast rotation in the iron core may
inhibit, rather than enable, collapsar formation, which requires a large
angular momentum not in the core but above it. Variations in the angular
momentum distribution of massive stars at core collapse might explain both the
diversity of Type Ic supernovae/hypernovae and their possible association with
a GRB. A corollary might be that, rather than the progenitor mass, the angular
momentum distribution, through its effect on magnetic field amplification,
distinguishes these outcomes.
| astro-ph | recent stellar evolutionary calculations of lowmetallicity massive fastrotating mainsequence stars yield iron cores at collapse endowed with high angular momentum it is thought that high angular momentum and black hole formation are critical ingredients of the collapsar model of longsoft gammaray bursts grbs here we present 2d multigroup fluxlimiteddiffusion mhd simulations of the collapse bounce and immediate postbounce phases of a 35msun collapsarcandidate model of woosley heger we find that provided the magnetorotational instability mri operates in the differentiallyrotating surface layers of the millisecondperiod neutron star a magneticallydriven explosion ensues during the protoneutron star phase in the form of a baryonloaded nonrelativistic jet and that a black hole central to the collapsar model does not form paradoxically and although much uncertainty surrounds stellar mass loss angular momentum transport magnetic fields and the mri current models of chemically homogeneous evolution at low metallicity yield massive stars with iron cores that may have too much angular momentum to avoid a magneticallydriven hypernovalike explosion in the immediate postbounce phase we surmise that fast rotation in the iron core may inhibit rather than enable collapsar formation which requires a large angular momentum not in the core but above it variations in the angular momentum distribution of massive stars at core collapse might explain both the diversity of type ic supernovaehypernovae and their possible association with a grb a corollary might be that rather than the progenitor mass the angular momentum distribution through its effect on magnetic field amplification distinguishes these outcomes | [['recent', 'stellar', 'evolutionary', 'calculations', 'of', 'lowmetallicity', 'massive', 'fastrotating', 'mainsequence', 'stars', 'yield', 'iron', 'cores', 'at', 'collapse', 'endowed', 'with', 'high', 'angular', 'momentum', 'it', 'is', 'thought', 'that', 'high', 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710.579 | On uniform continuity of Cauchy's function and uniform convergence of
Cauchy's integral formula with applications | This study is on Cauchy's function $f(z)$ and its integral, $J[f(z)]\equiv
(2\pi i)^{-1}\oint_C f(t)dt/(t-z)$ taken along a closed simple contour $C$, in
regard to their comprehensive properties over the entire $z=x+iy$ plane
consisted of the open domain ${\cal D}^+$ bounded by $C$ and the open domain
${\cal D}^-$ outside $C$. (i) With $f(z)$ assumed to be $C^n$ ($n$ times
continuously differentiable) $\forall z\in {\cal D}^+$ and in a neighborhood of
$C$, $f(z)$ and its derivatives $f^{(n)}(z)$ are proved uniformly continuous in
the closed domain $\bar{{\cal D}^+}=[\cal D^++C]$. (ii) Under this new
assumption, integral $J[f(z)]$ and its derivatives $J_n[f(z)]=d^n J[f(z)]/dz^n$
are proved to converge uniformly in $\bar{{\cal D}^+}$, thereby rendering the
integral formula valid over the entire $z$-plane. (iii) The same claims (as for
$f(z)$ and $J[f(z)]$) are shown extended to hold for the complement function
$F(z)$, defined to be $C^n \forall z\in \bar{{\cal D}^-}=[\cal D^-+C]$, in
$\bar{{\cal D}^-}$. (iv) Further, the singularity distribution of $f(z)$ in
${\cal D}^-$ (existing unless $f(z)\equiv$ const.in the $z$-plane) is
elucidated by considering the direct problem exemplified with several typical
singularities prescribed in ${\cal D}^-$. (v) The uniform convergence theorems
for $f(z)$ and $F(z)$ shown for contour $C$ of arbitrary shape are adapted to
apply to special domains in the upper or lower half $z$-planes and those inside
and outside the unit circle $|z|=1$ to achieve the generalized Hilbert
transforms for these cases. (vi) Finally, an unsolved inverse problem to
determine all the singularities of Cauchy function $f(z)$ in domain ${\cal
D}^-$ is presented for resolution as a conjecture.
| math.CV math-ph math.MP | this study is on cauchys function fz and its integral jfzequiv 2pi i1oint_c ftdttz taken along a closed simple contour c in regard to their comprehensive properties over the entire zxiy plane consisted of the open domain cal d bounded by c and the open domain cal d outside c i with fz assumed to be cn n times continuously differentiable forall zin cal d and in a neighborhood of c fz and its derivatives fnz are proved uniformly continuous in the closed domain barcal dcal dc ii under this new assumption integral jfz and its derivatives j_nfzdn jfzdzn are proved to converge uniformly in barcal d thereby rendering the integral formula valid over the entire zplane iii the same claims as for fz and jfz are shown extended to hold for the complement function fz defined to be cn forall zin barcal dcal dc in barcal d iv further the singularity distribution of fz in cal d existing unless fzequiv constin the zplane is elucidated by considering the direct problem exemplified with several typical singularities prescribed in cal d v the uniform convergence theorems for fz and fz shown for contour c of arbitrary shape are adapted to apply to special domains in the upper or lower half zplanes and those inside and outside the unit circle z1 to achieve the generalized hilbert transforms for these cases vi finally an unsolved inverse problem to determine all the singularities of cauchy function fz in domain cal d is presented for resolution as a conjecture | [['this', 'study', 'is', 'on', 'cauchys', 'function', 'fz', 'and', 'its', 'integral', 'jfzequiv', '2pi', 'i1oint_c', 'ftdttz', 'taken', 'along', 'a', 'closed', 'simple', 'contour', 'c', 'in', 'regard', 'to', 'their', 'comprehensive', 'properties', 'over', 'the', 'entire', 'zxiy', 'plane', 'consisted', 'of', 'the', 'open', 'domain', 'cal', 'd', 'bounded', 'by', 'c', 'and', 'the', 'open', 'domain', 'cal', 'd', 'outside', 'c', 'i', 'with', 'fz', 'assumed', 'to', 'be', 'cn', 'n', 'times', 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710.5791 | Topological physics in the standard model and beyond | Topological interactions are an essential ingredient for building consistent
low-energy theories of fermions, gauge fields and Nambu-Goldstone bosons in the
absence of explicit UV completions, such as in Little Higgs models. These
interactions are also a probe of UV completion physics that may be out of
direct experimental reach. The technology of topological, or Wess-Zumino-Witten
interactions is described, using explicit examples in the standard model and in
Little Higgs models. The construction of a simple topological action on
SU(3)/SU(2) is described. Inconsistencies in some popular Little Higgs models
are pointed out.
| hep-ph | topological interactions are an essential ingredient for building consistent lowenergy theories of fermions gauge fields and nambugoldstone bosons in the absence of explicit uv completions such as in little higgs models these interactions are also a probe of uv completion physics that may be out of direct experimental reach the technology of topological or wesszuminowitten interactions is described using explicit examples in the standard model and in little higgs models the construction of a simple topological action on su3su2 is described inconsistencies in some popular little higgs models are pointed out | [['topological', 'interactions', 'are', 'an', 'essential', 'ingredient', 'for', 'building', 'consistent', 'lowenergy', 'theories', 'of', 'fermions', 'gauge', 'fields', 'and', 'nambugoldstone', 'bosons', 'in', 'the', 'absence', 'of', 'explicit', 'uv', 'completions', 'such', 'as', 'in', 'little', 'higgs', 'models', 'these', 'interactions', 'are', 'also', 'a', 'probe', 'of', 'uv', 'completion', 'physics', 'that', 'may', 'be', 'out', 'of', 'direct', 'experimental', 'reach', 'the', 'technology', 'of', 'topological', 'or', 'wesszuminowitten', 'interactions', 'is', 'described', 'using', 'explicit', 'examples', 'in', 'the', 'standard', 'model', 'and', 'in', 'little', 'higgs', 'models', 'the', 'construction', 'of', 'a', 'simple', 'topological', 'action', 'on', 'su3su2', 'is', 'described', 'inconsistencies', 'in', 'some', 'popular', 'little', 'higgs', 'models', 'are', 'pointed', 'out']] | [-0.10987867507316008, 0.20317660685475777, -0.05439370306615544, 0.1876235786380226, -0.09627853059670427, -0.19289205494531236, -0.004397510489510311, 0.3680989014824013, -0.1993588056302742, -0.2790651177311992, 0.07306319260637142, -0.2804315503543386, -0.16340321081608616, 0.17150035354687454, -0.029378920276700467, 0.03654057677876163, 0.015355132509964509, 0.03093711385032633, -0.055726225925404785, -0.2727844861878471, 0.2830512126457396, 0.04773443693724962, 0.21747880763691532, 0.08547428419690702, 0.04778174134892422, -0.00924952744229973, -0.05402446128325639, -0.03796101456692258, -0.09753723619264297, 0.07474625375183237, 0.23464275366695603, 0.040370623931636686, 0.14877054721608265, -0.4224403694190167, -0.2438437943381979, 0.12407409885877764, 0.15716331658352697, 0.12903844307248408, -0.07304041707954768, -0.31196853393627394, 0.043262805472445355, -0.19376353460561055, -0.10738600908834897, -0.12388572069703714, -0.04329067180547249, -0.08275412563439254, -0.2460682817151422, 0.03755810184648598, 0.00940938157945421, 0.12742528003630238, -0.030384490721869273, -0.09985034879051395, -0.08476074744568585, 0.07437639482892476, 0.1143660005457075, 0.023287057206239345, 0.11350442342214533, -0.276721122510895, -0.17718654962072333, 0.42175569100776217, -0.09319010631764656, -0.17438131715375726, 0.2515081514061971, -0.0509532646821034, -0.16833618925474994, 0.09512359002134302, 0.11639036643472346, 0.0778419533437425, -0.13861534621689345, 0.22139811632367348, -0.058979413794496886, 0.1273522050232514, 0.00618972777194538, 0.08626263959660799, 0.30664011029587995, 0.16822280554653524, 0.002287329113172306, 0.061152019193856516, 0.05214461859745475, -0.12491268533599245, -0.4271181412604075, -0.1425718470802147, -0.1062785496955717, 0.07820671606696324, -0.06461516914922479, -0.16278288168525631, 0.3836867843887636, 0.15443428892995342, 0.20321220598198925, -0.021678547241858075, 0.24628693861042528, 0.08096962797603888, 0.12229295788271415, -0.02813862581867827, 0.29372046296491167, 0.14805781436766816, 0.012413094598022137, -0.14404531964676578, -0.043007079137049126, 0.12721482092248543] |
710.5792 | Light-Cone Coordinate System in General Relativity | If there is a null gradient field in 1+3 dimensional space-time, we can set
up a kind of light-cone coordinate system in the space-time. In such coordinate
system, the metric takes a simple form, which is much helpful for simplifying
and solving the Einstein's field equation. This light-cone coordinate system
has wonderful properties and has been widely used in astrophysics to calculate
parameters. In this paper, we give a detailed discussion for the structure of
space-time with light-cone coordinate system. We derive the conditions for
existence of such coordinate system, and show how to construct the light-cone
coordinate system from usual ones, then explain their geometrical and physical
meanings by examples.
| physics.gen-ph | if there is a null gradient field in 13 dimensional spacetime we can set up a kind of lightcone coordinate system in the spacetime in such coordinate system the metric takes a simple form which is much helpful for simplifying and solving the einsteins field equation this lightcone coordinate system has wonderful properties and has been widely used in astrophysics to calculate parameters in this paper we give a detailed discussion for the structure of spacetime with lightcone coordinate system we derive the conditions for existence of such coordinate system and show how to construct the lightcone coordinate system from usual ones then explain their geometrical and physical meanings by examples | [['if', 'there', 'is', 'a', 'null', 'gradient', 'field', 'in', '13', 'dimensional', 'spacetime', 'we', 'can', 'set', 'up', 'a', 'kind', 'of', 'lightcone', 'coordinate', 'system', 'in', 'the', 'spacetime', 'in', 'such', 'coordinate', 'system', 'the', 'metric', 'takes', 'a', 'simple', 'form', 'which', 'is', 'much', 'helpful', 'for', 'simplifying', 'and', 'solving', 'the', 'einsteins', 'field', 'equation', 'this', 'lightcone', 'coordinate', 'system', 'has', 'wonderful', 'properties', 'and', 'has', 'been', 'widely', 'used', 'in', 'astrophysics', 'to', 'calculate', 'parameters', 'in', 'this', 'paper', 'we', 'give', 'a', 'detailed', 'discussion', 'for', 'the', 'structure', 'of', 'spacetime', 'with', 'lightcone', 'coordinate', 'system', 'we', 'derive', 'the', 'conditions', 'for', 'existence', 'of', 'such', 'coordinate', 'system', 'and', 'show', 'how', 'to', 'construct', 'the', 'lightcone', 'coordinate', 'system', 'from', 'usual', 'ones', 'then', 'explain', 'their', 'geometrical', 'and', 'physical', 'meanings', 'by', 'examples']] | [-0.13821377251548944, 0.04969720766661471, -0.1366046722139324, 0.046596996007940254, -0.11075099617838524, -0.10792021589303338, -0.024571674723840982, 0.3620394120362025, -0.2441636832863059, -0.22953207132213557, 0.07617070610521713, -0.22419801443345375, -0.1603263789716571, 0.16507316482156884, -0.058840415323035675, 0.037912686527413024, 0.03238694144723316, 0.08537391436428905, -0.11600895803149051, -0.22638123383250525, 0.3753498584904649, 0.03929330719014009, 0.2685439584709637, -0.01192920196482593, 0.16306091293793273, 0.02675535110756755, 0.0005755114226459383, 0.05712862812016193, -0.12121862337739954, 0.045252354966627585, 0.2095565568563436, 0.18514736687454084, 0.2132598947049832, -0.4385628078367796, -0.21276883600984473, 0.08812407910119037, 0.18138707039441476, 0.17420359312972003, -0.03548426411811027, -0.27347458596970586, 0.05182334083774303, -0.16527074844752615, -0.20314938884211686, -0.12315953153747695, 0.042342875238826815, -0.008650186815643095, -0.2317329777959474, 0.02048481655986728, 0.0359342023730278, 0.07022978883102401, -0.06530309349575357, -0.07964437920809933, 0.02319104604104215, 0.08681785307723928, 0.07480164906765158, 0.057823404036294504, 0.10245278749514271, -0.07789891522446163, -0.065749747749955, 0.4357671177031489, -0.029681659525948333, -0.29794630015621315, 0.15945065570240086, -0.1537643246193257, -0.13426513865439071, 0.06583439589788516, 0.18298719590949314, 0.12416127251947785, -0.2205007545789494, 0.13614490167825138, -0.0344408986301304, 0.12027864404828162, 0.0770295619092009, 0.05278318342941536, 0.20071998574175276, 0.11465847462012961, 0.03070091365559681, 0.12265796614559116, -0.019366156486039225, -0.12706017924623714, -0.3459838462473304, -0.18907551667107655, -0.11726479465561407, 0.11089913631780995, -0.11810005544674339, -0.14048848615283868, 0.39615538164864184, 0.15103141179618737, 0.18709093746771147, -0.0004425822633427677, 0.2571043281413212, 0.12905164323823196, 0.07232492605668937, 0.09597504018126307, 0.2552017310617475, 0.11063799352871741, 0.12018349371784418, -0.1788701511906913, -0.004813710961759359, 0.13443846877261595] |
710.5793 | Congruences for Andrews' Smallest Parts Partition Function and New
Congruences for Dyson's Rank | Let spt(n) denote the total number of appearances of smallest parts in the
partitions of n. Recently, Andrews showed how spt(n) is related to the second
rank moment, and proved some surprising Ramanujan-type congruences mod 5, 7 and
13. We prove a generalization of these congruences using known relations
between rank and crank moments. We obtain explicit Ramanujan-type congruences
for spt(n) mod p for p = 11, 17, 19, 29, 31 and 37. Recently, Bringmann and Ono
proved that Dyson's rank function has infinitely many Ramanujan-type
congruences. Their proof is non-constructive and utilizes the theory of weak
Maass forms. We construct two explicit nontrivial examples mod 11 using
elementary congruences between rank moments and half-integer weight Hecke
eigenforms.
| math.NT math.CO | let sptn denote the total number of appearances of smallest parts in the partitions of n recently andrews showed how sptn is related to the second rank moment and proved some surprising ramanujantype congruences mod 5 7 and 13 we prove a generalization of these congruences using known relations between rank and crank moments we obtain explicit ramanujantype congruences for sptn mod p for p 11 17 19 29 31 and 37 recently bringmann and ono proved that dysons rank function has infinitely many ramanujantype congruences their proof is nonconstructive and utilizes the theory of weak maass forms we construct two explicit nontrivial examples mod 11 using elementary congruences between rank moments and halfinteger weight hecke eigenforms | [['let', 'sptn', 'denote', 'the', 'total', 'number', 'of', 'appearances', 'of', 'smallest', 'parts', 'in', 'the', 'partitions', 'of', 'n', 'recently', 'andrews', 'showed', 'how', 'sptn', 'is', 'related', 'to', 'the', 'second', 'rank', 'moment', 'and', 'proved', 'some', 'surprising', 'ramanujantype', 'congruences', 'mod', '5', '7', 'and', '13', 'we', 'prove', 'a', 'generalization', 'of', 'these', 'congruences', 'using', 'known', 'relations', 'between', 'rank', 'and', 'crank', 'moments', 'we', 'obtain', 'explicit', 'ramanujantype', 'congruences', 'for', 'sptn', 'mod', 'p', 'for', 'p', '11', '17', '19', '29', '31', 'and', '37', 'recently', 'bringmann', 'and', 'ono', 'proved', 'that', 'dysons', 'rank', 'function', 'has', 'infinitely', 'many', 'ramanujantype', 'congruences', 'their', 'proof', 'is', 'nonconstructive', 'and', 'utilizes', 'the', 'theory', 'of', 'weak', 'maass', 'forms', 'we', 'construct', 'two', 'explicit', 'nontrivial', 'examples', 'mod', '11', 'using', 'elementary', 'congruences', 'between', 'rank', 'moments', 'and', 'halfinteger', 'weight', 'hecke', 'eigenforms']] | [-0.2304102568130972, 0.08019008073541853, -0.0893784556697067, 0.12782227389840808, -0.09004393097363476, -0.154407051905321, 0.011051509093043482, 0.24475162255410582, -0.23671096875770098, -0.370416932962198, 0.01590478010216935, -0.3577099841517898, -0.1977447258357285, 0.1881544687765308, -0.06109234001328293, 0.05686966965818762, -0.044896014948160604, 0.07247133416936606, -0.10502034170417768, -0.3693429550522158, 0.31610656724287534, -0.06241004656936623, 0.17181599872887263, 0.045652121723366856, 0.07839694134811433, 0.03891076252230594, -0.036105679935162775, -0.11056307431819856, -0.15968940673132564, 0.14995652347261834, 0.311690553648668, 0.0816178790703575, 0.22929410711249226, -0.36035150478984046, -0.002651026191858527, 0.18039651271294102, 0.14625564413383985, -0.062016145403807364, 0.0049192535901903854, -0.23502304907251373, 0.13090506376714534, -0.17998569073060003, -0.17432838016882157, -0.14903669280565193, 0.19674176505456367, 0.05947308118144671, -0.3073355494550644, 0.06703194413079411, 0.14806234519769493, 0.18484570286657093, -0.06848533916024444, -0.28761051619091094, 0.03401415390320695, 0.02604812513400092, 0.0529455587737517, -0.003670126008681762, -0.013895884773128817, -0.04184532582532997, -0.17455032877385235, 0.24844511485415804, 0.06631149197968407, -0.15782095815063032, 0.12242856737759569, -0.18768847208374587, -0.23688291721682772, 0.11945707350173312, 0.046263870954290666, 0.14024685731687003, -0.019228013821391977, 0.1428489968400552, -0.14565630841445035, 0.15148639879547632, 0.2920163525905237, -0.06935942515683098, 0.09155590819099392, -0.07284105912997173, 0.005626429158410169, 0.1680360472578014, -0.022923432636815004, 0.044181307061360434, -0.31036168234980005, -0.22006902409892562, -0.1672288848915034, 0.1672283086257103, -0.14895555890340886, -0.1016998330417734, 0.35678847014712983, 0.06088520665294849, 0.15457157342511618, 0.1775173783226687, 0.11203857882218993, 0.09353147818046248, 0.030539500079332635, 0.08165997823572949, 0.11097294592192102, 0.28510497072034985, -0.010454217051593667, -0.05136793640439208, -0.05346654875788034, 0.28072770091139865] |
710.5794 | Quantum Algorithms for Evaluating MIN-MAX Trees | We present a bounded-error quantum algorithm for evaluating Min-Max trees.
For a tree of size N our algorithm makes N^{1/2+o(1)} comparison queries, which
is close to the optimal complexity for this problem.
| quant-ph | we present a boundederror quantum algorithm for evaluating minmax trees for a tree of size n our algorithm makes n12o1 comparison queries which is close to the optimal complexity for this problem | [['we', 'present', 'a', 'boundederror', 'quantum', 'algorithm', 'for', 'evaluating', 'minmax', 'trees', 'for', 'a', 'tree', 'of', 'size', 'n', 'our', 'algorithm', 'makes', 'n12o1', 'comparison', 'queries', 'which', 'is', 'close', 'to', 'the', 'optimal', 'complexity', 'for', 'this', 'problem']] | [-0.1289083304873202, 0.026718284090748057, -0.08012995799072087, 0.15612971142400056, -0.09091446573438589, -0.20611240892321803, 0.2098794274352258, 0.3778248563176021, -0.2791810716735199, -0.35191075183684006, 0.06970632237789687, -0.248063386650756, -0.16193177825334715, 0.22032454729196616, -0.1035699209314771, 0.16085088183172047, 0.10978300153510645, 0.058283095655497164, -0.03773421415826306, -0.3244059160351753, 0.25011700143659255, 0.08397666089513223, 0.21438660673447885, 0.016193217190448195, 0.1170956486457726, 0.046699839096618234, 0.025928385613951832, 0.059966191969579086, -0.14617962389456807, 0.11872514706556103, 0.3388199798646383, 0.23747612192528322, 0.2965985406190157, -0.2969220439554192, -0.0963469257694669, 0.16028754654689692, 0.16217615565983579, 0.19178081604695763, -0.01615379747818224, -0.20244996861583786, 0.156871467075689, -0.07771823910297826, -0.03403880028054118, -0.02281707202200778, 0.07236430095508695, -0.07015519449487329, -0.36584604874951765, -0.031636558303944184, 0.03542695305077359, -0.009184238471789286, 0.004702548976638354, -0.12330307700904086, 0.15909901998384157, 0.09605431681848131, -0.08407327629538486, 0.08004745627113152, 0.04502815773594193, -0.06047304328967584, -0.2236352952022571, 0.33872478315606713, 0.011352429952239618, -0.20735385891020996, 0.12749103040550835, -0.01869850029470399, -0.20777587909833528, 0.12747020606184378, 0.18565129107082612, 0.19349373328441288, -0.08679882308933884, 0.14152783957251813, -0.11106195935280994, 0.18846219551051036, 0.08185512651107274, 0.004594220430590212, 0.07987909903749824, 0.2688336536521092, 0.16770183388143778, 0.24246772611513734, -0.0015762505936436355, -0.09837899464764632, -0.22741986362962052, -0.21542160146054812, -0.22610216450993903, -0.011462264723377302, -0.21875757885572966, -0.24970400932943448, 0.32857545907609165, 0.20954501535743475, 0.18457766275969334, 0.28694458824247704, 0.326059864833951, 0.10044824968281318, -0.0234011616994394, 0.20136315569106955, 0.11010280903428793, 0.07322727818973362, 0.03788474640168715, -0.24356703866214957, 0.12149335279536899, 0.1546553727821447] |
710.5795 | Mass ordering of differential elliptic flow and its violation for phi
mesons | We simulate the dynamics of Au+Au collisions at the Relativistic Heavy Ion
Collider (RHIC) with a hybrid model that treats the dense early quark-gluon
plasma (QGP) stage macroscopically as an ideal fluid, but models the dilute
late hadron resonance gas (HG) microscopically using a hadronic cascade. By
comparing with a pure hydrodynamic approach we identify effects of hadronic
viscosity on the transverse momentum spectra and differential elliptic flow
v_2(p_T). We investigate the dynamical origins of the observed mass-ordering of
v_2(p_T) for identified hadrons, focusing on dissipative effects during the
late hadronic stage. We find that, at RHIC energies, much of the finally
observed mass-splitting is generated during the hadronic stage, due to build-up
of additional radial flow. The phi meson, having a small interaction cross
section, does not fully participate in this additional flow. As a result, it
violates the mass-ordering pattern for v_2(p_T) that is observed for other
hadron species. We also show that the early decoupling of the phi meson from
the hadronic rescattering dynamics leads to interesting and unambiguous
features in the p_T-dependence of the nuclear suppression factor R_AA and of
the phi/p ratio.
| nucl-th hep-ph nucl-ex | we simulate the dynamics of auau collisions at the relativistic heavy ion collider rhic with a hybrid model that treats the dense early quarkgluon plasma qgp stage macroscopically as an ideal fluid but models the dilute late hadron resonance gas hg microscopically using a hadronic cascade by comparing with a pure hydrodynamic approach we identify effects of hadronic viscosity on the transverse momentum spectra and differential elliptic flow v_2p_t we investigate the dynamical origins of the observed massordering of v_2p_t for identified hadrons focusing on dissipative effects during the late hadronic stage we find that at rhic energies much of the finally observed masssplitting is generated during the hadronic stage due to buildup of additional radial flow the phi meson having a small interaction cross section does not fully participate in this additional flow as a result it violates the massordering pattern for v_2p_t that is observed for other hadron species we also show that the early decoupling of the phi meson from the hadronic rescattering dynamics leads to interesting and unambiguous features in the p_tdependence of the nuclear suppression factor r_aa and of the phip ratio | [['we', 'simulate', 'the', 'dynamics', 'of', 'auau', 'collisions', 'at', 'the', 'relativistic', 'heavy', 'ion', 'collider', 'rhic', 'with', 'a', 'hybrid', 'model', 'that', 'treats', 'the', 'dense', 'early', 'quarkgluon', 'plasma', 'qgp', 'stage', 'macroscopically', 'as', 'an', 'ideal', 'fluid', 'but', 'models', 'the', 'dilute', 'late', 'hadron', 'resonance', 'gas', 'hg', 'microscopically', 'using', 'a', 'hadronic', 'cascade', 'by', 'comparing', 'with', 'a', 'pure', 'hydrodynamic', 'approach', 'we', 'identify', 'effects', 'of', 'hadronic', 'viscosity', 'on', 'the', 'transverse', 'momentum', 'spectra', 'and', 'differential', 'elliptic', 'flow', 'v_2p_t', 'we', 'investigate', 'the', 'dynamical', 'origins', 'of', 'the', 'observed', 'massordering', 'of', 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710.5796 | Gauging Spacetime Symmetries on the Worldsheet and the Geometric
Langlands Program | We study the two-dimensional twisted (0,2) sigma-model on various smooth
complex flag manifolds G/B, and explore its relevance to the geometric
Langlands program. We find that an equivalence - at the level of the
holomorphic chiral algebra - between a bosonic string on G/B and a B-gauged
version of itself on G, will imply an isomorphism of classical W-algebras and a
level relation which underlie a geometric Langlands correspondence for
G=SL(N,C). This furnishes an alternative physical interpretation of the
geometric Langlands correspondence for G=SL(N,C), to that demonstrated earlier
by Kapustin and Witten via an electric-magnetic duality of four-dimensional
gauge theory. Likewise, the Hecke operators and Hecke eigensheaves will have an
alternative physical interpretation in terms of the correlation functions of
local operators in the holomorphic chiral algebra of a quasi-topological
sigma-model without boundaries. A forthcoming paper will investigate the
interpretation of a ``quantum'' geometric Langlands correspondence for
G=SL(N,C) in a similar setting, albeit with fluxes of the sigma-model moduli
which induce a ``quantum'' deformation of the relevant classical algebras
turned on.
| hep-th math.AG math.QA | we study the twodimensional twisted 02 sigmamodel on various smooth complex flag manifolds gb and explore its relevance to the geometric langlands program we find that an equivalence at the level of the holomorphic chiral algebra between a bosonic string on gb and a bgauged version of itself on g will imply an isomorphism of classical walgebras and a level relation which underlie a geometric langlands correspondence for gslnc this furnishes an alternative physical interpretation of the geometric langlands correspondence for gslnc to that demonstrated earlier by kapustin and witten via an electricmagnetic duality of fourdimensional gauge theory likewise the hecke operators and hecke eigensheaves will have an alternative physical interpretation in terms of the correlation functions of local operators in the holomorphic chiral algebra of a quasitopological sigmamodel without boundaries a forthcoming paper will investigate the interpretation of a quantum geometric langlands correspondence for gslnc in a similar setting albeit with fluxes of the sigmamodel moduli which induce a quantum deformation of the relevant classical algebras turned on | [['we', 'study', 'the', 'twodimensional', 'twisted', '02', 'sigmamodel', 'on', 'various', 'smooth', 'complex', 'flag', 'manifolds', 'gb', 'and', 'explore', 'its', 'relevance', 'to', 'the', 'geometric', 'langlands', 'program', 'we', 'find', 'that', 'an', 'equivalence', 'at', 'the', 'level', 'of', 'the', 'holomorphic', 'chiral', 'algebra', 'between', 'a', 'bosonic', 'string', 'on', 'gb', 'and', 'a', 'bgauged', 'version', 'of', 'itself', 'on', 'g', 'will', 'imply', 'an', 'isomorphism', 'of', 'classical', 'walgebras', 'and', 'a', 'level', 'relation', 'which', 'underlie', 'a', 'geometric', 'langlands', 'correspondence', 'for', 'gslnc', 'this', 'furnishes', 'an', 'alternative', 'physical', 'interpretation', 'of', 'the', 'geometric', 'langlands', 'correspondence', 'for', 'gslnc', 'to', 'that', 'demonstrated', 'earlier', 'by', 'kapustin', 'and', 'witten', 'via', 'an', 'electricmagnetic', 'duality', 'of', 'fourdimensional', 'gauge', 'theory', 'likewise', 'the', 'hecke', 'operators', 'and', 'hecke', 'eigensheaves', 'will', 'have', 'an', 'alternative', 'physical', 'interpretation', 'in', 'terms', 'of', 'the', 'correlation', 'functions', 'of', 'local', 'operators', 'in', 'the', 'holomorphic', 'chiral', 'algebra', 'of', 'a', 'quasitopological', 'sigmamodel', 'without', 'boundaries', 'a', 'forthcoming', 'paper', 'will', 'investigate', 'the', 'interpretation', 'of', 'a', 'quantum', 'geometric', 'langlands', 'correspondence', 'for', 'gslnc', 'in', 'a', 'similar', 'setting', 'albeit', 'with', 'fluxes', 'of', 'the', 'sigmamodel', 'moduli', 'which', 'induce', 'a', 'quantum', 'deformation', 'of', 'the', 'relevant', 'classical', 'algebras', 'turned', 'on']] | [-0.18743529550210086, 0.07198600078646407, -0.16687142716476783, 0.10965597962924567, -0.12739931161437804, -0.12568202851495394, -0.01769858341486681, 0.28742349748721435, -0.2719557503171797, -0.24458176987467423, 0.07126531682124118, -0.1944676522675547, -0.21772614944105348, 0.18033346258813426, -0.14128062262621133, 0.004755054966067075, 0.009435494916812916, 0.07411101967279267, -0.16066404645347834, -0.2334533702607067, 0.37421775673006086, 0.02152462349373049, 0.2594546207041103, 0.05961860420038214, 0.10615097907083552, 0.031185793470025862, 0.0008666070893273822, -0.037976041644079875, -0.145860799724514, 0.18426481826740893, 0.2747649930423081, 0.027987167843440103, 0.14566598135397293, -0.43023575974872247, -0.16164793663414284, 0.12029009632117647, 0.12988125392682073, 0.06762848771593001, -0.014140336135391235, -0.3205698099253433, 0.026320282918667153, -0.1689320637656021, -0.13695788601762615, -0.10424048154492907, 0.043605462345849014, -0.08089710605452724, -0.21951587638856532, 0.022017489647537115, 0.06441465476416938, 0.14646264761298275, -0.08851213763825529, -0.05194341252735328, -0.07551476518260426, 0.05366024202279126, -0.006287947464096803, 0.08091286268574463, 0.11111394602007099, -0.1891257994617003, -0.17113731985799469, 0.355049514738355, -0.030334779715520285, -0.19397090298506164, 0.1616855888888018, -0.12890462612544762, -0.19637526206982633, 0.03965422412078451, 0.0708241203489403, 0.1123791947029531, -0.07529600117621678, 0.20408620614207826, -0.10138211265161988, 0.06391167984249824, 0.08652679072942451, 0.018275243668800352, 0.2512333408480377, 0.07054829952678465, 0.05226185613649986, 0.13444152194382955, 0.02270887399624501, -0.09300319515334975, -0.4260244938944067, -0.20144092745613307, -0.08552935724617869, 0.13172070108417497, -0.14528444419201628, -0.16735713886252293, 0.38736649255068706, 0.10753846574516501, 0.2162550321580576, 0.08697077248819239, 0.16243701949272127, 0.09983839821541637, 0.0842593754475404, -0.03549741337996065, 0.21296851526546692, 0.24714591055470964, 0.01874513857875995, -0.23160958801634565, -0.08955415362946778, 0.22552775463555008] |
710.5797 | The distribution of maxima of approximately Gaussian random fields | Motivated by the problem of testing for the existence of a signal of known
parametric structure and unknown ``location'' (as explained below) against a
noisy background, we obtain for the maximum of a centered, smooth random field
an approximation for the tail of the distribution. For the motivating class of
problems this gives approximately the significance level of the maximum score
test. The method is based on an application of a likelihood-ratio-identity
followed by approximations of local fields. Numerical examples illustrate the
accuracy of the approximations.
