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708.2049 | Three-dimensional MHD simulation of expanding magnetic flux ropes | Three-dimensional, time-dependent numerical simulations of the dynamics of
magnetic flux ropes are presented. The simulations are targeted towards an
experiment previously conducted at CalTech (Bellan, P. M. and J. F. Hansen,
Phys. Plasmas, 5, 1991 (1998)) which aimed at simulating Solar prominence
eruptions in the laboratory. The plasma dynamics is described by ideal MHD
using different models for the evolution of the mass density. Key features of
the reported experimental observations like pinching of the current loop, its
expansion and distortion into helical shape are reproduced in the numerical
simulations. Details of the final structure depend on the choice of a specific
model for the mass density.
| physics.plasm-ph physics.flu-dyn | threedimensional timedependent numerical simulations of the dynamics of magnetic flux ropes are presented the simulations are targeted towards an experiment previously conducted at caltech bellan p m and j f hansen phys plasmas 5 1991 1998 which aimed at simulating solar prominence eruptions in the laboratory the plasma dynamics is described by ideal mhd using different models for the evolution of the mass density key features of the reported experimental observations like pinching of the current loop its expansion and distortion into helical shape are reproduced in the numerical simulations details of the final structure depend on the choice of a specific model for the mass density | [['threedimensional', 'timedependent', 'numerical', 'simulations', 'of', 'the', 'dynamics', 'of', 'magnetic', 'flux', 'ropes', 'are', 'presented', 'the', 'simulations', 'are', 'targeted', 'towards', 'an', 'experiment', 'previously', 'conducted', 'at', 'caltech', 'bellan', 'p', 'm', 'and', 'j', 'f', 'hansen', 'phys', 'plasmas', '5', '1991', '1998', 'which', 'aimed', 'at', 'simulating', 'solar', 'prominence', 'eruptions', 'in', 'the', 'laboratory', 'the', 'plasma', 'dynamics', 'is', 'described', 'by', 'ideal', 'mhd', 'using', 'different', 'models', 'for', 'the', 'evolution', 'of', 'the', 'mass', 'density', 'key', 'features', 'of', 'the', 'reported', 'experimental', 'observations', 'like', 'pinching', 'of', 'the', 'current', 'loop', 'its', 'expansion', 'and', 'distortion', 'into', 'helical', 'shape', 'are', 'reproduced', 'in', 'the', 'numerical', 'simulations', 'details', 'of', 'the', 'final', 'structure', 'depend', 'on', 'the', 'choice', 'of', 'a', 'specific', 'model', 'for', 'the', 'mass', 'density']] | [-0.12942482255808313, 0.14123049583495487, -0.03643793907782463, 0.03031838676896573, -0.004230920582243772, -0.06607584741617178, -0.029699384670043103, 0.34147824189477716, -0.17207776565348434, -0.3690414460741471, 0.07152581742146513, -0.24315921601047305, -0.0860105006450735, 0.22078246356501618, 0.03695527450284563, 0.07961097121985072, 0.0908610853845271, -0.03829448165754988, -0.04692246102527759, -0.21090632547171803, 0.2645402417570422, 0.1878318408913214, 0.2379204865784937, 0.004339109792887608, 0.05575663827263933, -0.07159846882710111, -0.08307952144200627, 0.01164164733594266, -0.19091079390874877, 0.01699501724813621, 0.16392754755466638, 0.07731139360683335, 0.2286524562726546, -0.46497279619711024, -0.24779493807353706, -0.024064699592608436, 0.10674486081681658, 0.025693849111019382, -0.044212886842759765, -0.2895741247197735, 0.03154386615676579, -0.1305173917360186, -0.16401311678150407, -0.04101816772822743, 0.051427209567034914, 0.052462005119229965, -0.28886236207587995, 0.11280699367156234, 0.019130933011455513, 0.08024815442127602, -0.08970773037605718, -0.12813370240521488, -0.08930464908121606, 0.09759226983095406, -0.00032599830334118315, 0.05689677823700498, 0.1778708562716215, -0.13742544291819506, -0.10316706906621144, 0.3567945637922978, -0.02335062976621927, -0.13459704969530908, 0.2065980305077038, -0.19051515615205758, -0.13897276258696672, 0.1633511970307086, 0.14332481794424842, 0.11205864435053109, -0.10341822239407121, 0.06988708947783295, -0.09352877855063721, 0.10015743276295817, 0.04488674451588331, -0.07982650343720392, 0.24847669863559863, 0.18338147824995707, -0.06349192608352403, 0.07690416325197041, -0.14737541111247074, -0.1021002975431767, -0.3103291159060514, -0.10944002097315877, -0.17875810647296292, 0.047951159715896176, -0.05761016858061645, -0.13320833413750716, 0.41061001300602873, 0.15993603455377678, 0.1842441766862279, -0.03472396574596761, 0.2778707570178765, 0.07781640755308565, -0.006880541053539682, 0.1146885424190871, 0.27569058182362083, 0.1679088136585969, 0.13388357721878408, -0.28032044745616125, 0.0352251243116073, 0.08225206839286278] |
708.205 | Matrix equations of hydrodynamic type as lower-dimensional reductions of
Self-dual type $S$-integrable systems | We show that matrix $Q\times Q$ Self-dual type $S$-integrable Partial
Differential
Equations (PDEs) possess a family of lower-dimensional reductions represented
by the matrix $ Q \times n_0 Q$ quasilinear first order PDEs solved in
\cite{SZ1} by the method of characteristics. In turn, these PDEs admit two
types of available particular solutions: (a) explicit solutions and (b)
solutions described implicitly by a system of non-differential equations. The
later solutions, in particular, exhibit the wave profile breaking. Only first
type of solutions is available for (1+1)-dimensional nonlinear $S$-integrable
PDEs. (1+1)-dimensional $N$-wave equation, (2+1)- and (3+1)-dimensional
Pohlmeyer equations are represented as examples. We also represent a new
version of the dressing method which supplies both classical solutions and
solutions with wave profile breaking to the above $S$-integrable PDEs.
| nlin.SI | we show that matrix qtimes q selfdual type sintegrable partial differential equations pdes possess a family of lowerdimensional reductions represented by the matrix q times n_0 q quasilinear first order pdes solved in citesz1 by the method of characteristics in turn these pdes admit two types of available particular solutions a explicit solutions and b solutions described implicitly by a system of nondifferential equations the later solutions in particular exhibit the wave profile breaking only first type of solutions is available for 11dimensional nonlinear sintegrable pdes 11dimensional nwave equation 21 and 31dimensional pohlmeyer equations are represented as examples we also represent a new version of the dressing method which supplies both classical solutions and solutions with wave profile breaking to the above sintegrable pdes | [['we', 'show', 'that', 'matrix', 'qtimes', 'q', 'selfdual', 'type', 'sintegrable', 'partial', 'differential', 'equations', 'pdes', 'possess', 'a', 'family', 'of', 'lowerdimensional', 'reductions', 'represented', 'by', 'the', 'matrix', 'q', 'times', 'n_0', 'q', 'quasilinear', 'first', 'order', 'pdes', 'solved', 'in', 'citesz1', 'by', 'the', 'method', 'of', 'characteristics', 'in', 'turn', 'these', 'pdes', 'admit', 'two', 'types', 'of', 'available', 'particular', 'solutions', 'a', 'explicit', 'solutions', 'and', 'b', 'solutions', 'described', 'implicitly', 'by', 'a', 'system', 'of', 'nondifferential', 'equations', 'the', 'later', 'solutions', 'in', 'particular', 'exhibit', 'the', 'wave', 'profile', 'breaking', 'only', 'first', 'type', 'of', 'solutions', 'is', 'available', 'for', '11dimensional', 'nonlinear', 'sintegrable', 'pdes', '11dimensional', 'nwave', 'equation', '21', 'and', '31dimensional', 'pohlmeyer', 'equations', 'are', 'represented', 'as', 'examples', 'we', 'also', 'represent', 'a', 'new', 'version', 'of', 'the', 'dressing', 'method', 'which', 'supplies', 'both', 'classical', 'solutions', 'and', 'solutions', 'with', 'wave', 'profile', 'breaking', 'to', 'the', 'above', 'sintegrable', 'pdes']] | [-0.17261594705914537, 0.04366011601767593, -0.02474771405480081, 0.04976315069999997, -0.10076112111639832, -0.19081051875236293, -0.08732804677809679, 0.24670425719429454, -0.2700862383560067, -0.2655782068388597, 0.14662021110228624, -0.3164315323717141, -0.180722052366623, 0.16441529947933892, -0.0011910572009641797, 0.10648966624191211, 0.04594879824716988, -0.006369259345510434, -0.14340507809538394, -0.2488452735912776, 0.366165911162933, -0.11344069125311028, 0.22250783191092552, -0.05606002991853823, 0.17359077593597072, -0.05630535024571263, -0.00537099167160059, 0.030751487784718555, -0.16238637677716108, 0.05620335329384092, 0.29296801119081434, 0.08026580568947529, 0.19161786270448036, -0.4255557806876999, -0.2304548765889429, 0.05912727207666443, 0.18669664438329486, 0.1321140201067582, -0.032732819218278655, -0.30313775324142506, 0.048424812296645775, -0.16641787217644555, -0.21943572584930207, -0.09147202821012827, 0.034481385617607066, 0.07669340575399299, -0.26596371532087365, 0.118092295685323, 0.07830154317836728, -0.016782166137765613, -0.12189679226327327, -0.08229146945391662, -0.06632593376261572, -0.027919585516135537, 0.026920949518229934, -0.029253568631717033, -0.003699010678833621, -0.14574597233290515, -0.11346024823104663, 0.3669695937419273, -0.08811008135859494, -0.32720246358263877, 0.1289393497826231, -0.07562774538077534, -0.10902687803196211, 0.19487390228319018, 0.19325328741592052, 0.19267620254428156, -0.1531978883994593, 0.15391313143300067, -0.04936648328059105, 0.17357121370432357, 0.12854155582270674, -0.01324178607413365, 0.10287482800683187, 0.08670013071969151, 0.04321454101873021, 0.09120912072549184, 0.07814847735778219, -0.13781491231038084, -0.3682598709128797, -0.10633250778060287, -0.0965973048512223, 0.10633385572427576, -0.12398548314294819, -0.18043532169934723, 0.3842928533652617, 0.08532211190838772, 0.12295538337240296, 0.03922560317685918, 0.14916217628295622, 0.24305928722981573, 0.024975584104991396, 0.09187549406910435, 0.16726100761743803, 0.17767534509203547, 0.15368214652182594, -0.2093689180985694, -0.04238801034948518, 0.22148307806046139] |
708.2051 | Lefschetz fibrations, intersection numbers, and representations of the
framed braid group | We examine the action of the fundamental group $\Gamma$ of a Riemann surface
with $m$ punctures on the middle dimensional homology of a regular fiber in a
Lefschetz fibration, and describe to what extent this action can be recovered
from the intersection numbers of vanishing cycles. Basis changes for the
vanishing cycles result in a nonlinear action of the framed braid group
$\widetilde{\mathcal B}$ on $m$ strings on a suitable space of $m\times m$
matrices. This action is determined by a family of cohomologous 1-cocycles
${\mathcal S}_c:\widetilde{\mathcal B}\to GL_m({\mathbb{Z}}[\Gamma])$
parametrized by distinguished configurations $c$ of embedded paths from the
regular value to the critical values. In the case of the disc, we compare this
family of cocycles with the Magnus cocycles given by Fox calculus and consider
some abelian reductions giving rise to linear representations of braid groups.
We also prove that, still in the case of the disc, the intersection numbers
along straight lines, which conjecturally make sense in infinite dimensional
situations, carry all the relevant information.
| math.GT math.SG | we examine the action of the fundamental group gamma of a riemann surface with m punctures on the middle dimensional homology of a regular fiber in a lefschetz fibration and describe to what extent this action can be recovered from the intersection numbers of vanishing cycles basis changes for the vanishing cycles result in a nonlinear action of the framed braid group widetildemathcal b on m strings on a suitable space of mtimes m matrices this action is determined by a family of cohomologous 1cocycles mathcal s_cwidetildemathcal bto gl_mmathbbzgamma parametrized by distinguished configurations c of embedded paths from the regular value to the critical values in the case of the disc we compare this family of cocycles with the magnus cocycles given by fox calculus and consider some abelian reductions giving rise to linear representations of braid groups we also prove that still in the case of the disc the intersection numbers along straight lines which conjecturally make sense in infinite dimensional situations carry all the relevant information | [['we', 'examine', 'the', 'action', 'of', 'the', 'fundamental', 'group', 'gamma', 'of', 'a', 'riemann', 'surface', 'with', 'm', 'punctures', 'on', 'the', 'middle', 'dimensional', 'homology', 'of', 'a', 'regular', 'fiber', 'in', 'a', 'lefschetz', 'fibration', 'and', 'describe', 'to', 'what', 'extent', 'this', 'action', 'can', 'be', 'recovered', 'from', 'the', 'intersection', 'numbers', 'of', 'vanishing', 'cycles', 'basis', 'changes', 'for', 'the', 'vanishing', 'cycles', 'result', 'in', 'a', 'nonlinear', 'action', 'of', 'the', 'framed', 'braid', 'group', 'widetildemathcal', 'b', 'on', 'm', 'strings', 'on', 'a', 'suitable', 'space', 'of', 'mtimes', 'm', 'matrices', 'this', 'action', 'is', 'determined', 'by', 'a', 'family', 'of', 'cohomologous', '1cocycles', 'mathcal', 's_cwidetildemathcal', 'bto', 'gl_mmathbbzgamma', 'parametrized', 'by', 'distinguished', 'configurations', 'c', 'of', 'embedded', 'paths', 'from', 'the', 'regular', 'value', 'to', 'the', 'critical', 'values', 'in', 'the', 'case', 'of', 'the', 'disc', 'we', 'compare', 'this', 'family', 'of', 'cocycles', 'with', 'the', 'magnus', 'cocycles', 'given', 'by', 'fox', 'calculus', 'and', 'consider', 'some', 'abelian', 'reductions', 'giving', 'rise', 'to', 'linear', 'representations', 'of', 'braid', 'groups', 'we', 'also', 'prove', 'that', 'still', 'in', 'the', 'case', 'of', 'the', 'disc', 'the', 'intersection', 'numbers', 'along', 'straight', 'lines', 'which', 'conjecturally', 'make', 'sense', 'in', 'infinite', 'dimensional', 'situations', 'carry', 'all', 'the', 'relevant', 'information']] | [-0.21461133295894566, 0.13744819873427772, -0.06603212184300758, 0.05327916206477816, -0.06267799696525986, -0.1266235034766955, 0.04661079457398583, 0.31305800452940613, -0.3131554728620742, -0.2253070399754243, 0.10000427236923588, -0.229511243094836, -0.141885017294504, 0.18550411420621832, -0.13782774400616804, -0.01346838533524522, 0.0770294346442693, 0.10768004617000178, -0.09893216053339518, -0.25817589293632387, 0.3835542783785365, -0.040962043756910836, 0.20406172586694718, -0.0014435178558173847, 0.0804192955684231, -0.00022745586325784763, -0.030387751452333057, 0.02627200982235344, -0.168160187435578, 0.131232973220816, 0.27556169954274434, 0.04004981016869241, 0.16022479075220336, -0.3847786826376119, -0.1705166884524052, 0.15931972690874777, 0.11183086118425231, 0.013998368835632116, 0.03261034513321559, -0.2668685120914737, 0.0870928194826884, -0.17176547943697176, -0.16002685498412564, -0.049837906154837595, 0.08621412066810102, 0.0007327247540051319, -0.21391429120663508, -0.023143995818520717, 0.07831884976139808, 0.10665814833805325, -0.03985791340335665, -0.08446698427391071, -0.06745179484497352, 0.11276552684504135, 0.04293224940157821, 0.049615387205197196, 0.10990091609903219, -0.11721275165841524, -0.1110836519328148, 0.39251765154557394, -0.08505746668221496, -0.23742306674322175, 0.12080514068008368, -0.18788029471445963, -0.1633091372345204, 0.14797496240788016, 0.10841942032664476, 0.162101199954232, -0.028818748495646706, 0.18938903738562218, -0.12022702364357615, 0.08992128899665998, 0.13051873966574623, -0.02402545076146924, 0.1870652007960142, 0.06509124122683453, 0.07887592012797628, 0.14517851253089226, -0.0013708813443460155, -0.056668313587097036, -0.3509964660393545, -0.17937790866133319, -0.11158509047474735, 0.16257699410829424, -0.11543664411366047, -0.191255431662942, 0.4039170089576124, 0.0624934002043152, 0.22900830025515373, 0.10887844395102843, 0.20782122756522822, 0.07541634075705478, 0.06611397452561285, 0.07252480909621051, 0.12086823871390788, 0.18862910961861307, -0.01114200773446944, -0.1685139535602283, -0.022098835524036943, 0.2224475223492517] |
708.2052 | Quantum Singularities in Spacetimes with Spherical and Cylindrical
Topological Defects | Exact solutions of Einstein equations with null Riemman-Christoffel curvature
tensor everywhere, except on a hypersurface, are studied using quantum
particles obeying the Klein-Gordon equation. We consider the particular cases
when the curvature is represented by a Dirac delta function with support either
on a sphere or on a cylinder (spherical and cylindrical shells). In particular,
we analyze the necessity of extra boundary conditions on the shells.
| gr-qc | exact solutions of einstein equations with null riemmanchristoffel curvature tensor everywhere except on a hypersurface are studied using quantum particles obeying the kleingordon equation we consider the particular cases when the curvature is represented by a dirac delta function with support either on a sphere or on a cylinder spherical and cylindrical shells in particular we analyze the necessity of extra boundary conditions on the shells | [['exact', 'solutions', 'of', 'einstein', 'equations', 'with', 'null', 'riemmanchristoffel', 'curvature', 'tensor', 'everywhere', 'except', 'on', 'a', 'hypersurface', 'are', 'studied', 'using', 'quantum', 'particles', 'obeying', 'the', 'kleingordon', 'equation', 'we', 'consider', 'the', 'particular', 'cases', 'when', 'the', 'curvature', 'is', 'represented', 'by', 'a', 'dirac', 'delta', 'function', 'with', 'support', 'either', 'on', 'a', 'sphere', 'or', 'on', 'a', 'cylinder', 'spherical', 'and', 'cylindrical', 'shells', 'in', 'particular', 'we', 'analyze', 'the', 'necessity', 'of', 'extra', 'boundary', 'conditions', 'on', 'the', 'shells']] | [-0.19324568543010034, 0.11035197116434574, -0.045643134085604775, 0.06074790518480138, -0.07502032678502683, -0.16498033675150228, -0.05714104534126818, 0.33068727911091766, -0.1462696023357029, -0.21110445197958214, 0.13872166555912163, -0.30787971294843236, -0.13286845197256367, 0.12319240178912878, -0.003632898285734252, 0.057003695845532304, 0.07305904906243085, 0.10542525859334721, -0.12554112903487225, -0.20524259300974126, 0.4411906378988463, -0.021170578046272006, 0.22139274882009397, 0.028910413552792027, 0.13633452331235346, 0.006400312332866283, 0.05593324451205822, 0.0807306605303613, -0.1950613321378254, 0.05072808201926259, 0.10650831509041242, 0.03723129857188234, 0.21090098466151036, -0.49798700136060897, -0.24708582571206184, 0.10622535913896103, 0.1380000989812498, 0.06244035543730626, -0.045713241613255094, -0.3067439541220665, 0.05090947595890612, -0.09278059596052536, -0.23917999496110356, -0.02362254190330322, -0.01111872661142395, 0.030239199796834818, -0.22349826379750784, 0.11840445738858901, 0.060079638502345635, 0.03545426193338174, -0.13966200314103983, -0.0895434428149691, -0.022998339912066092, 0.01348965177536369, 0.07150342773753576, -0.027470064707673512, 0.08771158860853086, -0.12677748008416248, -0.01619100345728489, 0.41466012013932835, -0.0996482576100299, -0.370836550455827, 0.14695916364972408, -0.15671425398009328, -0.040892119698513016, 0.07792339706077026, 0.16961121268283863, 0.15649291542716898, -0.09623582597862249, 0.2022384191639363, -0.048567069246648595, 0.11793523248858177, 0.1641325389035046, -0.06428606068858733, 0.22804356657971556, 0.06993684226002257, 0.078474636345457, 0.15962266555199256, -0.04376155261595089, -0.12742781424536728, -0.40502077432779166, -0.19584669593112686, -0.2019715087237553, 0.11936730422939246, -0.13291081610614827, -0.23477023784071208, 0.33057640647658937, -0.018058886084383212, 0.17240307686510137, 0.03620546984557922, 0.259319666457864, 0.12571530992595048, 0.03018795051970161, 0.12469097865172303, 0.22871127469608418, 0.16764073190637507, 0.09905105972519287, -0.16244943405573184, -0.052390329382167415, 0.10875068185134576] |
708.2053 | Fluctuation scaling in complex systems: Taylor's law and beyond | Complex systems consist of many interacting elements which participate in
some dynamical process. The activity of various elements is often different and
the fluctuation in the activity of an element grows monotonically with the
average activity. This relationship is often of the form "$fluctuations \approx
const.\times average^\alpha$", where the exponent $\alpha$ is predominantly in
the range $[1/2, 1]$. This power law has been observed in a very wide range of
disciplines, ranging from population dynamics through the Internet to the stock
market and it is often treated under the names \emph{Taylor's law} or
\emph{fluctuation scaling}. This review attempts to show how general the above
scaling relationship is by surveying the literature, as well as by reporting
some new empirical data and model calculations. We also show some basic
principles that can underlie the generality of the phenomenon. This is followed
by a mean-field framework based on sums of random variables. In this context
the emergence of fluctuation scaling is equivalent to some corresponding limit
theorems. In certain physical systems fluctuation scaling can be related to
finite size scaling.
| physics.soc-ph | complex systems consist of many interacting elements which participate in some dynamical process the activity of various elements is often different and the fluctuation in the activity of an element grows monotonically with the average activity this relationship is often of the form fluctuations approx consttimes averagealpha where the exponent alpha is predominantly in the range 12 1 this power law has been observed in a very wide range of disciplines ranging from population dynamics through the internet to the stock market and it is often treated under the names emphtaylors law or emphfluctuation scaling this review attempts to show how general the above scaling relationship is by surveying the literature as well as by reporting some new empirical data and model calculations we also show some basic principles that can underlie the generality of the phenomenon this is followed by a meanfield framework based on sums of random variables in this context the emergence of fluctuation scaling is equivalent to some corresponding limit theorems in certain physical systems fluctuation scaling can be related to finite size scaling | [['complex', 'systems', 'consist', 'of', 'many', 'interacting', 'elements', 'which', 'participate', 'in', 'some', 'dynamical', 'process', 'the', 'activity', 'of', 'various', 'elements', 'is', 'often', 'different', 'and', 'the', 'fluctuation', 'in', 'the', 'activity', 'of', 'an', 'element', 'grows', 'monotonically', 'with', 'the', 'average', 'activity', 'this', 'relationship', 'is', 'often', 'of', 'the', 'form', 'fluctuations', 'approx', 'consttimes', 'averagealpha', 'where', 'the', 'exponent', 'alpha', 'is', 'predominantly', 'in', 'the', 'range', '12', '1', 'this', 'power', 'law', 'has', 'been', 'observed', 'in', 'a', 'very', 'wide', 'range', 'of', 'disciplines', 'ranging', 'from', 'population', 'dynamics', 'through', 'the', 'internet', 'to', 'the', 'stock', 'market', 'and', 'it', 'is', 'often', 'treated', 'under', 'the', 'names', 'emphtaylors', 'law', 'or', 'emphfluctuation', 'scaling', 'this', 'review', 'attempts', 'to', 'show', 'how', 'general', 'the', 'above', 'scaling', 'relationship', 'is', 'by', 'surveying', 'the', 'literature', 'as', 'well', 'as', 'by', 'reporting', 'some', 'new', 'empirical', 'data', 'and', 'model', 'calculations', 'we', 'also', 'show', 'some', 'basic', 'principles', 'that', 'can', 'underlie', 'the', 'generality', 'of', 'the', 'phenomenon', 'this', 'is', 'followed', 'by', 'a', 'meanfield', 'framework', 'based', 'on', 'sums', 'of', 'random', 'variables', 'in', 'this', 'context', 'the', 'emergence', 'of', 'fluctuation', 'scaling', 'is', 'equivalent', 'to', 'some', 'corresponding', 'limit', 'theorems', 'in', 'certain', 'physical', 'systems', 'fluctuation', 'scaling', 'can', 'be', 'related', 'to', 'finite', 'size', 'scaling']] | [-0.1026663232398939, 0.15625644765474467, -0.09795806630361105, 0.08493671430556499, -0.0380378038829473, -0.08879553597878177, 0.0551950579604388, 0.3277309586595617, -0.3026484027769501, -0.3176417830638291, 0.12132862297717524, -0.2997399258787151, -0.1740598546629454, 0.19788148800646674, -0.06035959599169225, 0.044335407805523246, -0.02847951563704886, 0.03779612441907044, -0.027213981476300185, -0.21067830649553798, 0.31552636781469284, 0.041771649366637575, 0.3024978212303143, 0.03664441166851744, 0.04686529981567715, -0.02406635586190863, -0.017680726365969433, 0.03482056563370861, -0.10834145480496525, 0.08828868336224166, 0.24282162617667133, 0.10350305534798694, 0.293436005812096, -0.392521494152871, -0.23118108566532927, 0.09879110506947407, 0.15968263595476112, 0.06470416835757285, -0.02543701777176466, -0.2226798097134716, 0.07610835472058336, -0.18558279972173544, -0.13268054124967998, -0.058037671757946635, 0.05842337501235306, 0.08278536287649661, -0.239647558985532, 0.09216875798781322, 0.06484763351231364, 0.09668337053910198, -0.033802357750987125, -0.09480574954795884, 0.022470852706068068, 0.1582883625193393, 0.09619382247695864, 0.0006180831055230969, 0.14769607781834732, -0.1269953421261479, -0.0947361720847601, 0.3786783762149174, -0.020620823369509624, -0.14943059037506662, 0.20260766328614077, -0.16667939620939168, -0.16610436617470856, 0.10101713191993027, 0.14713112787020774, 0.07538638863917929, -0.18291421284084208, 0.08169333775036978, -0.045325246935218194, 0.18254247912211047, 0.017389900850089776, 0.03330504580100586, 0.18273295494939454, 0.18104848547425884, 0.014860692722074666, 0.11104623326933837, -0.03741455333577257, -0.1588626105340981, -0.28993096555032855, -0.10878861316119913, -0.16281727371758528, 0.07981762621652293, -0.11552813067869878, -0.13947938237371008, 0.3722399338823214, 0.16179356479948515, 0.20587900558761743, 0.06132701067161344, 0.2328166371232576, 0.15196907256904524, 0.06949701429535211, 0.04357446801573546, 0.21654099859204673, 0.12699867054073943, 0.12143981521181889, -0.1780891327560477, 0.09310167773351581, 0.028397385660685937] |
708.2054 | Complex cobordism classes of homogeneous spaces | We consider compact homogeneous spaces G/H of positive Euler characteristic
endowed with an invariant almost complex structure J and the canonical action
\theta of the maximal torus T ^{k} on G/H. We obtain explicit formula for the
cobordism class of such manifold through the weights of the action \theta at
the identity fixed point eH by an action of the quotient group W_G/W_H of the
Weyl groups for G and H. In this way we show that the cobordism class for such
manifolds can be computed explicitly without information on their cohomology.
We also show that formula for cobordism class provides an explicit way for
computing the classical Chern numbers for (G/H, J). As a consequence we obtain
that the Chern numbers for (G/H, J) can be computed without information on
cohomology for G/H. As an application we provide an explicit formula for
cobordism classes and characteristic numbers of the flag manifolds U(n)/T^n,
Grassmann manifolds G_{n,k}=U(n)/(U(k)\times U(n-k)) and some particular
interesting examples.
| math.AT math.GT | we consider compact homogeneous spaces gh of positive euler characteristic endowed with an invariant almost complex structure j and the canonical action theta of the maximal torus t k on gh we obtain explicit formula for the cobordism class of such manifold through the weights of the action theta at the identity fixed point eh by an action of the quotient group w_gw_h of the weyl groups for g and h in this way we show that the cobordism class for such manifolds can be computed explicitly without information on their cohomology we also show that formula for cobordism class provides an explicit way for computing the classical chern numbers for gh j as a consequence we obtain that the chern numbers for gh j can be computed without information on cohomology for gh as an application we provide an explicit formula for cobordism classes and characteristic numbers of the flag manifolds untn grassmann manifolds g_nkunuktimes unk and some particular interesting examples | [['we', 'consider', 'compact', 'homogeneous', 'spaces', 'gh', 'of', 'positive', 'euler', 'characteristic', 'endowed', 'with', 'an', 'invariant', 'almost', 'complex', 'structure', 'j', 'and', 'the', 'canonical', 'action', 'theta', 'of', 'the', 'maximal', 'torus', 't', 'k', 'on', 'gh', 'we', 'obtain', 'explicit', 'formula', 'for', 'the', 'cobordism', 'class', 'of', 'such', 'manifold', 'through', 'the', 'weights', 'of', 'the', 'action', 'theta', 'at', 'the', 'identity', 'fixed', 'point', 'eh', 'by', 'an', 'action', 'of', 'the', 'quotient', 'group', 'w_gw_h', 'of', 'the', 'weyl', 'groups', 'for', 'g', 'and', 'h', 'in', 'this', 'way', 'we', 'show', 'that', 'the', 'cobordism', 'class', 'for', 'such', 'manifolds', 'can', 'be', 'computed', 'explicitly', 'without', 'information', 'on', 'their', 'cohomology', 'we', 'also', 'show', 'that', 'formula', 'for', 'cobordism', 'class', 'provides', 'an', 'explicit', 'way', 'for', 'computing', 'the', 'classical', 'chern', 'numbers', 'for', 'gh', 'j', 'as', 'a', 'consequence', 'we', 'obtain', 'that', 'the', 'chern', 'numbers', 'for', 'gh', 'j', 'can', 'be', 'computed', 'without', 'information', 'on', 'cohomology', 'for', 'gh', 'as', 'an', 'application', 'we', 'provide', 'an', 'explicit', 'formula', 'for', 'cobordism', 'classes', 'and', 'characteristic', 'numbers', 'of', 'the', 'flag', 'manifolds', 'untn', 'grassmann', 'manifolds', 'g_nkunuktimes', 'unk', 'and', 'some', 'particular', 'interesting', 'examples']] | [-0.21540714423728627, 0.07874627190661461, -0.07683859547342425, 0.08060381031644959, -0.11817425722695606, -0.14004726919679428, -0.0019292804623409262, 0.37489126660164046, -0.2965883790696942, -0.26376697517720593, 0.07305836020500264, -0.21953403493301626, -0.18903976531828162, 0.2293885640577419, -0.10009166161945593, -0.026878375934917223, 0.02489020279608667, 0.12673745621101926, -0.10443384501403608, -0.2341244232477679, 0.4494107721033711, -0.03217866559038466, 0.1980358976268564, 0.06297253343751127, 0.13173724750899593, -0.003678066258424155, -0.0031723614032350997, 0.008029195210609422, -0.18159868040940477, 0.11005426666175115, 0.2857228145706204, 0.038463637613509814, 0.13484813855908248, -0.36202662837334304, -0.164031025502573, 0.1747467019097329, 0.10263423946153068, 0.027800450195212784, -0.019240012344810525, -0.301217784741952, 0.10091681499903621, -0.1792806823234185, -0.15541982478696453, -0.14280320424586535, 0.10333358343550057, -0.016310837096388236, -0.25024318505179594, -0.01565679469978314, 0.0952030884222063, 0.1322636545735335, -0.06463456828053454, -0.11820487911760244, -0.062026830826470127, 0.12741325085443803, -0.01725406576396089, 0.01957423715345538, 0.07334943948044155, -0.10831292982962944, -0.13262079985345182, 0.3743021031607341, -0.11604651344541765, -0.26311874122552154, 0.09270306469275141, -0.10432283186394745, -0.18444627987326317, 0.1158079387848529, 0.08862456862972874, 0.2041630382421163, 0.0032989078683854788, 0.16947296233525583, -0.10845672322800325, 0.02609988667437684, 0.0814444248230671, 0.016953517703351174, 0.14392001121656373, 0.022698522035805684, 0.13837329944911994, 0.13885730188691392, -0.03253623129032646, -0.04201159518433196, -0.3744095586615164, -0.26759499965130157, -0.18501271202914277, 0.19689462123930734, -0.14441661637403808, -0.1472655477649503, 0.35872408708428627, 0.023645143886755732, 0.21226883086569184, 0.15128679493710884, 0.20556141329495786, 0.09212869476108174, 0.027816315288450452, 0.0769413988392964, 0.09163560761734052, 0.17902085870510237, -0.027953288947677228, -0.15773182226134078, -0.0404897117782267, 0.20166047685926067] |
708.2055 | Spectral Coarse Graining and Synchronization in Oscillator Networks | Coarse graining techniques offer a promising alternative to large-scale
simulations of complex dynamical systems, as long as the coarse-grained system
is truly representative of the initial one. Here, we investigate how the
dynamical properties of oscillator networks are affected when some nodes are
merged together to form a coarse-grained network. Moreover, we show that there
exists a way of grouping nodes preserving as much as possible some crucial
aspects of the network dynamics. This coarse graining approach provides a
useful method to simplify complex oscillator networks, and more generally any
network whose dynamics involves a Laplacian matrix.
| cond-mat.dis-nn | coarse graining techniques offer a promising alternative to largescale simulations of complex dynamical systems as long as the coarsegrained system is truly representative of the initial one here we investigate how the dynamical properties of oscillator networks are affected when some nodes are merged together to form a coarsegrained network moreover we show that there exists a way of grouping nodes preserving as much as possible some crucial aspects of the network dynamics this coarse graining approach provides a useful method to simplify complex oscillator networks and more generally any network whose dynamics involves a laplacian matrix | [['coarse', 'graining', 'techniques', 'offer', 'a', 'promising', 'alternative', 'to', 'largescale', 'simulations', 'of', 'complex', 'dynamical', 'systems', 'as', 'long', 'as', 'the', 'coarsegrained', 'system', 'is', 'truly', 'representative', 'of', 'the', 'initial', 'one', 'here', 'we', 'investigate', 'how', 'the', 'dynamical', 'properties', 'of', 'oscillator', 'networks', 'are', 'affected', 'when', 'some', 'nodes', 'are', 'merged', 'together', 'to', 'form', 'a', 'coarsegrained', 'network', 'moreover', 'we', 'show', 'that', 'there', 'exists', 'a', 'way', 'of', 'grouping', 'nodes', 'preserving', 'as', 'much', 'as', 'possible', 'some', 'crucial', 'aspects', 'of', 'the', 'network', 'dynamics', 'this', 'coarse', 'graining', 'approach', 'provides', 'a', 'useful', 'method', 'to', 'simplify', 'complex', 'oscillator', 'networks', 'and', 'more', 'generally', 'any', 'network', 'whose', 'dynamics', 'involves', 'a', 'laplacian', 'matrix']] | [-0.14698198486537165, 0.08725428722376369, -0.11414279731124946, 0.09005816085636136, -0.07109790752622654, -0.17267711329773144, 0.013556659467681552, 0.39454332923459023, -0.29666497141660486, -0.25911473004704283, 0.07790244196916056, -0.20634262639364304, -0.26672187840959694, 0.1742817280026748, -0.028895723167806864, 0.0671067546774662, 0.11749530034187759, 0.03346983245189887, -0.059454166566228164, -0.19905673787381845, 0.3428715645580447, 0.07596815220493171, 0.24100903938668444, -0.002830975314544648, 0.12348315294486345, -0.04054423193831343, 0.0013464432324945311, 0.061423057132189346, -0.10452572699222466, 0.1406488868422307, 0.23710824763786392, 0.1372580849613572, 0.3302569858268979, -0.4722378452298875, -0.27554630704185706, 0.11088624813584323, 0.17554785906500422, 0.16454493167051643, -0.00024442184676257795, -0.2658604066434902, 0.09949052817255412, -0.16887423184882736, -0.12423730866273039, -0.1754638565555407, 0.009009063781536732, 0.028745460597625404, -0.23379457683948146, 0.050442362553440034, 0.03131145168427071, 0.02136821803842676, 0.002912960447294196, -0.07144878378267563, -0.04732559963139062, 0.18974598490461447, -0.04124890170396142, 0.017873356637266493, 0.15867787784867987, -0.1067315623711449, -0.08943819425539258, 0.43278617642282213, -0.014466420219270224, -0.26440274552202103, 0.23759326824591948, -0.04488154733553529, -0.191901398669045, 0.09548256670595291, 0.1611011357133075, 0.11036709675411742, -0.161383844948807, 0.00747424829211182, -0.042153909005531946, 0.18664287802638466, -0.0036796343695257127, 0.08787061319657669, 0.17786068262858795, 0.261014235165143, 0.1113021437645189, 0.1241746110956847, -0.014233265859410935, -0.13769890344521685, -0.24801949283933825, -0.12835518370584115, -0.19944900876756028, 0.09300448235902052, -0.1344907949125027, -0.1831809760253761, 0.3967512538440564, 0.17088711620116434, 0.21838429183747196, 0.05553619112080136, 0.29361043301454176, 0.05309958519298852, 0.07219001646969736, 0.049227404283340444, 0.15920682748258785, 0.13696848901622383, 0.11268481051971771, -0.1704746481924097, 0.05083803133078918, 0.07214010183065746] |
708.2056 | Wegner bounds for a two-particle tight binding model | We consider a quantum two-particle system on a d-dimensional lattice with
interaction and in presence of an IID external potential. We establish
Wegner-typer estimates for such a model. The main tool used is Stollmann's
lemma.
| math-ph math.MP | we consider a quantum twoparticle system on a ddimensional lattice with interaction and in presence of an iid external potential we establish wegnertyper estimates for such a model the main tool used is stollmanns lemma | [['we', 'consider', 'a', 'quantum', 'twoparticle', 'system', 'on', 'a', 'ddimensional', 'lattice', 'with', 'interaction', 'and', 'in', 'presence', 'of', 'an', 'iid', 'external', 'potential', 'we', 'establish', 'wegnertyper', 'estimates', 'for', 'such', 'a', 'model', 'the', 'main', 'tool', 'used', 'is', 'stollmanns', 'lemma']] | [-0.150124548680403, 0.07807237055605969, -0.08777593256849231, 0.063464296999331, 0.016423735287830685, -0.16240916848464898, 0.03031850642185997, 0.3617146072316576, -0.2412717417446953, -0.21683269795594792, 0.08910976704139488, -0.2913893354901423, -0.17555700165261937, 0.1985715601635589, -0.04303539427223079, 0.07076785064330607, 0.04986457289619879, 0.07218947337065457, 0.019816895297756702, -0.19932260308555808, 0.3273648208458767, -0.02556704986967485, 0.21073526685888117, 0.08279193119343484, 0.08767015875006716, 0.1508406387345696, 0.0025679655514205947, -0.013629718937657097, -0.1526872557729031, 0.11481951764135649, 0.15806400138270957, 0.018314901894579332, 0.289198262616992, -0.4121115862984549, -0.2078884472562508, 0.15204674681422836, 0.1094053942484386, 0.18752283602952957, -0.0977131909387412, -0.3066929066271493, 0.05781145569529723, -0.1911701461808248, -0.20840713384589463, -0.06242855855574211, -0.03323845254878203, 0.029072131566477543, -0.3659472252157601, 0.051614932849946796, 0.1005491352442539, 0.0824240656061606, -0.09304358753742593, -0.07517116647707581, 0.0633291673253883, 0.13462565609282165, -0.03894725506843039, 0.08477328259102775, 0.07802934179816282, -0.11905150550107162, -0.1350740175553118, 0.39159710990321456, -0.11475353520786898, -0.26341431283138017, 0.20752123923915805, -0.082320836781891, -0.13062535130390615, -0.012272877548115723, 0.2282634334582271, 0.0826714239506559, -0.16279285993765702, 0.12741538001556005, -0.05347869009005301, 0.17162268052837162, -0.024177890623722113, 0.05875610771842978, 0.19365833440061772, 0.16105873476375232, 0.10366156321922035, 0.2484917722247315, -0.08274205069226975, -0.11295773901722649, -0.3384426622228189, -0.14011738519889838, -0.2341102875882026, 0.11524566459102613, -0.13394816535847812, -0.20132036673638856, 0.3406416939035284, 0.16246713194149462, 0.17922437972756047, 0.01306617498454271, 0.2591274588397055, 0.1543193914729989, 0.0072406449383406925, 0.060371488854853494, 0.1468435562300411, 0.18862804770469666, 0.04238551991963477, -0.16690897223342097, 0.03515718215512055, 0.12157370960057685] |
708.2057 | Doppler shift oscillations in solar spicules | Consecutive height series of Ha spectra in solar limb spicules taken on the
53 cm coronagraph of Abastumani Astrophysical Observatory at the heights of
3800-8700 km above the photosphere have been analyzed. The aim is to observe
oscillatory phenomena in spicules and consequently to trace wave propagations
through the chromosphere. The Discrete Fourier Transform analysis of Ha Doppler
shift time series constructed from the observed spectra at each height is used.
Doppler velocities of solar limb spicules show oscillations with periods of
20-55 and 75-110 s. There is also the clear evidence of 3-min oscillations at
the observed heights. The oscillations can be caused by wave propagations in
thin magnetic flux tubes anchored in the photosphere. We suggest the
granulation as a possible source for the wave excitation. Observed waves can be
used as a tool for spicule seismology; the magnetic field strength in spicules
at the height of about 6000 km above the photosphere is estimated as 12-15 G.
| astro-ph | consecutive height series of ha spectra in solar limb spicules taken on the 53 cm coronagraph of abastumani astrophysical observatory at the heights of 38008700 km above the photosphere have been analyzed the aim is to observe oscillatory phenomena in spicules and consequently to trace wave propagations through the chromosphere the discrete fourier transform analysis of ha doppler shift time series constructed from the observed spectra at each height is used doppler velocities of solar limb spicules show oscillations with periods of 2055 and 75110 s there is also the clear evidence of 3min oscillations at the observed heights the oscillations can be caused by wave propagations in thin magnetic flux tubes anchored in the photosphere we suggest the granulation as a possible source for the wave excitation observed waves can be used as a tool for spicule seismology the magnetic field strength in spicules at the height of about 6000 km above the photosphere is estimated as 1215 g | [['consecutive', 'height', 'series', 'of', 'ha', 'spectra', 'in', 'solar', 'limb', 'spicules', 'taken', 'on', 'the', '53', 'cm', 'coronagraph', 'of', 'abastumani', 'astrophysical', 'observatory', 'at', 'the', 'heights', 'of', '38008700', 'km', 'above', 'the', 'photosphere', 'have', 'been', 'analyzed', 'the', 'aim', 'is', 'to', 'observe', 'oscillatory', 'phenomena', 'in', 'spicules', 'and', 'consequently', 'to', 'trace', 'wave', 'propagations', 'through', 'the', 'chromosphere', 'the', 'discrete', 'fourier', 'transform', 'analysis', 'of', 'ha', 'doppler', 'shift', 'time', 'series', 'constructed', 'from', 'the', 'observed', 'spectra', 'at', 'each', 'height', 'is', 'used', 'doppler', 'velocities', 'of', 'solar', 'limb', 'spicules', 'show', 'oscillations', 'with', 'periods', 'of', '2055', 'and', '75110', 's', 'there', 'is', 'also', 'the', 'clear', 'evidence', 'of', '3min', 'oscillations', 'at', 'the', 'observed', 'heights', 'the', 'oscillations', 'can', 'be', 'caused', 'by', 'wave', 'propagations', 'in', 'thin', 'magnetic', 'flux', 'tubes', 'anchored', 'in', 'the', 'photosphere', 'we', 'suggest', 'the', 'granulation', 'as', 'a', 'possible', 'source', 'for', 'the', 'wave', 'excitation', 'observed', 'waves', 'can', 'be', 'used', 'as', 'a', 'tool', 'for', 'spicule', 'seismology', 'the', 'magnetic', 'field', 'strength', 'in', 'spicules', 'at', 'the', 'height', 'of', 'about', '6000', 'km', 'above', 'the', 'photosphere', 'is', 'estimated', 'as', '1215', 'g']] | [-0.12948518311722004, 0.22688369014235976, -0.017854348229209206, 0.14236531563398996, -0.0696630966176027, -0.05273881978384635, -0.0010827587633364419, 0.4148234567435095, -0.24193312850932344, -0.3270734217861351, 0.07736686387160828, -0.24651565302676615, -0.08840958363121762, 0.2893056481543624, 0.013191788346043922, 0.003554543407059878, 0.07217502790948364, 0.019628910394678324, -0.005658722881289234, -0.1115868131149818, 0.23250585026254164, 0.1093771438723512, 0.20629874178729718, -0.014003797363981886, 0.05483055946264495, -0.1353895060451549, -0.030784222631240792, 0.012208133965215218, -0.11204232959142292, -0.007769264875319581, 0.22454170857368727, 0.09453502789567336, 0.2167307277526355, -0.43623773946350664, -0.2619697942205195, -0.01089355736713177, 0.19692778100300604, 0.015512886222850226, 0.03834703858317983, -0.29713661720941087, 0.04408227997127651, -0.054200706016872685, -0.16099520550115304, 0.09059599968575456, 0.07008672507154702, 0.03617223742587855, -0.2448146157072851, 0.08255334620041123, 0.009772764612574997, 0.19114889397649035, -0.08727405797660866, -0.09331792299547848, -0.08473413997862793, 0.1010652908223605, 0.09185903047287614, 0.03599692119648622, 0.14807257269151836, -0.046171624117542595, -0.056914408825947053, 0.3457037095447604, -0.1363293821894148, 0.004783468836414739, 0.15090438270789086, -0.24869394984752316, -0.0703816639410285, 0.25226218300818837, 0.16367928524437192, 0.06063608202641045, -0.052743542585053343, -0.014137707780255884, -0.06074735343739253, 0.16305264671415137, 0.15911186411508224, 0.0023487444041566277, 0.2908910929266387, 0.08998634035218765, 0.024627194829203142, 0.07676498435361534, -0.28984744110768484, 0.031796147613039345, -0.30403203632003106, -0.10599714187237452, -0.09329252358695855, 0.047050983930660456, -0.058346553207572795, -0.17784444336726699, 0.4178106168390445, 0.1528243546918878, 0.20138552428498488, -0.009229328575596775, 0.2657335308371639, 0.15601361522562882, 0.10114750771566569, 0.1277086582681334, 0.30831870781082027, 0.23165920533462422, 0.22869891200718725, -0.24091413669154904, 0.04047442134616182, 0.0681102613892125] |
708.2058 | Electrified BPS Giants: BPS configurations on Giant Gravitons with
Static Electric Field | We consider D3-brane action in the maximally supersymmetric type IIB
plane-wave background. Upon fixing the light-cone gauge, we obtain the
light-cone Hamiltonian which is manifestly supersymmetric. The 1/2 BPS
solutions of this theory (solutions which preserve 16 supercharges) are either
of the form of spherical three branes, the giant gravitons, or zero size point
like branes. We then construct specific classes of 1/4 BPS solutions of this
theory in which static electric field on the brane is turned on. These
solutions are deformations about either of the two 1/2 BPS solutions. In
particular, we study in some detail 1/4 BPS configurations with electric dipole
on the three sphere giant, i.e. BIons on the giant gravitons, which we hence
call BIGGons. We also study BPS configurations corresponding to turning on a
background uniform constant electric field. As a result of this background
electric field the three sphere giant is deformed to squashed sphere, while the
zero size point like branes turn into circular or straight fundamental strings
in the plane-wave background, with their tension equal to the background
electric field.
| hep-th | we consider d3brane action in the maximally supersymmetric type iib planewave background upon fixing the lightcone gauge we obtain the lightcone hamiltonian which is manifestly supersymmetric the 12 bps solutions of this theory solutions which preserve 16 supercharges are either of the form of spherical three branes the giant gravitons or zero size point like branes we then construct specific classes of 14 bps solutions of this theory in which static electric field on the brane is turned on these solutions are deformations about either of the two 12 bps solutions in particular we study in some detail 14 bps configurations with electric dipole on the three sphere giant ie bions on the giant gravitons which we hence call biggons we also study bps configurations corresponding to turning on a background uniform constant electric field as a result of this background electric field the three sphere giant is deformed to squashed sphere while the zero size point like branes turn into circular or straight fundamental strings in the planewave background with their tension equal to the background electric field | [['we', 'consider', 'd3brane', 'action', 'in', 'the', 'maximally', 'supersymmetric', 'type', 'iib', 'planewave', 'background', 'upon', 'fixing', 'the', 'lightcone', 'gauge', 'we', 'obtain', 'the', 'lightcone', 'hamiltonian', 'which', 'is', 'manifestly', 'supersymmetric', 'the', '12', 'bps', 'solutions', 'of', 'this', 'theory', 'solutions', 'which', 'preserve', '16', 'supercharges', 'are', 'either', 'of', 'the', 'form', 'of', 'spherical', 'three', 'branes', 'the', 'giant', 'gravitons', 'or', 'zero', 'size', 'point', 'like', 'branes', 'we', 'then', 'construct', 'specific', 'classes', 'of', '14', 'bps', 'solutions', 'of', 'this', 'theory', 'in', 'which', 'static', 'electric', 'field', 'on', 'the', 'brane', 'is', 'turned', 'on', 'these', 'solutions', 'are', 'deformations', 'about', 'either', 'of', 'the', 'two', '12', 'bps', 'solutions', 'in', 'particular', 'we', 'study', 'in', 'some', 'detail', '14', 'bps', 'configurations', 'with', 'electric', 'dipole', 'on', 'the', 'three', 'sphere', 'giant', 'ie', 'bions', 'on', 'the', 'giant', 'gravitons', 'which', 'we', 'hence', 'call', 'biggons', 'we', 'also', 'study', 'bps', 'configurations', 'corresponding', 'to', 'turning', 'on', 'a', 'background', 'uniform', 'constant', 'electric', 'field', 'as', 'a', 'result', 'of', 'this', 'background', 'electric', 'field', 'the', 'three', 'sphere', 'giant', 'is', 'deformed', 'to', 'squashed', 'sphere', 'while', 'the', 'zero', 'size', 'point', 'like', 'branes', 'turn', 'into', 'circular', 'or', 'straight', 'fundamental', 'strings', 'in', 'the', 'planewave', 'background', 'with', 'their', 'tension', 'equal', 'to', 'the', 'background', 'electric', 'field']] | [-0.15994147761735353, 0.16340067683067697, -0.04068415098970107, 0.08976229848968012, -0.07757970802433621, -0.12222392331766949, 0.011176439609085575, 0.3255142365749716, -0.12272493600363979, -0.2797687727685892, 0.10522177246179473, -0.3026139199343939, -0.10337602984411327, 0.08991133234610132, -0.040777380706080536, -0.00015954788462939056, -0.019004643964057977, 0.09133442265591113, -0.08637257517325912, -0.2544885746090872, 0.35625459743778776, -0.03587972788987786, 0.29562095054582266, -0.0023781218686339894, 0.06267304252833128, -0.014270861881649059, 0.026996442896387217, 0.04762057283516513, -0.13351935395176145, 0.09745995701046065, 0.13729896603853264, 0.05692492110727962, 0.09585233248006343, -0.4896451316334391, -0.15975221324963182, 0.10567200247831433, 0.20121491729972488, 0.16680009959375464, 0.004701469406662388, -0.2711098061251883, 0.0743621897875865, -0.13192626607886862, -0.20675654587233858, -0.06007993703752526, 0.02518366343666161, -0.015073887283424585, -0.20585515433032944, 0.021331653722105392, 0.03484608525190544, 0.01937298466231716, -0.09603591459107408, -0.10971826072743036, -0.06694739721872414, 0.05937282052518946, 0.14428337513053205, 0.07503149050204189, 0.1720053618878461, -0.18102311653351894, -0.1168684638288458, 0.32408503978251574, -0.0689475476817657, -0.2723201937617713, 0.1269016804675875, -0.16728172465646116, -0.14174313006760406, 0.12968859470349978, 0.13341664428642186, 0.19829186829319748, -0.13691591162213615, 0.1823411600800294, -0.024157763189332705, 0.14493261577510486, 0.16942071794856634, 0.035320068050301474, 0.33344893150680355, 0.0685410442346121, 0.06663060131786244, 0.16672133386993174, -0.09712664991240488, -0.1367534426831656, -0.3863722736204273, -0.0942680024243682, -0.09165392644190637, 0.15997230778500604, -0.1478657391068808, -0.25068738906424537, 0.3833827690543146, 0.06028495958015084, 0.15109496730447777, 0.008867468418072113, 0.21741292958691968, 0.08676432322101207, 0.05643516661745779, 0.06678255309685646, 0.289648529674022, 0.12879449575930163, 0.08536663392940967, -0.22901049190726697, -0.19698133855650013, 0.14184307122571665] |
708.2059 | Dynamics of the molecular orientation field coupled to ions in
two-dimensional ferroelectric liquid crystals | Molecular orientation fluctuations in ferroelectric smectic liquid crystals
produce space charges, due to the divergence of the spontaneous polarization.
These space charges interact with mobile ions, so that one must consider the
coupled dynamics of the orientation and ionic degrees of freedom. Previous
theory and light scattering experiments on thin free-standing films of
ferroelectric liquid crystals have not included this coupling, possibly
invalidating their quantitative conclusions. We consider the most important
case of very slow ionic dynamics, compared to rapid orientational fluctuations,
and focus on the use of a short electric field pulse to quench orientational
fluctuations. We find that the resulting change in scattered light intensity
must include a term due to the quasistatic ionic configuration, which has
previously been ignored. In addition to developing the general theory, we
present a simple model to demonstrate the role of this added term.
| cond-mat.soft cond-mat.stat-mech | molecular orientation fluctuations in ferroelectric smectic liquid crystals produce space charges due to the divergence of the spontaneous polarization these space charges interact with mobile ions so that one must consider the coupled dynamics of the orientation and ionic degrees of freedom previous theory and light scattering experiments on thin freestanding films of ferroelectric liquid crystals have not included this coupling possibly invalidating their quantitative conclusions we consider the most important case of very slow ionic dynamics compared to rapid orientational fluctuations and focus on the use of a short electric field pulse to quench orientational fluctuations we find that the resulting change in scattered light intensity must include a term due to the quasistatic ionic configuration which has previously been ignored in addition to developing the general theory we present a simple model to demonstrate the role of this added term | [['molecular', 'orientation', 'fluctuations', 'in', 'ferroelectric', 'smectic', 'liquid', 'crystals', 'produce', 'space', 'charges', 'due', 'to', 'the', 'divergence', 'of', 'the', 'spontaneous', 'polarization', 'these', 'space', 'charges', 'interact', 'with', 'mobile', 'ions', 'so', 'that', 'one', 'must', 'consider', 'the', 'coupled', 'dynamics', 'of', 'the', 'orientation', 'and', 'ionic', 'degrees', 'of', 'freedom', 'previous', 'theory', 'and', 'light', 'scattering', 'experiments', 'on', 'thin', 'freestanding', 'films', 'of', 'ferroelectric', 'liquid', 'crystals', 'have', 'not', 'included', 'this', 'coupling', 'possibly', 'invalidating', 'their', 'quantitative', 'conclusions', 'we', 'consider', 'the', 'most', 'important', 'case', 'of', 'very', 'slow', 'ionic', 'dynamics', 'compared', 'to', 'rapid', 'orientational', 'fluctuations', 'and', 'focus', 'on', 'the', 'use', 'of', 'a', 'short', 'electric', 'field', 'pulse', 'to', 'quench', 'orientational', 'fluctuations', 'we', 'find', 'that', 'the', 'resulting', 'change', 'in', 'scattered', 'light', 'intensity', 'must', 'include', 'a', 'term', 'due', 'to', 'the', 'quasistatic', 'ionic', 'configuration', 'which', 'has', 'previously', 'been', 'ignored', 'in', 'addition', 'to', 'developing', 'the', 'general', 'theory', 'we', 'present', 'a', 'simple', 'model', 'to', 'demonstrate', 'the', 'role', 'of', 'this', 'added', 'term']] | [-0.14897664490772386, 0.20613476472683775, -0.05704384783125469, 0.01865580221998807, -0.04511372464328584, -0.12437486738084592, 0.014439868845675193, 0.41006055919098516, -0.25191062698747413, -0.2749343789510534, 0.0365764333015557, -0.2777352100156221, -0.11518598123597847, 0.10610912792863403, -0.018843296616056174, -0.005641926905553473, -0.02149337861345897, -0.0350656018159549, -0.042781595708835135, -0.2060345146800129, 0.24539866430921034, 0.039532992618263395, 0.2940801304115743, 0.08552490291513608, 0.08537949085838988, 0.008611158972842172, 0.03466526560098405, 0.03694104338942004, -0.13758919524362156, 0.09527293417576543, 0.2123112662983927, -0.05613189182263917, 0.2114490616843629, -0.5303110743899055, -0.2637680549581181, 0.06635413262796339, 0.13893259681464487, 0.17786120638025033, -0.06493617069061426, -0.24189739499050913, -0.010756090975327181, -0.140892706089981, -0.1728710060263656, -0.11013617158480461, 0.017850668603246113, 0.04151944270477184, -0.22333485188666063, 0.06927624231525763, 0.061980456235149584, 0.06973158298257057, -0.06743553929640846, -0.09246553675333878, -0.042281639371985494, 0.08648444669449072, 0.11684340186594186, 0.07110312524658273, 0.2059367809339728, -0.1351481861595563, -0.07869681370162576, 0.3835331194338874, -0.0604732528673325, -0.19432205483022238, 0.1775591953995336, -0.18752694643810916, -0.1060110641492557, 0.18871759814800512, 0.17413839791134053, 0.13188209079704444, -0.1240262771713954, 0.049070836055095796, 0.006782463876346887, 0.22691410449071145, 0.05875300239397764, 0.0857998005915466, 0.26209359421906336, 0.1577117524132736, -0.0024415330590785178, 0.16169174687451565, -0.10112647945389257, -0.12021287269627964, -0.2537611854905394, -0.12753186525176868, -0.1471014021023531, 0.043644861418292304, -0.0684755430635742, -0.19472571683090023, 0.3762782159602453, 0.17262491979718234, 0.12508840406884136, -0.028229713416986272, 0.25160473613986667, 0.05338876335356962, 0.06974373428433031, 0.0011025766865022375, 0.30983093975793935, 0.14735066404067715, 0.13559892169426566, -0.28279784303748795, 0.08699265712360577, 0.010178383213507248] |
708.206 | Warped Deformed Throats have Faster (Electroweak) Phase Transitions | We study the dynamics of the finite-temperature phase transition for warped
Randall-Sundrum(RS)-like throat models related to the Klebanov-Tseytlin
solution. We find that, for infrared branes stabilized near the tip of the
throat, the bounce action has a mild N^2 dependence, where N(y) \sim [M_5
L(y)]^{3/2} is the effective number of degrees of freedom of the holographic
dual QFT, and where L(y) is the local curvature radius, which decreases in the
infrared. In addition, the bounce action is not enhanced by large numbers.