| math.ST stat.TH | motivated by the problem of testing for the existence of a signal of known parametric structure and unknown location as explained below against a noisy background we obtain for the maximum of a centered smooth random field an approximation for the tail of the distribution for the motivating class of problems this gives approximately the significance level of the maximum score test the method is based on an application of a likelihoodratioidentity followed by approximations of local fields numerical examples illustrate the accuracy of the approximations | [['motivated', 'by', 'the', 'problem', 'of', 'testing', 'for', 'the', 'existence', 'of', 'a', 'signal', 'of', 'known', 'parametric', 'structure', 'and', 'unknown', 'location', 'as', 'explained', 'below', 'against', 'a', 'noisy', 'background', 'we', 'obtain', 'for', 'the', 'maximum', 'of', 'a', 'centered', 'smooth', 'random', 'field', 'an', 'approximation', 'for', 'the', 'tail', 'of', 'the', 'distribution', 'for', 'the', 'motivating', 'class', 'of', 'problems', 'this', 'gives', 'approximately', 'the', 'significance', 'level', 'of', 'the', 'maximum', 'score', 'test', 'the', 'method', 'is', 'based', 'on', 'an', 'application', 'of', 'a', 'likelihoodratioidentity', 'followed', 'by', 'approximations', 'of', 'local', 'fields', 'numerical', 'examples', 'illustrate', 'the', 'accuracy', 'of', 'the', 'approximations']] | [-0.09792214856441954, 0.013827330518089345, -0.07246185486369273, 0.06651842547032763, -0.0237917829743203, -0.07052778218160657, 0.09354347959708642, 0.3256638251464157, -0.25313889195813855, -0.30624326274675484, 0.14045241947614534, -0.2229903512798688, -0.12234559631084695, 0.24013844781062182, -0.04025159428882248, 0.06960611599771416, 0.01225160820519223, 0.08092493232997025, -0.0847724533694632, -0.24570362801006174, 0.32325697723118696, 0.09243242913747535, 0.2521393210134085, 0.03328791511080721, 0.13826062943348114, 0.005710513051599264, -0.0309113530551686, 0.03378143992055865, -0.08916818474638549, 0.14985299220938675, 0.19125726560459416, 0.15505957208464252, 0.31888250257436407, -0.3561917049481588, -0.2168062491534168, 0.08615236867164426, 0.08755716844461858, 0.09961224373649148, -0.07349519856575439, -0.2994105763842954, 0.10677758522112579, -0.11002569376107524, -0.18508486695149365, -0.03781153738005635, -0.024245860289289232, 0.047171977732111424, -0.3377555510008653, 0.11950734909076025, 0.08465068515198415, 0.07900287713855506, -0.05324997846584986, -0.12937746420502663, 0.047227432480191484, 0.09801351929302601, 0.05485162996577428, 0.002591123663724455, 0.08453244950951022, -0.1919224102899213, -0.13818998394040938, 0.3741718383279958, -0.08561144345166052, -0.18340972952599474, 0.14170349681037753, -0.08650582049808958, -0.08455773730050115, 0.15025533403763, 0.20183386425213778, 0.150034929209334, -0.13485142671407255, 0.09915850013973848, -0.036291711311787364, 0.1566229201415006, 0.06040205040070064, -0.034150194634190376, 0.17951247942195658, 0.18406197526766097, 0.09875074348357671, 0.17911906015840084, -0.12290728378438336, -0.07161733051761984, -0.3550473784808727, -0.11235486506758367, -0.22595679823528317, 0.022498838822631276, -0.11814527306140757, -0.21763400781680556, 0.44700666004244016, 0.1455374305958257, 0.2339812147376292, 0.09135452725321931, 0.2752913331503377, 0.14493211851701798, -0.02820959635736311, 0.04595166094710722, 0.22885892849744244, 0.17074528199017924, -0.013519156861173756, -0.18139477023471365, 0.09800138249993325, 0.03843305680681677] |
710.5798 | Two point correlations of a trapped interacting Bose gas at finite
temperature | We develop a computationally tractable method for calculating correlation
functions of the finite temperature trapped Bose gas that includes the effects
of s-wave interactions. Our approach uses a classical field method to model the
low energy modes and treats the high energy modes using a Hartree-Fock
description. We present results of first and second order correlation
functions, in position and momentum space, for an experimentally realistic
system in the temperature range of $0.6T_c$ to $1.0T_c$. We also characterize
the spatial coherence length of the system. Our theory should be applicable in
the critical region where experiments are now able to measure first and second
order correlations.
| cond-mat.other | we develop a computationally tractable method for calculating correlation functions of the finite temperature trapped bose gas that includes the effects of swave interactions our approach uses a classical field method to model the low energy modes and treats the high energy modes using a hartreefock description we present results of first and second order correlation functions in position and momentum space for an experimentally realistic system in the temperature range of 06t_c to 10t_c we also characterize the spatial coherence length of the system our theory should be applicable in the critical region where experiments are now able to measure first and second order correlations | [['we', 'develop', 'a', 'computationally', 'tractable', 'method', 'for', 'calculating', 'correlation', 'functions', 'of', 'the', 'finite', 'temperature', 'trapped', 'bose', 'gas', 'that', 'includes', 'the', 'effects', 'of', 'swave', 'interactions', 'our', 'approach', 'uses', 'a', 'classical', 'field', 'method', 'to', 'model', 'the', 'low', 'energy', 'modes', 'and', 'treats', 'the', 'high', 'energy', 'modes', 'using', 'a', 'hartreefock', 'description', 'we', 'present', 'results', 'of', 'first', 'and', 'second', 'order', 'correlation', 'functions', 'in', 'position', 'and', 'momentum', 'space', 'for', 'an', 'experimentally', 'realistic', 'system', 'in', 'the', 'temperature', 'range', 'of', '06t_c', 'to', '10t_c', 'we', 'also', 'characterize', 'the', 'spatial', 'coherence', 'length', 'of', 'the', 'system', 'our', 'theory', 'should', 'be', 'applicable', 'in', 'the', 'critical', 'region', 'where', 'experiments', 'are', 'now', 'able', 'to', 'measure', 'first', 'and', 'second', 'order', 'correlations']] | [-0.11766595947833378, 0.1388410161927043, -0.09733029658340715, 0.10474426806239145, -0.009163045765654671, -0.09438735577056095, 0.03346164263674014, 0.36321191173933803, -0.23062818985698477, -0.27756489348996966, 0.024140127657336138, -0.2852780572892655, -0.10795042123645544, 0.18114593615090208, 0.037135649291476946, 0.07498664388798976, -0.011991711452026807, 0.017420815051134145, -0.09569703852757812, -0.2024084030960997, 0.33490621897702416, 0.06800329002241294, 0.2730718332653244, 0.11117833312600851, 0.10076244206921685, 0.029305713730198996, 0.025295235598016354, 0.040330354465515396, -0.15443874707347105, 0.08600877473751704, 0.24078394058160485, 0.05058867907750287, 0.2542916461115792, -0.40648387005286557, -0.21317939566714422, 0.08107857921471198, 0.14610605211928487, 0.15687287233415104, -0.014348310542603333, -0.25163923287320705, 0.03113851634608138, -0.19227063022110433, -0.1438079948492703, -0.1586085058926117, 0.009426916331895406, 0.008630443634908823, -0.3011835034227087, 0.12120061253746306, 0.02455155040536608, 0.03513681299629665, -0.09550961948310335, -0.06994498406004693, 0.025308271005217518, 0.11377046723362236, -0.018077335206215225, 0.03250586646830752, 0.09651745145785667, -0.09535749446645024, -0.06389328341465443, 0.3781755796500615, -0.09812114756510017, -0.1886693124836754, 0.18873570584913804, -0.19160179863462135, -0.09645670163666918, 0.14183425070451838, 0.20062426421791316, 0.14681226550823168, -0.14535929663993774, 0.043105305230433474, -0.003080072138635885, 0.20677095532772086, -0.011208874942912232, 0.056943605321326425, 0.1800939945947556, 0.17531048302937832, 0.037800661350289984, 0.16074706411898312, -0.12974806446138593, -0.11132614385514032, -0.3140352422903691, -0.14898911262197154, -0.21621367557949964, -0.06074554193764925, -0.05434767572774685, -0.13761677706525438, 0.4099648058902295, 0.20173208139382215, 0.17912755779744613, 0.0626256007346369, 0.3188764461981399, 0.14584171146021357, 0.0649433097059262, 0.06632457593722003, 0.22983849815846907, 0.1370762335724153, 0.07639995437292825, -0.2347952666808851, 0.001518300561500447, 0.058376877666229295] |
710.5799 | Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3) | We show that if L is an extremal even unimodular lattice of rank 40r with
r=1,2,3 then L is generated by its vectors of norms 4r and 4r+2. Our result is
an extension of Ozeki's result for the case r=1.
| math.NT | we show that if l is an extremal even unimodular lattice of rank 40r with r123 then l is generated by its vectors of norms 4r and 4r2 our result is an extension of ozekis result for the case r1 | [['we', 'show', 'that', 'if', 'l', 'is', 'an', 'extremal', 'even', 'unimodular', 'lattice', 'of', 'rank', '40r', 'with', 'r123', 'then', 'l', 'is', 'generated', 'by', 'its', 'vectors', 'of', 'norms', '4r', 'and', '4r2', 'our', 'result', 'is', 'an', 'extension', 'of', 'ozekis', 'result', 'for', 'the', 'case', 'r1']] | [-0.1399461190478924, 0.14491993453105886, -0.02518870249295082, 0.003818610196527189, -0.03284208527885568, -0.1427031145326626, -0.034225305494589686, 0.36052126915026933, -0.29568598763300824, -0.17962289919169286, 0.1382802008316876, -0.2930141185911802, -0.17956755976550853, 0.1771707463149841, -0.06632014439823344, -0.04965044688343859, 0.025672472917880766, 0.13055985638250908, -0.03590343235872495, -0.32270137798518705, 0.34446429346616453, 0.04154922810789102, 0.16692504039010367, 0.05803763658667986, 0.06868722319650726, 0.03436677068328628, 0.014124274277725281, 0.019753815200275335, -0.13062837475836903, 0.11145317236868998, 0.19898824906573656, 0.13484803864207023, 0.21678467860254338, -0.2941566225953209, -0.13292693882249296, 0.15582959869733223, 0.0963263997855859, 0.06149832980755048, -0.0131570177558714, -0.22370591405659723, 0.2006228019316227, -0.14883692247363237, -0.18291356043221477, -0.04928143028742992, 0.10354084383326177, -0.04343343662241331, -0.36090178716068083, 0.03413426417570848, 0.18979571926861238, 0.056191671915047876, -0.0675350623175454, -0.13507884482924754, -0.04375913967856039, 0.04125343547322047, 0.06963042848600218, 0.09264552615917264, 0.014023183806178471, -0.043867794366983265, -0.11277125175230396, 0.3736029076270568, -0.072710285990093, -0.23086837736459878, 0.1293910128565935, -0.1483808302989182, -0.09542927165062, 0.057972395398582406, 0.07268243825110869, 0.1614380302989724, -0.014510176168420376, 0.20545558889175597, -0.18362292344084916, 0.15455158007068512, 0.09883142217325094, -0.019848529010629043, 0.10162311013883506, 0.08134960294223557, 0.1423908203649215, 0.13535072732095918, -0.02113577542014611, 0.02835528282239699, -0.31683411231885356, -0.1566008020622226, -0.24249344407461393, 0.1198779315663836, -0.144879472011757, -0.11685190256685019, 0.31287077687776244, 0.0650756161656971, 0.21330135592665428, 0.12057189772335383, 0.19201870415455255, 0.09742110873608348, 0.02562736144934136, 0.12340272828124654, 0.16084998635909495, 0.15617024660325393, -0.039476731744332194, -0.1505470498202321, -0.018589817811376773, 0.15321002996120697] |
710.58 | Cuntz semigroups of ideals and quotients and a generalized Kasparov
Stabilization Theorem | Let A be a C*-algebra and I a closed two-sided ideal of A. We use the Hilbert
C*-modules picture of the Cuntz semigroup to investigate the relations between
the Cuntz semigroups of I, A and A/I. We obtain a relation on two elements of
the Cuntz semigroup of A that characterizes when they are equal in the Cuntz
semigroup of A/I. As a corollary, we show that the Cuntz semigroup functor is
exact. Replacing the Cuntz equivalence relation of Hilbert modules by their
isomorphism, we obtain a generalization of Kasparov's Stabilization theorem.
| math.OA | let a be a calgebra and i a closed twosided ideal of a we use the hilbert cmodules picture of the cuntz semigroup to investigate the relations between the cuntz semigroups of i a and ai we obtain a relation on two elements of the cuntz semigroup of a that characterizes when they are equal in the cuntz semigroup of ai as a corollary we show that the cuntz semigroup functor is exact replacing the cuntz equivalence relation of hilbert modules by their isomorphism we obtain a generalization of kasparovs stabilization theorem | [['let', 'a', 'be', 'a', 'calgebra', 'and', 'i', 'a', 'closed', 'twosided', 'ideal', 'of', 'a', 'we', 'use', 'the', 'hilbert', 'cmodules', 'picture', 'of', 'the', 'cuntz', 'semigroup', 'to', 'investigate', 'the', 'relations', 'between', 'the', 'cuntz', 'semigroups', 'of', 'i', 'a', 'and', 'ai', 'we', 'obtain', 'a', 'relation', 'on', 'two', 'elements', 'of', 'the', 'cuntz', 'semigroup', 'of', 'a', 'that', 'characterizes', 'when', 'they', 'are', 'equal', 'in', 'the', 'cuntz', 'semigroup', 'of', 'ai', 'as', 'a', 'corollary', 'we', 'show', 'that', 'the', 'cuntz', 'semigroup', 'functor', 'is', 'exact', 'replacing', 'the', 'cuntz', 'equivalence', 'relation', 'of', 'hilbert', 'modules', 'by', 'their', 'isomorphism', 'we', 'obtain', 'a', 'generalization', 'of', 'kasparovs', 'stabilization', 'theorem']] | [-0.10809280381679696, 0.1253154518933076, -0.1094386045942488, 0.10320436315352867, -0.08013533884482256, -0.10877985710217415, 0.03789260924753288, 0.3600175782390263, -0.40050448908511066, -0.1263222277427659, 0.10483731040300842, -0.30791826625721547, -0.11401533877537788, 0.19150091877774053, -0.18351490775366192, -0.014993284454407252, 0.1086469482448276, 0.09257692291968218, -0.1296611746150555, -0.1800135119284159, 0.42836932671944733, -0.0027966550848720108, 0.17486724649232044, 0.024730660698918182, 0.10587410187935861, -0.06348491747580144, -0.017262627613609253, -0.04719544266117737, -0.16390525136201808, 0.1479100053826266, 0.3068868075294987, 0.13685201071000294, 0.27802459465886425, -0.39612624741604796, -0.06448877997615415, 0.20433012657272426, 0.10253253919781065, -0.012119864645090116, -0.023853138186614557, -0.2943365392072693, 0.08177197397605557, -0.2827016562678973, -0.0689932867611313, -0.1169657644400697, 0.12738647135784445, -0.01664412084400006, -0.2969794472699742, -0.02223068513178631, 0.20880384714869055, 0.15234469177037524, -0.09896593488266935, 0.007462181798789812, -0.09368898865827562, 0.09374524671337618, -0.07527346982185365, -0.022200040215545374, 0.11127137602306902, -0.0632743380214695, -0.14972863443519757, 0.3478602572931382, -0.06315026983350475, -0.20073477560451822, 0.14378310444400363, -0.18761438416296858, -0.13711532295944737, 0.03079209021550765, -0.025306719081962237, 0.12574926073885645, -0.055261025405976084, 0.22580282436557236, -0.20409906836752983, 0.07197809663763188, 0.03570404679403114, 0.05125790437602479, 0.06159469845158089, 0.10475641274672892, 0.07487124816069136, 0.19698219643981682, 0.1371019018798783, -0.005929424771634133, -0.3483161477210081, -0.24879978051910218, -0.1152249439265174, 0.18469306205034905, -0.10047900669356434, -0.1588296749143173, 0.3941755826868441, 0.13528091368852588, 0.18996409678568496, 0.13022015928088324, 0.18532974447083214, 0.11885749099841948, 0.01591716386610642, 0.041062528773656355, 0.15064533214773174, 0.30193960970601713, -0.03692124908000393, -0.18908971056099172, -0.03518240889736816, 0.32598998686096264] |
710.5801 | Setting UBVRI Photometric Zero-Points Using Sloan Digital Sky Survey
ugriz Magnitudes | We discuss the use of Sloan Digital Sky Survey (SDSS) ugriz point-spread
function (PSF) photometry for setting the zero points of UBVRI CCD images. From
a comparison with the Landolt (1992) standards and our own photometry we find
that there is a fairly abrupt change in B, V, R, & I zero points around g, r, i
~ 14.5, and in the U zero point at u ~ 16. These changes correspond to where
there is significant interpolation due to saturation in the SDSS PSF fluxes.
There also seems to be another, much smaller systematic effect for stars with
g, r > 19.5. The latter effect is consistent with a small Malmquist bias.
Because of the difficulties with PSF fluxes of brighter stars, we recommend
that comparisons of ugriz and UBVRI photometry should only be made for
unsaturated stars with g, r and i in the range 14.5 - 19.5, and u in the range
16 - 19.5. We give a prescription for setting the UBVRI zero points for CCD
images, and general equations for transforming from ugriz to UBVRI.
| astro-ph | we discuss the use of sloan digital sky survey sdss ugriz pointspread function psf photometry for setting the zero points of ubvri ccd images from a comparison with the landolt 1992 standards and our own photometry we find that there is a fairly abrupt change in b v r i zero points around g r i 145 and in the u zero point at u 16 these changes correspond to where there is significant interpolation due to saturation in the sdss psf fluxes there also seems to be another much smaller systematic effect for stars with g r 195 the latter effect is consistent with a small malmquist bias because of the difficulties with psf fluxes of brighter stars we recommend that comparisons of ugriz and ubvri photometry should only be made for unsaturated stars with g r and i in the range 145 195 and u in the range 16 195 we give a prescription for setting the ubvri zero points for ccd images and general equations for transforming from ugriz to ubvri | [['we', 'discuss', 'the', 'use', 'of', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'ugriz', 'pointspread', 'function', 'psf', 'photometry', 'for', 'setting', 'the', 'zero', 'points', 'of', 'ubvri', 'ccd', 'images', 'from', 'a', 'comparison', 'with', 'the', 'landolt', '1992', 'standards', 'and', 'our', 'own', 'photometry', 'we', 'find', 'that', 'there', 'is', 'a', 'fairly', 'abrupt', 'change', 'in', 'b', 'v', 'r', 'i', 'zero', 'points', 'around', 'g', 'r', 'i', '145', 'and', 'in', 'the', 'u', 'zero', 'point', 'at', 'u', '16', 'these', 'changes', 'correspond', 'to', 'where', 'there', 'is', 'significant', 'interpolation', 'due', 'to', 'saturation', 'in', 'the', 'sdss', 'psf', 'fluxes', 'there', 'also', 'seems', 'to', 'be', 'another', 'much', 'smaller', 'systematic', 'effect', 'for', 'stars', 'with', 'g', 'r', '195', 'the', 'latter', 'effect', 'is', 'consistent', 'with', 'a', 'small', 'malmquist', 'bias', 'because', 'of', 'the', 'difficulties', 'with', 'psf', 'fluxes', 'of', 'brighter', 'stars', 'we', 'recommend', 'that', 'comparisons', 'of', 'ugriz', 'and', 'ubvri', 'photometry', 'should', 'only', 'be', 'made', 'for', 'unsaturated', 'stars', 'with', 'g', 'r', 'and', 'i', 'in', 'the', 'range', '145', '195', 'and', 'u', 'in', 'the', 'range', '16', '195', 'we', 'give', 'a', 'prescription', 'for', 'setting', 'the', 'ubvri', 'zero', 'points', 'for', 'ccd', 'images', 'and', 'general', 'equations', 'for', 'transforming', 'from', 'ugriz', 'to', 'ubvri']] | [-0.03969406750288674, 0.048414634401513924, -0.07342802605259864, 0.048500573069215805, -0.11859751236625016, -0.13658982863778185, 0.11136433257234293, 0.43834733070227605, -0.20262687201558174, -0.3450779737583522, 0.07302878157907412, -0.3860194139964022, -0.04624676203553233, 0.2108315735166871, -0.12482036086837707, -0.031709348401536455, 0.10029605096848361, -0.08156077773042622, -0.07456545585876159, -0.29396761992100584, 0.2580638346583422, -0.035580534823827614, 0.18446474980252484, -0.06191063849569898, 0.044636071967389224, -0.01610589121975508, -0.12105167600668795, 0.018145689186800658, -0.1652845960334057, 0.001367739091024148, 0.269875278286957, 0.06905439598806973, 0.24917015899507994, -0.2751369830274462, -0.12696931724449628, 0.10233383375519736, 0.1500987985750778, 0.03465522494670218, -0.03160144124131907, -0.252587230362255, 0.09044325965437931, -0.14587979947869806, -0.14149446089099021, 0.02373846081331715, 0.13293998600043966, 0.03642714791462875, -0.2934331386497287, 0.08510894459707732, -0.0017861285177996147, 0.19565170499544335, -0.10482275819716354, -0.1763450058234652, -0.08443580534785515, 0.08586943557421708, -0.0395364116946899, 0.12416696449174364, 0.05536692927794895, -0.14480344701194386, 0.04471858424916007, 0.41353226849145586, -0.10407552083997035, -0.06771777318148263, 0.12451566291448457, -0.1774901760201473, -0.09868486546215484, 0.1270569853312182, 0.1122161810260919, 0.1042055640627741, -0.1898483632656949, 0.08224978470230132, 0.008081786531216368, 0.20111565394731823, 0.056886743772881984, 0.04430059338658888, 0.243114405899324, 0.06211083915603786, 0.07095765870803132, 0.06698280037514566, -0.27488082562219995, 0.012822582118812648, -0.33366213759257535, -0.05701745440648205, -0.129602328352309, 0.08088889119654209, -0.1267658594787327, -0.1525518617903193, 0.38011489285091904, 0.19046337409052014, 0.1989951281200816, 0.06331442938796406, 0.2770749203025781, 0.08703864265290817, 0.10765870058294867, 0.08726069422963278, 0.27562336881120486, 0.12916939901776783, 0.1307551251783239, -0.16875641095323551, -0.03789974390910457, 0.0036899801664825142] |
710.5802 | Leptogenesis in SO(10) models with a left-right symmetric seesaw
mechanism | We study leptogenesis in supersymmetric SO(10) models with a left-right
symmetric seesaw mechanism, including flavour effects and the contribution of
the next-to-lightest right-handed neutrino. Assuming M_D = M_u and hierarchical
light neutrino masses, we find that successful leptogenesis is possible for 4
out of the 8 right-handed neutrino mass spectra that are compatible with the
observed neutrino data. An accurate description of charged fermion masses
appears to be an important ingredient in the analysis.
| hep-ph | we study leptogenesis in supersymmetric so10 models with a leftright symmetric seesaw mechanism including flavour effects and the contribution of the nexttolightest righthanded neutrino assuming m_d m_u and hierarchical light neutrino masses we find that successful leptogenesis is possible for 4 out of the 8 righthanded neutrino mass spectra that are compatible with the observed neutrino data an accurate description of charged fermion masses appears to be an important ingredient in the analysis | [['we', 'study', 'leptogenesis', 'in', 'supersymmetric', 'so10', 'models', 'with', 'a', 'leftright', 'symmetric', 'seesaw', 'mechanism', 'including', 'flavour', 'effects', 'and', 'the', 'contribution', 'of', 'the', 'nexttolightest', 'righthanded', 'neutrino', 'assuming', 'm_d', 'm_u', 'and', 'hierarchical', 'light', 'neutrino', 'masses', 'we', 'find', 'that', 'successful', 'leptogenesis', 'is', 'possible', 'for', '4', 'out', 'of', 'the', '8', 'righthanded', 'neutrino', 'mass', 'spectra', 'that', 'are', 'compatible', 'with', 'the', 'observed', 'neutrino', 'data', 'an', 'accurate', 'description', 'of', 'charged', 'fermion', 'masses', 'appears', 'to', 'be', 'an', 'important', 'ingredient', 'in', 'the', 'analysis']] | [-0.08432099014227215, 0.31297561771448457, 0.026740936001073825, 0.26179418142100364, -0.07387280885181198, -0.19864190825937342, -0.009094559549264712, 0.3537289333363918, -0.16019824912057143, -0.31188941184010305, 0.036881834957493496, -0.26734045961846226, -0.010459097740176606, 0.12714361591098752, 0.03904321313873954, 0.01007770868145848, 0.030594143825136637, -0.04511133629879723, -0.09538144735086786, -0.22107969567798436, 0.3177833727573695, 0.05961836476440299, 0.18777268234327793, 0.08011315909711873, 0.07738097343906403, -0.09424250554420972, -0.06312805248347864, -0.20055313736251365, -0.06807028111297643, 0.03798785056816797, 0.1692804649800851, 0.08668721530407872, 0.015750444749344703, -0.3584209631822289, -0.15103712240361597, 0.2216910936116968, 0.1763249399229782, 0.08280240459852431, -0.1558336348030461, -0.26141937957496114, 0.09002885473764514, -0.25323512790443964, -0.15604007718701884, -0.05032308752371847, -0.05352671945161403, -0.20304278938150774, -0.39966101969962253, 0.13016994674817647, -0.05401438960728988, -0.061372684786887205, -0.010308250472306798, -0.20505021883442692, -0.07088547164242562, -0.006354869336961475, 0.22418274654853731, -0.10320768202655017, 0.12694207273985017, -0.1646218908414857, -0.14343994889051132, 0.47281139150057755, -0.07992441476042038, -0.11085287419032969, 0.08376719624965057, -0.13147533677952133, -0.18158531324835878, 0.10538462784192333, 0.15312226805580806, 0.08885541040616186, -0.2127936790340057, 0.1703443197032743, -0.15344275608148478, 0.17716438867221906, 0.020433417030240167, 0.019989224418691578, 0.3789503619278947, 0.28308477691591605, 0.05273601186959303, -0.07620497484378874, -0.07318044174462557, -0.048112996561255, -0.4219069774326396, -0.08225736287498228, -0.056644399714184133, 0.09863408011454476, -0.10017295806845714, -0.09691823873515815, 0.4687269037614947, 0.14482917125043396, 0.23765531249905694, 0.018040185535887945, 0.274398164724778, 0.05206891874486121, 0.10429171074105248, 0.019585820533692427, 0.29568995966588796, 0.18670693809829958, 0.11333916338849558, -0.2832273089339676, -0.08297791821269752, 0.09541086869135704] |
710.5803 | Covariant Theory of Gravitation in the Spacetime with Finsler Structure | The theory of gravitation in the spacetime with Finsler structure is
constructed. It is shown that the theory keeps general covariance. Such theory
reduces to Einstein's general relativity when the Finsler structure is
Riemannian. Therefore, this covariant theory of gravitation is an elegant
realization of Einstein's thoughts on gravitation in the spacetime with Finsler
structure.
| gr-qc | the theory of gravitation in the spacetime with finsler structure is constructed it is shown that the theory keeps general covariance such theory reduces to einsteins general relativity when the finsler structure is riemannian therefore this covariant theory of gravitation is an elegant realization of einsteins thoughts on gravitation in the spacetime with finsler structure | [['the', 'theory', 'of', 'gravitation', 'in', 'the', 'spacetime', 'with', 'finsler', 'structure', 'is', 'constructed', 'it', 'is', 'shown', 'that', 'the', 'theory', 'keeps', 'general', 'covariance', 'such', 'theory', 'reduces', 'to', 'einsteins', 'general', 'relativity', 'when', 'the', 'finsler', 'structure', 'is', 'riemannian', 'therefore', 'this', 'covariant', 'theory', 'of', 'gravitation', 'is', 'an', 'elegant', 'realization', 'of', 'einsteins', 'thoughts', 'on', 'gravitation', 'in', 'the', 'spacetime', 'with', 'finsler', 'structure']] | [-0.1508881843204356, 0.0903699908852683, -0.1474555944346569, 0.11419113877610389, -0.21528269587592644, -0.1629899779165333, -0.16391109222207556, 0.2984834486703304, -0.24821491160176018, -0.24891454347155312, -0.009875495126470924, -0.23382390141487122, -0.27347397831353276, 0.11448834175667302, -0.1508358697576279, -0.01798294425349344, -0.04661811964417046, 0.12643138494511896, -0.13044288941574367, -0.24964009860784492, 0.39003597406501117, 0.16697008437053723, 0.27948510030453855, 0.001503308972513134, 0.16398875850506806, -0.013653438656844876, 0.0021363037638366224, 0.08492897941984913, -0.09629217099718516, 0.1163821964609352, 0.23119958825409412, 0.1751346550797197, 0.26112419351173394, -0.42772687490690836, -0.28551198958673263, -0.01635575902394273, 0.00761348848993128, 0.17043345495211806, -0.04492105226328766, -0.3465533048930493, 0.030429308488965034, -0.11915880380706353, -0.2025253701447086, -0.06428833276202733, 0.05745170827616345, -0.1372596898200837, -0.15325105661759153, 0.06081824375485832, 0.0404993313788013, 0.013013252704827623, -0.10639114723625508, -0.015261453197507019, 0.02930547584864226, 0.02224657382149334, 0.13442973909391598, 0.09884718980809504, 0.11392569033937021, -0.04933102685873481, -0.10742784552276134, 0.4816283334385265, -0.06333845322105018, -0.3579074942930178, 0.06055876688862389, -0.18693999123166907, -0.15419168475676667, 0.04181230943650007, 0.08349297127093781, 0.17117099701850252, -0.14869566542884885, 0.26320621249350634, -0.05229042382826182, 0.11976025412705811, 0.08110953350974755, 0.018750473892908882, 0.24774130487983878, 0.1274985904847695, 0.07809182845733383, -0.003463243930177255, 0.08142653627067127, -0.1952431856231256, -0.4243180265480822, -0.20214573473415592, -0.15007479145106944, 0.171932757103985, -0.18716344443911856, -0.21485338543954474, 0.322550958361138, 0.05198630318045616, -0.0079586009579626, 0.08094113072888418, 0.2296515858986161, 0.07602509444748813, 0.03115235868502747, 0.10217247168448838, 0.3534783366051587, 0.2846791445870291, 0.10920911603818902, -0.15652729354227302, -0.031834687582555816, 0.13983134413984688] |
710.5804 | Experimental Demonstration of the Unified Framework for the Mixed State
Geometric Phase | Geometrical phases have been applied in virtually every major branch of
physics and they play an important role in topology and knot theory in
mathematics and quantum computation. However, most of the early works focus on
pure quantum states which are very unrealistic and almost never occur in
practice. The two existed definitions -Uhlmann's and Sj\"{o}qvist's- would
result in different values for the geometric phase in general. The definition
of geometric phase in mixed state scenario is still an open question. Here we
present a unified framework for both approaches within one and the same
formalism based on simple interferometry. We then present experimental results
which confirm both approaches to mixed state geometric phase and clearly
demonstrate that their unification is possible. Our experiments are furthermore
the first such to measure Uhlmann's mixed state geometric phase and show in
addition that it is different to the Sj\"{o}qvist's phase.
| quant-ph | geometrical phases have been applied in virtually every major branch of physics and they play an important role in topology and knot theory in mathematics and quantum computation however most of the early works focus on pure quantum states which are very unrealistic and almost never occur in practice the two existed definitions uhlmanns and sjoqvists would result in different values for the geometric phase in general the definition of geometric phase in mixed state scenario is still an open question here we present a unified framework for both approaches within one and the same formalism based on simple interferometry we then present experimental results which confirm both approaches to mixed state geometric phase and clearly demonstrate that their unification is possible our experiments are furthermore the first such to measure uhlmanns mixed state geometric phase and show in addition that it is different to the sjoqvists phase | [['geometrical', 'phases', 'have', 'been', 'applied', 'in', 'virtually', 'every', 'major', 'branch', 'of', 'physics', 'and', 'they', 'play', 'an', 'important', 'role', 'in', 'topology', 'and', 'knot', 'theory', 'in', 'mathematics', 'and', 'quantum', 'computation', 'however', 'most', 'of', 'the', 'early', 'works', 'focus', 'on', 'pure', 'quantum', 'states', 'which', 'are', 'very', 'unrealistic', 'and', 'almost', 'never', 'occur', 'in', 'practice', 'the', 'two', 'existed', 'definitions', 'uhlmanns', 'and', 'sjoqvists', 'would', 'result', 'in', 'different', 'values', 'for', 'the', 'geometric', 'phase', 'in', 'general', 'the', 'definition', 'of', 'geometric', 'phase', 'in', 'mixed', 'state', 'scenario', 'is', 'still', 'an', 'open', 'question', 'here', 'we', 'present', 'a', 'unified', 'framework', 'for', 'both', 'approaches', 'within', 'one', 'and', 'the', 'same', 'formalism', 'based', 'on', 'simple', 'interferometry', 'we', 'then', 'present', 'experimental', 'results', 'which', 'confirm', 'both', 'approaches', 'to', 'mixed', 'state', 'geometric', 'phase', 'and', 'clearly', 'demonstrate', 'that', 'their', 'unification', 'is', 'possible', 'our', 'experiments', 'are', 'furthermore', 'the', 'first', 'such', 'to', 'measure', 'uhlmanns', 'mixed', 'state', 'geometric', 'phase', 'and', 'show', 'in', 'addition', 'that', 'it', 'is', 'different', 'to', 'the', 'sjoqvists', 'phase']] | [-0.09132854639845964, 0.14350486568463106, -0.149314297446088, 0.07396813713361777, -0.02970737648796137, -0.13577217626232296, 0.030568577402609414, 0.3868957820080527, -0.24850352437511303, -0.30851404425011925, 0.13248224873797432, -0.2118352118764736, -0.18879304094278343, 0.1958858191118614, -0.08398235940883951, 0.03655921670694737, 0.04437425551132286, 0.029022367773194835, -0.06819286579959899, -0.24159096088260412, 0.32464019895837426, -0.002059437776277837, 0.30487148788732105, 0.08193715339309651, 0.06333756059956776, -0.031660288144923644, -0.005420075402569587, 0.02291289348576269, -0.10755664410361819, 0.06398611819397097, 0.28541039081596553, 0.11495127807026856, 0.2222271263089082, -0.4598738519043888, -0.20409637407642112, 0.0998781407347638, 0.1239844838744157, 0.14545005292166024, -0.07174387661746563, -0.2578656822251641, 0.06472938066055003, -0.14655490876940933, -0.08286003061978478, -0.10823334806139441, 0.019114249979133066, -0.07536246322736476, -0.1911756509200555, 0.04979434597133722, 0.08103774700549826, 0.038776868614623296, -0.05862849028079375, -0.12788058590536222, 0.025195145706824754, 0.14671103524248283, 0.012518687309276261, 0.030020793654305274, 0.05846194056467128, -0.14316159632847938, -0.1464104750520575, 0.38822134943959646, -0.032767761798498975, -0.1681921616713325, 0.23010431514089696, -0.12380407036017796, -0.19232131816982612, 0.05597845937463468, 0.12345131496860556, 0.13780951735959068, -0.09793417455870913, 0.06284813018681558, -0.02739743890929712, 0.1480925897772628, 0.023292220306059676, 0.075437308114089, 0.2044242611410071, 0.13665071253231026, 0.04458095641864132, 0.12145356637304522, -0.054108603453990836, -0.19245760167720855, -0.31734206781352625, -0.1762350573496144, -0.16776762706106402, -0.007448518010652114, -0.05389001181154601, -0.1553610756495738, 0.38683251550497666, 0.16784521563166804, 0.18539901811961237, -0.016654729790513544, 0.2859771514298675, 0.0834405810057109, 0.011892067956616974, 0.04634679907020692, 0.2880962744023498, 0.12276346006826179, 0.07317403754959367, -0.17232907839814737, 0.07704162569907941, 0.038682992273482354] |
710.5805 | Estimating exposure response functions using ambient pollution
concentrations | This paper presents an approach to estimating the health effects of an
environmental hazard. The approach is general in nature, but is applied here to
the case of air pollution. It uses a computer model involving ambient pollution
and temperature inputs, to simulate the exposures experienced by individuals in
an urban area, whilst incorporating the mechanisms that determine exposures.
The output from the model comprises a set of daily exposures for a sample of
individuals from the population of interest. These daily exposures are
approximated by parametric distributions, so that the predictive exposure
distribution of a randomly selected individual can be generated. These
distributions are then incorporated into a hierarchical Bayesian framework
(with inference using Markov Chain Monte Carlo simulation) in order to examine
the relationship between short-term changes in exposures and health outcomes,
whilst making allowance for long-term trends, seasonality, the effect of
potential confounders and the possibility of ecological bias.