These features allow the transition to successfully complete over a wider
parameter range than for Goldberger-Wise stabilized RS models. Due to the
increase of L(y) in the ultraviolet, the throat has a reliable gravitational
description even when the number of infrared degrees of freedom is small. We
also comment on aspects of the thermal phase transition in Higgsless models,
where the gauge symmetry breaking is achieved via boundary conditions. Such
models include orbifold-GUT models and the Higgsless electroweak symmetry
breaking theories of Csaki et al., with Standard Model gauge fields living in
the bulk.
| hep-th | we study the dynamics of the finitetemperature phase transition for warped randallsundrumrslike throat models related to the klebanovtseytlin solution we find that for infrared branes stabilized near the tip of the throat the bounce action has a mild n2 dependence where ny sim m_5 ly32 is the effective number of degrees of freedom of the holographic dual qft and where ly is the local curvature radius which decreases in the infrared in addition the bounce action is not enhanced by large numbers these features allow the transition to successfully complete over a wider parameter range than for goldbergerwise stabilized rs models due to the increase of ly in the ultraviolet the throat has a reliable gravitational description even when the number of infrared degrees of freedom is small we also comment on aspects of the thermal phase transition in higgsless models where the gauge symmetry breaking is achieved via boundary conditions such models include orbifoldgut models and the higgsless electroweak symmetry breaking theories of csaki et al with standard model gauge fields living in the bulk | [['we', 'study', 'the', 'dynamics', 'of', 'the', 'finitetemperature', 'phase', 'transition', 'for', 'warped', 'randallsundrumrslike', 'throat', 'models', 'related', 'to', 'the', 'klebanovtseytlin', 'solution', 'we', 'find', 'that', 'for', 'infrared', 'branes', 'stabilized', 'near', 'the', 'tip', 'of', 'the', 'throat', 'the', 'bounce', 'action', 'has', 'a', 'mild', 'n2', 'dependence', 'where', 'ny', 'sim', 'm_5', 'ly32', 'is', 'the', 'effective', 'number', 'of', 'degrees', 'of', 'freedom', 'of', 'the', 'holographic', 'dual', 'qft', 'and', 'where', 'ly', 'is', 'the', 'local', 'curvature', 'radius', 'which', 'decreases', 'in', 'the', 'infrared', 'in', 'addition', 'the', 'bounce', 'action', 'is', 'not', 'enhanced', 'by', 'large', 'numbers', 'these', 'features', 'allow', 'the', 'transition', 'to', 'successfully', 'complete', 'over', 'a', 'wider', 'parameter', 'range', 'than', 'for', 'goldbergerwise', 'stabilized', 'rs', 'models', 'due', 'to', 'the', 'increase', 'of', 'ly', 'in', 'the', 'ultraviolet', 'the', 'throat', 'has', 'a', 'reliable', 'gravitational', 'description', 'even', 'when', 'the', 'number', 'of', 'infrared', 'degrees', 'of', 'freedom', 'is', 'small', 'we', 'also', 'comment', 'on', 'aspects', 'of', 'the', 'thermal', 'phase', 'transition', 'in', 'higgsless', 'models', 'where', 'the', 'gauge', 'symmetry', 'breaking', 'is', 'achieved', 'via', 'boundary', 'conditions', 'such', 'models', 'include', 'orbifoldgut', 'models', 'and', 'the', 'higgsless', 'electroweak', 'symmetry', 'breaking', 'theories', 'of', 'csaki', 'et', 'al', 'with', 'standard', 'model', 'gauge', 'fields', 'living', 'in', 'the', 'bulk']] | [-0.13872617339874171, 0.19336074234842393, -0.06599345819141737, 0.047995780121583516, -0.07952520274018836, -0.14768645091714455, 0.004330251796569438, 0.31206424637681485, -0.18568727028195484, -0.28729077204092907, 0.09724289622101287, -0.26662956921631376, -0.13150073920721134, 0.09913028753766348, -0.03330439488764185, -0.001936817635927414, -0.043316493147305846, 0.032292808945737564, -0.07894165322959767, -0.23676865733217858, 0.3138056070277349, 0.06063294303845722, 0.2565909201182382, 0.07146414941058338, 0.06775225309999605, -0.02491239234374438, 0.04998573114034973, 0.00902092622356177, -0.16019561309846034, 0.040025759372770024, 0.17289519446131565, 0.05277457240850508, 0.17623766770416796, -0.4047834032963466, -0.2655376710719025, 0.1073331240459609, 0.13929110001153555, 0.14316999608841913, -0.01921055351001765, -0.2808360213338467, 0.061068927955334584, -0.1590588268947739, -0.17090708953987893, -0.05258882889386826, 0.01769577764846772, -0.07690931192055517, -0.28648973515558707, 0.08772528295794157, -0.0027862325952673667, 0.06925194572948049, -0.0436168154459339, -0.06368186202094045, -0.09940084294184526, 0.04187299918354424, 0.11531628697714903, 0.049009875676357804, 0.1364944374681359, -0.21659055900237809, -0.07016332457757238, 0.3878486005110246, -0.09241187889736234, -0.14217726628005375, 0.1815576015519398, -0.15064886120831691, -0.1202172965263528, 0.15247824770597623, 0.11948009206229723, 0.1725018869956277, -0.08386317284609866, 0.18632895413266679, 0.0012749530296944987, 0.16622354910790388, 0.06797055682608846, 0.08401118711746067, 0.2568536460765697, 0.14835098788419449, 0.02411936893736179, 0.11101751445894899, -0.08642408376521932, -0.13265099958281135, -0.3712822805583407, -0.11674800222858012, -0.13355655099111852, 0.05193481448443265, -0.15810399384603221, -0.14702418176295784, 0.38294412118162036, 0.1461334596643752, 0.20663302143796136, 0.014707003645410471, 0.22124434826623735, 0.08948422375746136, 0.09973722534803296, 0.05334353181829601, 0.3057944180573084, 0.09863439374038077, 0.07805803682953873, -0.2583736200720029, -0.06159759753631331, 0.11191169042786249] |
708.2061 | Selective vulnerability to kainate-induced oxidative damage in different
rat brain regions | Some markers of oxidative injury were measured in different rat brain areas
(hippocampus, cerebral cortex, striatum, hypothalamus, amygdala/piriform cortex
and cerebellum) after the systemic administration of an excitotoxic dose of
kainic acid (KA, 9 mg kg(-1) i.p.) at two different sampling times (24 and 48
h). Kainic acid was able to lower markedly (P < 0.05) the glutathione (GSH)
levels in hippocampus, cerebellum and amygdala/piriform cortex (maximal
reduction at 24 h). In a similar way, lipid peroxidation, as assessed by
malonaldehyde and 4-hydroxyalkenal levels, significantly increased (P < 0.05)
in hippocampus, cerebellum and amygdala/piriform cortex mainly at 24 h after
KA. In addition, hippocampal superoxide dismutase (SOD) activity decreased
significantly (P < 0.05) with respect to basal levels by 24 h after KA
application. On the other hand, brain areas such as hypothalamus, striatum and
cerebral cortex seem to be less susceptible to KA excitotoxicity. According to
these findings, the pattern of oxidative injury induced by systemically
administered KA seems to be highly region-specific. Further, our results have
shown that a lower antioxidant status (GSH and SOD) seems not to play an
important role in the selective vulnerability of certain brain regions because
it correlates poorly with increases in markers of oxidative damage.
| q-bio.TO | some markers of oxidative injury were measured in different rat brain areas hippocampus cerebral cortex striatum hypothalamus amygdalapiriform cortex and cerebellum after the systemic administration of an excitotoxic dose of kainic acid ka 9 mg kg1 ip at two different sampling times 24 and 48 h kainic acid was able to lower markedly p 005 the glutathione gsh levels in hippocampus cerebellum and amygdalapiriform cortex maximal reduction at 24 h in a similar way lipid peroxidation as assessed by malonaldehyde and 4hydroxyalkenal levels significantly increased p 005 in hippocampus cerebellum and amygdalapiriform cortex mainly at 24 h after ka in addition hippocampal superoxide dismutase sod activity decreased significantly p 005 with respect to basal levels by 24 h after ka application on the other hand brain areas such as hypothalamus striatum and cerebral cortex seem to be less susceptible to ka excitotoxicity according to these findings the pattern of oxidative injury induced by systemically administered ka seems to be highly regionspecific further our results have shown that a lower antioxidant status gsh and sod seems not to play an important role in the selective vulnerability of certain brain regions because it correlates poorly with increases in markers of oxidative damage | [['some', 'markers', 'of', 'oxidative', 'injury', 'were', 'measured', 'in', 'different', 'rat', 'brain', 'areas', 'hippocampus', 'cerebral', 'cortex', 'striatum', 'hypothalamus', 'amygdalapiriform', 'cortex', 'and', 'cerebellum', 'after', 'the', 'systemic', 'administration', 'of', 'an', 'excitotoxic', 'dose', 'of', 'kainic', 'acid', 'ka', '9', 'mg', 'kg1', 'ip', 'at', 'two', 'different', 'sampling', 'times', '24', 'and', '48', 'h', 'kainic', 'acid', 'was', 'able', 'to', 'lower', 'markedly', 'p', '005', 'the', 'glutathione', 'gsh', 'levels', 'in', 'hippocampus', 'cerebellum', 'and', 'amygdalapiriform', 'cortex', 'maximal', 'reduction', 'at', '24', 'h', 'in', 'a', 'similar', 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708.2062 | Steady-state hydrodynamic instabilities of active liquid crystals:
Hybrid lattice Boltzmann simulations | We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of
an active nematic liquid crystal sandwiched between confining walls with
various anchoring conditions. We confirm the existence of a transition between
a passive phase and an active phase, in which there is spontaneous flow in the
steady state. This transition is attained for sufficiently ``extensile'' rods,
in the case of flow-aligning liquid crystals, and for sufficiently
``contractile'' ones for flow-tumbling materials. In a quasi-1D geometry, deep
in the active phase of flow-aligning materials, our simulations give evidence
of hysteresis and history-dependent steady states, as well as of spontaneous
banded flow. Flow-tumbling materials, in contrast, re-arrange themselves so
that only the two boundary layers flow in steady state. Two-dimensional
simulations, with periodic boundary conditions, show additional instabilities,
with the spontaneous flow appearing as patterns made up of ``convection
rolls''. These results demonstrate a remarkable richness (including dependence
on anchoring conditions) in the steady-state phase behaviour of active
materials, even in the absence of external forcing; they have no counterpart
for passive nematics. Our HLB methodology, which combines lattice Boltzmann for
momentum transport with a finite difference scheme for the order parameter
dynamics, offers a robust and efficient method for probing the complex
hydrodynamic behaviour of active nematics.
| cond-mat.soft | we report hybrid lattice boltzmann hlb simulations of the hydrodynamics of an active nematic liquid crystal sandwiched between confining walls with various anchoring conditions we confirm the existence of a transition between a passive phase and an active phase in which there is spontaneous flow in the steady state this transition is attained for sufficiently extensile rods in the case of flowaligning liquid crystals and for sufficiently contractile ones for flowtumbling materials in a quasi1d geometry deep in the active phase of flowaligning materials our simulations give evidence of hysteresis and historydependent steady states as well as of spontaneous banded flow flowtumbling materials in contrast rearrange themselves so that only the two boundary layers flow in steady state twodimensional simulations with periodic boundary conditions show additional instabilities with the spontaneous flow appearing as patterns made up of convection rolls these results demonstrate a remarkable richness including dependence on anchoring conditions in the steadystate phase behaviour of active materials even in the absence of external forcing they have no counterpart for passive nematics our hlb methodology which combines lattice boltzmann for momentum transport with a finite difference scheme for the order parameter dynamics offers a robust and efficient method for probing the complex hydrodynamic behaviour of active nematics | [['we', 'report', 'hybrid', 'lattice', 'boltzmann', 'hlb', 'simulations', 'of', 'the', 'hydrodynamics', 'of', 'an', 'active', 'nematic', 'liquid', 'crystal', 'sandwiched', 'between', 'confining', 'walls', 'with', 'various', 'anchoring', 'conditions', 'we', 'confirm', 'the', 'existence', 'of', 'a', 'transition', 'between', 'a', 'passive', 'phase', 'and', 'an', 'active', 'phase', 'in', 'which', 'there', 'is', 'spontaneous', 'flow', 'in', 'the', 'steady', 'state', 'this', 'transition', 'is', 'attained', 'for', 'sufficiently', 'extensile', 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708.2063 | Pulsar Radio Emission Cutoffs | The propagation of radio emission in pulsar magnetospheres is discussed. We
follow a kinematics model in order to derive dispersion relations for
electromagnetic oscillations and transversal waves, propagating in a cold
moving plasma. We have included relativistic corrections on the dispersion
properties, involved with the relativistic motion of the emitting plasma. The
occurrence of plasma instabilities is analyzed beside the conditions which
should be fulfilled in order to permit the wave propagation and conversion in
regions close to the cutoffs of the system. The existence of various
frequencies of resonance has been predicted and we are working out these
results in order to explain the low-frequency cutoffs observed in radio pulsar
spectra.
| astro-ph | the propagation of radio emission in pulsar magnetospheres is discussed we follow a kinematics model in order to derive dispersion relations for electromagnetic oscillations and transversal waves propagating in a cold moving plasma we have included relativistic corrections on the dispersion properties involved with the relativistic motion of the emitting plasma the occurrence of plasma instabilities is analyzed beside the conditions which should be fulfilled in order to permit the wave propagation and conversion in regions close to the cutoffs of the system the existence of various frequencies of resonance has been predicted and we are working out these results in order to explain the lowfrequency cutoffs observed in radio pulsar spectra | [['the', 'propagation', 'of', 'radio', 'emission', 'in', 'pulsar', 'magnetospheres', 'is', 'discussed', 'we', 'follow', 'a', 'kinematics', 'model', 'in', 'order', 'to', 'derive', 'dispersion', 'relations', 'for', 'electromagnetic', 'oscillations', 'and', 'transversal', 'waves', 'propagating', 'in', 'a', 'cold', 'moving', 'plasma', 'we', 'have', 'included', 'relativistic', 'corrections', 'on', 'the', 'dispersion', 'properties', 'involved', 'with', 'the', 'relativistic', 'motion', 'of', 'the', 'emitting', 'plasma', 'the', 'occurrence', 'of', 'plasma', 'instabilities', 'is', 'analyzed', 'beside', 'the', 'conditions', 'which', 'should', 'be', 'fulfilled', 'in', 'order', 'to', 'permit', 'the', 'wave', 'propagation', 'and', 'conversion', 'in', 'regions', 'close', 'to', 'the', 'cutoffs', 'of', 'the', 'system', 'the', 'existence', 'of', 'various', 'frequencies', 'of', 'resonance', 'has', 'been', 'predicted', 'and', 'we', 'are', 'working', 'out', 'these', 'results', 'in', 'order', 'to', 'explain', 'the', 'lowfrequency', 'cutoffs', 'observed', 'in', 'radio', 'pulsar', 'spectra']] | [-0.16247573132984275, 0.1798844684422615, -0.07946377634237121, 0.11357530749644086, -0.09978600486439453, -0.04030842165229842, -0.015312491067171712, 0.4187294343719259, -0.1934814130862443, -0.2935098432769467, 0.05415693736098807, -0.2744671284350001, -0.04491572545209367, 0.20475224020525015, 0.039721258345317825, 0.044689184063047706, 0.007354373927228153, -0.007421771889702151, -0.03071152275827314, -0.11870941594341795, 0.2828263923043518, 0.10046790700497306, 0.23161612695548683, 0.03180513861090211, 0.04785508343151638, -0.07068180345855321, -0.01277651616172599, 0.016888051077590456, -0.11636484790428117, 0.04760749227924472, 0.20682204035983887, 0.06040499174144186, 0.18805246840098075, -0.4535214236072664, -0.2670506185469484, 0.028065632454984422, 0.17779722162647107, 0.09046817167109111, -0.0351931421329417, -0.2725956618960481, 0.027313266410991282, -0.16388468377824342, -0.20709114652293334, -0.0030945349942287847, 0.013925598238399419, 0.06813378435825664, -0.23380238828914507, 0.09112405882582866, 0.0418483583118489, 0.008047416847797908, -0.09546652754319698, -0.04826372786919819, -0.0016072973635995627, 0.0942242936081519, 0.0891247562612989, -0.025259766282813092, 0.11960640085661518, -0.12410269064795491, -0.08303517506906896, 0.4425542923023126, -0.05756079697519973, -0.15005806383643566, 0.21416538965630544, -0.27158021681316313, -0.12219364127460201, 0.17885181063320488, 0.20492137052185302, 0.055886415637879897, -0.14565949048015422, 0.011541714674032326, 0.004596186069128245, 0.1209244934580056, 0.12157933519587719, 0.0817951199174526, 0.27456569405538694, 0.12755112157174153, -0.042215675795367655, 0.12641611237216108, -0.1677372205033732, -0.029349253147042224, -0.3170219745620021, -0.07805965139206299, -0.10015612900523203, 0.016663835417602968, -0.027209398894358725, -0.13924959390091576, 0.4164795312016005, 0.17677265028968187, 0.12652217671607754, -0.02909713372952995, 0.26313644899554284, 0.19106575993022748, 0.0515822882381534, 0.13154593724591127, 0.3672669343234572, 0.20958948113755987, 0.11113998354578923, -0.26989675658322604, 0.017233614194472984, 0.013756909172765777] |
708.2064 | An evolved disk surrounding the massive main sequence star MWC 297? | We present the results of the interferometric observations of the
circumstellar disk surrounding MWC 297 in the continuum at 230 GHz (1.3 mm) and
in the (J=2-1) rotational transitions of $^{12}$CO,$^{13}$CO and C$^{18}$O
using the Submillimeter Array. At a distance of 250 pc, MWC 297 is one of the
closest, young massive stars (M$_{\star}$ $\sim$10 M$_{\odot}$) to us. Compact
continuum emission is detected towards MWC 297 from which we estimate a disk
mass (gas+dust) of 0.07 M$_{\odot}$ and a disk radius of $\le$ 80 AU. Our
result demonstrates that circumstellar disks can survive around massive stars
well into their main sequence phase even after they have become optically
visible. Complementing our observations with the data compiled from the
literature, we find the submm dust opacity index $\beta$ to be between 0.1 and
0.3. If the emission is optically thin, the low value of $\beta$ indicates the
presence of relatively large grains in the disk, possibly because of grain
growth. We do not detect any CO emission associated with the continuum source.
We argue that the $^{13}$CO emission from the disk is likely optically thin, in
which case, we derive an upper limit to the gas mass which implies significant
depletion of molecular gas in the disk. The mass of this disk and the
evolutionary trends observed are similar to those found for intermediate mass
Herbig Ae stars and low mass T Tauri stars.
| astro-ph | we present the results of the interferometric observations of the circumstellar disk surrounding mwc 297 in the continuum at 230 ghz 13 mm and in the j21 rotational transitions of 12co13co and c18o using the submillimeter array at a distance of 250 pc mwc 297 is one of the closest young massive stars m_star sim10 m_odot to us compact continuum emission is detected towards mwc 297 from which we estimate a disk mass gasdust of 007 m_odot and a disk radius of le 80 au our result demonstrates that circumstellar disks can survive around massive stars well into their main sequence phase even after they have become optically visible complementing our observations with the data compiled from the literature we find the submm dust opacity index beta to be between 01 and 03 if the emission is optically thin the low value of beta indicates the presence of relatively large grains in the disk possibly because of grain growth we do not detect any co emission associated with the continuum source we argue that the 13co emission from the disk is likely optically thin in which case we derive an upper limit to the gas mass which implies significant depletion of molecular gas in the disk the mass of this disk and the evolutionary trends observed are similar to those found for intermediate mass herbig ae stars and low mass t tauri stars | [['we', 'present', 'the', 'results', 'of', 'the', 'interferometric', 'observations', 'of', 'the', 'circumstellar', 'disk', 'surrounding', 'mwc', '297', 'in', 'the', 'continuum', 'at', '230', 'ghz', '13', 'mm', 'and', 'in', 'the', 'j21', 'rotational', 'transitions', 'of', '12co13co', 'and', 'c18o', 'using', 'the', 'submillimeter', 'array', 'at', 'a', 'distance', 'of', '250', 'pc', 'mwc', '297', 'is', 'one', 'of', 'the', 'closest', 'young', 'massive', 'stars', 'm_star', 'sim10', 'm_odot', 'to', 'us', 'compact', 'continuum', 'emission', 'is', 'detected', 'towards', 'mwc', '297', 'from', 'which', 'we', 'estimate', 'a', 'disk', 'mass', 'gasdust', 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708.2065 | The spectroscopic binary system Gl 375. I. Orbital parameters and
chromospheric activity | We study the spectroscopic binary system Gl 375. We employ medium resolution
echelle spectra obtained at the 2.15 m telescope at the Argentinian observatory
CASLEO and photometric observations obtained from the ASAS database. We
separate the composite spectra into those corresponding to both components. The
separated spectra allow us to confirm that the spectral types of both
components are similar (dMe3.5) and to obtain precise measurements of the
orbital period (P = 1.87844 days), minimum masses (M_1 sin^3 i = 0.35 M_sun and
M_2 sin^3 i =0.33 M_sun) and other orbital parameters. The photometric
observations exhibit a sinusoidal variation with the same period as the orbital
period. We interpret this as signs of active regions carried along with
rotation in a tidally synchronized system, and study the evolution of the
amplitude of the modulation in longer timescales. Together with the mean
magnitude, the modulation exhibits a roughly cyclic variation with a period of
around 800 days. This periodicity is also found in the flux of the Ca II K
lines of both components, which seem to be in phase. The periodic changes in
the three observables are interpreted as a sign of a stellar activity cycle.
Both components appear to be in phase, which implies that they are magnetically
connected. The measured cycle of approximately 2.2 years (800 days) is
consistent with previous determinations of activity cycles in similar stars.
| astro-ph | we study the spectroscopic binary system gl 375 we employ medium resolution echelle spectra obtained at the 215 m telescope at the argentinian observatory casleo and photometric observations obtained from the asas database we separate the composite spectra into those corresponding to both components the separated spectra allow us to confirm that the spectral types of both components are similar dme35 and to obtain precise measurements of the orbital period p 187844 days minimum masses m_1 sin3 i 035 m_sun and m_2 sin3 i 033 m_sun and other orbital parameters the photometric observations exhibit a sinusoidal variation with the same period as the orbital period we interpret this as signs of active regions carried along with rotation in a tidally synchronized system and study the evolution of the amplitude of the modulation in longer timescales together with the mean magnitude the modulation exhibits a roughly cyclic variation with a period of around 800 days this periodicity is also found in the flux of the ca ii k lines of both components which seem to be in phase the periodic changes in the three observables are interpreted as a sign of a stellar activity cycle both components appear to be in phase which implies that they are magnetically connected the measured cycle of approximately 22 years 800 days is consistent with previous determinations of activity cycles in similar stars | [['we', 'study', 'the', 'spectroscopic', 'binary', 'system', 'gl', '375', 'we', 'employ', 'medium', 'resolution', 'echelle', 'spectra', 'obtained', 'at', 'the', '215', 'm', 'telescope', 'at', 'the', 'argentinian', 'observatory', 'casleo', 'and', 'photometric', 'observations', 'obtained', 'from', 'the', 'asas', 'database', 'we', 'separate', 'the', 'composite', 'spectra', 'into', 'those', 'corresponding', 'to', 'both', 'components', 'the', 'separated', 'spectra', 'allow', 'us', 'to', 'confirm', 'that', 'the', 'spectral', 'types', 'of', 'both', 'components', 'are', 'similar', 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708.2066 | Advances in mass-loss predictions | We present the results of Monte Carlo mass-loss predictions for massive stars
covering a wide range of stellar parameters. We critically test our predictions
against a range of observed mass-loss rates -- in light of the recent
discussions on wind clumping. We also present a model to compute the
clumping-induced polarimetric variability of hot stars and we compare this with
observations of Luminous Blue Variables, for which polarimetric variability is
larger than for O and Wolf-Rayet stars. Luminous Blue Variables comprise an
ideal testbed for studies of wind clumping and wind geometry, as well as for
wind strength calculations, and we propose they may be direct supernova
progenitors.
| astro-ph | we present the results of monte carlo massloss predictions for massive stars covering a wide range of stellar parameters we critically test our predictions against a range of observed massloss rates in light of the recent discussions on wind clumping we also present a model to compute the clumpinginduced polarimetric variability of hot stars and we compare this with observations of luminous blue variables for which polarimetric variability is larger than for o and wolfrayet stars luminous blue variables comprise an ideal testbed for studies of wind clumping and wind geometry as well as for wind strength calculations and we propose they may be direct supernova progenitors | [['we', 'present', 'the', 'results', 'of', 'monte', 'carlo', 'massloss', 'predictions', 'for', 'massive', 'stars', 'covering', 'a', 'wide', 'range', 'of', 'stellar', 'parameters', 'we', 'critically', 'test', 'our', 'predictions', 'against', 'a', 'range', 'of', 'observed', 'massloss', 'rates', 'in', 'light', 'of', 'the', 'recent', 'discussions', 'on', 'wind', 'clumping', 'we', 'also', 'present', 'a', 'model', 'to', 'compute', 'the', 'clumpinginduced', 'polarimetric', 'variability', 'of', 'hot', 'stars', 'and', 'we', 'compare', 'this', 'with', 'observations', 'of', 'luminous', 'blue', 'variables', 'for', 'which', 'polarimetric', 'variability', 'is', 'larger', 'than', 'for', 'o', 'and', 'wolfrayet', 'stars', 'luminous', 'blue', 'variables', 'comprise', 'an', 'ideal', 'testbed', 'for', 'studies', 'of', 'wind', 'clumping', 'and', 'wind', 'geometry', 'as', 'well', 'as', 'for', 'wind', 'strength', 'calculations', 'and', 'we', 'propose', 'they', 'may', 'be', 'direct', 'supernova', 'progenitors']] | [-0.05386289546951511, 0.11992118619330214, -0.04351698535160636, 0.11090805954387728, -0.12391016094172198, -0.0652155792999591, 0.06429307875311319, 0.452053174271055, -0.11489309525152422, -0.34056370308236134, 0.0637321229617744, -0.2798314851814143, -0.033310017601217864, 0.2677478042956555, -0.07638604457507718, -0.022741207097358298, 0.15203691627127383, -0.12018101182678398, -0.049726441899042156, -0.25615105477495576, 0.2830746458614913, 0.08402496503384889, 0.10808920201335875, -0.033579339361134566, 0.05341648864384108, -0.10477710532393518, -0.05884437571402709, -0.016424410229654244, -0.1733283674265346, 0.04391947628947783, 0.209729937695539, 0.18381288257111214, 0.21048210879330928, -0.37325180917626843, -0.2727487094630048, 0.04329237530781132, 0.20394941332381009, 0.0501039221230455, -0.07165215008580214, -0.21669858964028293, 0.048668561758086926, -0.24530192761998273, -0.16624035774993728, -0.027914802807400812, 0.0425775129192087, 0.0752906045120842, -0.312096190041388, 0.09838282805071256, -0.02857436417527321, 0.12788933088703966, -0.1032056797752684, -0.11419654494362338, -0.05094314748772754, 0.03310071845222616, 0.0752737820016677, 0.01518426646307146, 0.1436414518217855, -0.1667933538709855, -0.03611755670698465, 0.4276042479828422, -0.09226816575296051, -0.018245364442678554, 0.24976496844780896, -0.20353769337899, -0.18381988633213178, 0.08798617107863978, 0.21705496946420028, 0.1875258611871, -0.1331499745928735, -0.07260752561774526, -0.038671010887724754, 0.1825364362448454, -0.03533321026853233, 0.0931646211657213, 0.2859812028583069, 0.17398512370462688, -0.04680977518591186, 0.10646652553410638, -0.23987470052143522, -0.06242839572511895, -0.26096574090561775, -0.11586786535533392, -0.09714517915480823, 0.11122387530115205, -0.19290542670219196, -0.15426943521015346, 0.34475335754665004, 0.1942653287134028, 0.18979154532458983, 0.034307971050883734, 0.32133898604661226, 0.0978268203182796, 0.06543339132594894, 0.1389473837817896, 0.3146907570508291, 0.19722402795165214, 0.09084664210062122, -0.22346956146450467, 0.10315502252109032, -0.002399867303880318] |
708.2067 | On (Enriched) Left Bousfield Localization of Model Categories | I verify the existence of left Bousfield localizations and of enriched left
Bousfield localizations, and I prove a collection of useful technical results
characterizing certain fibrations of (enriched) left Bousfield localizations. I
also use such Bousfield localizations to construct a number of new model
categories, including models for the homotopy limit of right Quillen
presheaves, for Postnikov towers in model categories, and for presheaves valued
in a symmetric monoidal model category satisfying a homotopy-coherent descent
condition.
| math.AT math.CT | i verify the existence of left bousfield localizations and of enriched left bousfield localizations and i prove a collection of useful technical results characterizing certain fibrations of enriched left bousfield localizations i also use such bousfield localizations to construct a number of new model categories including models for the homotopy limit of right quillen presheaves for postnikov towers in model categories and for presheaves valued in a symmetric monoidal model category satisfying a homotopycoherent descent condition | [['i', 'verify', 'the', 'existence', 'of', 'left', 'bousfield', 'localizations', 'and', 'of', 'enriched', 'left', 'bousfield', 'localizations', 'and', 'i', 'prove', 'a', 'collection', 'of', 'useful', 'technical', 'results', 'characterizing', 'certain', 'fibrations', 'of', 'enriched', 'left', 'bousfield', 'localizations', 'i', 'also', 'use', 'such', 'bousfield', 'localizations', 'to', 'construct', 'a', 'number', 'of', 'new', 'model', 'categories', 'including', 'models', 'for', 'the', 'homotopy', 'limit', 'of', 'right', 'quillen', 'presheaves', 'for', 'postnikov', 'towers', 'in', 'model', 'categories', 'and', 'for', 'presheaves', 'valued', 'in', 'a', 'symmetric', 'monoidal', 'model', 'category', 'satisfying', 'a', 'homotopycoherent', 'descent', 'condition']] | [-0.1191340857920678, 0.0149133998753601, -0.0015106836738260953, 0.18785270923552544, -0.0578321401569012, -0.20764028307932772, -0.03993774096383468, 0.4008942486375178, -0.41664927170955035, -0.1404912427043248, 0.0896696842330704, -0.194869846228118, -0.08706595429439883, 0.1160883987291814, -0.22527778168257914, -0.10893193340713256, 0.08640267355612626, 0.09888899192446843, -0.013638119243918672, -0.23030697021443447, 0.41052484729229227, -0.010251686087270317, 0.21970274988899818, 0.0494882909973201, 0.11284331368944167, -0.01401305656365462, -0.013369977854094222, -0.008548074316135362, -0.1504551345577439, 0.14570576914488093, 0.30734826092774664, 0.10208863207126821, 0.18288602786732985, -0.3982500363337366, -0.03866128090425933, 0.1770591856544151, 0.09042565453503477, -0.002980231675074289, -0.039595601102949955, -0.4596511649065896, 0.1405454416097583, -0.2788299539396049, -0.09146463752136026, -0.1042378402658199, 0.09351959792701037, 0.10796943412309415, -0.30321049369185377, -0.07059773796362079, 0.1316995837865091, 0.14154763582260593, -0.1330575601589915, -0.03569703549759364, -0.08207027971940606, 0.11834988976510144, -0.012860541310051064, -0.08733597592646747, 0.09554096226163797, -0.18793850220543773, -0.11465073845006134, 0.3654160668191157, -0.053399684581611505, -0.17792844684108308, 0.15603330270632318, -0.09866417422860027, -0.18449967570210757, 0.1495368290802856, -0.0770543949114845, 0.1651814770233805, -0.039236640459612795, 0.2213539585423668, -0.21795144816860557, 0.06052225891126957, 0.14354504059117876, 0.08654021022620757, 0.1479233171772457, 0.15993459253130773, 0.024750863618560527, 0.09123615123711429, 0.00890150720768265, -0.02097456825063809, -0.3696920875533435, -0.17655397233504214, 0.028941580621329576, 0.1383947728565162, -0.04365329229901698, -0.21358151611332832, 0.4541933061309943, 0.18448298252922923, 0.17630983941796186, 0.20671682466605776, 0.17266782726112165, -0.06956558423361887, 0.019370219854049776, -0.05336875641277354, 0.05222272442800826, 0.27592485760779756, -0.018489956573926304, 0.027798830908355547, -0.05982985216388969, 0.3200128216137129] |
708.2068 | QCD sum rules analysis of the rare radiative Bc -> D*_s gamma decay | In this work, the radiative Bc -> D*_s gamma decay is investigated in the
framework of QCD sum rules. The transition form factors responsible for the
decay are calculated. The branching ratio for this decay is estimated to be
order of 10^-5 which can be measurable at LHC.
| hep-ph | in this work the radiative bc d_s gamma decay is investigated in the framework of qcd sum rules the transition form factors responsible for the decay are calculated the branching ratio for this decay is estimated to be order of 105 which can be measurable at lhc | [['in', 'this', 'work', 'the', 'radiative', 'bc', 'd_s', 'gamma', 'decay', 'is', 'investigated', 'in', 'the', 'framework', 'of', 'qcd', 'sum', 'rules', 'the', 'transition', 'form', 'factors', 'responsible', 'for', 'the', 'decay', 'are', 'calculated', 'the', 'branching', 'ratio', 'for', 'this', 'decay', 'is', 'estimated', 'to', 'be', 'order', 'of', '105', 'which', 'can', 'be', 'measurable', 'at', 'lhc']] | [-0.07012560287554886, 0.2504830623957071, -0.05578263608263211, 0.09691293410798336, -0.012129198749886548, -0.09532037218834491, 0.054636693807279174, 0.3426179115838827, -0.2512757533943241, -0.21777606157070778, 0.060454933676234585, -0.2677445544841442, -0.014052618364308109, 0.128823846895644, 0.12337590379521568, 0.07882296111672482, 0.03705097087460788, 0.04155676142173879, -0.05078407061940178, -0.20380253901586254, 0.2609810176840488, 0.02394632579005779, 0.23465210195393005, 0.14406326706422137, -0.048653181008201964, -0.08295942255434521, -0.02777685049643859, -0.0494656748871537, -0.2025647850588281, 0.06914276496923351, 0.2182030255331638, 0.09832053833660927, 0.12765616589124276, -0.28624091208218894, -0.12205991442216203, 0.1676548427079824, 0.1889730048554137, 0.039899502670332945, 0.0362240001955565, -0.2874963035450337, 0.17660276073605774, -0.1866600096146477, -0.0682056428904229, -0.0622449277880344, 0.024738280261133578, -0.06709110893388377, -0.4028256648081414, 0.0994786901122078, -0.03740271656437123, -0.018520643815715263, -0.03138380246534151, -0.1959320791759231, 0.049932451928628885, 0.10095628399520795, 0.1138336163192512, 0.06670912056963177, 0.16957632651394036, -0.11084474330926512, -0.14764969338207168, 0.43573799000141467, -0.08596223475104396, -0.16756892216173894, 0.05708740863632014, -0.21348637829911202, -0.13047127543572098, 0.23904936071088972, 0.23539190023067466, 0.09798534111456668, -0.211896890496954, 0.07555883060744469, 0.0160009040635951, 0.1192603756703357, 0.08015881497611074, 0.07643208362439528, 0.1903769824495341, 0.1922480561671422, -0.0722985777686885, 0.08829752341447834, -0.03672980263512185, -0.07772125137296129, -0.38710524316163775, -0.15651044098937766, -0.138537570829206, 0.11601542297037358, -0.0610943240252264, -0.0689170693166237, 0.32023270460380676, 0.03570176993912839, 0.2617252423889945, 0.04949468384903083, 0.2817207593966196, 0.23974226539994173, 0.10048966292054096, 0.059626391514184626, 0.33697314015985963, 0.1740412601031997, 0.08534453706221377, -0.28054727136375424, 0.12558370329281118, 0.06945018435610419] |
708.2069 | Relativistic analysis of magnetoelectric crystals: extracting a new
4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data | Earlier, the linear magnetoelectric effect of chromium sesquioxide Cr_2 O_3
has been determined experimentally as a function of temperature. One measures
the electric field-induced magnetization on Cr_2 O_3 crystals or the magnetic
field-induced polarization. From the magnetoelectric moduli of Cr_2 O_3 we
extract a 4-dimensional relativistic invariant pseudoscalar \tilde\alpha. It is
temperature dependent and of the order of ~ 10^{-4} Y_0, with Y_0 as vacuum
admittance. We show that the new pseudoscalar \tilde\alpha is odd under parity
transformation and odd under time inversion. Moreover, \tilde\alpha is for Cr_2
O_3 what Tellegen's gyrator is for two port theory, the axion field for axion
electrodynamics, and the PEMC (perfect electromagnetic conductor) for
electrical engineering.
| gr-qc hep-th physics.class-ph | earlier the linear magnetoelectric effect of chromium sesquioxide cr_2 o_3 has been determined experimentally as a function of temperature one measures the electric fieldinduced magnetization on cr_2 o_3 crystals or the magnetic fieldinduced polarization from the magnetoelectric moduli of cr_2 o_3 we extract a 4dimensional relativistic invariant pseudoscalar tildealpha it is temperature dependent and of the order of 104 y_0 with y_0 as vacuum admittance we show that the new pseudoscalar tildealpha is odd under parity transformation and odd under time inversion moreover tildealpha is for cr_2 o_3 what tellegens gyrator is for two port theory the axion field for axion electrodynamics and the pemc perfect electromagnetic conductor for electrical engineering | [['earlier', 'the', 'linear', 'magnetoelectric', 'effect', 'of', 'chromium', 'sesquioxide', 'cr_2', 'o_3', 'has', 'been', 'determined', 'experimentally', 'as', 'a', 'function', 'of', 'temperature', 'one', 'measures', 'the', 'electric', 'fieldinduced', 'magnetization', 'on', 'cr_2', 'o_3', 'crystals', 'or', 'the', 'magnetic', 'fieldinduced', 'polarization', 'from', 'the', 'magnetoelectric', 'moduli', 'of', 'cr_2', 'o_3', 'we', 'extract', 'a', '4dimensional', 'relativistic', 'invariant', 'pseudoscalar', 'tildealpha', 'it', 'is', 'temperature', 'dependent', 'and', 'of', 'the', 'order', 'of', '104', 'y_0', 'with', 'y_0', 'as', 'vacuum', 'admittance', 'we', 'show', 'that', 'the', 'new', 'pseudoscalar', 'tildealpha', 'is', 'odd', 'under', 'parity', 'transformation', 'and', 'odd', 'under', 'time', 'inversion', 'moreover', 'tildealpha', 'is', 'for', 'cr_2', 'o_3', 'what', 'tellegens', 'gyrator', 'is', 'for', 'two', 'port', 'theory', 'the', 'axion', 'field', 'for', 'axion', 'electrodynamics', 'and', 'the', 'pemc', 'perfect', 'electromagnetic', 'conductor', 'for', 'electrical', 'engineering']] | [-0.18846261910339063, 0.25195271291073645, -0.03524634867344421, 0.03293695517916333, -0.07483154837344144, -0.1629726958066762, 0.01067528140475252, 0.379974790689376, -0.21306434233446378, -0.24427857922876742, -0.005315463054455347, -0.2920425058015295, -0.13116260681737651, 0.16575484442407148, 0.07507817721233477, 0.06290775586364304, -0.12719128440922914, 0.04023931453189066, -0.07390591402135387, -0.1975442431111996, 0.2831271141809453, -0.012639815717734195, 0.26849655566216857, 0.1242751963006601, 0.091956212864937, -0.014128494779117875, 0.14166591710805357, -0.020367181872495928, -0.1230694223974694, -0.013311929539315872, 0.2288452063871732, -0.03532361833647162, 0.11398651762991338, -0.4040249688634733, -0.17431309805377512, 0.09188229358243244, 0.04337232390854944, 0.10960265292643427, -0.06419894555772378, -0.2520510767259308, 0.0645522129950575, -0.11753950738306115, -0.12547620720657948, -0.13367993742865217, 0.04118060158368469, -0.05938900540675129, -0.3144777000353143, 0.059058070227340956, 0.010581582885336232, 0.12138291471847543, -0.10965610855166708, -0.19916529811683809, -0.05830805134112099, 0.011178661567297438, 0.08963987886536497, 0.08308162038877338, 0.18596736755775842, -0.09352917071255679, -0.09663053033957342, 0.388417615446153, -0.14019273894918696, -0.12310806166056569, 0.028231102243267202, -0.18656210450304522, -0.12000421635693291, 0.1454157612626315, 0.08929949784064078, 0.1291875325925732, -0.09445730485819145, 0.1635259199066314, -0.04868490532510453, 0.1708301549760608, 0.12219928764645849, 0.056976576251825235, 0.22299237802691824, 0.11437011260942027, 0.015926217924602127, 0.15715560422757188, -0.06800690001539618, -0.004187352485484905, -0.2839298160025128, -0.20798896056697452, -0.19313594640803164, 0.142953322212388, -0.10481560102827545, -0.17249980177898128, 0.3586825938928906, 0.12633930444549601, 0.0977366056003784, -0.05522121942962881, 0.2712175774614553, 0.11757449135981365, 0.056861183429892, 0.006051352189912519, 0.2570951692088767, 0.22953426004974758, 0.13840054252724004, -0.33447588236188636, 0.04542303257747679, 0.05537556014065673] |
708.207 | The causal ladder and the strength of K-causality. I | A unifying framework for the study of causal relations is presented. The
causal relations are regarded as subsets of M x M and the role of the
corresponding antisymmetry conditions in the construction of the causal ladder
is stressed. The causal hierarchy of spacetime is built from chronology up to
K-causality and new characterizations of the distinction and strong causality
properties are obtained. The closure of the causal future is not transitive, as
a consequence its repeated composition leads to an infinite causal subladder
between strong causality and K-causality - the A-causality subladder. A
spacetime example is given which proves that K-causality differs from infinite
A-causality.
| gr-qc | a unifying framework for the study of causal relations is presented the causal relations are regarded as subsets of m x m and the role of the corresponding antisymmetry conditions in the construction of the causal ladder is stressed the causal hierarchy of spacetime is built from chronology up to kcausality and new characterizations of the distinction and strong causality properties are obtained the closure of the causal future is not transitive as a consequence its repeated composition leads to an infinite causal subladder between strong causality and kcausality the acausality subladder a spacetime example is given which proves that kcausality differs from infinite acausality | [['a', 'unifying', 'framework', 'for', 'the', 'study', 'of', 'causal', 'relations', 'is', 'presented', 'the', 'causal', 'relations', 'are', 'regarded', 'as', 'subsets', 'of', 'm', 'x', 'm', 'and', 'the', 'role', 'of', 'the', 'corresponding', 'antisymmetry', 'conditions', 'in', 'the', 'construction', 'of', 'the', 'causal', 'ladder', 'is', 'stressed', 'the', 'causal', 'hierarchy', 'of', 'spacetime', 'is', 'built', 'from', 'chronology', 'up', 'to', 'kcausality', 'and', 'new', 'characterizations', 'of', 'the', 'distinction', 'and', 'strong', 'causality', 'properties', 'are', 'obtained', 'the', 'closure', 'of', 'the', 'causal', 'future', 'is', 'not', 'transitive', 'as', 'a', 'consequence', 'its', 'repeated', 'composition', 'leads', 'to', 'an', 'infinite', 'causal', 'subladder', 'between', 'strong', 'causality', 'and', 'kcausality', 'the', 'acausality', 'subladder', 'a', 'spacetime', 'example', 'is', 'given', 'which', 'proves', 'that', 'kcausality', 'differs', 'from', 'infinite', 'acausality']] | [-0.17494902956698621, 0.1254014185764217, -0.1053256377400387, 0.13230764828733213, -0.1327016808026071, -0.09836822293166603, 0.03282029585402814, 0.29515074825003035, -0.27973294155228706, -0.24807993200651945, 0.08394486863676104, -0.257460481744437, -0.13997248396987005, 0.17313569983179194, -0.0650082849941793, -0.002226755688787394, 0.016647556849888393, 0.09784695861328925, -0.12129504985530816, -0.1749209134129896, 0.35094691775739195, 0.05751483531757479, 0.276725928044124, 0.04278802170107762, 0.13212036567052737, 0.028531769302762335, -0.05635599041623729, 0.08522788024995298, -0.12720600054606274, 0.08785702665558173, 0.24268617002027376, 0.19350877718201706, 0.2283803823448363, -0.3824161279769171, -0.20567649007037592, 0.08823394981612052, 0.05940000183791632, 0.07547935375478118, 0.014125783240333908, -0.30866454792142445, 0.07445509469391601, -0.13322750702500344, -0.13966634216762724, -0.044221854271988076, 0.019348816218830292, -0.05996012879491207, -0.24251477236282967, 0.0945854740084282, 0.1581062405192781, 0.07052753713159333, -0.04040496829298458, -0.052973646732668085, -0.06548685107734942, 0.1398213617060156, 0.06145234853694481, 0.012576104274817876, 0.03973367336161789, -0.058716900274157525, -0.13645410621095272, 0.36839802288228557, -0.011429204401515779, -0.2012393827860554, 0.19472816145668428, -0.12246369241315516, -0.12641430076743876, 0.06936440484243489, 0.09349325190165213, 0.10125403112421433, -0.18054358004814103, 0.14800290569796093, -0.09764999966802342, 0.09784620010870554, 0.09739266363460393, 0.08821750730054365, 0.22705513766212831, 0.15443548437518378, 0.06287644970053363, 0.12881369282535854, -0.008835500554137286, -0.10910374296474315, -0.3851229736537096, -0.15857177584548482, -0.12150937671318561, 0.0700632495163951, -0.1489536528203947, -0.191485167826925, 0.3005027437405217, 0.1068055024170982, 0.14917892887301387, 0.04835954675827885, 0.1787650933400506, 0.07547275811389444, 0.049318748858890364, 0.06360702719095918, 0.22625701751205182, 0.21543332962762743, 0.02641958646875407, -0.1985639670065471, 0.10304607351177505, 0.09834359318109429] |
708.2071 | Eduction and Economy -- An Analysis of Statistical Data | In this paper the correlation between education, research and macroeconomic
strength of countries at a global scale is analyzed on the basis of statistical
data published by the UNIDO and OECD. It uses sets of composite indicators
describing the economical performance and competitiveness as well as those
relevant for human development, education, knowledge and technology achievement
and correlates them. It turns out that for countries with a human development
index (HDI) below 0.7 the basic education and technology achievement indices
are the driving force for further development, whereas for the industrialized
countries the knowledge index as a composite education and communication index
has the strongest effect on the economic strength of a country as measured by
the gross domestic product.
| physics.soc-ph physics.ed-ph q-fin.GN | in this paper the correlation between education research and macroeconomic strength of countries at a global scale is analyzed on the basis of statistical data published by the unido and oecd it uses sets of composite indicators describing the economical performance and competitiveness as well as those relevant for human development education knowledge and technology achievement and correlates them it turns out that for countries with a human development index hdi below 07 the basic education and technology achievement indices are the driving force for further development whereas for the industrialized countries the knowledge index as a composite education and communication index has the strongest effect on the economic strength of a country as measured by the gross domestic product | [['in', 'this', 'paper', 'the', 'correlation', 'between', 'education', 'research', 'and', 'macroeconomic', 'strength', 'of', 'countries', 'at', 'a', 'global', 'scale', 'is', 'analyzed', 'on', 'the', 'basis', 'of', 'statistical', 'data', 'published', 'by', 'the', 'unido', 'and', 'oecd', 'it', 'uses', 'sets', 'of', 'composite', 'indicators', 'describing', 'the', 'economical', 'performance', 'and', 'competitiveness', 'as', 'well', 'as', 'those', 'relevant', 'for', 'human', 'development', 'education', 'knowledge', 'and', 'technology', 'achievement', 'and', 'correlates', 'them', 'it', 'turns', 'out', 'that', 'for', 'countries', 'with', 'a', 'human', 'development', 'index', 'hdi', 'below', '07', 'the', 'basic', 'education', 'and', 'technology', 'achievement', 'indices', 'are', 'the', 'driving', 'force', 'for', 'further', 'development', 'whereas', 'for', 'the', 'industrialized', 'countries', 'the', 'knowledge', 'index', 'as', 'a', 'composite', 'education', 'and', 'communication', 'index', 'has', 'the', 'strongest', 'effect', 'on', 'the', 'economic', 'strength', 'of', 'a', 'country', 'as', 'measured', 'by', 'the', 'gross', 'domestic', 'product']] | [-0.03579268634784967, 0.11232454075943679, -0.03793692499166355, 0.0979355102715393, -0.05059021017514169, -0.1068827496317681, 0.0723102792641536, 0.3409425896126777, -0.1916390841593966, -0.37197029577801005, 0.12559853937612692, -0.2955297608859837, -0.16122778261390824, 0.23274579909581614, -0.09036375687768063, 0.004034412310769161, 0.019538209843449294, 0.04718630561837926, 0.012470725634678577, -0.24005026331481835, 0.2981057344780614, 0.08834719395575424, 0.4112850804813206, 0.08615872140508145, 0.04872877523011994, -0.018282010782665264, -0.0942305609312219, -0.009078784636221826, -0.0934314886130475, 0.19161083887641628, 0.3349586160077403, 0.18356226267060266, 0.3849506380036473, -0.3499875052676847, -0.16497109938645735, 0.04301073830271586, 0.07880325048511926, -0.012339074241511601, -0.00425392384834898, -0.2749617776329008, -0.002023591221465419, -0.25081026087282227, -0.14878237114365522, -0.05873141719882066, 0.08029120451149842, -0.00899243465003868, -0.2650098410900682, 0.04998190583476874, -0.010722855174875198, 0.1745379236941517, -0.04753238562310192, -0.14304420636811604, -0.05466224048868753, 0.21904386160094874, 0.10118560103971201, 0.02254386570615073, 0.187983684350426, -0.1721824925916735, -0.14794807804234247, 0.373602905900528, -0.04621388285110394, -0.11421388185893495, 0.17582908619466858, -0.12452914854050808, -0.13580087405862287, 0.005433717975392938, 0.2074413068514938, -0.023544406107005974, -0.1422927047824487, 0.03587518250230157, 0.007555673601261029, 0.16911795331009974, 0.0700363676956234, 0.010176704983071735, 0.19272979578818195, 0.19723903826185657, 0.07946567363105714, 0.062102931216941215, -0.036551998372063584, -0.10256596970527122, -0.2418271029057602, -0.1726613861663888, -0.14352336550752323, 0.026745326902891976, -0.09452309031730692, -0.12015117933624424, 0.41247020177543164, 0.08853608542898049, 0.06069817670310537, 0.033376735274214295, 0.3021137877367437, 0.04095442379669597, 0.1087527612146611, 0.05924377791234292, 0.25035752283098794, 0.066840024915291, 0.20234835918527097, -0.14618975011787066, 0.1624272207651908, 0.01170329725719057] |
708.2072 | Hadronic Resonances from Lattice QCD | The determination of the pattern of hadronic resonances as predicted by
Quantum Chromodynamics requires the use of non-perturbative techniques. Lattice
QCD has emerged as the dominant tool for such calculations, and has produced
many QCD predictions which can be directly compared to experiment. The concepts
underlying lattice QCD are outlined, methods for calculating excited states are
discussed, and results from an exploratory Nucleon and Delta baryon spectrum
study are presented.
| hep-lat nucl-th | the determination of the pattern of hadronic resonances as predicted by quantum chromodynamics requires the use of nonperturbative techniques lattice qcd has emerged as the dominant tool for such calculations and has produced many qcd predictions which can be directly compared to experiment the concepts underlying lattice qcd are outlined methods for calculating excited states are discussed and results from an exploratory nucleon and delta baryon spectrum study are presented | [['the', 'determination', 'of', 'the', 'pattern', 'of', 'hadronic', 'resonances', 'as', 'predicted', 'by', 'quantum', 'chromodynamics', 'requires', 'the', 'use', 'of', 'nonperturbative', 'techniques', 'lattice', 'qcd', 'has', 'emerged', 'as', 'the', 'dominant', 'tool', 'for', 'such', 'calculations', 'and', 'has', 'produced', 'many', 'qcd', 'predictions', 'which', 'can', 'be', 'directly', 'compared', 'to', 'experiment', 'the', 'concepts', 'underlying', 'lattice', 'qcd', 'are', 'outlined', 'methods', 'for', 'calculating', 'excited', 'states', 'are', 'discussed', 'and', 'results', 'from', 'an', 'exploratory', 'nucleon', 'and', 'delta', 'baryon', 'spectrum', 'study', 'are', 'presented']] | [-0.03051669324881264, 0.22313571016358244, -0.12817938881261007, 0.12273549166108881, -0.05096169001023684, -0.08986275305838458, 0.002190120272072298, 0.36177589068455357, -0.19093387327822192, -0.2630698650277087, 0.07128195038863591, -0.3237574086857161, -0.08400360531439739, 0.17047887458798608, 0.09504166397798275, 0.1447254440215017, 0.07937853464723697, 0.014395104423549908, -0.043324423887367756, -0.15865256959306342, 0.30123583847390756, 0.06732551300332748, 0.2288585899397731, 0.15971191134636423, 0.005769203816141401, 0.004954338221744235, -0.10607625583319792, -0.01399711794219911, -0.13913690539609108, 0.10785865294996516, 0.28616371873234, 0.08689029151241162, 0.14887651346756944, -0.4081448799797467, -0.22112963551522366, 0.05930136559930231, 0.1798149575678898, 0.1984333288905743, -0.06035491047160966, -0.2924359084373074, 0.12406024289583521, -0.1650138584963445, -0.15718063396135612, -0.2097844807963286, -0.05984894977050966, -0.03315013463309567, -0.2846990390148546, 0.03196991803124547, -0.060063251589391645, 0.04544909921314684, 0.016752551359656667, -0.24786879576609602, -0.006194715308291572, 0.13134791682075178, 0.08257999033001917, 0.09634221598306404, 0.14741097141190299, -0.1748652299333896, -0.23881230392892447, 0.5026661728375724, -0.016860031642551933, -0.11435658412852458, 0.14871460818685592, -0.09845044672090028, -0.13749897549194948, 0.1050111399697406, 0.13425592596842242, 0.07391918465229018, -0.14481142132676073, 0.08833698680640996, -0.005977537735764469, 0.1463598564799343, 0.03986688622805689, 0.0968618083612195, 0.2237976187440966, 0.1885173116877143, -0.06611763261607848, 0.07257187922784526, -0.041629836655088834, -0.13306881647191143, -0.32219442735825266, -0.06438412409541862, -0.22053945852177484, 0.034980625770653466, -0.05287316203986328, -0.14524316410201468, 0.3799940863358123, 0.09516931800171732, 0.19530444127906646, -0.05508580568213282, 0.29310619555014583, 0.15070871409760522, 0.055924566389460646, 0.021934117656201124, 0.279520987667742, 0.21190380975936673, 0.09697494611942342, -0.26246060141794647, 0.012727895858032363, 0.10253046206531248] |
708.2073 | Controlled exchange interaction between pairs of neutral atoms in an
optical lattice | Ultra-cold atoms trapped by light, with their robust quantum coherence and
controllability, provide an attractive system for quantum information
processing and for simulation of complex problems in condensed matter physics.
Many quantum information processing schemes require that individual qubits be
manipulated and deterministically entangled with one another, a process that
would typically be accomplished by controlled, state-dependent, coherent
interactions among qubits. Recent experiments have made progress toward this
goal by demonstrating entanglement among an ensemble of atoms confined in an
optical lattice. Until now, however, there has been no demonstration of a key
operation: controlled entanglement between atoms in isolated pairs. We have
used an optical lattice of double-well potentials to isolate and manipulate
arrays of paired atoms, inducing controlled entangling interactions within each
pair. Our experiment is the first realization of proposals to use controlled
exchange coupling in a system of neutral atoms. Although 87Rb atoms have nearly
state-independent interactions, when we force two atoms into the same physical
location, the wavefunction exchange symmetry of these identical bosons leads to
state-dependent dynamics. We observe repeated interchange of spin between atoms
occupying different vibrational levels, with a coherence time of more than ten
milliseconds. This observation represents the first demonstration of the
essential component of a quantum SWAP gate in neutral atoms. The "half
implementation" of SWAP, the sqrt(SWAP) gate, is entangling, and together with
single qubit rotations form a set of universal gates for quantum computation.
| quant-ph | ultracold atoms trapped by light with their robust quantum coherence and controllability provide an attractive system for quantum information processing and for simulation of complex problems in condensed matter physics many quantum information processing schemes require that individual qubits be manipulated and deterministically entangled with one another a process that would typically be accomplished by controlled statedependent coherent interactions among qubits recent experiments have made progress toward this goal by demonstrating entanglement among an ensemble of atoms confined in an optical lattice until now however there has been no demonstration of a key operation controlled entanglement between atoms in isolated pairs we have used an optical lattice of doublewell potentials to isolate and manipulate arrays of paired atoms inducing controlled entangling interactions within each pair our experiment is the first realization of proposals to use controlled exchange coupling in a system of neutral atoms although 87rb atoms have nearly stateindependent interactions when we force two atoms into the same physical location the wavefunction exchange symmetry of these identical bosons leads to statedependent dynamics we observe repeated interchange of spin between atoms occupying different vibrational levels with a coherence time of more than ten milliseconds this observation represents the first demonstration of the essential component of a quantum swap gate in neutral atoms the half implementation of swap the sqrtswap gate is entangling and together with single qubit rotations form a set of universal gates for quantum computation | [['ultracold', 'atoms', 'trapped', 'by', 'light', 'with', 'their', 'robust', 'quantum', 'coherence', 'and', 'controllability', 'provide', 'an', 'attractive', 'system', 'for', 'quantum', 'information', 'processing', 'and', 'for', 'simulation', 'of', 'complex', 'problems', 'in', 'condensed', 'matter', 'physics', 'many', 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'universal', 'gates', 'for', 'quantum', 'computation']] | [-0.156163528016847, 0.23791280694680195, -0.01758241436993389, -0.008037164608589293, 0.04567368668189689, -0.24622517878598366, 0.07662021029467463, 0.430281580744099, -0.24696659292231946, -0.30002141647622427, -0.0027594177513127903, -0.2820989146184192, -0.05896454692311302, 0.1975343579530543, 0.018332369675302784, 0.06600953476726498, 0.06618997789742544, 0.004703297586409171, -0.0487671561071547, -0.26790219160849976, 0.24813112927913147, 0.02830543467737656, 0.27160432242556526, 0.02304158834268964, 0.11926011459848879, 0.027933309608205902, 0.05151011227379074, -0.055763267797028906, -0.06611944383968361, 0.15360351461319857, 0.24402205032426155, 0.05253123625757306, 0.26925456551795646, -0.5203595424251717, -0.16686515335078578, 0.10582306848510802, 0.15811333559585622, 0.21103498469625565, -0.07794534924317531, -0.325129689664466, -0.06141988241373078, -0.1618391169600566, -0.09625122559410107, -0.1192141848946391, 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0.2878647497010256, 0.07963616712975959, 0.10227124201515021, 0.01456288454606186, 0.2527027459056726, 0.15868999115053864, 0.03600491846730846, -0.26405515631990906, 0.034979395570335636, -0.001860135409760953] |
708.2074 | Multidimensional ultrametric pseudodifferential equations | We develop an analysis of wavelets and pseudodifferential operators on
multidimensional ultrametric spaces which are defined as products of locally
compact ultrametric spaces. We introduce bases of wavelets, spaces of
generalized functions and Lizorkin generalized functions on multidimensional
ultrametric spaces.
We also consider some family of pseudodifferential operators on
multidimensional ultrametric spaces. The notions of Cauchy problem for
ultrametric pseudodifferential equations and of ultrametric characteristics are
introduced. A theorem about existence and uniqueness of the solution for the
Cauchy problem (the analogue of the Kovalevskaya theorem) is proven.
| math-ph math.MP | we develop an analysis of wavelets and pseudodifferential operators on multidimensional ultrametric spaces which are defined as products of locally compact ultrametric spaces we introduce bases of wavelets spaces of generalized functions and lizorkin generalized functions on multidimensional ultrametric spaces we also consider some family of pseudodifferential operators on multidimensional ultrametric spaces the notions of cauchy problem for ultrametric pseudodifferential equations and of ultrametric characteristics are introduced a theorem about existence and uniqueness of the solution for the cauchy problem the analogue of the kovalevskaya theorem is proven | [['we', 'develop', 'an', 'analysis', 'of', 'wavelets', 'and', 'pseudodifferential', 'operators', 'on', 'multidimensional', 'ultrametric', 'spaces', 'which', 'are', 'defined', 'as', 'products', 'of', 'locally', 'compact', 'ultrametric', 'spaces', 'we', 'introduce', 'bases', 'of', 'wavelets', 'spaces', 'of', 'generalized', 'functions', 'and', 'lizorkin', 'generalized', 'functions', 'on', 'multidimensional', 'ultrametric', 'spaces', 'we', 'also', 'consider', 'some', 'family', 'of', 'pseudodifferential', 'operators', 'on', 'multidimensional', 'ultrametric', 'spaces', 'the', 'notions', 'of', 'cauchy', 'problem', 'for', 'ultrametric', 'pseudodifferential', 'equations', 'and', 'of', 'ultrametric', 'characteristics', 'are', 'introduced', 'a', 'theorem', 'about', 'existence', 'and', 'uniqueness', 'of', 'the', 'solution', 'for', 'the', 'cauchy', 'problem', 'the', 'analogue', 'of', 'the', 'kovalevskaya', 'theorem', 'is', 'proven']] | [-0.13093564506958832, 0.08478042606243848, -0.11331197498789565, 0.23695910838035739, -0.09888487391237338, -0.0318169173181311, -0.04657655209302902, 0.3280442381404679, -0.3501383274878291, -0.13110502366907895, 0.1940997170167975, -0.28284883575344627, -0.20140539482235909, 0.22057770321738313, -0.12763749838764357, 0.09483065056106584, 0.03259106403724714, 0.03930644888102754, -0.17229528083275494, -0.2306125290713019, 0.5382264178584922, -0.036205661887916823, 0.21990743463604964, -0.0035872101487422533, 0.1564118757457684, 0.06251809902658517, -0.09373496582900936, -0.016890004912221975, -0.17483040877215733, 0.16980014508325522, 0.313120921777392, 0.12395599024603143, 0.2888495906848799, -0.3419176470699974, -0.20426648956808177, 0.2085150854281065, 0.0850196381798014, -0.04183924521070863, 0.00311051710344724, -0.4121015020646155, 0.06566751663922332, -0.12928095817650584, -0.17236408456069927, -0.15647764728319916, 0.02765484218781983, 0.0691718550356613, -0.28384914741301065, 0.053132317089462464, 0.15879619512072002, 0.08005427380769768, -0.21118001586926932, -0.07360820039387116, -0.004376496611671014, 0.018479551230980593, -0.023198861937006852, 0.006812024655201557, 0.02128070150502026, 0.05661659550175748, -0.17775587136963045, 0.3270722278096152, -0.04714501180305061, -0.3500260882164267, 0.08092625349209728, -0.14316040854266082, -0.17078295776578176, 0.015405788509683176, 0.20177135906520893, 0.20283985294570978, -0.09118358160115102, 0.2054267099989705, -0.12121682819402353, 0.04626952319151976, 0.13874870554586363, 0.12362963503057306, 0.06621059277941557, 0.1119077932830392, 0.16827946053606205, 0.19003884988011455, 0.051277137321779846, -0.12180412386012242, -0.31690238811676286, -0.17442095976333472, -0.14613754985144956, 0.11619926256852606, -0.18796400655661605, -0.31811595636165957, 0.34100778405131266, 0.05574508304496042, 0.09692934894172306, 0.13169152202978943, 0.13961109790199605, 0.1059218053454639, 0.0027475455770565368, 0.06442078315674073, 0.043328718977136305, 0.25963983362784016, 0.10153186644575643, -0.0496034299351529, -0.010302684148138558, 0.3023809857497161] |
708.2075 | Entropy Crisis, Defects and the Role of Competition in Monatomic Glass
Formers | We establish the existence of an entropy crisis in monatomic glass formers.
The work finally shows that the entropy crisis is ubiqutous in all supercooled
liquids. We also study the roles of defects and energetic competition on the
ideal glass.
| cond-mat.soft cond-mat.stat-mech | we establish the existence of an entropy crisis in monatomic glass formers the work finally shows that the entropy crisis is ubiqutous in all supercooled liquids we also study the roles of defects and energetic competition on the ideal glass | [['we', 'establish', 'the', 'existence', 'of', 'an', 'entropy', 'crisis', 'in', 'monatomic', 'glass', 'formers', 'the', 'work', 'finally', 'shows', 'that', 'the', 'entropy', 'crisis', 'is', 'ubiqutous', 'in', 'all', 'supercooled', 'liquids', 'we', 'also', 'study', 'the', 'roles', 'of', 'defects', 'and', 'energetic', 'competition', 'on', 'the', 'ideal', 'glass']] | [-0.10567504396805397, 0.2097489301578697, -0.1450523303773923, 0.060391814033023246, 0.04594757243429717, -0.07539201766634598, 0.029653616536122102, 0.31238180794156134, -0.21297356356174135, -0.173164310793464, 0.11152377176003005, -0.38486808958726054, -0.18845008944089597, 0.08676442140952134, -0.025142217323613856, 0.015384349112327281, 0.0018978920311499864, -0.0154544396373706, -0.06443224544636905, -0.24216880023670503, 0.30508912259187454, 0.04105611432057161, 0.33287632226561886, 0.19242614685581663, 0.06954889281246907, -0.006888677736218923, 0.0687892787779371, 0.03995818771326389, -0.2748427010234221, 0.055304311494416114, 0.25887581419486266, 0.027788392662142333, 0.2391046948539905, -0.4694107891752934, -0.22735214106834087, 0.1329162082133385, 0.046607023128905356, 0.10217074581827873, -0.027487608332497377, -0.18712104068925747, -0.0011738640471146656, -0.2075998265391741, -0.14591558776700345, -0.10215298774150702, 0.048726326905381985, 0.013990675272324529, -0.15825520121516326, 0.1582699690046959, 0.16450906396867374, 0.10760498085083106, -0.12643961942133805, -0.04034552975701025, -0.03453625327883623, 0.0532645888817616, 0.10089685252676599, -0.026189332738375433, 0.2008872382963697, -0.16703975300949353, -0.14104791009464326, 0.35706152614110553, -0.05214614825448594, -0.0828888572465915, 0.2937809318686143, -0.16534797417429778, -0.16121460764836043, 0.09347297547337337, 0.09614634981904274, 0.07988627035266314, -0.12973463159197798, -0.019178049544839617, -0.05618415963955414, 0.17407498065716562, 0.03889936120368731, 0.004065321053927526, 0.2334796003997326, 0.27844510299081987, 0.0571268882172612, 0.27269931197261965, -0.07495014679331619, -0.1537793006103199, -0.2627572983216781, -0.2834257921920373, -0.205124685788551, 0.04305985954422981, -0.12414761741894882, -0.14250074537136617, 0.36512237099500805, 0.14979030206226385, 0.1458129407121585, 0.003149098645036037, 0.17289332357736734, 0.013324727829641256, -0.05245036225861464, 0.057847531739240274, 0.2793001430825545, 0.11383799575746824, 0.13745911485061812, -0.2929618544518374, 0.11549798602190538, 0.10818786594348076] |
708.2076 | Repairing Inconsistent XML Write-Access Control Policies | XML access control policies involving updates may contain security flaws,
here called inconsistencies, in which a forbidden operation may be simulated by
performing a sequence of allowed operations. This paper investigates the
problem of deciding whether a policy is consistent, and if not, how its
inconsistencies can be repaired. We consider policies expressed in terms of
annotated DTDs defining which operations are allowed or denied for the XML
trees that are instances of the DTD. We show that consistency is decidable in
PTIME for such policies and that consistent partial policies can be extended to
unique "least-privilege" consistent total policies. We also consider repair
problems based on deleting privileges to restore consistency, show that finding
minimal repairs is NP-complete, and give heuristics for finding repairs.
| cs.DB | xml access control policies involving updates may contain security flaws here called inconsistencies in which a forbidden operation may be simulated by performing a sequence of allowed operations this paper investigates the problem of deciding whether a policy is consistent and if not how its inconsistencies can be repaired we consider policies expressed in terms of annotated dtds defining which operations are allowed or denied for the xml trees that are instances of the dtd we show that consistency is decidable in ptime for such policies and that consistent partial policies can be extended to unique leastprivilege consistent total policies we also consider repair problems based on deleting privileges to restore consistency show that finding minimal repairs is npcomplete and give heuristics for finding repairs | [['xml', 'access', 'control', 'policies', 'involving', 'updates', 'may', 'contain', 'security', 'flaws', 'here', 'called', 'inconsistencies', 'in', 'which', 'a', 'forbidden', 'operation', 'may', 'be', 'simulated', 'by', 'performing', 'a', 'sequence', 'of', 'allowed', 'operations', 'this', 'paper', 'investigates', 'the', 'problem', 'of', 'deciding', 'whether', 'a', 'policy', 'is', 'consistent', 'and', 'if', 'not', 'how', 'its', 'inconsistencies', 'can', 'be', 'repaired', 'we', 'consider', 'policies', 'expressed', 'in', 'terms', 'of', 'annotated', 'dtds', 'defining', 'which', 'operations', 'are', 'allowed', 'or', 'denied', 'for', 'the', 'xml', 'trees', 'that', 'are', 'instances', 'of', 'the', 'dtd', 'we', 'show', 'that', 'consistency', 'is', 'decidable', 'in', 'ptime', 'for', 'such', 'policies', 'and', 'that', 'consistent', 'partial', 'policies', 'can', 'be', 'extended', 'to', 'unique', 'leastprivilege', 'consistent', 'total', 'policies', 'we', 'also', 'consider', 'repair', 'problems', 'based', 'on', 'deleting', 'privileges', 'to', 'restore', 'consistency', 'show', 'that', 'finding', 'minimal', 'repairs', 'is', 'npcomplete', 'and', 'give', 'heuristics', 'for', 'finding', 'repairs']] | [-0.16062497684728325, 0.05534903267248263, -0.04109141358264511, 0.11971167692606668, -0.14289430287035723, -0.20255108020313445, 0.16234243722377165, 0.4085824767375485, -0.30203626280830753, -0.3094396475972908, 0.148747532888064, -0.2424232198090683, -0.11378994828367966, 0.15884363641699537, -0.19835772236148197, 0.05500328321161965, 0.11950697319491976, 0.027137787186450536, -0.033231640918060176, -0.2842455679708491, 0.3107712418028724, 0.016571649402800585, 0.2238391087476855, 0.026201901747094046, 0.05211169807514506, -0.0030936167064693665, -0.025268976103454348, 0.09611590052560542, -0.0915938173188366, 0.06998140443653439, 0.36860176870006045, 0.2954516308823405, 0.24899228735856951, -0.44626511848201195, -0.14514143056341358, 0.1490748475930999, 0.15873537107836455, 0.10019044773916023, -0.003971497551725817, -0.24645630149320968, 0.1446080943907521, -0.1819039011456733, -0.02435900794056755, -0.11814151542832053, 0.008121225367029828, -0.010739301117287287, -0.3287152671442938, 0.004566223133165735, 0.04714985639457741, 0.023754088063499018, -0.06309654071810655, -0.05728711350069892, -0.03183157303400578, 0.10850764232154395, 0.013980664433010163, 0.0022855175756699136, 0.11480327478549894, -0.09235348552653205, -0.22115007142025617, 0.3956103042639311, 0.04889816231462323, -0.20220602199345106, 0.13367411919922056, -0.01220278050412514, -0.20972455147984287, 0.09845910399341054, 0.13426114683369955, 0.11522984379271586, -0.20890093921503472, 0.08422115442742999, -0.08698496106831778, 0.2206103460292422, 0.13976876866523055, 0.03512015578246886, 0.17956591565668914, 0.127717069214991, 0.10181217606089288, 0.1625667454669207, 0.052655875284765515, -0.058502368260956096, -0.3090191463481695, -0.09380654663865214, -0.10840330738574266, -0.014615127281544002, -0.061329086670617296, -0.17133740412311688, 0.3625346629489814, 0.2212863333181538, 0.132909590303297, 0.1295932912316564, 0.2790521894649212, 0.07834245993815843, 0.10099801492329026, 0.15348830085337883, 0.1387563870033069, -0.00472680328887016, 0.043673932060389026, -0.18947341035105167, 0.20795995162259187, 0.028618046152029907] |
708.2077 | Kinetics of Loop Formation in Polymer Chains | We investigate the kinetics of loop formation in flexible ideal polymer
chains (Rouse model), and polymers in good and poor solvents. We show for the
Rouse model, using a modification of the theory of Szabo, Schulten, and
Schulten, that the time scale for cyclization is $\tau_c\sim \tau_0 N^2$ (where
$\tau_0$ is a microscopic time scale and $N$ is the number of monomers),
provided the coupling between the relaxation dynamics of the end-to-end vector
and the looping dynamics is taken into account. The resulting analytic
expression fits the simulation results accurately when $a$, the capture radius
for contact formation, exceeds $b$, the average distance between two connected
beads. Simulations also show that, when $a < b$, $\tau_c\sim N^{\alpha_\tau}$,
where $1.5<{\alpha_\tau}\le 2$ in the range $7<N<200$ used in the simulations.
By using a diffusion coefficient that is dependent on the length scales $a$ and
$b$ (with $a<b$), which captures the two-stage mechanism by which looping
occurs when $a < b$, we obtain an analytic expression for $\tau_c$ that fits
the simulation results well. The kinetics of contact formation between the ends
of the chain are profoundly affected when interactions between monomers are
taken into account. Remarkably, for $N < 100$ the values of $\tau_c$ decrease
by more than two orders of magnitude when the solvent quality changes from good
to poor. Fits of the simulation data for $\tau_c$ to a power law in $N$
($\tau_c\sim N^{\alpha_\tau}$) show that $\alpha_\tau$ varies from about 2.4 in
a good solvent to about 1.0 in poor solvents. Loop formation in poor solvents,
in which the polymer adopts dense, compact globular conformations, occurs by a
reptation-like mechanism of the ends of the chain.
| cond-mat.soft | we investigate the kinetics of loop formation in flexible ideal polymer chains rouse model and polymers in good and poor solvents we show for the rouse model using a modification of the theory of szabo schulten and schulten that the time scale for cyclization is tau_csim tau_0 n2 where tau_0 is a microscopic time scale and n is the number of monomers provided the coupling between the relaxation dynamics of the endtoend vector and the looping dynamics is taken into account the resulting analytic expression fits the simulation results accurately when a the capture radius for contact formation exceeds b the average distance between two connected beads simulations also show that when a b tau_csim nalpha_tau where 15alpha_taule 2 in the range 7n200 used in the simulations by using a diffusion coefficient that is dependent on the length scales a and b with ab which captures the twostage mechanism by which looping occurs when a b we obtain an analytic expression for tau_c that fits the simulation results well the kinetics of contact formation between the ends of the chain are profoundly affected when interactions between monomers are taken into account remarkably for n 100 the values of tau_c decrease by more than two orders of magnitude when the solvent quality changes from good to poor fits of the simulation data for tau_c to a power law in n tau_csim nalpha_tau show that alpha_tau varies from about 24 in a good solvent to about 10 in poor solvents loop formation in poor solvents in which the polymer adopts dense compact globular conformations occurs by a reptationlike mechanism of the ends of the chain | [['we', 'investigate', 'the', 'kinetics', 'of', 'loop', 'formation', 'in', 'flexible', 'ideal', 'polymer', 'chains', 'rouse', 'model', 'and', 'polymers', 'in', 'good', 'and', 'poor', 'solvents', 'we', 'show', 'for', 'the', 'rouse', 'model', 'using', 'a', 'modification', 'of', 'the', 'theory', 'of', 'szabo', 'schulten', 'and', 'schulten', 'that', 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708.2078 | Obstructions to Genericity in Study of Parametric Problems in Control
Theory | We investigate systems of equations, involving parameters from the point of
view of both control theory and computer algebra. The equations might involve
linear operators such as partial (q-)differentiation, (q-)shift, (q-)difference
as well as more complicated ones, which act trivially on the parameters. Such a
system can be identified algebraically with a certain left module over a
non-commutative algebra, where the operators commute with the parameters. We
develop, implement and use in practice the algorithm for revealing all the
expressions in parameters, for which e.g. homological properties of a system
differ from the generic properties. We use Groebner bases and Groebner basics
in rings of solvable type as main tools. In particular, we demonstrate an
optimized algorithm for computing the left inverse of a matrix over a ring of
solvable type. We illustrate the article with interesting examples. In
particular, we provide a complete solution to the "two pendula, mounted on a
cart" problem from the classical book of Polderman and Willems, including the
case, where the friction at the joints is essential . To the best of our
knowledge, the latter example has not been solved before in a complete way.
| math.OC cs.SC math.RA | we investigate systems of equations involving parameters from the point of view of both control theory and computer algebra the equations might involve linear operators such as partial qdifferentiation qshift qdifference as well as more complicated ones which act trivially on the parameters such a system can be identified algebraically with a certain left module over a noncommutative algebra where the operators commute with the parameters we develop implement and use in practice the algorithm for revealing all the expressions in parameters for which eg homological properties of a system differ from the generic properties we use groebner bases and groebner basics in rings of solvable type as main tools in particular we demonstrate an optimized algorithm for computing the left inverse of a matrix over a ring of solvable type we illustrate the article with interesting examples in particular we provide a complete solution to the two pendula mounted on a cart problem from the classical book of polderman and willems including the case where the friction at the joints is essential to the best of our knowledge the latter example has not been solved before in a complete way | [['we', 'investigate', 'systems', 'of', 'equations', 'involving', 'parameters', 'from', 'the', 'point', 'of', 'view', 'of', 'both', 'control', 'theory', 'and', 'computer', 'algebra', 'the', 'equations', 'might', 'involve', 'linear', 'operators', 'such', 'as', 'partial', 'qdifferentiation', 'qshift', 'qdifference', 'as', 'well', 'as', 'more', 'complicated', 'ones', 'which', 'act', 'trivially', 'on', 'the', 'parameters', 'such', 'a', 'system', 'can', 'be', 'identified', 'algebraically', 'with', 'a', 'certain', 'left', 'module', 'over', 'a', 'noncommutative', 'algebra', 'where', 'the', 'operators', 'commute', 'with', 'the', 'parameters', 'we', 'develop', 'implement', 'and', 'use', 'in', 'practice', 'the', 'algorithm', 'for', 'revealing', 'all', 'the', 'expressions', 'in', 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708.2079 | B-Meson Observables in the Maximally CP-Violating MSSM with Minimal
Flavour Violation | Additional sources of CP violation in the MSSM may affect B-meson mixings and
decays, even in scenarios with minimal flavour violation (MFV). We formulate
the maximally CP-violating and minimally flavour-violating (MCPMFV) variant of
the MSSM, which has 19 parameters, including 6 phases that violate CP. We then
develop a manifestly flavour-covariant effective Lagrangian formalism for
calculating Higgs-mediated FCNC observables in the MSSM at large tan(beta), and
analyze within the MCPMFV framework FCNC and other processes involving B
mesons. We include a new class of dominant subleading contributions due to
non-decoupling effects of the third-generation quarks. We present illustrative
numerical results that include effects of the CP-odd MCPMFV parameters on Higgs
and sparticle masses, the B_s and B_d mass differences, and on the decays B_s
--> mu+ mu-, B_u --> tau nu and b --> s gamma. We use these results to derive
illustrative constraints on the MCPMFV parameters imposed by D0, CDF, BELLE and
BABAR measurements of B mesons, demonstrating how a potentially observable
contribution to the CP asymmetry in the b --> s gamma decay may arise in the
MSSM with MCPMFV.
| hep-ph | additional sources of cp violation in the mssm may affect bmeson mixings and decays even in scenarios with minimal flavour violation mfv we formulate the maximally cpviolating and minimally flavourviolating mcpmfv variant of the mssm which has 19 parameters including 6 phases that violate cp we then develop a manifestly flavourcovariant effective lagrangian formalism for calculating higgsmediated fcnc observables in the mssm at large tanbeta and analyze within the mcpmfv framework fcnc and other processes involving b mesons we include a new class of dominant subleading contributions due to nondecoupling effects of the thirdgeneration quarks we present illustrative numerical results that include effects of the cpodd mcpmfv parameters on higgs and sparticle masses the b_s and b_d mass differences and on the decays b_s mu mu b_u tau nu and b s gamma we use these results to derive illustrative constraints on the mcpmfv parameters imposed by d0 cdf belle and babar measurements of b mesons demonstrating how a potentially observable contribution to the cp asymmetry in the b s gamma decay may arise in the mssm with mcpmfv | [['additional', 'sources', 'of', 'cp', 'violation', 'in', 'the', 'mssm', 'may', 'affect', 'bmeson', 'mixings', 'and', 'decays', 'even', 'in', 'scenarios', 'with', 'minimal', 'flavour', 'violation', 'mfv', 'we', 'formulate', 'the', 'maximally', 'cpviolating', 'and', 'minimally', 'flavourviolating', 'mcpmfv', 'variant', 'of', 'the', 'mssm', 'which', 'has', '19', 'parameters', 'including', '6', 'phases', 'that', 'violate', 'cp', 'we', 'then', 'develop', 'a', 'manifestly', 'flavourcovariant', 'effective', 'lagrangian', 'formalism', 'for', 'calculating', 'higgsmediated', 'fcnc', 'observables', 'in', 'the', 'mssm', 'at', 'large', 'tanbeta', 'and', 'analyze', 'within', 'the', 'mcpmfv', 'framework', 'fcnc', 'and', 'other', 'processes', 'involving', 'b', 'mesons', 'we', 'include', 'a', 'new', 'class', 'of', 'dominant', 'subleading', 'contributions', 'due', 'to', 'nondecoupling', 'effects', 'of', 'the', 'thirdgeneration', 'quarks', 'we', 'present', 'illustrative', 'numerical', 'results', 'that', 'include', 'effects', 'of', 'the', 'cpodd', 'mcpmfv', 'parameters', 'on', 'higgs', 'and', 'sparticle', 'masses', 'the', 'b_s', 'and', 'b_d', 'mass', 'differences', 'and', 'on', 'the', 'decays', 'b_s', 'mu', 'mu', 'b_u', 'tau', 'nu', 'and', 'b', 's', 'gamma', 'we', 'use', 'these', 'results', 'to', 'derive', 'illustrative', 'constraints', 'on', 'the', 'mcpmfv', 'parameters', 'imposed', 'by', 'd0', 'cdf', 'belle', 'and', 'babar', 'measurements', 'of', 'b', 'mesons', 'demonstrating', 'how', 'a', 'potentially', 'observable', 'contribution', 'to', 'the', 'cp', 'asymmetry', 'in', 'the', 'b', 's', 'gamma', 'decay', 'may', 'arise', 'in', 'the', 'mssm', 'with', 'mcpmfv']] | [-0.1166418895005722, 0.2891285759266778, 0.006645941586551053, 0.16688789696271358, -0.10480168087189425, -0.20817236962088242, 0.12307772414847251, 0.24571105111754557, -0.1873023059887697, -0.2586156564540953, -0.005937715410254896, -0.3128971000534987, -0.03371854430401448, 0.10172771084039113, 0.03503671764167202, 0.08563882366665665, 0.0715320432928063, -0.06861262405603374, -0.08778940178531966, -0.20557097206477534, 0.25819595698683456, -0.05232714966210074, 0.12159026092875687, 0.13743700689568533, -0.04194506843426062, -0.025677710787169426, -0.08413343012655497, -0.06932791517058898, -0.17042427003819707, 0.03042749094701367, 0.17155668230248647, 0.14619265030028933, 0.040450099429022, -0.33340856857472956, -0.07727837620963805, 0.21139114497323108, 0.14122831337049854, 0.05911557619556181, -0.041121381880789384, -0.3887266592335934, 0.08011482189820465, -0.20444508485675544, -0.07128537050741023, -0.14048404072140808, -0.010085138324492053, -0.15915811170600147, -0.4322246571062341, 0.10662148092459112, -0.0959269040857322, 0.011000805142902711, 0.05305668801152506, -0.25811712073510795, -0.04408610361373291, -0.004532655583975535, 0.20682995849648, 0.01153507195517171, 0.19353316380907704, -0.15858072484453214, -0.1858294532613506, 0.43154052287527467, -0.10340902053454486, -0.2192037061426539, 0.14375937465505476, -0.21064002622140365, -0.22296478242779869, 0.0888179760964785, 0.24375275380951067, 0.04854989707533026, -0.20315076311394656, 0.25066147344518586, -0.04319492012799546, 0.11094392254797732, 0.059361085542165494, 0.12185707640464745, 0.20585941738714386, 0.1492520495819958, 0.03129500036736607, 0.028387671300436387, -0.07963286502437676, -0.0470089979480182, -0.49574349883048896, -0.08422340511970106, -0.012618872244691466, 0.06022402443064574, -0.0851832795750796, -0.0632164276035258, 0.41006768359828677, 0.10393743268305217, 0.23405061389043844, 0.010350221792085086, 0.28013822538309924, 0.05067151932562207, 0.07185263472073321, 0.04627727356598863, 0.3220176048623658, 0.1716689764776959, 0.13125865180344534, -0.319616639645843, 0.003535697594357852, 0.05023482263442025] |
708.208 | Evaluating the Signatures of the Mean Motion Resonances in the Solar
System | The characteristics of the resonant disturbing function for an asteroid
perturbed by a planet in circular orbit are discussed. The location of the
libration centers and their dependence with the orbital elements of the
resonant orbit are analyzed. A proposed numerical method (Gallardo 2006a) for
computing the strengths of the resonances is revised and applied to the region
of the main belt of asteroids showing the relevance of several mean motion
resonances (MMR) with several planets.
| astro-ph | the characteristics of the resonant disturbing function for an asteroid perturbed by a planet in circular orbit are discussed the location of the libration centers and their dependence with the orbital elements of the resonant orbit are analyzed a proposed numerical method gallardo 2006a for computing the strengths of the resonances is revised and applied to the region of the main belt of asteroids showing the relevance of several mean motion resonances mmr with several planets | [['the', 'characteristics', 'of', 'the', 'resonant', 'disturbing', 'function', 'for', 'an', 'asteroid', 'perturbed', 'by', 'a', 'planet', 'in', 'circular', 'orbit', 'are', 'discussed', 'the', 'location', 'of', 'the', 'libration', 'centers', 'and', 'their', 'dependence', 'with', 'the', 'orbital', 'elements', 'of', 'the', 'resonant', 'orbit', 'are', 'analyzed', 'a', 'proposed', 'numerical', 'method', 'gallardo', '2006a', 'for', 'computing', 'the', 'strengths', 'of', 'the', 'resonances', 'is', 'revised', 'and', 'applied', 'to', 'the', 'region', 'of', 'the', 'main', 'belt', 'of', 'asteroids', 'showing', 'the', 'relevance', 'of', 'several', 'mean', 'motion', 'resonances', 'mmr', 'with', 'several', 'planets']] | [-0.16428891195315182, 0.09327176206696956, -0.080282707085931, 0.0497589096209451, -0.030805157423999748, -0.01123358369314749, 0.03531944214390885, 0.339080014731735, -0.20589660032113133, -0.3091534208138718, 0.0720833914253346, -0.2729563137859498, -0.1280876675767726, 0.22909387490270952, -0.08403469893298614, 0.10844933722584851, 0.12769960624312884, 0.01745714391826799, 0.0014420131491006988, -0.23434666975548393, 0.3047402718741643, 0.0541193660158713, 0.0873637717021139, 0.012401975983888596, 0.06023032795392761, 0.0028073343595391826, 0.02124596686764179, -0.04857527532026564, -0.1496485307273504, 0.14763346922240758, 0.18488372440793013, 0.07967900759295414, 0.23055354532736697, -0.3400484580718177, -0.15397923765704036, 0.017550854251327876, 0.1482434317279656, 0.09593583683875438, -0.05430026394682691, -0.34907165944184126, 0.08823138118819579, -0.17101543638119965, -0.2216977539248642, 0.006021001302686177, 0.1144379620121694, 0.07714397193079717, -0.2603013078731142, 0.04515375084194698, 0.11089827525919597, 0.14382635194220042, -0.15477187648464583, -0.18234480710357034, -0.07313273898570945, 0.10957054907799159, 0.06618481507757679, -0.06537566971842591, 0.19053955618782262, -0.03816135516880374, -0.11627886919794898, 0.4027973656989879, -0.0643983613822217, -0.13622263669171125, 0.19696006457639956, -0.21548066380752348, -0.04897638683599469, 0.16186386794096938, 0.1697415180602356, 0.13089941327435603, -0.1574386942175854, 0.04675742153439818, 0.00786583679483125, 0.11870930191913717, 0.10630730890031707, 0.020035860716904465, 0.3013842443224827, 0.12464307074582107, 0.04978302960578156, 0.10802522919287808, -0.1927497771593105, -0.11284154805195469, -0.22558586344453752, -0.09866913976331584, -0.18060237486650677, -0.09062146991307504, -0.08373921188659121, -0.14913026984830044, 0.4197801741967468, 0.12555294184130616, 0.22698840448988208, -0.011622398184906495, 0.2851414166047777, 0.12650830878287947, 0.06682833448040153, 0.07710891508031636, 0.3523706527377822, 0.15957709350990817, 0.06185945998387117, -0.3211564317799026, 0.05925221382762844, 0.016196541889497127] |
708.2081 | VLBA determination of the distance to nearby star-forming regions I. The
distance to T Tauri with 0.4% accuracy | In this article, we present the results of a series of twelve 3.6-cm radio
continuum observations of T Tau Sb, one of the companions of the famous young
stellar object T Tauri. The data were collected roughly every two months
between September 2003 and July 2005 with the Very Long Baseline Array (VLBA).
Thanks to the remarkably accurate astrometry delivered by the VLBA, the
absolute position of T Tau Sb could be measured with a precision typically
better than about 100 micro-arcseconds at each of the twelve observed epochs.
The trajectory of T Tau Sb on the plane of the sky could, therefore, be traced
very precisely, and modeled as the superposition of the trigonometric parallax
of the source and an accelerated proper motion. The best fit yields a distance
to T Tau Sb of 147.6 +/- 0.6 pc. The observed positions of T Tau Sb are in good
agreement with recent infrared measurements, but seem to favor a somewhat
longer orbital period than that recently reported by Duchene et al. (2006) for
the T Tau Sa/T Tau Sb system.
| astro-ph | in this article we present the results of a series of twelve 36cm radio continuum observations of t tau sb one of the companions of the famous young stellar object t tauri the data were collected roughly every two months between september 2003 and july 2005 with the very long baseline array vlba thanks to the remarkably accurate astrometry delivered by the vlba the absolute position of t tau sb could be measured with a precision typically better than about 100 microarcseconds at each of the twelve observed epochs the trajectory of t tau sb on the plane of the sky could therefore be traced very precisely and modeled as the superposition of the trigonometric parallax of the source and an accelerated proper motion the best fit yields a distance to t tau sb of 1476 06 pc the observed positions of t tau sb are in good agreement with recent infrared measurements but seem to favor a somewhat longer orbital period than that recently reported by duchene et al 2006 for the t tau sat tau sb system | [['in', 'this', 'article', 'we', 'present', 'the', 'results', 'of', 'a', 'series', 'of', 'twelve', '36cm', 'radio', 'continuum', 'observations', 'of', 't', 'tau', 'sb', 'one', 'of', 'the', 'companions', 'of', 'the', 'famous', 'young', 'stellar', 'object', 't', 'tauri', 'the', 'data', 'were', 'collected', 'roughly', 'every', 'two', 'months', 'between', 'september', '2003', 'and', 'july', '2005', 'with', 'the', 'very', 'long', 'baseline', 'array', 'vlba', 'thanks', 'to', 'the', 'remarkably', 'accurate', 'astrometry', 'delivered', 'by', 'the', 'vlba', 'the', 'absolute', 'position', 'of', 't', 'tau', 'sb', 'could', 'be', 'measured', 'with', 'a', 'precision', 'typically', 'better', 'than', 'about', '100', 'microarcseconds', 'at', 'each', 'of', 'the', 'twelve', 'observed', 'epochs', 'the', 'trajectory', 'of', 't', 'tau', 'sb', 'on', 'the', 'plane', 'of', 'the', 'sky', 'could', 'therefore', 'be', 'traced', 'very', 'precisely', 'and', 'modeled', 'as', 'the', 'superposition', 'of', 'the', 'trigonometric', 'parallax', 'of', 'the', 'source', 'and', 'an', 'accelerated', 'proper', 'motion', 'the', 'best', 'fit', 'yields', 'a', 'distance', 'to', 't', 'tau', 'sb', 'of', '1476', '06', 'pc', 'the', 'observed', 'positions', 'of', 't', 'tau', 'sb', 'are', 'in', 'good', 'agreement', 'with', 'recent', 'infrared', 'measurements', 'but', 'seem', 'to', 'favor', 'a', 'somewhat', 'longer', 'orbital', 'period', 'than', 'that', 'recently', 'reported', 'by', 'duchene', 'et', 'al', '2006', 'for', 'the', 't', 'tau', 'sat', 'tau', 'sb', 'system']] | [-0.08640937623047587, 0.10699858193426567, -0.09638807065030508, 0.047691310477552304, -0.06270166300757471, -0.13654692606888608, 0.0826092774826284, 0.3911396969485685, -0.22556052019353956, -0.39877204595435434, 0.08053769447773113, -0.27317418400510396, 0.0013908154731772466, 0.19782797389276138, -0.041672819655638335, 0.008909690568442118, 0.11579161270407116, -0.02555541305115977, -0.07881844711136177, -0.2747280857364475, 0.1683288924213936, 0.12404321134610716, 0.14943822675160856, -0.058229967629193594, 0.06633227072752408, -0.047538995889780326, -0.1123057937572041, 0.005160321361858751, -0.10815038321450822, 0.03846847194808863, 0.2156505949636557, 0.07325775014410867, 0.17594359575201077, -0.33842152977468287, -0.14456183324417088, 0.05738299246096994, 0.10806348538234331, -0.008305806415571763, 0.0498089092079935, -0.30384402301204105, 0.050363449411019265, -0.15410661292080274, -0.14139067391505955, 0.05081267409838278, 0.13489711557270428, 0.02295780818510733, -0.25161934470726627, 0.12446610285580553, 0.038896958675045605, 0.11972391717109891, -0.06618500455261817, -0.18546487226777883, -0.02437400001793184, 0.1050833685911526, 0.027479813819199634, 0.16954445925816977, 0.07398511267458374, -0.05813927462782357, -0.125617449182247, 0.3685436831337176, -0.1076680673801733, -0.009938413073053824, 0.22976961578554655, -0.2407333927863803, -0.15478421799713674, 0.15345718055266325, 0.1133115325804654, 0.1411694763176268, -0.1612182839677829, 0.03435688344898306, -0.06251778180955508, 0.2256705494930541, 0.1177621057397535, 0.0474125636586976, 0.2472928240843242, 0.13515051777211834, 0.017441891098665542, 0.06152594262895346, -0.22669021114342788, -0.012853667694443119, -0.28172487524655443, -0.10866603039667809, -0.14781708671911697, 0.09873624206728734, -0.08609236466970527, -0.05604055244735749, 0.3645718375470635, 0.06852830315071194, 0.2456053389943928, 0.061516167177147536, 0.23117373328832858, 0.06053107815492877, 0.07582746186742739, 0.10503741534551679, 0.2895287323389306, 0.1267257644690823, 0.15871423263071552, -0.21465936346322964, 0.06234229636032592, 0.020855798232551227] |
708.2082 | Symmetries of quadratic forms classes and of quadratic surds continued
fractions. Part II: Classification of the periods' palindromes | The continue fractions of quadratic surds are periodic, according to a
theorem by Lagrange. Their periods may have differing types of symmetries. This
work relates these types of symmetries to the symmetries of the classes of the
corresponding indefinite quadratic forms. This allows to classify the periods
of quadratic surds and at the same time to find, for an arbitrary indefinite
quadratic form, the symmetry type of its class and the number of integer
points, for that class, contained in each domain of the Poincare' model of the
de Sitter world, introduced in Part I. Moreover, we obtain the same information
for every class of forms representing zero, by the finite continue fraction
related to a special representative of that class. We will see finally the
relation between the reduction procedure for indefinite quadratic forms,
defined by the continued fractions, and the classical reduction theory, which
acquires a geometrical description by the results of Part I.
| math.GM math.NT | the continue fractions of quadratic surds are periodic according to a theorem by lagrange their periods may have differing types of symmetries this work relates these types of symmetries to the symmetries of the classes of the corresponding indefinite quadratic forms this allows to classify the periods of quadratic surds and at the same time to find for an arbitrary indefinite quadratic form the symmetry type of its class and the number of integer points for that class contained in each domain of the poincare model of the de sitter world introduced in part i moreover we obtain the same information for every class of forms representing zero by the finite continue fraction related to a special representative of that class we will see finally the relation between the reduction procedure for indefinite quadratic forms defined by the continued fractions and the classical reduction theory which acquires a geometrical description by the results of part i | [['the', 'continue', 'fractions', 'of', 'quadratic', 'surds', 'are', 'periodic', 'according', 'to', 'a', 'theorem', 'by', 'lagrange', 'their', 'periods', 'may', 'have', 'differing', 'types', 'of', 'symmetries', 'this', 'work', 'relates', 'these', 'types', 'of', 'symmetries', 'to', 'the', 'symmetries', 'of', 'the', 'classes', 'of', 'the', 'corresponding', 'indefinite', 'quadratic', 'forms', 'this', 'allows', 'to', 'classify', 'the', 'periods', 'of', 'quadratic', 'surds', 'and', 'at', 'the', 'same', 'time', 'to', 'find', 'for', 'an', 'arbitrary', 'indefinite', 'quadratic', 'form', 'the', 'symmetry', 'type', 'of', 'its', 'class', 'and', 'the', 'number', 'of', 'integer', 'points', 'for', 'that', 'class', 'contained', 'in', 'each', 'domain', 'of', 'the', 'poincare', 'model', 'of', 'the', 'de', 'sitter', 'world', 'introduced', 'in', 'part', 'i', 'moreover', 'we', 'obtain', 'the', 'same', 'information', 'for', 'every', 'class', 'of', 'forms', 'representing', 'zero', 'by', 'the', 'finite', 'continue', 'fraction', 'related', 'to', 'a', 'special', 'representative', 'of', 'that', 'class', 'we', 'will', 'see', 'finally', 'the', 'relation', 'between', 'the', 'reduction', 'procedure', 'for', 'indefinite', 'quadratic', 'forms', 'defined', 'by', 'the', 'continued', 'fractions', 'and', 'the', 'classical', 'reduction', 'theory', 'which', 'acquires', 'a', 'geometrical', 'description', 'by', 'the', 'results', 'of', 'part', 'i']] | [-0.1553589593505678, 0.11735945328846589, -0.07856225315182923, 0.04258023219247265, -0.09211049942622104, -0.08470395048602651, 0.026245630499220286, 0.26511749495059633, -0.2962210121480987, -0.29169671207618636, 0.09030515593640769, -0.2529822794578929, -0.157017364892034, 0.19388077130618817, -0.05352680540482442, 0.014222870228247931, -0.004340674672932483, 0.07112699657400065, -0.13012388776032588, -0.30106776197536445, 0.36241387423927873, -0.0031184312493468705, 0.2204810056181696, -0.009860630365064701, 0.10199534096635687, 0.03594880370805279, -0.054622842508624904, 0.008972290083525318, -0.13329172602793848, 0.1450041850375083, 0.27120242925444377, 0.0897982649367828, 0.2609248152838495, -0.39379822260021824, -0.14129815589732084, 0.1562700255935152, 0.09419198658687468, 0.0853767676528197, -0.013372835468124742, -0.23760957031761512, 0.1055720501664417, -0.1529576568894136, -0.1960308913153429, -0.053895128559536085, 0.05356944863123294, 0.010544901128667288, -0.22727112216839138, 0.05977767262942134, 0.10128455201629549, 0.07100041256471275, -0.11147106283020455, -0.09981011199161936, -0.037753629587733976, 0.09392278643850333, 0.04584148930287203, -0.023189277921725687, 0.047065592392195515, -0.10116066029653527, -0.13086817900124842, 0.37273280267030573, -0.04993853438682914, -0.22077188029279335, 0.18186162242021126, -0.13566193111443844, -0.15545958203848642, 0.12631530001780425, 0.1843096054672526, 0.1120493212589421, -0.1026083884987598, 0.14599929078823876, -0.04769362308061085, 0.1011144179964247, 0.09663241410639901, 0.017700821650811494, 0.20397887574150586, 0.030251439063785933, 0.05434902675766259, 0.1727626679289059, -0.03782974311616272, -0.11244915612638952, -0.3746414798929786, -0.19204135782936832, -0.13565863894585234, 0.0570924256350666, -0.0965655185667483, -0.16940036190088648, 0.41611721919915184, 0.05084980726548029, 0.20885492647544313, 0.10090520671338965, 0.18132596902805978, 0.1491518744277971, 0.09705680367709973, 0.03706482431899088, 0.188906579288857, 0.10895637814283897, 0.06757010700918424, -0.22138626666930625, 0.011077714239199383, 0.10951811985638088] |
708.2083 | Allosteric communication in Dihydrofolate Reductase: Signaling network
and pathways for closed to occluded transition and back | E. Coli. dihydrofolate reductase (DHFR) undergoes conformational transitions
between the closed (CS) and occluded (OS) states which, respectively, describe
whether the active site is closed or occluded by the Met20 loop. A
sequence-based approach is used to identify a network of residues that
represents the allostery wiring diagram. We also use a self-organized polymer
model to monitor the kinetics of the CS->OS and the reverse transitions. a
sliding motion of Met20 loop is observed. The residues that facilitate the
Met20 loop motion are part of the network of residues that transmit allosteric
signals during the CS->OS transition.
| q-bio.BM | e coli dihydrofolate reductase dhfr undergoes conformational transitions between the closed cs and occluded os states which respectively describe whether the active site is closed or occluded by the met20 loop a sequencebased approach is used to identify a network of residues that represents the allostery wiring diagram we also use a selforganized polymer model to monitor the kinetics of the csos and the reverse transitions a sliding motion of met20 loop is observed the residues that facilitate the met20 loop motion are part of the network of residues that transmit allosteric signals during the csos transition | [['e', 'coli', 'dihydrofolate', 'reductase', 'dhfr', 'undergoes', 'conformational', 'transitions', 'between', 'the', 'closed', 'cs', 'and', 'occluded', 'os', 'states', 'which', 'respectively', 'describe', 'whether', 'the', 'active', 'site', 'is', 'closed', 'or', 'occluded', 'by', 'the', 'met20', 'loop', 'a', 'sequencebased', 'approach', 'is', 'used', 'to', 'identify', 'a', 'network', 'of', 'residues', 'that', 'represents', 'the', 'allostery', 'wiring', 'diagram', 'we', 'also', 'use', 'a', 'selforganized', 'polymer', 'model', 'to', 'monitor', 'the', 'kinetics', 'of', 'the', 'csos', 'and', 'the', 'reverse', 'transitions', 'a', 'sliding', 'motion', 'of', 'met20', 'loop', 'is', 'observed', 'the', 'residues', 'that', 'facilitate', 'the', 'met20', 'loop', 'motion', 'are', 'part', 'of', 'the', 'network', 'of', 'residues', 'that', 'transmit', 'allosteric', 'signals', 'during', 'the', 'csos', 'transition']] | [-0.14869859740234068, 0.17763551067052044, -0.03992505037446612, 0.05065454655331703, -0.026418579156635348, -0.17192540408985824, 0.11055212362775023, 0.38522389281502706, -0.26056551440743747, -0.24286738619899628, 0.004887015054712898, -0.2609196998678225, -0.2327717822837192, 0.0848908608625691, -0.03409344658793248, -0.030309245441608207, 0.06183215943117117, 0.05691162423355524, 0.04880114545632807, -0.14461264715136327, 0.22309848945587873, 0.046267066458144136, 0.23665918726186008, 0.02165772884450469, 0.10912202471463951, -0.03568387248941287, 0.058498363519452284, -0.019470910316083542, -0.10406395300288779, 0.1346227689172122, 0.26943909529039695, 0.10297730451776195, 0.19068953193263294, -0.424317314279909, -0.21396764282607617, 0.10337193900498456, 0.12022766061415224, 0.09572062380467877, 0.003737844992429018, -0.30085938040781574, 0.07995261044539127, -0.12686605440433493, -0.07032861610989749, -0.05977601209444176, 0.04244457260158259, 0.011697524294410785, -0.24754881839623155, 0.08361832075242251, 0.03445878526983187, 0.06245071513904739, -0.09404577633615621, -0.05678892853314575, -0.08798502462426412, 0.2229533018208272, 0.0050440660243393064, 0.04436869211206885, 0.26235578946538807, -0.1000630874594808, -0.15593818295730164, 0.34400860293163465, 0.00940821142195119, -0.15051727673787738, 0.17572181941653342, -0.1146105801909874, -0.15664814251772674, 0.24060902849185406, 0.1406763990880134, 0.13198000925098613, -0.16202102333652912, 0.04667123822740173, 0.02380209000206303, 0.184114501993988, 0.08719819136079132, -0.057073281285804266, 0.19067960694557076, 0.17165172418829092, 0.018285120784583473, 0.1807489180265321, -0.1590617990034834, -0.12101135843555856, -0.24384006281016088, -0.1874920277923499, -0.11721295047042526, 0.005050339308788174, -0.049195821636738066, -0.20728676621658132, 0.40858489194328024, 0.05821418547138725, 0.19607341900160632, 0.02950814612012971, 0.23778786791906184, -0.0036421966518169827, 0.07285302586507858, 0.018820625509029812, 0.1917751965439427, 0.11296993455388728, 0.07164851784617304, -0.2933762719729896, 0.12113662418362099, 0.10412680309688307] |
708.2084 | Empirical entropy in context | We trace the history of empirical entropy, touching briefly on its relation
to Markov processes, normal numbers, Shannon entropy, the Chomsky hierarchy,
Kolmogorov complexity, Ziv-Lempel compression, de Bruijn sequences and
stochastic complexity.
| cs.IT math.IT | we trace the history of empirical entropy touching briefly on its relation to markov processes normal numbers shannon entropy the chomsky hierarchy kolmogorov complexity zivlempel compression de bruijn sequences and stochastic complexity | [['we', 'trace', 'the', 'history', 'of', 'empirical', 'entropy', 'touching', 'briefly', 'on', 'its', 'relation', 'to', 'markov', 'processes', 'normal', 'numbers', 'shannon', 'entropy', 'the', 'chomsky', 'hierarchy', 'kolmogorov', 'complexity', 'zivlempel', 'compression', 'de', 'bruijn', 'sequences', 'and', 'stochastic', 'complexity']] | [-0.14148464231120964, 0.15469262139090606, -0.117803746594056, 0.2799679235585274, -0.10298526438794309, -0.0944580202471585, 0.1456123023864723, 0.25007715400668884, -0.43065992310162515, -0.23000711118502, 0.080498491128486, -0.3233436668712285, -0.13250398167198704, 0.14024395748011528, -0.1499105371654995, 0.133593290111035, -0.001816312136549142, 0.08255871463446848, -0.04381488301160355, -0.29283280793817773, 0.3054155648851226, 0.12073042454017748, 0.3474622256227679, -0.10213094556163396, 0.09948625487665977, -0.027981364724015998, -0.06442648349630256, 0.004416085419154937, -0.2258720230611582, 0.12083373750529942, 0.2587877677813653, 0.32382576220158127, 0.23820288238986845, -0.3875102330479891, -0.15316694812668907, 0.12593492661272326, 0.11096120884007353, 0.058385197704117146, -0.00048226910087490274, -0.24346768261203844, -0.019831948162567233, -0.1703314924192044, 0.0011597358952126196, -0.006035274285222253, 0.047736112328787, 0.034826851059352196, -0.12803279506343027, 0.16186150608043517, 0.13128533028066158, 0.05634970984031116, -0.0004239136863860392, -0.12218958934799078, -0.020236418973053654, 0.04666409094727809, 0.031712587261872906, -0.05277959515731181, 0.11288172791002228, -0.04287076574720202, -0.1846448056580078, 0.21254544636054384, -0.08631033791349299, -0.1859567082457004, 0.2148815482073734, -0.13101759441797772, -0.21742481516013223, 0.10346280981696421, 0.09822047495793912, 0.03415252556723933, -0.08477203719197743, 0.19011090875926218, 0.03613979699871232, 0.1967143404988512, 0.20832389481966535, 0.06081701875213654, 0.14320608241964253, 0.1144382956047212, 0.004369300339491137, 0.1937636518550496, 0.0001805713174924735, -0.2551090824267557, -0.24405404372561362, -0.26394948723816103, -0.2070076142347628, 0.05422180398337303, -0.2234063677695362, -0.27899326324827156, 0.28649314227063327, 0.10105327913357366, 0.14057143735549144, 0.2487504423686093, 0.24641142527182255, 0.12157741588570418, -0.07107513274381598, 0.07630745988459356, 0.04915482719098368, 0.26994244751310154, 0.14905981168210988, -0.26523659594597354, 0.10170815423912098, 0.25829566525475633] |
708.2085 | A hyperbolic approach to exp_3(S^1) | In this paper we investigate a new geometric method of studying exp_k(S^1),
the set of all non-empty subsets of the circle of cardinality at most k. By
considering the circle as the boundary of the hyperbolic plane we are able to
use its group of isometries to determine explicitely the structure of its first
few configuration spaces. We then study how these configuration spaces fit
together in their union, exp_3(S^1), to reprove an old theorem of Bott as well
as to offer a new proof (following that of E. Shchepin) of the fact that the
embedding exp_1(S^1) into exp_3(S^1) is the trefoil knot.