The paper applies this approach to particulate pollution (PM$_{10}$) and
respiratory mortality counts for seniors in greater London ($\geq$65 years)
during 1997. Within this substantive epidemiological study, the effects on
health of ambient concentrations and (estimated) personal exposures are
compared.
| stat.AP | this paper presents an approach to estimating the health effects of an environmental hazard the approach is general in nature but is applied here to the case of air pollution it uses a computer model involving ambient pollution and temperature inputs to simulate the exposures experienced by individuals in an urban area whilst incorporating the mechanisms that determine exposures the output from the model comprises a set of daily exposures for a sample of individuals from the population of interest these daily exposures are approximated by parametric distributions so that the predictive exposure distribution of a randomly selected individual can be generated these distributions are then incorporated into a hierarchical bayesian framework with inference using markov chain monte carlo simulation in order to examine the relationship between shortterm changes in exposures and health outcomes whilst making allowance for longterm trends seasonality the effect of potential confounders and the possibility of ecological bias the paper applies this approach to particulate pollution pm_10 and respiratory mortality counts for seniors in greater london geq65 years during 1997 within this substantive epidemiological study the effects on health of ambient concentrations and estimated personal exposures are compared | [['this', 'paper', 'presents', 'an', 'approach', 'to', 'estimating', 'the', 'health', 'effects', 'of', 'an', 'environmental', 'hazard', 'the', 'approach', 'is', 'general', 'in', 'nature', 'but', 'is', 'applied', 'here', 'to', 'the', 'case', 'of', 'air', 'pollution', 'it', 'uses', 'a', 'computer', 'model', 'involving', 'ambient', 'pollution', 'and', 'temperature', 'inputs', 'to', 'simulate', 'the', 'exposures', 'experienced', 'by', 'individuals', 'in', 'an', 'urban', 'area', 'whilst', 'incorporating', 'the', 'mechanisms', 'that', 'determine', 'exposures', 'the', 'output', 'from', 'the', 'model', 'comprises', 'a', 'set', 'of', 'daily', 'exposures', 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710.5806 | Bernoulli-Taylor formula in the case of Q-umbral Calculus | In this note we derive the Q-difference Bernoulli-Taylor formula with the
rest term of the Cauchy form by the Viskov's method. This is an extension of
technique by the use of Q-extented Kwasniewski's *-product . The main theorems
of Q-umbral calculus were given by G. Markowsky in 1968 and extented by
A.K.Kwasniewski.
| math.GM | in this note we derive the qdifference bernoullitaylor formula with the rest term of the cauchy form by the viskovs method this is an extension of technique by the use of qextented kwasniewskis product the main theorems of qumbral calculus were given by g markowsky in 1968 and extented by akkwasniewski | [['in', 'this', 'note', 'we', 'derive', 'the', 'qdifference', 'bernoullitaylor', 'formula', 'with', 'the', 'rest', 'term', 'of', 'the', 'cauchy', 'form', 'by', 'the', 'viskovs', 'method', 'this', 'is', 'an', 'extension', 'of', 'technique', 'by', 'the', 'use', 'of', 'qextented', 'kwasniewskis', 'product', 'the', 'main', 'theorems', 'of', 'qumbral', 'calculus', 'were', 'given', 'by', 'g', 'markowsky', 'in', '1968', 'and', 'extented', 'by', 'akkwasniewski']] | [-0.08707913474992235, 0.044969292754181066, -0.10978283118481372, 0.013799968936005012, -0.04236712924977566, -0.06442163619113729, 0.006306095118139019, 0.26366692805226816, -0.27439649569049, -0.3008593248718597, 0.12588714856277913, -0.24451040440892918, -0.17738886617441127, 0.17075213061229505, -0.12973795608775887, -0.003764282874862089, 0.038553999746812784, 0.05497775670695812, -0.057885262342368037, -0.22929825451462826, 0.3981823878204252, 0.009298472843588666, 0.19170749621426172, 0.04449265059876315, 0.09710860448552573, 0.06164988058004925, -0.10095833562948603, -0.05122302347754545, -0.16890052558378654, 0.1665771561377543, 0.22545220940671068, 0.1297037020087876, 0.28153534986554307, -0.3778614470972977, -0.10378783059484781, 0.08442335903763454, 0.07909349120281478, 0.05998635938034413, -0.002271945073090969, -0.3060722814357661, 0.08487120663073469, -0.20777835435372718, -0.1770806755632796, -0.019528681134923974, 0.04990924106157841, 0.05116783423309631, -0.1979248044180109, 0.08720913319353094, 0.1407408663071692, 0.06497809308719762, -0.07158526242215266, -0.0942840732713329, 0.04066177712198585, 0.053105332036601734, 0.06233402065675151, 0.045258514464218566, -0.005684992090422422, -0.05409371507096481, -0.11334796467835599, 0.3200042644476003, -0.13196844676945438, -0.20352412534362457, 0.04804842987474292, -0.11734682107542424, -0.11970522590576017, 0.09730353234137626, 0.0706141520826582, 0.16850991360843182, -0.18375039508843677, 0.16891461401618027, -0.09628438886175765, 0.07202638988878499, 0.11503635497486338, -0.05184458027732499, 0.12338466549965929, 0.11100839929992055, 0.02504306394567198, 0.20980618454198888, -0.021793289605448855, -0.013776087479546983, -0.3525478442774174, -0.18757775590378553, -0.16134275638676704, 0.07308215166422281, -0.09010962514730636, -0.1247619623714622, 0.3523207087059842, 0.11692731575842233, 0.14433559939324697, 0.08677797512884469, 0.2624965543918153, 0.20209980853015874, 0.07257378279191858, 0.060149091305805646, 0.17671460904022482, 0.22431922326003143, 0.10621398647731924, -0.17048017805481844, 0.04241724193413207, 0.22381069146572274] |
710.5807 | Clustering of point vortices in a periodic box | The Monte Carlo simulation of $N$ point vortices with square periodic
boundary conditions is performed where $N$ is order of 100. The clustering
property is examined by computing the $L$ function familiar in the field of
spatial ecology. The case of a positive value of $L$ corresponds to the state
of clustering and the Onsager's negative temperature.
| physics.flu-dyn | the monte carlo simulation of n point vortices with square periodic boundary conditions is performed where n is order of 100 the clustering property is examined by computing the l function familiar in the field of spatial ecology the case of a positive value of l corresponds to the state of clustering and the onsagers negative temperature | [['the', 'monte', 'carlo', 'simulation', 'of', 'n', 'point', 'vortices', 'with', 'square', 'periodic', 'boundary', 'conditions', 'is', 'performed', 'where', 'n', 'is', 'order', 'of', '100', 'the', 'clustering', 'property', 'is', 'examined', 'by', 'computing', 'the', 'l', 'function', 'familiar', 'in', 'the', 'field', 'of', 'spatial', 'ecology', 'the', 'case', 'of', 'a', 'positive', 'value', 'of', 'l', 'corresponds', 'to', 'the', 'state', 'of', 'clustering', 'and', 'the', 'onsagers', 'negative', 'temperature']] | [-0.1798912617132852, 0.1426043824962618, -0.0717785748440707, 0.05276536150516844, -0.02164116628026884, -0.12129351325954, 0.011816404821155103, 0.3122919999847287, -0.2720922900265769, -0.3119381238592037, 0.10703196434361305, -0.2898254674254802, -0.06973340931724299, 0.12354572342806741, 0.05659800903512198, 0.06754787492243115, -0.004329007380364234, 0.08187989400405633, -0.06352572608739138, -0.23331922933197857, 0.3193404038738982, 0.07671202085258667, 0.27808220628975777, 0.01068076842133642, 0.0961131777843101, 0.006079489953423801, -0.03234479759345975, 0.056917012701824046, -0.17496422246321136, 0.039128193574581756, 0.20904819804586863, 0.04884969571956613, 0.3025602135611208, -0.3697509079714093, -0.18212679254806094, 0.13268898133384555, 0.12313537767745163, 0.04660471603927905, -0.007309679775253723, -0.23011911457420833, 0.09343118305530465, -0.0950577095142778, -0.19178700918462455, 0.008706090530674709, 0.051481366657913384, 0.023604259058310276, -0.30996414698791086, 0.12177661582500789, 0.042214090351766924, 0.09517144052344456, -0.007732566397048925, -0.1569218160421179, -0.05820900887218222, 0.08675510433845614, 0.040378188781783377, 0.05354252019529476, 0.10676642811219943, -0.13270629360749012, -0.11016429198717927, 0.3550533494144155, -0.04444024987363567, -0.19639850808552614, 0.155192216351759, -0.17566696897541223, -0.069572269728636, 0.16251059994101524, 0.10094062707043792, 0.13284640032961442, -0.0895268160098216, 0.15518330361003774, -0.07583713505147516, 0.14752450832339378, 0.01960726090494478, -0.05190235129639245, 0.1612729037082509, 0.17610212681373874, 0.08582064546971467, 0.17151813898970814, -0.1318401634170298, -0.15803547789293684, -0.3048062393964644, -0.16560475975928599, -0.26697249204051077, 0.07447925901955418, -0.14734872802249524, -0.18444293005424633, 0.3323671198204944, 0.14947899729993783, 0.18640574169541269, 0.05456857884858261, 0.23851667288200637, 0.13885176090294854, 0.026400318732811956, 0.049176259061297106, 0.15558340925347516, 0.18013491189483097, 0.10679930178121778, -0.2559022649125964, 0.019420744593892442, 0.07933961418702414] |
710.5808 | Optimal approach to quantum communication using dynamic programming | Reliable preparation of entanglement between distant systems is an
outstanding problem in quantum information science and quantum communication.
In practice, this has to be accomplished via noisy channels (such as optical
fibers) that generally result in exponential attenuation of quantum signals at
large distances. A special class of quantum error correction protocols--quantum
repeater protocols--can be used to overcome such losses. In this work, we
introduce a method for systematically optimizing existing protocols and
developing new, more efficient protocols. Our approach makes use of a dynamic
programming-based searching algorithm, the complexity of which scales only
polynomially with the communication distance, letting us efficiently determine
near-optimal solutions. We find significant improvements in both the speed and
the final state fidelity for preparing long distance entangled states.
| quant-ph | reliable preparation of entanglement between distant systems is an outstanding problem in quantum information science and quantum communication in practice this has to be accomplished via noisy channels such as optical fibers that generally result in exponential attenuation of quantum signals at large distances a special class of quantum error correction protocolsquantum repeater protocolscan be used to overcome such losses in this work we introduce a method for systematically optimizing existing protocols and developing new more efficient protocols our approach makes use of a dynamic programmingbased searching algorithm the complexity of which scales only polynomially with the communication distance letting us efficiently determine nearoptimal solutions we find significant improvements in both the speed and the final state fidelity for preparing long distance entangled states | [['reliable', 'preparation', 'of', 'entanglement', 'between', 'distant', 'systems', 'is', 'an', 'outstanding', 'problem', 'in', 'quantum', 'information', 'science', 'and', 'quantum', 'communication', 'in', 'practice', 'this', 'has', 'to', 'be', 'accomplished', 'via', 'noisy', 'channels', 'such', 'as', 'optical', 'fibers', 'that', 'generally', 'result', 'in', 'exponential', 'attenuation', 'of', 'quantum', 'signals', 'at', 'large', 'distances', 'a', 'special', 'class', 'of', 'quantum', 'error', 'correction', 'protocolsquantum', 'repeater', 'protocolscan', 'be', 'used', 'to', 'overcome', 'such', 'losses', 'in', 'this', 'work', 'we', 'introduce', 'a', 'method', 'for', 'systematically', 'optimizing', 'existing', 'protocols', 'and', 'developing', 'new', 'more', 'efficient', 'protocols', 'our', 'approach', 'makes', 'use', 'of', 'a', 'dynamic', 'programmingbased', 'searching', 'algorithm', 'the', 'complexity', 'of', 'which', 'scales', 'only', 'polynomially', 'with', 'the', 'communication', 'distance', 'letting', 'us', 'efficiently', 'determine', 'nearoptimal', 'solutions', 'we', 'find', 'significant', 'improvements', 'in', 'both', 'the', 'speed', 'and', 'the', 'final', 'state', 'fidelity', 'for', 'preparing', 'long', 'distance', 'entangled', 'states']] | [-0.13698712353438108, 0.10472547022931633, -0.07743329224253043, 0.0676784861563766, -0.020842564437294105, -0.22214725041823064, 0.0837350901422381, 0.39539842982394774, -0.30729770150844804, -0.3174255833976337, 0.0814526543702518, -0.21704166796493543, -0.13234224690307603, 0.257597284773212, -0.08532708542818418, 0.15078489435836673, 0.10438967019808097, -0.016738385084222575, -0.059050153996261054, -0.2593435947000828, 0.25222933409949305, 0.08147146776471226, 0.2951200442755076, 0.03405040270862643, 0.0862293355205081, 0.023242704909997153, 0.0007854306337530495, -0.00019289797065077257, -0.10777640842373881, 0.1587718208516055, 0.32609690479995285, 0.1529558119325914, 0.31215011901756534, -0.4075404463687026, -0.22368690825151433, 0.1438259811934511, 0.13992884978804676, 0.20359603873908244, -0.042202346296584974, -0.29072738034253726, 0.03695055868736178, -0.18378284291104705, -0.09246708690685021, -0.08765152930740083, 0.022078422023189544, -0.025942394364869496, -0.2571862481580284, 0.0646965009280572, 0.01204242706336997, 0.02009369076046421, 0.03089028418629018, -0.04051120523897717, 0.0965351777773381, 0.16472998503824604, -0.0461273077335285, 0.042936954902080424, 0.09486638688573949, -0.13278635005375033, -0.16320737359709428, 0.341601752263845, -0.03240688986595354, -0.18538334095644474, 0.18552646592076197, -0.05263802866436175, -0.1251668543860194, 0.10995916349404934, 0.22560663471097644, 0.12755224133505808, -0.15528829061410954, 0.042653636879489955, 0.03538738526251228, 0.197037164734478, 0.055352552068709836, 0.15964137997333205, 0.1497313090615341, 0.15484894176975625, 0.10860811348157157, 0.17421855139889617, -0.0703858361716886, -0.11429248926932084, -0.25403759870668646, -0.1945945419920761, -0.23136935409799705, 0.0595003543536133, -0.09088965024015214, -0.12547093569148393, 0.3642222094502239, 0.17721625640759336, 0.1600540166913501, 0.07169756064760179, 0.34532967965561345, 0.06601345160075264, 0.08084256630238207, 0.13317583039798725, 0.26397950167111195, 0.10166469546889917, 0.0698599065501304, -0.21904076228193084, 0.08926890583586741, 0.005498883722838564] |
710.5809 | Spectral properties of massless and massive quarks coupled with massive
boson at finite temperature | We study the properties of massless and massive quarks coupled with a scalar
and pseudoscalar boson at finite temperature in Yukawa models at the one-loop
order. The behavior of the spectral function and the pole structure of the
propagator are analyzed as functions of temperature $T$ and the quark mass
$m_f$. It is shown that the three-peak structure of the spectral function found
in a previous work for massless quarks is formed at temperatures comparable to
the boson mass even for finite $m_f$, but gradually ceases to exist as $m_f$
becomes larger. We identify the three poles of the quark propagator
corresponding to the collective excitations of the quark in the complex energy
plane. It is shown that the three trajectories made by the poles along with a
variation of $T$ undergo a structural rearrangement at a critical quark mass
when $m_f$ is increased. This suggests that the physics content of the
collective quark excitations is changed in a drastic way at this point. The
results are nicely accounted for with the notion of the level mixing induced by
a resonant scattering of the massive boson with quarks and holes of thermally
excited anti-quarks.
| hep-ph cond-mat.str-el nucl-th | we study the properties of massless and massive quarks coupled with a scalar and pseudoscalar boson at finite temperature in yukawa models at the oneloop order the behavior of the spectral function and the pole structure of the propagator are analyzed as functions of temperature t and the quark mass m_f it is shown that the threepeak structure of the spectral function found in a previous work for massless quarks is formed at temperatures comparable to the boson mass even for finite m_f but gradually ceases to exist as m_f becomes larger we identify the three poles of the quark propagator corresponding to the collective excitations of the quark in the complex energy plane it is shown that the three trajectories made by the poles along with a variation of t undergo a structural rearrangement at a critical quark mass when m_f is increased this suggests that the physics content of the collective quark excitations is changed in a drastic way at this point the results are nicely accounted for with the notion of the level mixing induced by a resonant scattering of the massive boson with quarks and holes of thermally excited antiquarks | [['we', 'study', 'the', 'properties', 'of', 'massless', 'and', 'massive', 'quarks', 'coupled', 'with', 'a', 'scalar', 'and', 'pseudoscalar', 'boson', 'at', 'finite', 'temperature', 'in', 'yukawa', 'models', 'at', 'the', 'oneloop', 'order', 'the', 'behavior', 'of', 'the', 'spectral', 'function', 'and', 'the', 'pole', 'structure', 'of', 'the', 'propagator', 'are', 'analyzed', 'as', 'functions', 'of', 'temperature', 't', 'and', 'the', 'quark', 'mass', 'm_f', 'it', 'is', 'shown', 'that', 'the', 'threepeak', 'structure', 'of', 'the', 'spectral', 'function', 'found', 'in', 'a', 'previous', 'work', 'for', 'massless', 'quarks', 'is', 'formed', 'at', 'temperatures', 'comparable', 'to', 'the', 'boson', 'mass', 'even', 'for', 'finite', 'm_f', 'but', 'gradually', 'ceases', 'to', 'exist', 'as', 'm_f', 'becomes', 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710.581 | Note on q-extensions of Euler numbers and polynomials of higher order | In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order
twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic
q-deformed fermionic integral on $\Bbb Z_p$. By applying their generating
functions, they derived the complete sums of products of the twisted
$(h,q)$-extension of Euler polynomials and numbers, see[13, 14]. In this paper
we cosider the new $q$-extension of Euler numbers and polynomials to be
different which is treated by Ozden-Simsek-Cangul. From our $q$-Euler numbers
and polynomials we derive some interesting identities and we construct
$q$-Euler zeta functions which interpolate the new $q$-Euler numbers and
polynomials at a negative integer. Furthermore we study Barnes' type $q$-Euler
zeta functions. Finally we will derive the new formula for " sums products of
$q$-Euler numbers and polynomials" by using fermionic $p$-adic $q$-integral on
$\Bbb Z_p$.
| math.NT | in 14 ozdensimsekcangul constructed generating functions of higherorder twisted hqextension of euler polynomials and numbers by using padic qdeformed fermionic integral on bbb z_p by applying their generating functions they derived the complete sums of products of the twisted hqextension of euler polynomials and numbers see13 14 in this paper we cosider the new qextension of euler numbers and polynomials to be different which is treated by ozdensimsekcangul from our qeuler numbers and polynomials we derive some interesting identities and we construct qeuler zeta functions which interpolate the new qeuler numbers and polynomials at a negative integer furthermore we study barnes type qeuler zeta functions finally we will derive the new formula for sums products of qeuler numbers and polynomials by using fermionic padic qintegral on bbb z_p | [['in', '14', 'ozdensimsekcangul', 'constructed', 'generating', 'functions', 'of', 'higherorder', 'twisted', 'hqextension', 'of', 'euler', 'polynomials', 'and', 'numbers', 'by', 'using', 'padic', 'qdeformed', 'fermionic', 'integral', 'on', 'bbb', 'z_p', 'by', 'applying', 'their', 'generating', 'functions', 'they', 'derived', 'the', 'complete', 'sums', 'of', 'products', 'of', 'the', 'twisted', 'hqextension', 'of', 'euler', 'polynomials', 'and', 'numbers', 'see13', '14', 'in', 'this', 'paper', 'we', 'cosider', 'the', 'new', 'qextension', 'of', 'euler', 'numbers', 'and', 'polynomials', 'to', 'be', 'different', 'which', 'is', 'treated', 'by', 'ozdensimsekcangul', 'from', 'our', 'qeuler', 'numbers', 'and', 'polynomials', 'we', 'derive', 'some', 'interesting', 'identities', 'and', 'we', 'construct', 'qeuler', 'zeta', 'functions', 'which', 'interpolate', 'the', 'new', 'qeuler', 'numbers', 'and', 'polynomials', 'at', 'a', 'negative', 'integer', 'furthermore', 'we', 'study', 'barnes', 'type', 'qeuler', 'zeta', 'functions', 'finally', 'we', 'will', 'derive', 'the', 'new', 'formula', 'for', 'sums', 'products', 'of', 'qeuler', 'numbers', 'and', 'polynomials', 'by', 'using', 'fermionic', 'padic', 'qintegral', 'on', 'bbb', 'z_p']] | [-0.2552241171784699, 0.13474107256531714, -0.12786282591894269, 0.13835576760768892, -0.09791564224660397, -0.11022874766215682, 0.016991032571997494, 0.2410761004164815, -0.3163301499448717, -0.23166472329199314, 0.0490000520516187, -0.24177239868976175, -0.2006047917418182, 0.2616841578669846, -0.04053255294449627, 0.0477564652711153, -0.033832027388736606, -0.025874375842511652, -0.11477038927096873, -0.33188010071218016, 0.43461497069895266, -0.06513752538710832, 0.14580792381614446, 0.02165793228894472, 0.09053578134998679, 0.006575220223516226, -0.0792821339815855, -0.09754992434382438, -0.20164690818381495, 0.148731133421883, 0.25842743868753315, 0.07969178859144449, 0.20361848767474294, -0.3847317331582308, -0.05451184124499559, 0.16808111691474914, 0.17683547907695174, -0.04889920754916966, -0.010797723511233925, -0.2635922568589449, 0.04488436323404312, -0.21387330943346022, -0.20128445621207355, -0.147801096200943, 0.026872732400894165, 0.21932170294690878, -0.32315177376568316, 0.06475256938301027, -0.038370776534080504, 0.15743824956379832, -0.028443461558781566, -0.26140321064554156, 0.022701841288944705, 0.030366184554994107, 0.011432087132707238, -0.006129822997376323, -0.0012303450889885425, -0.13445020977966488, -0.15496061720326543, 0.3251127234995365, -0.03747322370158508, -0.2875719909071922, 0.07752149388380349, -0.19870976761728526, -0.2570106999874115, 0.09271366274356842, 0.1293910480737686, 0.18505970611423253, -0.015783181823790075, 0.08364072487922386, -0.15430292296409606, 0.019087993010878563, 0.2262698366269469, 0.011787035323679447, 0.18281418324261903, -0.1255429181754589, -0.08922248580306769, 0.2535744403237477, -0.0018890323787927627, -0.062285674411803486, -0.3232021982371807, -0.23445653327926994, -0.17520768535882233, 0.128351880826056, -0.1467893997497158, -0.17102198876440525, 0.4091326848268509, 0.07275915599614381, 0.12494736531376839, 0.20948956665024163, 0.15872687231004237, 0.21030806830246002, 0.06940467812307179, -0.031681849431246516, 0.007944153842749074, 0.251394739754498, 0.05061776134371757, -0.09488432681420818, -0.08528023480251432, 0.2892842105217278] |
710.5811 | Void-induced cross slip of screw dislocations in fcc copper | Pinning interaction between a screw dislocation and a void in fcc copper is
investigated by means of molecular dynamics simulation. A screw dislocation
bows out to undergo depinning on the original glide plane at low temperatures,
where the behavior of the depinning stress is consistent with that obtained by
a continuum model. If the temperature is higher than 300 K, the motion of a
screw dislocation is no longer restricted to a single glide plane due to cross
slip on the void surface. Several depinning mechanisms that involve multiple
glide planes are found. In particular, a depinning mechanism that produces an
intrinsic prismatic loop is found. We show that these complex depinning
mechanisms significantly increase the depinning stress.
| cond-mat.mtrl-sci cond-mat.soft | pinning interaction between a screw dislocation and a void in fcc copper is investigated by means of molecular dynamics simulation a screw dislocation bows out to undergo depinning on the original glide plane at low temperatures where the behavior of the depinning stress is consistent with that obtained by a continuum model if the temperature is higher than 300 k the motion of a screw dislocation is no longer restricted to a single glide plane due to cross slip on the void surface several depinning mechanisms that involve multiple glide planes are found in particular a depinning mechanism that produces an intrinsic prismatic loop is found we show that these complex depinning mechanisms significantly increase the depinning stress | [['pinning', 'interaction', 'between', 'a', 'screw', 'dislocation', 'and', 'a', 'void', 'in', 'fcc', 'copper', 'is', 'investigated', 'by', 'means', 'of', 'molecular', 'dynamics', 'simulation', 'a', 'screw', 'dislocation', 'bows', 'out', 'to', 'undergo', 'depinning', 'on', 'the', 'original', 'glide', 'plane', 'at', 'low', 'temperatures', 'where', 'the', 'behavior', 'of', 'the', 'depinning', 'stress', 'is', 'consistent', 'with', 'that', 'obtained', 'by', 'a', 'continuum', 'model', 'if', 'the', 'temperature', 'is', 'higher', 'than', '300', 'k', 'the', 'motion', 'of', 'a', 'screw', 'dislocation', 'is', 'no', 'longer', 'restricted', 'to', 'a', 'single', 'glide', 'plane', 'due', 'to', 'cross', 'slip', 'on', 'the', 'void', 'surface', 'several', 'depinning', 'mechanisms', 'that', 'involve', 'multiple', 'glide', 'planes', 'are', 'found', 'in', 'particular', 'a', 'depinning', 'mechanism', 'that', 'produces', 'an', 'intrinsic', 'prismatic', 'loop', 'is', 'found', 'we', 'show', 'that', 'these', 'complex', 'depinning', 'mechanisms', 'significantly', 'increase', 'the', 'depinning', 'stress']] | [-0.17745156688699537, 0.20216399849250902, -0.06096791058889259, -0.005812479845066634, -0.08610608187006881, -0.10914666107382183, 0.05480763535333454, 0.4343587332168373, -0.24149306448397495, -0.24456277598579557, 0.00515909063811335, -0.2608220183006409, -0.15796267638235525, 0.15382277614129233, 0.04465205560959244, 0.008185479229600248, -0.014646985449717712, 0.001133077274277901, -0.050956137170541586, -0.20416900581459246, 0.23406929283213437, 0.021211501836413675, 0.3731389441764203, 0.07814986462521335, 0.05790123392006982, -0.02493950373382639, 0.05110384775838673, 0.0933750401866638, -0.18522637915305232, 0.030968548310723282, 0.19649434012362843, -0.10394083797513365, 0.1746254477618357, -0.48711353687222225, -0.23508940063322248, 0.044125797084958875, 0.1374770987707869, 0.14984919259450952, -0.015491962439767321, -0.24960892675918037, 0.11512606234636978, -0.09307546569113383, -0.1254955792199757, 0.004872196868961772, 0.06599293366248199, 0.018551318699067804, -0.2060657167744081, 0.1384324723996727, 0.07935214099884665, 0.10717320711336147, -0.09990302859647673, -0.055814586966535296, -0.14483567260963431, -0.010156635329190452, 0.03889097362042452, 0.074734931862992, 0.25660907625126006, -0.11371348120501044, -0.15132335894859505, 0.447841257677745, 0.04798816078501828, -0.17315061717152092, 0.1860749568786251, -0.14785525569360766, -0.06358980776749994, 0.29230144067462216, 0.12059478481473812, 0.03865860625154386, -0.12976964084841944, -0.013087217978416879, 0.0020144878910317763, 0.1501861762825668, 0.10604332606466013, -0.1197909209531953, 0.25696135361104716, 0.19464573782614147, 0.06042762613713236, 0.14410396754520677, -0.15544145345743113, -0.12480870775594297, -0.3211927134982681, -0.12981673142817504, -0.1752925224511458, 0.02294587816301165, -0.11184234064655928, -0.193883416025852, 0.2779503547570715, 0.12351755527148055, 0.2058798880592557, 0.026849474544810542, 0.2122754641074561, 0.07735189090293469, 0.10790960323529207, 0.05622341644445087, 0.23738680517900798, 0.13716688816893405, 0.10678362572897163, -0.2724240805156592, 0.09824576448073011, 0.03490759340367454] |
710.5812 | Spatial nonlocal pair correlations in a repulsive 1D Bose gas | We analytically calculate the spatial nonlocal pair correlation function for
an interacting uniform 1D Bose gas at finite temperature and propose an
experimental method to measure nonlocal correlations. Our results span six
different physical realms, including the weakly and strongly interacting
regimes. We show explicitly that the characteristic correlation lengths are
given by one of four length scales: the thermal de Broglie wavelength, the mean
interparticle separation, the healing length, or the phase coherence length. In
all regimes, we identify the profound role of interactions and find that under
certain conditions the pair correlation may develop a global maximum at a
finite interparticle separation due to the competition between repulsive
interactions and thermal effects.
| cond-mat.other cond-mat.stat-mech | we analytically calculate the spatial nonlocal pair correlation function for an interacting uniform 1d bose gas at finite temperature and propose an experimental method to measure nonlocal correlations our results span six different physical realms including the weakly and strongly interacting regimes we show explicitly that the characteristic correlation lengths are given by one of four length scales the thermal de broglie wavelength the mean interparticle separation the healing length or the phase coherence length in all regimes we identify the profound role of interactions and find that under certain conditions the pair correlation may develop a global maximum at a finite interparticle separation due to the competition between repulsive interactions and thermal effects | [['we', 'analytically', 'calculate', 'the', 'spatial', 'nonlocal', 'pair', 'correlation', 'function', 'for', 'an', 'interacting', 'uniform', '1d', 'bose', 'gas', 'at', 'finite', 'temperature', 'and', 'propose', 'an', 'experimental', 'method', 'to', 'measure', 'nonlocal', 'correlations', 'our', 'results', 'span', 'six', 'different', 'physical', 'realms', 'including', 'the', 'weakly', 'and', 'strongly', 'interacting', 'regimes', 'we', 'show', 'explicitly', 'that', 'the', 'characteristic', 'correlation', 'lengths', 'are', 'given', 'by', 'one', 'of', 'four', 'length', 'scales', 'the', 'thermal', 'de', 'broglie', 'wavelength', 'the', 'mean', 'interparticle', 'separation', 'the', 'healing', 'length', 'or', 'the', 'phase', 'coherence', 'length', 'in', 'all', 'regimes', 'we', 'identify', 'the', 'profound', 'role', 'of', 'interactions', 'and', 'find', 'that', 'under', 'certain', 'conditions', 'the', 'pair', 'correlation', 'may', 'develop', 'a', 'global', 'maximum', 'at', 'a', 'finite', 'interparticle', 'separation', 'due', 'to', 'the', 'competition', 'between', 'repulsive', 'interactions', 'and', 'thermal', 'effects']] | [-0.18535041202956468, 0.24077464274785343, -0.10309311627969962, 0.10924055167931344, 0.015162800657236132, -0.13386300039118187, -0.03751758945975126, 0.3588591235640802, -0.2953307045002778, -0.2592957097232309, -0.012224214789743552, -0.29466532718818106, -0.10813269978429992, 0.13938503763679283, 0.09857398626933757, 0.010241380821721498, -0.003343385746375772, 4.413171687669921e-05, -0.0931806921378889, -0.22130698524109138, 0.340924460604264, 0.025032995930431706, 0.31166516893069474, 0.14828850711305758, 0.09395483861628331, 0.06148351591362275, 0.0030452212923320764, 0.049872222278888025, -0.18745876643298656, 0.009119084050772679, 0.1875899936840461, -0.0005721758097295829, 0.2681200054408819, -0.40866485992528234, -0.23555961829659186, 0.11772288307302485, 0.14971667538262218, 0.11442985682209071, 0.01907912680466676, -0.2553067353815494, -0.0008458304137252925, -0.13888836657350653, -0.13878930306977086, -0.033774009881247034, 0.08087218687624524, 0.0376756841157514, -0.2719849691881488, 0.1464196543593221, 0.03867184299273057, 0.06302172818891051, -0.053934465105269565, -0.07219335353900597, 0.010247616101415795, 0.13091221913540116, -0.008812561209356716, -0.027639713463334676, 0.13873285229579269, -0.12238275865092874, -0.06579346076499573, 0.34484045212402153, -0.09923506770773154, -0.18639313279275307, 0.2757472285608712, -0.14393334983227155, -0.05053775589668045, 0.14119226117454992, 0.13510179252510793, 0.07344206617409854, -0.14936201587695172, 0.01954810822938095, -0.012403404033791861, 0.20263756856551035, 0.0839813310089276, 0.11650258843100776, 0.2609361772213066, 0.1281200331603095, 0.05062606554527424, 0.14715383604797944, -0.11445524039108453, -0.1270405613498664, -0.3075259272989474, -0.09226801465347148, -0.17103622968231016, 0.005000497194263868, -0.1456173143524211, -0.1632067943441175, 0.3645184648942137, 0.17398936786227287, 0.194822998219088, 0.08660775171837916, 0.23436020461744383, 0.10105370202105851, 0.051937799223723186, 0.02596852123704657, 0.23920262787131624, 0.11483246390605673, 0.04457269556689681, -0.33416055990668964, 0.03034386837961185, 0.07384266535620809] |
710.5813 | Study of continuous-time quantum walks on quotient graphs via quantum
probability theory | In the present paper, we study the continuous-time quantum walk on quotient
graphs. On such graphs, there is a straightforward reduction of problem to a
subspace that can be considerably smaller than the original one. Along the
lines of reductions, by using the idea of calculation of the probability
amplitudes for continuous-time quantum walk in terms of the spectral
distribution associated with the adjacency matrix of graphs [Jafarizadeh and
Salimi (Ann. Phys 322(2007))], we show the continuous-time quantum walk on
original graph $\Gamma$ induces a continuous-time quantum walk on quotient
graph $\Gamma_H$. Finally, for example we investigate continuous-time quantum
walk on some quotient Cayley graphs.