| math.GT math.AT | in this paper we investigate a new geometric method of studying exp_ks1 the set of all nonempty subsets of the circle of cardinality at most k by considering the circle as the boundary of the hyperbolic plane we are able to use its group of isometries to determine explicitely the structure of its first few configuration spaces we then study how these configuration spaces fit together in their union exp_3s1 to reprove an old theorem of bott as well as to offer a new proof following that of e shchepin of the fact that the embedding exp_1s1 into exp_3s1 is the trefoil knot | [['in', 'this', 'paper', 'we', 'investigate', 'a', 'new', 'geometric', 'method', 'of', 'studying', 'exp_ks1', 'the', 'set', 'of', 'all', 'nonempty', 'subsets', 'of', 'the', 'circle', 'of', 'cardinality', 'at', 'most', 'k', 'by', 'considering', 'the', 'circle', 'as', 'the', 'boundary', 'of', 'the', 'hyperbolic', 'plane', 'we', 'are', 'able', 'to', 'use', 'its', 'group', 'of', 'isometries', 'to', 'determine', 'explicitely', 'the', 'structure', 'of', 'its', 'first', 'few', 'configuration', 'spaces', 'we', 'then', 'study', 'how', 'these', 'configuration', 'spaces', 'fit', 'together', 'in', 'their', 'union', 'exp_3s1', 'to', 'reprove', 'an', 'old', 'theorem', 'of', 'bott', 'as', 'well', 'as', 'to', 'offer', 'a', 'new', 'proof', 'following', 'that', 'of', 'e', 'shchepin', 'of', 'the', 'fact', 'that', 'the', 'embedding', 'exp_1s1', 'into', 'exp_3s1', 'is', 'the', 'trefoil', 'knot']] | [-0.13629560052144407, 0.055197802020825984, -0.10172903298804856, 0.05751051238239414, -0.099041673858095, -0.0766362434234282, 0.06500254143052969, 0.3507996713977796, -0.3199510743919139, -0.2730094837777392, 0.12275424472413807, -0.24888787809124385, -0.13128588453988838, 0.19849763516421345, -0.12249919375160126, -0.019661233487604846, 0.030217687706368967, 0.0695610062896528, -0.05926427572043707, -0.26030240477900013, 0.39443293052038764, -0.011807661701106665, 0.17792209236402856, 0.04950321052867844, 0.09237118352750184, 0.01009252198473221, -0.018334288355856758, 0.02390649630993868, -0.16173594141678269, 0.1611819762426118, 0.22284793568953795, 0.14517468200864816, 0.2226123907368141, -0.38622114553370257, -0.15945535340826167, 0.1386634956367991, 0.1524926919838169, 0.018190693686424633, 0.004584864880231143, -0.27330084733025295, 0.1166110136365398, -0.1294003649040906, -0.18954863807543962, -0.09129948564099544, 0.0361126937310804, 0.02288836636580527, -0.16132266216998392, -0.03731141204597673, 0.1089758033960625, 0.044277346281410015, -0.07197101060489211, -0.09706330522330421, -0.052799133155871224, 0.16282044267375964, 0.04884838688450706, 0.05636139458863798, 0.05497783516072715, -0.0507698824060046, -0.12487633781733387, 0.40354016562453426, -0.05420945196958127, -0.19376104690999996, 0.14321285772203196, -0.16598079434473706, -0.17728209699682815, 0.10412801681744932, 0.1551199469767097, 0.1353729021443863, -0.10712905852841402, 0.10611079962961752, -0.14353170127442078, 0.0954313779630783, 0.09962300270927524, 0.020096991023029944, 0.1583802329442191, 0.14391176589774063, 0.10663885213058404, 0.1785104236932415, -0.042685099719844834, -0.03539862139785493, -0.3491619610500456, -0.19370427713117966, -0.17242953622233914, 0.07878454247339055, -0.09763252999953399, -0.19314461030216531, 0.41439132072558305, 0.10591992276786553, 0.22737917808270214, 0.07100485261844829, 0.24982665091602488, 0.02865974333991574, 0.03056610784154724, 0.055351519204600894, 0.17564279157339097, 0.1661366653097135, -0.007872199898378717, -0.15877439205845198, -0.03807677841049177, 0.16544136667454784] |
708.2086 | Correlation between $T_c$ and anisotropic scattering in
Tl$_2$Ba$_2$CuO$_{6+\delta}$ | Angle-dependent magnetoresistance measurements are used to determine the
isotropic and anisotropic components of the transport scattering rate in
overdoped Tl$_2$Ba$_2$CuO$_{6+\delta}$ for a range of $T_c$ values between 15K
and 35K. The size of the anisotropic scattering term is found to scale linearly
with $T_c$, establishing a link between the superconducting and normal state
physics. Comparison with results from angle resolved photoemission spectroscopy
indicates that the transport and quasiparticle lifetimes are distinct.
| cond-mat.supr-con cond-mat.str-el | angledependent magnetoresistance measurements are used to determine the isotropic and anisotropic components of the transport scattering rate in overdoped tl_2ba_2cuo_6delta for a range of t_c values between 15k and 35k the size of the anisotropic scattering term is found to scale linearly with t_c establishing a link between the superconducting and normal state physics comparison with results from angle resolved photoemission spectroscopy indicates that the transport and quasiparticle lifetimes are distinct | [['angledependent', 'magnetoresistance', 'measurements', 'are', 'used', 'to', 'determine', 'the', 'isotropic', 'and', 'anisotropic', 'components', 'of', 'the', 'transport', 'scattering', 'rate', 'in', 'overdoped', 'tl_2ba_2cuo_6delta', 'for', 'a', 'range', 'of', 't_c', 'values', 'between', '15k', 'and', '35k', 'the', 'size', 'of', 'the', 'anisotropic', 'scattering', 'term', 'is', 'found', 'to', 'scale', 'linearly', 'with', 't_c', 'establishing', 'a', 'link', 'between', 'the', 'superconducting', 'and', 'normal', 'state', 'physics', 'comparison', 'with', 'results', 'from', 'angle', 'resolved', 'photoemission', 'spectroscopy', 'indicates', 'that', 'the', 'transport', 'and', 'quasiparticle', 'lifetimes', 'are', 'distinct']] | [-0.14465230521352462, 0.24989020524703912, -0.067895977659492, 0.0156087509215429, -0.05347575268931162, -0.1503985476660424, 0.07627346515524346, 0.3947757101079947, -0.29056540826781535, -0.3117328584522114, 0.002342446698990821, -0.38343083888659596, -0.04800278895442754, 0.2295111104703351, 0.09972009797331313, 0.03319186602352666, -0.03623461476068052, -0.06044648613938144, -0.15419565959387577, -0.17504663266976114, 0.32944552297048063, 0.04029350125716186, 0.3353226446008808, 0.11734505595875458, 0.03420833935042922, 0.004055339637258366, 0.037620658468140264, 0.04446532413310988, -0.18872768920241662, 0.028730537624321352, 0.31221078045036593, -0.12526788520561138, 0.10120285583109083, -0.35921465833736976, -0.21436807200391317, -0.0024571751283717826, 0.1297509182821697, 0.09640995078903794, -0.04194999249770083, -0.22736568984077116, 0.0189784663076788, -0.08828245936630583, -0.12152830079775041, -0.08862087085292163, -0.014243942803480255, -0.011954221717068846, -0.2704431873838037, 0.18369178614057732, -0.02133611383401907, 0.0779109012702821, -0.09967016916669591, -0.14917160978567012, -0.03006471871909961, 0.07349376213854887, 0.0895100162843321, 0.04500995712800765, 0.11366246866831281, -0.11632256618451695, -0.07496117691601246, 0.2896704133075308, -0.06801562179798182, -0.04890246977898437, 0.1616729858370734, -0.21976365909819873, -0.013886905636008777, 0.17422094902443425, 0.09800488605413218, 0.0920104685003384, -0.135462786700629, 0.03983792946608344, -0.027395525632399907, 0.22033177007934157, 0.0524076505131285, 0.09063834440566494, 0.21903351557926393, 0.18504663281352587, -0.00564925481893637, 0.06632674258845059, -0.18823826960025644, -0.036594225106839566, -0.24220464622575633, -0.13205249858429838, -0.18662017018494892, 0.09411932891365928, -0.08872160890621697, -0.16298864055162585, 0.34626685131446155, 0.13386653898887232, 0.2612926854266667, 0.011926028582359284, 0.22283076439839852, 0.1114722100860426, 0.06417213981023426, 0.09075363118752418, 0.27052185710676957, 0.21198124351950598, 0.14261235978821635, -0.34735462939510986, 0.10200583581274873, -0.03622163463593789] |
708.2087 | A version of the proof for Peres-Schlag's theorem on lacunary sequences | We present a proof of a multidimensional version of Peres-Schlag's theorem on
Diophantine approximations with lacunary sequences.
| math.NT | we present a proof of a multidimensional version of peresschlags theorem on diophantine approximations with lacunary sequences | [['we', 'present', 'a', 'proof', 'of', 'a', 'multidimensional', 'version', 'of', 'peresschlags', 'theorem', 'on', 'diophantine', 'approximations', 'with', 'lacunary', 'sequences']] | [-0.21034663647194118, -0.05738256581346778, -0.19898094236850739, 0.1299097437192412, -0.06147989060948877, -0.08902494540876325, 0.10975347770213642, 0.2650422217214809, -0.23998593670480392, -0.18251646244350603, 0.15449735388050184, -0.22126512174658916, -0.14757533239967682, 0.28468746954903884, -0.18219927840811365, 0.06953675267012681, 0.1395669156575904, -0.034351198331398124, -0.09564213662901346, -0.26656519840745363, 0.35180654420572166, -0.1024282539044233, 0.1567750369910808, 0.019259452600689494, 0.15456916600027504, 0.07972798734793768, -0.06762877621633165, -0.08233222453033223, -0.21365536804146626, 0.2041822324561722, 0.22374817487948082, 0.09863765973269063, 0.3628720010028166, -0.3182050568215987, -0.07298503114896662, 0.12965938084936865, 0.12519093805595355, 0.09481029343955658, -0.08714684190036838, -0.2877122575745863, 0.1083821884197224, -0.08769687232287492, -0.20764753573081074, -0.13447561394423246, -0.04503654663944069, 0.17942291717318928, -0.30433033976484747, 0.0911020772285102, 0.21592690954532692, 0.16631070475148804, -0.06077232157044551, -0.09109335721415632, 0.18108751696041403, -0.05104396963382468, 0.019956905723494643, 0.01704336061854573, -0.028115371872177896, 0.04292850985246546, -0.17303241449682152, 0.36424410211689334, -0.09931166157783831, -0.2869155340115814, 0.09703810732154285, -0.12435337024576523, -0.3024728948469548, 0.07501120065503261, 0.14920539370573618, 0.16409573660177343, -0.03867414210210828, 0.14858703137211063, -0.20551927760243416, 0.21602973210461, 0.1767969178583692, 0.04324892705635113, 0.08409340060589944, 0.11892177515170153, 0.06489148319644086, 0.1907369277494795, 0.053925937986658776, -0.0593800320125678, -0.3077829576590482, -0.1260886599364526, -0.20838696327443948, 0.19340610372669556, -0.15990983596181169, -0.33749640601522785, 0.3602473836611299, 0.04959813809460577, 0.06270319431581918, 0.25882027709089656, 0.24364880581989007, 0.15499696294393608, -0.0274044294937459, 0.05251385096241446, 0.018758750876740497, 0.28410727475934167, 0.10056543703574468, -0.01046005483059322, -0.0213320777641938, 0.3460710180156371] |
708.2088 | Insulator to semiconductor transition and magnetic properties of the
one-dimensional S = 1/2 system In_2VO_5 | We report structural, magnetization, electrical resistivity and nuclear- and
electron spin resonance data of the complex transition metal oxide In_2VO_5 in
which structurally well-defined V-O chains are realized. An itinerant character
of the vanadium d-electrons and ferromagnetic correlations, revealed at high
temperatures, are contrasted with the insulating behavior and predominantly
antiferromagnetic exchange between the localized V^{4+} S = 1/2-magnetic
moments which develop below a certain characteristic temperature T* ~ 120 K.
Eventually the compound exhibits short-range magnetic order at $T_SRO ~ 20 K.
We attribute this crossover occurring around T* to the unusual anisotropic
thermal contraction of the lattice which changes significantly the overlap
integrals and the character of magnetic intra- and interchain interactions.
| cond-mat.str-el cond-mat.mtrl-sci | we report structural magnetization electrical resistivity and nuclear and electron spin resonance data of the complex transition metal oxide in_2vo_5 in which structurally welldefined vo chains are realized an itinerant character of the vanadium delectrons and ferromagnetic correlations revealed at high temperatures are contrasted with the insulating behavior and predominantly antiferromagnetic exchange between the localized v4 s 12magnetic moments which develop below a certain characteristic temperature t 120 k eventually the compound exhibits shortrange magnetic order at t_sro 20 k we attribute this crossover occurring around t to the unusual anisotropic thermal contraction of the lattice which changes significantly the overlap integrals and the character of magnetic intra and interchain interactions | [['we', 'report', 'structural', 'magnetization', 'electrical', 'resistivity', 'and', 'nuclear', 'and', 'electron', 'spin', 'resonance', 'data', 'of', 'the', 'complex', 'transition', 'metal', 'oxide', 'in_2vo_5', 'in', 'which', 'structurally', 'welldefined', 'vo', 'chains', 'are', 'realized', 'an', 'itinerant', 'character', 'of', 'the', 'vanadium', 'delectrons', 'and', 'ferromagnetic', 'correlations', 'revealed', 'at', 'high', 'temperatures', 'are', 'contrasted', 'with', 'the', 'insulating', 'behavior', 'and', 'predominantly', 'antiferromagnetic', 'exchange', 'between', 'the', 'localized', 'v4', 's', '12magnetic', 'moments', 'which', 'develop', 'below', 'a', 'certain', 'characteristic', 'temperature', 't', '120', 'k', 'eventually', 'the', 'compound', 'exhibits', 'shortrange', 'magnetic', 'order', 'at', 't_sro', '20', 'k', 'we', 'attribute', 'this', 'crossover', 'occurring', 'around', 't', 'to', 'the', 'unusual', 'anisotropic', 'thermal', 'contraction', 'of', 'the', 'lattice', 'which', 'changes', 'significantly', 'the', 'overlap', 'integrals', 'and', 'the', 'character', 'of', 'magnetic', 'intra', 'and', 'interchain', 'interactions']] | [-0.21619975634790753, 0.296006224482505, -0.0021418317187996156, 0.03701035134865979, -0.01928031068175621, -0.16197874321422856, 0.09359161945384577, 0.4048141718867722, -0.3046693357023829, -0.284469299997767, -0.02071665802974801, -0.3684464514238435, -0.07453406076886854, 0.08993761264078251, 0.15161171551246982, -0.06767197800031223, -0.060545182607452806, 0.02503921813491749, -0.13526866730268394, -0.19371458019958723, 0.2581235845017871, 0.0025294464671078627, 0.27958058830726584, 0.12224475499413429, 0.02708005523330472, -0.005787325980261378, 0.1531374828992497, 0.004546974127719162, -0.1385927336726235, 0.062176003449325716, 0.27821106239811544, -0.17310143116041335, 0.15511481281796602, -0.41956941596309255, -0.16676198488951516, 0.0005645151271424983, 0.1300899388542006, 0.08739530540887402, -0.036947984450257494, -0.2928740343745422, 0.02316855778490458, -0.12333166242978714, -0.10821768677411088, -0.1425665757285619, -0.0006142179588488209, -0.01855521943257831, -0.28020969274188945, 0.16407867086145583, 0.1281968422678359, 0.1789797831010586, -0.10151847183636022, -0.15409747417588984, -0.09626303568755815, 0.056506165845849374, 0.050250660062024215, 0.07623897850462193, 0.185553191298055, -0.08723721195518577, -0.06675608579492316, 0.3063978209852352, -0.04923951168066113, 0.0076037758209426464, 0.21627242489367587, -0.23674281484900264, -0.08228736697192039, 0.24068370076545745, 0.08711641573201899, 0.07904448427677523, -0.14814039017020408, 0.06604237441046146, 0.05713295521975042, 0.17795638876129796, 0.028016232255282342, 0.0747427244140946, 0.2537246188031373, 0.1578672679841792, -0.00015657235774288483, 0.14617678996948782, -0.13692261785730173, -0.06882365795553004, -0.180259696293383, -0.140967037308739, -0.20609544947264938, 0.05826942661110688, -0.11940290485300474, -0.20482498481698813, 0.3752413563293601, 0.14945929488508936, 0.2118790957504251, -0.0772634861096868, 0.18386353852351223, 0.07521946379624375, 0.06102771213312352, 0.04580627480274015, 0.19283463119811148, 0.19956741712286796, 0.15134655539621386, -0.32674810662011217, 0.10892631974521973, 0.003588389870155295] |
708.2089 | Feasibility of acoustic neutrino detection in ice: First results from
the South Pole Acoustic Test Setup (SPATS) | Astrophysical neutrinos in the EeV range (particularly those generated by the
interaction of cosmic rays with the cosmic microwave background) promise to be
a valuable tool to study astrophysics and particle physics at the highest
energies. Much could be learned from temporal, spectral, and angular
distributions of ~100 events, which could be collected by a detector with ~100
km^3 effective volume in a few years. Scaling the optical Cherenkov technique
to this scale is prohibitive. However, using the thick ice sheet available at
the South Pole, the radio and acoustic techniques promise to provide sufficient
sensitivity with sparse instrumentation. The best strategy may be a hybrid
approach combining all three techniques. A new array of acoustic transmitters
and sensors, the South Pole Acoustic Test Setup, was installed in three IceCube
holes in January 2007. The purpose of SPATS is to measure the attenuation
length, background noise, and sound speed for 10-100 kHz acoustic waves.
Favorable results would pave the way for a large hybrid array. SPATS is the
first array to study the possibility of acoustic neutrino detection in ice, the
medium expected to be best for the purpose. First results from SPATS are
presented.
| astro-ph | astrophysical neutrinos in the eev range particularly those generated by the interaction of cosmic rays with the cosmic microwave background promise to be a valuable tool to study astrophysics and particle physics at the highest energies much could be learned from temporal spectral and angular distributions of 100 events which could be collected by a detector with 100 km3 effective volume in a few years scaling the optical cherenkov technique to this scale is prohibitive however using the thick ice sheet available at the south pole the radio and acoustic techniques promise to provide sufficient sensitivity with sparse instrumentation the best strategy may be a hybrid approach combining all three techniques a new array of acoustic transmitters and sensors the south pole acoustic test setup was installed in three icecube holes in january 2007 the purpose of spats is to measure the attenuation length background noise and sound speed for 10100 khz acoustic waves favorable results would pave the way for a large hybrid array spats is the first array to study the possibility of acoustic neutrino detection in ice the medium expected to be best for the purpose first results from spats are presented | [['astrophysical', 'neutrinos', 'in', 'the', 'eev', 'range', 'particularly', 'those', 'generated', 'by', 'the', 'interaction', 'of', 'cosmic', 'rays', 'with', 'the', 'cosmic', 'microwave', 'background', 'promise', 'to', 'be', 'a', 'valuable', 'tool', 'to', 'study', 'astrophysics', 'and', 'particle', 'physics', 'at', 'the', 'highest', 'energies', 'much', 'could', 'be', 'learned', 'from', 'temporal', 'spectral', 'and', 'angular', 'distributions', 'of', '100', 'events', 'which', 'could', 'be', 'collected', 'by', 'a', 'detector', 'with', '100', 'km3', 'effective', 'volume', 'in', 'a', 'few', 'years', 'scaling', 'the', 'optical', 'cherenkov', 'technique', 'to', 'this', 'scale', 'is', 'prohibitive', 'however', 'using', 'the', 'thick', 'ice', 'sheet', 'available', 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708.209 | The Product Space Conditions the Development of Nations | Economies grow by upgrading the type of products they produce and export. The
technology, capital, institutions and skills needed to make such new products
are more easily adapted from some products than others. We study the network of
relatedness between products, or product space, finding that most upscale
products are located in a densely connected core while lower income products
occupy a less connected periphery. We show that countries tend to move to goods
close to those they are currently specialized in, allowing nations located in
more connected parts of the product space to upgrade their exports basket more
quickly. Most countries can reach the core only if they jump over empirically
infrequent distances in the product space. This may help explain why poor
countries have trouble developing more competitive exports, failing to converge
to the income levels of rich countries.
| q-fin.GN physics.data-an | economies grow by upgrading the type of products they produce and export the technology capital institutions and skills needed to make such new products are more easily adapted from some products than others we study the network of relatedness between products or product space finding that most upscale products are located in a densely connected core while lower income products occupy a less connected periphery we show that countries tend to move to goods close to those they are currently specialized in allowing nations located in more connected parts of the product space to upgrade their exports basket more quickly most countries can reach the core only if they jump over empirically infrequent distances in the product space this may help explain why poor countries have trouble developing more competitive exports failing to converge to the income levels of rich countries | [['economies', 'grow', 'by', 'upgrading', 'the', 'type', 'of', 'products', 'they', 'produce', 'and', 'export', 'the', 'technology', 'capital', 'institutions', 'and', 'skills', 'needed', 'to', 'make', 'such', 'new', 'products', 'are', 'more', 'easily', 'adapted', 'from', 'some', 'products', 'than', 'others', 'we', 'study', 'the', 'network', 'of', 'relatedness', 'between', 'products', 'or', 'product', 'space', 'finding', 'that', 'most', 'upscale', 'products', 'are', 'located', 'in', 'a', 'densely', 'connected', 'core', 'while', 'lower', 'income', 'products', 'occupy', 'a', 'less', 'connected', 'periphery', 'we', 'show', 'that', 'countries', 'tend', 'to', 'move', 'to', 'goods', 'close', 'to', 'those', 'they', 'are', 'currently', 'specialized', 'in', 'allowing', 'nations', 'located', 'in', 'more', 'connected', 'parts', 'of', 'the', 'product', 'space', 'to', 'upgrade', 'their', 'exports', 'basket', 'more', 'quickly', 'most', 'countries', 'can', 'reach', 'the', 'core', 'only', 'if', 'they', 'jump', 'over', 'empirically', 'infrequent', 'distances', 'in', 'the', 'product', 'space', 'this', 'may', 'help', 'explain', 'why', 'poor', 'countries', 'have', 'trouble', 'developing', 'more', 'competitive', 'exports', 'failing', 'to', 'converge', 'to', 'the', 'income', 'levels', 'of', 'rich', 'countries']] | [-0.048865524117326274, 0.1486019558068497, -0.052157959387247974, 0.156048933264522, -0.1067139128295718, -0.13911685684253297, 0.08101942001822147, 0.4299299239927361, -0.269208628071657, -0.29443480619163326, 0.12818124557759428, -0.316417407779459, -0.08806786120453096, 0.20140530473588972, -0.15006291283069983, -0.09520706960168529, 0.10530247768562234, 0.03253019563292305, -0.003747828809234003, -0.3372398266000739, 0.31567170974923997, 0.053007604210829055, 0.28834799597872063, -0.014360355135880689, -0.023125379317413673, -0.08590072114350843, -0.06479605311257038, 0.02077819367871514, -0.06448909776264238, 0.21770809532443708, 0.3555053157454475, 0.1781404002417698, 0.3447090517795572, -0.4900689526916818, -0.10601327712284335, 0.18997622712627582, 0.14431413045113392, -0.008515192220542343, 0.03998168411372388, -0.26616575269867393, 0.04482415332359836, -0.27841054157730427, -0.12526848123917447, -0.10359948722923056, 0.007670821341296249, 0.025571644693821113, -0.18690098705206146, 0.024333837392561612, -0.035268289730586905, 0.008652898945337068, -0.015786441482260084, -0.15316697144682737, -0.09441417682228993, 0.2285891887484158, 0.053553964248329984, -0.03265729862767278, 0.16460435033663579, -0.14697482491552777, -0.06859933172108222, 0.347887623437568, 0.031150489128570415, -0.15298610657836634, 0.2638902537828536, -0.2114156589163005, -0.13801488462350073, 0.1330957774680557, 0.21290793734708313, 0.057593040366439106, -0.1399036183769993, -0.021391572131022336, -0.010935225074859799, 0.120849188826714, 0.14066949992396055, -0.009066160471039884, 0.2150097533941586, 0.14715956045142936, 0.16524996084213944, 0.07195120528736647, 0.001011782669270715, -0.14142291124493994, -0.19567556251897245, -0.17032653246907162, -0.10119304309288661, 0.01812200695325799, -0.08901038436703747, -0.15063746558528737, 0.32619568765995666, 0.10049086554778462, 0.14087581962796178, 0.06490474902151205, 0.25616360111872116, -0.0026272980674625713, 0.17893408559731716, 0.15557112493915548, 0.18219249337644924, 0.04834272186205795, 0.15733911256646038, -0.043321547625216505, 0.15771908506318424, -0.0016421229274718896] |
708.2091 | Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission
line | We study theoretically electron spins in nanowire quantum dots placed inside
a transmission line resonator. Because of the spin-orbit interaction, the spins
couple to the electric component of the resonator electromagnetic field and
enable coherent manipulation, storage, and read-out of quantum information in
an all-electrical fashion. Coupling between distant quantum-dot spins, in one
and the same or different nanowires, can be efficiently performed via the
resonator mode either in real time or through virtual processes. For the latter
case we derive an effective spin-entangling interaction and suggest means to
turn it on and off. We consider both transverse and longitudinal types of
nanowire quantum-dots and compare their manipulation timescales against the
spin relaxation times. For this, we evaluate the rates for spin relaxation
induced by the nanowire vibrations (phonons) and show that, as a result of
phonon confinement in the nanowire, this rate is a strongly varying function of
the spin operation frequency and thus can be drastically reduced compared to
lateral quantum dots in GaAs. Our scheme is a step forward to the formation of
hybrid structures where qubits of different nature can be integrated in a
single device.
| cond-mat.mes-hall | we study theoretically electron spins in nanowire quantum dots placed inside a transmission line resonator because of the spinorbit interaction the spins couple to the electric component of the resonator electromagnetic field and enable coherent manipulation storage and readout of quantum information in an allelectrical fashion coupling between distant quantumdot spins in one and the same or different nanowires can be efficiently performed via the resonator mode either in real time or through virtual processes for the latter case we derive an effective spinentangling interaction and suggest means to turn it on and off we consider both transverse and longitudinal types of nanowire quantumdots and compare their manipulation timescales against the spin relaxation times for this we evaluate the rates for spin relaxation induced by the nanowire vibrations phonons and show that as a result of phonon confinement in the nanowire this rate is a strongly varying function of the spin operation frequency and thus can be drastically reduced compared to lateral quantum dots in gaas our scheme is a step forward to the formation of hybrid structures where qubits of different nature can be integrated in a single device | [['we', 'study', 'theoretically', 'electron', 'spins', 'in', 'nanowire', 'quantum', 'dots', 'placed', 'inside', 'a', 'transmission', 'line', 'resonator', 'because', 'of', 'the', 'spinorbit', 'interaction', 'the', 'spins', 'couple', 'to', 'the', 'electric', 'component', 'of', 'the', 'resonator', 'electromagnetic', 'field', 'and', 'enable', 'coherent', 'manipulation', 'storage', 'and', 'readout', 'of', 'quantum', 'information', 'in', 'an', 'allelectrical', 'fashion', 'coupling', 'between', 'distant', 'quantumdot', 'spins', 'in', 'one', 'and', 'the', 'same', 'or', 'different', 'nanowires', 'can', 'be', 'efficiently', 'performed', 'via', 'the', 'resonator', 'mode', 'either', 'in', 'real', 'time', 'or', 'through', 'virtual', 'processes', 'for', 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708.2092 | Spin Valve Effect in Self-exchange Biased Ferromagnetic
Metal/Semiconductor Bilayers | We report magnetization and magetoresistance measurements in hybrid
ferromagnetic metal/semiconductor heterostructures comprised of MnAs/(Ga,Mn)As
bilayers. Our measurements show that the (metallic) MnAs and (semiconducting)
(Ga,Mn)As layers are exchange coupled, re- sulting in an exchange biasing of
the magnetically softer (Ga,Mn)As layer that weakens with layer thickness.
Magnetoresistance measurements in the current-perpendicular-to-the-plane
geometry show a spin valve effect in these self-exchange biased bilayers.
Similar measurements in MnAs/p- GaAs/(Ga,Mn)As trilayers show that the exchange
coupling diminishes with spatial separation between the layers.
| cond-mat.mtrl-sci | we report magnetization and magetoresistance measurements in hybrid ferromagnetic metalsemiconductor heterostructures comprised of mnasgamnas bilayers our measurements show that the metallic mnas and semiconducting gamnas layers are exchange coupled re sulting in an exchange biasing of the magnetically softer gamnas layer that weakens with layer thickness magnetoresistance measurements in the currentperpendiculartotheplane geometry show a spin valve effect in these selfexchange biased bilayers similar measurements in mnasp gaasgamnas trilayers show that the exchange coupling diminishes with spatial separation between the layers | [['we', 'report', 'magnetization', 'and', 'magetoresistance', 'measurements', 'in', 'hybrid', 'ferromagnetic', 'metalsemiconductor', 'heterostructures', 'comprised', 'of', 'mnasgamnas', 'bilayers', 'our', 'measurements', 'show', 'that', 'the', 'metallic', 'mnas', 'and', 'semiconducting', 'gamnas', 'layers', 'are', 'exchange', 'coupled', 're', 'sulting', 'in', 'an', 'exchange', 'biasing', 'of', 'the', 'magnetically', 'softer', 'gamnas', 'layer', 'that', 'weakens', 'with', 'layer', 'thickness', 'magnetoresistance', 'measurements', 'in', 'the', 'currentperpendiculartotheplane', 'geometry', 'show', 'a', 'spin', 'valve', 'effect', 'in', 'these', 'selfexchange', 'biased', 'bilayers', 'similar', 'measurements', 'in', 'mnasp', 'gaasgamnas', 'trilayers', 'show', 'that', 'the', 'exchange', 'coupling', 'diminishes', 'with', 'spatial', 'separation', 'between', 'the', 'layers']] | [-0.22585330026845138, 0.21403527918756785, 0.03375672491577764, -0.06820120131713338, -0.022615023314331968, -0.19161117430155475, 0.03579940887478491, 0.4448843391115467, -0.2778375846023361, -0.317930830642581, -0.0950935537321493, -0.3775684069469571, -0.11691668137907982, 0.17912900480131308, 0.08718398179858923, -0.07202930504407656, 0.01386534133926034, -0.15179315666357676, -0.10070666101140281, -0.17024670471747716, 0.2600157109228894, -0.03761611527452866, 0.3598191891113917, 0.10582539464036624, 0.024713968243449926, 0.02724457170193394, 0.19377230538676182, 0.05327265633891026, -0.16563974554175123, 0.025197050335506597, 0.24837168715894223, -0.28445714680012313, 0.15721673276158982, -0.5193799509604772, -0.17911581827327608, -0.10987169157713651, 0.13110734824712078, 0.12587121550459415, -0.10307785209268332, -0.25178530213733513, 0.0714931137735645, -0.12898897572110096, 0.006821651794016361, -0.054876176932205756, -0.08437729544161508, -0.008380863008399804, -0.27062911810974283, 0.13872967671292524, 0.10913384293516477, 0.10480288424606746, -0.10264751766847136, -0.16696144336213667, -0.15551242775283755, 0.020152260630081097, 0.05370048777510723, 0.038092688713222744, 0.2190200541727245, -0.09123432141418258, -0.12676667377973597, 0.18717258388797442, -0.07523438579092423, -0.09236766166985035, 0.14567655806119242, -0.22394003168369334, -0.03402413163256521, 0.06021493030091127, 0.12378792176644007, 0.13604116525501012, -0.14138792996605237, 0.05050567589545001, -0.00723105338246872, 0.27530713931967815, 0.034637252942969404, 0.05917021347209811, 0.2567215813199679, 0.24643864271541435, 0.03921159451827407, 0.1628532472004493, -0.16198315765708685, -0.02035908233374357, -0.1461432080746939, -0.1995239923025171, -0.2092147099475066, 0.08543343556423982, -0.12172777257820902, -0.2227530346934994, 0.35528068417062364, 0.19987056369582812, 0.17949050704638164, -0.07629198864723245, 0.292024983416001, 0.027175942549171547, 0.12829988514383633, 0.021062309990326565, 0.33151670038700104, 0.23869678276280562, 0.17019818065067133, -0.2772604407866796, 0.1515304560462634, -0.08643152205273509] |
708.2093 | The neutrino emission due to plasmon decay and neutrino luminosity of
white dwarfs | One of the effective mechanisms of neutrino energy losses in red giants,
presupernovae and in the cores of white dwarfs is the emission of
neutrino-antineutrino pairs in the process of plasmon decay. In this paper, we
numerically calculate the emissivity due to plasmon decay in a wide range of
temperatures (10^7-10^11) K and densities (200-10^14) g cm^-3. Numerical
results are approximated by convenient analytical expressions. We also
calculate and approximate by analytical expressions the neutrino luminosity of
white dwarfs due to plasmon decay, as a function of their mass and internal
temperature. This neutrino luminosity depends on the chemical composition of
white dwarfs only through the parameter mu_e (the net number of baryons per
electron) and is the dominant neutrino luminosity in all white dwarfs at the
neutrino cooling stage.
| astro-ph | one of the effective mechanisms of neutrino energy losses in red giants presupernovae and in the cores of white dwarfs is the emission of neutrinoantineutrino pairs in the process of plasmon decay in this paper we numerically calculate the emissivity due to plasmon decay in a wide range of temperatures 1071011 k and densities 2001014 g cm3 numerical results are approximated by convenient analytical expressions we also calculate and approximate by analytical expressions the neutrino luminosity of white dwarfs due to plasmon decay as a function of their mass and internal temperature this neutrino luminosity depends on the chemical composition of white dwarfs only through the parameter mu_e the net number of baryons per electron and is the dominant neutrino luminosity in all white dwarfs at the neutrino cooling stage | [['one', 'of', 'the', 'effective', 'mechanisms', 'of', 'neutrino', 'energy', 'losses', 'in', 'red', 'giants', 'presupernovae', 'and', 'in', 'the', 'cores', 'of', 'white', 'dwarfs', 'is', 'the', 'emission', 'of', 'neutrinoantineutrino', 'pairs', 'in', 'the', 'process', 'of', 'plasmon', 'decay', 'in', 'this', 'paper', 'we', 'numerically', 'calculate', 'the', 'emissivity', 'due', 'to', 'plasmon', 'decay', 'in', 'a', 'wide', 'range', 'of', 'temperatures', '1071011', 'k', 'and', 'densities', '2001014', 'g', 'cm3', 'numerical', 'results', 'are', 'approximated', 'by', 'convenient', 'analytical', 'expressions', 'we', 'also', 'calculate', 'and', 'approximate', 'by', 'analytical', 'expressions', 'the', 'neutrino', 'luminosity', 'of', 'white', 'dwarfs', 'due', 'to', 'plasmon', 'decay', 'as', 'a', 'function', 'of', 'their', 'mass', 'and', 'internal', 'temperature', 'this', 'neutrino', 'luminosity', 'depends', 'on', 'the', 'chemical', 'composition', 'of', 'white', 'dwarfs', 'only', 'through', 'the', 'parameter', 'mu_e', 'the', 'net', 'number', 'of', 'baryons', 'per', 'electron', 'and', 'is', 'the', 'dominant', 'neutrino', 'luminosity', 'in', 'all', 'white', 'dwarfs', 'at', 'the', 'neutrino', 'cooling', 'stage']] | [-0.046187193818794665, 0.24234394755488795, -0.0241598891628574, 0.14400157695074664, -0.05633503604723617, -0.030199787926015464, 0.11087515406660707, 0.3773019466000472, -0.13893200416305615, -0.3202737820508002, -0.01624099613174565, -0.3158048411701308, -0.03547036497139186, 0.2128502078383237, 0.007609493387935235, 0.00399012054323919, 0.04229327861956039, -0.020692347787598566, -0.07856940258251027, -0.2353413915478213, 0.32802192055324253, 0.08527363599241936, 0.18319352727758792, 0.07321495601055465, 0.05889313366596204, -0.09253909134814992, -0.04980236133777125, -0.1209807654395122, -0.17157962860886095, -0.01713214509997719, 0.24030355951756008, 0.07601500462466317, 0.17279491941769456, -0.37538198661781097, -0.19584853449735298, 0.11097096782105491, 0.1785891677195192, 0.040712967691870855, -0.07389187161691574, -0.216708050564278, 0.0732799852375201, -0.21510479096756424, -0.14986196148043224, 0.016060820903426917, 0.056874217251640595, 0.05098018842900908, -0.28080457411417664, 0.12112234932480583, 0.02729807080350845, 0.014396865195197653, -0.09741106776289585, -0.16281404730127474, -0.0470657825773192, 0.05092583384270989, 0.07441663995810222, -0.022702096579704692, 0.17191220887272451, -0.14141102958571658, 0.005142795225215512, 0.365440106598747, -0.13617871046362287, -0.09223333589169522, 0.1654702462544737, -0.18582330469056502, -0.0235524541669518, 0.18008392559754294, 0.1866591564531243, 0.12860077198652564, -0.2042628420524068, 0.06639732748347645, 0.0021379099176951155, 0.11828673971174357, 0.07987308858482298, 0.07220628159301168, 0.3071565303677159, 0.17280424184837315, 0.035633932113243165, 0.045655698549767684, -0.18215684129047938, -0.008099229724774526, -0.28825999510135186, -0.11851037177437729, -0.165226037062654, 0.09333146567990672, -0.10778893567752562, -0.15978780414461513, 0.4083338434550308, 0.10498914896156783, 0.2203188453432779, 0.025612947431775605, 0.3365797600889391, 0.1782283291803644, 0.08385322359029579, 0.09993050343450881, 0.26693037402808895, 0.257184815670674, 0.08666288963872795, -0.3266435240814101, 0.024819031444399856, 0.026848513631207882] |
708.2094 | Search for flavor-changing-neutral-current D meson decays | We study the flavor-changing-neutral-current process c to u mu+ mu- using 1.3
fb^-1 of p p bar collisions at sqrt(s) = 1.96 TeV recorded by the D0 detector
operating at the Fermilab Tevatron Collider. We see clear indications of the
Ds+ and D+ to phi pi+ to mu+ mu- pi+ final states with significance greater
than four standard deviations above background for the D+ state. We search for
the continuum decay of D+ to pi+mu+mu- in the dimuon invariant mass spectrum
away from the phi resonance. We see no evidence of signal above background and
set a limit of B(D+ to pi+mu+mu-) < 3.9 x 10^-6 at the 90% C.L. This limit
places the most stringent constraint on new phenomena in the c to u mu+ mu-
transition.
| hep-ex | we study the flavorchangingneutralcurrent process c to u mu mu using 13 fb1 of p p bar collisions at sqrts 196 tev recorded by the d0 detector operating at the fermilab tevatron collider we see clear indications of the ds and d to phi pi to mu mu pi final states with significance greater than four standard deviations above background for the d state we search for the continuum decay of d to pimumu in the dimuon invariant mass spectrum away from the phi resonance we see no evidence of signal above background and set a limit of bd to pimumu 39 x 106 at the 90 cl this limit places the most stringent constraint on new phenomena in the c to u mu mu transition | [['we', 'study', 'the', 'flavorchangingneutralcurrent', 'process', 'c', 'to', 'u', 'mu', 'mu', 'using', '13', 'fb1', 'of', 'p', 'p', 'bar', 'collisions', 'at', 'sqrts', '196', 'tev', 'recorded', 'by', 'the', 'd0', 'detector', 'operating', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'we', 'see', 'clear', 'indications', 'of', 'the', 'ds', 'and', 'd', 'to', 'phi', 'pi', 'to', 'mu', 'mu', 'pi', 'final', 'states', 'with', 'significance', 'greater', 'than', 'four', 'standard', 'deviations', 'above', 'background', 'for', 'the', 'd', 'state', 'we', 'search', 'for', 'the', 'continuum', 'decay', 'of', 'd', 'to', 'pimumu', 'in', 'the', 'dimuon', 'invariant', 'mass', 'spectrum', 'away', 'from', 'the', 'phi', 'resonance', 'we', 'see', 'no', 'evidence', 'of', 'signal', 'above', 'background', 'and', 'set', 'a', 'limit', 'of', 'bd', 'to', 'pimumu', '39', 'x', '106', 'at', 'the', '90', 'cl', 'this', 'limit', 'places', 'the', 'most', 'stringent', 'constraint', 'on', 'new', 'phenomena', 'in', 'the', 'c', 'to', 'u', 'mu', 'mu', 'transition']] | [-0.11431221485078807, 0.15791447028990777, -0.06696581467246962, 0.09138513643750822, -0.006139201969499626, -0.15057950719289245, 0.132829597659616, 0.2747461746981744, -0.20282697258401655, -0.30482077197955243, -0.01466663856621063, -0.40287848675830495, 0.07130348615880523, 0.12606521138537025, 0.09441487920574015, 0.08891116839275504, 0.07650224697251345, 0.04864140514225241, -0.06386225166017308, -0.1728541960067574, 0.23125969520622183, 0.04655110473293693, 0.20070734714704846, 0.07201029242031158, 0.026736517189188846, -0.012290626701470169, -0.014539907849024213, -0.09363996698742821, -0.20151757801853357, 0.006429003658547391, 0.2164352765539661, 0.13248660830440856, 0.12453075921133397, -0.27824785762895193, -0.045308267852912344, 0.21062418587491036, 0.10556176815935898, -0.008869042634845727, 0.007778747978302399, -0.3616258316037674, 0.21836985357933575, -0.1357955381344442, -0.123777589287668, 0.044641066205850434, 0.14882990173322874, -0.1391755232517238, -0.3540287354946255, 0.09282120675336392, 0.012951778639699258, 0.11220654882194978, 0.004740863497043768, -0.280015267137002, -0.051835717191727505, -0.05509811611328688, 0.05762323992495935, 0.14858378076164555, 0.19829469134232827, -0.09585577771270884, -0.12883131625869917, 0.3283330723199816, -0.1353864831512005, -0.13807610999275413, 0.24765875268845805, -0.2890465373454231, -0.14314306382873346, 0.21391816726989216, 0.24860978295790062, 0.0376815222063294, -0.18897480485842577, 0.19040229160334946, 0.01518654122593857, 0.1959656168159748, 0.14044087887593795, 0.04988743936262345, 0.16807807987072645, 0.17304031214573318, 0.06539515830994037, 0.040660679170359225, -0.15177097278536253, -0.0005969824712900888, -0.45884827872191275, -0.08260798081016493, -0.08104732932360281, 0.1272093191029622, -0.023039191909317327, -0.004863968189070759, 0.30668663338846747, 0.08450589019302575, 0.29969988488370464, 0.014881703756853111, 0.20786367763676458, 0.10651644840681766, 0.01248222097707358, 0.0772714274550838, 0.2664442378140631, 0.11969338818859782, 0.16117529547773302, -0.23594826029794705, -0.05897767215390645, -0.017769883357224955] |
708.2095 | Modulation of Negative Index Metamaterials in the Near-IR Range | Optical modulation of the effective refractive properties of a "fishnet"
metamaterial with a Ag/Si/Ag heterostructure is demonstrated in the near-IR
range and the associated fast dynamics of negative refractive index is studied
by pump-probe method. Photo excitation of the amorphous Si layer at visible
wavelength and corresponding modification of its optical parameters is found to
be responsible for the observed modulation of negative refractive index in
near-IR.
| cond-mat.mtrl-sci | optical modulation of the effective refractive properties of a fishnet metamaterial with a agsiag heterostructure is demonstrated in the nearir range and the associated fast dynamics of negative refractive index is studied by pumpprobe method photo excitation of the amorphous si layer at visible wavelength and corresponding modification of its optical parameters is found to be responsible for the observed modulation of negative refractive index in nearir | [['optical', 'modulation', 'of', 'the', 'effective', 'refractive', 'properties', 'of', 'a', 'fishnet', 'metamaterial', 'with', 'a', 'agsiag', 'heterostructure', 'is', 'demonstrated', 'in', 'the', 'nearir', 'range', 'and', 'the', 'associated', 'fast', 'dynamics', 'of', 'negative', 'refractive', 'index', 'is', 'studied', 'by', 'pumpprobe', 'method', 'photo', 'excitation', 'of', 'the', 'amorphous', 'si', 'layer', 'at', 'visible', 'wavelength', 'and', 'corresponding', 'modification', 'of', 'its', 'optical', 'parameters', 'is', 'found', 'to', 'be', 'responsible', 'for', 'the', 'observed', 'modulation', 'of', 'negative', 'refractive', 'index', 'in', 'nearir']] | [-0.10403099018290188, 0.18211665012076442, -0.04880562590463369, -0.026813253550437476, -0.04998282740372374, -0.17445214348845184, -0.019105595423642433, 0.5236420917860938, -0.2333897596620249, -0.32374589489490696, 0.029310984145426613, -0.251097880233305, -0.19065067488135715, 0.22361127865698302, -0.016118050538793657, 0.056842870247430365, -0.06279217320931793, -0.07023040369632795, 0.024143735807614797, -0.11290041251446713, 0.2631340412084352, 0.06883961905612412, 0.2957796430899621, 0.08178166961861831, 0.061720645309171894, -0.0027351542234872327, -0.041912469646018566, -0.010788284136321057, -0.08665044242463243, 0.12370365462971455, 0.24642243510055722, -0.06891817622112506, 0.18549202532846143, -0.3405115141279318, -0.27519086254478403, 0.01804116881932273, 0.10861141327768564, 0.041056163157477524, -0.10886011509732767, -0.21137899483525843, 0.06489376620050859, -0.10713388306568518, -0.19270617543776153, 0.025152567209619465, 0.0505630544415026, -0.007137310437180779, -0.27699516306165606, 0.06084294464557333, -0.03141511358659376, 0.08234676408270995, -0.11255839539190868, -0.08001850931340772, -0.0898835111592868, 0.0353131597494763, -0.03183592082297599, -0.059579888616236996, 0.1594860808302959, -0.13711055873356987, -0.07375138933121254, 0.3967559158689145, -0.1162971003524228, -0.04979890297082337, 0.09997457824647427, -0.16341519163159485, 0.05666033881116715, 0.23260282092219728, 0.15503088750340271, 0.12083299386590211, -0.07999713606003558, 0.046442643829240376, 0.006719498676389005, 0.2872847946163154, 0.13374169252699974, 0.13770913638908303, 0.2007015096164788, 0.18262449549652185, -0.002724061416687839, 0.13399489856656696, -0.15221990565998678, 0.041146254928951916, -0.20161993457286648, -0.15275081563176532, -0.22115007657063843, 0.03930497096823246, -0.1747896503299919, -0.1914495742583478, 0.45550884482817666, 0.08009026773894827, 0.16996998341302527, -0.062385357905771925, 0.30949731893611676, 0.16517081739606732, 0.11056448147935567, -0.034727607550325265, 0.34875679332198517, 0.1854858126695917, 0.18448681876797116, -0.2736305818737795, 0.0520711576594322, 0.023826904453788742] |
708.2096 | Non-uniform mixing of quantum walk on cycles | A classical lazy random walk on cycles is known to mix to the uniform
distribution. In contrast, we show that a continuous-time quantum walk on
cycles exhibit strong non-uniform mixing properties. Our results include the
following:
- The instantaneous distribution of a quantum walk on most even-length cycles
is never uniform. - The average distribution of a quantum walk on any Abelian
circulant graph is never uniform. As a corollary, the average distribution of a
quantum walk on any standard circulant graph, such as the cycles, complete
graphs, and even hypercubes, is never uniform.
| quant-ph | a classical lazy random walk on cycles is known to mix to the uniform distribution in contrast we show that a continuoustime quantum walk on cycles exhibit strong nonuniform mixing properties our results include the following the instantaneous distribution of a quantum walk on most evenlength cycles is never uniform the average distribution of a quantum walk on any abelian circulant graph is never uniform as a corollary the average distribution of a quantum walk on any standard circulant graph such as the cycles complete graphs and even hypercubes is never uniform | [['a', 'classical', 'lazy', 'random', 'walk', 'on', 'cycles', 'is', 'known', 'to', 'mix', 'to', 'the', 'uniform', 'distribution', 'in', 'contrast', 'we', 'show', 'that', 'a', 'continuoustime', 'quantum', 'walk', 'on', 'cycles', 'exhibit', 'strong', 'nonuniform', 'mixing', 'properties', 'our', 'results', 'include', 'the', 'following', 'the', 'instantaneous', 'distribution', 'of', 'a', 'quantum', 'walk', 'on', 'most', 'evenlength', 'cycles', 'is', 'never', 'uniform', 'the', 'average', 'distribution', 'of', 'a', 'quantum', 'walk', 'on', 'any', 'abelian', 'circulant', 'graph', 'is', 'never', 'uniform', 'as', 'a', 'corollary', 'the', 'average', 'distribution', 'of', 'a', 'quantum', 'walk', 'on', 'any', 'standard', 'circulant', 'graph', 'such', 'as', 'the', 'cycles', 'complete', 'graphs', 'and', 'even', 'hypercubes', 'is', 'never', 'uniform']] | [-0.15371401548264144, 0.20493061985800284, -0.10155087093437981, 0.07342418650438523, -0.036538743626569274, -0.12278225178749341, 0.09301040327662359, 0.42582021532175335, -0.23625061904591427, -0.21384107290119256, 0.13939449821254643, -0.25492986720865185, -0.14496970233385978, 0.1649191629384523, -0.11201275769195965, 0.05172958643727369, 0.11268675328313332, 0.10385241515367576, 0.0017425127886741868, -0.2821523526730269, 0.2324279185141558, 0.014646998793899042, 0.25741002726895007, 0.014269730066070739, 0.09364557515769063, 0.07208035049109679, 0.03345048280291097, 0.0394474181306103, -0.12062767467187255, 0.022307745616316148, 0.09875362030351939, 0.06437739599293665, 0.22000670315616805, -0.4102633512862351, -0.24669177104395046, 0.19623629295434195, 0.11964211059207826, 0.12582676959952907, 0.0072489935973072015, -0.24439753622383528, 0.10582315006657787, -0.13682501580383952, -0.09108586320349865, -0.006537866232025883, 0.046651338080308684, 0.06549353903645407, -0.26640127821946924, 0.011940886737252384, 0.17019251794756754, 0.07260693535816086, 0.08958651121128755, -0.10638014191721121, 0.0140874556989571, 0.13273948334845836, -0.08591126473418073, 0.025931565202367696, 0.1214987725454747, -0.09937564005224925, -0.23475535422482569, 0.3718747321273322, -0.09138099788991816, -0.18547779486676597, 0.144988725123846, -0.15635935231314405, -0.17978189645699508, 0.08960315702057889, 0.13602120013978414, 0.14874536567367613, -0.08535417856689057, 0.10806008853440922, -0.13692619469340728, 0.12814463791437447, 0.06569583362737752, 0.026094798803450944, 0.15029077965806684, 0.09601247557135217, 0.20011808773826645, 0.18615242467595913, -0.010811540872648196, -0.18885506686511572, -0.27665119847971137, -0.15141161197148587, -0.28860613600472396, 0.17939496771229999, -0.20690237194202896, -0.29906545783919486, 0.4234450167885212, 0.10558664932550924, 0.19882710755843183, 0.14260536992072087, 0.25383746101642435, 0.12343530273242125, 0.01640581706052889, 0.13876688083552796, 0.13016473720579044, 0.2222418908976302, 0.03040715330786517, -0.12707795562101123, 0.11753249952934035, 0.10676203256614668] |
708.2097 | Time-dependent Dalitz Plot Analysis of B0 --> Ks pi+ pi- | We perform a time-dependent Dalitz plot analysis of $B^0 \to
K^0_{\scriptscriptstyle S}\pi^+\pi^-$ in order to extract the ${CP}$ violation
parameters of $f_0(980) K^0_{\scriptscriptstyle S}$ and $\rho^0(770)
K^0_{\scriptscriptstyle S}$ and direct ${CP}$-asymmetries of $K^{*+}(892)
\pi^-$. The results are obtained from a data sample of $(383\pm3)\times10^{6}$
$B \bar{B}$ decays, collected with the BaBar detector at the PEP2
asymmetric--energy $B$ factory at SLAC. The measured values of $2\beta_{\rm
eff}$ in $B^0$ decays to $f_0(980)K^0_{\scriptscriptstyle S}$ and $\rho^0(770)
K^0_{\scriptscriptstyle S}$ are $(89^{+22}_{-20} \pm 5 \pm 8)^\circ$ and $(37
^{+19}_{-17} \pm 5 \pm 6)^\circ$, respectively, where the first quoted
uncertainty is statistical, the second is systematic and the third is Dalitz
plot signal model uncertainty. We measure the significance of $2\beta_{\rm
eff}(f_0(980)K^0_{\scriptscriptstyle S})\neq 0$ to be $4.3 \sigma$. In decays
to $K^*(892) \pi$ we find $A_{{CP}} = -0.18 \pm 0.10 \pm 0.03 \pm 0.03$. The
measured phase difference between the decay amplitudes of $B^0 \to K^{*+}(892)
\pi^-$ and $\bar{B}^0 \to K^{*-}(892) \pi^+$ is $(-164 \pm 24 \pm 12 \pm
15)^\circ$. All results are preliminary.
| hep-ex | we perform a timedependent dalitz plot analysis of b0 to k0_scriptscriptstyle spipi in order to extract the cp violation parameters of f_0980 k0_scriptscriptstyle s and rho0770 k0_scriptscriptstyle s and direct cpasymmetries of k892 pi the results are obtained from a data sample of 383pm3times106 b barb decays collected with the babar detector at the pep2 asymmetricenergy b factory at slac the measured values of 2beta_rm eff in b0 decays to f_0980k0_scriptscriptstyle s and rho0770 k0_scriptscriptstyle s are 8922_20 pm 5 pm 8circ and 37 19_17 pm 5 pm 6circ respectively where the first quoted uncertainty is statistical the second is systematic and the third is dalitz plot signal model uncertainty we measure the significance of 2beta_rm efff_0980k0_scriptscriptstyle sneq 0 to be 43 sigma in decays to k892 pi we find a_cp 018 pm 010 pm 003 pm 003 the measured phase difference between the decay amplitudes of b0 to k892 pi and barb0 to k892 pi is 164 pm 24 pm 12 pm 15circ all results are preliminary | [['we', 'perform', 'a', 'timedependent', 'dalitz', 'plot', 'analysis', 'of', 'b0', 'to', 'k0_scriptscriptstyle', 'spipi', 'in', 'order', 'to', 'extract', 'the', 'cp', 'violation', 'parameters', 'of', 'f_0980', 'k0_scriptscriptstyle', 's', 'and', 'rho0770', 'k0_scriptscriptstyle', 's', 'and', 'direct', 'cpasymmetries', 'of', 'k892', 'pi', 'the', 'results', 'are', 'obtained', 'from', 'a', 'data', 'sample', 'of', '383pm3times106', 'b', 'barb', 'decays', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pep2', 'asymmetricenergy', 'b', 'factory', 'at', 'slac', 'the', 'measured', 'values', 'of', '2beta_rm', 'eff', 'in', 'b0', 'decays', 'to', 'f_0980k0_scriptscriptstyle', 's', 'and', 'rho0770', 'k0_scriptscriptstyle', 's', 'are', '8922_20', 'pm', '5', 'pm', '8circ', 'and', '37', '19_17', 'pm', '5', 'pm', '6circ', 'respectively', 'where', 'the', 'first', 'quoted', 'uncertainty', 'is', 'statistical', 'the', 'second', 'is', 'systematic', 'and', 'the', 'third', 'is', 'dalitz', 'plot', 'signal', 'model', 'uncertainty', 'we', 'measure', 'the', 'significance', 'of', '2beta_rm', 'efff_0980k0_scriptscriptstyle', 'sneq', '0', 'to', 'be', '43', 'sigma', 'in', 'decays', 'to', 'k892', 'pi', 'we', 'find', 'a_cp', '018', 'pm', '010', 'pm', '003', 'pm', '003', 'the', 'measured', 'phase', 'difference', 'between', 'the', 'decay', 'amplitudes', 'of', 'b0', 'to', 'k892', 'pi', 'and', 'barb0', 'to', 'k892', 'pi', 'is', '164', 'pm', '24', 'pm', '12', 'pm', '15circ', 'all', 'results', 'are', 'preliminary']] | [-0.1342475761873474, 0.20828882344529864, -0.07210622214486603, 0.05635826283001474, -0.036480619566318415, -0.16399367492044378, 0.1460160527628505, 0.2606469800996577, -0.18012412630241387, -0.3207576951902846, -0.04707644036493802, -0.49152212903794384, 0.09229825440828937, 0.14171370490517768, 0.057023211794844625, 0.09711427627334165, 0.049467184524191396, -0.012838706680752847, -0.10166671687899076, -0.09367634998692304, 0.07869305160845289, -0.06121695509053165, 0.1799433262995589, 0.03012421138596183, -0.06463046064484657, -0.033281516927288646, -0.061609164088594244, -0.14030986514393678, -0.2547968042991269, -0.03239162379343595, 0.2241325435627784, 0.1047529510124037, 0.07846500323680432, -0.19359332102658017, 0.08231558875174996, 0.19524339902625412, 0.16893804727284156, -0.043249914017708405, 0.08613655174741093, -0.43584728353188273, 0.21667099332795564, -0.15451160747766124, -0.03874702085827633, -0.012446501633580426, 0.14994576827894826, -0.15722721882789217, -0.4052730759443796, 0.23020788738561898, -0.13080805188380412, 0.1380823512087281, -0.004967931436768137, -0.3462949317492406, -0.027655049519301016, -0.002498095681578476, 0.09134705368102591, 0.22116602220578316, 0.16195019676714487, 0.028949236419190717, -0.11920383737584495, 0.3967195916675054, -0.10602521271696488, -0.12640355899351538, 0.014577120342957122, -0.26492836015148563, -0.14145769899630029, 0.19607888772701904, 0.1933843905326002, 0.03603049082846398, -0.19288492390758688, 0.08920114781050972, 0.020632874686270952, 0.25011140053733166, 0.09334133363542904, 0.025757810500051295, 0.13801101004554434, 0.12554605428840943, -0.054214581161714306, -0.005267719420754807, -0.22899021396286184, 0.016952201491583323, -0.4293658612585216, -0.11103980607058135, -0.013822887238167134, 0.11720709047520314, -0.10339014337293989, 0.01904896888534845, 0.3079616073056223, 0.03958970021676295, 0.3192505664163217, 0.021513753029754997, 0.279895115892478, 0.07348661782995144, -0.02245352305298359, 0.08765996593015951, 0.3168694157882229, 0.2661810936001332, 0.12123914826545656, -0.2979566332515725, 0.007374991696536351, -0.06029903404674961] |
708.2098 | Where are the degrees of freedom responsible for black hole entropy? | Considering the entanglement between quantum field degrees of freedom inside
and outside the horizon as a plausible source of black hole entropy, we address
the question: {\it where are the degrees of freedom that give rise to this
entropy located?} When the field is in ground state, the black hole area law is
obeyed and the degrees of freedom near the horizon contribute most to the
entropy. However, for excited state, or a superposition of ground state and
excited state, power-law corrections to the area law are obtained, and more
significant contributions from the degrees of freedom far from the horizon are
shown.
| gr-qc hep-th | considering the entanglement between quantum field degrees of freedom inside and outside the horizon as a plausible source of black hole entropy we address the question it where are the degrees of freedom that give rise to this entropy located when the field is in ground state the black hole area law is obeyed and the degrees of freedom near the horizon contribute most to the entropy however for excited state or a superposition of ground state and excited state powerlaw corrections to the area law are obtained and more significant contributions from the degrees of freedom far from the horizon are shown | [['considering', 'the', 'entanglement', 'between', 'quantum', 'field', 'degrees', 'of', 'freedom', 'inside', 'and', 'outside', 'the', 'horizon', 'as', 'a', 'plausible', 'source', 'of', 'black', 'hole', 'entropy', 'we', 'address', 'the', 'question', 'it', 'where', 'are', 'the', 'degrees', 'of', 'freedom', 'that', 'give', 'rise', 'to', 'this', 'entropy', 'located', 'when', 'the', 'field', 'is', 'in', 'ground', 'state', 'the', 'black', 'hole', 'area', 'law', 'is', 'obeyed', 'and', 'the', 'degrees', 'of', 'freedom', 'near', 'the', 'horizon', 'contribute', 'most', 'to', 'the', 'entropy', 'however', 'for', 'excited', 'state', 'or', 'a', 'superposition', 'of', 'ground', 'state', 'and', 'excited', 'state', 'powerlaw', 'corrections', 'to', 'the', 'area', 'law', 'are', 'obtained', 'and', 'more', 'significant', 'contributions', 'from', 'the', 'degrees', 'of', 'freedom', 'far', 'from', 'the', 'horizon', 'are', 'shown']] | [-0.15207549876045182, 0.18415495651114044, -0.0768873300312937, 0.06218749745545493, -0.025127960714846125, -0.1340766684106976, 0.058012380470404204, 0.2634178751229661, -0.23828419283127358, -0.31652446447428567, 0.09420918577319029, -0.36910075741340814, -0.03072344854663949, 0.1571590820105873, -0.03943146843897197, 0.005379656950255982, -0.003901152192836501, 0.0971786684347588, -0.023334664245163207, -0.19479192733692313, 0.34576900525796184, 0.0842469309183127, 0.25730798893508694, 0.06384896546674584, 0.13212931214479132, -0.00464473206784974, 0.08285469966895372, 0.06138928943467371, -0.11851551262380666, 0.09003541272730359, 0.23968332575507534, 0.12726034034152053, 0.2102322453831874, -0.39377169604006323, -0.23144084843128776, 0.068200194900765, 0.12376999587399289, 0.17744134778825982, -0.0023017861023918247, -0.27431161947168625, -0.0018553246565398227, -0.19314262278161, -0.21024475627334663, -0.050683704530368155, 0.043064102632201555, -0.06423219218420642, -0.196469014872191, 0.15555531791076788, 0.06348330525905165, 0.016980520214487628, -0.05968637692344203, -0.09777172088840054, -0.07120267647653095, 0.14360597653419585, 0.11563245873916352, 0.03942422369874797, 0.15185431255823345, -0.18273482068658817, -0.08503021674176443, 0.31827543267202607, 0.016800654387481295, -0.18016975888421813, 0.15651021822292394, -0.20069482503006758, -0.05318253001342844, 0.15203208078006372, 0.14959990910426216, 0.16881331931943758, -0.1318052020541322, 0.08410672571519119, 0.03919462199114914, 0.20216625279269987, 0.06520467026846356, 0.15953716732905182, 0.3322766621606153, 0.05921088385811636, 0.06458498552911779, 0.21255297008540155, -0.08825278106299274, -0.20063110523251365, -0.3474644682216413, -0.1561772124932229, -0.2150849529261728, 0.0936844348274533, -0.07429737808777345, -0.1164859168836734, 0.3841781299290003, 0.09338245008737572, 0.15614842829629055, 0.0032316605533355648, 0.22514996433503998, 0.10407116066876944, 0.0572291310306964, 0.15433021044150647, 0.3323876847268887, 0.13162432249309947, 0.06601033687537301, -0.24398579051971292, -0.0035782811159575448, 0.01998811237767194] |
708.2099 | Unexpected relaxation dynamics of a self-avoiding polymer in cylindrical
confinement | We report extensive simulations of the relaxation dynamics of a self-avoiding
polymer confined inside a cylindrical pore. In particular, we concentrate on
examining how confinement influences the scaling behavior of the global
relaxation time of the chain, t, with the chain length N and pore diameter D.