| quant-ph | in the present paper we study the continuoustime quantum walk on quotient graphs on such graphs there is a straightforward reduction of problem to a subspace that can be considerably smaller than the original one along the lines of reductions by using the idea of calculation of the probability amplitudes for continuoustime quantum walk in terms of the spectral distribution associated with the adjacency matrix of graphs jafarizadeh and salimi ann phys 3222007 we show the continuoustime quantum walk on original graph gamma induces a continuoustime quantum walk on quotient graph gamma_h finally for example we investigate continuoustime quantum walk on some quotient cayley graphs | [['in', 'the', 'present', 'paper', 'we', 'study', 'the', 'continuoustime', 'quantum', 'walk', 'on', 'quotient', 'graphs', 'on', 'such', 'graphs', 'there', 'is', 'a', 'straightforward', 'reduction', 'of', 'problem', 'to', 'a', 'subspace', 'that', 'can', 'be', 'considerably', 'smaller', 'than', 'the', 'original', 'one', 'along', 'the', 'lines', 'of', 'reductions', 'by', 'using', 'the', 'idea', 'of', 'calculation', 'of', 'the', 'probability', 'amplitudes', 'for', 'continuoustime', 'quantum', 'walk', 'in', 'terms', 'of', 'the', 'spectral', 'distribution', 'associated', 'with', 'the', 'adjacency', 'matrix', 'of', 'graphs', 'jafarizadeh', 'and', 'salimi', 'ann', 'phys', '3222007', 'we', 'show', 'the', 'continuoustime', 'quantum', 'walk', 'on', 'original', 'graph', 'gamma', 'induces', 'a', 'continuoustime', 'quantum', 'walk', 'on', 'quotient', 'graph', 'gamma_h', 'finally', 'for', 'example', 'we', 'investigate', 'continuoustime', 'quantum', 'walk', 'on', 'some', 'quotient', 'cayley', 'graphs']] | [-0.10610297146859099, 0.12263369040328612, -0.051584321770419196, 0.04709248749417189, -0.050069605154030535, -0.12943232574418767, 0.07090760249016101, 0.42324669560580286, -0.2720393942153642, -0.21423078446820812, 0.10798080508976958, -0.2773371566882701, -0.20864363807678513, 0.18652287329935913, -0.12234366027348974, 0.07093137468310814, 0.1217033782322864, 0.08273155702440774, -0.03338092651209134, -0.23943762120720705, 0.28894275728866314, 0.021342012171127193, 0.21810629362584028, 0.032200684074710294, 0.11669547179514922, 0.07256357979879362, -0.016662974769556985, 0.02684477735220373, -0.1597286962672477, 0.07734451136999375, 0.19093498878533618, 0.07735543363067565, 0.22653573953537542, -0.3915282331804917, -0.20226394833467937, 0.215247566106467, 0.13500012035110912, 0.11577618959386951, 0.035691227950381786, -0.3417169594486217, 0.09302173199095917, -0.129281645875822, -0.05613982876382985, 0.006844527791118593, 0.021414809570946162, -0.02999141498794327, -0.223104031828856, 0.030607749961171913, 0.07766516143184843, 0.06533666795065392, 0.08961194975627135, -0.10844370662415563, 0.012907907140703456, 0.04202950436585737, -0.07834785983861578, 0.011023316304063767, 0.12194067369513575, -0.07316025634504204, -0.24528726025312705, 0.38077489042302, -0.05603422201591774, -0.20897047897999727, 0.11319488293301423, -0.12396199177064508, -0.20637639337083669, 0.0860868727842581, 0.17358244935421327, 0.10773371570535654, -0.09381333158975377, 0.17388784015060682, -0.08027066303037324, 0.09455312613976523, 0.027889500399237696, 0.03185632031239135, 0.10654690799764494, 0.13987362598525632, 0.12716841626713432, 0.2110501105181683, -0.013703584958668075, -0.18666867809189322, -0.26979568896326916, -0.17809691423893842, -0.2587045772561749, 0.1539533596273367, -0.21919320378601168, -0.2240381580370578, 0.4533377211106923, 0.15589876844122716, 0.20297371204580786, 0.15671264057644435, 0.20734738198660532, 0.1681833093515733, -0.02023891304072571, 0.12747761564220764, 0.10279428932360302, 0.20345854025234658, 0.02302171351858279, -0.20280791785188237, 0.058970814620515385, 0.1871850503409661] |
710.5814 | A class of spherically-separable non-Hermitian PphiTphi-symmetric
Hamiltonians | A family of spherical non-Hermitian potentials is studied. It is shown that
the corresponding non-Hermitian Hamiltonians admit some "new"
P$phi$T$phi$-symmetry. It is observed that whilst such P$phi$T$phi$-symmetric
Hamiltonians just copy the eigenvalues of V(r), the corresponding wavefunctions
would rather indulge some new probabilistic interpretations due to the change
in the azimuthal part.
| quant-ph | a family of spherical nonhermitian potentials is studied it is shown that the corresponding nonhermitian hamiltonians admit some new pphitphisymmetry it is observed that whilst such pphitphisymmetric hamiltonians just copy the eigenvalues of vr the corresponding wavefunctions would rather indulge some new probabilistic interpretations due to the change in the azimuthal part | [['a', 'family', 'of', 'spherical', 'nonhermitian', 'potentials', 'is', 'studied', 'it', 'is', 'shown', 'that', 'the', 'corresponding', 'nonhermitian', 'hamiltonians', 'admit', 'some', 'new', 'pphitphisymmetry', 'it', 'is', 'observed', 'that', 'whilst', 'such', 'pphitphisymmetric', 'hamiltonians', 'just', 'copy', 'the', 'eigenvalues', 'of', 'vr', 'the', 'corresponding', 'wavefunctions', 'would', 'rather', 'indulge', 'some', 'new', 'probabilistic', 'interpretations', 'due', 'to', 'the', 'change', 'in', 'the', 'azimuthal', 'part']] | [-0.12896573364501818, 0.1500950994854793, -0.09675749301910401, 0.11989523840835319, -0.09360526224598288, -0.17401988360099493, -0.05733770655002445, 0.36266895443201064, -0.2324447185592726, -0.2412513203918934, 0.043955514549743384, -0.2752684190869331, -0.20477636214345693, 0.14617504419758917, -0.09034638449666091, 0.08127892959862948, 0.07095307475887239, 0.08133429632987826, -0.10025291810743511, -0.1657740454096347, 0.304088463333901, 0.002362284818664193, 0.1813760014856234, 0.04665606079623103, 0.02384470472112298, -0.008327637212350964, 0.046710817674174905, -0.024913175236433743, -0.09899318899173522, 0.08056436220183968, 0.21277226181700826, 0.11389471173286438, 0.22417663130909204, -0.3868787908181548, -0.18099819585680962, 0.17317253413144498, 0.13733602615073323, 0.12561844142153858, -0.037677010670304295, -0.29548580811941066, 0.0022190245054662227, -0.16558601325377822, -0.21912714958190918, -0.11792033787816764, 0.08544607063755393, -0.022644466757774352, -0.2262030020542443, 0.04996095378883183, 0.09688245303928852, 0.038882205914705995, -0.04716191517654807, -0.13263175182975828, -0.06405154480598867, 0.030521491738036276, 0.041927101057954136, -0.0013991583324968815, 0.08834071826189756, -0.06812998581677675, -0.09808344483375549, 0.43121755464351735, 0.035605880878865716, -0.22263316944241524, 0.18262690417468547, -0.14296252437867224, -0.12252968177199364, 0.16378957405686378, 0.07898131750524044, 0.09405352816917002, -0.15739826114848257, 0.1357969264872372, -0.07125325487926602, 0.11215261343866587, 0.075098608545959, 0.08499549649655819, 0.16992618441581725, 0.018241167087107896, 0.07947090782225132, 0.09836581513285637, 0.001305729066953063, -0.16334855437278747, -0.31767444968223574, -0.12600279565900563, -0.25969118215143683, 0.07751236493699253, -0.07308400349225849, -0.21490256287332157, 0.4743384256958961, 0.0960045175626874, 0.21059222599491478, 0.014861144642345607, 0.19680699845775962, 0.18393551044166087, 0.13858530175872147, 0.05550411787815392, 0.24864604838425294, 0.13258337695151567, 0.0969418628141284, -0.19245563288219272, 0.03686961565166712, 0.05292595718055963] |
710.5815 | Periodic cyclic homology of reductive p-adic groups | Let G be a reductive p-adic group, H(G) its Hecke algebra and S(G) its
Schwartz algebra. We will show that these algebras have the same periodic
cyclic homology. This might be used to provide an alternative proof of the
Baum-Connes conjecture for G, modulo torsion.
As preparation for our main theorem we prove two results that have
independent interest. Firstly a general comparison theorem for the periodic
cyclic homology of finite type algebras and certain Fr\'echet completions
thereof. Secondly a refined form of the Langlands classification for G, which
clarifies the relation between the smooth spectrum and the tempered spectrum.
| math.KT math.RT | let g be a reductive padic group hg its hecke algebra and sg its schwartz algebra we will show that these algebras have the same periodic cyclic homology this might be used to provide an alternative proof of the baumconnes conjecture for g modulo torsion as preparation for our main theorem we prove two results that have independent interest firstly a general comparison theorem for the periodic cyclic homology of finite type algebras and certain frechet completions thereof secondly a refined form of the langlands classification for g which clarifies the relation between the smooth spectrum and the tempered spectrum | [['let', 'g', 'be', 'a', 'reductive', 'padic', 'group', 'hg', 'its', 'hecke', 'algebra', 'and', 'sg', 'its', 'schwartz', 'algebra', 'we', 'will', 'show', 'that', 'these', 'algebras', 'have', 'the', 'same', 'periodic', 'cyclic', 'homology', 'this', 'might', 'be', 'used', 'to', 'provide', 'an', 'alternative', 'proof', 'of', 'the', 'baumconnes', 'conjecture', 'for', 'g', 'modulo', 'torsion', 'as', 'preparation', 'for', 'our', 'main', 'theorem', 'we', 'prove', 'two', 'results', 'that', 'have', 'independent', 'interest', 'firstly', 'a', 'general', 'comparison', 'theorem', 'for', 'the', 'periodic', 'cyclic', 'homology', 'of', 'finite', 'type', 'algebras', 'and', 'certain', 'frechet', 'completions', 'thereof', 'secondly', 'a', 'refined', 'form', 'of', 'the', 'langlands', 'classification', 'for', 'g', 'which', 'clarifies', 'the', 'relation', 'between', 'the', 'smooth', 'spectrum', 'and', 'the', 'tempered', 'spectrum']] | [-0.1835187845141627, 0.07508192003835575, -0.1956105864746496, 0.08769623096450233, -0.13877795063890516, -0.14797380297910423, -0.04208462704438716, 0.3432769939862192, -0.3562616862356663, -0.2064564617536962, 0.10608562746550888, -0.1626259902282618, -0.15241854403866456, 0.2231389211723581, -0.18121611810289323, -0.043554421934532, 0.08368831670493819, 0.1079384535716963, -0.11346800623461605, -0.292786174621433, 0.3755741621390916, -0.049735104949213564, 0.21502272367011754, 0.06043885823339224, 0.03216354371747002, 0.04659943589766044, -0.027169140186160803, -0.059956777580082415, -0.18176399742791546, 0.12405865992652253, 0.3429882242716849, 0.04804842509729497, 0.2342332911491394, -0.3722255012020469, -0.14176294336095452, 0.24266262324061244, 0.12739772486500442, -0.008956055460730568, -0.048621601548511535, -0.28866586910560726, 0.13324385927175172, -0.218662333721295, -0.1529339726921171, -0.08230110229924321, 0.09837365868501365, 0.005316720169503242, -0.23705042681656777, 0.01403480390610639, 0.1350270603876561, 0.13494418527930974, -0.09906582196475938, -0.09818506292416714, -0.07800365037051961, 0.08980191649403423, -0.021617676864261737, 0.03484580960590392, 0.07821200837846845, -0.02617758802836761, -0.1475086679449305, 0.35659483846276996, -0.0574426119402051, -0.17542248252779247, 0.12009427696466446, -0.14295343235135077, -0.24049917597323656, 0.04952748220704962, 0.04108868008479476, 0.1274218135420233, -0.018320574639365077, 0.1702600039524259, -0.1443232595641166, 0.044016753248870374, 0.11086260694079102, -0.011176229139673524, 0.16066828296519817, 0.05838928009616211, 0.08993974732235074, 0.121275739884004, 0.047087620598031205, 0.024924636967480183, -0.38027333945035935, -0.20501099426299332, -0.13446090160869062, 0.12882196527905762, -0.16961857002184844, -0.19040789224207402, 0.4081309424038045, 0.10138306907843798, 0.11094190468546003, 0.1769320107263047, 0.1817744639609009, 0.0906299135601148, 0.07430960929952563, 0.02440940998494625, 0.12031499395612627, 0.2902921070344746, -0.04951899028383196, -0.16214731481624767, -0.04619775297585875, 0.2427739229053259] |
710.5816 | Localization problem of the quasiperiodic system with the spin orbit
interaction | We study one dimensional quasiperiodic system obtained from the tight-binding
model on the square lattice in a uniform magnetic field with the spin orbit
interaction. The phase diagram with respect to the Harper coupling and the
Rashba coupling are proposed from a number of numerical studies including a
multifractal analysis. There are four phases, I, II, III, and IV in this order
from weak to strong Harper coupling. In the weak coupling phase I all the wave
functions are extended, in the intermediate coupling phases II and III mobility
edges exist, and accordingly both localized and extended wave functions exist,
and in the strong Harper coupling phase IV all the wave functions are
localized. Phase I and Phase IV are related by the duality, and phases II and
III are related by the duality, as well. A localized wave function is related
to an extended wave function by the duality, and vice versa. The boundary
between phases II and III is the self-dual line on which all the wave functions
are critical. In the present model the duality does not lead to pure spectra in
contrast to the case of Harper equation.
| cond-mat.stat-mech cond-mat.mes-hall | we study one dimensional quasiperiodic system obtained from the tightbinding model on the square lattice in a uniform magnetic field with the spin orbit interaction the phase diagram with respect to the harper coupling and the rashba coupling are proposed from a number of numerical studies including a multifractal analysis there are four phases i ii iii and iv in this order from weak to strong harper coupling in the weak coupling phase i all the wave functions are extended in the intermediate coupling phases ii and iii mobility edges exist and accordingly both localized and extended wave functions exist and in the strong harper coupling phase iv all the wave functions are localized phase i and phase iv are related by the duality and phases ii and iii are related by the duality as well a localized wave function is related to an extended wave function by the duality and vice versa the boundary between phases ii and iii is the selfdual line on which all the wave functions are critical in the present model the duality does not lead to pure spectra in contrast to the case of harper equation | [['we', 'study', 'one', 'dimensional', 'quasiperiodic', 'system', 'obtained', 'from', 'the', 'tightbinding', 'model', 'on', 'the', 'square', 'lattice', 'in', 'a', 'uniform', 'magnetic', 'field', 'with', 'the', 'spin', 'orbit', 'interaction', 'the', 'phase', 'diagram', 'with', 'respect', 'to', 'the', 'harper', 'coupling', 'and', 'the', 'rashba', 'coupling', 'are', 'proposed', 'from', 'a', 'number', 'of', 'numerical', 'studies', 'including', 'a', 'multifractal', 'analysis', 'there', 'are', 'four', 'phases', 'i', 'ii', 'iii', 'and', 'iv', 'in', 'this', 'order', 'from', 'weak', 'to', 'strong', 'harper', 'coupling', 'in', 'the', 'weak', 'coupling', 'phase', 'i', 'all', 'the', 'wave', 'functions', 'are', 'extended', 'in', 'the', 'intermediate', 'coupling', 'phases', 'ii', 'and', 'iii', 'mobility', 'edges', 'exist', 'and', 'accordingly', 'both', 'localized', 'and', 'extended', 'wave', 'functions', 'exist', 'and', 'in', 'the', 'strong', 'harper', 'coupling', 'phase', 'iv', 'all', 'the', 'wave', 'functions', 'are', 'localized', 'phase', 'i', 'and', 'phase', 'iv', 'are', 'related', 'by', 'the', 'duality', 'and', 'phases', 'ii', 'and', 'iii', 'are', 'related', 'by', 'the', 'duality', 'as', 'well', 'a', 'localized', 'wave', 'function', 'is', 'related', 'to', 'an', 'extended', 'wave', 'function', 'by', 'the', 'duality', 'and', 'vice', 'versa', 'the', 'boundary', 'between', 'phases', 'ii', 'and', 'iii', 'is', 'the', 'selfdual', 'line', 'on', 'which', 'all', 'the', 'wave', 'functions', 'are', 'critical', 'in', 'the', 'present', 'model', 'the', 'duality', 'does', 'not', 'lead', 'to', 'pure', 'spectra', 'in', 'contrast', 'to', 'the', 'case', 'of', 'harper', 'equation']] | [-0.17205993781681173, 0.15893550670754544, 0.0014080125959784102, 0.06472971770866327, -0.0369557366866502, -0.167171254264152, 0.036638831507540694, 0.3691311734340464, -0.2557186272800512, -0.24491525888667334, 0.10983772659346869, -0.28737779465154745, -0.18116179274511524, 0.1268850675720993, 0.059573076228844, 0.007181923705502413, -0.032430335093522444, -0.00890421350413817, -0.11284469514309119, -0.16697314181086162, 0.35475855569529813, -0.034862982048556056, 0.2787218939289839, 0.049808652238425566, 0.0006799700956131952, 0.00967492196771976, 0.016157759104316938, 0.04615158650994999, -0.10137963667390675, 0.047823736058489885, 0.18755189384228288, 0.05273003569648912, 0.17591287475564363, -0.4213395304735362, -0.1874222313927021, 0.05863997133928933, 0.12495495303786204, 0.11776295381362918, -0.03418362308608872, -0.318304532138427, 0.013777039969378771, -0.15129618586312668, -0.12564550741565958, -0.04527001922542695, 0.015440724419628774, 0.09571685020030903, -0.27934456588263856, 0.09493968714862906, 0.05700936800288522, 0.030770287737444352, -0.07882675932099421, -0.0778130818768356, -0.0764851344586835, 0.08963656620229206, 0.04294971743487016, 0.0637878478919447, 0.015024703903084932, -0.14062685715108122, -0.10222884289881524, 0.3627852607096429, -0.0848571088792293, -0.17711593321776795, 0.2490356691632769, -0.16426774428843297, -0.0756316703336779, 0.1445368681937301, 0.12473960458495033, 0.07941881066775143, -0.08916737157687749, 0.12011750220972317, -0.008669028039397139, 0.13683012175897602, 0.015854028841810457, 0.04048345188736372, 0.22868625325888084, 0.07625332051247824, 0.0364079417680235, 0.14130158165062312, -0.0992284187535309, -0.12830606963689206, -0.32682441733777523, -0.14094630674238337, -0.17779577508978642, 0.00727483341408212, -0.08472379118188655, -0.1825898209984492, 0.45316347434709314, 0.12431327141136232, 0.1867521433183962, 0.0038756515526377675, 0.20885440574056702, 0.17009691279054096, 0.04378560116068305, 0.054320616584542826, 0.2915745061618509, 0.16009697717405894, 0.09989128924886852, -0.25388130269190395, 0.007456700839005255, 0.09682904665047924] |
710.5817 | CLePAPS: Fast Pair Alignment of Protein Structures Based on
Conformational Letters | Fast, efficient and reliable algorithms for pairwise alignment of protein
structures are in ever increasing demand for analyzing the rapidly growing data
of protein structures. CLePAPS is a tool developed for this purpose. It
distinguishes itself from other existing algorithms by the use of
conformational letters, which are discretized states of 3D segmental structural
states. A letter corresponds to a cluster of combinations of the three angles
formed by C_alpha pseudobonds of four contiguous residues. A substitution
matrix called CLESUM is available to measure similarity between any two such
letters. CLePAPS regards an aligned fragment pair (AFP) as an ungapped string
pair with a high sum of pairwise CLESUM scores. Using CLESUM scores as the
similarity measure, CLePAPS searches for AFPs by simple string comparison. The
transformation which best superimposes a highly similar AFP can be used to
superimpose the structure pairs under comparison. A highly scored AFP which is
consistent with several other AFPs determines an initial alignment. CLePAPS
then joins consistent AFPs guided by their similarity scores to extend the
alignment by several `zoom-in' iteration steps. A follow-up refinement produces
the final alignment. CLePAPS does not implement dynamic programming. The
utility of CLePAPS is tested on various protein structure pairs.
| q-bio.QM | fast efficient and reliable algorithms for pairwise alignment of protein structures are in ever increasing demand for analyzing the rapidly growing data of protein structures clepaps is a tool developed for this purpose it distinguishes itself from other existing algorithms by the use of conformational letters which are discretized states of 3d segmental structural states a letter corresponds to a cluster of combinations of the three angles formed by c_alpha pseudobonds of four contiguous residues a substitution matrix called clesum is available to measure similarity between any two such letters clepaps regards an aligned fragment pair afp as an ungapped string pair with a high sum of pairwise clesum scores using clesum scores as the similarity measure clepaps searches for afps by simple string comparison the transformation which best superimposes a highly similar afp can be used to superimpose the structure pairs under comparison a highly scored afp which is consistent with several other afps determines an initial alignment clepaps then joins consistent afps guided by their similarity scores to extend the alignment by several zoomin iteration steps a followup refinement produces the final alignment clepaps does not implement dynamic programming the utility of clepaps is tested on various protein structure pairs | [['fast', 'efficient', 'and', 'reliable', 'algorithms', 'for', 'pairwise', 'alignment', 'of', 'protein', 'structures', 'are', 'in', 'ever', 'increasing', 'demand', 'for', 'analyzing', 'the', 'rapidly', 'growing', 'data', 'of', 'protein', 'structures', 'clepaps', 'is', 'a', 'tool', 'developed', 'for', 'this', 'purpose', 'it', 'distinguishes', 'itself', 'from', 'other', 'existing', 'algorithms', 'by', 'the', 'use', 'of', 'conformational', 'letters', 'which', 'are', 'discretized', 'states', 'of', '3d', 'segmental', 'structural', 'states', 'a', 'letter', 'corresponds', 'to', 'a', 'cluster', 'of', 'combinations', 'of', 'the', 'three', 'angles', 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710.5818 | Asymptotic behavior of Tor over complete intersections and applications | Let $R$ be a local complete intersection and $M,N$ are $R$-modules such that
$\ell(\Tor_i^R(M,N))<\infty$ for $i\gg 0$. Imitating an approach by Avramov and
Buchweitz, we investigate the asymptotic behavior of $\ell(\Tor_i^R(M,N))$
using Eisenbud operators and show that they have well-behaved growth. We define
and study a function $\eta^R(M,N)$ which generalizes Serre's intersection
multiplicity $\chi^R(M,N)$ over regular local rings and Hochster's function
$\theta^R(M,N)$ over local hypersurfaces. We use good properties of
$\eta^R(M,N)$ to obtain various results on complexities of $\Tor$ and $\Ext$,
vanishing of $\Tor$, depth of tensor products, and dimensions of intersecting
modules over local complete intersections.
| math.AC | let r be a local complete intersection and mn are rmodules such that elltor_irmninfty for igg 0 imitating an approach by avramov and buchweitz we investigate the asymptotic behavior of elltor_irmn using eisenbud operators and show that they have wellbehaved growth we define and study a function etarmn which generalizes serres intersection multiplicity chirmn over regular local rings and hochsters function thetarmn over local hypersurfaces we use good properties of etarmn to obtain various results on complexities of tor and ext vanishing of tor depth of tensor products and dimensions of intersecting modules over local complete intersections | [['let', 'r', 'be', 'a', 'local', 'complete', 'intersection', 'and', 'mn', 'are', 'rmodules', 'such', 'that', 'elltor_irmninfty', 'for', 'igg', '0', 'imitating', 'an', 'approach', 'by', 'avramov', 'and', 'buchweitz', 'we', 'investigate', 'the', 'asymptotic', 'behavior', 'of', 'elltor_irmn', 'using', 'eisenbud', 'operators', 'and', 'show', 'that', 'they', 'have', 'wellbehaved', 'growth', 'we', 'define', 'and', 'study', 'a', 'function', 'etarmn', 'which', 'generalizes', 'serres', 'intersection', 'multiplicity', 'chirmn', 'over', 'regular', 'local', 'rings', 'and', 'hochsters', 'function', 'thetarmn', 'over', 'local', 'hypersurfaces', 'we', 'use', 'good', 'properties', 'of', 'etarmn', 'to', 'obtain', 'various', 'results', 'on', 'complexities', 'of', 'tor', 'and', 'ext', 'vanishing', 'of', 'tor', 'depth', 'of', 'tensor', 'products', 'and', 'dimensions', 'of', 'intersecting', 'modules', 'over', 'local', 'complete', 'intersections']] | [-0.1806340549284449, 0.0024871065674393162, -0.09217114143769492, 0.07494230746997746, -0.024674046316419493, -0.12733317027380178, -0.026832644919772726, 0.3413955992507329, -0.30540936599373, -0.196202127068498, 0.09863792910946759, -0.25682631354001195, -0.15081584462793646, 0.17619342605614072, -0.11470422266910855, -0.013844787452758833, 0.021709042872496687, 0.03320357052015734, -0.07310929460640342, -0.3423546889367012, 0.3911333491432143, 0.005327249539422465, 0.2497582844571098, 0.08945464702056986, 0.07835713831277993, 0.07389665465638205, -0.014839020608873158, 0.07377385373411516, -0.2132515614082497, 0.13860674748954538, 0.28022650136755634, 0.13452144711697986, 0.19425567012577022, -0.41384612507913465, -0.12942670877245102, 0.19581418211193202, 0.11673498478370135, 0.012163189890958204, 0.03398113048272105, -0.26318290613714485, 0.2099938044058425, -0.2047338078238561, -0.13462172653833096, -0.13140213578571003, 0.05600976082240487, 0.1003868950634509, -0.2811099393497948, 0.017940621510925858, 0.08377812698401593, 0.18293574897592868, -0.05665943178010511, -0.08867109039348069, -0.06051697723879632, 0.10681836830022243, -0.016682682134170127, -0.016882638699006657, 0.1086606991651294, -0.11071222294940726, -0.13299134627475842, 0.2591672579420137, -0.07118307069394288, -0.16186660150536797, 0.18797977484639858, -0.1542984721312238, -0.08461712263422189, 0.06991705427376124, 0.09363126444661028, 0.19858306830564698, -0.03439486685853738, 0.19354102774433649, -0.12266340812893359, 0.04643141437362838, 0.15126795870773904, 0.047698940692858384, 0.14374385732942477, 0.06893060100520705, 0.12209701324956349, 0.13572406913230584, 0.028102111304178834, -0.01311763627761668, -0.3209923948110132, -0.21989525471312496, -0.11634484870911954, 0.15299470484215807, -0.11152766111634983, -0.1684166418879733, 0.432918133700246, 0.0766466993884603, 0.23718323825748514, 0.16000863506617333, 0.23275424804855752, 0.014318360486528375, 0.06940114829730201, 0.08054998841975908, 0.09527885858071866, 0.1866343063686125, -0.0051649196398352365, -0.12195861281617289, 0.022568471095227933, 0.1690857928287197] |
710.5819 | Molecular formations in ultracold mixtures of interacting and
noninteracting atomic gases | Atom-molecule equilibrium for molecular formation processes is discussed for
boson-fermion, fermion-fermion, and boson-boson mixtures of ultracold atomic
gases in the framework of quasichemical equilibrium theory. After presentation
of the general formulation, zero-temperature phase diagrams of the
atom-molecule equilibrium states are calculated analytically; molecular, mixed,
and dissociated phases are shown to appear for the change of the binding energy
of the molecules. The temperature dependences of the atom or molecule densities
are calculated numerically, and finite-temperature phase structures are
obtained of the atom-molecule equilibrium in the mixtures. The transition
temperatures of the atom or molecule Bose-Einstein condensations are also
evaluated from these results. Quantum-statistical deviations of the law of mass
action in atom-molecule equilibrium, which should be satisfied in mixtures of
classical Maxwell-Boltzmann gases, are calculated, and the difference in the
different types of quantum-statistical effects is clarified. Mean-field
calculations with interparticle interactions (atom-atom, atom-molecule, and
molecule-molecule) are formulated, where interaction effects are found to give
the linear density-dependent term in the effective molecular binding energies.
This method is applied to calculations of zero-temperature phase diagrams,
where new phases with coexisting local-equilibrium states are shown to appear
in the case of strongly repulsive interactions.
| cond-mat.soft cond-mat.other | atommolecule equilibrium for molecular formation processes is discussed for bosonfermion fermionfermion and bosonboson mixtures of ultracold atomic gases in the framework of quasichemical equilibrium theory after presentation of the general formulation zerotemperature phase diagrams of the atommolecule equilibrium states are calculated analytically molecular mixed and dissociated phases are shown to appear for the change of the binding energy of the molecules the temperature dependences of the atom or molecule densities are calculated numerically and finitetemperature phase structures are obtained of the atommolecule equilibrium in the mixtures the transition temperatures of the atom or molecule boseeinstein condensations are also evaluated from these results quantumstatistical deviations of the law of mass action in atommolecule equilibrium which should be satisfied in mixtures of classical maxwellboltzmann gases are calculated and the difference in the different types of quantumstatistical effects is clarified meanfield calculations with interparticle interactions atomatom atommolecule and moleculemolecule are formulated where interaction effects are found to give the linear densitydependent term in the effective molecular binding energies this method is applied to calculations of zerotemperature phase diagrams where new phases with coexisting localequilibrium states are shown to appear in the case of strongly repulsive interactions | [['atommolecule', 'equilibrium', 'for', 'molecular', 'formation', 'processes', 'is', 'discussed', 'for', 'bosonfermion', 'fermionfermion', 'and', 'bosonboson', 'mixtures', 'of', 'ultracold', 'atomic', 'gases', 'in', 'the', 'framework', 'of', 'quasichemical', 'equilibrium', 'theory', 'after', 'presentation', 'of', 'the', 'general', 'formulation', 'zerotemperature', 'phase', 'diagrams', 'of', 'the', 'atommolecule', 'equilibrium', 'states', 'are', 'calculated', 'analytically', 'molecular', 'mixed', 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710.582 | The C-(symmetric) quadrilateral lattice, its transformations and the
algebro-geometric construction | The C-quadrilateral lattice (CQL), called also the symmetric lattice,
provides geometric interpretation of the discrete CKP equation within the
quadrilateral lattice (QL) theory. We discuss affine-geometric properties of
the lattice emphasizing the role of the Gallucci theorem in the
multidimensional consistency of the CQL. Then we give the algebro-geometric
construction of the lattice. We also present the reduction of the vectorial
fundamental transformation of the QL to the CQL case. In the Appendix we show a
relation between the QL and the so called Darboux maps.
| nlin.SI | the cquadrilateral lattice cql called also the symmetric lattice provides geometric interpretation of the discrete ckp equation within the quadrilateral lattice ql theory we discuss affinegeometric properties of the lattice emphasizing the role of the gallucci theorem in the multidimensional consistency of the cql then we give the algebrogeometric construction of the lattice we also present the reduction of the vectorial fundamental transformation of the ql to the cql case in the appendix we show a relation between the ql and the so called darboux maps | [['the', 'cquadrilateral', 'lattice', 'cql', 'called', 'also', 'the', 'symmetric', 'lattice', 'provides', 'geometric', 'interpretation', 'of', 'the', 'discrete', 'ckp', 'equation', 'within', 'the', 'quadrilateral', 'lattice', 'ql', 'theory', 'we', 'discuss', 'affinegeometric', 'properties', 'of', 'the', 'lattice', 'emphasizing', 'the', 'role', 'of', 'the', 'gallucci', 'theorem', 'in', 'the', 'multidimensional', 'consistency', 'of', 'the', 'cql', 'then', 'we', 'give', 'the', 'algebrogeometric', 'construction', 'of', 'the', 'lattice', 'we', 'also', 'present', 'the', 'reduction', 'of', 'the', 'vectorial', 'fundamental', 'transformation', 'of', 'the', 'ql', 'to', 'the', 'cql', 'case', 'in', 'the', 'appendix', 'we', 'show', 'a', 'relation', 'between', 'the', 'ql', 'and', 'the', 'so', 'called', 'darboux', 'maps']] | [-0.1257245716073417, 0.058716144845155735, -0.10182045702822506, 0.07469341762009121, -0.09391543233817044, -0.06934741830697194, 0.05137228668207258, 0.3139178923198155, -0.3316659982249673, -0.2085266400771659, 0.09763824570802085, -0.2539805223433567, -0.21745005034885945, 0.1335311392654798, -0.03761132041801743, 0.041807161760516465, -0.003543588687621412, 0.04341430731472515, -0.14579583091073714, -0.23162809729027295, 0.34324093105914516, 0.017633325691955786, 0.2792505031074619, 0.06970463342925844, 0.12449417652429215, 0.07921953666733489, -0.06520918386411809, -0.007903045852712932, -0.185099559093249, 0.17532241495237463, 0.15846273919478768, 0.10135926226420063, 0.17672971724754288, -0.3984335461808812, -0.15485214539824352, 0.05269272278417789, 0.10340564453508705, 0.11445083680917464, -0.02853110826496656, -0.2411247182476689, 0.06232754287442991, -0.12186661531173047, -0.163606481973104, -0.0724387305034768, -0.018879581076492156, 0.01859594718553126, -0.21196068661464823, 0.08243441799255552, 0.15532544227815898, 0.09168350372818254, -0.07994862884238717, -0.10478216577688554, -0.03948904557286629, 0.07056963517485808, 0.00396799030741455, 0.003061625197352398, -0.0003675275005488878, -0.11549747150967873, -0.11713324088625432, 0.4377730290316755, -0.030736708917261456, -0.24333721858316235, 0.10038927380117543, -0.12240909721835383, -0.16826956549526326, 0.02095725684748253, 0.11159185851214543, 0.07616480936606725, -0.09998941094991529, 0.14807357485196485, -0.1329593646473118, 0.14084249653803585, 0.07559070979256094, 0.03572970924765936, 0.15013079094101808, 0.15374389277505024, 0.011889900740546485, 0.2058935110800944, -0.05046600445556188, -0.13736082474878503, -0.37945390448328997, -0.1960739347715779, -0.12525240461608128, 0.04241153697616288, -0.134652555094016, -0.19687556256983607, 0.4023198879856084, 0.14779425942106172, 0.16535304318226518, 0.06521156813029111, 0.2067242153210654, 0.13930662745787276, 0.040299173925415654, 0.015475273908426365, 0.21271687122948824, 0.17919742469010608, 0.06340195537112388, -0.23055026088730388, -0.06784904200494998, 0.19051978104038253] |
710.5821 | Geometry dependence of the charge transfer at YBa2Cu3O7-metal interfaces | Transport in electronic devices based on high-Tc superconductors depends
critically on the charge redistribution at interfaces, since the band structure
is modified on a local scale. Using the density functional theory approach for
relaxed YBa2Cu3O7-metal contacts, the charge transfer into the superconductor
has been studied in Appl. Phys. Lett. 90, 192502 (2007). In the present paper
we discuss the systematics inherent in the local electronic structure of the
near-contact YBa2Cu3O7 sites, in particular the dependence on the contact
geometry.
| cond-mat.supr-con | transport in electronic devices based on hightc superconductors depends critically on the charge redistribution at interfaces since the band structure is modified on a local scale using the density functional theory approach for relaxed yba2cu3o7metal contacts the charge transfer into the superconductor has been studied in appl phys lett 90 192502 2007 in the present paper we discuss the systematics inherent in the local electronic structure of the nearcontact yba2cu3o7 sites in particular the dependence on the contact geometry | [['transport', 'in', 'electronic', 'devices', 'based', 'on', 'hightc', 'superconductors', 'depends', 'critically', 'on', 'the', 'charge', 'redistribution', 'at', 'interfaces', 'since', 'the', 'band', 'structure', 'is', 'modified', 'on', 'a', 'local', 'scale', 'using', 'the', 'density', 'functional', 'theory', 'approach', 'for', 'relaxed', 'yba2cu3o7metal', 'contacts', 'the', 'charge', 'transfer', 'into', 'the', 'superconductor', 'has', 'been', 'studied', 'in', 'appl', 'phys', 'lett', '90', '192502', '2007', 'in', 'the', 'present', 'paper', 'we', 'discuss', 'the', 'systematics', 'inherent', 'in', 'the', 'local', 'electronic', 'structure', 'of', 'the', 'nearcontact', 'yba2cu3o7', 'sites', 'in', 'particular', 'the', 'dependence', 'on', 'the', 'contact', 'geometry']] | [-0.15388045628409977, 0.07350224226277757, -0.061763914622511566, 0.0009652451784410454, -0.03799280920973072, -0.06833130870824801, 0.09879729685421984, 0.3626474991513344, -0.20712832856149255, -0.3020913973934465, -0.0002474226133123814, -0.3080525585365566, -0.1629384095212082, 0.15014585432923072, -0.027847421936110242, 0.007461451604817208, -0.03554164324342817, -0.0424827661534602, -0.130324357673042, -0.22962412999507475, 0.312609964044305, 0.08863294175553874, 0.3943272295057193, 0.13289278852692865, 0.050442111533280314, 0.07713168735507053, 0.04073016461009135, 0.014692935657191587, -0.20092376444319432, 0.08497734414545861, 0.21726165906308437, -0.07424382992729835, 0.21641987809524327, -0.5134266641039353, -0.24217780461147814, -0.02562883397104678, 0.058388537993388515, 0.1204989617327591, -0.03992125113772881, -0.2689314999605541, 0.06373351560784625, -0.15299250114128574, -0.05838531277020758, -0.054373776261972914, 0.05174238257739064, 0.005115558901293712, -0.17714695322369647, 0.14306351907140055, -0.0020284835950701266, 0.09091195169013816, -0.06891519315302669, -0.11751219467562321, -0.075787002607793, 0.01893384846580493, -0.022045585614109, 0.010550242736814664, 0.17900215868850228, -0.08835871541243676, -0.08905944078193083, 0.3439354691896346, -0.012377391968454634, -0.1575443441616734, 0.18960476777963825, -0.1379147830491813, -0.15218998952587318, 0.0817548648587295, 0.17400062988911355, 0.11496469002313815, -0.17756159294112403, 0.19382802548806194, -0.022465342802431, 0.16505642653769487, 0.05835168887316793, 0.07522878613226212, 0.21480144996970119, 0.22168191890957972, 0.0348281132287116, 0.08326115226977832, -0.13958614063146826, -0.08570327191891802, -0.2453248038549315, -0.15408628460552012, -0.23205471513248593, 0.07516622931587619, 0.005599108312956311, -0.17854028865626964, 0.4368646071449696, 0.16025005652291047, 0.18271137833256612, -0.10877724128545492, 0.1902026893546829, 0.10824111761984886, 0.05834911975332282, 0.11031864584097034, 0.27273633813352455, 0.17676972336583324, 0.1465907572804914, -0.2916619822370832, 0.11236563786356286, 0.03637898912314664] |
710.5822 | Hard X-ray variability of Magnetar's Tails observed with INTEGRAL | Magnetar's persistent emission above 10 keV was recently discovered thanks to
the imaging capabilities of the IBIS coded mask telescope on board the INTEGRAL
satellite. The only two sources that show some degree of long term variability
are SGR 1806-20 and 1RXS J170849.0-400910. We find some indications that
variability of these hard tails could be the driver of the spectral variability
measured in these sources below 10 keV. In addition we report for the first
time the detection at 2.8 sigma level of pulsations in the hard X-ray tail of
SGR 1806-20.