An earlier scaling analysis based on the de Gennes blob picture led to t ~
N^2D^(1/3). Our numerical effort that combines molecular dynamics and Monte
Carlo simulations, however, consistently produces different t-results for N up
to 2000. We argue that the previous scaling prediction is only asymptotically
valid in the limit N >> D^(5/3) >> 1, which is currently inaccessible to
computer simulations and, more interestingly, is also difficult to reach in
experiments. Our results are thus relevant for the interpretation of recent
experiments with DNA in nano- and micro-channels.
| cond-mat.soft cond-mat.stat-mech | we report extensive simulations of the relaxation dynamics of a selfavoiding polymer confined inside a cylindrical pore in particular we concentrate on examining how confinement influences the scaling behavior of the global relaxation time of the chain t with the chain length n and pore diameter d an earlier scaling analysis based on the de gennes blob picture led to t n2d13 our numerical effort that combines molecular dynamics and monte carlo simulations however consistently produces different tresults for n up to 2000 we argue that the previous scaling prediction is only asymptotically valid in the limit n d53 1 which is currently inaccessible to computer simulations and more interestingly is also difficult to reach in experiments our results are thus relevant for the interpretation of recent experiments with dna in nano and microchannels | [['we', 'report', 'extensive', 'simulations', 'of', 'the', 'relaxation', 'dynamics', 'of', 'a', 'selfavoiding', 'polymer', 'confined', 'inside', 'a', 'cylindrical', 'pore', 'in', 'particular', 'we', 'concentrate', 'on', 'examining', 'how', 'confinement', 'influences', 'the', 'scaling', 'behavior', 'of', 'the', 'global', 'relaxation', 'time', 'of', 'the', 'chain', 't', 'with', 'the', 'chain', 'length', 'n', 'and', 'pore', 'diameter', 'd', 'an', 'earlier', 'scaling', 'analysis', 'based', 'on', 'the', 'de', 'gennes', 'blob', 'picture', 'led', 'to', 't', 'n2d13', 'our', 'numerical', 'effort', 'that', 'combines', 'molecular', 'dynamics', 'and', 'monte', 'carlo', 'simulations', 'however', 'consistently', 'produces', 'different', 'tresults', 'for', 'n', 'up', 'to', '2000', 'we', 'argue', 'that', 'the', 'previous', 'scaling', 'prediction', 'is', 'only', 'asymptotically', 'valid', 'in', 'the', 'limit', 'n', 'd53', '1', 'which', 'is', 'currently', 'inaccessible', 'to', 'computer', 'simulations', 'and', 'more', 'interestingly', 'is', 'also', 'difficult', 'to', 'reach', 'in', 'experiments', 'our', 'results', 'are', 'thus', 'relevant', 'for', 'the', 'interpretation', 'of', 'recent', 'experiments', 'with', 'dna', 'in', 'nano', 'and', 'microchannels']] | [-0.10913420413800684, 0.1657764653078409, -0.09984728636989144, 0.019953734801454244, -0.025349843160559733, -0.1297243032216405, 0.031620577831442155, 0.39532327503812587, -0.21079067145050925, -0.3074560741026124, 0.07634718915814477, -0.27528267074376345, -0.1367308086429892, 0.20047091890239355, 0.03193145733905223, 0.0785460221461218, 0.07624078083741055, -0.004056923094057393, -0.03768299700635852, -0.23437952068563778, 0.21616437606457056, 0.11911975334849999, 0.27976103507292766, 0.05972455076037229, 0.06565171841815975, -0.005891427048482001, -0.014544697120348274, 0.06452916884992385, -0.2290636466320641, 0.0958307165913566, 0.20291271739177208, 0.047352716023328176, 0.23503868407605102, -0.4726559274660593, -0.21866322102053373, 0.03769286652801163, 0.20519416046568728, 0.1205748556751518, -0.012180129627571054, -0.23711834512439303, 0.06675848029695, -0.11841250541725788, -0.12671401318529565, -0.055146006943135886, 0.06191353014472759, 0.016516757960551222, -0.23709385430221586, 0.09265814013104484, 0.05489881740262111, 0.05350412527861243, -0.0046851250738131275, -0.10305114253776881, 0.023540138649740115, 0.10418077393445525, 0.04566581851174829, 0.022327684462211575, 0.17810442400249568, -0.09854182669457232, -0.1129378157837147, 0.3359265830508913, -0.04697044775644882, -0.17545990093089076, 0.2509535908307457, -0.17979502517052673, -0.13712288654818566, 0.1548196739009158, 0.1180625928497069, 0.15206729488404977, -0.09664874809272023, 0.10592928142322114, -0.07032361696474254, 0.19915604468957154, 0.03867364906578918, -0.042273002048728595, 0.16000478172844107, 0.25030125180703844, 0.013430668993599036, 0.1327690822583849, -0.09055228480958083, -0.18499777206593673, -0.27771699990879634, -0.1425220894655495, -0.19418584263643646, 0.06688322331562328, -0.09507738899353144, -0.14655618485994637, 0.31008584663504735, 0.19435369871182434, 0.20167266559623054, 0.09803717016422359, 0.23335436950913968, 0.0184429536598283, 0.04196753000106775, 0.07007782609611185, 0.20209589337393868, 0.10201552792215918, 0.09290489146246039, -0.2843570963578355, 0.024867563997042562, 0.049874437556630284] |
708.21 | Beaming Binaries - a New Observational Category of Photometric Binary
Stars | The new photometric space-borne survey missions CoRoT and Kepler will be able
to detect minute flux variations in binary stars due to relativistic beaming
caused by the line-of-sight motion of their components. In all but very short
period binaries (P>10d), these variations will dominate over the ellipsoidal
and reflection periodic variability. Thus, CoRoT and Kepler will discover a new
observational class: photometric beaming binary stars. We examine this new
category and the information that the photometric variations can provide. The
variations that result from the observatory heliocentric velocity can be used
to extract some spectral information even for single stars.
| astro-ph | the new photometric spaceborne survey missions corot and kepler will be able to detect minute flux variations in binary stars due to relativistic beaming caused by the lineofsight motion of their components in all but very short period binaries p10d these variations will dominate over the ellipsoidal and reflection periodic variability thus corot and kepler will discover a new observational class photometric beaming binary stars we examine this new category and the information that the photometric variations can provide the variations that result from the observatory heliocentric velocity can be used to extract some spectral information even for single stars | [['the', 'new', 'photometric', 'spaceborne', 'survey', 'missions', 'corot', 'and', 'kepler', 'will', 'be', 'able', 'to', 'detect', 'minute', 'flux', 'variations', 'in', 'binary', 'stars', 'due', 'to', 'relativistic', 'beaming', 'caused', 'by', 'the', 'lineofsight', 'motion', 'of', 'their', 'components', 'in', 'all', 'but', 'very', 'short', 'period', 'binaries', 'p10d', 'these', 'variations', 'will', 'dominate', 'over', 'the', 'ellipsoidal', 'and', 'reflection', 'periodic', 'variability', 'thus', 'corot', 'and', 'kepler', 'will', 'discover', 'a', 'new', 'observational', 'class', 'photometric', 'beaming', 'binary', 'stars', 'we', 'examine', 'this', 'new', 'category', 'and', 'the', 'information', 'that', 'the', 'photometric', 'variations', 'can', 'provide', 'the', 'variations', 'that', 'result', 'from', 'the', 'observatory', 'heliocentric', 'velocity', 'can', 'be', 'used', 'to', 'extract', 'some', 'spectral', 'information', 'even', 'for', 'single', 'stars']] | [-0.1147303454161738, 0.19757557257078587, -0.12318720633164049, 0.14483250271412543, -0.221526284548454, -0.07459553217049689, 0.05309187437640503, 0.4042167724110186, -0.2593269148468971, -0.36580156387761237, 0.08230288047343493, -0.27259162459522485, -0.0894693074375391, 0.28091940879821775, -0.18613301130011678, 0.018763949805870653, 0.1980825826933142, -0.07272690023499308, -0.04724120162194595, -0.2926223782589659, 0.2610066130757332, 0.052556476015597584, 0.07485370098671411, -0.08240864987485111, 0.015384140247479082, -0.04327851514797658, -0.10574807605386013, 0.01644247179850936, -0.12158958311149036, 0.07863875310868025, 0.2590288334246725, 0.15907056759111582, 0.17012996791978366, -0.32383694503456356, -0.26164967770688236, 0.06726248977240175, 0.15851222812139895, 0.048653989462181926, -0.005957696014083922, -0.32689439655514435, 0.06960420778021216, -0.18753866388695314, -0.1782581636181567, -0.06171031143516302, 0.09455068854615092, 0.07898057835176588, -0.19050045317970216, 0.030276228304719554, 0.03888145707547665, 0.13011165956966578, -0.18607610701350497, -0.06359558629337698, -0.03122592926491052, 0.12671369935618715, 0.048147125095129015, 0.06337111589731649, 0.0767696918407455, -0.08338613090105355, -0.03087086741812527, 0.43658792208880187, -0.10325247817439959, -0.03199559608940035, 0.16768747503403575, -0.1999181335698813, -0.18943537892308085, 0.15184803364449181, 0.23401138465851545, 0.10798903567367234, -0.19612357744787004, -0.0425208338839002, 0.04976010320708155, 0.24274582099169492, 0.11060492719057947, 0.11466140916105359, 0.37006012894213197, 0.040428362400271, 0.05344010784108832, 0.06827350939856842, -0.35965354668907823, 0.0028591261128894986, -0.23684784669894726, -0.06547060250770301, -0.09755737111554481, 0.06832899685949087, -0.11477338933793363, -0.1294545905571431, 0.3881104200705886, 0.17301400448195636, 0.14315812479238957, 0.03753575978567824, 0.30373942931648346, 0.06374099630862474, 0.09903209185416927, 0.08251643995754421, 0.3374484978980036, 0.12247857628390194, 0.1358741001819726, -0.22092028960352764, 0.10682306942995638, -0.03084203597623855] |
708.2101 | Distribution of the time at which the deviation of a Brownian motion is
maximum before its first-passage time | We calculate analytically the probability density $P(t_m)$ of the time $t_m$
at which a continuous-time Brownian motion (with and without drift) attains its
maximum before passing through the origin for the first time. We also compute
the joint probability density $P(M,t_m)$ of the maximum $M$ and $t_m$. In the
driftless case, we find that $P(t_m)$ has power-law tails: $P(t_m)\sim
t_m^{-3/2}$ for large $t_m$ and $P(t_m)\sim t_m^{-1/2}$ for small $t_m$. In
presence of a drift towards the origin, $P(t_m)$ decays exponentially for large
$t_m$. The results from numerical simulations are in excellent agreement with
our analytical predictions.
| cond-mat.stat-mech math.PR | we calculate analytically the probability density pt_m of the time t_m at which a continuoustime brownian motion with and without drift attains its maximum before passing through the origin for the first time we also compute the joint probability density pmt_m of the maximum m and t_m in the driftless case we find that pt_m has powerlaw tails pt_msim t_m32 for large t_m and pt_msim t_m12 for small t_m in presence of a drift towards the origin pt_m decays exponentially for large t_m the results from numerical simulations are in excellent agreement with our analytical predictions | [['we', 'calculate', 'analytically', 'the', 'probability', 'density', 'pt_m', 'of', 'the', 'time', 't_m', 'at', 'which', 'a', 'continuoustime', 'brownian', 'motion', 'with', 'and', 'without', 'drift', 'attains', 'its', 'maximum', 'before', 'passing', 'through', 'the', 'origin', 'for', 'the', 'first', 'time', 'we', 'also', 'compute', 'the', 'joint', 'probability', 'density', 'pmt_m', 'of', 'the', 'maximum', 'm', 'and', 't_m', 'in', 'the', 'driftless', 'case', 'we', 'find', 'that', 'pt_m', 'has', 'powerlaw', 'tails', 'pt_msim', 't_m32', 'for', 'large', 't_m', 'and', 'pt_msim', 't_m12', 'for', 'small', 't_m', 'in', 'presence', 'of', 'a', 'drift', 'towards', 'the', 'origin', 'pt_m', 'decays', 'exponentially', 'for', 'large', 't_m', 'the', 'results', 'from', 'numerical', 'simulations', 'are', 'in', 'excellent', 'agreement', 'with', 'our', 'analytical', 'predictions']] | [-0.11516460763169048, 0.17973233288174253, -0.08101041767361533, 0.021380318845014856, 0.010672380725104038, -0.08061571120102283, 0.07911281810147161, 0.38566360918238113, -0.23841671508979861, -0.24894560736846988, 0.09087085833838816, -0.30978317420458945, -0.09897190241431615, 0.17718843734853537, 0.019390795046507737, 0.06069028710518741, 0.04063900731726671, 0.07618741930017005, -0.08734508942681081, -0.17679568071363735, 0.20960245291580973, 0.08727826847208907, 0.21997766810945113, 0.04546315583359936, 0.0922383286613141, 0.0027441583705418134, 0.014886493369451036, 0.03546653874218464, -0.2202708152475996, 0.017178828919144427, 0.18488468046543066, 0.05430947373742643, 0.2594969918870408, -0.4055882150550251, -0.1719559262678756, 0.10965965007452051, 0.14208832443388097, 0.07487318772473373, -0.06558535946533084, -0.26225497613347176, 0.11941003616210884, -0.14406148197999952, -0.1731177351397017, -0.040232225068156484, 0.07478475827804726, 0.06891436621536622, -0.2878778557515825, 0.1601292260681436, 0.03423838800581112, 0.000875679118072857, -0.058184763663397775, -0.1296131239252408, -0.005727837429098461, 0.11800843542163342, 0.09168492994186912, 0.015514440465030139, 0.1146045497254185, -0.10429007561027032, -0.07413835118970145, 0.3057659307378344, -0.13629104723425015, -0.12594986938284305, 0.17222822437811966, -0.2498093720768457, -0.11049413693177959, 0.19657070354720496, 0.14941703302421325, 0.11706860987064631, -0.1090346954094813, 0.10396467815165955, -0.005616723127035505, 0.1103574198129101, 0.05845245990254309, -0.021997903560433137, 0.19548406746521915, 0.13276709048279925, 0.097174229161085, 0.12585102194545628, -0.1407583337277174, -0.13281229224420435, -0.33861232338392216, -0.17443921612879343, -0.23211838376870297, 0.05584135695117647, -0.14685619421478527, -0.12221214147892011, 0.3429199577936822, 0.16002857619289146, 0.2672910825551852, 0.18223565023357008, 0.2526171489254288, 0.17089320953717738, -0.016916004449898457, 0.11714350275249909, 0.17188115326849662, 0.12639888626037407, 0.10680431324441958, -0.268999260564274, 0.10238705722250692, 0.028215320785934833] |
708.2102 | Gain of Regularity for the KP-I Equation | In this paper we study the smoothness properties of solutions to the KP-I
equation. We show that the equation's dispersive nature leads to a gain in
regularity for the solution. In particular, if the initial data $\phi$
possesses certain regularity and sufficient decay as $x \to \infty$, then the
solution $u(t)$ will be smoother than $\phi$ for $0 < t \leq T$ where $T$ is
the existence time of the solution.
| math.AP | in this paper we study the smoothness properties of solutions to the kpi equation we show that the equations dispersive nature leads to a gain in regularity for the solution in particular if the initial data phi possesses certain regularity and sufficient decay as x to infty then the solution ut will be smoother than phi for 0 t leq t where t is the existence time of the solution | [['in', 'this', 'paper', 'we', 'study', 'the', 'smoothness', 'properties', 'of', 'solutions', 'to', 'the', 'kpi', 'equation', 'we', 'show', 'that', 'the', 'equations', 'dispersive', 'nature', 'leads', 'to', 'a', 'gain', 'in', 'regularity', 'for', 'the', 'solution', 'in', 'particular', 'if', 'the', 'initial', 'data', 'phi', 'possesses', 'certain', 'regularity', 'and', 'sufficient', 'decay', 'as', 'x', 'to', 'infty', 'then', 'the', 'solution', 'ut', 'will', 'be', 'smoother', 'than', 'phi', 'for', '0', 't', 'leq', 't', 'where', 't', 'is', 'the', 'existence', 'time', 'of', 'the', 'solution']] | [-0.1522137404685574, 0.09062675827715014, -0.1283284893525498, 0.03618687041369932, -0.058016836663175905, -0.14213347120343575, 0.0004143787315115333, 0.32136855979583095, -0.32927218110167555, -0.21205936283139246, 0.12277840731632231, -0.31026817192988737, -0.0940833104774356, 0.1265862725675106, -0.014482122406895672, 0.06066360687171774, 0.06698795195136752, 0.0883570149274809, -0.11807851818323667, -0.22708972902702435, 0.3098785446956754, -0.03424410274518388, 0.18480564512844597, 0.058948796817899815, 0.07849792606762744, -0.05131410002442343, 0.0900537574963112, -0.018711805396846363, -0.2564967741429947, -0.005392006185970136, 0.21492307468184402, 0.12086926801795406, 0.2901673841689314, -0.35265308309878624, -0.14388213284047588, 0.16007903459082756, 0.1559358647708515, 0.023838147507714375, -0.029230895332459893, -0.2634581711409347, 0.18685750528903944, -0.05866642258063491, -0.18846042774883764, -0.09289042253845504, 0.07260266978825841, 0.05619149604213557, -0.36085033624299934, 0.10303676139031137, 0.09362671604779149, -0.03514950480312109, -0.12288328717861857, -0.08093473040498793, -0.04402746164372989, 0.0433553643923785, 0.10574936733547864, 0.07173485896616642, 0.01048697026978646, -0.16977264005025583, 0.00567329714207777, 0.3380436361634305, -0.12063344506584274, -0.24167881892727955, 0.14687618564681282, -0.198473417373108, -0.12640319752639959, 0.1325769739691168, 0.16828290324525108, 0.17115653665470226, -0.13133822654240898, 0.18839676819126389, -0.05858924849224942, 0.19991419328642743, 0.11247572683330093, 0.06769353145334338, 0.043157421903950825, 0.157755998385671, 0.14732924962050414, 0.12771765221010095, -0.046815453699257756, -0.03209051226398774, -0.3953577635809779, -0.19249722006331596, -0.12254194601971125, 0.153680279199034, -0.09353598575086965, -0.12418549714077796, 0.35163018868437834, 0.16309691660904457, 0.2123179613213454, 0.06393843382663493, 0.20739752605025258, 0.16932399286971694, -0.028325581311115195, 0.10646637273021042, 0.18200907767750324, 0.13378999772415098, 0.17791176628587502, -0.22497094430561576, 0.0470924858402993, 0.09685299062569226] |
708.2103 | Spitzer IRS Observations of the Galactic Center: Shocked Gas in the
Radio Arc Bubble | We present Spitzer IRS spectra (R ~600, 10 - 38 micron) of 38 positions in
the Galactic Center (GC), all at the same Galactic longitude and spanning
plus/minus 0.3 degrees in latitude. Our positions include the Arches Cluster,
the Arched Filaments, regions near the Quintuplet Cluster, the ``Bubble'' lying
along the same line-of-sight as the molecular cloud G0.11-0.11, and the diffuse
interstellar gas along the line-of-sight at higher Galactic latitudes. From
measurements of the [O IV], [Ne II], [Ne III], [Si II], [S III], [S IV], [Fe
II], [Fe III], and H_2 S(0), S(1), and S(2) lines we determine the gas
excitation and ionic abundance ratios. The Ne/H and S/H abundance ratios are ~
1.6 times that of the Orion Nebula. The main source of excitation is
photoionization, with the Arches Cluster ionizing the Arched Filaments and the
Quintuplet Cluster ionizing the gas nearby and at lower Galactic latitudes
including the far side of the Bubble. In addition, strong shocks ionize gas to
O^{+3} and destroy dust grains, releasing iron into the gas phase (Fe/H ~ 1.3
times 10^{-6} in the Arched Filaments and Fe/H ~ 8.8 times 10^{-6} in the
Bubble). The shock effects are particularly noticeable in the center of the
Bubble, but O$^{+3}$ is present in all positions. We suggest that the shocks
are due to the winds from the Quintuplet Cluster Wolf-Rayet stars. On the other
hand, the H_2 line ratios can be explained with multi-component models of warm
molecular gas in photodissociation regions without the need for H_2 production
in shocks.
| astro-ph | we present spitzer irs spectra r 600 10 38 micron of 38 positions in the galactic center gc all at the same galactic longitude and spanning plusminus 03 degrees in latitude our positions include the arches cluster the arched filaments regions near the quintuplet cluster the bubble lying along the same lineofsight as the molecular cloud g011011 and the diffuse interstellar gas along the lineofsight at higher galactic latitudes from measurements of the o iv ne ii ne iii si ii s iii s iv fe ii fe iii and h_2 s0 s1 and s2 lines we determine the gas excitation and ionic abundance ratios the neh and sh abundance ratios are 16 times that of the orion nebula the main source of excitation is photoionization with the arches cluster ionizing the arched filaments and the quintuplet cluster ionizing the gas nearby and at lower galactic latitudes including the far side of the bubble in addition strong shocks ionize gas to o3 and destroy dust grains releasing iron into the gas phase feh 13 times 106 in the arched filaments and feh 88 times 106 in the bubble the shock effects are particularly noticeable in the center of the bubble but o3 is present in all positions we suggest that the shocks are due to the winds from the quintuplet cluster wolfrayet stars on the other hand the h_2 line ratios can be explained with multicomponent models of warm molecular gas in photodissociation regions without the need for h_2 production in shocks | [['we', 'present', 'spitzer', 'irs', 'spectra', 'r', '600', '10', '38', 'micron', 'of', '38', 'positions', 'in', 'the', 'galactic', 'center', 'gc', 'all', 'at', 'the', 'same', 'galactic', 'longitude', 'and', 'spanning', 'plusminus', '03', 'degrees', 'in', 'latitude', 'our', 'positions', 'include', 'the', 'arches', 'cluster', 'the', 'arched', 'filaments', 'regions', 'near', 'the', 'quintuplet', 'cluster', 'the', 'bubble', 'lying', 'along', 'the', 'same', 'lineofsight', 'as', 'the', 'molecular', 'cloud', 'g011011', 'and', 'the', 'diffuse', 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708.2104 | Internal Secular Evolution in Disk Galaxies: The Growth of Pseudobulges | Observational and theoretical evidence that internal, slow ("secular")
evolution reshapes galaxy disks is reviewed in Kormendy & Kennicutt (2004,
ARAA, 42, 603). This update has three aims. First, I emphasize that this
evolution is very general -- it is as fundamental to the evolution of galaxy
disks as (e.g.) core collapse is to globular clusters, as the production of hot
Jupiters is to the evolution of protoplanetary disks, and as evolution to red
giants containing proto-white-dwarfs is to stellar evolution. One consequence
for disk galaxies is the buildup of dense central components that get mistaken
for classical (i.e., merger-built) bulges but that were grown out of disk stars
and gas. We call these pseudobulges. Second, I review new results on
pseudobulge star formation and structure and on the distinction between boxy
and disky pseudobulges. Finally, I highlight how these results make a galaxy
formation problem more acute. How can hierarchical clustering produce so many
pure disk galaxies with no evidence for merger-built bulges?
| astro-ph | observational and theoretical evidence that internal slow secular evolution reshapes galaxy disks is reviewed in kormendy kennicutt 2004 araa 42 603 this update has three aims first i emphasize that this evolution is very general it is as fundamental to the evolution of galaxy disks as eg core collapse is to globular clusters as the production of hot jupiters is to the evolution of protoplanetary disks and as evolution to red giants containing protowhitedwarfs is to stellar evolution one consequence for disk galaxies is the buildup of dense central components that get mistaken for classical ie mergerbuilt bulges but that were grown out of disk stars and gas we call these pseudobulges second i review new results on pseudobulge star formation and structure and on the distinction between boxy and disky pseudobulges finally i highlight how these results make a galaxy formation problem more acute how can hierarchical clustering produce so many pure disk galaxies with no evidence for mergerbuilt bulges | [['observational', 'and', 'theoretical', 'evidence', 'that', 'internal', 'slow', 'secular', 'evolution', 'reshapes', 'galaxy', 'disks', 'is', 'reviewed', 'in', 'kormendy', 'kennicutt', '2004', 'araa', '42', '603', 'this', 'update', 'has', 'three', 'aims', 'first', 'i', 'emphasize', 'that', 'this', 'evolution', 'is', 'very', 'general', 'it', 'is', 'as', 'fundamental', 'to', 'the', 'evolution', 'of', 'galaxy', 'disks', 'as', 'eg', 'core', 'collapse', 'is', 'to', 'globular', 'clusters', 'as', 'the', 'production', 'of', 'hot', 'jupiters', 'is', 'to', 'the', 'evolution', 'of', 'protoplanetary', 'disks', 'and', 'as', 'evolution', 'to', 'red', 'giants', 'containing', 'protowhitedwarfs', 'is', 'to', 'stellar', 'evolution', 'one', 'consequence', 'for', 'disk', 'galaxies', 'is', 'the', 'buildup', 'of', 'dense', 'central', 'components', 'that', 'get', 'mistaken', 'for', 'classical', 'ie', 'mergerbuilt', 'bulges', 'but', 'that', 'were', 'grown', 'out', 'of', 'disk', 'stars', 'and', 'gas', 'we', 'call', 'these', 'pseudobulges', 'second', 'i', 'review', 'new', 'results', 'on', 'pseudobulge', 'star', 'formation', 'and', 'structure', 'and', 'on', 'the', 'distinction', 'between', 'boxy', 'and', 'disky', 'pseudobulges', 'finally', 'i', 'highlight', 'how', 'these', 'results', 'make', 'a', 'galaxy', 'formation', 'problem', 'more', 'acute', 'how', 'can', 'hierarchical', 'clustering', 'produce', 'so', 'many', 'pure', 'disk', 'galaxies', 'with', 'no', 'evidence', 'for', 'mergerbuilt', 'bulges']] | [-0.04806427529802022, 0.08514785306761041, -0.12415089316746161, 0.14147168799827342, -0.13570933080045505, -0.044724373055214525, -0.01118443116574781, 0.42022111637634224, -0.16080384803935885, -0.32186642872402443, 0.060343709573498924, -0.26990630717482417, -0.11415516609558836, 0.1642088765394874, -0.07001430773016182, -0.03799708725418895, 0.08180686433624942, -0.1345321079956193, -0.020600439107511193, -0.3060351349078701, 0.34506566828058566, 0.03567721903236816, 0.10150627859729866, -0.06543745027447585, -0.0034066080654156393, -0.10565768690794357, -0.06617065910213568, -0.04591136254603043, -0.1976107553791735, 0.024127995526578162, 0.24169971969677134, 0.18118157671269727, 0.2594150256962166, -0.4118912470643409, -0.17350504582864232, 0.04435505582368933, 0.25318226768167734, 0.06772551624453627, -0.12347104782575116, -0.18500897977137357, 0.10087601241248194, -0.18150609152071412, -0.13369978207629174, 0.01406943676120136, 0.10573195212418796, -0.005997227106126957, -0.18702402765520673, 0.1611786681933154, 0.13800515902694316, 0.0930339046564768, -0.08148841250222176, -0.08947730371364741, -0.09527248678496107, 0.0961012698506238, 0.01642423364610295, 0.07510196215880569, 0.23332227740320377, -0.12798884981893935, -0.045440541430434675, 0.43205470519606026, -0.04661590552605048, -0.02666239624086302, 0.2843796479399316, -0.20659986929385923, -0.20278912352805492, 0.04192859427130315, 0.15229766221309546, 0.06870525698031997, -0.13355783536426316, -0.022760643457149853, -0.038932502747047695, 0.201702562054561, 0.06556444048183038, 0.03326295713768559, 0.3600579210266005, 0.11668093501939439, 0.034914902129048644, 0.08878879679177772, -0.1395557599433232, -0.12806668986449948, -0.20583687163889408, -0.13664154833895736, -0.10770236423850292, 0.09162872308515943, -0.12001145711928984, -0.1441207098250743, 0.29904005221924307, 0.05628173897675879, 0.22936764130863593, 0.04867381374933757, 0.292262432735879, 0.03808134424471064, 0.1046940872696723, 0.13460543477267492, 0.28431868147163186, 0.20699517245375318, 0.07342242495797109, -0.25326332232380083, 0.10044319650623948, -0.010447572867269628] |
708.2105 | Attribute Estimation and Testing Quasi-Symmetry | A Boolean function is symmetric if it is invariant under all permutations of
its arguments; it is quasi-symmetric if it is symmetric with respect to the
arguments on which it actually depends. We present a test that accepts every
quasi-symmetric function and, except with an error probability at most delta>0,
rejects every function that differs from every quasi-symmetric function on at
least a fraction epsilon>0 of the inputs. For a function of n arguments, the
test probes the function at O((n/epsilon)\log(n/delta)) inputs. Our
quasi-symmetry test acquires information concerning the arguments on which the
function actually depends. To do this, it employs a generalization of the
property testing paradigm that we call attribute estimation. Like property
testing, attribute estimation uses random sampling to obtain results that have
only "one-sided'' errors and that are close to accurate with high probability.
| cs.CC | a boolean function is symmetric if it is invariant under all permutations of its arguments it is quasisymmetric if it is symmetric with respect to the arguments on which it actually depends we present a test that accepts every quasisymmetric function and except with an error probability at most delta0 rejects every function that differs from every quasisymmetric function on at least a fraction epsilon0 of the inputs for a function of n arguments the test probes the function at onepsilonlogndelta inputs our quasisymmetry test acquires information concerning the arguments on which the function actually depends to do this it employs a generalization of the property testing paradigm that we call attribute estimation like property testing attribute estimation uses random sampling to obtain results that have only onesided errors and that are close to accurate with high probability | [['a', 'boolean', 'function', 'is', 'symmetric', 'if', 'it', 'is', 'invariant', 'under', 'all', 'permutations', 'of', 'its', 'arguments', 'it', 'is', 'quasisymmetric', 'if', 'it', 'is', 'symmetric', 'with', 'respect', 'to', 'the', 'arguments', 'on', 'which', 'it', 'actually', 'depends', 'we', 'present', 'a', 'test', 'that', 'accepts', 'every', 'quasisymmetric', 'function', 'and', 'except', 'with', 'an', 'error', 'probability', 'at', 'most', 'delta0', 'rejects', 'every', 'function', 'that', 'differs', 'from', 'every', 'quasisymmetric', 'function', 'on', 'at', 'least', 'a', 'fraction', 'epsilon0', 'of', 'the', 'inputs', 'for', 'a', 'function', 'of', 'n', 'arguments', 'the', 'test', 'probes', 'the', 'function', 'at', 'onepsilonlogndelta', 'inputs', 'our', 'quasisymmetry', 'test', 'acquires', 'information', 'concerning', 'the', 'arguments', 'on', 'which', 'the', 'function', 'actually', 'depends', 'to', 'do', 'this', 'it', 'employs', 'a', 'generalization', 'of', 'the', 'property', 'testing', 'paradigm', 'that', 'we', 'call', 'attribute', 'estimation', 'like', 'property', 'testing', 'attribute', 'estimation', 'uses', 'random', 'sampling', 'to', 'obtain', 'results', 'that', 'have', 'only', 'onesided', 'errors', 'and', 'that', 'are', 'close', 'to', 'accurate', 'with', 'high', 'probability']] | [-0.09087217304801201, 0.09164214597254003, -0.1363946680509805, 0.08059770663279062, -0.08145255659686497, -0.18203238425028584, 0.07110792630943504, 0.36767783527174136, -0.2548997573610599, -0.24835265022541064, 0.09287453403383711, -0.29186607509457174, -0.1662350951143316, 0.2149531616885419, -0.08445091088757897, 0.03300874551501547, 0.051620224820463544, 0.08557518512472836, -0.10552057255243026, -0.23151762717247118, 0.319428225969012, 0.04532626696121301, 0.26734815036366444, 0.04100192003895318, 0.1511346612458736, 0.03396101934277881, -0.010311558625123797, -0.0038854710971868603, -0.1312847308212586, 0.025307785403527266, 0.19010580254949794, 0.1911531832225512, 0.3147301885476132, -0.3103385116825523, -0.1381611812606549, 0.15533124344817695, 0.07046604701351837, 0.07409434464596973, -0.03355255956425039, -0.21012180233306257, 0.14956674386363095, -0.12649321817813347, -0.12878408442747635, -0.04780057158973748, 0.05485311351261054, 0.03379560243780215, -0.3538570573016403, 0.04596873636554628, 0.09601020855135727, 0.0014538261976754156, -0.005524012930589272, -0.09679241219440299, -0.01584581217225505, 0.10366235011644716, 0.0369911833401144, 0.12435347349705841, 0.12721628605525764, -0.09704440829928719, -0.09756005198667574, 0.361205506022938, -0.028642156030506873, -0.2858187443964238, 0.1694404896022412, -0.17965900927890827, -0.18733759899453742, 0.1060144558623705, 0.09874730970976911, 0.11313736944987922, -0.0698371007426703, 0.1013605795336724, -0.13910421645472737, 0.21898309995732984, 0.08179995816338631, 0.036235393089561786, 0.18263177154245822, 0.09359307410399409, 0.1276177241548515, 0.15027711725195558, -0.0345003302022135, -0.03579909614470862, -0.32888511704947176, -0.12424284365569006, -0.2448672600418506, 0.045413707729673736, -0.11321600886162908, -0.2209209268402825, 0.3551893937299504, 0.1573448240634625, 0.1888467063056645, 0.14998757346519642, 0.28165129330145183, 0.13536664278307645, 0.08298754627156975, 0.10107614280805535, 0.18336792031887675, 0.10346559912177061, -0.01225076896991635, -0.1284365815129199, 0.1561422850970641, 0.09337054612932907] |
708.2106 | How common are long Gamma-Ray Bursts in the Local Universe? | The two closest Gamma-Ray Bursts so far detected (GRBs 980425 & 060218) were
both under-luminous, spectrally soft, long duration bursts with smooth,
single-peaked light curves. Only of the order of 100 GRBs have measured
redshifts, and there are, for example, 2704 GRBs in the BATSE catalogue alone.
It is therefore plausible that other nearby GRBs have been observed but not
identified as relatively nearby. Here we search for statistical correlations
between BATSE long duration GRBs and galaxy samples with recession velocities v
<= 11,000 km/s (z = 0.0367, ~ 155 Mpc) selected from two catalogues of nearby
galaxies. We also examine the correlations using burst sub-samples restricted
to those with properties similar to the two known nearby bursts. Our results
show correlation of the entire long GRB sample to remain consistent with zero
out to the highest radii considered whereas a sub-sample selected to be low
fluence, spectrally soft, with smooth single-peaked light curves (177 bursts)
demonstrates increased correlation with galaxies within ~ 155 Mpc. The measured
correlation (28% +/- 16% of the sample) suggests that BATSE observed between 2
and 9 long duration GRBs per year similar to, and from within similar distances
to GRBs 980425 and 060218. This implies an observed local rate density (to
BATSE limits) of 700 +/- 360 Gpc^{-3}yr^{-1} within 155 Mpc.
| astro-ph | the two closest gammaray bursts so far detected grbs 980425 060218 were both underluminous spectrally soft long duration bursts with smooth singlepeaked light curves only of the order of 100 grbs have measured redshifts and there are for example 2704 grbs in the batse catalogue alone it is therefore plausible that other nearby grbs have been observed but not identified as relatively nearby here we search for statistical correlations between batse long duration grbs and galaxy samples with recession velocities v 11000 kms z 00367 155 mpc selected from two catalogues of nearby galaxies we also examine the correlations using burst subsamples restricted to those with properties similar to the two known nearby bursts our results show correlation of the entire long grb sample to remain consistent with zero out to the highest radii considered whereas a subsample selected to be low fluence spectrally soft with smooth singlepeaked light curves 177 bursts demonstrates increased correlation with galaxies within 155 mpc the measured correlation 28 16 of the sample suggests that batse observed between 2 and 9 long duration grbs per year similar to and from within similar distances to grbs 980425 and 060218 this implies an observed local rate density to batse limits of 700 360 gpc3yr1 within 155 mpc | [['the', 'two', 'closest', 'gammaray', 'bursts', 'so', 'far', 'detected', 'grbs', '980425', '060218', 'were', 'both', 'underluminous', 'spectrally', 'soft', 'long', 'duration', 'bursts', 'with', 'smooth', 'singlepeaked', 'light', 'curves', 'only', 'of', 'the', 'order', 'of', '100', 'grbs', 'have', 'measured', 'redshifts', 'and', 'there', 'are', 'for', 'example', '2704', 'grbs', 'in', 'the', 'batse', 'catalogue', 'alone', 'it', 'is', 'therefore', 'plausible', 'that', 'other', 'nearby', 'grbs', 'have', 'been', 'observed', 'but', 'not', 'identified', 'as', 'relatively', 'nearby', 'here', 'we', 'search', 'for', 'statistical', 'correlations', 'between', 'batse', 'long', 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708.2107 | Quantum glass phases in the disordered Bose-Hubbard model | The phase diagram of the Bose-Hubbard model in the presence of off-diagonal
disorder is determined using Quantum Monte Carlo simulations. A sequence of
quantum glass phases intervene at the interface between the Mott insulating and
the Superfluid phases of the clean system. In addition to the standard Bose
glass phase, the coexistence of gapless and gapped regions close to the Mott
insulating phase leads to a novel Mott glass regime which is incompressible yet
gapless. Numerical evidence for the properties of these phases is given in
terms of global (compressibility, superfluid stiffness) and local
(compressibility, momentum distribution) observables.
| cond-mat.dis-nn | the phase diagram of the bosehubbard model in the presence of offdiagonal disorder is determined using quantum monte carlo simulations a sequence of quantum glass phases intervene at the interface between the mott insulating and the superfluid phases of the clean system in addition to the standard bose glass phase the coexistence of gapless and gapped regions close to the mott insulating phase leads to a novel mott glass regime which is incompressible yet gapless numerical evidence for the properties of these phases is given in terms of global compressibility superfluid stiffness and local compressibility momentum distribution observables | [['the', 'phase', 'diagram', 'of', 'the', 'bosehubbard', 'model', 'in', 'the', 'presence', 'of', 'offdiagonal', 'disorder', 'is', 'determined', 'using', 'quantum', 'monte', 'carlo', 'simulations', 'a', 'sequence', 'of', 'quantum', 'glass', 'phases', 'intervene', 'at', 'the', 'interface', 'between', 'the', 'mott', 'insulating', 'and', 'the', 'superfluid', 'phases', 'of', 'the', 'clean', 'system', 'in', 'addition', 'to', 'the', 'standard', 'bose', 'glass', 'phase', 'the', 'coexistence', 'of', 'gapless', 'and', 'gapped', 'regions', 'close', 'to', 'the', 'mott', 'insulating', 'phase', 'leads', 'to', 'a', 'novel', 'mott', 'glass', 'regime', 'which', 'is', 'incompressible', 'yet', 'gapless', 'numerical', 'evidence', 'for', 'the', 'properties', 'of', 'these', 'phases', 'is', 'given', 'in', 'terms', 'of', 'global', 'compressibility', 'superfluid', 'stiffness', 'and', 'local', 'compressibility', 'momentum', 'distribution', 'observables']] | [-0.18447533401432542, 0.2776066051910118, -0.12231850579656585, 0.007395591561882091, 0.02374673458006309, -0.17214437467711313, 0.09517380243823008, 0.330075436594839, -0.24220554133382988, -0.2083323604560324, 0.03588607819033406, -0.32354722172021866, -0.11301294866265083, 0.06754928814218741, 0.04832217196116642, 0.07061721259675806, -0.04950341701089424, -0.08160889783294453, -0.2024032270478807, -0.1972393392946343, 0.2944254448105182, -0.03667204897632176, 0.3270398693216242, 0.07041926348429857, 0.021093357972116495, -0.02600889419899227, 0.14385620232556273, 0.0011940656077800964, -0.21367380986161225, -0.04221070411482027, 0.2784958086808079, -0.11876487684417136, 0.13978182522542015, -0.4184029154593543, -0.20188461302076371, 0.08181137697086954, 0.1686826629697212, 0.1402801750738611, -0.04935090825655403, -0.34112411921805874, -0.012256006322972173, -0.2254606845862308, -0.1500225168538793, -0.1271340826488271, -0.03453429682864523, -0.027707509829529693, -0.237504815640004, 0.18120524195992216, 0.054052347269821534, 0.0912851956934307, -0.06827019690535963, -0.057253087460947205, -0.07325268277366247, 0.11773349741611591, 0.0160511313956611, 0.05592962261289358, 0.1251025140447048, -0.2090640953190777, -0.06583294646852479, 0.37053482160352325, -0.003870192247594954, -0.09211996762047531, 0.24117894266370912, -0.1844028237170946, -0.03423248764070473, 0.2209306602147693, 0.07259640522415237, 0.034456026692855725, -0.0933019018884064, 0.061192391140918644, -0.02301481170152143, 0.19296390841696032, -0.09176074780466757, 0.06952387266507258, 0.32274367850825036, 0.2261901131584024, 0.024705139758559515, 0.21438602709724586, -0.1119376716105391, -0.17531600811195616, -0.2707866803856985, -0.20127034105588587, -0.2908485595431483, -0.050823740561359694, -0.11834430419890404, -0.2501076228004329, 0.42033101959458113, 0.16908789777353747, 0.14759391392296067, -0.04303555384786723, 0.2643224632899676, 0.09144421615542805, -0.02629041867995901, 0.03607103006192008, 0.26890360151788184, 0.18724842323940627, 0.11449643569447253, -0.3050789412690745, 0.06774103807342448, 0.13687566065286494] |
708.2108 | Morphological effects on surface plasmon polaritons at the planar
interface of a metal and a columnar thin film The Planar Interface Of A Metal
And A Columnar Thin Film | Surface plasmon polaritons (SPPs) at the interface of a columnar thin film
(CTF) and metal exist over a range of propagation directions relative to the
morphology of the CTF which depends on the tilt of the columns in the CTF. The
phase speed of the SPP wave varies mainly as a function of the tilt of the CTF
columns. Both the confinement of the SPP wave to the interface and the decay of
the SPP wave along the direction of propagation depend strongly on the
direction of propagation relative to the morphologically significant plane of
the CTF. The greater the columnar tilt in relation to the interface, the
shorter is the range of propagation. Because of its porosity and the ability to
engineer this biaxial dielectric material, the CTF-metal interface may be more
attractive than traditional methods of producing SPPs.
| physics.optics | surface plasmon polaritons spps at the interface of a columnar thin film ctf and metal exist over a range of propagation directions relative to the morphology of the ctf which depends on the tilt of the columns in the ctf the phase speed of the spp wave varies mainly as a function of the tilt of the ctf columns both the confinement of the spp wave to the interface and the decay of the spp wave along the direction of propagation depend strongly on the direction of propagation relative to the morphologically significant plane of the ctf the greater the columnar tilt in relation to the interface the shorter is the range of propagation because of its porosity and the ability to engineer this biaxial dielectric material the ctfmetal interface may be more attractive than traditional methods of producing spps | [['surface', 'plasmon', 'polaritons', 'spps', 'at', 'the', 'interface', 'of', 'a', 'columnar', 'thin', 'film', 'ctf', 'and', 'metal', 'exist', 'over', 'a', 'range', 'of', 'propagation', 'directions', 'relative', 'to', 'the', 'morphology', 'of', 'the', 'ctf', 'which', 'depends', 'on', 'the', 'tilt', 'of', 'the', 'columns', 'in', 'the', 'ctf', 'the', 'phase', 'speed', 'of', 'the', 'spp', 'wave', 'varies', 'mainly', 'as', 'a', 'function', 'of', 'the', 'tilt', 'of', 'the', 'ctf', 'columns', 'both', 'the', 'confinement', 'of', 'the', 'spp', 'wave', 'to', 'the', 'interface', 'and', 'the', 'decay', 'of', 'the', 'spp', 'wave', 'along', 'the', 'direction', 'of', 'propagation', 'depend', 'strongly', 'on', 'the', 'direction', 'of', 'propagation', 'relative', 'to', 'the', 'morphologically', 'significant', 'plane', 'of', 'the', 'ctf', 'the', 'greater', 'the', 'columnar', 'tilt', 'in', 'relation', 'to', 'the', 'interface', 'the', 'shorter', 'is', 'the', 'range', 'of', 'propagation', 'because', 'of', 'its', 'porosity', 'and', 'the', 'ability', 'to', 'engineer', 'this', 'biaxial', 'dielectric', 'material', 'the', 'ctfmetal', 'interface', 'may', 'be', 'more', 'attractive', 'than', 'traditional', 'methods', 'of', 'producing', 'spps']] | [-0.15137286765899563, 0.17963016796991121, -0.07307633973922742, -0.022085688378420665, -0.10054341530119129, -0.055650716955713234, 0.008644314925018833, 0.4155482959082658, -0.3015659187364278, -0.2797344655481924, 0.04667828003239396, -0.2577687664185282, -0.11057162890043244, 0.18653632003961385, 0.04205435306745039, 0.02153497927599392, -0.03821115462417654, -0.041867009772778414, -0.07252914186319162, -0.15341347303214692, 0.28143464767193194, 0.057430726496114144, 0.36402018420002924, 0.08065057956955309, 0.06426709557702537, 0.026407910584599424, 0.04249132588746951, -0.022334753967848398, -0.12384970218492605, 0.14423738850830056, 0.18358640228029635, -0.0020593629828352723, 0.20742830886043234, -0.44228010969035486, -0.2006179883392702, -0.0011306370025594458, 0.17809438268593747, 0.11190841388436396, -0.041728320187012155, -0.2781704954749389, 0.049350726723054544, -0.07204403993656872, -0.13515516202025812, 0.09563801583009872, 0.004420400942213458, 0.05841985009208643, -0.19859263858223575, 0.05894879640327941, 0.07089914847552699, 0.03639592507455444, -0.03296581223664015, -0.10185801382042575, -0.1122010453577361, 0.07625361902156857, 0.12068299895735364, 0.08082888365837096, 0.16427097859852713, -0.17821949046178848, -0.01752663114972466, 0.4157536043886015, -0.05150313644635193, -0.19967139201412956, 0.21897687915571892, -0.19000984879508748, 0.09148703205312113, 0.21081274424565674, 0.2549733859939139, 0.11242214218117029, -0.048068867376570006, 0.008758729374414752, 0.0018041686647154538, 0.2030125553208812, 0.1264464849632957, 0.015526300899202018, 0.2129550719660499, 0.17784041700643494, 0.0707855720831778, 0.14707900949489164, -0.15911004105716836, -0.02471657611912103, -0.2588601352231537, -0.2224042382922104, -0.17920944167438413, -0.06141256039747348, -0.14794260887531716, -0.2613644039378964, 0.4778928581772627, 0.12247482102394452, 0.16316674047035815, 0.011147799808699503, 0.269303300183454, 0.09609783238399666, 0.08516533069459976, 0.020846414301048617, 0.33318496598667807, 0.14779830781454822, 0.10474775605694736, -0.269164896844434, 0.13954009255729347, -0.0154568653088063] |
708.2109 | Computing arithmetic invariants for hyperbolic reflection groups | We describe a collection of computer scripts written in PARI/GP to compute,
for reflection groups determined by finite-volume polyhedra in $\mathbb{H}^3$,
the commensurability invariants known as the invariant trace field and
invariant quaternion algebra. Our scripts also allow one to determine
arithmeticity of such groups and the isomorphism class of the invariant
quaternion algebra by analyzing its ramification.