| astro-ph | magnetars persistent emission above 10 kev was recently discovered thanks to the imaging capabilities of the ibis coded mask telescope on board the integral satellite the only two sources that show some degree of long term variability are sgr 180620 and 1rxs j1708490400910 we find some indications that variability of these hard tails could be the driver of the spectral variability measured in these sources below 10 kev in addition we report for the first time the detection at 28 sigma level of pulsations in the hard xray tail of sgr 180620 | [['magnetars', 'persistent', 'emission', 'above', '10', 'kev', 'was', 'recently', 'discovered', 'thanks', 'to', 'the', 'imaging', 'capabilities', 'of', 'the', 'ibis', 'coded', 'mask', 'telescope', 'on', 'board', 'the', 'integral', 'satellite', 'the', 'only', 'two', 'sources', 'that', 'show', 'some', 'degree', 'of', 'long', 'term', 'variability', 'are', 'sgr', '180620', 'and', '1rxs', 'j1708490400910', 'we', 'find', 'some', 'indications', 'that', 'variability', 'of', 'these', 'hard', 'tails', 'could', 'be', 'the', 'driver', 'of', 'the', 'spectral', 'variability', 'measured', 'in', 'these', 'sources', 'below', '10', 'kev', 'in', 'addition', 'we', 'report', 'for', 'the', 'first', 'time', 'the', 'detection', 'at', '28', 'sigma', 'level', 'of', 'pulsations', 'in', 'the', 'hard', 'xray', 'tail', 'of', 'sgr', '180620']] | [-0.11520783516639115, 0.1399301418720785, -0.054293810141920716, 0.15465721686411163, -0.11764472862705588, -0.09882668795509507, 0.07350716925651321, 0.4778113412549314, -0.20069583482868242, -0.3918880145470409, 0.12632557140465867, -0.34609473741653823, -0.06862874794751406, 0.24034113903104773, -0.05660447567883555, 0.00787491685933555, 0.08468156258206126, -0.03304251283407211, -0.003134541785465958, -0.21010735610236778, 0.19223971946326934, 0.09203568169259993, 0.14456080447922906, 0.031493626666538745, 0.09237562605362061, -0.08173089422305803, -0.049088475031211325, -0.06970702205865603, -0.060406847852668165, 0.05104933953439088, 0.2351121903680589, 0.09412529247524419, 0.18090490132327314, -0.34931930321592675, -0.25966726707891846, 0.05147025459091705, 0.11855287041765658, -0.09858730939500358, -0.0011444929240615634, -0.3104256815884424, 0.07832051595956412, -0.20874915832198737, -0.15330144899274709, 0.04310867747129953, 0.0723574501765973, 0.05326568626333028, -0.11785056527056124, 0.0975931382867123, 0.03127959316328127, 0.0673183886050854, -0.1706224113662282, -0.0821823803100573, 0.03602638177487635, 0.06615788075546532, 0.0701112600610308, 0.06467536697828505, 0.11086716943131962, -0.12249565665083735, -0.1302694472706998, 0.30149996800489887, -0.09110562607605496, 0.07148495569582218, 0.16429046215489507, -0.26565838462430175, -0.29517741454259044, 0.2287917512408255, 0.11387989034309336, 0.09649800837201916, -0.1636562973321618, 0.02293155388843329, 0.0038676248539401136, 0.3064659911501424, 0.09570948619132294, 0.10329421666835475, 0.26191868631766463, 0.10524271473126567, 0.01531400790427933, 0.16350648588369318, -0.3853454561068919, 0.021504208611314305, -0.2711695002027504, -0.05150744463975096, -0.12468712839156228, 0.08317164232215399, -0.084052768697723, -0.11570654898431436, 0.4068384582389389, 0.10626694392007978, 0.1537342968412027, 0.022751309392649844, 0.2797532322330643, 0.13357973682856106, 0.07716076974453323, 0.12597792124902102, 0.3475342227795171, 0.10807790088912715, 0.11918062907542386, -0.19192249012311272, 0.07400956406743954, -0.020920685558255925] |
710.5823 | The complex relation between production and scattering amplitudes | The unitarity relation, Im(A)=T* A, is derived for a three-body production
amplitude, A, that consists of a complex linear combination of elements of the
two-body scattering amplitude, T. We conclude that the unitarity relation does
not impose a realness condition on the coefficients in the expansion of, A, in
terms of, T.
| hep-ph | the unitarity relation imat a is derived for a threebody production amplitude a that consists of a complex linear combination of elements of the twobody scattering amplitude t we conclude that the unitarity relation does not impose a realness condition on the coefficients in the expansion of a in terms of t | [['the', 'unitarity', 'relation', 'imat', 'a', 'is', 'derived', 'for', 'a', 'threebody', 'production', 'amplitude', 'a', 'that', 'consists', 'of', 'a', 'complex', 'linear', 'combination', 'of', 'elements', 'of', 'the', 'twobody', 'scattering', 'amplitude', 't', 'we', 'conclude', 'that', 'the', 'unitarity', 'relation', 'does', 'not', 'impose', 'a', 'realness', 'condition', 'on', 'the', 'coefficients', 'in', 'the', 'expansion', 'of', 'a', 'in', 'terms', 'of', 't']] | [-0.21679490430911896, 0.16160100804140362, -0.12311850944892146, 0.041103812805466496, -0.06328669609501958, -0.07946036632459325, 0.0797462567436294, 0.2535608624681257, -0.25132190421796763, -0.17279903816345793, 0.05009187000821559, -0.27425108269716686, -0.1310564973570693, 0.16552586754998908, 0.025095275818155363, 0.05831214914528223, 0.09365110611990811, 0.09330312453676015, -0.13972431370236266, -0.1922126554440743, 0.33122811273026925, 0.0022571475889820317, 0.20565824970029867, 0.0968332917501147, 0.11453708497664103, 0.0657857002179998, -0.024334104851452418, 0.010373920417175842, -0.12198751479921227, 0.09260886059900468, 0.17113919942997968, 0.11196787919526777, 0.17514273373839948, -0.3638587663165079, -0.18434613869668773, 0.08330071443476929, 0.1349788467722157, 0.07613051510774173, -0.017149908676331576, -0.1854421851816229, 0.03412183638339719, -0.16016264526674953, -0.1456878179899202, -0.040248601348139346, 0.05512001668103039, -0.022886721927744266, -0.36470880381798804, 0.12260395549506378, 0.10485631528382118, 0.025741738706039123, -0.031780612166935146, -0.07658783088509853, -0.0005338033840346795, 0.038976695478105776, -0.00913696294166864, 0.008711072034202516, 0.0896726988005237, -0.1886737862816797, -0.06813143650428034, 0.39475752212680304, -0.10539796611723992, -0.208644466367192, 0.15621489520596626, -0.16958432932957435, -0.14212588175611857, 0.09916225597799684, 0.14961448594784507, 0.07102286573857643, -0.1776604714194456, 0.19569111293038496, -0.0642785172094591, 0.2041966075462719, 0.11991563527128445, 0.004008832808512335, 0.15822045440570667, 0.10155179143811648, 0.026704354820629723, 0.09117123258944887, -0.04703008418884845, -0.047914507476469644, -0.4078098675952508, -0.1295396935266371, -0.1513857817134032, 0.04032035478723209, -0.09184109714204589, -0.19225896973736012, 0.33812040391449744, 0.0642364733458425, 0.2700419527693437, 0.08553825146876849, 0.286854403380018, 0.1860832791739645, 0.11268822569400072, 0.02682363454145021, 0.2883499436116276, 0.18182059013857865, 0.05421233321360957, -0.30985845232274956, 0.0783876057785864, 0.1104874203268152] |
710.5824 | Inhomogeneous charge ordering of a spinless fermionic system on the
Bethe lattice | We show that a system of spinless Fermi particles, localized on the sites of
the Bethe lattice with coordination number z and interacting through a
repulsive nearest-neighbor interaction, exhibits a phase transition to a
charge-ordered state. The phase diagram in the n-T plane is derived. Relevant
thermodynamic quantities, such as the free energy, the specific heat, the
entropy and the compressibility are analyzed in detail.
| cond-mat.str-el cond-mat.stat-mech | we show that a system of spinless fermi particles localized on the sites of the bethe lattice with coordination number z and interacting through a repulsive nearestneighbor interaction exhibits a phase transition to a chargeordered state the phase diagram in the nt plane is derived relevant thermodynamic quantities such as the free energy the specific heat the entropy and the compressibility are analyzed in detail | [['we', 'show', 'that', 'a', 'system', 'of', 'spinless', 'fermi', 'particles', 'localized', 'on', 'the', 'sites', 'of', 'the', 'bethe', 'lattice', 'with', 'coordination', 'number', 'z', 'and', 'interacting', 'through', 'a', 'repulsive', 'nearestneighbor', 'interaction', 'exhibits', 'a', 'phase', 'transition', 'to', 'a', 'chargeordered', 'state', 'the', 'phase', 'diagram', 'in', 'the', 'nt', 'plane', 'is', 'derived', 'relevant', 'thermodynamic', 'quantities', 'such', 'as', 'the', 'free', 'energy', 'the', 'specific', 'heat', 'the', 'entropy', 'and', 'the', 'compressibility', 'are', 'analyzed', 'in', 'detail']] | [-0.23303196086333347, 0.2491319123798838, -0.02011055896201959, 0.06871040174916673, 0.016163705547268575, -0.1264075967268302, 0.11900769268305829, 0.34737318404592, -0.2558107322368484, -0.23395293546983828, 0.013079279550136281, -0.36945634392591625, -0.09926557837125774, 0.11406474170776514, 0.11384784395161729, 0.011304449146756759, 0.01240050894781374, 0.09407339038398976, -0.12133711707921556, -0.20134903877400434, 0.3087541334116115, 0.02738164095924451, 0.2848247794864269, 0.07265959730944954, 0.05350289886387495, 0.028068396284316594, 0.11536319889128208, 0.061325605113345845, -0.17738975868616344, 0.030893607761558646, 0.19847002692896729, -0.034862351653954154, 0.148502413656276, -0.38338892272172065, -0.23719546883725204, 0.0712255144957453, 0.15224137291168938, 0.10704367796962078, -0.04847211570729716, -0.2919499047243824, -0.054073036204163843, -0.18441927408656247, -0.14434876669771396, -0.08072572629898786, -0.0028805337282112584, 0.08090333496578611, -0.22400727047083469, 0.14271231124249215, 0.018638944731523784, 0.06718947338656737, -0.0921204985692524, -0.08982584477008249, -0.10263327801456819, 0.10633479613237656, 0.020887857313769367, 0.04358103695110633, 0.14848525693926673, -0.14167495041799086, -0.0592863612736647, 0.40659966147862947, -0.03614429692522837, -0.16751253329790555, 0.22371462187729776, -0.14905402830873543, -0.10079462979562008, 0.17058618355972263, 0.11151690065789108, 0.05600607519826064, -0.16421168878799877, 0.10545100805242187, -0.019562272851068815, 0.17908562413560083, -0.01933441532130998, 0.01951702255039261, 0.23303961017383978, 0.17672206280896297, 0.02305846049521978, 0.23961907053509585, -0.10953979084196572, -0.17711296654664554, -0.2938738257266008, -0.18822688152297185, -0.26314394681248815, 0.025390293470655495, -0.11260975673749972, -0.20860491631409298, 0.3779343041089865, 0.122157772272476, 0.20714502721451797, -0.030781508713530806, 0.20809990489282287, 0.12679398599116562, 0.009670873867491117, 0.06545769191132142, 0.22869335948847808, 0.11287037013098597, 0.11482682546170858, -0.2861183410868622, 0.0002801274307645284, 0.12139898312206451] |
710.5825 | Evolution of the genetic code. Emergence of stop codons | What could cause the emergence of non-encoding codons in the course of
evolution of the genetic code? Hypothesis of evolution of the genetic code from
GC to the AGUC-alphabet account for existence of stop codons.
| q-bio.PE q-bio.BM | what could cause the emergence of nonencoding codons in the course of evolution of the genetic code hypothesis of evolution of the genetic code from gc to the agucalphabet account for existence of stop codons | [['what', 'could', 'cause', 'the', 'emergence', 'of', 'nonencoding', 'codons', 'in', 'the', 'course', 'of', 'evolution', 'of', 'the', 'genetic', 'code', 'hypothesis', 'of', 'evolution', 'of', 'the', 'genetic', 'code', 'from', 'gc', 'to', 'the', 'agucalphabet', 'account', 'for', 'existence', 'of', 'stop', 'codons']] | [-0.11393377980725332, 0.15564967142982464, -0.07677514184350995, 0.15498819303783504, -0.03686865119997299, -0.10463333039572745, 0.08044397909984444, 0.30380057424984197, -0.32761079221117223, -0.331148725567442, 0.07220683314230744, -0.16726081152305458, -0.13615774792252164, 0.12392253338387518, 0.0012073109885959914, -0.028493022489728348, 0.145267395186238, 0.006760267145705946, -0.005532704956942435, -0.28717036227780307, 0.33310181229855074, 0.16136125046195407, 0.18698656717033096, -0.007252028338949789, 0.0376098919377634, -0.06424272291813836, -0.08598844001464771, -0.10674864723996232, -0.07456370407828328, 0.1137293137214852, 0.2528427628179391, 0.32496589140006993, 0.297348201500647, -0.4113826287741011, -0.18446828255599196, 0.10847506680610505, 0.16925209091806953, 0.19526765992244086, -0.06230968002681479, -0.22271922178862785, 0.1237706554326878, -0.12237365196712992, -0.1446722840720957, 0.10411538477196838, 0.03302915010488394, 0.024490633358558018, -0.2072267004034736, 0.10235846556271568, 0.05708868666128679, 0.14818825318732046, -0.08072782849723642, -0.1153691608571645, -0.11377789780751547, 0.21129075516805504, 0.13890959898179228, -0.02637923645758719, 0.11563848191166692, -0.06310528178106654, -0.13008448334805894, 0.4150769379780148, -0.07105856778269465, -0.14188890520370367, 0.15612735531546854, -0.13736676083256802, -0.1156060418932501, 0.15644684208161902, 0.23826878201780896, 0.026987860515487915, -0.17818176893122267, 0.036589059978723526, 0.020883259335250565, 0.20392818613485855, 0.0719840783964504, 0.007627125716570652, 0.2932670632320823, 0.16646245613016866, -0.025986391966315834, 0.12176353563413475, -0.11662684742248419, -0.18592707320314014, -0.2947234143361901, -0.1986320074647665, -0.07477285578197827, 0.04554965177720243, -0.07100885966792703, -0.21072221411900086, 0.4651581146048777, 0.1747661790612972, 0.12298782914876938, 0.0333486550177137, 0.1626029662844358, -0.0263605415397747, 0.15656926070876193, 0.021696959396429134, 0.15176240129001212, 0.1153779471236648, 0.04953873140568083, -0.3744225095830519, 0.20192937107022965, 0.04898746201599186] |
710.5826 | On a random recursion related to absorption times of death Markov chains | Let $X_1,X_2,...$ be a sequence of random variables satisfying the
distributional recursion $X_1=0$ and $X_n= X_{n-I_n}+1$ for $n=2,3,...$, where
$I_n$ is a random variable with values in $\{1,...,n-1\}$ which is independent
of $X_2,...,X_{n-1}$. The random variable $X_n$ can be interpreted as the
absorption time of a suitable death Markov chain with state space ${\mathbb
N}:=\{1,2,...\}$ and absorbing state 1, conditioned that the chain starts in
the initial state $n$.
This paper focuses on the asymptotics of $X_n$ as $n$ tends to infinity under
the particular but important assumption that the distribution of $I_n$
satisfies ${\mathbb P}\{I_n=k\}=p_k/(p_1+...+p_{n-1})$ for some given
probability distribution $p_k={\mathbb P}\{\xi=k\}$, $k\in{\mathbb N}$.
Depending on the tail behaviour of the distribution of $\xi$, several scalings
for $X_n$ and corresponding limiting distributions come into play, among them
stable distributions and distributions of exponential integrals of
subordinators. The methods used in this paper are mainly probabilistic. The key
tool is a coupling technique which relates the distribution of $X_n$ to a
random walk, which explains, for example, the appearance of the Mittag-Leffler
distribution in this context. The results are applied to describe the
asymptotics of the number of collisions for certain beta-coalescent processes.
| math.PR math.ST stat.TH | let x_1x_2 be a sequence of random variables satisfying the distributional recursion x_10 and x_n x_ni_n1 for n23 where i_n is a random variable with values in 1n1 which is independent of x_2x_n1 the random variable x_n can be interpreted as the absorption time of a suitable death markov chain with state space mathbb n12 and absorbing state 1 conditioned that the chain starts in the initial state n this paper focuses on the asymptotics of x_n as n tends to infinity under the particular but important assumption that the distribution of i_n satisfies mathbb pi_nkp_kp_1p_n1 for some given probability distribution p_kmathbb pxik kinmathbb n depending on the tail behaviour of the distribution of xi several scalings for x_n and corresponding limiting distributions come into play among them stable distributions and distributions of exponential integrals of subordinators the methods used in this paper are mainly probabilistic the key tool is a coupling technique which relates the distribution of x_n to a random walk which explains for example the appearance of the mittagleffler distribution in this context the results are applied to describe the asymptotics of the number of collisions for certain betacoalescent processes | [['let', 'x_1x_2', 'be', 'a', 'sequence', 'of', 'random', 'variables', 'satisfying', 'the', 'distributional', 'recursion', 'x_10', 'and', 'x_n', 'x_ni_n1', 'for', 'n23', 'where', 'i_n', 'is', 'a', 'random', 'variable', 'with', 'values', 'in', '1n1', 'which', 'is', 'independent', 'of', 'x_2x_n1', 'the', 'random', 'variable', 'x_n', 'can', 'be', 'interpreted', 'as', 'the', 'absorption', 'time', 'of', 'a', 'suitable', 'death', 'markov', 'chain', 'with', 'state', 'space', 'mathbb', 'n12', 'and', 'absorbing', 'state', '1', 'conditioned', 'that', 'the', 'chain', 'starts', 'in', 'the', 'initial', 'state', 'n', 'this', 'paper', 'focuses', 'on', 'the', 'asymptotics', 'of', 'x_n', 'as', 'n', 'tends', 'to', 'infinity', 'under', 'the', 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'number', 'of', 'collisions', 'for', 'certain', 'betacoalescent', 'processes']] | [-0.1400204356747402, 0.1750648399620525, -0.11215834783443737, 0.056389401944235286, -0.007406243824702192, -0.15076211470109907, 0.01032059495225846, 0.34956679491578857, -0.2899144577120054, -0.20527383022783127, 0.10618568956975806, -0.27693492913014317, -0.07580499961461991, 0.14514515955159638, -0.05112628204787665, 0.0791924294194069, 0.015851777646333932, 0.08534714258573156, -0.015005463665844179, -0.2554109212323191, 0.3283286045848496, -0.007602548949975282, 0.25229052469590085, -0.05189751905167446, 0.11117370743607914, 0.032001876682810924, -0.00101328338496387, -0.03848388214348543, -0.1440726556952831, 0.08485947611653172, 0.21506350567970584, 0.11077065924725135, 0.27854493712669515, -0.3684140479098015, -0.16069892164260308, 0.1940164710494115, 0.22399211457454937, 0.0069691967894075476, 0.0186717134808745, -0.26449588191091145, 0.07733606278123532, -0.12010913010020344, 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710.5827 | A reversible theory of entanglement and its relation to the second law | We consider the manipulation of multipartite entangled states in the limit of
many copies under quantum operations that asymptotically cannot generate
entanglement. As announced in [Brandao and Plenio, Nature Physics 4, 8 (2008)],
and in stark contrast to the manipulation of entanglement under local
operations and classical communication, the entanglement shared by two or more
parties can be reversibly interconverted in this setting. The unique
entanglement measure is identified as the regularized relative entropy of
entanglement, which is shown to be equal to a regularized and smoothed version
of the logarithmic robustness of entanglement.
Here we give a rigorous proof of this result, which is fundamentally based on
a certain recent extension of quantum Stein's Lemma proved in [Brandao and
Plenio, Commun. Math. 295, 791 (2010)], giving the best measurement strategy
for discriminating several copies of an entangled state from an arbitrary
sequence of non-entangled states, with an optimal distinguishability rate equal
to the regularized relative entropy of entanglement. We moreover analyse the
connection of our approach to axiomatic formulations of the second law of
thermodynamics.
| quant-ph | we consider the manipulation of multipartite entangled states in the limit of many copies under quantum operations that asymptotically cannot generate entanglement as announced in brandao and plenio nature physics 4 8 2008 and in stark contrast to the manipulation of entanglement under local operations and classical communication the entanglement shared by two or more parties can be reversibly interconverted in this setting the unique entanglement measure is identified as the regularized relative entropy of entanglement which is shown to be equal to a regularized and smoothed version of the logarithmic robustness of entanglement here we give a rigorous proof of this result which is fundamentally based on a certain recent extension of quantum steins lemma proved in brandao and plenio commun math 295 791 2010 giving the best measurement strategy for discriminating several copies of an entangled state from an arbitrary sequence of nonentangled states with an optimal distinguishability rate equal to the regularized relative entropy of entanglement we moreover analyse the connection of our approach to axiomatic formulations of the second law of thermodynamics | [['we', 'consider', 'the', 'manipulation', 'of', 'multipartite', 'entangled', 'states', 'in', 'the', 'limit', 'of', 'many', 'copies', 'under', 'quantum', 'operations', 'that', 'asymptotically', 'can', 'not', 'generate', 'entanglement', 'as', 'announced', 'in', 'brandao', 'and', 'plenio', 'nature', 'physics', '4', '8', '2008', 'and', 'in', 'stark', 'contrast', 'to', 'the', 'manipulation', 'of', 'entanglement', 'under', 'local', 'operations', 'and', 'classical', 'communication', 'the', 'entanglement', 'shared', 'by', 'two', 'or', 'more', 'parties', 'can', 'be', 'reversibly', 'interconverted', 'in', 'this', 'setting', 'the', 'unique', 'entanglement', 'measure', 'is', 'identified', 'as', 'the', 'regularized', 'relative', 'entropy', 'of', 'entanglement', 'which', 'is', 'shown', 'to', 'be', 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710.5828 | Midgap states in corrugated graphene: Ab-initio calculations and
effective field theory | We investigate the electronic properties of corrugated graphene and show how
rippling-induced pseudomagnetic fields alter graphene's low-energy electronic
properties by combining first principles calculations with an effective field
theory. The formation of flat bands near the Fermi level corresponding to
pseudo-Landau levels is studied as a function of the rippling parameters.
Quenched and relaxed ripples turn out to be fundamentally different is this
respect: It is demonstrated, both numerically and analytically, that annealing
of quenched ripples can destroy the flat bands.
| cond-mat.mes-hall | we investigate the electronic properties of corrugated graphene and show how ripplinginduced pseudomagnetic fields alter graphenes lowenergy electronic properties by combining first principles calculations with an effective field theory the formation of flat bands near the fermi level corresponding to pseudolandau levels is studied as a function of the rippling parameters quenched and relaxed ripples turn out to be fundamentally different is this respect it is demonstrated both numerically and analytically that annealing of quenched ripples can destroy the flat bands | [['we', 'investigate', 'the', 'electronic', 'properties', 'of', 'corrugated', 'graphene', 'and', 'show', 'how', 'ripplinginduced', 'pseudomagnetic', 'fields', 'alter', 'graphenes', 'lowenergy', 'electronic', 'properties', 'by', 'combining', 'first', 'principles', 'calculations', 'with', 'an', 'effective', 'field', 'theory', 'the', 'formation', 'of', 'flat', 'bands', 'near', 'the', 'fermi', 'level', 'corresponding', 'to', 'pseudolandau', 'levels', 'is', 'studied', 'as', 'a', 'function', 'of', 'the', 'rippling', 'parameters', 'quenched', 'and', 'relaxed', 'ripples', 'turn', 'out', 'to', 'be', 'fundamentally', 'different', 'is', 'this', 'respect', 'it', 'is', 'demonstrated', 'both', 'numerically', 'and', 'analytically', 'that', 'annealing', 'of', 'quenched', 'ripples', 'can', 'destroy', 'the', 'flat', 'bands']] | [-0.14652917422936299, 0.18574891165208102, -0.09360319525003433, 0.10333141152805184, 0.0033779847959522157, -0.10033705382957123, 0.05378237145923777, 0.4350208222633228, -0.31460144142620267, -0.2896231888858892, 0.007543912471737713, -0.2460203984475811, -0.19332577773020604, 0.12704669332306368, 0.012194979726336897, -0.0201690110610798, -0.007835975152556785, -0.0982417561346665, -0.10212631839967798, -0.23920669633662328, 0.3123323212901596, 0.11918528738897294, 0.3528626359300688, 0.0922242386790458, 0.01594419009052217, -0.0009372817352414131, 0.08655618139309809, 0.06080693316762335, -0.17595090585864454, 0.05891530742519535, 0.19289974744897337, -0.10580229982733727, 0.20459680299973115, -0.48318071861285716, -0.21836777074204292, -0.020077861892059446, 0.12350551788695156, 0.15750651587732137, -0.01438983017578721, -0.27802961370907725, 0.0980565048463177, -0.08708478695480153, -0.2016752211318817, -0.10353299255075399, -0.02655222964967834, 0.0016347149823559449, -0.17089425306767225, 0.07980851386200812, -0.007402874370745849, 0.040652143596435056, -0.11897995446342975, -0.09183530462905765, -0.14983916570199654, 0.10897161320899613, 0.06805670257176644, 0.01599744481682137, 0.21359923364943825, -0.13386417845322285, -0.09989588831667788, 0.4112654606171418, -0.07370279560564086, -0.1517171599669382, 0.1821596482739551, -0.1496327413187828, -0.08449153760448098, 0.1583573729149066, 0.10847545036813244, 0.07722308770753443, -0.15787333050975577, 0.11559131633039214, -0.005191877821926027, 0.15888475022511556, 0.09892871377523989, 0.0895071063132491, 0.26753846628125755, 0.14810703675611875, 0.04891449564602226, 0.1432626590176369, -0.08246022770181298, -0.038304826614330524, -0.21972604162292556, -0.10788899745384697, -0.21351950997195673, 0.07396496994188055, -0.041209348628217415, -0.20562635844544275, 0.44928069222951306, 0.13604947663261555, 0.14547851068200543, -0.021518169285263865, 0.2226538816932589, 0.16778631235793, 0.06063489158113953, 0.062059656984638424, 0.2959786779887509, 0.16603764479223174, 0.025482200423721225, -0.2435377969581168, 0.004215221962658689, -0.03363163720350713] |
710.5829 | Decay of low-lying 12C resonances within a 3alpha cluster model | We compute energy distributions of three $\alpha$-particles emerging from the
decay of $^{12}$C resonances by means of the hyperspherical adiabatic expansion
method combined with complex scaling. The large distance continuum properties
of the wave functions are crucial and must be accurately calculated. The
substantial changes from small to large distances determine the decay
mechanisms. We illustrate by computing the energy distributions from decays of
the $1^{+}$ and $3^-$-resonances in $^{12}$C. These states are dominated by
direct and sequential decays into the three-body continuum respectively.
| nucl-th | we compute energy distributions of three alphaparticles emerging from the decay of 12c resonances by means of the hyperspherical adiabatic expansion method combined with complex scaling the large distance continuum properties of the wave functions are crucial and must be accurately calculated the substantial changes from small to large distances determine the decay mechanisms we illustrate by computing the energy distributions from decays of the 1 and 3resonances in 12c these states are dominated by direct and sequential decays into the threebody continuum respectively | [['we', 'compute', 'energy', 'distributions', 'of', 'three', 'alphaparticles', 'emerging', 'from', 'the', 'decay', 'of', '12c', 'resonances', 'by', 'means', 'of', 'the', 'hyperspherical', 'adiabatic', 'expansion', 'method', 'combined', 'with', 'complex', 'scaling', 'the', 'large', 'distance', 'continuum', 'properties', 'of', 'the', 'wave', 'functions', 'are', 'crucial', 'and', 'must', 'be', 'accurately', 'calculated', 'the', 'substantial', 'changes', 'from', 'small', 'to', 'large', 'distances', 'determine', 'the', 'decay', 'mechanisms', 'we', 'illustrate', 'by', 'computing', 'the', 'energy', 'distributions', 'from', 'decays', 'of', 'the', '1', 'and', '3resonances', 'in', '12c', 'these', 'states', 'are', 'dominated', 'by', 'direct', 'and', 'sequential', 'decays', 'into', 'the', 'threebody', 'continuum', 'respectively']] | [-0.04313412154863409, 0.21327451511331083, -0.07634689922567951, 0.13036210641422005, 0.03326746561643051, -0.06419894577239652, 0.030338935301560593, 0.33343691387808466, -0.29855943507099725, -0.28707194924130136, 0.01010595711862601, -0.30677148654877423, -0.046474950713475786, 0.16100183892321873, 0.09736362633755408, 0.09050248498770308, 0.08341006709666676, -0.04065077287335712, -0.06457604592980211, -0.11681711705154683, 0.34737454419843405, 0.05846888628081385, 0.21864629340784467, 0.0801701414011733, 0.022176145991108502, 0.011658231789493058, -0.050954379169382606, -0.03620242701102811, -0.15131662088076034, 0.12314532807874227, 0.19031754895029254, 0.10928114155778684, 0.19810863126473255, -0.4433138643402651, -0.1588645687225802, 0.11773862319448626, 0.1807000843095537, 0.11077593897850847, -0.010774075042411506, -0.31472840739683394, 0.07021314027461123, -0.15940841316548457, -0.12588930595105133, -0.1160949285265552, 0.05372990643695356, 0.0901949846084757, -0.2460544225289935, 0.10519133482958717, -0.041490267030894756, 0.0009870108059910406, -0.09062481609857585, -0.19293157786624618, -0.02195641894948231, 0.1481421614985868, 0.08262844214283199, -0.013912573585802892, 0.15859804175799735, -0.1087351742997227, -0.09611644288973815, 0.3831553658560278, -0.06515131406037204, -0.15245182977720018, 0.16501577660800462, -0.16558027976046663, -0.08908281745164688, 0.23110934162332888, 0.1927101548188871, 0.11996234763772731, -0.16013135701552572, 0.08161878697391801, 0.04682740212312243, 0.13157068257758686, 0.07176974595311177, 0.05040746020624436, 0.17486368397991342, 0.13618103625724115, -0.030844756138387573, 0.11914164582912597, -0.1358241002266127, -0.11487483024507401, -0.3154194381940796, -0.1123717976060797, -0.20651008484391384, 0.05909913429953242, -0.09594419427655766, -0.11186281258397433, 0.3840551579887249, 0.04145357558638396, 0.2511206916870033, 0.014538408290729466, 0.3095095574362091, 0.16437543544873415, 0.09497912226985376, 0.1011146328198802, 0.3035438788987427, 0.15619700626155966, 0.00807672705366669, -0.2613077920339777, 0.030939521565360117, 0.018494417405608726] |
710.583 | Stability analysis of a max-min fair Rate Control Protocol (RCP) in a
small buffer regime | In this note we analyse various stability properties of the max-min fair Rate
Control Protocol (RCP) operating with small buffers. We first tackle the issue
of stability for networks with arbitrary topologies. We prove that the max-min
fair RCP fluid model is globally stable in the absence of propagation delays,
and also derive a set of conditions for local stability when arbitrary
heterogeneous propagation delays are present. The network delay stability
result assumes that, at equilibrium, there is only one bottleneck link along
each route. Lastly, in the simpler setting of a single link, single delay
model, we investigate the impact of the loss of local stability via a Hopf
bifurcation.
| cs.NI | in this note we analyse various stability properties of the maxmin fair rate control protocol rcp operating with small buffers we first tackle the issue of stability for networks with arbitrary topologies we prove that the maxmin fair rcp fluid model is globally stable in the absence of propagation delays and also derive a set of conditions for local stability when arbitrary heterogeneous propagation delays are present the network delay stability result assumes that at equilibrium there is only one bottleneck link along each route lastly in the simpler setting of a single link single delay model we investigate the impact of the loss of local stability via a hopf bifurcation | [['in', 'this', 'note', 'we', 'analyse', 'various', 'stability', 'properties', 'of', 'the', 'maxmin', 'fair', 'rate', 'control', 'protocol', 'rcp', 'operating', 'with', 'small', 'buffers', 'we', 'first', 'tackle', 'the', 'issue', 'of', 'stability', 'for', 'networks', 'with', 'arbitrary', 'topologies', 'we', 'prove', 'that', 'the', 'maxmin', 'fair', 'rcp', 'fluid', 'model', 'is', 'globally', 'stable', 'in', 'the', 'absence', 'of', 'propagation', 'delays', 'and', 'also', 'derive', 'a', 'set', 'of', 'conditions', 'for', 'local', 'stability', 'when', 'arbitrary', 'heterogeneous', 'propagation', 'delays', 'are', 'present', 'the', 'network', 'delay', 'stability', 'result', 'assumes', 'that', 'at', 'equilibrium', 'there', 'is', 'only', 'one', 'bottleneck', 'link', 'along', 'each', 'route', 'lastly', 'in', 'the', 'simpler', 'setting', 'of', 'a', 'single', 'link', 'single', 'delay', 'model', 'we', 'investigate', 'the', 'impact', 'of', 'the', 'loss', 'of', 'local', 'stability', 'via', 'a', 'hopf', 'bifurcation']] | [-0.2509638329984637, 0.05350954958178976, -0.07726410744074094, 0.04326932500263357, -0.01731986509476629, -0.18501337130788947, 0.11656866351411015, 0.38455875674346546, -0.3310502793887412, -0.24373896609622617, 0.1157331964775064, -0.19417625639235248, -0.1514468400042739, 0.14702536413857192, -0.0729053527502729, 0.07839685308470114, 0.08798769960465196, 0.04855371700381642, -0.03896002405583187, -0.24123049404488894, 0.3313618545621835, 0.05627401293095973, 0.318017334819914, 0.0410854898074323, 0.08408402860886208, 0.02037217777625129, 0.01919430240921609, 0.04081096926699854, -0.16441703127418658, 0.080710391220343, 0.22130224571840182, 0.10695245182917763, 0.30077299311220107, -0.41645614725646674, -0.23116309123180873, 0.15213105471402005, 0.10442263247898302, 0.12343577709183232, -0.05485688943441051, -0.2088625744186543, 0.13923137225546278, -0.18079772426302101, -0.12932754300853555, -0.01603626720355572, -0.02184329896552807, 0.07577921206819581, -0.28351206872780044, 0.07001007880007655, 0.03591321287928401, 0.03595581383922616, -0.08575250471203781, -0.024229648510447226, -0.02470957016391965, 0.12732526257362528, 0.0030505294777318703, -0.04996791762312421, 0.08432765270432306, -0.11186568758467229, -0.11881803930527321, 0.3752561681106821, -0.05084443429216474, -0.22045058330210546, 0.1794445347470894, -0.09044654085248423, -0.12790924210420196, 0.12115885416121297, 0.19793855319605083, 0.11047035090306455, -0.15793417685579714, 0.015807431513707882, -0.0639269965121875, 0.1542592500210614, 0.10392675737153974, 0.06595936415901592, 0.1381582583779016, 0.23151651015798855, 0.16970413220995986, 0.1929590893324112, -0.049239968914572184, -0.15486660496927462, -0.300459594776233, -0.1193514855070929, -0.09405537653580173, 0.033864753622863744, -0.11620153980484328, -0.13370795693953294, 0.3871196947219941, 0.13296765951557202, 0.19859771362531023, 0.1250056655488086, 0.31847508671181696, 0.10335158069970964, -0.044073927123938594, 0.09718738325561087, 0.2608831476569354, 0.10403198874681382, 0.13040053540723281, -0.23966418631660105, 0.11159450868312437, 0.049149908502963746] |
710.5831 | A new search strategy for microquasar candidates using NVSS/2MASS and
XMM-Newton data | Microquasars are ideal natural laboratories for understanding
accretion/ejection processes, studying the physics of relativistic jets, and
testing gravitational phenomena. Nevertheless, these objects are difficult to
find in our Galaxy. The main goal of this work is to increase the number of
known systems of this kind. We have developed an improved search strategy based
on positional cross-identification with very restrictive selection criteria to
find new MQs, taking advantage of more sensitive modern radio and X-ray data.
We find 86 sources with positional coincidence in the NVSS/XMM catalogs at
|b|<10 deg. Among them, 24 are well-known objects and the remaining 62 sources
are unidentified. For the fully coincident sources, whenever possible, we
analyzed color-color and hardness ratio diagrams and found that at least 3 of
them display high-mass X-ray binary characteristics, making them potential
microquasar candidates.
| astro-ph | microquasars are ideal natural laboratories for understanding accretionejection processes studying the physics of relativistic jets and testing gravitational phenomena nevertheless these objects are difficult to find in our galaxy the main goal of this work is to increase the number of known systems of this kind we have developed an improved search strategy based on positional crossidentification with very restrictive selection criteria to find new mqs taking advantage of more sensitive modern radio and xray data we find 86 sources with positional coincidence in the nvssxmm catalogs at b10 deg among them 24 are wellknown objects and the remaining 62 sources are unidentified for the fully coincident sources whenever possible we analyzed colorcolor and hardness ratio diagrams and found that at least 3 of them display highmass xray binary characteristics making them potential microquasar candidates | [['microquasars', 'are', 'ideal', 'natural', 'laboratories', 'for', 'understanding', 'accretionejection', 'processes', 'studying', 'the', 'physics', 'of', 'relativistic', 'jets', 'and', 'testing', 'gravitational', 'phenomena', 'nevertheless', 'these', 'objects', 'are', 'difficult', 'to', 'find', 'in', 'our', 'galaxy', 'the', 'main', 'goal', 'of', 'this', 'work', 'is', 'to', 'increase', 'the', 'number', 'of', 'known', 'systems', 'of', 'this', 'kind', 'we', 'have', 'developed', 'an', 'improved', 'search', 'strategy', 'based', 'on', 'positional', 'crossidentification', 'with', 'very', 'restrictive', 'selection', 'criteria', 'to', 'find', 'new', 'mqs', 'taking', 'advantage', 'of', 'more', 'sensitive', 'modern', 'radio', 'and', 'xray', 'data', 'we', 'find', '86', 'sources', 'with', 'positional', 'coincidence', 'in', 'the', 'nvssxmm', 'catalogs', 'at', 'b10', 'deg', 'among', 'them', '24', 'are', 'wellknown', 'objects', 'and', 'the', 'remaining', '62', 'sources', 'are', 'unidentified', 'for', 'the', 'fully', 'coincident', 'sources', 'whenever', 'possible', 'we', 'analyzed', 'colorcolor', 'and', 'hardness', 'ratio', 'diagrams', 'and', 'found', 'that', 'at', 'least', '3', 'of', 'them', 'display', 'highmass', 'xray', 'binary', 'characteristics', 'making', 'them', 'potential', 'microquasar', 'candidates']] | [-0.08501354197940247, 0.07666912159038475, -0.05194340140294673, 0.16157219536974332, -0.1255092693687375, -0.13263739058191873, 0.08578832680880745, 0.43937000886662236, -0.19095631944295366, -0.4051605678770957, 0.055259365173154024, -0.3001468785823003, -0.07422227951447799, 0.2274343441223114, -0.024648427864759917, 0.022834536522182067, 0.05537408044207285, -0.06820675395012124, -0.005749031451770535, -0.2614963059383097, 0.28999350382251415, 0.09450763464669015, 0.21722615084874985, -0.029412679832929105, 0.07442682147622907, -0.025859825264440098, -0.1270076290829413, -0.009802624006380342, -0.10415960036057662, 0.06879635522517362, 0.2967760882882485, 0.13158571133876582, 0.19146653465653418, -0.3353173443908567, -0.19124577810237212, 0.11061593680381913, 0.13561443081942262, 0.04854200149316396, -0.0598645032416732, -0.27342894624435665, 0.10376481566519073, -0.1481536810250289, -0.1683941700551381, -0.03840848751741448, 0.05939731012279196, 0.05687167362914657, -0.18471563222762474, 0.06491483867154527, 0.03160854255078611, 0.058495971276911335, -0.08285206727902475, -0.1346679305268535, 0.027805833483059237, 0.11161163264065425, 0.034862153709921705, 0.04585375564794904, 0.10806031677691239, -0.16683580277056725, -0.15556221245093022, 0.4089603679838465, 0.04181185337965057, -0.06458360132406842, 0.29008097905116575, -0.1764484590176604, -0.2499574699175002, 0.1598055614401767, 0.14152025908176133, 0.11857363294962961, -0.21384109840763094, -0.02857553519859368, 0.007281093955484789, 0.1902035018672416, 0.048003664590790175, 0.11572020082335326, 0.2974745999611636, 0.12953990133680793, 0.003897542097438961, 0.15517788214970435, -0.19755301194386243, -0.044368757164790364, -0.2710137876721947, -0.0709342184379252, -0.10198232761511246, 0.050671123397369774, -0.08796153767779383, -0.10211471523333744, 0.30741231251028434, 0.13715918946736702, 0.1417259943622439, 0.0014943529333947088, 0.2783484741447688, 0.051633556946806276, 0.07241069684527816, 0.10775394760308538, 0.32330365952298934, 0.11142098535297078, 0.07322147500061833, -0.1556332807800274, 0.06408470855337749, -0.007246358851804885] |
710.5832 | Semiclassical Description of Exotic Nuclear Shapes | Exotic nuclear structures such as bubbles and tori are analyzed through
semiclassical extended Thomas-Fermi calculations with the Skyrme force SkM$^*$.
The variational equations for neutron and proton densities are solved fully
self-consistently in spherical (bubbles) and cylindrical (tori) symmetries. The
possible existence of bubble configurations in some astrophysical scenarios is
discussed. The stability of toroidal structures against change of quadrupole
moment is studied. A global minimum of the energy is found in heavy
| nucl-th | exotic nuclear structures such as bubbles and tori are analyzed through semiclassical extended thomasfermi calculations with the skyrme force skm the variational equations for neutron and proton densities are solved fully selfconsistently in spherical bubbles and cylindrical tori symmetries the possible existence of bubble configurations in some astrophysical scenarios is discussed the stability of toroidal structures against change of quadrupole moment is studied a global minimum of the energy is found in heavy | [['exotic', 'nuclear', 'structures', 'such', 'as', 'bubbles', 'and', 'tori', 'are', 'analyzed', 'through', 'semiclassical', 'extended', 'thomasfermi', 'calculations', 'with', 'the', 'skyrme', 'force', 'skm', 'the', 'variational', 'equations', 'for', 'neutron', 'and', 'proton', 'densities', 'are', 'solved', 'fully', 'selfconsistently', 'in', 'spherical', 'bubbles', 'and', 'cylindrical', 'tori', 'symmetries', 'the', 'possible', 'existence', 'of', 'bubble', 'configurations', 'in', 'some', 'astrophysical', 'scenarios', 'is', 'discussed', 'the', 'stability', 'of', 'toroidal', 'structures', 'against', 'change', 'of', 'quadrupole', 'moment', 'is', 'studied', 'a', 'global', 'minimum', 'of', 'the', 'energy', 'is', 'found', 'in', 'heavy']] | [-0.1389423164615586, 0.18076078623711858, -0.0747678465726594, 0.20183107756837335, -0.02417126778921444, -0.06797880428916558, -0.04548827447363954, 0.3417102793352806, -0.19805877224529442, -0.2815491779235332, 0.054675467990096406, -0.2545870148181303, -0.03631969061616349, 0.14171412026777558, 0.036789245111708314, 0.05244951852763148, 0.0004307816398317275, 0.013291256231166525, -0.09650190669025792, -0.16377890020870436, 0.33586730381269775, 0.06738918431562511, 0.24488174560645673, 0.0536531131102206, 0.03897559802663474, -0.06315284406396318, 0.03211617710272947, 0.06787570845335722, -0.18210012259197816, 0.057273721922035906, 0.21632673509725153, 0.012530700622560226, 0.161497777665978, -0.5190004834726657, -0.26168619066936105, 0.059062338147108276, 0.1231518610865388, 0.13183663318839486, -0.09198132154136283, -0.28178599688594475, 0.05167870551398764, -0.21186320229803454, -0.2519855586722595, -0.15300502233870633, 0.037449989416827895, 0.13027279036859535, -0.2180878522435892, 0.11576962472921977, 0.01565848164617607, 0.027436309636706863, -0.16956687046929378, -0.1474877370374711, -0.0647868500170872, 0.009261283203831886, 0.09745330292068116, -0.013051393079852099, 0.18008135164743416, -0.12768097971374653, -0.08814466733179271, 0.4137155017113849, -0.0030717521599710803, -0.2089237751413698, 0.13560845873841684, -0.1444566809278849, -0.12416643065030444, 0.19350841992266782, 0.11993608258868733, 0.15422067860753774, -0.14534393765593637, 0.12400770007253127, -0.04158795306025303, 0.11370470005801994, 0.10480904066297289, -0.020298865808760874, 0.2268051432624255, 0.16256252430022172, 0.020847188544855136, 0.11953379906560868, -0.13921916678831722, -0.17286280385770336, -0.3254369170124298, -0.04063845698064678, -0.13059442771011837, 0.025899079692077963, -0.0698203921873419, -0.16581540706580225, 0.34044508303018056, -0.004350931173164959, 0.12118329688243262, -0.09116644278959665, 0.2724817981369385, 0.062298769754842435, 0.05019409440406789, 0.10364236559540238, 0.3045470663366284, 0.22013303022576522, 0.04107914299206578, -0.26791367095206187, -0.02414052705089115, 0.1096506269667808] |
710.5833 | Right-handed sneutrinos as self-interacting dark matter in
supersymmetric economical 3-3-1 model | In this work we show that the supersymmetric economical SU(3)_C X SU(3)_L X
U(1)_X (3-3-1) gauge model has a realistic candidate for self-interacting dark
matter. In the model under consideration, the right-handed sneutrino is in
bottom of the triplet, which is a singlet of the Standard Model SU(2)_L group.
In addition, the right-handed sneutrino is the lightest slepton. By these
properties, the right-handed sneutrino is weakly interacting with the Standard
Model and stable without introduction of extra symmetry. From the
Spergel-Steinhardt condition, the typical mass limit $\leq 10 $ MeV is derived.
With self-interacting coupling constant fixed by supersymmetry, this limit is
deduced without any approximation. The condition for thermal generated
self-interacting dark matter in the Universe is also obtained.
| hep-ph | in this work we show that the supersymmetric economical su3_c x su3_l x u1_x 331 gauge model has a realistic candidate for selfinteracting dark matter in the model under consideration the righthanded sneutrino is in bottom of the triplet which is a singlet of the standard model su2_l group in addition the righthanded sneutrino is the lightest slepton by these properties the righthanded sneutrino is weakly interacting with the standard model and stable without introduction of extra symmetry from the spergelsteinhardt condition the typical mass limit leq 10 mev is derived with selfinteracting coupling constant fixed by supersymmetry this limit is deduced without any approximation the condition for thermal generated selfinteracting dark matter in the universe is also obtained | [['in', 'this', 'work', 'we', 'show', 'that', 'the', 'supersymmetric', 'economical', 'su3_c', 'x', 'su3_l', 'x', 'u1_x', '331', 'gauge', 'model', 'has', 'a', 'realistic', 'candidate', 'for', 'selfinteracting', 'dark', 'matter', 'in', 'the', 'model', 'under', 'consideration', 'the', 'righthanded', 'sneutrino', 'is', 'in', 'bottom', 'of', 'the', 'triplet', 'which', 'is', 'a', 'singlet', 'of', 'the', 'standard', 'model', 'su2_l', 'group', 'in', 'addition', 'the', 'righthanded', 'sneutrino', 'is', 'the', 'lightest', 'slepton', 'by', 'these', 'properties', 'the', 'righthanded', 'sneutrino', 'is', 'weakly', 'interacting', 'with', 'the', 'standard', 'model', 'and', 'stable', 'without', 'introduction', 'of', 'extra', 'symmetry', 'from', 'the', 'spergelsteinhardt', 'condition', 'the', 'typical', 'mass', 'limit', 'leq', '10', 'mev', 'is', 'derived', 'with', 'selfinteracting', 'coupling', 'constant', 'fixed', 'by', 'supersymmetry', 'this', 'limit', 'is', 'deduced', 'without', 'any', 'approximation', 'the', 'condition', 'for', 'thermal', 'generated', 'selfinteracting', 'dark', 'matter', 'in', 'the', 'universe', 'is', 'also', 'obtained']] | [-0.12906582480675335, 0.29364468947731714, -0.035686749937328496, 0.16462483089831578, -0.08128088471697746, -0.21490819059249203, -0.01447197778734489, 0.33756083460974556, -0.18234102934662064, -0.3314294058955827, 0.02083548073266175, -0.24252970871625082, -0.008611709025483263, 0.05582351750157521, 0.0327699461436862, -0.008215570712848803, -0.008655025605980497, 0.06189696904334981, -0.039952808582634364, -0.2881037056469753, 0.27764219020382835, -0.025545537049519056, 0.21440609594238763, 0.04038461756653752, 0.0988782554928024, -0.02471522255248185, 0.04836024966690752, -0.15617448726858377, -0.09359544203292344, 0.05678041708868754, 0.10745892999693751, 0.011482290765744144, 0.13877323864548766, -0.37333538460592597, -0.22123927202359853, 0.20987488490418862, 0.1383338035991952, 0.0682284152401627, -0.10263049310582327, -0.35658969507568467, 0.12028962134983454, -0.23177366916847936, -0.12582096664365222, -0.01611613968838109, -0.05522224173675907, -0.1713617388514202, -0.35867443513440883, 0.14251905994394093, -0.03339003960965043, -0.03938862873178165, -0.02935838613237878, -0.13117983004165087, -0.10882883407254466, -0.07317527336999774, 0.1842698183096156, -0.018920547793317446, 0.1904565293146534, -0.23613007441636616, -0.07131010218981211, 0.46291240108972886, -0.18594112896786655, -0.1971958442748982, 0.11035052166612408, -0.09289998524838079, -0.1714955736523873, 0.12303904243705446, 0.08214435685757485, 0.11751444089242209, -0.1868518097878639, 0.2842624919578804, -0.15833427023410923, 0.1664374468047014, 0.025160375943060143, 0.010293610693918447, 0.29042556727210345, 0.22926084166076982, 0.08131849297748531, 0.051835212675002164, -0.02241884736675706, -0.09566030996236002, -0.43613284025972676, -0.1396500528079726, -0.11417434654609, 0.09582236524468082, -0.11882821519815233, -0.0820679582292372, 0.4028977231611892, 0.13907406099882544, 0.1886163770726298, 0.025620786235391525, 0.2873742755470892, 0.07905568787038832, 0.05667806543376281, -0.018510480519873484, 0.27056377215342503, 0.156285584344868, 0.050415243294437306, -0.21283063209828748, -0.06329544682955464, 0.08138441619210703] |
710.5834 | Rheology of dilute polymer solutions with time-dependent screening of
hydrodynamic interactions | The screening of hydrodynamic interactions (HI) essentially affects
macroscopic properties of polymeric solutions. This screening depends not only
on the polymer concentration but has a dynamic nature. In the present work, a
bead-spring theory is developed, in which this phenomenon is described for
solutions of nonentangled polymer coils. The equation of motion for the beads
of a test polymer is solved together with the Brinkman's equation for the
solvent velocity that takes into account the presence of other coils in
solution. The time correlation functions for the polymer normal modes are
found. A tendency to the screening of HI is demonstrated on the coil diffusion
as well as on the relaxation of its internal modes. With the growing
concentration of the coils they both show a transition to the exact Rouse
behavior. The viscosity of the solution and some other observable quantities
are calculated. As the time increaes, the time-dependent quantities change
their behavior from the Rouse regime through the Zimm one again to the Rouse
dynamics at long times.
| cond-mat.soft | the screening of hydrodynamic interactions hi essentially affects macroscopic properties of polymeric solutions this screening depends not only on the polymer concentration but has a dynamic nature in the present work a beadspring theory is developed in which this phenomenon is described for solutions of nonentangled polymer coils the equation of motion for the beads of a test polymer is solved together with the brinkmans equation for the solvent velocity that takes into account the presence of other coils in solution the time correlation functions for the polymer normal modes are found a tendency to the screening of hi is demonstrated on the coil diffusion as well as on the relaxation of its internal modes with the growing concentration of the coils they both show a transition to the exact rouse behavior the viscosity of the solution and some other observable quantities are calculated as the time increaes the timedependent quantities change their behavior from the rouse regime through the zimm one again to the rouse dynamics at long times | [['the', 'screening', 'of', 'hydrodynamic', 'interactions', 'hi', 'essentially', 'affects', 'macroscopic', 'properties', 'of', 'polymeric', 'solutions', 'this', 'screening', 'depends', 'not', 'only', 'on', 'the', 'polymer', 'concentration', 'but', 'has', 'a', 'dynamic', 'nature', 'in', 'the', 'present', 'work', 'a', 'beadspring', 'theory', 'is', 'developed', 'in', 'which', 'this', 'phenomenon', 'is', 'described', 'for', 'solutions', 'of', 'nonentangled', 'polymer', 'coils', 'the', 'equation', 'of', 'motion', 'for', 'the', 'beads', 'of', 'a', 'test', 'polymer', 'is', 'solved', 'together', 'with', 'the', 'brinkmans', 'equation', 'for', 'the', 'solvent', 'velocity', 'that', 'takes', 'into', 'account', 'the', 'presence', 'of', 'other', 'coils', 'in', 'solution', 'the', 'time', 'correlation', 'functions', 'for', 'the', 'polymer', 'normal', 'modes', 'are', 'found', 'a', 'tendency', 'to', 'the', 'screening', 'of', 'hi', 'is', 'demonstrated', 'on', 'the', 'coil', 'diffusion', 'as', 'well', 'as', 'on', 'the', 'relaxation', 'of', 'its', 'internal', 'modes', 'with', 'the', 'growing', 'concentration', 'of', 'the', 'coils', 'they', 'both', 'show', 'a', 'transition', 'to', 'the', 'exact', 'rouse', 'behavior', 'the', 'viscosity', 'of', 'the', 'solution', 'and', 'some', 'other', 'observable', 'quantities', 'are', 'calculated', 'as', 'the', 'time', 'increaes', 'the', 'timedependent', 'quantities', 'change', 'their', 'behavior', 'from', 'the', 'rouse', 'regime', 'through', 'the', 'zimm', 'one', 'again', 'to', 'the', 'rouse', 'dynamics', 'at', 'long', 'times']] | [-0.12960097296080778, 0.15893136159401144, -0.10559693462051419, 0.017006509951122944, -0.027664223162336108, -0.14031546767360184, -0.022976423290657355, 0.3275719917440972, -0.2682382594766481, -0.25047326160694017, 0.07700563696166225, -0.2849442996938862, -0.11645617718758756, 0.1578192641991659, 0.04347575477947145, 0.045348325856897936, 0.028594352864968926, 0.040121630049095705, -0.030816030941391088, -0.1728489806093055, 0.22767256645309414, 0.04627098588044921, 0.2858965593629886, 0.05872302511899826, 0.12397231051103162, -0.021248317522702176, 0.03629152606015463, 0.07373212220577094, -0.17277910387490156, 0.044549588475668436, 0.20124679553107575, 0.028313770490704028, 0.2496358667605022, -0.4639345598599967, -0.23667979250887972, 0.04209097856228631, 0.1703895500278343, 0.1487634696979792, -0.009238259509321545, -0.2603820193801406, 0.029005903144471743, -0.13092024329245178, -0.14068673817804578, -0.046764612655271084, 0.05223928103857183, 0.09082358308169527, -0.23675353538807062, 0.14012904489928163, 0.05778770985773395, 0.01137704878340106, -0.09248917215275054, -0.08762767778009661, -0.014958389920386426, 0.12217292114375876, 0.13374377262004314, -0.015262030074703534, 0.21711729477575054, -0.1646951912714929, -0.025248827329718303, 0.38737429018248115, -0.059447732417893834, -0.22143010246268124, 0.21111296288002304, -0.15090174962540526, -0.07098571688609098, 0.1536234156945004, 0.11666830769084262, 0.11662634722502714, -0.16287149641574664, 0.06621579505946967, -0.017700791014523726, 0.1853778167881248, 0.04769172119086928, -0.0045014152209654715, 0.19901376972581156, 0.1846631645616254, 0.009837603718045818, 0.16379277123456557, -0.07744688077102355, -0.13283064308680992, -0.26316094189743133, -0.175987957135675, -0.2144216289358026, 0.04837809156596498, -0.11944015425918886, -0.22210201520759326, 0.39469914909275855, 0.09946061909534919, 0.1851531064479485, 0.09520896804207639, 0.24938514040639767, 0.10853825565551535, 0.07720031553587309, 0.02458576937398967, 0.2705522204768918, 0.14766465760243935, 0.13167399796657264, -0.2924415097646305, 0.11378285201464797, 0.07829522061679711] |
710.5835 | On finite index subgroups of a universal group | The orbifold group of the Borromean rings with singular angle 90 degrees,
$U$, is a universal group, because every closed oriented 3--manifold $M^{3}$
occurs as a quotient space $M^{3} = H^{3}/G$, where $G$ is a finite index
subgroup of $U$. Therefore, an interesting, but quite difficult problem, is to
classify the finite index subgroups of the universal group $U$. One of the
purposes of this paper is to begin this classification. In particular we
analyze the classification of the finite index subgroups of $U$ that are
generated by rotations.
| math.GT | the orbifold group of the borromean rings with singular angle 90 degrees u is a universal group because every closed oriented 3manifold m3 occurs as a quotient space m3 h3g where g is a finite index subgroup of u therefore an interesting but quite difficult problem is to classify the finite index subgroups of the universal group u one of the purposes of this paper is to begin this classification in particular we analyze the classification of the finite index subgroups of u that are generated by rotations | [['the', 'orbifold', 'group', 'of', 'the', 'borromean', 'rings', 'with', 'singular', 'angle', '90', 'degrees', 'u', 'is', 'a', 'universal', 'group', 'because', 'every', 'closed', 'oriented', '3manifold', 'm3', 'occurs', 'as', 'a', 'quotient', 'space', 'm3', 'h3g', 'where', 'g', 'is', 'a', 'finite', 'index', 'subgroup', 'of', 'u', 'therefore', 'an', 'interesting', 'but', 'quite', 'difficult', 'problem', 'is', 'to', 'classify', 'the', 'finite', 'index', 'subgroups', 'of', 'the', 'universal', 'group', 'u', 'one', 'of', 'the', 'purposes', 'of', 'this', 'paper', 'is', 'to', 'begin', 'this', 'classification', 'in', 'particular', 'we', 'analyze', 'the', 'classification', 'of', 'the', 'finite', 'index', 'subgroups', 'of', 'u', 'that', 'are', 'generated', 'by', 'rotations']] | [-0.23249095441000958, 0.1343894847524842, -0.09549921275836161, 0.048054412261328915, -0.08961991996462033, -0.15087371976749803, 0.03630986562215681, 0.37055626655505464, -0.3301489143209024, -0.24029027922502297, 0.11157484805417797, -0.2653148989933966, -0.0963653902237473, 0.16815219102004034, -0.1455772427884354, -0.074198657032949, 0.03474279885730622, 0.14083090992856093, -0.10244523671281058, -0.2560004515319385, 0.36153508485718205, -0.056634891540108416, 0.23348136284303936, 0.026689517645122993, 0.08405717828480358, -0.012101954738186165, 0.001542983756569976, 0.0320567527031182, -0.1141978491271154, 0.10270296657770152, 0.3035277881638401, 0.031308151612227615, 0.22438643361568789, -0.29788557020252815, -0.17052979501419363, 0.21102020229128274, 0.15072857187955047, -0.012239366478752345, -0.027678672528550538, -0.2565077925947579, 0.12360573808175766, -0.2022346001017881, -0.20000663111303849, -0.012637296183542772, 0.15170298966007645, -0.04732735742899505, -0.21052153302695265, 0.02771142929982902, 0.057299554337408735, 0.09115973900241608, -0.006979039221980863, -0.08803392391101542, -0.04493888954377987, 0.15937726105965505, 0.03752252739981155, 0.0791037221047604, 0.0870685820482322, -0.09806462875779041, -0.060750153942287645, 0.4538978422192899, -0.0450591837500476, -0.19795980461111123, 0.13359113705915993, -0.15778916301629084, -0.16141941657670858, 0.13028094947168772, 0.09831667092591735, 0.1695420148528435, -0.06737525780177252, 0.19640473211819137, -0.13429632618896326, 0.12903401408535006, 0.042235481431072745, -0.045295687556393786, 0.11709718087381175, 0.1366412407263521, 0.10942397713237866, 0.13560430058913137, -0.02593979078069837, 0.05737593949941749, -0.35471838514786214, -0.16813952893823048, -0.12473899223418398, 0.10307672954249111, -0.10704290632962842, -0.20905799969014796, 0.41547817112190055, 0.02786218464924869, 0.1609885587822646, 0.03869257337117398, 0.21796011505648494, 0.054008218892373734, 0.03040191395187073, 0.09767765277435748, 0.1140627792020413, 0.18425688505521975, -0.08434819324280728, -0.17538105394024486, -0.03254808711459522, 0.1529551228741184] |
710.5836 | Tidal synchronization of the subdwarf B binary PG 0101+039 | Tidally locked rotation is a frequently applied assumption that helps to
measure masses of invisible compact companions in close binaries. The
calculations of synchronization times are affected by large uncertainties in
particular for stars with radiative envelopes calling for observational
constraints. We aim at verifying tidally locked rotation for the binary PG
0101+039, a subdwarf B star + white dwarf binary from its tiny (0.025 %) light
variations measured with the MOST satellite (Randall et al. 2005). Binary
parameters were derived from the mass function, apparent rotation and surface
gravity of PG 0101+039 assuming a canonical mass of 0.47 Mo and tidally locked
rotation. The light curve was then synthesised and was found to match the
observed amplitude well. We verified that the light variations are due to
ellipsoidal deformation and that tidal synchronization is established for PG
0101+039. We conclude that this assumption should hold for all sdB binaries
with orbital periods of less than half a day. Hence the masses can be derived
from systems too faint to measure tiny light variations.
| astro-ph | tidally locked rotation is a frequently applied assumption that helps to measure masses of invisible compact companions in close binaries the calculations of synchronization times are affected by large uncertainties in particular for stars with radiative envelopes calling for observational constraints we aim at verifying tidally locked rotation for the binary pg 0101039 a subdwarf b star white dwarf binary from its tiny 0025 light variations measured with the most satellite randall et al 2005 binary parameters were derived from the mass function apparent rotation and surface gravity of pg 0101039 assuming a canonical mass of 047 mo and tidally locked rotation the light curve was then synthesised and was found to match the observed amplitude well we verified that the light variations are due to ellipsoidal deformation and that tidal synchronization is established for pg 0101039 we conclude that this assumption should hold for all sdb binaries with orbital periods of less than half a day hence the masses can be derived from systems too faint to measure tiny light variations | [['tidally', 'locked', 'rotation', 'is', 'a', 'frequently', 'applied', 'assumption', 'that', 'helps', 'to', 'measure', 'masses', 'of', 'invisible', 'compact', 'companions', 'in', 'close', 'binaries', 'the', 'calculations', 'of', 'synchronization', 'times', 'are', 'affected', 'by', 'large', 'uncertainties', 'in', 'particular', 'for', 'stars', 'with', 'radiative', 'envelopes', 'calling', 'for', 'observational', 'constraints', 'we', 'aim', 'at', 'verifying', 'tidally', 'locked', 'rotation', 'for', 'the', 'binary', 'pg', '0101039', 'a', 'subdwarf', 'b', 'star', 'white', 'dwarf', 'binary', 'from', 'its', 'tiny', '0025', 'light', 'variations', 'measured', 'with', 'the', 'most', 'satellite', 'randall', 'et', 'al', '2005', 'binary', 'parameters', 'were', 'derived', 'from', 'the', 'mass', 'function', 'apparent', 'rotation', 'and', 'surface', 'gravity', 'of', 'pg', '0101039', 'assuming', 'a', 'canonical', 'mass', 'of', '047', 'mo', 'and', 'tidally', 'locked', 'rotation', 'the', 'light', 'curve', 'was', 'then', 'synthesised', 'and', 'was', 'found', 'to', 'match', 'the', 'observed', 'amplitude', 'well', 'we', 'verified', 'that', 'the', 'light', 'variations', 'are', 'due', 'to', 'ellipsoidal', 'deformation', 'and', 'that', 'tidal', 'synchronization', 'is', 'established', 'for', 'pg', '0101039', 'we', 'conclude', 'that', 'this', 'assumption', 'should', 'hold', 'for', 'all', 'sdb', 'binaries', 'with', 'orbital', 'periods', 'of', 'less', 'than', 'half', 'a', 'day', 'hence', 'the', 'masses', 'can', 'be', 'derived', 'from', 'systems', 'too', 'faint', 'to', 'measure', 'tiny', 'light', 'variations']] | [-0.11466818998112928, 0.19485070765949786, -0.0776051795895233, 0.12567194631704953, -0.13203226188793346, -0.11017562231038112, 0.08149683285439603, 0.3717413187503468, -0.17405015891918718, -0.35949818424198254, 0.08103513284071977, -0.2663029637737646, -0.0835664278968389, 0.22778508338270448, -0.1407787233406981, 0.024650461149745794, 0.10586790292426337, -0.03642772166850316, -0.0911168792382489, -0.2581038262321462, 0.2770491564202361, 0.02451917077522985, 0.11103238625523666, -0.0790662951266588, 0.04377487591511115, -0.04984818390424385, -0.027577260419791347, -0.03496028442303975, -0.15179436512072814, 0.012621205300092697, 0.17651852450149438, 0.09403134634999862, 0.14308121580857958, -0.3309615251748974, -0.21167875965871052, 0.09060771438986236, 0.1314069845599967, 0.07691798188052205, -0.07635209847479886, -0.2682992311317723, 0.1191614122862818, -0.18525014371410836, -0.17391104960196846, 0.006687084499876513, 0.1225202584471337, 0.022862291936816777, -0.2460732598258399, 0.1029568608792033, 0.05634374584702147, 0.05591031638352941, -0.12539432340147255, -0.11272921702749404, -0.12299666140878016, 0.04546541885776056, 0.07236541812389352, 0.07880332048976967, 0.1398784182667949, -0.019815271670204523, -0.001241449455170199, 0.4367198288406186, -0.10583725394479739, -0.05606705670280187, 0.19459282317053972, -0.19353542210220165, -0.13818104543755655, 0.14446112542781372, 0.15389629769095675, 0.12708487993730286, -0.16480555378760517, -0.010020065830441275, 0.013781571138087053, 0.2428341549983638, 0.10412601161704854, 0.03202146235961727, 0.369632663335218, 0.11641958122937615, -0.023283855821720736, 0.03921237616761869, -0.19050645690849918, -0.05011283186214251, -0.17298459628228705, -0.06370148317330669, -0.1382815931584594, 0.0532362915272283, -0.07277382825410568, -0.0905108668511127, 0.31155482674190815, 0.08188528791719744, 0.2023410571814883, 0.03625229933450735, 0.29395445319282454, 0.10051879242230423, 0.08556406031840556, 0.13893548617962487, 0.35872996221621367, 0.22068689445028256, 0.04926673249141205, -0.25556309742048966, 0.0883157740449966, -0.01921842260919728] |
710.5837 | On estimating covariances between many assets with histories of highly
variable length | Quantitative portfolio allocation requires the accurate and tractable
estimation of covariances between a large number of assets, whose histories can
greatly vary in length. Such data are said to follow a monotone missingness
pattern, under which the likelihood has a convenient factorization. Upon
further assuming that asset returns are multivariate normally distributed, with
histories at least as long as the total asset count, maximum likelihood (ML)
estimates are easily obtained by performing repeated ordinary least squares
(OLS) regressions, one for each asset. Things get more interesting when there
are more assets than historical returns. OLS becomes unstable due to
rank--deficient design matrices, which is called a "big p small n" problem. We
explore remedies that involve making a change of basis, as in principal
components or partial least squares regression, or by applying shrinkage
methods like ridge regression or the lasso. This enables the estimation of
covariances between large sets of assets with histories of essentially
arbitrary length, and offers improvements in accuracy and interpretation. We
further extend the method by showing how external factors can be incorporated.