We present many computed examples of these invariants. This is enough to show
that most of the groups that we consider are pairwise incommensurable. For
pairs of groups with identical invariants, not all is lost: when both groups
are arithmetic, having identical invariants guarantees commensurability. We
discover many ``unexpected'' commensurable pairs this way. We also present a
non-arithmetic pair with identical invariants for which we cannot determine
commensurability.
| math.GT math.DG | we describe a collection of computer scripts written in parigp to compute for reflection groups determined by finitevolume polyhedra in mathbbh3 the commensurability invariants known as the invariant trace field and invariant quaternion algebra our scripts also allow one to determine arithmeticity of such groups and the isomorphism class of the invariant quaternion algebra by analyzing its ramification we present many computed examples of these invariants this is enough to show that most of the groups that we consider are pairwise incommensurable for pairs of groups with identical invariants not all is lost when both groups are arithmetic having identical invariants guarantees commensurability we discover many unexpected commensurable pairs this way we also present a nonarithmetic pair with identical invariants for which we cannot determine commensurability | [['we', 'describe', 'a', 'collection', 'of', 'computer', 'scripts', 'written', 'in', 'parigp', 'to', 'compute', 'for', 'reflection', 'groups', 'determined', 'by', 'finitevolume', 'polyhedra', 'in', 'mathbbh3', 'the', 'commensurability', 'invariants', 'known', 'as', 'the', 'invariant', 'trace', 'field', 'and', 'invariant', 'quaternion', 'algebra', 'our', 'scripts', 'also', 'allow', 'one', 'to', 'determine', 'arithmeticity', 'of', 'such', 'groups', 'and', 'the', 'isomorphism', 'class', 'of', 'the', 'invariant', 'quaternion', 'algebra', 'by', 'analyzing', 'its', 'ramification', 'we', 'present', 'many', 'computed', 'examples', 'of', 'these', 'invariants', 'this', 'is', 'enough', 'to', 'show', 'that', 'most', 'of', 'the', 'groups', 'that', 'we', 'consider', 'are', 'pairwise', 'incommensurable', 'for', 'pairs', 'of', 'groups', 'with', 'identical', 'invariants', 'not', 'all', 'is', 'lost', 'when', 'both', 'groups', 'are', 'arithmetic', 'having', 'identical', 'invariants', 'guarantees', 'commensurability', 'we', 'discover', 'many', 'unexpected', 'commensurable', 'pairs', 'this', 'way', 'we', 'also', 'present', 'a', 'nonarithmetic', 'pair', 'with', 'identical', 'invariants', 'for', 'which', 'we', 'can', 'not', 'determine', 'commensurability']] | [-0.21698806333670936, 0.1158478465737907, -0.10060451940567357, 0.11410229650920066, -0.09153812842656249, -0.15350086166794727, -0.02037489284233256, 0.37877707708421654, -0.31244259327375073, -0.32917337665173013, 0.08781563630694245, -0.2622553287293967, -0.1709884830657026, 0.21969399206692308, -0.11941046416979488, 0.010600867441499708, 0.06454559687825698, 0.08321566203440445, -0.09468492288802435, -0.29976413737227187, 0.3610840328028572, -0.07958201767040754, 0.18324977200749645, 0.024810325431336804, 0.07173863351051732, 0.009082530793829226, -0.05004337608381578, 0.013687082909150269, -0.1456812251883781, 0.12975576088587776, 0.32500866481550333, 0.06248606374765944, 0.13245440743804918, -0.35597934617154947, -0.10782176743840843, 0.173272981448649, 0.1626225797102904, 0.07664971572656815, -0.05027991617245116, -0.2625646990225247, 0.1403111071586169, -0.15928243919400367, -0.13436924468168593, -0.13859394127429706, 0.04483851057194965, 0.03279014435545431, -0.16619684258989226, -0.004628875549959649, 0.07252850798581999, 0.1423566192608532, -0.03864573212395474, -0.07740674175754718, -0.026191412817730797, 0.1774544670729161, 0.019130518395035698, -0.03916882312541285, 0.09833534145141094, -0.05169740893445381, -0.14508698217013455, 0.4269585553116686, -0.01775000225862591, -0.22893816600512443, 0.20869524428606268, -0.17395685372808142, -0.2237431302989327, 0.12572008543684493, 0.13165944621084244, 0.12252389620549566, -0.09844768003207231, 0.09285811647886455, -0.12727066614907087, 0.11025819607907686, 0.09729868223282002, 0.0010878442654635493, 0.1631984380183844, 0.0016440890131767575, 0.054925652234595064, 0.17816955961404354, 0.04642470261287384, -0.015388493657141454, -0.3419586557924278, -0.19886143326275343, -0.12204011358361046, 0.06818335680093976, -0.052270336850045805, -0.1893116977032802, 0.40538067776915127, 0.09460882604576823, 0.1579221811754662, 0.1332340854060594, 0.21809328305645018, 0.05662028776393749, 0.12592979134463772, 0.08793209864955953, 0.13371489747742735, 0.15493035416566128, -0.06365610870320028, -0.15459147022164418, -0.01872377955230085, 0.14259750489145517] |
708.211 | Precision polarimetry with real-time mitigation of optical-window
birefringence | Optical-window birefringence is frequently a major obstacle in experiments
measuring changes in the polarization state of light traversing a sample under
investigation. It can contribute a signal indistinguishable from that due to
the sample and complicate the analysis. Here, we explore a method to measure
and compensate for the birefringence of an optical window using the reflection
from the last optical surface before the sample. We demonstrate that this
arrangement can cancel out false signals due to the optical-window
birefringence-induced ellipticity drift to about 1%, for the values of total
ellipticity less than 0.25 rad.
| physics.optics | opticalwindow birefringence is frequently a major obstacle in experiments measuring changes in the polarization state of light traversing a sample under investigation it can contribute a signal indistinguishable from that due to the sample and complicate the analysis here we explore a method to measure and compensate for the birefringence of an optical window using the reflection from the last optical surface before the sample we demonstrate that this arrangement can cancel out false signals due to the opticalwindow birefringenceinduced ellipticity drift to about 1 for the values of total ellipticity less than 025 rad | [['opticalwindow', 'birefringence', 'is', 'frequently', 'a', 'major', 'obstacle', 'in', 'experiments', 'measuring', 'changes', 'in', 'the', 'polarization', 'state', 'of', 'light', 'traversing', 'a', 'sample', 'under', 'investigation', 'it', 'can', 'contribute', 'a', 'signal', 'indistinguishable', 'from', 'that', 'due', 'to', 'the', 'sample', 'and', 'complicate', 'the', 'analysis', 'here', 'we', 'explore', 'a', 'method', 'to', 'measure', 'and', 'compensate', 'for', 'the', 'birefringence', 'of', 'an', 'optical', 'window', 'using', 'the', 'reflection', 'from', 'the', 'last', 'optical', 'surface', 'before', 'the', 'sample', 'we', 'demonstrate', 'that', 'this', 'arrangement', 'can', 'cancel', 'out', 'false', 'signals', 'due', 'to', 'the', 'opticalwindow', 'birefringenceinduced', 'ellipticity', 'drift', 'to', 'about', '1', 'for', 'the', 'values', 'of', 'total', 'ellipticity', 'less', 'than', '025', 'rad']] | [-0.07612112678727635, 0.1337281411818181, -0.09943606361236063, 0.03147400282723929, -0.05656025332138343, -0.06637674824444838, 0.07338843419797399, 0.4112208349409924, -0.2673870947171924, -0.34824513815223207, 0.11283648976184908, -0.29912759189403826, -0.12066288189762221, 0.2179457621889249, -0.07473075548587467, 0.02427814051090184, 0.032359440320281575, -0.03016087611115748, -0.06626861877439003, -0.17680588494973778, 0.2748807531441011, 0.06766840361399196, 0.27182370137363193, 0.02651820683498837, 0.10045721302164458, 0.027647579217740203, -0.05016684069508506, 0.02022049187492299, -0.08517330621637689, 0.06458135391280408, 0.19495926073111433, 0.07238217169338818, 0.2429360940611811, -0.38046425099177, -0.18708203833109588, 0.14924681360923475, 0.11564216937967425, 0.15971415382759865, -0.06129960621637042, -0.27353606263415947, 0.08802362039474951, -0.0875926515618239, -0.1361913640272393, -0.028975856655667865, 0.036124936234886926, -0.009152743395828512, -0.2487479078293007, 0.08181145506590524, 0.0438504969796306, 0.036032244523045834, -0.0494613984940193, -0.08691140380437656, -0.0019517893933000104, 0.08645413864043451, 0.0687816552342146, 0.04446576590529613, 0.15814875916738103, -0.12632626600773825, -0.054743751322710386, 0.3784293782927336, -0.06809131805963378, -0.13785215812705218, 0.12197664598633925, -0.21203693708965696, -0.05485475465895668, 0.20208812100432252, 0.22558242426083613, 0.09079241451196453, -0.1287585557338291, -0.008221613775227739, 0.008603250167222434, 0.24471031564853646, 0.1031764016601868, 0.04256561506784932, 0.23440944801975963, 0.12502353220817544, 0.0829852535940146, 0.13927168460182285, -0.16823483706121484, -0.00047435537381197815, -0.287019411514398, -0.1650229848768582, -0.15179833749269125, 0.07376952135249451, -0.059861439219813656, -0.09595813213657307, 0.3872389444901097, 0.20545910009413318, 0.20565252819208688, -0.00859590221737181, 0.33072885612566627, 0.10386033530937888, 0.09951063585642886, 0.013888037625840434, 0.31617594726624026, 0.13903303724783722, 0.05713968666931314, -0.23679663839760007, 0.09838055131796708, -0.06920143405616444] |
708.2111 | 3D Spectroscopy and the Virtual Observatory | Integral field, or 3D, spectroscopy is the technique of obtaining spectral
information over a two-dimensional, hopefully contiguous, field of view. While
there is some form of astronomical 3D spectroscopy at all wavelengths, there
has been a rapid increase in interest in optical and near-infrared 3D
spectroscopy. This has resulted in the deployment of a large variety of
integral-field spectrographs on most of the large optical/infrared telescopes.
The amount of IFU data available in observatory archives is large and growing
rapidly. The complications of treating IFU data as both imaging and
spectroscopy make it a special challenge for the virtual observatory. This
article describes the various techniques of optical and near-infrared
spectroscopy and some of the general needs and issues related to the handling
of 3D data by the virtual observatory.
| astro-ph | integral field or 3d spectroscopy is the technique of obtaining spectral information over a twodimensional hopefully contiguous field of view while there is some form of astronomical 3d spectroscopy at all wavelengths there has been a rapid increase in interest in optical and nearinfrared 3d spectroscopy this has resulted in the deployment of a large variety of integralfield spectrographs on most of the large opticalinfrared telescopes the amount of ifu data available in observatory archives is large and growing rapidly the complications of treating ifu data as both imaging and spectroscopy make it a special challenge for the virtual observatory this article describes the various techniques of optical and nearinfrared spectroscopy and some of the general needs and issues related to the handling of 3d data by the virtual observatory | [['integral', 'field', 'or', '3d', 'spectroscopy', 'is', 'the', 'technique', 'of', 'obtaining', 'spectral', 'information', 'over', 'a', 'twodimensional', 'hopefully', 'contiguous', 'field', 'of', 'view', 'while', 'there', 'is', 'some', 'form', 'of', 'astronomical', '3d', 'spectroscopy', 'at', 'all', 'wavelengths', 'there', 'has', 'been', 'a', 'rapid', 'increase', 'in', 'interest', 'in', 'optical', 'and', 'nearinfrared', '3d', 'spectroscopy', 'this', 'has', 'resulted', 'in', 'the', 'deployment', 'of', 'a', 'large', 'variety', 'of', 'integralfield', 'spectrographs', 'on', 'most', 'of', 'the', 'large', 'opticalinfrared', 'telescopes', 'the', 'amount', 'of', 'ifu', 'data', 'available', 'in', 'observatory', 'archives', 'is', 'large', 'and', 'growing', 'rapidly', 'the', 'complications', 'of', 'treating', 'ifu', 'data', 'as', 'both', 'imaging', 'and', 'spectroscopy', 'make', 'it', 'a', 'special', 'challenge', 'for', 'the', 'virtual', 'observatory', 'this', 'article', 'describes', 'the', 'various', 'techniques', 'of', 'optical', 'and', 'nearinfrared', 'spectroscopy', 'and', 'some', 'of', 'the', 'general', 'needs', 'and', 'issues', 'related', 'to', 'the', 'handling', 'of', '3d', 'data', 'by', 'the', 'virtual', 'observatory']] | [-0.09081554860593034, 0.08236528035038365, -0.05413656081968488, 0.016183662032171225, -0.10793469770668218, -0.09800877139115563, 0.015137324582498807, 0.4122913989827234, -0.22739880822616845, -0.3314993873740045, 0.16279923430500695, -0.32187381606155, -0.11491407612517762, 0.2775213530842358, -0.046470072471465056, 0.055836873203336905, 0.12346169664703596, -0.06996097485534847, -0.013396006507369189, -0.2113973229048917, 0.3212547532855891, 0.08860550986316341, 0.2699639530064395, 0.04105401562096981, 0.11902541129831941, 0.03212530842910592, -0.13150321930969278, 0.0056487535771269064, -0.09290455063231863, 0.1499425503102919, 0.31676731447760875, 0.16272912400667197, 0.3020041642782207, -0.41376043897695264, -0.20769340021249194, 0.06036447433826442, 0.14534803305645116, 0.08243426556090036, -0.08575669257507589, -0.26030795838361465, 0.021522479789116634, -0.12074107700206627, -0.1794837175617711, -0.04322282235460499, 0.008938048957273938, 0.029332219049459898, -0.22243365716332428, -0.035827958268614915, -0.08448839520748991, 0.17071597650647163, -0.12099666319465122, -0.05697837898131603, -0.0005231584914816686, 0.17126909158586595, 0.006174174115921443, 0.08713849677543084, 0.03692057481250511, -0.21107718701331088, -0.029691770314597167, 0.39190947568187345, -0.0511605898079534, -0.0484456377533766, 0.19518396704672622, -0.20899906781537889, -0.16913419297824686, 0.16256247578018632, 0.15646610789251728, 0.13552942193077447, -0.1744490031941006, 0.11433745745766478, -0.03886540635990409, 0.17093537222020902, 0.04004522286570416, 0.11229407777606797, 0.23800271920089683, 0.18042129860259593, 0.01408924817537459, 0.10143003463745118, -0.25020487662942076, -0.0304713097293503, -0.2148893014384577, -0.19718511051211793, -0.18688132311665237, 0.054417779805281986, -0.07957093554768317, -0.15421192694741945, 0.3673887523947857, 0.15207290780067872, 0.1577923030914882, -0.029230575485584828, 0.36384923357086685, 0.05055375926178665, 0.17776086728016918, -0.015797875771442284, 0.24486164548747744, 0.09565269879172915, 0.1940605958431171, -0.1782563694815438, -0.009024938525488744, -0.01963212577482829] |
708.2112 | In-Medium Hadronic Interactions and the Nuclear Equation of State | Microscopic studies of nuclear matter under diverse conditions of density and
asymmetry are of great contemporary interest. Concerning terrestrial
applications, they relate to future experimental facilities that will make it
possible to study systems with extreme neutron-to-proton ratio. In this talk, I
will review recent efforts of my group aimed at exploring nuclear interactions
in the medium through the nuclear equation of state (EoS). The approach we take
is microscopic and relativistic, with the predicted EoS properties derived from
realistic nucleon-nucleon potentials. I will also discuss work in progress.
Most recently, we completed a DBHF calculation of the $\Lambda$ hyperon binding
energy in nuclear matter.
| nucl-th | microscopic studies of nuclear matter under diverse conditions of density and asymmetry are of great contemporary interest concerning terrestrial applications they relate to future experimental facilities that will make it possible to study systems with extreme neutrontoproton ratio in this talk i will review recent efforts of my group aimed at exploring nuclear interactions in the medium through the nuclear equation of state eos the approach we take is microscopic and relativistic with the predicted eos properties derived from realistic nucleonnucleon potentials i will also discuss work in progress most recently we completed a dbhf calculation of the lambda hyperon binding energy in nuclear matter | [['microscopic', 'studies', 'of', 'nuclear', 'matter', 'under', 'diverse', 'conditions', 'of', 'density', 'and', 'asymmetry', 'are', 'of', 'great', 'contemporary', 'interest', 'concerning', 'terrestrial', 'applications', 'they', 'relate', 'to', 'future', 'experimental', 'facilities', 'that', 'will', 'make', 'it', 'possible', 'to', 'study', 'systems', 'with', 'extreme', 'neutrontoproton', 'ratio', 'in', 'this', 'talk', 'i', 'will', 'review', 'recent', 'efforts', 'of', 'my', 'group', 'aimed', 'at', 'exploring', 'nuclear', 'interactions', 'in', 'the', 'medium', 'through', 'the', 'nuclear', 'equation', 'of', 'state', 'eos', 'the', 'approach', 'we', 'take', 'is', 'microscopic', 'and', 'relativistic', 'with', 'the', 'predicted', 'eos', 'properties', 'derived', 'from', 'realistic', 'nucleonnucleon', 'potentials', 'i', 'will', 'also', 'discuss', 'work', 'in', 'progress', 'most', 'recently', 'we', 'completed', 'a', 'dbhf', 'calculation', 'of', 'the', 'lambda', 'hyperon', 'binding', 'energy', 'in', 'nuclear', 'matter']] | [-0.08643476779883107, 0.15227699498867706, -0.13816778952688244, 0.07759699088831742, -0.09111565581877672, -0.08335204951553828, 0.0017823476078254836, 0.3653363014438323, -0.18131604393434134, -0.30551324040141137, 0.029978479603527203, -0.2932205766239869, -0.07995389359892302, 0.15992768550557748, 0.014709084525349594, 0.05265838214351485, 0.07794773308338508, 0.038689750024960154, -0.09755877261160917, -0.2157369624379845, 0.34538584557317553, 0.11558112484580349, 0.2258457177540376, 0.1469002275167787, 0.020217904126981184, -0.00525202598378417, -0.06915823392836111, -0.010043856702257124, -0.21071577266619507, 0.11145104340200002, 0.30174065209215595, 0.12580458692363686, 0.24208434980717444, -0.4988258071953342, -0.2349655756737948, 0.11689655574127322, 0.08359194204011666, 0.16003904755094223, -0.10873395463318697, -0.2818385326791377, 0.016069707272773875, -0.2524249751519944, -0.18355584175636372, -0.11309171866270758, 0.07372350121981332, 0.06700236413494817, -0.1891237392223307, 0.05532012765179388, -0.035963042858721955, -0.005309971071602334, -0.10204744506849064, -0.22082631350716664, 0.04726357681432827, 0.048683060914100636, 0.06480879096114742, 0.02633281058099653, 0.17183994903628316, -0.21909092214801126, -0.058604682744702416, 0.4426841566250438, -0.014777316685233797, -0.08606574182506717, 0.18344568194881417, -0.19472389631860312, -0.21169666170275636, 0.08290203654739474, 0.18499449211826902, 0.08941364623606204, -0.18399588054134733, 0.0879463919649078, -0.01344992965681567, 0.13131688246725215, 0.0016352365392127207, 0.06280496640663062, 0.24240855482362567, 0.22423685663157986, -0.017194149538963324, 0.027631559249545846, -0.04888707521770682, -0.11430685767693267, -0.3179377567910013, -0.067959894528169, -0.1462929159835247, 0.052384310339887934, -0.0036308980632817284, -0.02589174888673283, 0.3631325901885118, 0.18450216255372479, 0.14286811751801343, -0.06623310143726745, 0.26122431808727836, 0.03677081135434231, 0.009063855775942405, 0.008067898988901149, 0.2973875684131469, 0.18661939938597027, 0.12651404311348285, -0.2512555040330404, 0.041046345088675266, -0.00251698323436791] |
708.2113 | Detecting separable states via semidefinite programs | We introduce a new technique to detect separable states using semidefinite
programs. This approach provides a sufficient condition for separability of a
state that is based on the existence of a certain local linear map applied to a
known separable state. When a state is shown to be separable, a proof of this
fact is provided in the form of an explicit convex decomposition of the state
in terms of product states. All states in the interior of the set of separable
states can be detected in this way, except maybe for a set of measure zero.
Even though this technique is more suited for a numerical approach, a new
analytical criterion for separability can also be derived.
| quant-ph | we introduce a new technique to detect separable states using semidefinite programs this approach provides a sufficient condition for separability of a state that is based on the existence of a certain local linear map applied to a known separable state when a state is shown to be separable a proof of this fact is provided in the form of an explicit convex decomposition of the state in terms of product states all states in the interior of the set of separable states can be detected in this way except maybe for a set of measure zero even though this technique is more suited for a numerical approach a new analytical criterion for separability can also be derived | [['we', 'introduce', 'a', 'new', 'technique', 'to', 'detect', 'separable', 'states', 'using', 'semidefinite', 'programs', 'this', 'approach', 'provides', 'a', 'sufficient', 'condition', 'for', 'separability', 'of', 'a', 'state', 'that', 'is', 'based', 'on', 'the', 'existence', 'of', 'a', 'certain', 'local', 'linear', 'map', 'applied', 'to', 'a', 'known', 'separable', 'state', 'when', 'a', 'state', 'is', 'shown', 'to', 'be', 'separable', 'a', 'proof', 'of', 'this', 'fact', 'is', 'provided', 'in', 'the', 'form', 'of', 'an', 'explicit', 'convex', 'decomposition', 'of', 'the', 'state', 'in', 'terms', 'of', 'product', 'states', 'all', 'states', 'in', 'the', 'interior', 'of', 'the', 'set', 'of', 'separable', 'states', 'can', 'be', 'detected', 'in', 'this', 'way', 'except', 'maybe', 'for', 'a', 'set', 'of', 'measure', 'zero', 'even', 'though', 'this', 'technique', 'is', 'more', 'suited', 'for', 'a', 'numerical', 'approach', 'a', 'new', 'analytical', 'criterion', 'for', 'separability', 'can', 'also', 'be', 'derived']] | [-0.11481739987122976, 0.08283218059610374, -0.16309790097776863, 0.0712936718048433, -0.06018225381040346, -0.14418760905736835, 0.05128017705233799, 0.31966170599147425, -0.2789284368716496, -0.23716277533637012, 0.1251144388974723, -0.1922575900591594, -0.13339240389670862, 0.2160259804420047, -0.04896860756769271, 0.04825905655210806, 0.08727172885279534, 0.0754366521171089, -0.10045743177810652, -0.23192320109573902, 0.35254505612903225, -0.013682168963665173, 0.23777230032640745, 0.07070738984019322, 0.1083500823281657, -0.017839367915797284, 0.044996480917226585, 0.06879845748840974, -0.07094980163680502, 0.1374555471396642, 0.2849646110336249, 0.20610360677109368, 0.2940439090519449, -0.3783904720666045, -0.17476476006746544, 0.14069264409057322, 0.10198765435113998, 0.14687083798689546, -0.0415073910160079, -0.30126895893649275, 0.1064888092154495, -0.17719568189833376, -0.15218551154051102, -0.1463551616643445, 0.010078494804043133, -0.0571571713573915, -0.3319161251795052, 0.06030922916188039, 0.09011942741976088, 0.01333717439102672, -0.0891318884441408, -0.09194200845451046, 0.012769521229853064, 0.08153885235872822, -0.057421301388955216, 0.03474243761482254, 0.04399850064793886, -0.08574639694662607, -0.0991728758178967, 0.35227500875796175, -0.059485025881489705, -0.274100368512968, 0.18705266463112527, -0.10716090900665623, -0.11761165644097442, 0.11803530127015281, 0.15190255223631355, 0.18069162834198924, -0.1656348379867761, 0.07759421486091816, -0.11347823346159973, 0.16243222420561618, 0.02648657760030385, 0.05576825243720816, 0.1524812401809051, 0.12968092775011783, 0.17135893705821895, 0.21040235304025048, -0.03648622318810262, -0.04810954363211611, -0.337047473330177, -0.18633377879179255, -0.22975160400245054, 0.07234375888750083, -0.015617245018987333, -0.19116018592627618, 0.41121545438437673, 0.07712113728620491, 0.184773394285496, 0.06170058499832275, 0.26536109293732096, 0.13451303565707964, 0.03696963816616779, 0.07564309754377326, 0.23646211858554664, 0.1576145910500091, 0.002120381556609172, -0.17064222094397677, 0.09219091704857173, 0.06738947561184355] |
708.2114 | On the Number of Facets of Three-Dimensional Dirichlet Stereohedra IV:
Quarter Cubic Groups | In this paper we finish the intensive study of three-dimensional Dirichlet
stereohedra started by the second author and D. Bochis, who showed that they
cannot have more than 80 facets, except perhaps for crystallographic space
groups in the cubic system.
Taking advantage of the recent, simpler classification of three-dimensional
crystallographic groups by Conway, Delgado-Friedrichs, Huson and Thurston, in a
previous paper we proved that Dirichlet stereohedra for any of the 27 "full"
cubic groups cannot have more than 25 facets. Here we study the remaining
"quarter" cubic groups. With a computer-assisted method, our main result is
that Dirichlet stereohedra for the 8 quarter groups, hence for all
three-dimensional crystallographic groups, cannot have more than 92 facets.
| math.CO math.MG | in this paper we finish the intensive study of threedimensional dirichlet stereohedra started by the second author and d bochis who showed that they cannot have more than 80 facets except perhaps for crystallographic space groups in the cubic system taking advantage of the recent simpler classification of threedimensional crystallographic groups by conway delgadofriedrichs huson and thurston in a previous paper we proved that dirichlet stereohedra for any of the 27 full cubic groups cannot have more than 25 facets here we study the remaining quarter cubic groups with a computerassisted method our main result is that dirichlet stereohedra for the 8 quarter groups hence for all threedimensional crystallographic groups cannot have more than 92 facets | [['in', 'this', 'paper', 'we', 'finish', 'the', 'intensive', 'study', 'of', 'threedimensional', 'dirichlet', 'stereohedra', 'started', 'by', 'the', 'second', 'author', 'and', 'd', 'bochis', 'who', 'showed', 'that', 'they', 'can', 'not', 'have', 'more', 'than', '80', 'facets', 'except', 'perhaps', 'for', 'crystallographic', 'space', 'groups', 'in', 'the', 'cubic', 'system', 'taking', 'advantage', 'of', 'the', 'recent', 'simpler', 'classification', 'of', 'threedimensional', 'crystallographic', 'groups', 'by', 'conway', 'delgadofriedrichs', 'huson', 'and', 'thurston', 'in', 'a', 'previous', 'paper', 'we', 'proved', 'that', 'dirichlet', 'stereohedra', 'for', 'any', 'of', 'the', '27', 'full', 'cubic', 'groups', 'can', 'not', 'have', 'more', 'than', '25', 'facets', 'here', 'we', 'study', 'the', 'remaining', 'quarter', 'cubic', 'groups', 'with', 'a', 'computerassisted', 'method', 'our', 'main', 'result', 'is', 'that', 'dirichlet', 'stereohedra', 'for', 'the', '8', 'quarter', 'groups', 'hence', 'for', 'all', 'threedimensional', 'crystallographic', 'groups', 'can', 'not', 'have', 'more', 'than', '92', 'facets']] | [-0.10426358009010137, 0.09042915805435643, -0.0782312306711964, 0.009881887108224026, -0.10235018824660701, -0.11968393057809565, 0.03805267400357166, 0.3995452283576516, -0.19017745278261858, -0.32015265171929935, 0.11326122986542157, -0.2712501836137782, -0.14466236115850764, 0.2325837998490395, -0.09132705714376964, -0.02031084789155886, 0.06573980190823304, 0.030983994380723492, -0.08099741342874918, -0.3904731917066564, 0.32708865064517434, -0.0003373171403554493, 0.21858612913236922, -0.0010900130447257183, 0.0012749427455830678, 0.02782676412105753, -0.032719319108231316, 0.020482486230070332, -0.13586598260729355, 0.1347261887396975, 0.23761986835923946, 0.006355408872156565, 0.2754295881685062, -0.4086865755289809, -0.21328703506753363, 0.13381221391067938, 0.1613840050834777, 0.09791997842619131, -0.03686517908161101, -0.2458051111998743, 0.13978666030292014, -0.12962768440423855, -0.11386788006197533, -0.047307776855224554, 0.05473338057897214, -0.033613545263129894, -0.1598088613004777, 0.07376920402146361, 0.1104592281345535, 0.12942612204893394, -0.08345393795953614, -0.15981350550809392, -0.036693318415802485, 0.11588967092945401, -3.323478600138734e-05, 0.03764314169931258, 0.025482131579714216, -0.06237144238949786, -0.14753856002714422, 0.42061389252093845, 0.027148401282515965, -0.17118170431108568, 0.19575984332036098, -0.237413978589506, -0.20104725834720866, 0.1478018859834892, 0.12980423524076568, 0.1317238651089579, -0.134588031628137, 0.07695809725555591, -0.10446910650854738, 0.1414923320428051, 0.1277849178375869, -0.08449669925401646, 0.12297792295957434, 0.12016129146474575, 0.08321639204775144, 0.14038835717204573, -0.008957259539627182, -0.025855364603118908, -0.2656723318826247, -0.22016463002816228, -0.15486044420134115, 0.07149756379294558, -0.07306197322558829, -0.11021466132108892, 0.3930573457137457, 0.06460258562683835, 0.13097704806894964, 0.0737644383475056, 0.17927433014044475, 0.013511115746323726, 0.10103916881830785, 0.09591482629084253, 0.17684913422623327, 0.10626440466750928, 0.06614930959065156, -0.09799393820240171, 0.023872482382636197, 0.09207598692416374] |
708.2115 | From high temperature supercondutivity to quantum spin liquid: progress
in strong correlation physics | This review gives a rather general discussion of high temperature
superconductors as an example of a strongly correlated material. The argument
is made that in view of the many examples of unconventional superconductors
discovered in the past twenty years, we should no longer be surprised that
superconductivity emerges as a highly competitive ground state in systems where
Coulomb repulsion plays a dominant role. The physics of the cuprates is
discussed, emphasizing the unusual pseudogap phase in the underdoped region. It
is argued that the resonating valence bond (RVB) picture, as formulated using
gauge theory with fermionic and bosonic matter fields, gives an adequate
physical understanding, even though many details are beyond the powers of
current calculational tools. The recent discovery of quantum oscillations in a
high magnetic field is discussed in this context. Meanwhile, the problem of the
quantum spin liquid (a spin system with antiferromagnetic coupling which
refuses to order even at zero temperature) is a somewhat simpler version of the
high $T_c$ problem where significant progress has been made recently. It is
understood that the existence of matter fields can lead to de-confinement of
the U(1) gauge theory in 2+1 dimensions, and novel new particles (called
fractionalized particles), such as fermionic spinons which carry spin ${1\over
2}$ and no charge, and gapless gauge bosons can emerge to create a new critical
state at low energies. We even have a couple of real materials where such a
scenario may be realized experimentally. The article ends with answers to
questions such as: what limits $T_c$ if pairing is driven by an electronic
energy scale? why is the high $T_c$ problem hard? why is there no consensus?
and why is the high $T_c$ problem important?
| cond-mat.str-el cond-mat.supr-con | this review gives a rather general discussion of high temperature superconductors as an example of a strongly correlated material the argument is made that in view of the many examples of unconventional superconductors discovered in the past twenty years we should no longer be surprised that superconductivity emerges as a highly competitive ground state in systems where coulomb repulsion plays a dominant role the physics of the cuprates is discussed emphasizing the unusual pseudogap phase in the underdoped region it is argued that the resonating valence bond rvb picture as formulated using gauge theory with fermionic and bosonic matter fields gives an adequate physical understanding even though many details are beyond the powers of current calculational tools the recent discovery of quantum oscillations in a high magnetic field is discussed in this context meanwhile the problem of the quantum spin liquid a spin system with antiferromagnetic coupling which refuses to order even at zero temperature is a somewhat simpler version of the high t_c problem where significant progress has been made recently it is understood that the existence of matter fields can lead to deconfinement of the u1 gauge theory in 21 dimensions and novel new particles called fractionalized particles such as fermionic spinons which carry spin 1over 2 and no charge and gapless gauge bosons can emerge to create a new critical state at low energies we even have a couple of real materials where such a scenario may be realized experimentally the article ends with answers to questions such as what limits t_c if pairing is driven by an electronic energy scale why is the high t_c problem hard why is there no consensus and why is the high t_c problem important | [['this', 'review', 'gives', 'a', 'rather', 'general', 'discussion', 'of', 'high', 'temperature', 'superconductors', 'as', 'an', 'example', 'of', 'a', 'strongly', 'correlated', 'material', 'the', 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708.2116 | A posteriori error estimates for finite element approximations of the
Cahn-Hilliard equation and the Hele-Shaw flow | This paper develops a posteriori error estimates of residual type for
conforming and mixed finite element approximations of the fourth order
Cahn-Hilliard equation $u_t+\De\bigl(\eps \De u-\eps^{-1} f(u)\bigr)=0$. It is
shown that the {\it a posteriori} error bounds depends on $\eps^{-1}$ only in
some low polynomial order, instead of exponential order. Using these a
posteriori error estimates, we construct an adaptive algorithm for computing
the solution of the Cahn-Hilliard equation and its sharp interface limit, the
Hele-Shaw flow. Numerical experiments are presented to show the robustness and
effectiveness of the new error estimators and the proposed adaptive algorithm.
| math.NA math.AP | this paper develops a posteriori error estimates of residual type for conforming and mixed finite element approximations of the fourth order cahnhilliard equation u_tdebigleps de ueps1 fubigr0 it is shown that the it a posteriori error bounds depends on eps1 only in some low polynomial order instead of exponential order using these a posteriori error estimates we construct an adaptive algorithm for computing the solution of the cahnhilliard equation and its sharp interface limit the heleshaw flow numerical experiments are presented to show the robustness and effectiveness of the new error estimators and the proposed adaptive algorithm | [['this', 'paper', 'develops', 'a', 'posteriori', 'error', 'estimates', 'of', 'residual', 'type', 'for', 'conforming', 'and', 'mixed', 'finite', 'element', 'approximations', 'of', 'the', 'fourth', 'order', 'cahnhilliard', 'equation', 'u_tdebigleps', 'de', 'ueps1', 'fubigr0', 'it', 'is', 'shown', 'that', 'the', 'it', 'a', 'posteriori', 'error', 'bounds', 'depends', 'on', 'eps1', 'only', 'in', 'some', 'low', 'polynomial', 'order', 'instead', 'of', 'exponential', 'order', 'using', 'these', 'a', 'posteriori', 'error', 'estimates', 'we', 'construct', 'an', 'adaptive', 'algorithm', 'for', 'computing', 'the', 'solution', 'of', 'the', 'cahnhilliard', 'equation', 'and', 'its', 'sharp', 'interface', 'limit', 'the', 'heleshaw', 'flow', 'numerical', 'experiments', 'are', 'presented', 'to', 'show', 'the', 'robustness', 'and', 'effectiveness', 'of', 'the', 'new', 'error', 'estimators', 'and', 'the', 'proposed', 'adaptive', 'algorithm']] | [-0.10699573801359796, -0.007816724054561184, -0.10764261788906569, 0.06669472807899435, -0.06609714781479077, -0.15025701850375278, 0.04736337232765088, 0.3136799417119077, -0.28788136532332037, -0.2720761359322499, 0.1764361489442811, -0.2500787596911826, -0.17472331884733222, 0.19093113068610112, -0.11887440271180202, 0.14795112367063026, 0.06411054305623266, 0.0283185158796767, -0.11496842383317887, -0.29564638743474286, 0.28139995989647315, 0.05246603234294564, 0.2801314377968393, 0.022870661601662002, 0.15558256499191864, -0.09394688562965615, -0.029744793755061765, 0.016071776534985514, -0.21655423198914853, 0.1380292151068793, 0.21796404431881186, 0.059062666195306056, 0.3485432356853593, -0.3677582321688533, -0.1913673858396075, 0.10567842038568763, 0.15986145724681147, 0.13783770902676784, -0.08865656355579206, -0.28616991672823405, 0.125306798650467, -0.16785685098829103, -0.11756526931446601, -0.07995430242389123, -0.07644599896082853, 0.07351472063307116, -0.35789923381773714, 0.1356481073741266, 0.07243827345503613, 0.02811739558076605, -0.06552794015535371, -0.12952848651912063, 0.02158967258428481, 0.07197170278572655, 0.015143639514559602, -0.005083855988328999, 0.03102944682827814, -0.06924754047043066, -0.05781098813848927, 0.30987777946358347, -0.086240871745023, -0.2647683449842511, 0.12316032632828709, -0.07637644971304751, -0.07942424614993022, 0.16875991490768624, 0.20482839163432412, 0.1349507292653335, -0.11013282720554382, 0.09691913849506974, -0.001443863331161915, 0.18734570172555903, 0.03829017131678522, -0.0298281136474156, 0.03754607678212701, 0.20108491683656232, 0.16047511570789713, 0.09468563612887358, -0.12169239603409028, -0.09978117524309361, -0.39687262729127354, -0.17360305893135833, -0.21662574010762445, -0.05157826741800663, -0.178218333188697, -0.23663537622339023, 0.3535569319501519, 0.16836167449884593, 0.09134409935312703, 0.11319649136288369, 0.31584884258026774, 0.18406614606724458, -0.03864099254257026, 0.13927489703301615, 0.21846801953723385, 0.16296344567238888, 0.07024378922985906, -0.27618218984137827, 0.1043482806404775, 0.1979958570656426] |
708.2117 | Pressure-induced Superconductivity in CaLi2 | A search for superconductivity has been carried out on the hexagonal
polymorph of Laves-phase CaLi2, a compound for which Feng, Ashcroft, and
Hoffmann predict highly anomalous behavior under pressure. No superconductivity
is observed above 1.10 K at ambient pressure. However, high-pressure ac
susceptibility and electrical resistivity studies to 81 GPa reveal bulk
superconductivity in CaLi2 at temperatures as high as 13 K. The normal-state
resistivity shows a dramatic increase with pressure.
| cond-mat.supr-con | a search for superconductivity has been carried out on the hexagonal polymorph of lavesphase cali2 a compound for which feng ashcroft and hoffmann predict highly anomalous behavior under pressure no superconductivity is observed above 110 k at ambient pressure however highpressure ac susceptibility and electrical resistivity studies to 81 gpa reveal bulk superconductivity in cali2 at temperatures as high as 13 k the normalstate resistivity shows a dramatic increase with pressure | [['a', 'search', 'for', 'superconductivity', 'has', 'been', 'carried', 'out', 'on', 'the', 'hexagonal', 'polymorph', 'of', 'lavesphase', 'cali2', 'a', 'compound', 'for', 'which', 'feng', 'ashcroft', 'and', 'hoffmann', 'predict', 'highly', 'anomalous', 'behavior', 'under', 'pressure', 'no', 'superconductivity', 'is', 'observed', 'above', '110', 'k', 'at', 'ambient', 'pressure', 'however', 'highpressure', 'ac', 'susceptibility', 'and', 'electrical', 'resistivity', 'studies', 'to', '81', 'gpa', 'reveal', 'bulk', 'superconductivity', 'in', 'cali2', 'at', 'temperatures', 'as', 'high', 'as', '13', 'k', 'the', 'normalstate', 'resistivity', 'shows', 'a', 'dramatic', 'increase', 'with', 'pressure']] | [-0.1755909509146991, 0.20966935402079337, -0.07241776854177748, -0.06194695528508906, -0.05116217272977034, -0.15947775296407982, 0.20107944050560828, 0.3791305275121029, -0.20244253410593324, -0.31806415146675665, 0.02301788130822335, -0.36341525193141855, -0.0973511431939846, 0.1859457383600428, 0.07597652619680983, 0.03799396270103213, -0.11550730892011653, 0.027492696769447808, -0.16182214112790383, -0.2626721492610607, 0.19996381545797046, 0.10052573305986606, 0.3703918501842713, 0.14132563662091, 0.03922473137820329, -0.09068084973841906, 0.13616949998085265, 0.0793043091704232, -0.14391909314292498, -0.11682424833323213, 0.3115753177283467, -0.14743316898702818, 0.16766564742378567, -0.3449577045613441, -0.30865588950236206, -0.026730967645087967, 0.046206228785972664, 0.03178125180378286, -0.09561248860942821, -0.21658478588189767, 0.13097741665062157, -0.09109354398442783, -0.09236074190424837, -0.15882957684200094, 0.002737943393488725, -0.1015085230794047, -0.23040408805768559, 0.16797208221480792, 0.026068173389395943, 0.22598021345186062, -0.13667881052158232, -0.23211637225872633, -0.06933602360009715, -0.07019500706371838, 0.06255318274033135, 0.11338369850325736, 0.20077207269470976, -0.09370286862595358, -0.08144013037014267, 0.34989155644038017, -0.04104733002790506, 0.08615899661663866, 0.19473408370791678, -0.21918474498839266, -0.12237341475227605, 0.26116170884663426, 0.11751965506245261, 0.02931567110742132, -0.15967872108761355, 0.04558577782481207, -0.02795507893830106, 0.18773608284907928, 0.11460216262418291, -0.015953204326291125, 0.21009225406400536, 0.21101127211274445, 0.019807823083322983, 0.13685800164829995, -0.10706144365805971, 0.05062585461722768, -0.17784418829757234, -0.2165793802494696, -0.14837005806233114, 0.10772813059578555, -0.05784925544403318, -0.1568826560632906, 0.28257129184793733, 0.144759690510514, 0.19835731937833453, -0.09207163182714873, 0.16965290329054647, 0.06496699746576665, 0.09072796860034915, 0.1373550387814749, 0.24714049345989159, 0.21449730720748936, 0.21419890037994238, -0.3206557162963124, 0.12910246443124893, -0.042618627471012485] |
708.2118 | Optimal Control Theory for Continuous Variable Quantum Gates | We apply the methodology of optimal control theory to the problem of
implementing quantum gates in continuous variable systems with quadratic
Hamiltonians. We demonstrate that it is possible to define a fidelity measure
for continuous variable (CV) gate optimization that is devoid of traps, such
that the search for optimal control fields using local algorithms will not be
hindered. The optimal control of several quantum computing gates, as well as
that of algorithms composed of these primitives, is investigated using several
typical physical models and compared for discrete and continuous quantum
systems. Numerical simulations indicate that the optimization of generic CV
quantum gates is inherently more expensive than that of generic discrete
variable quantum gates, and that the exact-time controllability of CV systems
plays an important role in determining the maximum achievable gate fidelity.
The resulting optimal control fields typically display more complicated Fourier
spectra that suggest a richer variety of possible control mechanisms. Moreover,
the ability to control interactions between qunits is important for delimiting
the total control fluence. The comparative ability of current experimental
protocols to implement such time-dependent controls may help determine which
physical incarnations of CV quantum information processing will be the easiest
to implement with optimal fidelity.
| quant-ph | we apply the methodology of optimal control theory to the problem of implementing quantum gates in continuous variable systems with quadratic hamiltonians we demonstrate that it is possible to define a fidelity measure for continuous variable cv gate optimization that is devoid of traps such that the search for optimal control fields using local algorithms will not be hindered the optimal control of several quantum computing gates as well as that of algorithms composed of these primitives is investigated using several typical physical models and compared for discrete and continuous quantum systems numerical simulations indicate that the optimization of generic cv quantum gates is inherently more expensive than that of generic discrete variable quantum gates and that the exacttime controllability of cv systems plays an important role in determining the maximum achievable gate fidelity the resulting optimal control fields typically display more complicated fourier spectra that suggest a richer variety of possible control mechanisms moreover the ability to control interactions between qunits is important for delimiting the total control fluence the comparative ability of current experimental protocols to implement such timedependent controls may help determine which physical incarnations of cv quantum information processing will be the easiest to implement with optimal fidelity | [['we', 'apply', 'the', 'methodology', 'of', 'optimal', 'control', 'theory', 'to', 'the', 'problem', 'of', 'implementing', 'quantum', 'gates', 'in', 'continuous', 'variable', 'systems', 'with', 'quadratic', 'hamiltonians', 'we', 'demonstrate', 'that', 'it', 'is', 'possible', 'to', 'define', 'a', 'fidelity', 'measure', 'for', 'continuous', 'variable', 'cv', 'gate', 'optimization', 'that', 'is', 'devoid', 'of', 'traps', 'such', 'that', 'the', 'search', 'for', 'optimal', 'control', 'fields', 'using', 'local', 'algorithms', 'will', 'not', 'be', 'hindered', 'the', 'optimal', 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708.2119 | Control Landscapes for Observable Preparation with Open Quantum Systems | A quantum control landscape is defined as the observable as a function(al) of
the system control variables. Such landscapes were introduced to provide a
basis to understand the increasing number of successful experiments controlling
quantum dynamics phenomena. This paper extends the concept to encompass the
broader context of the environment having an influence. For the case that the
open system dynamics are fully controllable, it is shown that the control
landscape for open systems can be lifted to the analysis of an equivalent
auxiliary landscape of a closed composite system that contains the
environmental interactions. This inherent connection can be analyzed to provide
relevant information about the topology of the original open system landscape.
Application to the optimization of an observable expectation value reveals the
same landscape simplicity observed in former studies on closed systems. In
particular, no false sub-optimal traps exist in the system control landscape
when seeking to optimize an observable, even in the presence of complex
environments. Moreover, a quantitative study of the control landscape of a
system interacting with a thermal environment shows that the enhanced
controllability attainable with open dynamics significantly broadens the range
of the achievable observable values over the control landscape.
| quant-ph math-ph math.MP | a quantum control landscape is defined as the observable as a functional of the system control variables such landscapes were introduced to provide a basis to understand the increasing number of successful experiments controlling quantum dynamics phenomena this paper extends the concept to encompass the broader context of the environment having an influence for the case that the open system dynamics are fully controllable it is shown that the control landscape for open systems can be lifted to the analysis of an equivalent auxiliary landscape of a closed composite system that contains the environmental interactions this inherent connection can be analyzed to provide relevant information about the topology of the original open system landscape application to the optimization of an observable expectation value reveals the same landscape simplicity observed in former studies on closed systems in particular no false suboptimal traps exist in the system control landscape when seeking to optimize an observable even in the presence of complex environments moreover a quantitative study of the control landscape of a system interacting with a thermal environment shows that the enhanced controllability attainable with open dynamics significantly broadens the range of the achievable observable values over the control landscape | [['a', 'quantum', 'control', 'landscape', 'is', 'defined', 'as', 'the', 'observable', 'as', 'a', 'functional', 'of', 'the', 'system', 'control', 'variables', 'such', 'landscapes', 'were', 'introduced', 'to', 'provide', 'a', 'basis', 'to', 'understand', 'the', 'increasing', 'number', 'of', 'successful', 'experiments', 'controlling', 'quantum', 'dynamics', 'phenomena', 'this', 'paper', 'extends', 'the', 'concept', 'to', 'encompass', 'the', 'broader', 'context', 'of', 'the', 'environment', 'having', 'an', 'influence', 'for', 'the', 'case', 'that', 'the', 'open', 'system', 'dynamics', 'are', 'fully', 'controllable', 'it', 'is', 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708.212 | Automorphisms of a polynomial ring which admit reductions of type I | Recently, Shestakov-Umirbaev solved Nagata's conjecture on an automorphism of
a polynomial ring. To solve the conjecture, they defined notions called
reductions of types I--IV for automorphisms of a polynomial ring. An
automorphism admitting a reduction of type I was first found by
Shestakov-Umirbaev. Using a computer, van den Essen--Makar-Limanov--Willems
gave a family of such automorphisms. In this paper, we present a new
construction of such automorphisms using locally nilpotent derivations. As a
consequence, we discover that there exists an automorphism admitting a
reduction of type I which satisfies some degree condition for each possible
value.
| math.AC math.AG | recently shestakovumirbaev solved nagatas conjecture on an automorphism of a polynomial ring to solve the conjecture they defined notions called reductions of types iiv for automorphisms of a polynomial ring an automorphism admitting a reduction of type i was first found by shestakovumirbaev using a computer van den essenmakarlimanovwillems gave a family of such automorphisms in this paper we present a new construction of such automorphisms using locally nilpotent derivations as a consequence we discover that there exists an automorphism admitting a reduction of type i which satisfies some degree condition for each possible value | [['recently', 'shestakovumirbaev', 'solved', 'nagatas', 'conjecture', 'on', 'an', 'automorphism', 'of', 'a', 'polynomial', 'ring', 'to', 'solve', 'the', 'conjecture', 'they', 'defined', 'notions', 'called', 'reductions', 'of', 'types', 'iiv', 'for', 'automorphisms', 'of', 'a', 'polynomial', 'ring', 'an', 'automorphism', 'admitting', 'a', 'reduction', 'of', 'type', 'i', 'was', 'first', 'found', 'by', 'shestakovumirbaev', 'using', 'a', 'computer', 'van', 'den', 'essenmakarlimanovwillems', 'gave', 'a', 'family', 'of', 'such', 'automorphisms', 'in', 'this', 'paper', 'we', 'present', 'a', 'new', 'construction', 'of', 'such', 'automorphisms', 'using', 'locally', 'nilpotent', 'derivations', 'as', 'a', 'consequence', 'we', 'discover', 'that', 'there', 'exists', 'an', 'automorphism', 'admitting', 'a', 'reduction', 'of', 'type', 'i', 'which', 'satisfies', 'some', 'degree', 'condition', 'for', 'each', 'possible', 'value']] | [-0.19885213239158087, 0.024410686444985293, -0.10049253263253163, 0.007842650908253533, -0.11401298466916295, -0.16566367793154527, -0.035178682510493366, 0.28458216111423407, -0.3404116367009726, -0.24887524189506757, 0.106065422250701, -0.23665519910270072, -0.19347870746067666, 0.20289051139410189, -0.1459672969587623, -0.04032068470730744, 0.020146261147679166, 0.07491731551039885, -0.11542419980198362, -0.32033045839102187, 0.37414218885873624, -0.005712533676798673, 0.1512390118326987, 0.05338040489624155, 0.1592053274767711, 0.006621904705869074, 0.0007044247975771098, 0.042166193431996284, -0.22149589756156005, 0.06364998367535783, 0.27899813821955405, 0.12094676616958323, 0.24943235405582062, -0.3536180784093573, -0.12389993229899506, 0.1963487088437529, 0.14791456119533866, 0.06477271781694342, -0.12050789511549544, -0.2423625307335974, 0.10546374584032976, -0.22742076080055298, -0.20512521126743485, -0.06202372761958457, 0.09721759716643298, -0.030705001205205917, -0.25670710216930254, -0.012744229945770286, 0.1418016885030777, 0.1748497978526544, -0.03219448378745546, -0.0624649869942198, -0.017857300018535017, 0.031561415815884446, -0.07854502461355259, 0.014439608200770268, 0.03273126569160439, -0.06476371357603831, -0.18182595974785534, 0.35578507239660345, -0.03839584290386831, -0.19404569648681802, 0.13342955082337907, -0.048528563895044806, -0.23635712506725115, 0.09678768098572309, 0.06963959671160642, 0.16601032672568838, -0.06599198881180045, 0.1697194705707358, -0.16979809110350114, 0.11388137354020109, 0.14602718450763125, -0.03792314117952706, 0.10648396188155451, 0.10541573283262551, 0.09043209046494473, 0.15128332549864623, 0.055199366610279264, 0.006234590429193439, -0.35935703160716814, -0.19331816574738192, -0.1031718957312207, 0.14949495418299424, -0.0722887735402687, -0.21046504929186183, 0.39796085796378394, 0.047578622530055965, 0.15881060302614214, 0.09475896512579292, 0.14735399916931552, 0.07836952482404663, 0.09165582818566187, 0.11390653842108998, 0.1272540555321339, 0.207726494976359, -0.057165385996724695, -0.1365361461921179, 0.022645841753902905, 0.22604852492247332] |
708.2121 | Detection of an ancient principle and an elegant solution to the protein
classification problem | This work is concerned with the development of a well-founded, theoretically
justified, and least complicated metric for the classification of proteins with
reference to enzymes. As the signature of an enzyme family, a catalytic domain
is easily fingerprinted. Given that the classification problem has so far
seemed intractable, a classification schema derived from the catalytic domain
would be satisfying. Here I show that there exists a natural ab initio if
nonobvious basis to theorize that the catalytic domain of an enzyme is uniquely
informative about its regulation. This annotates its function. Based on this
hypothesis, a method that correctly classifies potassium ion channels into
their respective subfamilies is described. To put the principle on firmer
ground, extra validation was sought and obtained through co-evolutionary
analyses. The co-evolutionary analyses reveal a departure from the notion that
potassium ion channel proteins are functionally modular. This finding is
discussed in light of the prevailing notion of domain. These studies establish
that significant co-evolution of the catalytic domain of a gene with its
conjoint domain is a specialized, necessary process following fusion and
swapping events in evolution. Instances of this discovery are likely to be
found pervasive in protein science.
| q-bio.GN q-bio.BM q-bio.QM | this work is concerned with the development of a wellfounded theoretically justified and least complicated metric for the classification of proteins with reference to enzymes as the signature of an enzyme family a catalytic domain is easily fingerprinted given that the classification problem has so far seemed intractable a classification schema derived from the catalytic domain would be satisfying here i show that there exists a natural ab initio if nonobvious basis to theorize that the catalytic domain of an enzyme is uniquely informative about its regulation this annotates its function based on this hypothesis a method that correctly classifies potassium ion channels into their respective subfamilies is described to put the principle on firmer ground extra validation was sought and obtained through coevolutionary analyses the coevolutionary analyses reveal a departure from the notion that potassium ion channel proteins are functionally modular this finding is discussed in light of the prevailing notion of domain these studies establish that significant coevolution of the catalytic domain of a gene with its conjoint domain is a specialized necessary process following fusion and swapping events in evolution instances of this discovery are likely to be found pervasive in protein science | [['this', 'work', 'is', 'concerned', 'with', 'the', 'development', 'of', 'a', 'wellfounded', 'theoretically', 'justified', 'and', 'least', 'complicated', 'metric', 'for', 'the', 'classification', 'of', 'proteins', 'with', 'reference', 'to', 'enzymes', 'as', 'the', 'signature', 'of', 'an', 'enzyme', 'family', 'a', 'catalytic', 'domain', 'is', 'easily', 'fingerprinted', 'given', 'that', 'the', 'classification', 'problem', 'has', 'so', 'far', 'seemed', 'intractable', 'a', 'classification', 'schema', 'derived', 'from', 'the', 'catalytic', 'domain', 'would', 'be', 'satisfying', 'here', 'i', 'show', 'that', 'there', 'exists', 'a', 'natural', 'ab', 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-0.2640310553691293, -0.16133423762072865, -0.18384937570211762, 0.06286622123550434, -0.04353770017910485, -0.18160825335819805, 0.36747859366599245, 0.10929664582660308, 0.15921785470516403, 0.03503663582271155, 0.23440454939762795, 0.06944268867219038, 0.060911234773514907, 0.01445758878431587, 0.20872808316228342, 0.08617846107903906, 0.06770251089307879, -0.22442359730781875, 0.16032108621035077, 0.02320123464225468] |
708.2122 | Prospects for Charged Particle Astronomy | The likelihood of detecting individual discrete sources of cosmic rays
depends on the mean separation between sources. The analysis here derives the
minimum separation that makes it likely that the closest source is detectable.
For super-GZK energies, detection is signal limited and magnetic fields should
not matter. For sub-GZK energies, detection is background limited, and
intergalactic magnetic fields enter the analysis through one adjustable
parameter. Both super-GZK and sub-GZK results are presented for four different
types of sources: steady isotropic sources, steady jet sources, isotropic
bursts, and jet bursts.
| astro-ph | the likelihood of detecting individual discrete sources of cosmic rays depends on the mean separation between sources the analysis here derives the minimum separation that makes it likely that the closest source is detectable for supergzk energies detection is signal limited and magnetic fields should not matter for subgzk energies detection is background limited and intergalactic magnetic fields enter the analysis through one adjustable parameter both supergzk and subgzk results are presented for four different types of sources steady isotropic sources steady jet sources isotropic bursts and jet bursts | [['the', 'likelihood', 'of', 'detecting', 'individual', 'discrete', 'sources', 'of', 'cosmic', 'rays', 'depends', 'on', 'the', 'mean', 'separation', 'between', 'sources', 'the', 'analysis', 'here', 'derives', 'the', 'minimum', 'separation', 'that', 'makes', 'it', 'likely', 'that', 'the', 'closest', 'source', 'is', 'detectable', 'for', 'supergzk', 'energies', 'detection', 'is', 'signal', 'limited', 'and', 'magnetic', 'fields', 'should', 'not', 'matter', 'for', 'subgzk', 'energies', 'detection', 'is', 'background', 'limited', 'and', 'intergalactic', 'magnetic', 'fields', 'enter', 'the', 'analysis', 'through', 'one', 'adjustable', 'parameter', 'both', 'supergzk', 'and', 'subgzk', 'results', 'are', 'presented', 'for', 'four', 'different', 'types', 'of', 'sources', 'steady', 'isotropic', 'sources', 'steady', 'jet', 'sources', 'isotropic', 'bursts', 'and', 'jet', 'bursts']] | [-0.1440162406645544, 0.2029807161079484, -0.0333409216522571, 0.14561826519363014, -0.11425214288649203, -0.10233306409469967, 0.018916720230046702, 0.42668789544613794, -0.2023738649213451, -0.3518422779188245, 0.04962622932019247, -0.3339451223440554, 0.0040857397426647705, 0.2353140167014181, 0.06566308033599079, -0.03950886776264029, 0.05040388358435754, -0.010960982930471843, -0.03630410658795087, -0.16457880741713204, 0.2905108843683854, 0.13443923332653512, 0.2982907739211002, 0.03788758990563581, 0.14174784540637642, -0.025593922564481526, -0.0963284477334598, -0.01879715360701084, -0.07540983469683768, 0.03427085840550048, 0.23000520138048577, 0.13533955687742638, 0.1746021455739914, -0.36292150905676956, -0.2815332893260765, 0.15672492777564745, 0.14598113835264726, 0.07785640234106231, -0.03684393769991852, -0.27673498213548087, 0.05845652111998663, -0.09983800740206036, -0.10344238543947196, 0.015102567871090496, 0.0386585647550722, 0.09075488205785039, -0.21514486156446838, 0.1585090341763678, 0.017219923664119906, 0.020551668030434643, -0.11993689254333062, -0.09072155712022521, 0.001077795615312697, 0.09544894146604528, 0.07972549852893698, 0.033147953268697204, 0.21766762424731392, -0.15972277771510268, -0.09199954117594779, 0.36481097987157174, -0.01435406418816968, -0.11750388095133948, 0.2142268020081623, -0.16166832579578133, -0.1720226493813954, 0.22761945512102938, 0.17640624187710086, 0.10427887900966626, -0.17166870972676868, -0.010498834294855765, 0.05856906329335152, 0.20622429475803786, 0.05807064792633742, 0.047899287236833024, 0.292445603436951, 0.11277887303296519, 0.059532552036917076, 0.10908684117623188, -0.2277122231069203, -0.011028886242801773, -0.34403215545689925, -0.07725525698785124, -0.19184234522647042, 0.05825904739138151, -0.10784790095881205, -0.14730501563713788, 0.36896407914658386, 0.12320931472055528, 0.0988584452565631, -0.010090223518896034, 0.31964248836297415, 0.07510577342419446, -0.006616921924140261, 0.13411855931532965, 0.35025447191691944, 0.14874574008140842, 0.06406871702029616, -0.1486953367350687, 0.08079619880166204, -0.0361475377455996] |
708.2123 | Multi-quark potential from AdS/QCD | Heavy multi-quark potential in the SU(N) color group using hard-wall AdS/QCD
at both zero and finite temperature is studied. A Cornell-like potential is
obtained for baryons and other exotic configurations and compared with those in
the quenched lattice calculation in N=3 case. At the end we also discuss
possible improvements in the UV region of potential.
| hep-th hep-ph | heavy multiquark potential in the sun color group using hardwall adsqcd at both zero and finite temperature is studied a cornelllike potential is obtained for baryons and other exotic configurations and compared with those in the quenched lattice calculation in n3 case at the end we also discuss possible improvements in the uv region of potential | [['heavy', 'multiquark', 'potential', 'in', 'the', 'sun', 'color', 'group', 'using', 'hardwall', 'adsqcd', 'at', 'both', 'zero', 'and', 'finite', 'temperature', 'is', 'studied', 'a', 'cornelllike', 'potential', 'is', 'obtained', 'for', 'baryons', 'and', 'other', 'exotic', 'configurations', 'and', 'compared', 'with', 'those', 'in', 'the', 'quenched', 'lattice', 'calculation', 'in', 'n3', 'case', 'at', 'the', 'end', 'we', 'also', 'discuss', 'possible', 'improvements', 'in', 'the', 'uv', 'region', 'of', 'potential']] | [-0.05152727575789738, 0.18861744637667602, -0.08841860011956929, 0.11215378485004683, 0.010094635329941022, -0.14773900676352372, 0.05875234605212297, 0.4284218147263995, -0.14310734481218138, -0.24877694827903593, 0.0504346336737009, -0.3245494423400877, -0.057367656379938126, 0.1010968574888206, 0.005650913072063953, 0.05017731692143051, -0.0016707151329943112, 0.09170096111691757, -0.10109095461770526, -0.2548562200806503, 0.3095201565218823, -0.0048211440069800505, 0.22526697967467563, 0.13714553979558072, -0.03247037416024666, 0.010726729707260216, -0.0021781918060566697, 0.02253393502905965, -0.11674965291915994, 0.03627945389598608, 0.1855434895883913, -0.020801272746341835, 0.15371099127722637, -0.3877431321556547, -0.2506168482193191, 0.09979342295056474, 0.1584839446503403, 0.15671354802491674, -0.11962850266302537, -0.25009010344261434, 0.100835677901549, -0.1908468269476933, -0.24239464582309925, -0.05407011048269591, 0.022716896874564036, -0.036234360886737704, -0.2612521276875798, 0.04966313625949884, -0.05858494451136461, 0.068143451461635, -0.08459165318968839, -0.21114174985060735, -0.06727393775612914, 0.07689485869403663, 0.052450959502104, 0.1039154492401784, 0.11648257207291733, -0.20516230264911428, -0.09079693563398905, 0.4201482995246936, -0.10900107400292265, -0.14032706199213862, 0.2105354138516954, -0.18291957004527962, -0.13858477886034443, 0.08060006233530917, 0.12393198529441309, 0.09868313244078308, -0.12573390297724732, 0.1516563263025351, 0.006241517099884472, 0.06605411889696759, 0.09890223274539624, 0.06358178888746936, 0.2254343959835491, 0.1664642383444256, -0.009551713609003596, 0.15810006649137773, -0.06777639680409006, -0.1228301034186318, -0.3346882341762206, -0.07367841902305372, -0.15149951702915132, -0.026359188125102913, -0.10686845158514709, -0.0772247086778017, 0.36721781494894196, 0.11217279119383809, 0.20208659176049487, 0.0034419631327702, 0.26586353070368723, 0.06283491982945374, 0.06028877934607278, 0.06747603364887514, 0.2625964410503262, 0.1470005108775305, 0.10455839680175164, -0.27375963232147377, -0.09696024599751192, 0.054139016645162234] |
708.2124 | Maximum Likelihood Supertrees | We analyse a maximum-likelihood approach for combining phylogenetic trees
into a larger `supertree'. This is based on a simple exponential model of
phylogenetic error, which ensures that ML supertrees have a simple
combinatorial description (as a median tree, minimising a weighted sum of
distances to the input trees). We show that this approach to ML supertree
reconstruction is statistically consistent (it converges on the true species
supertree as more input trees are combined), in contrast to the widely-used MRP
method, which we show can be statistically inconsistent under the exponential
error model. We also show that this statistical consistency extends to an ML
approach for constructing species supertrees from gene trees. In this setting,
incomplete lineage sorting (due to coalescence rates of homologous genes being
lower than speciation rates) has been shown to lead to gene trees that are
frequently different from species trees, and this can confound efforts to
reconstruct the species phylogeny correctly.
| q-bio.PE q-bio.QM | we analyse a maximumlikelihood approach for combining phylogenetic trees into a larger supertree this is based on a simple exponential model of phylogenetic error which ensures that ml supertrees have a simple combinatorial description as a median tree minimising a weighted sum of distances to the input trees we show that this approach to ml supertree reconstruction is statistically consistent it converges on the true species supertree as more input trees are combined in contrast to the widelyused mrp method which we show can be statistically inconsistent under the exponential error model we also show that this statistical consistency extends to an ml approach for constructing species supertrees from gene trees in this setting incomplete lineage sorting due to coalescence rates of homologous genes being lower than speciation rates has been shown to lead to gene trees that are frequently different from species trees and this can confound efforts to reconstruct the species phylogeny correctly | [['we', 'analyse', 'a', 'maximumlikelihood', 'approach', 'for', 'combining', 'phylogenetic', 'trees', 'into', 'a', 'larger', 'supertree', 'this', 'is', 'based', 'on', 'a', 'simple', 'exponential', 'model', 'of', 'phylogenetic', 'error', 'which', 'ensures', 'that', 'ml', 'supertrees', 'have', 'a', 'simple', 'combinatorial', 'description', 'as', 'a', 'median', 'tree', 'minimising', 'a', 'weighted', 'sum', 'of', 'distances', 'to', 'the', 'input', 'trees', 'we', 'show', 'that', 'this', 'approach', 'to', 'ml', 'supertree', 'reconstruction', 'is', 'statistically', 'consistent', 'it', 'converges', 'on', 'the', 'true', 'species', 'supertree', 'as', 'more', 'input', 'trees', 'are', 'combined', 'in', 'contrast', 'to', 'the', 'widelyused', 'mrp', 'method', 'which', 'we', 'show', 'can', 'be', 'statistically', 'inconsistent', 'under', 'the', 'exponential', 'error', 'model', 'we', 'also', 'show', 'that', 'this', 'statistical', 'consistency', 'extends', 'to', 'an', 'ml', 'approach', 'for', 'constructing', 'species', 'supertrees', 'from', 'gene', 'trees', 'in', 'this', 'setting', 'incomplete', 'lineage', 'sorting', 'due', 'to', 'coalescence', 'rates', 'of', 'homologous', 'genes', 'being', 'lower', 'than', 'speciation', 'rates', 'has', 'been', 'shown', 'to', 'lead', 'to', 'gene', 'trees', 'that', 'are', 'frequently', 'different', 'from', 'species', 'trees', 'and', 'this', 'can', 'confound', 'efforts', 'to', 'reconstruct', 'the', 'species', 'phylogeny', 'correctly']] | [-0.03206557217654922, 0.08299853720997025, -0.0956813877508525, 0.1566309594857176, -0.07403117060180633, -0.13657369208371928, 0.09783593647842927, 0.411759698631302, -0.28008785588786966, -0.30003881152238576, 0.04716262998089435, -0.24964171166141186, -0.1726428002239235, 0.16337806270908445, -0.12955173178305548, 0.03855422024104384, 0.1618332925462915, 0.03155887566146351, 0.0007463126526413215, -0.28178767989720066, 0.25802988219525547, 0.07816885679419483, 0.2906111150499313, -0.039034807446577974, 0.11751214604103757, -0.03835382880042157, -0.04005770211956734, 0.07027988432485971, -0.1473867912885673, 0.13553726945012326, 0.30109099455988936, 0.23592190803028643, 0.209980333788741, -0.37028103887193625, -0.21700646764929257, 0.1824058177250047, 0.1774681501931721, 0.21067662063475337, 0.002649382570469301, -0.19943603021543352, 0.13478976938152507, -0.14899810745621161, -0.018106079906705888, -0.04278489510648914, 0.0036365891836823956, -0.0017211758561672702, -0.30413179416509883, 0.11817525015344033, 0.06729950093093419, 0.02803859248787405, -0.003209442585977095, -0.20532357545809882, -0.0421953663034665, 0.10604701282216177, 0.03510645668382847, 0.04764982551907099, 0.07379199356336387, -0.05892652003845621, -0.1529806753650548, 0.3011417228878746, -0.04505223051331291, -0.22601414612013726, 0.2218332699417407, -0.07337477847092574, -0.2036801119417613, 0.13261785509905988, 0.18722113939903437, 0.13271819858571454, -0.2306499200963205, 0.03128587332096011, -0.048851120428392486, 0.17266852283444736, 0.1263287425709648, -0.06254451354184458, 0.18882694702535388, 0.20140898288377831, 0.12281378571454796, 0.12360904515540648, -0.06889357839020029, -0.09766738540342738, -0.17681526057422162, -0.1184231817117712, -0.14946042898321343, 0.03135407962986538, -0.15170451296303766, -0.23240869050120724, 0.3597194019524801, 0.1772120252567073, 0.2313027708640983, 0.19365299685497678, 0.2865586059130428, 0.06642002983529481, 0.0714403388398369, 0.05444410730241572, 0.14664104006613696, 0.13319650840975583, -0.027247946522378875, -0.1507039622568916, 0.18942290652663477, 0.0785667274102208] |
708.2125 | 1/f Flux Noise in Josephson Phase Qubits | We present a new method to measure 1/f noise in Josephson quantum bits
(qubits) that yields low-frequency spectra below 1Hz. Comparison of noise taken
at positive and negative bias of a phase qubit shows the dominant noise source
to be flux noise and not junction critical-current noise, with a magnitude
similar to that measured previously in other systems. Theoretical calculations
show that the level of flux noise is not compatible with the standard model of
noise from two-level state defects in the surface oxides of the films.
| cond-mat.supr-con cond-mat.mes-hall | we present a new method to measure 1f noise in josephson quantum bits qubits that yields lowfrequency spectra below 1hz comparison of noise taken at positive and negative bias of a phase qubit shows the dominant noise source to be flux noise and not junction criticalcurrent noise with a magnitude similar to that measured previously in other systems theoretical calculations show that the level of flux noise is not compatible with the standard model of noise from twolevel state defects in the surface oxides of the films | [['we', 'present', 'a', 'new', 'method', 'to', 'measure', '1f', 'noise', 'in', 'josephson', 'quantum', 'bits', 'qubits', 'that', 'yields', 'lowfrequency', 'spectra', 'below', '1hz', 'comparison', 'of', 'noise', 'taken', 'at', 'positive', 'and', 'negative', 'bias', 'of', 'a', 'phase', 'qubit', 'shows', 'the', 'dominant', 'noise', 'source', 'to', 'be', 'flux', 'noise', 'and', 'not', 'junction', 'criticalcurrent', 'noise', 'with', 'a', 'magnitude', 'similar', 'to', 'that', 'measured', 'previously', 'in', 'other', 'systems', 'theoretical', 'calculations', 'show', 'that', 'the', 'level', 'of', 'flux', 'noise', 'is', 'not', 'compatible', 'with', 'the', 'standard', 'model', 'of', 'noise', 'from', 'twolevel', 'state', 'defects', 'in', 'the', 'surface', 'oxides', 'of', 'the', 'films']] | [-0.13542449479687146, 0.14107216172584, -0.038130719958665384, 0.05845420441962244, 0.030991864636882967, -0.1964887909580493, 0.09520669999243371, 0.392667672061629, -0.20822209884123555, -0.31169877747266456, 0.004371985007644813, -0.3231690224559828, -0.10301513019306906, 0.23852212553115926, -0.1041824088335551, 0.02241812333807178, 0.0387538548066527, -0.016870300810056173, -0.05564411407625624, -0.19529288586486002, 0.30292261929797204, 0.08775566410589107, 0.2932021671948933, -0.010408627340334585, 0.08171414293819802, -0.12011540794795936, 0.030841713674880308, 0.03468105230137877, -0.07979981325613268, 0.008587373913019553, 0.23255857328573862, -0.03480596747115554, 0.16232833989906584, -0.4148079327725131, -0.24614452638920267, 0.08405349563122139, 0.08429187276646838, 0.16244594597568116, -0.03082184579180575, -0.3094205814146105, 0.07590722406266964, -0.11972676239500957, -0.0558000099825159, -0.06898101847404721, -0.014673055486817813, 0.0015064982547499668, -0.25887903550789615, 0.125487202096693, 0.09769569165287433, 0.04134529260789705, -0.031986452134636544, -0.1708430401096388, -0.02395678965117911, 0.08879809720099144, 0.012658190566928651, 0.043940868030968604, 0.19055948560072603, -0.1187363514012989, -0.12451309518053613, 0.2803928543246169, -0.1512931794698896, -0.15137208856899162, 0.1472656673419921, -0.21305089008234357, -0.08967971256345339, 0.19995486138966576, 0.09858485696644619, 0.017433451140706224, -0.1792560307865684, 0.03758997924963076, 0.07363972286212034, 0.2994178892809084, 0.02613085461245186, 0.11058078590652039, 0.19214034226091428, 0.17108083720153047, 0.09182343054991002, 0.1478699432430393, -0.15012464943159928, -0.022521248638587094, -0.2931789893699788, -0.11696422063269192, -0.22703100734754283, 0.10219071274014437, -0.0591442392193632, -0.208572489370046, 0.3830272001696044, 0.20436629427773556, 0.17937316228475036, 0.0007485745276656302, 0.3253596568501544, 0.16501373329852848, 0.048624781229340566, 0.024594471838068347, 0.22433680549114085, 0.18418070151813157, 0.08806966475328837, -0.2592941124083196, 0.029647406067527915, -0.0733236493275169] |
708.2126 | Forster signatures and qubits in optically driven quantum dot molecules | An interesting approach to achieve quantum gate operations in a solid state
device is to implement an optically driven quantum gate using two vertically
coupled self-assembled quantum dots, a quantum dot molecule (QDM). We present a
realistic model for exciton dynamics in InGaAs/GaAs QDMs under intense laser
excitation and applied electric fields. The dynamics is obtained by solutions
of the Lindblad master equation. A map of the dressed ground state as function
of laser energy and applied electric field exhibits rich structure that
includes excitonic anticrossings that permit the identification of the relevant
couplings. The optical signatures of the dipole-dipole Forster energy transfer
mechanism show as splittings of several (spatially) indirect excitonic lines.
Moreover, we construct a model for exciton qubit rotations by adiabatic
electric field cyclic sweeps into a Forster-tunneling regime which induces
level anticrossings. The proposed qubit exhibits Rabi oscillations among two
well defined exciton pairs as function of the residence time at the
anticrossing.
| cond-mat.mes-hall | an interesting approach to achieve quantum gate operations in a solid state device is to implement an optically driven quantum gate using two vertically coupled selfassembled quantum dots a quantum dot molecule qdm we present a realistic model for exciton dynamics in ingaasgaas qdms under intense laser excitation and applied electric fields the dynamics is obtained by solutions of the lindblad master equation a map of the dressed ground state as function of laser energy and applied electric field exhibits rich structure that includes excitonic anticrossings that permit the identification of the relevant couplings the optical signatures of the dipoledipole forster energy transfer mechanism show as splittings of several spatially indirect excitonic lines moreover we construct a model for exciton qubit rotations by adiabatic electric field cyclic sweeps into a forstertunneling regime which induces level anticrossings the proposed qubit exhibits rabi oscillations among two well defined exciton pairs as function of the residence time at the anticrossing | [['an', 'interesting', 'approach', 'to', 'achieve', 'quantum', 'gate', 'operations', 'in', 'a', 'solid', 'state', 'device', 'is', 'to', 'implement', 'an', 'optically', 'driven', 'quantum', 'gate', 'using', 'two', 'vertically', 'coupled', 'selfassembled', 'quantum', 'dots', 'a', 'quantum', 'dot', 'molecule', 'qdm', 'we', 'present', 'a', 'realistic', 'model', 'for', 'exciton', 'dynamics', 'in', 'ingaasgaas', 'qdms', 'under', 'intense', 'laser', 'excitation', 'and', 'applied', 'electric', 'fields', 'the', 'dynamics', 'is', 'obtained', 'by', 'solutions', 'of', 'the', 'lindblad', 'master', 'equation', 'a', 'map', 'of', 'the', 'dressed', 'ground', 'state', 'as', 'function', 'of', 'laser', 'energy', 'and', 'applied', 'electric', 'field', 'exhibits', 'rich', 'structure', 'that', 'includes', 'excitonic', 'anticrossings', 'that', 'permit', 'the', 'identification', 'of', 'the', 'relevant', 'couplings', 'the', 'optical', 'signatures', 'of', 'the', 'dipoledipole', 'forster', 'energy', 'transfer', 'mechanism', 'show', 'as', 'splittings', 'of', 'several', 'spatially', 'indirect', 'excitonic', 'lines', 'moreover', 'we', 'construct', 'a', 'model', 'for', 'exciton', 'qubit', 'rotations', 'by', 'adiabatic', 'electric', 'field', 'cyclic', 'sweeps', 'into', 'a', 'forstertunneling', 'regime', 'which', 'induces', 'level', 'anticrossings', 'the', 'proposed', 'qubit', 'exhibits', 'rabi', 'oscillations', 'among', 'two', 'well', 'defined', 'exciton', 'pairs', 'as', 'function', 'of', 'the', 'residence', 'time', 'at', 'the', 'anticrossing']] | [-0.1989807974359092, 0.20044327854609434, -0.03762531953636939, 0.06198457478044125, 0.03894246841530101, -0.22150396671181974, 0.054806050043015815, 0.42554615271421004, -0.2535001402765584, -0.29983479948714375, -0.056187820326811515, -0.2266954530675251, -0.11174992087165801, 0.22676093439058137, 0.06459031952246545, 0.024289905810012266, 0.04768701374250201, -0.03065326860628258, -0.012328819662798196, -0.1419285859611148, 0.27941728111965436, 0.012789615659783475, 0.2984417378484534, 0.05460410190631265, 0.12985068374277595, -0.007999230483666254, 0.1563943955444325, -0.05964349025191787, -0.11317519987138579, 0.059148272221836336, 0.24416441290351287, -0.03126461464816179, 0.24366288248730156, -0.4609845643892932, -0.18238584849183473, 0.027785106263577174, 0.1639737178129741, 0.21492683861586742, -0.08196186693898291, -0.3322311430835189, -0.05547071402020848, -0.166922192954912, -0.08870825589968799, -0.10198965036005785, -0.004466107519618116, 0.021265191634973653, -0.27714270002019104, 0.07831737065526585, 0.03202425140606908, 0.04311395013251175, -0.06738074134008433, -0.022221542994278327, -0.03400913761325706, 0.0883714989400827, -0.044523019455552384, 0.026631306427962277, 0.2504038452260339, -0.13256195198911697, -0.174249567455636, 0.3393426772314482, -0.13229604621823782, -0.1308458747389989, 0.12511126556768057, -0.1359382978706167, -0.03080601312402182, 0.15212683711583033, 0.087299064730103, 0.11563913509225807, -0.1326099820274603, 0.11017917587574069, 0.008343139024546895, 0.20226501375556183, 0.05992455396559448, 0.11871342454254866, 0.23197674849787012, 0.13496525175511265, 0.07037660562528823, 0.19189685225398698, -0.10827933640207331, -0.16700770517285818, -0.25125357095832723, -0.1388429864638079, -0.20511632410881037, 0.1417923196284578, -0.0074232218233728185, -0.17918324328433627, 0.48391680512577295, 0.09420160433420768, 0.15420650659749904, -0.06387890593778604, 0.27684412022622734, 0.16233368647860913, 0.05818552384451509, 0.006708719632558477, 0.23695552041336226, 0.21537823657779834, 0.06399290875579493, -0.34032373215095735, -0.023685251416351933, -0.002748288021113974] |
708.2127 | Baryogenesis by Quantum Gravity | A novel mechanism of baryogenesis is proposed on the basis of the phase
transition from the conformal invariant space-time to the Einstein space-time
in quantum gravity. Strong-coupling gravitational excitations with dynamical
mass about 10^17 GeV are generated at the transition. They eventually decay
into ordinary matters. As a realization of unparticle physics we show that the
low energy effective interactions between the gravitational potential
describing the excitation and the non-conserving matter currents by the axial
anomalies can explain matter asymmetry out of thermal equilibrium.
| hep-ph gr-qc hep-th | a novel mechanism of baryogenesis is proposed on the basis of the phase transition from the conformal invariant spacetime to the einstein spacetime in quantum gravity strongcoupling gravitational excitations with dynamical mass about 1017 gev are generated at the transition they eventually decay into ordinary matters as a realization of unparticle physics we show that the low energy effective interactions between the gravitational potential describing the excitation and the nonconserving matter currents by the axial anomalies can explain matter asymmetry out of thermal equilibrium | [['a', 'novel', 'mechanism', 'of', 'baryogenesis', 'is', 'proposed', 'on', 'the', 'basis', 'of', 'the', 'phase', 'transition', 'from', 'the', 'conformal', 'invariant', 'spacetime', 'to', 'the', 'einstein', 'spacetime', 'in', 'quantum', 'gravity', 'strongcoupling', 'gravitational', 'excitations', 'with', 'dynamical', 'mass', 'about', '1017', 'gev', 'are', 'generated', 'at', 'the', 'transition', 'they', 'eventually', 'decay', 'into', 'ordinary', 'matters', 'as', 'a', 'realization', 'of', 'unparticle', 'physics', 'we', 'show', 'that', 'the', 'low', 'energy', 'effective', 'interactions', 'between', 'the', 'gravitational', 'potential', 'describing', 'the', 'excitation', 'and', 'the', 'nonconserving', 'matter', 'currents', 'by', 'the', 'axial', 'anomalies', 'can', 'explain', 'matter', 'asymmetry', 'out', 'of', 'thermal', 'equilibrium']] | [-0.1638194932990397, 0.277163310131679, -0.11343123767472293, 0.13599486629772445, -0.06456485137044053, -0.11120656565790774, -0.007139233487015147, 0.2779836155075048, -0.22325064456977306, -0.30451801138891216, 0.008875713186127888, -0.28638801313493223, -0.10869746780510814, 0.09519355166481719, 0.08322986821821403, 0.025043754461443142, -0.05857806143051546, 0.04944587706787778, -0.09490183668649047, -0.15905129062455325, 0.3354906870407008, 0.0706843481734506, 0.255804451204659, 0.10336424884874196, 0.10036077580436886, -0.05640332162147388, 0.03346540801049698, -0.03878914877506239, -0.12952928336302907, 0.0260623486524093, 0.20208922162142007, 0.04364767636954119, 0.14036119209292033, -0.4127781060524285, -0.24269978501390488, 0.1178531160666829, 0.13360898905167623, 0.15885570178007974, -0.10077966950345962, -0.3635066730092235, 0.02284972890213664, -0.19240994264172123, -0.1305920081822911, -0.09771736259461336, 0.0004441305673459456, -0.06953362149319478, -0.2528236466127315, 0.12199794626178032, 0.013398473454193057, -0.018876024091219905, -0.06525629407925797, -0.07071464101872629, -0.054022274539983345, 0.019423197356185744, 0.10784508224432579, 0.01972830178038705, 0.21680159724062487, -0.1762506561686418, -0.10374101913822371, 0.42487015912220594, -0.11744150689420556, -0.13918143096158192, 0.15057549177436158, -0.18408350413665175, -0.11596824555973788, 0.16782954671985603, 0.15285836738171166, 0.04671477397260744, -0.15064577174018182, 0.13135587301214746, 0.022017149088372077, 0.13024582188033187, 0.06711586392928093, 0.0752281484005618, 0.3783698589319274, 0.14502954372160493, 0.018983174026721998, 0.07482849491671437, -0.03801833568251736, -0.11512559286451765, -0.3839904936252251, -0.12502200101568764, -0.15977367403961362, 0.09955422878487125, -0.10456962282530315, -0.10968007285347474, 0.38667521511559333, 0.1521646354277826, 0.15594556243602364, -0.017209751875184122, 0.2736063648051294, 0.12684510089595624, 0.06883040118762958, 0.046318298665851, 0.3459249966378723, 0.1709189762477763, 0.12202756269419167, -0.29524901909809115, -0.05788576732239952, 0.0823166487860449] |
708.2128 | Self-Trapping of Bose-Einstein Condensates in an Optical Lattice: the
Effect of the System Dimension | In the present paper, we investigate the dynamics of a Bose-Einstein
condensates (BEC) loaded into an deep optical lattice of 1D, 2D and 3D, both
analytically and numerically. We focus on the self-trapping state and the
effect of the system dimension. Under the tight-binding approximation we obtain
an analytical criterion for the self-trapping state of BEC using time-dependent
variational method. The phase diagram for self-trapping, soliton, breather, or
diffusion of the BEC cloud is obtained accordingly and verified by directly
solving the discrete Gross-Pitaevskii equation (GPE) numerically. In
particular, we find that the criterion and the phase diagrams are modified
dramatically by the dimension of the lattices.
| cond-mat.mes-hall | in the present paper we investigate the dynamics of a boseeinstein condensates bec loaded into an deep optical lattice of 1d 2d and 3d both analytically and numerically we focus on the selftrapping state and the effect of the system dimension under the tightbinding approximation we obtain an analytical criterion for the selftrapping state of bec using timedependent variational method the phase diagram for selftrapping soliton breather or diffusion of the bec cloud is obtained accordingly and verified by directly solving the discrete grosspitaevskii equation gpe numerically in particular we find that the criterion and the phase diagrams are modified dramatically by the dimension of the lattices | [['in', 'the', 'present', 'paper', 'we', 'investigate', 'the', 'dynamics', 'of', 'a', 'boseeinstein', 'condensates', 'bec', 'loaded', 'into', 'an', 'deep', 'optical', 'lattice', 'of', '1d', '2d', 'and', '3d', 'both', 'analytically', 'and', 'numerically', 'we', 'focus', 'on', 'the', 'selftrapping', 'state', 'and', 'the', 'effect', 'of', 'the', 'system', 'dimension', 'under', 'the', 'tightbinding', 'approximation', 'we', 'obtain', 'an', 'analytical', 'criterion', 'for', 'the', 'selftrapping', 'state', 'of', 'bec', 'using', 'timedependent', 'variational', 'method', 'the', 'phase', 'diagram', 'for', 'selftrapping', 'soliton', 'breather', 'or', 'diffusion', 'of', 'the', 'bec', 'cloud', 'is', 'obtained', 'accordingly', 'and', 'verified', 'by', 'directly', 'solving', 'the', 'discrete', 'grosspitaevskii', 'equation', 'gpe', 'numerically', 'in', 'particular', 'we', 'find', 'that', 'the', 'criterion', 'and', 'the', 'phase', 'diagrams', 'are', 'modified', 'dramatically', 'by', 'the', 'dimension', 'of', 'the', 'lattices']] | [-0.1478259146483354, 0.12437824768511466, -0.0881521227534547, 0.059999125168623976, -0.0008032828630339877, -0.154256820839734, 0.05942418206826932, 0.37147343424192375, -0.23975519054334296, -0.19783106542009615, 0.06290419779012903, -0.22576917615005415, -0.1746588417864187, 0.1799093595440456, 0.08198874697489576, 0.1005696810903811, 0.05154733036461974, -0.009302197818461562, -0.06719249134195672, -0.2693183422959018, 0.36684915970001264, -0.02777006029544146, 0.31125491528519406, 0.06732775266097302, 0.07761014848672806, 0.0021809655063237264, 0.08027524300024053, -0.005157092338097151, -0.22381633405050613, 0.059044842451601944, 0.13391682900549304, 0.019416518431052427, 0.20656792329467624, -0.4812016542304621, -0.24977197971577955, 0.07585202345285112, 0.23292671264558334, 0.23383489846486913, -0.029753597632755535, -0.3815195092618048, -0.012374539441803348, -0.17144461352569618, -0.16877476283497064, -0.12661796245532475, 0.00907893736507291, 0.04089729881423273, -0.25152725472210724, 0.11760322115967208, 0.05812646576342669, 0.05500874074750414, -0.1261902217509521, -0.04500204114413115, -0.0229580272696303, 0.03564587106197097, -0.05850408776874994, -0.016812817894235672, 0.03917110476329505, -0.18048100972495904, -0.04883175233170112, 0.409357145524401, -0.09754589804726714, -0.19297545077714406, 0.1301957364585773, -0.1017245030744332, 0.005243450207374642, 0.12460625723491763, 0.16847744375297574, 0.11144698285454205, -0.12846816936072625, 0.058849626096187456, -0.06634144650807029, 0.16037140166926606, 0.0394495424692667, 0.004924196049257695, 0.20358208386732318, 0.20486688387806518, 0.0035790744733726868, 0.23120492665427866, -0.11949669062616913, -0.1737760196213619, -0.23727018614604234, -0.13643857375414015, -0.22387493290355273, 0.004354338979818554, -0.08170165870026969, -0.15794578906818876, 0.38705095178534704, 0.1407069295871063, 0.15887656286614513, 0.026757736612006883, 0.2814451392400557, 0.21668056630155194, -0.0400734952015576, 0.03580427751441216, 0.2523881439989972, 0.14060286001223965, 0.09633242484686949, -0.33573125129365405, -0.061214217178471315, 0.15597422257779497] |
708.2129 | Unitarily manipulating in time and space a Gaussian wave-packet motional
state of a single atom in a quadratic potential field | The paper first discusses theoretically the off-resonance selective
excitation method that is dependent on the atomic internal states and used to
generate approximately a standard coherent state of harmonic oscillator. The
coherent average method then is proposed to construct the state-selective
trigger pulse. A state-selective trigger pulse can keep Gaussian shape
unchanged but change in an internal-state-dependent form the center-of-mass
position and/or momentum of an atomic Gaussian wave-packet motional state. A
Gaussian wave-packet state is one of the simplest wave-packet states that can
be easily manipulated and controlled in time and space. The paper also
investigates how to manipulate in time and space an atomic Gaussian wave-packet
motional state by a generalized quadratic potential field. A general quadratic
Hamiltonian can affect not only the center-of-mass position and momentum but
also the complex linewidth of a Gaussian wave-packet motional state while keep
Gaussian shape of the motional state unchanged. It is shown that generally
quadratic terms of a quadratic Hamiltonian can control directly the complex
linewidth, while linear terms of a quadratic Hamiltonian can affect only the
center-of-mass position and momentum of a Gaussian wave-packet motional state.
| quant-ph | the paper first discusses theoretically the offresonance selective excitation method that is dependent on the atomic internal states and used to generate approximately a standard coherent state of harmonic oscillator the coherent average method then is proposed to construct the stateselective trigger pulse a stateselective trigger pulse can keep gaussian shape unchanged but change in an internalstatedependent form the centerofmass position andor momentum of an atomic gaussian wavepacket motional state a gaussian wavepacket state is one of the simplest wavepacket states that can be easily manipulated and controlled in time and space the paper also investigates how to manipulate in time and space an atomic gaussian wavepacket motional state by a generalized quadratic potential field a general quadratic hamiltonian can affect not only the centerofmass position and momentum but also the complex linewidth of a gaussian wavepacket motional state while keep gaussian shape of the motional state unchanged it is shown that generally quadratic terms of a quadratic hamiltonian can control directly the complex linewidth while linear terms of a quadratic hamiltonian can affect only the centerofmass position and momentum of a gaussian wavepacket motional state | [['the', 'paper', 'first', 'discusses', 'theoretically', 'the', 'offresonance', 'selective', 'excitation', 'method', 'that', 'is', 'dependent', 'on', 'the', 'atomic', 'internal', 'states', 'and', 'used', 'to', 'generate', 'approximately', 'a', 'standard', 'coherent', 'state', 'of', 'harmonic', 'oscillator', 'the', 'coherent', 'average', 'method', 'then', 'is', 'proposed', 'to', 'construct', 'the', 'stateselective', 'trigger', 'pulse', 'a', 'stateselective', 'trigger', 'pulse', 'can', 'keep', 'gaussian', 'shape', 'unchanged', 'but', 'change', 'in', 'an', 'internalstatedependent', 'form', 'the', 'centerofmass', 'position', 'andor', 'momentum', 'of', 'an', 'atomic', 'gaussian', 'wavepacket', 'motional', 'state', 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'the', 'centerofmass', 'position', 'and', 'momentum', 'of', 'a', 'gaussian', 'wavepacket', 'motional', 'state']] | [-0.11636872862068866, 0.23740038132976918, -0.09861763596775071, 0.04308168721505471, -0.054038460844606964, -0.15591974843854225, 0.025174117893711614, 0.4108623174890395, -0.3079311817518926, -0.24268428842607204, -0.0020058954213445467, -0.19538395474314368, -0.07713975414373381, 0.18355044439905674, -0.030378512995597975, 0.08058457266068667, 0.08115501773715149, 0.05634751812785223, -0.04845759146521369, -0.19472462186209297, 0.2934336803092431, 0.08815459919760445, 0.27165262298958914, 0.01266092108938122, 0.1726832000728977, 0.05722557458343105, 0.07946306901188412, -0.055856620575243765, -0.05767338986502133, 0.0734677868263085, 0.21835839215626, 0.06606044929714934, 0.2792455972052149, -0.42525280953975775, -0.19520333611095944, 0.1132470922474499, 0.18938731012136115, 0.21800356254392173, 0.018600661126691447, -0.31940056059149, -0.043201463907251075, 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708.213 | On The Solvability of Bilinear Equations in Finite Fields | We consider the equation $$ ab + cd = \lambda, \qquad a\in A, b \in B, c\in
C, d \in D, $$ over a finite field $F_q$ of $q$ elements, with variables from
arbitrary sets $ A, B, C, D \subseteq F_q$. The question of solvability of such
and more general equations has recently been considered by D. Hart and A.
Iosevich, who, in particular, proved that if $$ #A #B #C #D \gg q^3, $$ then
above equation has a solution for any $\lambda \in F_q^*$. Here we show that
using bounds of multiplicative character sums allows us to extend the class of
sets which satisfy this property.
| math.NT math.CO | we consider the equation ab cd lambda qquad ain a b in b cin c d in d over a finite field f_q of q elements with variables from arbitrary sets a b c d subseteq f_q the question of solvability of such and more general equations has recently been considered by d hart and a iosevich who in particular proved that if a b c d gg q3 then above equation has a solution for any lambda in f_q here we show that using bounds of multiplicative character sums allows us to extend the class of sets which satisfy this property | [['we', 'consider', 'the', 'equation', 'ab', 'cd', 'lambda', 'qquad', 'ain', 'a', 'b', 'in', 'b', 'cin', 'c', 'd', 'in', 'd', 'over', 'a', 'finite', 'field', 'f_q', 'of', 'q', 'elements', 'with', 'variables', 'from', 'arbitrary', 'sets', 'a', 'b', 'c', 'd', 'subseteq', 'f_q', 'the', 'question', 'of', 'solvability', 'of', 'such', 'and', 'more', 'general', 'equations', 'has', 'recently', 'been', 'considered', 'by', 'd', 'hart', 'and', 'a', 'iosevich', 'who', 'in', 'particular', 'proved', 'that', 'if', 'a', 'b', 'c', 'd', 'gg', 'q3', 'then', 'above', 'equation', 'has', 'a', 'solution', 'for', 'any', 'lambda', 'in', 'f_q', 'here', 'we', 'show', 'that', 'using', 'bounds', 'of', 'multiplicative', 'character', 'sums', 'allows', 'us', 'to', 'extend', 'the', 'class', 'of', 'sets', 'which', 'satisfy', 'this', 'property']] | [-0.18108771618697608, 0.09678455727978372, -0.06547687298563473, -0.037179777308540676, -0.024993737319520877, -0.22650018864877375, 0.05730352199216392, 0.3096406672003807, -0.2976647735956837, -0.1834964921204921, 0.010718257775913705, -0.28601149805863135, -0.10246641756327567, 0.1678869446063889, -0.05208979711374816, 0.044620876506372704, 0.025058508515084052, 0.10396267386043773, -0.05415511745548643, -0.29666890869603046, 0.3003387796126452, -0.12176084785503061, 0.13855673179633038, 0.04259048794012736, 0.06964621273800731, 0.014494199675562628, 0.009880654445356307, 0.03515110795806144, -0.21791178605353173, 0.052721478758315905, 0.2428480155432743, 0.15608451166875004, 0.30857222810314566, -0.31310684714174153, -0.18985645763356895, 0.1936525431845118, 0.1700898822552214, 0.0075843521957650924, 0.005759695222271451, -0.2401854065886023, 0.18729543510377042, -0.17280215049144246, -0.13122892945402248, -0.05406127655513439, 0.22464637527374698, 0.0378911102432575, -0.4014167915481855, 0.008636232607030109, 0.13547594889578427, 0.08600527749570343, -0.04157176845782327, -0.18928893551335432, 0.008947579587316689, 0.01841722056840309, -0.04145214841678264, 0.14384290201169456, -0.02913505456629483, -0.07321629917714745, -0.07392387069401093, 0.38878380262530315, -0.10439945530607457, -0.2334254105922346, 0.11159693724110577, -0.20466480885778426, -0.14900508636663504, 0.07229072992937718, 0.1406362348820503, 0.16569827381959734, -0.06671536958539019, 0.31786794586942585, -0.14638022691531874, 0.13205511832390637, 0.1187358754504399, -0.02037236193256617, 0.07565202430694126, 0.03047164432549228, 0.0438596239295222, 0.09304510418544798, 0.004159214427037274, 0.03628844200797817, -0.34182045523844223, -0.14253346947953105, -0.1423670287842077, 0.16414324194192886, -0.08627347032255356, -0.12561286639709793, 0.2944497347571978, 0.10077235235047399, 0.18173353978450976, 0.04576694848604829, 0.15745909202058672, 0.09049634518576603, 0.03752114064192545, 0.13708837957614484, 0.09311704067330734, 0.22246644931717538, 0.04015830416099954, -0.18494314529622594, 0.03221322342242096, 0.1277271411472968] |
708.2131 | On the possibility of a bimodal solar dynamo | A simple way to couple an interface dynamo model to a fast tachocline model
is presented, under the assumption that the dynamo saturation is due to a
quadratic process and that the effect of finite shear layer thickness on the
dynamo wave frequency is analoguous to the effect of finite water depth on
surface gravity waves. The model contains one free parameter which is fixed by
the requirement that a solution should reproduce the helioseismically
determined thickness of the tachocline. In this case it is found that, in
addition to this solution, another steady solution exists, characterized by a
four times thicker tachocline and 4-5 times weaker magnetic fields. It is
tempting to relate the existence of this second solution to the occurrence of
grand minima in solar activity.
| astro-ph | a simple way to couple an interface dynamo model to a fast tachocline model is presented under the assumption that the dynamo saturation is due to a quadratic process and that the effect of finite shear layer thickness on the dynamo wave frequency is analoguous to the effect of finite water depth on surface gravity waves the model contains one free parameter which is fixed by the requirement that a solution should reproduce the helioseismically determined thickness of the tachocline in this case it is found that in addition to this solution another steady solution exists characterized by a four times thicker tachocline and 45 times weaker magnetic fields it is tempting to relate the existence of this second solution to the occurrence of grand minima in solar activity | [['a', 'simple', 'way', 'to', 'couple', 'an', 'interface', 'dynamo', 'model', 'to', 'a', 'fast', 'tachocline', 'model', 'is', 'presented', 'under', 'the', 'assumption', 'that', 'the', 'dynamo', 'saturation', 'is', 'due', 'to', 'a', 'quadratic', 'process', 'and', 'that', 'the', 'effect', 'of', 'finite', 'shear', 'layer', 'thickness', 'on', 'the', 'dynamo', 'wave', 'frequency', 'is', 'analoguous', 'to', 'the', 'effect', 'of', 'finite', 'water', 'depth', 'on', 'surface', 'gravity', 'waves', 'the', 'model', 'contains', 'one', 'free', 'parameter', 'which', 'is', 'fixed', 'by', 'the', 'requirement', 'that', 'a', 'solution', 'should', 'reproduce', 'the', 'helioseismically', 'determined', 'thickness', 'of', 'the', 'tachocline', 'in', 'this', 'case', 'it', 'is', 'found', 'that', 'in', 'addition', 'to', 'this', 'solution', 'another', 'steady', 'solution', 'exists', 'characterized', 'by', 'a', 'four', 'times', 'thicker', 'tachocline', 'and', '45', 'times', 'weaker', 'magnetic', 'fields', 'it', 'is', 'tempting', 'to', 'relate', 'the', 'existence', 'of', 'this', 'second', 'solution', 'to', 'the', 'occurrence', 'of', 'grand', 'minima', 'in', 'solar', 'activity']] | [-0.1635365084160206, 0.15014283045237006, -0.06884300525755037, 0.07716232295066686, -0.07859388902213049, -0.09060290913898932, 0.03281897476282288, 0.3136578652098082, -0.2729964821577765, -0.28499608219767264, 0.10036064611383273, -0.21874482528660302, -0.1481768458379661, 0.18538448403954014, -0.04616494134588297, -0.010514439841689066, 0.0013161257041127297, 0.025381723963908216, 0.0003979481366831203, -0.21247241836828143, 0.2757725667049603, 0.05336364424361508, 0.2711410059109908, 0.04326646392867186, 0.08730301682209206, -0.09616421704909714, 0.0690370052538509, 0.023131876129859178, -0.1519039309154492, 0.0386052280664444, 0.18723932602451826, 0.0422081985879083, 0.24785535273957968, -0.4410343864109627, -0.24742171391411577, 0.04935998837607949, 0.10733490016188675, 0.10598571397013991, -0.033118954190060265, -0.18412198767232052, 0.11382166441085986, -0.11765560900518136, -0.1719757085287034, -0.00040302813313035076, 0.0529545545884834, -0.05505716761704101, -0.3053123890674969, 0.08271457291706356, 0.07788866666387478, 0.05038123678184988, -0.11949608436525734, -0.04008597658239594, -0.07187984151722387, 0.0638179236828068, 0.1370926052771866, 0.08931961694692601, 0.15736299125448794, -0.13826214523183708, -0.02444853085677984, 0.3755809632924118, -0.09472626543697692, -0.19075944924672034, 0.18949791803493982, -0.19518141900893127, -0.061541831128068214, 0.17758552649946407, 0.1265420081065029, 0.12367427979718691, -0.14522769088701656, 0.06196792373819955, -0.08057807009049435, 0.18768982849148816, 0.07654099712642848, -0.049929801262770745, 0.22112053242654633, 0.20446869105013998, 0.12578590138627635, 0.11831872637001004, -0.11122775370572772, -0.07848680188316245, -0.3145103694712238, -0.12944949140714468, -0.14877027734688145, 0.05548608912524583, -0.0715684446101456, -0.1933997264565077, 0.4078669134137589, 0.16226182124476388, 0.1547785703780476, 0.023118666431852147, 0.28675192362690244, 0.15789602074569972, 0.11024749436408512, 0.08694678408548583, 0.2828500879451979, 0.1808769207288937, 0.10578795772157754, -0.24716016931875334, 0.08104929317135451, 0.08496134495723617] |
708.2132 | Classical Trajectory Perspective on Double Ionization Dynamics of
Diatomic Molecules Irradiated by Ultrashort Intense Laser Pulses | In the present paper, we develop a semiclassical quasi-static model
accounting for molecular double ionization in an intense laser pulse. With this
model, we achieve insight into the dynamics of two highly-correlated valence
electrons under the combined influence of a two-center Coulomb potential and an
intense laser field, and reveal the significant influence of molecular
alignment on the ratio of double over single ion yield. Analysis on the
classical trajectories unveils sub-cycle dynamics of the molecular double
ionization. Many interesting features, such as the accumulation of emitted
electrons in the first and third quadrants of parallel momentum plane, the
regular pattern of correlated momentum with respect to the time delay between
closest collision and ionization moment, are revealed and successfully
explained by back analyzing the classical trajectories. Quantitative agreement
with experimental data over a wide range of laser intensities from tunneling to
over-the-barrier regime is presented.
| physics.atm-clus | in the present paper we develop a semiclassical quasistatic model accounting for molecular double ionization in an intense laser pulse with this model we achieve insight into the dynamics of two highlycorrelated valence electrons under the combined influence of a twocenter coulomb potential and an intense laser field and reveal the significant influence of molecular alignment on the ratio of double over single ion yield analysis on the classical trajectories unveils subcycle dynamics of the molecular double ionization many interesting features such as the accumulation of emitted electrons in the first and third quadrants of parallel momentum plane the regular pattern of correlated momentum with respect to the time delay between closest collision and ionization moment are revealed and successfully explained by back analyzing the classical trajectories quantitative agreement with experimental data over a wide range of laser intensities from tunneling to overthebarrier regime is presented | [['in', 'the', 'present', 'paper', 'we', 'develop', 'a', 'semiclassical', 'quasistatic', 'model', 'accounting', 'for', 'molecular', 'double', 'ionization', 'in', 'an', 'intense', 'laser', 'pulse', 'with', 'this', 'model', 'we', 'achieve', 'insight', 'into', 'the', 'dynamics', 'of', 'two', 'highlycorrelated', 'valence', 'electrons', 'under', 'the', 'combined', 'influence', 'of', 'a', 'twocenter', 'coulomb', 'potential', 'and', 'an', 'intense', 'laser', 'field', 'and', 'reveal', 'the', 'significant', 'influence', 'of', 'molecular', 'alignment', 'on', 'the', 'ratio', 'of', 'double', 'over', 'single', 'ion', 'yield', 'analysis', 'on', 'the', 'classical', 'trajectories', 'unveils', 'subcycle', 'dynamics', 'of', 'the', 'molecular', 'double', 'ionization', 'many', 'interesting', 'features', 'such', 'as', 'the', 'accumulation', 'of', 'emitted', 'electrons', 'in', 'the', 'first', 'and', 'third', 'quadrants', 'of', 'parallel', 'momentum', 'plane', 'the', 'regular', 'pattern', 'of', 'correlated', 'momentum', 'with', 'respect', 'to', 'the', 'time', 'delay', 'between', 'closest', 'collision', 'and', 'ionization', 'moment', 'are', 'revealed', 'and', 'successfully', 'explained', 'by', 'back', 'analyzing', 'the', 'classical', 'trajectories', 'quantitative', 'agreement', 'with', 'experimental', 'data', 'over', 'a', 'wide', 'range', 'of', 'laser', 'intensities', 'from', 'tunneling', 'to', 'overthebarrier', 'regime', 'is', 'presented']] | [-0.11673241141507376, 0.11938740126968023, -0.08210006033306405, 0.057820326896433794, 0.03873691462898907, -0.10606907568042716, 0.04084186202309043, 0.4051641409272609, -0.2769683247483144, -0.3118373359909739, -0.05409814355885355, -0.26460576592466145, -0.07911798556348028, 0.22494587057895243, 0.021746207312489413, 0.015712170316263624, 0.06541225525442103, -0.015245994241997497, -0.03815515859256664, -0.1614063919518579, 0.28049677912120335, 0.09697565472723074, 0.26419650732016525, 0.06544217987628717, 0.09787463028803595, 0.06443132348645683, -0.0073556412914002394, -0.012137604406907235, -0.10969349660524741, 0.08516730312959686, 0.20041183328689777, 0.02168243452396295, 0.24206284697371702, -0.47562608116446703, -0.22385927935909122, 0.026990588888372868, 0.16012533499710963, 0.11505122449606249, -0.10051922472863624, -0.2673091809392894, -0.012172877660965266, -0.1337098355137118, -0.11808299194791749, -0.03708382596561609, 0.0013909859619460592, 0.10351133766290668, -0.2555462392908202, 0.07013452078585755, 0.01760425491016103, 0.05800702798535907, -0.0699660535120367, -0.07196678335408438, -0.014126577267857038, 0.08976834617660394, 0.04724686223477738, 0.06098085754608404, 0.15607148644032773, -0.10509467019527283, -0.10738501453784945, 0.38888449670925535, -0.07670206542139592, -0.11631492932952225, 0.17456614403117907, -0.21987592934771147, -0.07694105881789368, 0.23247568029272433, 0.1527849544455259, 0.12075133345006926, -0.12297193958003023, 0.030309752045655367, -0.008167738522313638, 0.17254857738691798, 0.09780758766342618, 0.06154156733284926, 0.2500483894733431, 0.17687516899983566, 0.009531322145461398, 0.14790770399062464, -0.17458980701455515, -0.17731305488468185, -0.2655397155768659, -0.11212228833257591, -0.1325322486211431, 0.05979998443636099, -0.06530032964526558, -0.1396285829864672, 0.43020769173844736, 0.11583057920725966, 0.18645436894180484, -0.04137846059484841, 0.3124056855752452, 0.12717160033556466, 0.0011412791958818698, 0.009192678404410612, 0.2611293239703989, 0.16132167414985343, 0.08603786764991764, -0.29629371178253516, 0.059474991948650004, -0.01171457786543601] |
708.2133 | Hard diffractive quarkonium hadroproduction at high energies | We present a study of heavy quarkonium production in hard diffractive process
by the Pomeron exchange for Tevatron and LHC energies. The numerical results
are computed using recent experimental determination of the diffractive parton
density functions in Pomeron and are corrected by unitarity corrections through
gap survival probability factor. We give predictions for single as well as
central diffractive ratios. These processes are sensitive to the gluon content
of the Pomeron at small Bjorken-x and may be particularly useful in studying
the small-x physics. They may also be a good place to test the different
available mechanisms for quarkonium production at hadron colliders.
| hep-ph hep-ex nucl-th | we present a study of heavy quarkonium production in hard diffractive process by the pomeron exchange for tevatron and lhc energies the numerical results are computed using recent experimental determination of the diffractive parton density functions in pomeron and are corrected by unitarity corrections through gap survival probability factor we give predictions for single as well as central diffractive ratios these processes are sensitive to the gluon content of the pomeron at small bjorkenx and may be particularly useful in studying the smallx physics they may also be a good place to test the different available mechanisms for quarkonium production at hadron colliders | [['we', 'present', 'a', 'study', 'of', 'heavy', 'quarkonium', 'production', 'in', 'hard', 'diffractive', 'process', 'by', 'the', 'pomeron', 'exchange', 'for', 'tevatron', 'and', 'lhc', 'energies', 'the', 'numerical', 'results', 'are', 'computed', 'using', 'recent', 'experimental', 'determination', 'of', 'the', 'diffractive', 'parton', 'density', 'functions', 'in', 'pomeron', 'and', 'are', 'corrected', 'by', 'unitarity', 'corrections', 'through', 'gap', 'survival', 'probability', 'factor', 'we', 'give', 'predictions', 'for', 'single', 'as', 'well', 'as', 'central', 'diffractive', 'ratios', 'these', 'processes', 'are', 'sensitive', 'to', 'the', 'gluon', 'content', 'of', 'the', 'pomeron', 'at', 'small', 'bjorkenx', 'and', 'may', 'be', 'particularly', 'useful', 'in', 'studying', 'the', 'smallx', 'physics', 'they', 'may', 'also', 'be', 'a', 'good', 'place', 'to', 'test', 'the', 'different', 'available', 'mechanisms', 'for', 'quarkonium', 'production', 'at', 'hadron', 'colliders']] | [-0.018693498914464583, 0.22145738075283872, -0.16666382931860038, 0.22336738844449394, -0.019189662137294856, -0.12232959713081568, 0.0198186850310891, 0.38463478888050445, -0.20616622044460722, -0.23069465984093043, 0.00807741984331673, -0.3047656269915836, 0.024515922185829254, 0.16737315427620433, 0.06574952505637431, 0.14352545823033863, 0.11526847010008195, -0.05406013793917825, 0.003824441145553968, -0.2189360722646262, 0.3431597542994231, 0.10928598596054373, 0.20455497267285308, 0.24574778884540774, 0.01180917184655238, 0.10848880282521826, -0.05921534292775125, -0.03674736400180071, -0.1243170171035725, 0.08583199415012326, 0.3363928113887719, 0.06403523041568335, 0.12647722339601192, -0.40518112428197006, -0.10650123896312366, 0.05007076965084354, 0.15556566645300865, 0.10853222585780528, -0.06516496231327358, -0.22420156771968147, 0.09268586359719194, -0.24276917232019665, -0.13556779580624792, -0.13523321393063492, -0.037045420396132664, 0.00710039704956693, -0.3348707146241863, 0.07601874552467087, -0.11368780686617241, -0.009708727578840498, 0.010122626287482896, -0.22737169839911958, -0.04905676784319351, 0.06577972216911397, 0.10202143078153383, 0.08094246887818919, 0.19355379007033352, -0.2383841071458696, -0.18686702918008113, 0.3712731472044749, -0.004276608266117214, -0.1395541456012616, 0.1803712473449849, -0.23934970442567347, -0.1805726487270909, 0.12948682481983623, 0.25274953145750806, 0.08715000598537691, -0.2102994800283058, 0.09490302527262331, 0.03393875940327614, 0.12427326898515514, 0.08696845600164486, 0.10895103326031161, 0.22981729535205128, 0.2232131116652807, -0.0839953207957911, 0.0709074291771332, -0.08754480622134632, -0.09718488956105362, -0.4354739281556849, -0.08066254637195068, -0.09622604083450674, 0.037779060503223785, -0.10428000798912886, -0.10099431076674785, 0.31491627623281865, 0.08586017315691898, 0.2818111842046085, 0.0017957593793573889, 0.32833008037753475, 0.16860476014819176, 0.07107688940934909, 0.038089265056786316, 0.30088282687571444, 0.1340669148185661, 0.16563473124784933, -0.19735456798316062, 0.09283031857441387, 0.056372095136767594] |
708.2134 | Imaging the Radio Photospheres of Mira Variables | We have used the VLA at 43 GHz to image the radio continuum emission from o
Ceti, R Leo, and W Hya and to precisely locate their SiO maser emission with
respect to the star. The radio continuum emission region for all three stars
has a diameter close to 5.6 AU. These diameters are similar to those measured
at infrared wavelengths in bands containing strong molecular opacity and about
twice those measured in line-free regions of the infrared spectrum. Thus, the
radio photosphere and the infrared molecular layer appear to be coextensive.