This allows for the adaptive use of factors without the restrictive assumptions
common in factor models. Our methods are demonstrated on randomly generated
data, and then benchmarked by the performance of balanced portfolios using real
historical financial returns. An accompanying R package called monomvn,
containing code implementing the estimators described herein, has been made
freely available on CRAN.
| stat.ME stat.AP stat.CO | quantitative portfolio allocation requires the accurate and tractable estimation of covariances between a large number of assets whose histories can greatly vary in length such data are said to follow a monotone missingness pattern under which the likelihood has a convenient factorization upon further assuming that asset returns are multivariate normally distributed with histories at least as long as the total asset count maximum likelihood ml estimates are easily obtained by performing repeated ordinary least squares ols regressions one for each asset things get more interesting when there are more assets than historical returns ols becomes unstable due to rankdeficient design matrices which is called a big p small n problem we explore remedies that involve making a change of basis as in principal components or partial least squares regression or by applying shrinkage methods like ridge regression or the lasso this enables the estimation of covariances between large sets of assets with histories of essentially arbitrary length and offers improvements in accuracy and interpretation we further extend the method by showing how external factors can be incorporated this allows for the adaptive use of factors without the restrictive assumptions common in factor models our methods are demonstrated on randomly generated data and then benchmarked by the performance of balanced portfolios using real historical financial returns an accompanying r package called monomvn containing code implementing the estimators described herein has been made freely available on cran | [['quantitative', 'portfolio', 'allocation', 'requires', 'the', 'accurate', 'and', 'tractable', 'estimation', 'of', 'covariances', 'between', 'a', 'large', 'number', 'of', 'assets', 'whose', 'histories', 'can', 'greatly', 'vary', 'in', 'length', 'such', 'data', 'are', 'said', 'to', 'follow', 'a', 'monotone', 'missingness', 'pattern', 'under', 'which', 'the', 'likelihood', 'has', 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710.5838 | 2-level fractional factorial designs which are the union of non trivial
regular designs | Every fraction is a union of points, which are trivial regular fractions. To
characterize non trivial decomposition, we derive a condition for the inclusion
of a regular fraction as follows. Let $F = \sum_\alpha b_\alpha X^\alpha$ be
the indicator polynomial of a generic fraction, see Fontana et al, JSPI 2000,
149-172. Regular fractions are characterized by $R = \frac 1l \sum_{\alpha \in
\mathcal L} e_\alpha X^\alpha$, where $\alpha \mapsto e_\alpha$ is an group
homeomorphism from $\mathcal L \subset \mathbb Z_2^d$ into $\{-1,+1\}$. The
regular $R$ is a subset of the fraction $F$ if $FR = R$, which in turn is
equivalent to $\sum_t F(t)R(t) = \sum_t R(t)$. If $\mathcal H = \{\alpha_1 >...
\alpha_k\}$ is a generating set of $\mathcal L$, and $R = \frac1{2^k}(1 +
e_1X^{\alpha_1}) ... (1 + e_kX^{\alpha_k})$, $e_j = \pm 1$, $j=1 ... k$, the
inclusion condition in term of the $b_\alpha$'s is % \begin{equation}b_0 + e_1
b_{\alpha_1} + >... + e_1 ... e_k b_{\alpha_1 + ... + \alpha_k} = 1.
\tag{*}\end{equation} % The last part of the paper will discuss some examples
to investigate the practical applicability of the previous condition (*).
This paper is an offspring of the Alcotra 158 EU research contract on the
planning of sequential designs for sample surveys in tourism statistics.
| stat.ME | every fraction is a union of points which are trivial regular fractions to characterize non trivial decomposition we derive a condition for the inclusion of a regular fraction as follows let f sum_alpha b_alpha xalpha be the indicator polynomial of a generic fraction see fontana et al jspi 2000 149172 regular fractions are characterized by r frac 1l sum_alpha in mathcal l e_alpha xalpha where alpha mapsto e_alpha is an group homeomorphism from mathcal l subset mathbb z_2d into 11 the regular r is a subset of the fraction f if fr r which in turn is equivalent to sum_t ftrt sum_t rt if mathcal h alpha_1 alpha_k is a generating set of mathcal l and r frac12k1 e_1xalpha_1 1 e_kxalpha_k e_j pm 1 j1 k the inclusion condition in term of the b_alphas is beginequationb_0 e_1 b_alpha_1 e_1 e_k b_alpha_1 alpha_k 1 tagendequation the last part of the paper will discuss some examples to investigate the practical applicability of the previous condition this paper is an offspring of the alcotra 158 eu research contract on the planning of sequential designs for sample surveys in tourism statistics | [['every', 'fraction', 'is', 'a', 'union', 'of', 'points', 'which', 'are', 'trivial', 'regular', 'fractions', 'to', 'characterize', 'non', 'trivial', 'decomposition', 'we', 'derive', 'a', 'condition', 'for', 'the', 'inclusion', 'of', 'a', 'regular', 'fraction', 'as', 'follows', 'let', 'f', 'sum_alpha', 'b_alpha', 'xalpha', 'be', 'the', 'indicator', 'polynomial', 'of', 'a', 'generic', 'fraction', 'see', 'fontana', 'et', 'al', 'jspi', '2000', '149172', 'regular', 'fractions', 'are', 'characterized', 'by', 'r', 'frac', '1l', 'sum_alpha', 'in', 'mathcal', 'l', 'e_alpha', 'xalpha', 'where', 'alpha', 'mapsto', 'e_alpha', 'is', 'an', 'group', 'homeomorphism', 'from', 'mathcal', 'l', 'subset', 'mathbb', 'z_2d', 'into', '11', 'the', 'regular', 'r', 'is', 'a', 'subset', 'of', 'the', 'fraction', 'f', 'if', 'fr', 'r', 'which', 'in', 'turn', 'is', 'equivalent', 'to', 'sum_t', 'ftrt', 'sum_t', 'rt', 'if', 'mathcal', 'h', 'alpha_1', 'alpha_k', 'is', 'a', 'generating', 'set', 'of', 'mathcal', 'l', 'and', 'r', 'frac12k1', 'e_1xalpha_1', '1', 'e_kxalpha_k', 'e_j', 'pm', '1', 'j1', 'k', 'the', 'inclusion', 'condition', 'in', 'term', 'of', 'the', 'b_alphas', 'is', 'beginequationb_0', 'e_1', 'b_alpha_1', 'e_1', 'e_k', 'b_alpha_1', 'alpha_k', '1', 'tagendequation', 'the', 'last', 'part', 'of', 'the', 'paper', 'will', 'discuss', 'some', 'examples', 'to', 'investigate', 'the', 'practical', 'applicability', 'of', 'the', 'previous', 'condition', 'this', 'paper', 'is', 'an', 'offspring', 'of', 'the', 'alcotra', '158', 'eu', 'research', 'contract', 'on', 'the', 'planning', 'of', 'sequential', 'designs', 'for', 'sample', 'surveys', 'in', 'tourism', 'statistics']] | [-0.20098093247809315, 0.11327688716168484, -0.005057312563945681, -0.0023438834485276943, -0.051390317087140626, -0.15648517150189833, 0.019463685017584238, 0.32177892470953323, -0.2903293502572292, -0.1936168708012434, 0.06768299135942496, -0.3406018778052981, -0.0528711854969546, 0.15346467922873122, -0.07903071251924092, -0.047298564943932205, 0.0035796034923296863, 0.06493433803914504, -0.05087161411683859, -0.25658476766788185, 0.25900470402462034, -0.02215439214938094, 0.16985523300561106, 0.005089393591950253, 0.03984991511452343, -0.035003862344715114, 0.007397968779807374, -0.012031104320286652, -0.2502542802548341, 0.027429153011469854, 0.24500811001085965, 0.1329870860705331, 0.30892892590181975, -0.2847115416253643, -0.07602579823674076, 0.2118869877215159, 0.1515115674566688, -0.09664084993915811, 0.04683792511051216, -0.2212852939074112, 0.14123122356924106, -0.17308763922376316, -0.1271425114660445, -0.015742829623125693, 0.1795963306995477, 0.024952335170033455, -0.3645825365316228, 0.044697562652234894, 0.1101028921114186, 0.051491663333470536, -0.0029141372464344664, -0.1903006840065795, -0.09269306934004555, 0.03268754062647958, -0.024868053038167835, 0.13371838320120327, 0.07786133273940081, -0.04755094220419809, -0.024051905431426893, 0.3758484587852059, -0.05591735078579625, -0.17377436162356688, 0.07770985844518757, -0.19229491929244777, -0.16836385529667222, 0.13562333379940544, 0.08165139553882313, 0.15954948674445435, -0.07657771981465972, 0.24796135448633647, -0.0933146763456154, 0.14549080282975893, 0.08229968878361633, -0.006397041213293534, 0.126917957553198, 0.07049791742771296, 0.0789960172832391, 0.11213385655957743, -0.04269298018445655, 0.024686865414832167, -0.37016727462132054, -0.14993910800328866, -0.16599413304521288, 0.17581477972789336, -0.0912245040269283, -0.1475709460302135, 0.32779528055140106, 0.044082984793931246, 0.22344909126128434, 0.10419277942313229, 0.18676676405218035, 0.10857312623972118, -0.009470373955108014, 0.09600705022023896, 0.10788252443357339, 0.1283270498845558, 0.021155458625069276, -0.15817627448215027, 0.017177374997816842, 0.1481071274469759] |
710.5839 | Algebras of unbounded operators over the ring of measurable functions
and their derivations and automorphisms | In the present paper derivations and *-automorphisms of algebras of unbounded
operators over the ring of measurable functions are investigated and it is
shown that all L^0-linear derivations and L^{0}-linear *-automorphisms are
inner. Moreover, it is proved that each L^0-linear automorphism of the algebra
of all linear operators on a bo-dense submodule of a Kaplansky-Hilbert module
over the ring of measurable functions is spatial.
| math.FA math.OA | in the present paper derivations and automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all l0linear derivations and l0linear automorphisms are inner moreover it is proved that each l0linear automorphism of the algebra of all linear operators on a bodense submodule of a kaplanskyhilbert module over the ring of measurable functions is spatial | [['in', 'the', 'present', 'paper', 'derivations', 'and', 'automorphisms', 'of', 'algebras', 'of', 'unbounded', 'operators', 'over', 'the', 'ring', 'of', 'measurable', 'functions', 'are', 'investigated', 'and', 'it', 'is', 'shown', 'that', 'all', 'l0linear', 'derivations', 'and', 'l0linear', 'automorphisms', 'are', 'inner', 'moreover', 'it', 'is', 'proved', 'that', 'each', 'l0linear', 'automorphism', 'of', 'the', 'algebra', 'of', 'all', 'linear', 'operators', 'on', 'a', 'bodense', 'submodule', 'of', 'a', 'kaplanskyhilbert', 'module', 'over', 'the', 'ring', 'of', 'measurable', 'functions', 'is', 'spatial']] | [-0.20608462693522714, 0.06469421011335667, -0.0760612154018975, 0.013828064763783328, -0.06706079269098418, -0.09438925475302723, -0.10405510725010367, 0.3878118983439861, -0.3529636236208101, -0.12776542328778775, 0.15789625179886277, -0.2827486275665222, -0.15611922583587828, 0.2265011554493779, -0.09790562102270703, -0.0027613226998402106, 0.049776597309016415, 0.13734015200527444, -0.10722062891469367, -0.2727695615481465, 0.43683484424987146, 0.021468238210335614, 0.14207683799548015, 0.0663869982067075, 0.1619008619248146, -0.0018357021824246453, -0.07367001533988983, -0.005970488662921613, -0.12629478578873526, 0.0917283714929175, 0.2939441566385569, 0.09872241345827558, 0.21051611502621054, -0.34816547005527443, -0.12245519295515071, 0.16133180232117733, 0.1431364410016085, -0.03708056111129061, -0.009008639606632172, -0.22965635930097872, 0.12853001860240776, -0.24749250685976398, -0.08039334988702208, -0.07583181917547219, 0.10800165711571613, 0.04311284038328355, -0.2844129303289998, -0.012695827476319766, 0.14505707751959562, 0.14179198741311988, -0.11407452746624908, -0.0928328591999748, -0.10774084156559359, 0.07726456433714878, -0.07283373819589015, 0.014295736260171379, 0.12459751733037974, -0.03662831216089187, -0.12462545471686509, 0.326004657083221, -0.012297062113160086, -0.24218137760556513, 0.1341961082071066, -0.2706224068608736, -0.10999736375731206, 0.06676011878035722, 0.07455199368057712, 0.18289490326518013, -0.10144237559589167, 0.22088082566305303, -0.18734484882424435, 0.08879104178519018, 0.08568324220757331, 0.06534704366969245, 0.10404476259023912, 0.07183895007737222, 0.11446018479557918, 0.1258737022477773, 0.10096794080304643, -0.022989676288899877, -0.37622901821328747, -0.17560726455262593, -0.11529734138621867, 0.02882468817575324, -0.07586060843600388, -0.1642496530055782, 0.46080936022823854, 0.11609864498173157, 0.15625557538512494, 0.10508460405793402, 0.218986249085696, 0.09793774646917178, 0.18715391160860176, 0.08134772591743498, 0.12655675928709248, 0.24845127342268825, -0.05721938328802465, -0.1351172425258424, 0.022155230286561193, 0.16533237802345427] |
710.584 | Comment on "Pinched Flow Fractionation: Continuous Size Separation of
Particles Utilizing a Laminar Flow Profile in a Pinched Microchannel" | [First paragraph] In a recent paper Yamada et al. propose the novel concept
of "pinched flow fractionation" (PFF) for the continuous size separation and
analysis of particles in microfabricated lab-on-a-chip devices. In their
description of the basic principle they claim that especially the width of the
pinched and broadened segments will affect theseparation performance. In the
following we comment on the physics behind this statement.
| physics.flu-dyn | first paragraph in a recent paper yamada et al propose the novel concept of pinched flow fractionation pff for the continuous size separation and analysis of particles in microfabricated labonachip devices in their description of the basic principle they claim that especially the width of the pinched and broadened segments will affect theseparation performance in the following we comment on the physics behind this statement | [['first', 'paragraph', 'in', 'a', 'recent', 'paper', 'yamada', 'et', 'al', 'propose', 'the', 'novel', 'concept', 'of', 'pinched', 'flow', 'fractionation', 'pff', 'for', 'the', 'continuous', 'size', 'separation', 'and', 'analysis', 'of', 'particles', 'in', 'microfabricated', 'labonachip', 'devices', 'in', 'their', 'description', 'of', 'the', 'basic', 'principle', 'they', 'claim', 'that', 'especially', 'the', 'width', 'of', 'the', 'pinched', 'and', 'broadened', 'segments', 'will', 'affect', 'theseparation', 'performance', 'in', 'the', 'following', 'we', 'comment', 'on', 'the', 'physics', 'behind', 'this', 'statement']] | [-0.11424360235105269, 0.13437632456771098, -0.06913820649788249, 0.00031403002321894746, -0.07061507217076723, -0.09685157809144584, 0.042869764891293016, 0.3645943963783793, -0.24651883923070272, -0.29324427054962143, 0.030509538570186123, -0.25369782972848043, -0.16414052643813193, 0.1823688718577614, -0.15524335707596038, 0.03720827179495245, 0.05296623763570096, -0.037763988664664794, -0.04840612672524003, -0.2190913939193706, 0.30377266763025546, 0.07882888391031884, 0.3088532597612357, 0.1377112968621077, 0.03963674271653872, 0.02076593373931246, -0.06460534135840135, 0.03766602810355835, -0.1704276368587898, 0.15920804324559867, 0.20786613219388528, 0.12759164736053208, 0.2632616272967425, -0.4199517579982057, -0.18949162846547551, 0.050223682992509566, 0.14149756313418038, 0.09334253923725555, -0.0686095779592506, -0.2733009949915868, 0.0608248515491141, -0.12729049471818144, -0.1432891031656709, -0.013511058927178965, 0.07283284396544332, 0.02329789301074925, -0.1659373776128632, 0.05304246967716608, 0.17090023680066224, 0.0374737327801995, -0.03567764046169941, -0.09675144249195, 0.04079029068816453, 0.06982835796225118, -0.01672190905082971, -0.019791479156992864, 0.16311330482858466, -0.09561739206765196, -0.143068777048029, 0.34092050459003076, -0.04275612270794227, -0.14938323947717436, 0.1701224625685427, -0.13571061255788663, -0.18378561110876035, 0.09241562738316134, 0.21771634068500134, 0.12761025787040126, -0.10396522650989937, 0.05457010278587404, -0.05834913243597839, 0.139326237316709, 0.11195592666626908, 0.01755961123853922, 0.20674795242302935, 0.19438774843001738, -0.025225626275641844, 0.10650782944867387, -0.07448320390903973, -0.07835499138036539, -0.31510091201926116, -0.2257218997401651, -0.1455996973090805, 0.0370544833731401, -0.02512246514288563, -0.16096403080155142, 0.38630373442720156, 0.19610118580749258, 0.21917379907972645, 0.025511236857710173, 0.2971926270984113, 0.043593941285507753, 0.026468596854101634, 0.06974134140182287, 0.2654756582342088, 0.13752723278594203, 0.18609371978527633, -0.209230980835855, 0.06798000433082052, 0.0887776758900145] |
710.5841 | Nuclear and particle physics aspects of the 2nbb-decay of 150Nd | A discussion is given on possible realization of the Single State Dominance
(SSD) hypothesis in the case of the two-neutrino double beta decay(2nbb-decay)
of 150Nd with 1^- ground state of the intermediate nucleus. We conclude that
the SSD hypothesis is expected to be ruled out by precision measurement of
differential characteristics of this process in running NEMO 3 or planed
SuperNEMO experiments unlike some unknown low-lying 1^+ state of 150Pm does
exist. This problem can be solved via (d,2He) charge-exchange experiment on
150Sm. Further, we address the question about possible violation of the Pauli
exclusion principle for neutrinos and its consequences for the energy
distributions of the 2nbb-decay of 150Nd. This phenomenon might be a subject of
interest of NEMO 3 and SuperNEMO experiments as well.
| hep-ph | a discussion is given on possible realization of the single state dominance ssd hypothesis in the case of the twoneutrino double beta decay2nbbdecay of 150nd with 1 ground state of the intermediate nucleus we conclude that the ssd hypothesis is expected to be ruled out by precision measurement of differential characteristics of this process in running nemo 3 or planed supernemo experiments unlike some unknown lowlying 1 state of 150pm does exist this problem can be solved via d2he chargeexchange experiment on 150sm further we address the question about possible violation of the pauli exclusion principle for neutrinos and its consequences for the energy distributions of the 2nbbdecay of 150nd this phenomenon might be a subject of interest of nemo 3 and supernemo experiments as well | [['a', 'discussion', 'is', 'given', 'on', 'possible', 'realization', 'of', 'the', 'single', 'state', 'dominance', 'ssd', 'hypothesis', 'in', 'the', 'case', 'of', 'the', 'twoneutrino', 'double', 'beta', 'decay2nbbdecay', 'of', '150nd', 'with', '1', 'ground', 'state', 'of', 'the', 'intermediate', 'nucleus', 'we', 'conclude', 'that', 'the', 'ssd', 'hypothesis', 'is', 'expected', 'to', 'be', 'ruled', 'out', 'by', 'precision', 'measurement', 'of', 'differential', 'characteristics', 'of', 'this', 'process', 'in', 'running', 'nemo', '3', 'or', 'planed', 'supernemo', 'experiments', 'unlike', 'some', 'unknown', 'lowlying', '1', 'state', 'of', '150pm', 'does', 'exist', 'this', 'problem', 'can', 'be', 'solved', 'via', 'd2he', 'chargeexchange', 'experiment', 'on', '150sm', 'further', 'we', 'address', 'the', 'question', 'about', 'possible', 'violation', 'of', 'the', 'pauli', 'exclusion', 'principle', 'for', 'neutrinos', 'and', 'its', 'consequences', 'for', 'the', 'energy', 'distributions', 'of', 'the', '2nbbdecay', 'of', '150nd', 'this', 'phenomenon', 'might', 'be', 'a', 'subject', 'of', 'interest', 'of', 'nemo', '3', 'and', 'supernemo', 'experiments', 'as', 'well']] | [-0.08835385685286871, 0.1762813864866408, -0.03520651246095455, 0.10935980553047675, -0.00905720180097392, -0.14261433244796423, 0.1092749232865446, 0.30922370118550896, -0.21714261469499366, -0.29813641108330186, 0.10533416660964429, -0.27265844841646714, -0.0711158462175418, 0.19836865802961817, 0.00361227990711123, 0.07154429379076417, 0.10259779520631897, 0.06825265707069539, -0.05934879508123135, -0.2298029713499231, 0.3015722568881342, 0.1225278218330274, 0.22489674643961696, 0.08189811795384186, 0.06725603130047883, -0.011765784631309107, 0.002155197731302521, -0.06566971869821228, -0.10679247103115909, 0.05666498308603811, 0.2324743663912972, 0.16642183355411622, 0.2054029205867006, -0.39348129495009176, -0.16504427921254097, 0.14070910228249744, 0.1514065392254814, 0.07629090815600825, -0.03693324005102542, -0.3390884122724183, 0.07532543672165432, -0.21389618399363708, -0.16065400949588454, -0.033746503422233634, -0.015172462639724457, -0.019842259828152697, -0.2710221210509781, 0.06354453656973878, 0.06536418061260497, 0.022195142296301883, -0.061610148366866256, -0.1908136471742537, 0.05622369045868698, 0.0814657168088072, 0.08316907751903022, 0.0008618269244405796, 0.11745901662492897, -0.13270310804009347, -0.1488631529529102, 0.37254413267279546, -0.026569243611359015, -0.17544220437187363, 0.11223313006254412, -0.16438248101432573, -0.1595518429180592, 0.12612942086032977, 0.13139895479596123, 0.09758040785971211, -0.12524691128505136, 0.09183560871250351, -0.06613453873433173, 0.17398219504128626, 0.05435137355291262, 0.0006507469182152574, 0.1965365734678216, 0.2332125062319806, 0.0414167593187857, 0.07191025837214769, -0.13418191415257752, -0.07010963211703015, -0.34736540441106006, -0.17529004124538383, -0.1513486883141161, 0.09605355529924779, 0.011963551864264593, -0.08283244631427332, 0.38551236390007465, 0.09375892993539753, 0.1682050736181862, -0.03326809851498139, 0.23696177118889442, 0.08138407223831438, 0.02550141400528875, -0.022342350202370284, 0.29616783724125756, 0.1367505181077262, 0.0633078197744198, -0.24764395445704507, 0.09007681573729781, 0.00048019750634344615] |
710.5842 | Fermionic systems with charge correlations on the Bethe lattice | A fermionic model, built up of q species of localized Fermi particles,
interacting by charge correlations, is isomorphic to a spin-q/2 Ising model.
However, the equivalence is only formal and the two systems exhibit a different
physical behavior. By considering a Bethe lattice with q=1, we have exactly
solved the models. There exists a critical temperature below which there is a
spontaneous breakdown of the particle-hole symmetry for the first model, and of
the spin symmetry for the second. While the spin system is always stable and
exhibits a homogeneous ferromagnetic phase below T_{c}, the fermionic system
for T<T_{c} is unstable against the formation of inhomogeneous phases with
charge separation.
| cond-mat.str-el cond-mat.stat-mech | a fermionic model built up of q species of localized fermi particles interacting by charge correlations is isomorphic to a spinq2 ising model however the equivalence is only formal and the two systems exhibit a different physical behavior by considering a bethe lattice with q1 we have exactly solved the models there exists a critical temperature below which there is a spontaneous breakdown of the particlehole symmetry for the first model and of the spin symmetry for the second while the spin system is always stable and exhibits a homogeneous ferromagnetic phase below t_c the fermionic system for tt_c is unstable against the formation of inhomogeneous phases with charge separation | [['a', 'fermionic', 'model', 'built', 'up', 'of', 'q', 'species', 'of', 'localized', 'fermi', 'particles', 'interacting', 'by', 'charge', 'correlations', 'is', 'isomorphic', 'to', 'a', 'spinq2', 'ising', 'model', 'however', 'the', 'equivalence', 'is', 'only', 'formal', 'and', 'the', 'two', 'systems', 'exhibit', 'a', 'different', 'physical', 'behavior', 'by', 'considering', 'a', 'bethe', 'lattice', 'with', 'q1', 'we', 'have', 'exactly', 'solved', 'the', 'models', 'there', 'exists', 'a', 'critical', 'temperature', 'below', 'which', 'there', 'is', 'a', 'spontaneous', 'breakdown', 'of', 'the', 'particlehole', 'symmetry', 'for', 'the', 'first', 'model', 'and', 'of', 'the', 'spin', 'symmetry', 'for', 'the', 'second', 'while', 'the', 'spin', 'system', 'is', 'always', 'stable', 'and', 'exhibits', 'a', 'homogeneous', 'ferromagnetic', 'phase', 'below', 't_c', 'the', 'fermionic', 'system', 'for', 'tt_c', 'is', 'unstable', 'against', 'the', 'formation', 'of', 'inhomogeneous', 'phases', 'with', 'charge', 'separation']] | [-0.20524478622566944, 0.25270417084011737, -0.06798800715851948, 0.04424816828782867, 0.014634779210142586, -0.2163744046472423, 0.05102856799857605, 0.3306934385381024, -0.22871381733908291, -0.24361506928134402, 0.05754541910740487, -0.3142175323953596, -0.07832735800397915, 0.1167380260495862, 0.08706001093218085, 0.017811410902324347, -0.043126135919277275, 0.05924571890794082, -0.13875290466933896, -0.19960768373016644, 0.3361492951468932, -0.02621516011604065, 0.29407082897944187, 0.05615486160194108, 0.11056337135186026, -0.027226092627084038, 0.12832650543968066, 0.00930502601907751, -0.11543316139472187, 0.022744996345029512, 0.21160525234925176, -0.017330158373699823, 0.18475017849240588, -0.36690581686487167, -0.21695592133926417, 0.11751220241582039, 0.1437903920427785, 0.1477493068487426, -0.038996561007721586, -0.2679657326806166, 0.057188732767426365, -0.18354871105231824, -0.1831377844215123, -0.07915902327865772, 0.031074694114301457, -0.02357038647446935, -0.26135820957806405, 0.14630583932606178, 0.13135280002147778, 0.09745018793603218, -0.07538159320519708, -0.06853961684621461, -0.10343520524548452, 0.07260900295826547, 0.051888958853242254, 0.04284214158328848, 0.11069770149006551, -0.1509560129237831, -0.11533568757628902, 0.4028277660147586, -0.030150850470083843, -0.16015864961669532, 0.1972146486487547, -0.1274316038984705, -0.10278454784372258, 0.18656989457427497, 0.07479072417722109, 0.07726647323766432, -0.118466948088015, 0.12237538996530663, -0.048842730803774034, 0.1916334849500328, 0.02147182094471512, -0.0016761714883080316, 0.2823048659275636, 0.20102693344820974, 0.06006028535006858, 0.16088405548842674, -0.03768136637464781, -0.16083808360330829, -0.2878737727163035, -0.11860087248197662, -0.2171438781399314, 0.04973075073212385, -0.07414094079245809, -0.1715550499908421, 0.4024830013257238, 0.13923465830237614, 0.19046781068120938, 0.012252420918597335, 0.23647624106731677, 0.13987389101578487, 0.07078047242408636, 0.05902980642239435, 0.22825092550179144, 0.14222146499872104, 0.07250484226297142, -0.25534420134312763, 0.02287887080376028, 0.07141238550117257] |
710.5843 | Renormalization of concurrence: the application of quantum
renormalization group to the quantum information systems | We have combined the idea of renormalization group and quantum information
theory. We have shown how the entanglement or concurrence evolve as the size of
the system being large, i.e. the finite size scaling is obtained. Moreover, It
introduces how the renormalization group approach can be implemented to obtain
the quantum information properties of a many body system. We have obtained the
concurrence as a measure of entanglement, its derivatives and their scaling
behavior versus the size of system for the one dimensional Ising model in
transverse field. We have found that the derivative of concurrence between two
blocks each containing half of the system size diverges at the critical point
with the exponent which is directly associated with the divergence of the
correlation length.
| quant-ph cond-mat.str-el | we have combined the idea of renormalization group and quantum information theory we have shown how the entanglement or concurrence evolve as the size of the system being large ie the finite size scaling is obtained moreover it introduces how the renormalization group approach can be implemented to obtain the quantum information properties of a many body system we have obtained the concurrence as a measure of entanglement its derivatives and their scaling behavior versus the size of system for the one dimensional ising model in transverse field we have found that the derivative of concurrence between two blocks each containing half of the system size diverges at the critical point with the exponent which is directly associated with the divergence of the correlation length | [['we', 'have', 'combined', 'the', 'idea', 'of', 'renormalization', 'group', 'and', 'quantum', 'information', 'theory', 'we', 'have', 'shown', 'how', 'the', 'entanglement', 'or', 'concurrence', 'evolve', 'as', 'the', 'size', 'of', 'the', 'system', 'being', 'large', 'ie', 'the', 'finite', 'size', 'scaling', 'is', 'obtained', 'moreover', 'it', 'introduces', 'how', 'the', 'renormalization', 'group', 'approach', 'can', 'be', 'implemented', 'to', 'obtain', 'the', 'quantum', 'information', 'properties', 'of', 'a', 'many', 'body', 'system', 'we', 'have', 'obtained', 'the', 'concurrence', 'as', 'a', 'measure', 'of', 'entanglement', 'its', 'derivatives', 'and', 'their', 'scaling', 'behavior', 'versus', 'the', 'size', 'of', 'system', 'for', 'the', 'one', 'dimensional', 'ising', 'model', 'in', 'transverse', 'field', 'we', 'have', 'found', 'that', 'the', 'derivative', 'of', 'concurrence', 'between', 'two', 'blocks', 'each', 'containing', 'half', 'of', 'the', 'system', 'size', 'diverges', 'at', 'the', 'critical', 'point', 'with', 'the', 'exponent', 'which', 'is', 'directly', 'associated', 'with', 'the', 'divergence', 'of', 'the', 'correlation', 'length']] | [-0.15035597849171609, 0.15402812664210797, -0.1330879326974973, 0.03615870621614158, 0.004888597826939076, -0.1465552554912865, 0.005878952129743993, 0.33936608754098413, -0.27481785001978276, -0.2763557666018605, 0.10968108703475446, -0.32020364892482756, -0.12312987882830202, 0.18026401257142424, 0.021767004608176647, 0.08117662916658447, -0.00993784872815013, 0.12718091285973787, -0.09289790601027198, -0.25258533395826815, 0.3442467311508954, 0.015780064595863223, 0.28402070588059725, 0.05459604023210704, 0.10025487475842237, -0.0033577601574361323, 0.02515125648258254, 0.07506724207475782, -0.12780130785732763, 0.09350404585152865, 0.1862085086517036, 0.09985752537101507, 0.25960443057864907, -0.3617155607938766, -0.204975676253438, 0.08814911127090454, 0.13800446740724145, 0.1185341278789565, -0.0026670187003910543, -0.2658839995265007, 0.05976818633079529, -0.1922859847806394, -0.15864878413826228, -0.06151376262679696, 0.01584431737381965, 0.00027554153744131327, -0.21806153152883054, 0.09053107726201415, 0.03093082617223263, 0.07200425147637725, -0.012575108439661562, -0.07062635355070233, -0.036413898151367904, 0.19749991543777287, 0.05028669168706983, 0.028798629024997354, 0.1396571341464296, -0.11564673138112994, -0.10220284232264384, 0.3428454207479954, -0.04501934395357966, -0.21210501367971302, 0.17957951021194457, -0.17289132350683212, -0.09613050388544798, 0.0730403829447896, 0.1521996767707169, 0.08594123357720673, -0.1178403390161693, 0.09072297805454582, -0.03395703457295895, 0.19071092746243812, 0.016753155305981635, 0.09957510812953115, 0.17108933912217617, 0.1289493936151266, 0.05582666505826637, 0.19384199222084134, -0.0848849380207248, -0.13314896815270186, -0.2873131545558572, -0.20164279869943857, -0.23001425725966693, 0.060008534776046875, -0.14110476084402762, -0.16797489455598408, 0.40538110411912204, 0.1602095679952763, 0.20950889453850688, 0.07902863237727434, 0.2344971855431795, 0.17952942496351898, 0.13514599927794188, 0.07858455545827746, 0.21837837556377054, 0.12194767342228442, 0.06907981849089265, -0.2878942808136344, 0.056340138863772156, 0.09329180928319693] |
710.5844 | Lessons from (2+1)-dimensional quantum gravity | Proposals that quantum gravity gives rise to non-commutative spacetime
geometry and deformations of Poincare symmetry are examined in the context of
(2+1)-dimensional quantum gravity. The results are expressed in five lessons,
which summarise how the gravitational constant, Planck's constant and the
cosmological constant enter the non-commutative and non-cocommutative
structures arising in (2+1)-dimensional quantum gravity. It is emphasised that
the much studied bicrossproduct kappa-Poincare algebra does not arise directly
in (2+1)-dimensional quantum gravity.
| gr-qc hep-th math-ph math.MP | proposals that quantum gravity gives rise to noncommutative spacetime geometry and deformations of poincare symmetry are examined in the context of 21dimensional quantum gravity the results are expressed in five lessons which summarise how the gravitational constant plancks constant and the cosmological constant enter the noncommutative and noncocommutative structures arising in 21dimensional quantum gravity it is emphasised that the much studied bicrossproduct kappapoincare algebra does not arise directly in 21dimensional quantum gravity | [['proposals', 'that', 'quantum', 'gravity', 'gives', 'rise', 'to', 'noncommutative', 'spacetime', 'geometry', 'and', 'deformations', 'of', 'poincare', 'symmetry', 'are', 'examined', 'in', 'the', 'context', 'of', '21dimensional', 'quantum', 'gravity', 'the', 'results', 'are', 'expressed', 'in', 'five', 'lessons', 'which', 'summarise', 'how', 'the', 'gravitational', 'constant', 'plancks', 'constant', 'and', 'the', 'cosmological', 'constant', 'enter', 'the', 'noncommutative', 'and', 'noncocommutative', 'structures', 'arising', 'in', '21dimensional', 'quantum', 'gravity', 'it', 'is', 'emphasised', 'that', 'the', 'much', 'studied', 'bicrossproduct', 'kappapoincare', 'algebra', 'does', 'not', 'arise', 'directly', 'in', '21dimensional', 'quantum', 'gravity']] | [-0.1781902926353117, 0.19169333441984943, -0.08734570989488727, 0.11689833989657927, -0.14604545713195372, -0.20649883577910563, -0.15168925888267243, 0.25657469217872453, -0.2557251272309158, -0.2297028521231065, 0.07510869867271847, -0.23075586734598297, -0.19802327867687886, 0.1750267874578842, -0.10608712695021597, 0.006997254289065798, -0.042744888432530895, 0.06693497111296488, -0.1396577113838349, -0.2915627575065527, 0.35682555510559016, 0.09219328297897139, 0.2603227276510249, 0.010669389256994085, 0.1017722058782561, -0.04000919849689429, -0.04585819903554188, 0.06140004555668889, -0.22976708503463467, 0.05122595561099135, 0.25728622978527305, 0.08820199283460776, 0.13768889273554427, -0.4456049773272955, -0.24890382344731027, 0.026034320135497384, 0.1066590128466487, 0.19558629368192568, -0.05110103247635481, -0.33745877713792855, -0.036223272786527455, -0.19915494836944467, -0.12978029297664762, -0.05887214149697684, 0.017979996738075796, -0.15061400465492625, -0.12204539732516019, 0.08419700580028196, 0.05349224711406148, -0.00814815115235332, -0.05214454832538548, -0.02713311466019756, -0.048513349533701934, 0.0707608406794154, 0.059217617598025955, 0.05831919909299662, 0.1730217693143964, -0.12934817402209672, -0.17853809752139366, 0.46104681238325107, -0.07756764937140462, -0.2625597411663168, 0.11290361664982305, -0.22961814586435342, -0.18987900816783723, 0.0345199408992711, 0.08869670467295994, 0.10835397754716622, -0.07584527601850116, 0.2708286155353158, -0.024072433944739815, 0.08834298094896237, 0.12015028635505587, 0.10602099067343967, 0.3007738815827502, -0.00939032500092354, -0.031283912921531334, 0.11147879361265546, 0.03323421963594026, -0.2406959059751696, -0.42580163375371033, -0.15796660609905505, -0.12628167075389582, 0.14718385500297396, -0.14779709104206834, -0.18867164895830987, 0.30765442094869083, 0.1343650570941261, 0.0909220794823745, 0.005090781676699407, 0.16108814623698386, 0.09544841828917722, 0.10461395781668317, 0.041120811669518136, 0.31248702493677327, 0.22381873219273984, 0.13169544559463653, -0.23455723735322762, -0.10756588310727642, 0.13161804309735695] |
710.5845 | Sturm numbers and substitution invariance of 3iet words | In this paper, we give a necessary condition for an infinite word defined by
a non-degenerate interval exchange on three intervals (3iet word) to be
invariant by a substitution: a natural parameter associated to this word must
be a Sturm number. We deduce some algebraic consequences from this condition
concerning the incidence matrix of the associated substitution. As a by-product
of our proof, we give a combinatorial characterization of 3iet words.
| math.CO math.DS | in this paper we give a necessary condition for an infinite word defined by a nondegenerate interval exchange on three intervals 3iet word to be invariant by a substitution a natural parameter associated to this word must be a sturm number we deduce some algebraic consequences from this condition concerning the incidence matrix of the associated substitution as a byproduct of our proof we give a combinatorial characterization of 3iet words | [['in', 'this', 'paper', 'we', 'give', 'a', 'necessary', 'condition', 'for', 'an', 'infinite', 'word', 'defined', 'by', 'a', 'nondegenerate', 'interval', 'exchange', 'on', 'three', 'intervals', '3iet', 'word', 'to', 'be', 'invariant', 'by', 'a', 'substitution', 'a', 'natural', 'parameter', 'associated', 'to', 'this', 'word', 'must', 'be', 'a', 'sturm', 'number', 'we', 'deduce', 'some', 'algebraic', 'consequences', 'from', 'this', 'condition', 'concerning', 'the', 'incidence', 'matrix', 'of', 'the', 'associated', 'substitution', 'as', 'a', 'byproduct', 'of', 'our', 'proof', 'we', 'give', 'a', 'combinatorial', 'characterization', 'of', '3iet', 'words']] | [-0.1625801071944371, 0.1309110342910674, -0.09212773392947626, 0.12046403596735179, -0.14246299655609568, -0.10305396818332899, 0.13026635454882357, 0.3325572940980045, -0.3429820126735828, -0.23560506154612545, 0.12796477168555778, -0.23882553390633893, -0.15586136992443617, 0.20656471051567588, -0.14264665707998292, 0.0020750966054243103, 0.07665779431101302, 0.12094747570907356, -0.09823846565319708, -0.2533718474524122, 0.3579361657152923, -0.006310199361137101, 0.1690184152881864, 0.060340250225763926, 0.12984060473136708, 0.012833857535004196, -0.02779233289069273, 0.009347142599208253, -0.2036133426189108, 0.13595098848979342, 0.28642163819200556, 0.1358130284598176, 0.26135461216031664, -0.33282146036205157, -0.15171490498149479, 0.14130530164013028, 0.11917298815777184, 0.10619327098026242, -0.07614523711209317, -0.2642636856352779, 0.10771608309374309, -0.19987440778231116, -0.1050852104024568, -0.048210957864771635, 0.028463507569591765, 0.016149574051230724, -0.28385702584555345, 0.011563216204899298, 0.1809956395382088, 0.14327085641225878, -0.044964766870974233, -0.08564811758533068, 0.030926660965787063, 0.07321984850158783, 0.03449176443399678, 0.01889223714267284, 0.013499651115689374, -0.02020339546134879, -0.13477778434753418, 0.35289418849516924, -0.05361204669141854, -0.27031710305788986, 0.13219681666822922, -0.092971151550366, -0.18657489519067844, 0.08904420588375397, 0.11889782101801322, 0.09933766688574368, -0.13795833719868056, 0.10487462884277551, -0.13868820431156897, 0.15625772546504585, 0.1635897294290259, 0.03472790009224079, 0.13369020132321707, 0.11398254231300572, 0.11100570654207972, 0.193233069068503, 0.026545369238461514, 0.00519373224602199, -0.3483947980361925, -0.20171453816566984, -0.16111057099532072, 0.13288184136978654, -0.1257770825111845, -0.23462834088525303, 0.41169399369350623, 0.11622187655917565, 0.2549282815307379, 0.10887673423743584, 0.1791770374533576, 0.13655399417662076, 0.014988194846115271, -0.010327026926794313, 0.07457916466986537, 0.16996035593050257, 0.015476001511839494, -0.14207630861275108, 0.08085494128410035, 0.19206853338163082] |
710.5846 | Relations between GPDs and TMDs: model results and beyond | Comparing the respective structures of the correlators defining generalized
and transverse momentum dependent parton distributions, one finds possible
relations between these two objects. Although it looks like the relations found
do not hold in general, we show that they can be established at least in simple
spectator model calculations. In addition, we discuss these relations in the
context of generalized transverse momentum dependent parton distributions.
| hep-ph | comparing the respective structures of the correlators defining generalized and transverse momentum dependent parton distributions one finds possible relations between these two objects although it looks like the relations found do not hold in general we show that they can be established at least in simple spectator model calculations in addition we discuss these relations in the context of generalized transverse momentum dependent parton distributions | [['comparing', 'the', 'respective', 'structures', 'of', 'the', 'correlators', 'defining', 'generalized', 'and', 'transverse', 'momentum', 'dependent', 'parton', 'distributions', 'one', 'finds', 'possible', 'relations', 'between', 'these', 'two', 'objects', 'although', 'it', 'looks', 'like', 'the', 'relations', 'found', 'do', 'not', 'hold', 'in', 'general', 'we', 'show', 'that', 'they', 'can', 'be', 'established', 'at', 'least', 'in', 'simple', 'spectator', 'model', 'calculations', 'in', 'addition', 'we', 'discuss', 'these', 'relations', 'in', 'the', 'context', 'of', 'generalized', 'transverse', 'momentum', 'dependent', 'parton', 'distributions']] | [-0.10886571798473596, 0.22248345252413015, -0.16562250873360496, 0.2253492546482728, -0.08145331300508518, -0.1012147590983659, -0.039912019186438275, 0.42922178552700924, -0.2408366359770298, -0.2660978769382032, -0.031229580200922032, -0.26975404201791836, -0.10716761774741686, 0.16993103514676197, 0.006070991605520248, 0.04244455519812898, 0.03758417034091858, 0.0021966317811837562, -0.14649329570104153, -0.20974930851505352, 0.3669301558715793, -0.003959303711039515, 0.2917122188095863, 0.07875565124962192, 0.09462457366574269, 0.07498114174231887, -0.10594105455451287, 0.06691226936303653, -0.13250270085107052, 0.07409116051947841, 0.23871022657706187, 0.07877078779901449, 0.13875272093484034, -0.415270872012927, -0.14602982889001187, 0.08778646319674757, 0.1671319589448663, 0.09399957076574747, 0.022723606887918253, -0.17840128311744102, 0.03635779565486771, -0.20704609408544805, -0.16435191344756347, -0.13609368236592181, -0.03373963099975998, 0.0632766918780712, -0.20585213880985975, 0.11055423435396873, 0.06142828524685823, -0.00706984420551005, -0.04668366443365812, -0.17466615260614513, -0.07451564766323338, 0.0827279772161721, 0.06321363595063584, 0.002978478902234481, 0.08712758804456545, -0.14978470117426834, -0.14378717672079802, 0.3794136342377617, 0.0037422566029887932, -0.2638581104728823, 0.16926506771795594, -0.22624227759929805, -0.21000634324378692, 0.021763248956547333, 0.16135636135362663, 0.11834732611090518, -0.17056106267353663, 0.0616184723805278, -0.04284685764175195, 0.11062968712873184, 0.12160133464405169, 0.07632335990828533, 0.21757472362369298, 0.059706515937040634, -0.0342368760253661, 0.09626191549826986, -0.06362571573028197, -0.1518192685648011, -0.35957136006595997, -0.10857278221788315, -0.14073969750450208, 0.01740001416071139, -0.11208136188417064, -0.129015367750365, 0.35010189798015817, 0.14491785379269947, 0.23889413884339425, 0.048299221837749845, 0.23685825243592262, 0.150158767731717, 0.11279480647868835, 0.12440670361885657, 0.25124694032308, 0.14226621548430277, 0.08759567064877886, -0.1689553251919838, 0.07185818984244878, 0.028325240199382488] |
710.5847 | Deformed Reissner--Nordstrom solutions in noncommutative gravity | The leading order corrections to Reissner--Nordstrom solutions of the
Einstein's equations on noncommutative space time have been worked out basing
on a noncommutative gauge theory of gravity. From the corrcted metric the
horizons have been derived and the curvature scalar is also computed. The
introduction of noncommutativity leads to the removal of the coordinate
singularities.
| hep-th | the leading order corrections to reissnernordstrom solutions of the einsteins equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity from the corrcted metric the horizons have been derived and the curvature scalar is also computed the introduction of noncommutativity leads to the removal of the coordinate singularities | [['the', 'leading', 'order', 'corrections', 'to', 'reissnernordstrom', 'solutions', 'of', 'the', 'einsteins', 'equations', 'on', 'noncommutative', 'space', 'time', 'have', 'been', 'worked', 'out', 'basing', 'on', 'a', 'noncommutative', 'gauge', 'theory', 'of', 'gravity', 'from', 'the', 'corrcted', 'metric', 'the', 'horizons', 'have', 'been', 'derived', 'and', 'the', 'curvature', 'scalar', 'is', 'also', 'computed', 'the', 'introduction', 'of', 'noncommutativity', 'leads', 'to', 'the', 'removal', 'of', 'the', 'coordinate', 'singularities']] | [-0.14602963077076883, 0.06451513838557596, -0.17247335140213924, 0.1035088748020051, -0.10750993210132476, -0.11098349673018136, -0.08638888864812476, 0.25621304285057167, -0.17148707477651812, -0.2509925257483566, 0.0986084990479328, -0.3109696528667377, -0.1266387448542648, 0.13473088084935658, -0.07340675628640586, 0.06037858576962241, -0.046180496177705074, 0.10248477654359131, -0.14164208857713406, -0.3145609175165494, 0.4229280966316798, 0.10914251242798788, 0.22462291010069074, 0.05067869496566278, 0.1635683647494901, -0.04813701407638965, -0.07201497139478172, 0.06739769862151998, -0.15029354466349576, 0.06151946113203411, 0.17384474851294524, 0.06845695196857883, 0.2128563512944513, -0.44245362795751403, -0.24681726758609768, 0.07664209486985649, 0.11698659138616037, 0.15506176019725562, -0.021694578890067834, -0.3484761634393147, 0.023070053809701844, -0.17102816711283392, -0.135603233372051, -0.11888850763164184, 0.02113834702996192, -0.06206117345330616, -0.17067087841806589, 0.030058869022199092, 0.02081775434177231, 0.015589133180953839, -0.099466019808595, -0.06862570471302779, -0.039998298735116365, 0.09243058368425679, 0.16649617772997805, 0.044370079775237374, 0.11691928447948562, -0.07349122622636733, -0.12439014982751191, 0.40979477521721963, -0.04895836807554588, -0.27992109343823457, 0.08301584733029206, -0.17405856628384855, -0.09457491504683814, 0.13996372700461912, 0.14354887265815502, 0.20852727653281936, -0.12495890316656894, 0.2509705473623601, 0.02339485832662494, 0.08777604644031574, 0.1641911499340225, 0.042117922377117256, 0.2361856331979787, 0.022409861183000937, 0.035473883557305845, 0.10297153172669588, -0.04484612990550145, -0.20447717644964103, -0.3877951166144124, -0.14778095505769467, -0.11349857715820824, 0.12648584771280488, -0.17278644745211177, -0.18801159332333892, 0.3637076456323956, 0.12063547508377168, 0.1218471781661113, 0.02074647003232881, 0.20672212800666415, 0.16005126435171674, 0.10094803612554204, 0.006029293484364946, 0.3454228185324205, 0.20092216929144882, 0.13112665382127656, -0.22994767085010945, -0.048797663784137475, 0.17277734031624817] |
710.5848 | Ising model fog drip: the first two droplets | We present here a simple model describing coexistence of solid and vapour
phases. The two phases are separated by an interface. We show that when the
concentration of supersaturated vapour reaches the dew-point, the droplet of
solid is created spontaneously on the interface, adding to it a monolayer of a
visible size.
| math-ph math.MP | we present here a simple model describing coexistence of solid and vapour phases the two phases are separated by an interface we show that when the concentration of supersaturated vapour reaches the dewpoint the droplet of solid is created spontaneously on the interface adding to it a monolayer of a visible size | [['we', 'present', 'here', 'a', 'simple', 'model', 'describing', 'coexistence', 'of', 'solid', 'and', 'vapour', 'phases', 'the', 'two', 'phases', 'are', 'separated', 'by', 'an', 'interface', 'we', 'show', 'that', 'when', 'the', 'concentration', 'of', 'supersaturated', 'vapour', 'reaches', 'the', 'dewpoint', 'the', 'droplet', 'of', 'solid', 'is', 'created', 'spontaneously', 'on', 'the', 'interface', 'adding', 'to', 'it', 'a', 'monolayer', 'of', 'a', 'visible', 'size']] | [-0.1270752852125203, 0.25785768400294495, -0.09993991188193653, -0.08037368155897175, 0.04509379243587747, -0.1407745562804242, 0.09343934118948585, 0.3741346615567511, -0.27471475544221263, -0.2590697906253969, 0.10288529490650285, -0.2801339114997901, -0.1346090566458217, 0.11721689835665565, 0.005794313526255828, -0.025515854924771132, -0.03359532170454223, -0.06386070017355915, -0.05838721652296098, -0.18788433659310436, 0.2900976722320432, -0.03385652119622511, 0.28470762414565565, 0.10359979586164449, 0.11252158113262233, -0.06670698306212823, 0.08939782022407242, 0.05399686930810704, -0.1896923526023873, 0.07993668913110799, 0.1734077094131898, 0.02028184452587191, 0.19140843357708232, -0.4890339460370003, -0.2358687418677351, 0.032077382309544905, 0.11146373114566885, 0.1746576804959891, -0.14302823282823915, -0.2695971947829878, 0.04505100166516415, -0.12489424724424002, -0.15012229773599436, -0.017104489107926685, -0.011098855102033007, -0.020767224979970383, -0.2306214631626419, 0.06729787043934944, 0.026503461109492563, 0.059255107860058075, -0.0898612936429095, -0.08440747791353394, -0.13055840974637106, 0.10601850710729338, -0.02015598840308467, -0.007043735338740197, 0.192478015817994, -0.14687996655337365, 0.006445647710386445, 0.41032764257169235, -0.063159932921111, -0.10855488822448488, 0.24269894410070836, -0.1364635396206651, -0.03914868158708308, 0.18890123388857818, 0.140659832139956, 0.1276149456206636, -0.12399020553343956, 0.016774255680787723, -0.06332404606555607, 0.23771629855036736, 0.09950554667625065, -0.04253691481426358, 0.27022245975539966, 0.2720907549784683, 0.04074459484613994, 0.22569303125070006, -0.10973613077265898, -0.10810948031790116, -0.27757196654291716, -0.24149086485233376, -0.22168650832392423, -0.018870414672967267, -0.09252431711116943, -0.2203732457231073, 0.399923639919828, 0.09293970569292558, 0.16694706632737435, -0.031620593449356506, 0.2812662711914848, 0.07382534804991354, 0.0032494933271378862, 0.020768584122004753, 0.26555619134987685, 0.08091856178133656, 0.09666347545662932, -0.20497612659728118, 0.08462492144648351, 0.027893555167989404] |
710.5849 | Status of the EDELWEISS-2 Dark Matter Search | The Edelweiss programme is dedicated to the direct search for Dark Matter as
massive weakly interacting particles (WIMPs) with Germanium cryogenic detectors
operated in the Laboratoire Souterrain de Modane in the French Alps at a depth
of 4800 mwe. After the initial phase Edelweiss I, which involved a total mass
of 1 kg, the second step of the programme, Edelweiss II, currently operates 9
kg of detectors and an active shielding of 100 m^2 muon veto detectors and is
now in its commissioning phase. The current status and performance of the
Edelweiss II set-up in terms of backgrounds will be given, the underground muon
flux measured with the muon veto system will be presented.
| astro-ph | the edelweiss programme is dedicated to the direct search for dark matter as massive weakly interacting particles wimps with germanium cryogenic detectors operated in the laboratoire souterrain de modane in the french alps at a depth of 4800 mwe after the initial phase edelweiss i which involved a total mass of 1 kg the second step of the programme edelweiss ii currently operates 9 kg of detectors and an active shielding of 100 m2 muon veto detectors and is now in its commissioning phase the current status and performance of the edelweiss ii setup in terms of backgrounds will be given the underground muon flux measured with the muon veto system will be presented | [['the', 'edelweiss', 'programme', 'is', 'dedicated', 'to', 'the', 'direct', 'search', 'for', 'dark', 'matter', 'as', 'massive', 'weakly', 'interacting', 'particles', 'wimps', 'with', 'germanium', 'cryogenic', 'detectors', 'operated', 'in', 'the', 'laboratoire', 'souterrain', 'de', 'modane', 'in', 'the', 'french', 'alps', 'at', 'a', 'depth', 'of', '4800', 'mwe', 'after', 'the', 'initial', 'phase', 'edelweiss', 'i', 'which', 'involved', 'a', 'total', 'mass', 'of', '1', 'kg', 'the', 'second', 'step', 'of', 'the', 'programme', 'edelweiss', 'ii', 'currently', 'operates', '9', 'kg', 'of', 'detectors', 'and', 'an', 'active', 'shielding', 'of', '100', 'm2', 'muon', 'veto', 'detectors', 'and', 'is', 'now', 'in', 'its', 'commissioning', 'phase', 'the', 'current', 'status', 'and', 'performance', 'of', 'the', 'edelweiss', 'ii', 'setup', 'in', 'terms', 'of', 'backgrounds', 'will', 'be', 'given', 'the', 'underground', 'muon', 'flux', 'measured', 'with', 'the', 'muon', 'veto', 'system', 'will', 'be', 'presented']] | [-0.0888735668799072, 0.2702406277368713, -0.022833829909040218, 0.022735356951638926, -0.029617914072188892, -0.11043454622114568, -0.03547631655901409, 0.27495794084021136, -0.11344067413327202, -0.4117056259624006, 0.11378953992715922, -0.3460968092345355, 0.05113884660194775, 0.1912367227875317, 0.009603234504251495, 0.0251598599925433, 0.07000780123155237, 0.0490658749119591, -0.04809250847207742, -0.2866087748072715, 0.192827802890781, 0.22577851705289886, 0.26354648436117395, 0.030074261463277366, 0.18366097979116858, -0.029548043519944736, -0.07436130020211924, -0.0683799069905817, -0.08516596199683192, -0.004046398268097587, 0.3248323366911918, 0.15520806001956788, 0.13490464333077207, -0.43376720103582267, -0.07113960507048066, 0.1264424360226513, 0.0634745642105771, -0.02889370308523148, -0.09115603980056844, -0.3694346828933544, 0.06827357164665795, -0.22686521773504323, -0.12406118245582962, 0.0767489280306587, -0.03689947625031907, 0.0015470575247155992, -0.2283649278866314, -0.022731786032141953, -0.021157237259965194, 0.020122900799227256, -0.051653804483194427, -0.17123723484620682, 0.06927773137086708, 0.03671150976840995, 0.002141853722078897, 0.062208320087704216, 0.22586145101874872, -0.17913073672618912, -0.07954754741666348, 0.32243914961030606, -0.10262417746503559, -0.06565204291735172, 0.17998432016751745, -0.18658325556061117, -0.12415367377954617, 0.19795806798267, 0.166463257360942, 0.11524622996435746, -0.20647640989505148, 0.09716512803897147, 0.0396057486803712, 0.20553647565630903, 0.0631506923961927, -0.010948931794254142, 0.27831409888121444, 0.32244738199433576, 0.11117440818710939, 0.06887568104726247, -0.226485159566724, 0.02345279685891511, -0.38662084205108777, -0.225372524654264, -0.08797607573337461, -0.0005543962317077737, 0.026130500496308964, -0.0715285317069573, 0.33505044045057475, 0.058232758324920086, 0.08404009126682292, -0.053315803425982924, 0.31736081670316163, -0.01958993072478558, 0.08203122431440167, -0.014276694806635772, 0.35292934158739325, 0.10511473616248909, 0.18854897609797486, -0.229538531399285, -0.021623975180677678, 0.036754606759355386] |
710.585 | 25-nm diamond crystals hosting single NV color centers sorted by
photon-correlation near-field microscopy | Diamond nanocrystals containing highly photoluminescent color centers are
attractive non-classical and near-field light sources. For near-field
applications the size of the nanocrystal is crucial since it defines the
optical resolution. NV (Nitrogen-Vacancy) color centers are efficiently created
by proton irradiation and annealing of a nanodiamond powder. Using near-field
microscopy and photon statistics measurements, we show that nanodiamond with
size down to 25 nm can hold a single NV color center with bright and stable
photoluminescence.
| cond-mat.mtrl-sci physics.optics | diamond nanocrystals containing highly photoluminescent color centers are attractive nonclassical and nearfield light sources for nearfield applications the size of the nanocrystal is crucial since it defines the optical resolution nv nitrogenvacancy color centers are efficiently created by proton irradiation and annealing of a nanodiamond powder using nearfield microscopy and photon statistics measurements we show that nanodiamond with size down to 25 nm can hold a single nv color center with bright and stable photoluminescence | [['diamond', 'nanocrystals', 'containing', 'highly', 'photoluminescent', 'color', 'centers', 'are', 'attractive', 'nonclassical', 'and', 'nearfield', 'light', 'sources', 'for', 'nearfield', 'applications', 'the', 'size', 'of', 'the', 'nanocrystal', 'is', 'crucial', 'since', 'it', 'defines', 'the', 'optical', 'resolution', 'nv', 'nitrogenvacancy', 'color', 'centers', 'are', 'efficiently', 'created', 'by', 'proton', 'irradiation', 'and', 'annealing', 'of', 'a', 'nanodiamond', 'powder', 'using', 'nearfield', 'microscopy', 'and', 'photon', 'statistics', 'measurements', 'we', 'show', 'that', 'nanodiamond', 'with', 'size', 'down', 'to', '25', 'nm', 'can', 'hold', 'a', 'single', 'nv', 'color', 'center', 'with', 'bright', 'and', 'stable', 'photoluminescence']] | [0.04553479862399399, 0.2112880910312136, -0.03979966511949897, -0.008876694234398503, 0.04954592293438812, -0.20057060385976608, 0.02679168644128367, 0.6153691352407138, -0.2313059625029564, -0.32471597626805304, 0.006311283589651187, -0.39049216588338215, 0.016222217020889124, 0.19771537115176518, -0.055493383531769115, 0.06996858417522162, 0.07094588798781236, -0.06201557255039612, 0.03559426154009998, -0.18529460317765672, 0.21778191139921546, 0.011541310859223207, 0.39802674009154243, 0.11735542928489547, 0.11729336832960446, 0.10991424708316723, 0.07759669687598944, 0.01640579426816354, -0.05613507599773584, 0.1671401803319653, 0.245587976584211, 0.017034665159881116, 0.16602085871001085, -0.419909362445275, -0.21481115410104393, 0.10836880135039488, 0.18666460451980432, 0.19995810473027328, -0.18480649837603172, -0.25181311888620256, 0.1050706977924953, 0.0037998320690045754, -0.13980601203317444, -0.04238475861648718, 0.0003037731225291888, 0.047465247375269734, -0.2208673820962819, 0.05917851272039115, -0.002952584226926168, 0.08660361029362927, -0.03173343533650041, -0.031032883875692883, -0.05280537199229002, 0.03692843892611563, -0.13220583035610617, 0.02805836862884462, 0.3512103571308156, -0.1163855166422824, -0.1263339491933584, 0.36966089221959314, -0.000961320586502552, 0.019188400922964016, 0.14339867201711362, -0.1934882763788725, -0.0003387848287820816, 0.1661924624443054, 0.09210481485972802, 0.21908690705895423, -0.19425863017638526, 0.03408404532509546, -0.0010225656892483433, 0.2712264228115479, 0.16922696754336358, 0.17296814715489744, 0.2762128850320975, 0.21025054385264716, 0.035150343117614585, 0.17983580807844798, -0.22839816132798055, 0.01964539524167776, -0.1722313177213073, -0.16566168364447853, -0.221828305516392, 0.11771318419526021, -0.15224561059769864, -0.13939038906789694, 0.32483171318968135, 0.0872190980737408, 0.13622425425176818, -0.1155528977389137, 0.29328270713488264, 0.03262654919642955, 0.17446852958450715, 0.012856306799997885, 0.2262475908206155, 0.21151177843411764, 0.09880505225310723, -0.3281949027068913, -0.06575960900634527, -0.07588998900415997] |
710.5851 | Realization of efficient electroabsorption using intersubband
transitions in step quantum wells | We have demonstrated efficient intersubband electroabsorption in
InGaAs/InAlGaAs/InAlAs step quantum wells grown by metal-organic vapor phase
epitaxy (MOVPE). An absorption modulation of 6 dB at $\lambda=6.0 \mu$m due to
Stark shift of the IS absorption was achieved at a low voltage swing of $\pm
0.5$ V in a multipass waveguide structure. Based on the experimental results it
is estimated that an electroabsorption modulator with a low peak-to-peak
voltage of $V_{pp}=0.9$ V can yield a modulation speed of $f_{3dB} \approx 120$
GHz with the present material by using a strongly confining surface plasmon
waveguide of 30 $\mu$m length.
| physics.optics | we have demonstrated efficient intersubband electroabsorption in ingaasinalgaasinalas step quantum wells grown by metalorganic vapor phase epitaxy movpe an absorption modulation of 6 db at lambda60 mum due to stark shift of the is absorption was achieved at a low voltage swing of pm 05 v in a multipass waveguide structure based on the experimental results it is estimated that an electroabsorption modulator with a low peaktopeak voltage of v_pp09 v can yield a modulation speed of f_3db approx 120 ghz with the present material by using a strongly confining surface plasmon waveguide of 30 mum length | [['we', 'have', 'demonstrated', 'efficient', 'intersubband', 'electroabsorption', 'in', 'ingaasinalgaasinalas', 'step', 'quantum', 'wells', 'grown', 'by', 'metalorganic', 'vapor', 'phase', 'epitaxy', 'movpe', 'an', 'absorption', 'modulation', 'of', '6', 'db', 'at', 'lambda60', 'mum', 'due', 'to', 'stark', 'shift', 'of', 'the', 'is', 'absorption', 'was', 'achieved', 'at', 'a', 'low', 'voltage', 'swing', 'of', 'pm', '05', 'v', 'in', 'a', 'multipass', 'waveguide', 'structure', 'based', 'on', 'the', 'experimental', 'results', 'it', 'is', 'estimated', 'that', 'an', 'electroabsorption', 'modulator', 'with', 'a', 'low', 'peaktopeak', 'voltage', 'of', 'v_pp09', 'v', 'can', 'yield', 'a', 'modulation', 'speed', 'of', 'f_3db', 'approx', '120', 'ghz', 'with', 'the', 'present', 'material', 'by', 'using', 'a', 'strongly', 'confining', 'surface', 'plasmon', 'waveguide', 'of', '30', 'mum', 'length']] | [-0.1486398455280652, 0.19521462319677627, -0.026690129408652476, -0.10726501635508612, 0.012109802052517361, -0.21150622850264164, 0.09845075299071664, 0.5158195173011181, -0.2149530216457664, -0.32611360366733627, 0.015830882470757562, -0.25931790131243304, -0.09098430140132203, 0.2376473981570056, -0.035764207904960245, 0.05265471803153211, -0.010734159444914536, -0.12490720421254159, -0.04127249194735146, -0.16324724000630939, 0.16558326253707104, 0.077543717807783, 0.3184431689900366, 0.10009292245624547, 0.11705921853191537, -0.05390199840296694, 0.09911826115220468, -0.047976812060446815, -0.15620433595912356, 0.07335325397868106, 0.2264412343080968, -0.07830381817977003, 0.22603144515751603, -0.35798739084102055, -0.2229030350659122, -0.0477211075200838, 0.12775419349286785, 0.10995577669088194, -0.0921858710560705, -0.2612795847606786, 0.10540094312795616, -0.11854878084317959, -0.09993036414318263, 0.04739668004294025, 0.03346623877618224, -0.017128256050513147, -0.23980864684129669, 0.06556085935060649, -0.0029981980556027686, 0.1480054144185294, -0.013690222203335229, -0.1460689522791654, -0.06483368561206822, -0.03398115678251959, -0.12531776870402725, 0.09680719682550494, 0.2095332878116677, -0.05800837941685731, -0.11528233305100312, 0.36866873095030006, -0.15733275682160117, -0.03737674643622434, 0.10214961623584733, -0.17756277785458147, 0.046920712323898967, 0.25926956583428734, 0.14242776576429605, 0.08114981103411063, -0.0942440577689806, 0.033176426892788054, 0.057332674240782616, 0.3135574071251966, 0.19120933372091423, 0.0657161640528431, 0.20397642589709225, 0.23481429178525318, 0.03744116748504816, 0.13730730933999208, -0.20926827281228008, 0.045237879100394375, -0.2022709054983855, -0.1282862006399305, -0.17727835996552033, 0.09194074922607855, -0.11130873051452193, -0.14569479396487486, 0.39791327647547775, 0.09422173738935367, 0.1986903756747934, -0.022193562942854267, 0.3136677570502333, 0.17223763047776958, 0.09370907818145574, 0.022871324485366013, 0.30973531510879065, 0.20152826433099727, 0.13986841343997164, -0.2511842182659088, 0.021907815798879304, -0.050984942582138676] |
710.5852 | Anderson localization in quantum chaos: scaling and universality | The one parameter scaling theory is a powerful tool to investigate Anderson
localization effects in disordered systems. In this paper we show this theory
can be adapted to the context of quantum chaos provided that the classical
phase space is homogeneous, not mixed. The localization problem in this case is
defined in momentum, not in real space. We then employ the one parameter
scaling theory to: a) propose a precise characterization of the type of
classical dynamics related to the Wigner-Dyson and Poisson statistics which
also predicts in what situations Anderson localization corrections invalidate
the relation between classical chaos and random matrix theory encoded in the
Bohigas-Schmit-Giannoni conjecture, b) to identify the universality class
associated with the metal-insulator transition in quantum chaos. In low
dimensions it is characterized by classical superdiffusion, in higher
dimensions it has in general a quantum origin as in the case of disordered
systems. We illustrate these two cases by studying 1$d$ kicked rotors with non
analytical potentials and a 3$d$ kicked rotor with a smooth potential.
| cond-mat.dis-nn cond-mat.mes-hall | the one parameter scaling theory is a powerful tool to investigate anderson localization effects in disordered systems in this paper we show this theory can be adapted to the context of quantum chaos provided that the classical phase space is homogeneous not mixed the localization problem in this case is defined in momentum not in real space we then employ the one parameter scaling theory to a propose a precise characterization of the type of classical dynamics related to the wignerdyson and poisson statistics which also predicts in what situations anderson localization corrections invalidate the relation between classical chaos and random matrix theory encoded in the bohigasschmitgiannoni conjecture b to identify the universality class associated with the metalinsulator transition in quantum chaos in low dimensions it is characterized by classical superdiffusion in higher dimensions it has in general a quantum origin as in the case of disordered systems we illustrate these two cases by studying 1d kicked rotors with non analytical potentials and a 3d kicked rotor with a smooth potential | [['the', 'one', 'parameter', 'scaling', 'theory', 'is', 'a', 'powerful', 'tool', 'to', 'investigate', 'anderson', 'localization', 'effects', 'in', 'disordered', 'systems', 'in', 'this', 'paper', 'we', 'show', 'this', 'theory', 'can', 'be', 'adapted', 'to', 'the', 'context', 'of', 'quantum', 'chaos', 'provided', 'that', 'the', 'classical', 'phase', 'space', 'is', 'homogeneous', 'not', 'mixed', 'the', 'localization', 'problem', 'in', 'this', 'case', 'is', 'defined', 'in', 'momentum', 'not', 'in', 'real', 'space', 'we', 'then', 'employ', 'the', 'one', 'parameter', 'scaling', 'theory', 'to', 'a', 'propose', 'a', 'precise', 'characterization', 'of', 'the', 'type', 'of', 'classical', 'dynamics', 'related', 'to', 'the', 'wignerdyson', 'and', 'poisson', 'statistics', 'which', 'also', 'predicts', 'in', 'what', 'situations', 'anderson', 'localization', 'corrections', 'invalidate', 'the', 'relation', 'between', 'classical', 'chaos', 'and', 'random', 'matrix', 'theory', 'encoded', 'in', 'the', 'bohigasschmitgiannoni', 'conjecture', 'b', 'to', 'identify', 'the', 'universality', 'class', 'associated', 'with', 'the', 'metalinsulator', 'transition', 'in', 'quantum', 'chaos', 'in', 'low', 'dimensions', 'it', 'is', 'characterized', 'by', 'classical', 'superdiffusion', 'in', 'higher', 'dimensions', 'it', 'has', 'in', 'general', 'a', 'quantum', 'origin', 'as', 'in', 'the', 'case', 'of', 'disordered', 'systems', 'we', 'illustrate', 'these', 'two', 'cases', 'by', 'studying', '1d', 'kicked', 'rotors', 'with', 'non', 'analytical', 'potentials', 'and', 'a', '3d', 'kicked', 'rotor', 'with', 'a', 'smooth', 'potential']] | [-0.1174816749223015, 0.15984177359462004, -0.08894216203308829, 0.10271122788476264, -0.001861594007898341, -0.19216361924019806, 0.014370485283571351, 0.308510430639281, -0.2809569025357418, -0.2254471869317486, 0.06610858864835738, -0.2404926827958073, -0.23661491837462081, 0.18166918637888396, -0.06075638875036555, 0.06642246213741601, -0.00768173434497679, 0.023771205710192374, -0.08417640235720147, -0.2120174798566629, 0.32622604961233104, 0.013474257072255783, 0.25817086806055156, 0.010936033418949912, 0.03348810459377573, 0.030855308944249853, 0.040423687259830976, 0.04480846985216511, -0.13994331522866132, 0.08379237183629919, 0.24423355004075667, 0.022279129237593974, 0.24516981367350502, -0.37689841759445913, -0.26668630287407297, 0.11174552530899425, 0.14701357195153833, 0.14771059684058213, -0.028219335350920173, -0.30468774892334993, 0.06520424497327493, -0.170935243951595, -0.1993891612462261, -0.07122140329139416, 0.01970639565192601, -0.011848771703593872, -0.25201750215115576, 0.1125479238530662, 0.07904161386438371, 0.06632850385983201, -0.016349205511676915, 0.011840137272991021, 0.02847442131160813, 0.11635323184378007, -0.0029147836078396616, 0.022509389559683554, 0.08142487738719757, -0.12750459952307316, -0.1649645917898263, 0.403487165973467, -0.03947489020031165, -0.242918893596267, 0.22970784490051516, -0.20489050350151955, -0.1535726673572379, 0.08921011922990575, 0.13572901621022646, 0.09053727785015807, -0.11756552599151344, 0.12438877352619516, -0.021637309334405205, 0.13056634934345152, 0.016490138098871444, 0.03451750114293057, 0.18919334033339777, 0.14655806484960895, 0.04356154177324189, 0.16438480247674947, -0.05535861566313542, -0.1883980807766099, -0.29074299729922237, -0.1495205081287114, -0.21604775792426045, 0.07335242092530654, -0.08112358962817405, -0.20332364118931925, 0.38818675459855617, 0.18162147272789084, 0.1841637199580231, 0.023135253571329967, 0.23843037959681276, 0.16266396619543871, 0.007408325814107871, 0.03945207854678087, 0.22746876923860435, 0.17409926283940236, 0.11001630126334289, -0.19944872811080558, 0.00984803932335447, 0.12031059079420041] |
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