The 43 GHz continuum emission is consistent with temperatures near 1600 K and
opacity from H-minus free-free interactions. While the continuum image of o
Ceti appears nearly circular, both R Leo and W Hya display significant
elongations. The SiO masers for all three stars show partial rings with
diameters close to 8 AU.
| astro-ph | we have used the vla at 43 ghz to image the radio continuum emission from o ceti r leo and w hya and to precisely locate their sio maser emission with respect to the star the radio continuum emission region for all three stars has a diameter close to 56 au these diameters are similar to those measured at infrared wavelengths in bands containing strong molecular opacity and about twice those measured in linefree regions of the infrared spectrum thus the radio photosphere and the infrared molecular layer appear to be coextensive the 43 ghz continuum emission is consistent with temperatures near 1600 k and opacity from hminus freefree interactions while the continuum image of o ceti appears nearly circular both r leo and w hya display significant elongations the sio masers for all three stars show partial rings with diameters close to 8 au | [['we', 'have', 'used', 'the', 'vla', 'at', '43', 'ghz', 'to', 'image', 'the', 'radio', 'continuum', 'emission', 'from', 'o', 'ceti', 'r', 'leo', 'and', 'w', 'hya', 'and', 'to', 'precisely', 'locate', 'their', 'sio', 'maser', 'emission', 'with', 'respect', 'to', 'the', 'star', 'the', 'radio', 'continuum', 'emission', 'region', 'for', 'all', 'three', 'stars', 'has', 'a', 'diameter', 'close', 'to', '56', 'au', 'these', 'diameters', 'are', 'similar', 'to', 'those', 'measured', 'at', 'infrared', 'wavelengths', 'in', 'bands', 'containing', 'strong', 'molecular', 'opacity', 'and', 'about', 'twice', 'those', 'measured', 'in', 'linefree', 'regions', 'of', 'the', 'infrared', 'spectrum', 'thus', 'the', 'radio', 'photosphere', 'and', 'the', 'infrared', 'molecular', 'layer', 'appear', 'to', 'be', 'coextensive', 'the', '43', 'ghz', 'continuum', 'emission', 'is', 'consistent', 'with', 'temperatures', 'near', '1600', 'k', 'and', 'opacity', 'from', 'hminus', 'freefree', 'interactions', 'while', 'the', 'continuum', 'image', 'of', 'o', 'ceti', 'appears', 'nearly', 'circular', 'both', 'r', 'leo', 'and', 'w', 'hya', 'display', 'significant', 'elongations', 'the', 'sio', 'masers', 'for', 'all', 'three', 'stars', 'show', 'partial', 'rings', 'with', 'diameters', 'close', 'to', '8', 'au']] | [-0.025206221909872418, 0.08003294114424879, 0.0201782615353546, 0.015749053375249535, -0.05520441317127953, -0.13860694201149304, 0.038238853839193954, 0.5094396994545543, -0.1971920844878006, -0.3058867615667686, 0.054308530416917696, -0.3159703782406347, 0.03020381858524192, 0.13204394617631773, 0.01505028507883002, -0.023511175854645412, 0.04644354845172372, -0.11314398756708371, 0.006904686602025196, -0.158050761407177, 0.2359824197109917, 0.07335736288464274, 0.13364579981385633, -0.005545533091985974, -0.026326628870748242, -0.18600050381481134, -0.06603934524323919, -0.05662162467066584, -0.12824584331106523, 0.05304251088086387, 0.2765396864827851, 0.04248687946558769, 0.13266787418276713, -0.3158053454268595, -0.18617583905699953, 0.012356668654508117, 0.1425092033560163, -0.0009528883636511606, 0.07619098643932877, -0.27244673526187524, 0.11289443980645517, -0.12864403880747227, -0.18947355349002212, 0.12429780274065581, 0.12905435081057506, 0.010024508717871304, -0.2412493236924939, 0.08057256552454983, -0.009714785247141944, 0.15130037874272415, -0.1115352246364386, -0.19124139850509578, -0.11014550652933018, 0.06664128779786928, -0.03534300037145872, 0.10694706519616061, 0.18653897666532931, -0.0841631431582159, -0.049798877076406414, 0.39429968878755284, -0.14078883232934208, 0.029561572757967072, 0.33418786080618357, -0.2870079476835913, -0.16657495850954077, 0.2832902302901293, 0.08549460644095108, 0.11555594458437428, -0.12020329965985027, 0.009310378144687877, -0.02398937479432287, 0.2310851353573902, 0.16584468504799338, 0.13389949215383365, 0.3289118588315965, 0.019358625023722136, 0.025028442551285543, 0.11537976325088148, -0.32330256511039773, -0.006060949263387713, -0.23356644292843753, -0.08295070240916363, -0.1121693464124511, 0.10045401926457496, -0.12235262849376184, -0.0864134567886077, 0.3065574603315828, 0.06531628569395377, 0.21658899178407315, 0.040555992966582036, 0.26593440331775564, 0.06564204231675329, 0.14054396623777676, 0.1880835897995737, 0.3396545398338088, 0.1978057524815587, 0.14864626978202883, -0.21132364834434, -0.010620323771305768, -0.02457188795609721] |
708.2135 | Spectropolarimetry of R Coronae Borealis in 1998--2003: Discovery of
Transient Polarization at Maximum Brightness | We present an extended optical spectropolarimetry of R CrB from 1998 January
to 2003 September. The polarization was almost constant in the phase of maximum
brightness, being consistent with past observations. We detected, however,
temporal changes of polarization ($\sim 0.5$ %) in 2001 March and August, which
were the first detection of large polarization variability in R CrB near
maximum brightness. The amplitude and the position angle of the `transient
polarization' were almost constant with wavelength in both two events. There
was a difference by about 20 degrees in the position angle between the two
events. Each event could be explained by light scattering due to short-lived
dust puff occasionally ejected off the line of sight. The flatness of the
polarization against the wavelength suggests that the scatterer is a mixture of
dust grains having various sizes. The rapid growth and fading of the transient
polarization favors the phenomenological model of dust formation near the
stellar photosphere (e.g., within two stellar radii) proposed for the time
evolution of brightness and chromospheric emission lines during deeply
declining periods, although the fading timescale can hardly be explained by a
simple dispersal of expanding dust puff with a velocity of $\sim 200-350$ km s
$^{-1}$. Higher expansion velocity or some mechanism to destroy the dust grains
should be needed.
| astro-ph | we present an extended optical spectropolarimetry of r crb from 1998 january to 2003 september the polarization was almost constant in the phase of maximum brightness being consistent with past observations we detected however temporal changes of polarization sim 05 in 2001 march and august which were the first detection of large polarization variability in r crb near maximum brightness the amplitude and the position angle of the transient polarization were almost constant with wavelength in both two events there was a difference by about 20 degrees in the position angle between the two events each event could be explained by light scattering due to shortlived dust puff occasionally ejected off the line of sight the flatness of the polarization against the wavelength suggests that the scatterer is a mixture of dust grains having various sizes the rapid growth and fading of the transient polarization favors the phenomenological model of dust formation near the stellar photosphere eg within two stellar radii proposed for the time evolution of brightness and chromospheric emission lines during deeply declining periods although the fading timescale can hardly be explained by a simple dispersal of expanding dust puff with a velocity of sim 200350 km s 1 higher expansion velocity or some mechanism to destroy the dust grains should be needed | [['we', 'present', 'an', 'extended', 'optical', 'spectropolarimetry', 'of', 'r', 'crb', 'from', '1998', 'january', 'to', '2003', 'september', 'the', 'polarization', 'was', 'almost', 'constant', 'in', 'the', 'phase', 'of', 'maximum', 'brightness', 'being', 'consistent', 'with', 'past', 'observations', 'we', 'detected', 'however', 'temporal', 'changes', 'of', 'polarization', 'sim', '05', 'in', '2001', 'march', 'and', 'august', 'which', 'were', 'the', 'first', 'detection', 'of', 'large', 'polarization', 'variability', 'in', 'r', 'crb', 'near', 'maximum', 'brightness', 'the', 'amplitude', 'and', 'the', 'position', 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708.2136 | A Short Study of Alexandroff Spaces | In this paper, we discuss the basic properties of Alexandroff spaces. Several
examples of Alexandroff spaces are given. We show how to construct new
Alexandroff spaces from given ones. Finally, two invariants for compact
Alexandroff spaces are defined and calculated for the given examples.
| math.GN | in this paper we discuss the basic properties of alexandroff spaces several examples of alexandroff spaces are given we show how to construct new alexandroff spaces from given ones finally two invariants for compact alexandroff spaces are defined and calculated for the given examples | [['in', 'this', 'paper', 'we', 'discuss', 'the', 'basic', 'properties', 'of', 'alexandroff', 'spaces', 'several', 'examples', 'of', 'alexandroff', 'spaces', 'are', 'given', 'we', 'show', 'how', 'to', 'construct', 'new', 'alexandroff', 'spaces', 'from', 'given', 'ones', 'finally', 'two', 'invariants', 'for', 'compact', 'alexandroff', 'spaces', 'are', 'defined', 'and', 'calculated', 'for', 'the', 'given', 'examples']] | [-0.09028912771662528, 0.11053995885462924, -0.02261987576176497, 0.20977612331626005, -0.08306718012318015, -0.060907982882450924, -0.025378920283401385, 0.42225871387530456, -0.3116856974295594, -0.21108014238151637, 0.16075995719769376, -0.27996370753019373, -0.2026535938070579, 0.2957797118208625, -0.20444410847267136, 0.015554749332791702, 0.023543012074448845, 0.05087170827160166, -0.15725105399773878, -0.33561112570830365, 0.5185892414301634, -0.08877625794742595, 0.15345996768552472, 0.04040235765701668, 0.13021554647606204, -0.0437078746882352, -0.08086109982634132, 0.046003598254173994, -0.24747333506291563, 0.18072340582412752, 0.2923766195096753, 0.17792438426774673, 0.22508417328142308, -0.3449621799994599, -0.17108337875370952, 0.16044269578362053, 0.08887357438321818, 0.04145092523685889, -0.0454145833553577, -0.3457301285287196, 0.10915568642402915, -0.14245658681135287, -0.13642758181826634, -0.1670502352274277, 0.06331582824614915, 0.08944869761101225, -0.18813727686012333, -0.09340438364200633, 0.06369425665417855, 0.05746144204485146, -0.13651169423775916, -0.10487394472478297, -0.03539157169871032, 0.12014745726165446, -0.01337587399492887, 0.009047934002327647, 0.06745128898712044, -0.00944307526383041, -0.19220102306413042, 0.3408740017224442, -0.007454072216536257, -0.2610966053114019, 0.1660229342100634, -0.13046734865797174, -0.2301270102087239, 0.035688274719921705, 0.15740895532706584, 0.15756982302462513, -0.06183412419208749, 0.1189879810170334, -0.06973517868159847, 0.032568704437422144, 0.09811702639457177, 0.10584514361636882, 0.07105945152315227, 0.12148302200842988, 0.03698314004577696, 0.20769104100128805, 0.037062595947645605, -0.06196683035126294, -0.4005009148439223, -0.17843832384625619, -0.14931868137368423, 0.03611586581576954, -0.07170589861892619, -0.14822522639455696, 0.4079013502394611, 0.09726355817507613, 0.1861133650791916, 0.15491015908562325, 0.1853799661198123, 0.02175421673614024, -0.046412583948536354, 0.07451582873578776, 0.15730649478394876, 0.14986649219116027, 0.034479994369162756, -0.012873387022409588, -0.04798769764602184, 0.20121940728065305] |
708.2137 | Josephson vortex lattices with modulation perpendicular to an in-plane
magnetic field in layered superconductor | In quasi low dimensional superconductors under {\it parallel} magnetic fields
applied along a conducting direction, vortex lattices with a modulation of
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type {\it perpendicular} to the field
may occur due to an enhanced paramagnetic depairing. As the strength of an
in-plane field is varied in a Q2D material, the Josephson vortex lattices
accompanied by nodal planes are formed in higher Landau level (LL) modes of the
superconducting (SC) order parameter and show field-induced structural
transitions. A change of orientation of nodal planes induced by these
transitions should be observed in transport measurements for an out-of-plane
current in real superconductors with point disorder effective on the SC layers.
Further, the $H_{c2}$-transition from this higher LL state to the normal phase
is of second order for moderately strong paramagnetic effects but, in the case
with a strong enough paramagnetic effect, becomes discontinuous as well as the
transition between this modulated state and an ordinary Abrikosov vortex
lattice in the lowest LL. Relevance of these results to recent observations in
organic superconductors suggesting the presence of an FFLO state are discussed.
| cond-mat.supr-con | in quasi low dimensional superconductors under it parallel magnetic fields applied along a conducting direction vortex lattices with a modulation of fuldeferrelllarkinovchinnikov fflo type it perpendicular to the field may occur due to an enhanced paramagnetic depairing as the strength of an inplane field is varied in a q2d material the josephson vortex lattices accompanied by nodal planes are formed in higher landau level ll modes of the superconducting sc order parameter and show fieldinduced structural transitions a change of orientation of nodal planes induced by these transitions should be observed in transport measurements for an outofplane current in real superconductors with point disorder effective on the sc layers further the h_c2transition from this higher ll state to the normal phase is of second order for moderately strong paramagnetic effects but in the case with a strong enough paramagnetic effect becomes discontinuous as well as the transition between this modulated state and an ordinary abrikosov vortex lattice in the lowest ll relevance of these results to recent observations in organic superconductors suggesting the presence of an fflo state are discussed | [['in', 'quasi', 'low', 'dimensional', 'superconductors', 'under', 'it', 'parallel', 'magnetic', 'fields', 'applied', 'along', 'a', 'conducting', 'direction', 'vortex', 'lattices', 'with', 'a', 'modulation', 'of', 'fuldeferrelllarkinovchinnikov', 'fflo', 'type', 'it', 'perpendicular', 'to', 'the', 'field', 'may', 'occur', 'due', 'to', 'an', 'enhanced', 'paramagnetic', 'depairing', 'as', 'the', 'strength', 'of', 'an', 'inplane', 'field', 'is', 'varied', 'in', 'a', 'q2d', 'material', 'the', 'josephson', 'vortex', 'lattices', 'accompanied', 'by', 'nodal', 'planes', 'are', 'formed', 'in', 'higher', 'landau', 'level', 'll', 'modes', 'of', 'the', 'superconducting', 'sc', 'order', 'parameter', 'and', 'show', 'fieldinduced', 'structural', 'transitions', 'a', 'change', 'of', 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0.25064657971774446, 0.0069520567262847, 0.030712978191174276, -0.06044219573309343, -0.13423505511821648, 0.068564099166022, 0.374219258894686, -0.25711316531185874, -0.24868076952829873, 0.02030003156419323, -0.2797648484178678, -0.08967734805136586, 0.17252385174574633, 0.03435890570116443, -0.016165346687649216, -0.05770467634783673, -0.006552250085492207, -0.12023578463486453, -0.231600948786311, 0.31978784599822724, -0.0034214389671743247, 0.35779216007313913, 0.05280888296095342, 0.0025265031187227983, -0.027170868088392405, 0.13711798700306294, 0.07302014065604637, -0.12668079943734342, 0.009761903951381589, 0.28175152619707516, -0.12695299566843074, 0.1775093614930214, -0.4478413265968501, -0.20399409703592972, 0.03823088561236734, 0.1667996581647722, 0.16275580510413845, -0.035827700067545654, -0.3163432254385744, 0.03751327923119235, -0.13297333435790207, -0.15294751014778984, -0.09208876614110263, -0.008899705264848715, 0.01105350817881483, -0.25240393398673006, 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708.2138 | Torus quotients of homogeneous spaces of the general linear group and
the standard representation of certain symmetric groups | We give a stratification of the GIT quotient of the Grassmannian $G_{2,n}$
modulo the normaliser of a maximal torus of $SL_{n}(k)$ with respect to the
ample generator of the Picard group of $G_{2,n}$. We also prove that the flag
variety $GL_{n}(k)/B_{n}$ can be obtained as a GIT quotient of
$GL_{n+1}(k)/B_{n+1}$ modulo a maximal torus of $SL_{n+1}(k)$ for a suitable
choice of an ample line bundle on $GL_{n+1}(k)/B_{n+1}$.
| math.AG math.RT | we give a stratification of the git quotient of the grassmannian g_2n modulo the normaliser of a maximal torus of sl_nk with respect to the ample generator of the picard group of g_2n we also prove that the flag variety gl_nkb_n can be obtained as a git quotient of gl_n1kb_n1 modulo a maximal torus of sl_n1k for a suitable choice of an ample line bundle on gl_n1kb_n1 | [['we', 'give', 'a', 'stratification', 'of', 'the', 'git', 'quotient', 'of', 'the', 'grassmannian', 'g_2n', 'modulo', 'the', 'normaliser', 'of', 'a', 'maximal', 'torus', 'of', 'sl_nk', 'with', 'respect', 'to', 'the', 'ample', 'generator', 'of', 'the', 'picard', 'group', 'of', 'g_2n', 'we', 'also', 'prove', 'that', 'the', 'flag', 'variety', 'gl_nkb_n', 'can', 'be', 'obtained', 'as', 'a', 'git', 'quotient', 'of', 'gl_n1kb_n1', 'modulo', 'a', 'maximal', 'torus', 'of', 'sl_n1k', 'for', 'a', 'suitable', 'choice', 'of', 'an', 'ample', 'line', 'bundle', 'on', 'gl_n1kb_n1']] | [-0.21566047769276395, -0.008713399656699039, -0.10818551619729352, 0.02043814750181304, -0.1094717648294237, -0.10919258497389299, 0.012743177047620216, 0.3253868233175978, -0.34506478610019836, -0.14515150461940923, 0.15072133918366734, -0.195795016673704, -0.11457956911966441, 0.26339854873598567, -0.2012651056672136, -0.013375642162466806, 0.05233846604824066, 0.11511408448928878, -0.13357028833383489, -0.2769942909556751, 0.4735706355127077, 0.032401798263428705, 0.2074773310654102, 0.047422252033674527, 0.17068576032207125, -0.03465747202022208, -0.011043182685084287, 0.009214034037930625, -0.12733700533366543, 0.1573497958533052, 0.2811916203252853, 0.11808290671453708, 0.1501704062231713, -0.32887171185205855, -0.11850220816476005, 0.2157473951903364, 0.11948882784723999, -0.012382918362697911, 0.0055131714898235505, -0.2465766267703166, 0.12780059894753826, -0.1943681767831246, -0.20894359854892605, -0.07211021580807274, 0.08426144141112528, 0.049754017904873875, -0.24399546806567482, -0.12407399845976634, 0.06569365621913993, 0.21123304466406503, -0.027049449937684194, -0.08582869318446942, -0.1373567914383279, 0.032129229482499855, 0.01964182856063994, 0.05642345408347273, 0.11788491569163781, -0.08536714476548017, -0.10096074096740239, 0.42519530192727134, -0.10970055419833415, -0.2232975894289594, 0.07096327879717426, -0.11820341320338822, -0.14169705004268696, 0.18393150770238467, 0.09545907171236144, 0.17810584013424222, 0.09027140739832133, 0.17666176930882982, -0.2211036771260542, 0.08722133892366574, 0.059528446135421596, -0.030291136287684952, 0.1052672957912797, 0.11356276230117868, 0.11096075735986233, 0.14076580441120776, -0.01678049086504394, 0.0005364774888943113, -0.4212987754080031, -0.2740053886784211, -0.07217961477322711, 0.22120953614394817, -0.17353086288101852, -0.19320918445194524, 0.3925849872951706, 0.018302153330296278, 0.24018256305643018, 0.10718765321819644, 0.19636600678934465, 0.03656828018193621, 0.06373459869433963, 0.021126592842241127, 0.10517026421924432, 0.2084883740319619, -0.10697864154945054, -0.201419994057644, -0.04697780640027116, 0.20271059025138144] |
708.2139 | Constant flux relation for aggregation models with desorption and
fragmentation | We study mass fluxes in aggregation models where mass transfer to large
scales by aggregation occurs alongside desorption or fragmentation. Two models
are considered. (1) A system of diffusing, aggregating particles with influx
and outflux of particles (in-out model) (2) A system of diffusing aggregating
particles with fragmentation (chipping model). Both these models can exist in
phases where probability distributions are power laws. In these power law
phases, we argue that the two point correlation function should have a certain
homogeneity exponent. These arguments are based on the exact constant flux
scaling valid for simple aggregation with input. Predictions are compared with
Monte Carlo simulations.
| cond-mat.stat-mech | we study mass fluxes in aggregation models where mass transfer to large scales by aggregation occurs alongside desorption or fragmentation two models are considered 1 a system of diffusing aggregating particles with influx and outflux of particles inout model 2 a system of diffusing aggregating particles with fragmentation chipping model both these models can exist in phases where probability distributions are power laws in these power law phases we argue that the two point correlation function should have a certain homogeneity exponent these arguments are based on the exact constant flux scaling valid for simple aggregation with input predictions are compared with monte carlo simulations | [['we', 'study', 'mass', 'fluxes', 'in', 'aggregation', 'models', 'where', 'mass', 'transfer', 'to', 'large', 'scales', 'by', 'aggregation', 'occurs', 'alongside', 'desorption', 'or', 'fragmentation', 'two', 'models', 'are', 'considered', '1', 'a', 'system', 'of', 'diffusing', 'aggregating', 'particles', 'with', 'influx', 'and', 'outflux', 'of', 'particles', 'inout', 'model', '2', 'a', 'system', 'of', 'diffusing', 'aggregating', 'particles', 'with', 'fragmentation', 'chipping', 'model', 'both', 'these', 'models', 'can', 'exist', 'in', 'phases', 'where', 'probability', 'distributions', 'are', 'power', 'laws', 'in', 'these', 'power', 'law', 'phases', 'we', 'argue', 'that', 'the', 'two', 'point', 'correlation', 'function', 'should', 'have', 'a', 'certain', 'homogeneity', 'exponent', 'these', 'arguments', 'are', 'based', 'on', 'the', 'exact', 'constant', 'flux', 'scaling', 'valid', 'for', 'simple', 'aggregation', 'with', 'input', 'predictions', 'are', 'compared', 'with', 'monte', 'carlo', 'simulations']] | [-0.11714127850718796, 0.22777227414328427, -0.08426636282709382, 0.08694606742688588, 0.03891392163655144, -0.18547243742006167, 0.011039062145920027, 0.3944544344164786, -0.23999637543622937, -0.3227404310855837, 0.05632913491045613, -0.32983531714195297, -0.07689764748682223, 0.12740830988179716, 0.04022079102162804, 0.07208746717799278, 0.025968686814996457, -0.028991851587558078, -0.013677793104822438, -0.1990291816138086, 0.3233390239067376, 0.0669980931871881, 0.26369425848658595, 0.01640204605868175, 0.08305851600709416, -0.05555741318191091, -0.030878967805100337, 0.03589034642846811, -0.16067720272258157, 0.052801103242451235, 0.16692929019000508, 0.07911834303467047, 0.22362076283122104, -0.4438537254574753, -0.26838522052303665, 0.12537849424850372, 0.18472795456847443, 0.09535285224694581, -0.08810104047546961, -0.20622364987752267, 0.03995834399635593, -0.20480367713386105, -0.09107672609832315, -0.06731304473997582, 0.005921842339670374, 0.11813652292559189, -0.32154632304750735, 0.15577406293956475, 0.00715266466584234, 0.02931561463379434, -0.0928698368342815, -0.1127727207705556, -0.04239362001507765, 0.11502304227379638, 0.07304570765478448, -0.0524715092365763, 0.20065599805342832, -0.13775130433163474, -0.11886382701618242, 0.35851405084665333, -0.016595423580812556, -0.2355536249377543, 0.23099818863196386, -0.16434282253612764, -0.1295824555635807, 0.1511274304041373, 0.17377960815404853, 0.10725894209941284, -0.16346841811956395, 0.029315567157963025, -0.01655202390892165, 0.1775153019357406, 0.04038622161107404, -0.026548754100111267, 0.24123280858177515, 0.16547693664296753, -0.0042360081980448395, 0.0912124176287935, -0.09200368724275558, -0.1979219586366699, -0.28128134957736445, -0.12338708303314412, -0.18245109031198636, 0.07500247407172407, -0.15529460391636737, -0.12409636403567025, 0.2859729184724745, 0.16161269926953883, 0.24295877496756257, 0.14333227588795125, 0.2637110542860769, 0.1322763722744726, 0.04705116186690118, 0.07963515847832674, 0.18381034774439675, 0.049677590797502835, 0.06260560568244684, -0.15726011587428815, 0.06856018366026027, 0.08583917577884027] |
708.214 | The nanostructural origin of the ac conductance in dielectric granular
metals: the case study of Co_20(ZrO_2)_80 | We show which is the nanostructure required in granular Co20(ZrO2)80 thin
films to produce an ac response such as the one that is universally observed in
a very wide variety of dielectric materials. A bimodal size distribution of Co
particles yields randomly competing conductance channels which allow both
thermally assisted tunneling through small particles and capacitive conductance
among larger particles that are further apart. A model consisting on a simple
cubic random resistance-capacitor network describes quantitatively the
experimental results as functions of temperature and frequency, and enables the
determination of the microscopic parameters controlling the ac response of the
samples.
| cond-mat.mtrl-sci cond-mat.dis-nn | we show which is the nanostructure required in granular co20zro280 thin films to produce an ac response such as the one that is universally observed in a very wide variety of dielectric materials a bimodal size distribution of co particles yields randomly competing conductance channels which allow both thermally assisted tunneling through small particles and capacitive conductance among larger particles that are further apart a model consisting on a simple cubic random resistancecapacitor network describes quantitatively the experimental results as functions of temperature and frequency and enables the determination of the microscopic parameters controlling the ac response of the samples | [['we', 'show', 'which', 'is', 'the', 'nanostructure', 'required', 'in', 'granular', 'co20zro280', 'thin', 'films', 'to', 'produce', 'an', 'ac', 'response', 'such', 'as', 'the', 'one', 'that', 'is', 'universally', 'observed', 'in', 'a', 'very', 'wide', 'variety', 'of', 'dielectric', 'materials', 'a', 'bimodal', 'size', 'distribution', 'of', 'co', 'particles', 'yields', 'randomly', 'competing', 'conductance', 'channels', 'which', 'allow', 'both', 'thermally', 'assisted', 'tunneling', 'through', 'small', 'particles', 'and', 'capacitive', 'conductance', 'among', 'larger', 'particles', 'that', 'are', 'further', 'apart', 'a', 'model', 'consisting', 'on', 'a', 'simple', 'cubic', 'random', 'resistancecapacitor', 'network', 'describes', 'quantitatively', 'the', 'experimental', 'results', 'as', 'functions', 'of', 'temperature', 'and', 'frequency', 'and', 'enables', 'the', 'determination', 'of', 'the', 'microscopic', 'parameters', 'controlling', 'the', 'ac', 'response', 'of', 'the', 'samples']] | [-0.13191279337619138, 0.20806373353013322, -0.0463145613162355, -0.02692010816929843, -0.029843634587707883, -0.159741404560404, 0.0515501394049462, 0.3836062432389067, -0.24839978238962818, -0.3023764161637636, -0.005434679233168036, -0.2882973299070139, -0.14061821455305273, 0.23729581279313247, 0.011772633384386397, 0.03862112473621212, -0.00022875952223936716, -0.04325934519492692, 0.0005977872413385546, -0.1819342187408245, 0.25654130953251186, 0.030070971067279878, 0.3181585716177719, 0.06542569640177218, 0.08137183662179406, 0.020223601462526455, 0.06778149075472181, 0.06823875663703251, -0.1242391196524341, 0.04233701561925688, 0.2311806044320228, -0.0403574574268376, 0.19479984156505176, -0.45439690332671606, -0.21914484038139986, 0.07164611857422072, 0.11849614031932722, 0.1363624334499955, -0.06671809807955993, -0.2108127314413926, 0.05881143429062583, -0.1360092831145257, -0.10226996908684007, -0.08712838916931151, 0.004235746945734277, 0.06530618991213616, -0.30459750536770436, 0.06603958791667464, 0.04916626341979612, 0.038780005625213936, -0.06956841780173809, -0.1080764402174438, -0.0362790474630516, 0.09967390015119254, 0.008930959516543557, -0.01848184800532769, 0.22679067551243035, -0.12722078707031528, -0.07836121427026962, 0.36357857998592236, -0.07678960703285129, -0.158143226111383, 0.2122159188006525, -0.15689972325726742, -0.03919236797068005, 0.1609030082784217, 0.15427068361513918, 0.1085737267640805, -0.19268118752274813, 0.02545579556538018, -0.052420599894090134, 0.20665148940323053, 0.03440104370861493, 0.04640249337888125, 0.2390654929208033, 0.225678621377382, 0.016810078352614485, 0.17049275665318198, -0.12512355994884716, -0.06774559024382722, -0.2523305798890163, -0.13416431733228343, -0.2168289695800555, 0.05384511657228524, -0.13644455480133535, -0.23235061916644978, 0.41432397658325204, 0.12857202566558062, 0.22747998740147762, 0.03262749823713393, 0.2833295610516962, 0.08555811872903371, 0.0886457809858551, 0.00684943658798331, 0.22407373133106062, 0.15391603642792412, 0.0949031802417882, -0.23490266251199024, 0.12141953054062947, -0.04046777848417711] |
708.2141 | A model for exploring bird morphology | A simplified model of the bird skeleton along with elongation parameters for
the flight feathers is used to explore the diversity of bird shapes. Varying a
small number of parameters simulates a wide range of observed bird silhouettes.
The model may serve to examine developmental factors involved, help museum
curators develop computational approaches to bird morphometry and has
applications in computer generated illustration.
| q-bio.OT | a simplified model of the bird skeleton along with elongation parameters for the flight feathers is used to explore the diversity of bird shapes varying a small number of parameters simulates a wide range of observed bird silhouettes the model may serve to examine developmental factors involved help museum curators develop computational approaches to bird morphometry and has applications in computer generated illustration | [['a', 'simplified', 'model', 'of', 'the', 'bird', 'skeleton', 'along', 'with', 'elongation', 'parameters', 'for', 'the', 'flight', 'feathers', 'is', 'used', 'to', 'explore', 'the', 'diversity', 'of', 'bird', 'shapes', 'varying', 'a', 'small', 'number', 'of', 'parameters', 'simulates', 'a', 'wide', 'range', 'of', 'observed', 'bird', 'silhouettes', 'the', 'model', 'may', 'serve', 'to', 'examine', 'developmental', 'factors', 'involved', 'help', 'museum', 'curators', 'develop', 'computational', 'approaches', 'to', 'bird', 'morphometry', 'and', 'has', 'applications', 'in', 'computer', 'generated', 'illustration']] | [-0.04287329936097006, 0.11623946408415953, -0.06830278112893066, 0.06336224195362615, -0.10788429062074376, -0.1317372737112381, -0.02209986997620454, 0.3760265668647157, -0.2667584481190831, -0.38288944205712705, 0.03541686021286758, -0.2088687306608162, -0.1783486866717419, 0.2245676745660603, -0.12230417396991498, 0.04188783015937559, 0.10228530072887974, 0.0019104770488209194, 0.049248184971807024, -0.1937985656457761, 0.18218112342237008, 0.04704865482118395, 0.27295069130403654, -0.005843637629397332, 0.16233295888551288, 0.011544387273874784, -0.06304939746087979, 0.015825855915272045, -0.16388435592682707, 0.11290462452563502, 0.2722676990494605, 0.21705235531997114, 0.2795249143290141, -0.3961018681348789, -0.2780844902907062, 0.0970989099947647, 0.18454833933344436, 0.12975693279729475, -0.01398919483587619, -0.3027853069767829, 0.03893491446912762, -0.19990209777588172, -0.17598312849267608, -0.08772193803821528, 0.048273967428406374, 0.060752910665339895, -0.25840614050153704, 0.030800135968814767, -0.04824884295729654, 0.14346442423716543, -0.054004965793518794, -0.11973152587574626, -0.027644511593121385, 0.24230526843004757, 0.0678986546967829, 0.007147356636807441, 0.2113846946980745, -0.18951967791728083, -0.11350533338115802, 0.4384675196978071, -0.02671882365312841, -0.1822503429822742, 0.27234950098430827, -0.0843427263067237, -0.10900195611138193, 0.10521475991441144, 0.2705753566105924, 0.04867660883991491, -0.1050048461405649, 0.007539472645259507, -0.03982749853342298, 0.15561111973938607, 0.06802839049625964, -0.07254606789340162, 0.1884883083477025, 0.2440938209183514, -0.04723474477964734, 0.13893596514586418, -0.16266934272079242, -0.10539720177886978, -0.1799594062483973, -0.11834482448027721, -0.11117505094420815, -0.04511054003581641, -0.10961437526889818, -0.1616436896757001, 0.4290390611507945, 0.21187369170088677, 0.2321842144435597, 0.040968571711952485, 0.25735495660808827, -0.02536366687762359, 0.08109507380822112, -0.02579827397500002, 0.14348641832706532, 0.028990843067211763, 0.12819601187393778, -0.20692088199956787, 0.12842905844768715, 0.022854816301592758] |
708.2142 | General entanglement-assisted quantum error-correcting codes | Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of
pre-existing entanglement between the sender and receiver to boost the rate of
transmission. It is possible to construct an EAQECC from any classical linear
code, unlike standard QECCs which can only be constructed from dual-containing
codes. Operator quantum error-correcting codes (OQECCs) allow certain errors to
be corrected (or prevented) passively, reducing the complexity of the
correction procedure. We combine these two extensions of standard quantum error
correction into a unified entanglement-assisted quantum error correction
formalism. This new scheme, which we call entanglement-assisted operator
quantum error correction (EAOQEC), is the most general and powerful quantum
error-correcting technique known, retaining the advantages of both
entanglement-assistance and passive correction. We present the formalism, show
the considerable freedom in constructing EAOQECCs from classical codes, and
demonstrate the construction with examples.
| quant-ph | entanglementassisted quantum errorcorrecting codes eaqeccs make use of preexisting entanglement between the sender and receiver to boost the rate of transmission it is possible to construct an eaqecc from any classical linear code unlike standard qeccs which can only be constructed from dualcontaining codes operator quantum errorcorrecting codes oqeccs allow certain errors to be corrected or prevented passively reducing the complexity of the correction procedure we combine these two extensions of standard quantum error correction into a unified entanglementassisted quantum error correction formalism this new scheme which we call entanglementassisted operator quantum error correction eaoqec is the most general and powerful quantum errorcorrecting technique known retaining the advantages of both entanglementassistance and passive correction we present the formalism show the considerable freedom in constructing eaoqeccs from classical codes and demonstrate the construction with examples | [['entanglementassisted', 'quantum', 'errorcorrecting', 'codes', 'eaqeccs', 'make', 'use', 'of', 'preexisting', 'entanglement', 'between', 'the', 'sender', 'and', 'receiver', 'to', 'boost', 'the', 'rate', 'of', 'transmission', 'it', 'is', 'possible', 'to', 'construct', 'an', 'eaqecc', 'from', 'any', 'classical', 'linear', 'code', 'unlike', 'standard', 'qeccs', 'which', 'can', 'only', 'be', 'constructed', 'from', 'dualcontaining', 'codes', 'operator', 'quantum', 'errorcorrecting', 'codes', 'oqeccs', 'allow', 'certain', 'errors', 'to', 'be', 'corrected', 'or', 'prevented', 'passively', 'reducing', 'the', 'complexity', 'of', 'the', 'correction', 'procedure', 'we', 'combine', 'these', 'two', 'extensions', 'of', 'standard', 'quantum', 'error', 'correction', 'into', 'a', 'unified', 'entanglementassisted', 'quantum', 'error', 'correction', 'formalism', 'this', 'new', 'scheme', 'which', 'we', 'call', 'entanglementassisted', 'operator', 'quantum', 'error', 'correction', 'eaoqec', 'is', 'the', 'most', 'general', 'and', 'powerful', 'quantum', 'errorcorrecting', 'technique', 'known', 'retaining', 'the', 'advantages', 'of', 'both', 'entanglementassistance', 'and', 'passive', 'correction', 'we', 'present', 'the', 'formalism', 'show', 'the', 'considerable', 'freedom', 'in', 'constructing', 'eaoqeccs', 'from', 'classical', 'codes', 'and', 'demonstrate', 'the', 'construction', 'with', 'examples']] | [-0.11522127165395113, 0.06827401922660692, -0.09434861264667893, 0.1130493528659292, -0.010848092597745758, -0.31408241956729355, 0.05572375459667608, 0.3183991787173138, -0.3233687974741853, -0.2783188112648844, 0.07582476130555178, -0.2418982594608123, -0.16532717977174138, 0.24062868359655085, -0.16771504905728893, 0.14441369973453658, 0.07527405231878276, 0.00449405841436948, -0.1517824171584647, -0.29847927063077917, 0.2812763591019707, 0.14611344129906412, 0.26888992704223585, 0.0012836517830102044, 0.11771678855600021, 0.012248677013171765, -0.04431649182304626, -0.04566963404889809, -0.14434660909402375, 0.10473329009699728, 0.2529536023898626, 0.16356241158458568, 0.228827798810169, -0.3918679280718433, -0.2580842126553206, 0.09643626681667618, 0.11838323427435324, 0.29675274280625047, -0.06454214547540395, -0.25780164972942976, 0.08174965806476032, -0.2614500051833519, -0.022175399103123723, -0.08119391703281466, -0.10326504057810024, -0.06296205944346107, -0.257108113580945, 0.013885671553692518, 0.06885357150267668, 0.04153155729366566, 0.051894537636651195, -0.0866778242776796, 0.08053188407722547, 0.17174776394510258, -0.06720903926379694, 0.04003115605122147, 0.1047682028107402, -0.0699935583957606, -0.16531282387503232, 0.34085523469359363, -0.0356723235383317, -0.22160589880352655, 0.09995433685142291, -0.05235349927950679, -0.07852380696367757, 0.10815742596955473, 0.1580309054409047, 0.09030378457755987, -0.12238356308613456, 0.10600344627164304, 0.03787928675425786, 0.20375599796023533, 0.04691511823418941, 0.19014987153514779, 0.1529592398753148, 0.008199794118413489, 0.038987587003449675, 0.19706054021007174, -0.06249455606763941, -0.1627596225807237, -0.3404768361987276, -0.19256980255947542, -0.17553894692242772, 0.07297911780410027, -0.11634770437021107, -0.1731661358201265, 0.3535439107018709, 0.17524842184769232, 0.08082077234364932, 0.11674717470527207, 0.3442706084803088, 0.07483874223344313, 0.15131371946408206, 0.1770305446214007, 0.22874899683449104, 0.19985515984372443, -0.04132755342355524, -0.22903185306367543, 0.01376648148777717, 0.11450123914183323] |
708.2143 | Spin-transfer torques in anti-ferromagnetic metals from first principles | In spite of the absence of a macroscopic magnetic moment, an anti-ferromagnet
is spin-polarized on an atomic scale. The electric current passing through a
conducting anti-ferromagnet is polarized as well, leading to spin-transfer
torques when the order parameter is textured, such as in anti-ferromagnetic
non-collinear spin valves and domain walls. We report a first principles study
on the electronic transport properties of anti-ferromagnetic systems. The
current-induced spin torques acting on the magnetic moments are comparable with
those in conventional ferromagnetic materials, leading to measurable angular
resistances and current-induced magnetization dynamics. In contrast to
ferromagnets, spin torques in anti-ferromagnets are very nonlocal. The torques
acting far away from the center of an anti-ferromagnetic domain wall should
facilitate current-induced domain wall motion.
| cond-mat.mtrl-sci | in spite of the absence of a macroscopic magnetic moment an antiferromagnet is spinpolarized on an atomic scale the electric current passing through a conducting antiferromagnet is polarized as well leading to spintransfer torques when the order parameter is textured such as in antiferromagnetic noncollinear spin valves and domain walls we report a first principles study on the electronic transport properties of antiferromagnetic systems the currentinduced spin torques acting on the magnetic moments are comparable with those in conventional ferromagnetic materials leading to measurable angular resistances and currentinduced magnetization dynamics in contrast to ferromagnets spin torques in antiferromagnets are very nonlocal the torques acting far away from the center of an antiferromagnetic domain wall should facilitate currentinduced domain wall motion | [['in', 'spite', 'of', 'the', 'absence', 'of', 'a', 'macroscopic', 'magnetic', 'moment', 'an', 'antiferromagnet', 'is', 'spinpolarized', 'on', 'an', 'atomic', 'scale', 'the', 'electric', 'current', 'passing', 'through', 'a', 'conducting', 'antiferromagnet', 'is', 'polarized', 'as', 'well', 'leading', 'to', 'spintransfer', 'torques', 'when', 'the', 'order', 'parameter', 'is', 'textured', 'such', 'as', 'in', 'antiferromagnetic', 'noncollinear', 'spin', 'valves', 'and', 'domain', 'walls', 'we', 'report', 'a', 'first', 'principles', 'study', 'on', 'the', 'electronic', 'transport', 'properties', 'of', 'antiferromagnetic', 'systems', 'the', 'currentinduced', 'spin', 'torques', 'acting', 'on', 'the', 'magnetic', 'moments', 'are', 'comparable', 'with', 'those', 'in', 'conventional', 'ferromagnetic', 'materials', 'leading', 'to', 'measurable', 'angular', 'resistances', 'and', 'currentinduced', 'magnetization', 'dynamics', 'in', 'contrast', 'to', 'ferromagnets', 'spin', 'torques', 'in', 'antiferromagnets', 'are', 'very', 'nonlocal', 'the', 'torques', 'acting', 'far', 'away', 'from', 'the', 'center', 'of', 'an', 'antiferromagnetic', 'domain', 'wall', 'should', 'facilitate', 'currentinduced', 'domain', 'wall', 'motion']] | [-0.23216395271010698, 0.20809966733928983, 0.00938606916849191, -0.02306703406793531, -0.159704275863866, -0.024836808503217376, -0.003457424212926223, 0.43901688552772006, -0.3015679667626197, -0.2504668951771843, 0.032902190324966794, -0.3282767239337166, -0.07298018146539106, 0.2257666120538488, 0.06814297440384204, -0.009249326846717547, -0.06636121297487989, -0.01926082291950782, -0.06049059372550498, -0.1274630167366316, 0.25954630283328395, -0.06009291136870161, 0.29215676157424847, 0.08531721439988663, 0.061518919584341344, -0.005552362600186219, 0.18735532318629947, 0.02723487699404359, -0.12648660524282604, 0.02108362495006683, 0.21800573530296485, -0.22047560140490532, 0.14587847873117427, -0.5771397646982223, -0.15874942733595768, -0.011544011160731315, 0.11874850887494783, 0.22217948004448165, -0.040242879148960735, -0.3160566782889267, 0.00860770894990613, -0.16910826257080772, -0.10292763181302386, -0.15752011797546098, 0.006391875325546911, 0.018647931681092206, -0.2927946862531826, 0.13560420862243822, 0.1652517648501089, 0.1354387866604763, -0.11100130683043971, -0.1267093449171322, -0.10616152278962546, 0.07913586945821104, 0.09371980931803894, 0.13853350708183523, 0.23181793640833348, -0.1641614750517571, -0.2187449867410275, 0.34434571038000283, -0.0288693295995472, -0.20099023900305232, 0.1661933457129635, -0.23744905925511073, -0.0006949510386524101, 0.10434860684520876, 0.15602959753402199, 0.1568457164229282, -0.18738852627442004, 0.08163982460488721, 0.039023693552007896, 0.13378425004096547, 0.010176486413305005, 0.05208537616708782, 0.3341034275091564, 0.22250367553788236, 0.09522740251850337, 0.16739881889516256, -0.16443888119926367, -0.10604845852697811, -0.1879896435731401, -0.1382243438779066, -0.2981427347442756, 0.1086428555776365, -0.06053676219865641, -0.17624133542782752, 0.3398066319292411, 0.1931044034116591, 0.13138298868822554, -0.0912098020722624, 0.3063575938033561, 0.059449554263846946, 0.0672395525383763, 0.04411895886490432, 0.26432953217687705, 0.1979803059172506, 0.1614188052616858, -0.32809282706002707, 0.10083020005355744, -0.006021655114212384] |
708.2144 | Some Applications of Ricci Flow in Physics | I discuss certain applications of the Ricci flow in physics. I first review
how it arises in the renormalization group (RG) flow of a nonlinear sigma
model. I then review the concept of a Ricci soliton and recall how a soliton
was used to discuss the RG flow of mass in 2-dimensions. I then present recent
results obtained with Oliynyk on the flow of mass in higher dimensions. The
final section discusses one way in which Ricci flow may arise in general
relativity, particularly for static metrics.
| hep-th gr-qc math.DG | i discuss certain applications of the ricci flow in physics i first review how it arises in the renormalization group rg flow of a nonlinear sigma model i then review the concept of a ricci soliton and recall how a soliton was used to discuss the rg flow of mass in 2dimensions i then present recent results obtained with oliynyk on the flow of mass in higher dimensions the final section discusses one way in which ricci flow may arise in general relativity particularly for static metrics | [['i', 'discuss', 'certain', 'applications', 'of', 'the', 'ricci', 'flow', 'in', 'physics', 'i', 'first', 'review', 'how', 'it', 'arises', 'in', 'the', 'renormalization', 'group', 'rg', 'flow', 'of', 'a', 'nonlinear', 'sigma', 'model', 'i', 'then', 'review', 'the', 'concept', 'of', 'a', 'ricci', 'soliton', 'and', 'recall', 'how', 'a', 'soliton', 'was', 'used', 'to', 'discuss', 'the', 'rg', 'flow', 'of', 'mass', 'in', '2dimensions', 'i', 'then', 'present', 'recent', 'results', 'obtained', 'with', 'oliynyk', 'on', 'the', 'flow', 'of', 'mass', 'in', 'higher', 'dimensions', 'the', 'final', 'section', 'discusses', 'one', 'way', 'in', 'which', 'ricci', 'flow', 'may', 'arise', 'in', 'general', 'relativity', 'particularly', 'for', 'static', 'metrics']] | [-0.1425506924279034, 0.09756223134544872, -0.11265755514072817, 0.04661114528222919, -0.06968539576371048, -0.15399573465570982, -0.07786674187031337, 0.340473418660072, -0.251852386089605, -0.22078091848295095, 0.12252795761505272, -0.2602904420833342, -0.16068205443687392, 0.16076772081459936, -0.08485517454831752, 0.022112813588708292, 0.03917727389827717, 0.09700591260090817, -0.08966980422413799, -0.23611178725069865, 0.4047159930626147, -0.010558749863141498, 0.2507067278655636, 0.12033674098702885, 0.07809940757511487, -0.0437007327834794, -0.06836898149489316, 0.0568124643678582, -0.23605104298655724, 0.11396617089333229, 0.22644506330428602, 0.13041896163485944, 0.21963441930169803, -0.398387178995235, -0.25071069626354203, 0.03829567562138965, 0.1369131922797668, 0.14609112962403573, -0.08860433368190992, -0.2598914291146536, 0.06079032731805603, -0.198054026812315, -0.14963295237976126, -0.05134193738245643, 0.017586826650035935, -0.006018705005475948, -0.16208203548435554, 0.1049778309087594, 0.048967172375468666, 0.02117910106168237, -0.02854077755148674, -0.0888317674208909, -0.0402763145434302, 0.07702603480821951, 0.12612873796498142, 0.01197855887653003, 0.12485090353482858, -0.20262493896447015, -0.09145090594714464, 0.42965427803438766, -0.13997594117685114, -0.18861611419205748, 0.14105313635149666, -0.1196252218296015, -0.15325534553808529, 0.03364667240909279, 0.231077975257798, 0.15111736178961258, -0.12908313907195576, 0.07750962984810453, -0.04085842183206317, 0.10174959017570283, 0.045977585656611725, -0.02849628697731532, 0.1712287426547169, 0.1640930821642626, 0.0778878080052172, 0.09044003229707392, -0.029827307770299443, -0.10849556240772959, -0.38920583666930364, -0.18137457210104913, -0.0952124853163611, 0.10227351637589636, -0.11092547535186303, -0.09250969753254118, 0.43816963711017093, 0.15071409379354092, 0.21106803851462033, 0.02404794336410326, 0.24811549363441246, 0.07960010349187394, 0.01282164107380045, 0.1210481023448411, 0.28905673910928675, 0.1720689892292369, 0.17253656281959698, -0.20899638840062326, -0.09139262282067563, 0.13579958104420192] |
708.2145 | Results and Frontiers in Lattice Baryon Spectroscopy | The Lattice Hadron Physics Collaboration (LHPC) baryon spectroscopy effort is
reviewed. To date the LHPC has performed exploratory Lattice QCD calculations
of the low-lying spectrum of Nucleon and Delta baryons. These calculations
demonstrate the effectiveness of our method by obtaining the masses of an
unprecedented number of excited states with definite quantum numbers. Future
work of the project is outlined.
| hep-lat | the lattice hadron physics collaboration lhpc baryon spectroscopy effort is reviewed to date the lhpc has performed exploratory lattice qcd calculations of the lowlying spectrum of nucleon and delta baryons these calculations demonstrate the effectiveness of our method by obtaining the masses of an unprecedented number of excited states with definite quantum numbers future work of the project is outlined | [['the', 'lattice', 'hadron', 'physics', 'collaboration', 'lhpc', 'baryon', 'spectroscopy', 'effort', 'is', 'reviewed', 'to', 'date', 'the', 'lhpc', 'has', 'performed', 'exploratory', 'lattice', 'qcd', 'calculations', 'of', 'the', 'lowlying', 'spectrum', 'of', 'nucleon', 'and', 'delta', 'baryons', 'these', 'calculations', 'demonstrate', 'the', 'effectiveness', 'of', 'our', 'method', 'by', 'obtaining', 'the', 'masses', 'of', 'an', 'unprecedented', 'number', 'of', 'excited', 'states', 'with', 'definite', 'quantum', 'numbers', 'future', 'work', 'of', 'the', 'project', 'is', 'outlined']] | [-0.08810457242652774, 0.22292274631933348, -0.08658555410802364, 0.04739705492199088, -0.05657033305615187, -0.03978919084183872, 0.07562592018318053, 0.3390044382152458, -0.12277291526552289, -0.31861459616726884, 0.01318829298640291, -0.354421181169649, -0.029848750922246835, 0.1258624329154069, 0.142954297332714, 0.15073106527949373, 0.1153368460169683, -0.0067735106373826666, -0.027880220479952793, -0.25996794911722343, 0.31690505432197824, 0.1325610489487493, 0.23172939041008553, 0.1609077035759886, 0.007378701594037315, -0.03122453629039228, -0.09852561677495639, -0.06422082362696528, -0.14012271156486047, 0.15312482697093704, 0.254146589525044, 0.0918824329196165, 0.22237381003020953, -0.38242852333933114, -0.15484114576441546, 0.06904726089754452, 0.1528207035269588, 0.15094531144325932, -0.1033966269188871, -0.33257320465442414, 0.059257542480675815, -0.19509169186155, -0.22022980798889571, -0.19011197083164005, -0.03427412996146207, -0.026033554257204137, -0.23107480114946763, 0.05398772416325907, -0.10902647413313389, 0.09617656516469045, -0.028247732335391143, -0.2629683498836433, -0.057632784689000495, 0.08591595827795875, 0.03988495554076508, 0.09074791218154132, 0.09953494382401308, -0.1349104236694984, -0.1916573081165552, 0.43464142829179764, 0.020289019184807935, -0.07917078632550935, 0.08547578520471386, -0.21276163349393756, -0.1741479008924216, 0.1052045353067418, 0.16133418053699036, 0.07527222804104289, -0.13287021545693278, 0.12175776823714841, -0.06171673674446841, 0.21037098188729336, 0.007994711740563314, 0.06708966682975491, 0.22109852450278897, 0.2335657211020589, -0.07119575754428903, 0.06162889312642316, -0.07484545400754238, -0.08466866743013574, -0.31084760002947104, -0.08427141453139483, -0.22705879531179865, 0.054461335027978446, -0.011266137558413903, -0.085373935305203, 0.41149446871131656, 0.1141543655966719, 0.17165244524367154, -0.0266784288881657, 0.29740329515188935, 0.050392318029965584, 0.058065562497358766, 0.003135065877965341, 0.2707129187571506, 0.22259813915006815, 0.11684157191775739, -0.3541527325132241, -0.08139720405451953, 0.060754919440175095] |
708.2146 | Two-Fermion Bound States within the Bethe-Salpeter Approach | To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we
propose a novel method related to the use of hyperspherical harmonics. We
suggest an appropriate extension to form a new basis of spin-angular harmonics
that is suitable for a representation of the vertex functions. We present a
numerical algorithm to solve the Bethe-Salpeter equation and investigate in
detail the properties of the solution for the scalar, pseudoscalar and vector
meson exchange kernels including the stability of bound states. We also compare
our results to the non relativistic ones and to the results given by light
front dynamics.
| nucl-th hep-ph | to solve the spinorspinor bethesalpeter equation in euclidean space we propose a novel method related to the use of hyperspherical harmonics we suggest an appropriate extension to form a new basis of spinangular harmonics that is suitable for a representation of the vertex functions we present a numerical algorithm to solve the bethesalpeter equation and investigate in detail the properties of the solution for the scalar pseudoscalar and vector meson exchange kernels including the stability of bound states we also compare our results to the non relativistic ones and to the results given by light front dynamics | [['to', 'solve', 'the', 'spinorspinor', 'bethesalpeter', 'equation', 'in', 'euclidean', 'space', 'we', 'propose', 'a', 'novel', 'method', 'related', 'to', 'the', 'use', 'of', 'hyperspherical', 'harmonics', 'we', 'suggest', 'an', 'appropriate', 'extension', 'to', 'form', 'a', 'new', 'basis', 'of', 'spinangular', 'harmonics', 'that', 'is', 'suitable', 'for', 'a', 'representation', 'of', 'the', 'vertex', 'functions', 'we', 'present', 'a', 'numerical', 'algorithm', 'to', 'solve', 'the', 'bethesalpeter', 'equation', 'and', 'investigate', 'in', 'detail', 'the', 'properties', 'of', 'the', 'solution', 'for', 'the', 'scalar', 'pseudoscalar', 'and', 'vector', 'meson', 'exchange', 'kernels', 'including', 'the', 'stability', 'of', 'bound', 'states', 'we', 'also', 'compare', 'our', 'results', 'to', 'the', 'non', 'relativistic', 'ones', 'and', 'to', 'the', 'results', 'given', 'by', 'light', 'front', 'dynamics']] | [-0.10414150880995332, 0.07589159616327379, -0.13215030147934081, 0.0932426666180824, -0.11168608044936638, -0.0770993474390857, 0.03187920381891128, 0.3477779594394042, -0.25009703624647917, -0.21713552608625175, 0.035435117135477284, -0.28044899964954745, -0.17589065650497207, 0.16427123652214243, 0.022417680564403686, 0.08023543791250162, 0.0771222142514667, 0.031157290034917826, -0.10703148284552562, -0.20108246163479485, 0.38284248781880154, 0.006336657232580918, 0.21868770636531726, 0.07928009119518485, 0.11581078057955067, 0.02442200142967025, 0.0029519995165623956, -0.04248796188849812, -0.13182396010398809, 0.15288607317224606, 0.18564773076357916, 0.11914061296601616, 0.23869836932893113, -0.4216451306644942, -0.19187472419112384, 0.07417283975279208, 0.15197918377816677, 0.13768658581545057, -0.057198544544139016, -0.29459106961034776, 0.07345378652548648, -0.1590288790211696, -0.19530034224147497, -0.16154660221630918, -0.007615815953726007, 0.006103855048872761, -0.30836994517786603, 0.05799513211030964, -0.002540993441817994, -0.043918816766404, -0.12873407521947605, -0.12756310221883133, 0.04038172287952885, 0.04098820881245984, 0.01729723788346596, 0.05827570798538011, 0.04595134999679843, -0.1562762018389155, -0.12398398104099768, 0.4048448238118561, -0.1078489062942795, -0.284748466090136, 0.13589653682885403, -0.13115018343591353, -0.0929522084974751, 0.09077346089209631, 0.2307013512790664, 0.1550250268522074, -0.1708307450771639, 0.07474968052221961, -0.045287152670669496, 0.12385619890674487, 0.04491058538293408, 0.022490344908011637, 0.0999625501098092, 0.1220834528086419, 0.035308247177679206, 0.17775554532069981, -0.04114320353945698, -0.11903581048659596, -0.3245709649834436, -0.17645620632275805, -0.15877087381620383, -0.006908534243510863, -0.08768319143129383, -0.14674876359430594, 0.4480062347582359, 0.13620761988358093, 0.19478285624693656, 0.035750989898194356, 0.285254166739964, 0.1633264200303454, 0.03295651307334336, 0.1111401391129211, 0.23859504990510105, 0.1857839080975535, 0.0875944908199467, -0.2627671457606262, -0.049646331417403114, 0.13794501818543703] |
708.2147 | The logistic equation and a critique of the theory of natural selection | Species coexistence is one of the central themes in modern ecology.
Coexistence is a prerequisite of biological diversity. However, the question
arises how biodiversity can be reconciled with the statement of competition
theory, which asserts that competing species cannot coexist. To solve this
problem natural selection theory is rejected because it contradicts kinetic
models of interacting populations. Biological evolution is presented as a
process equivalent to a chemical reaction. The main point is that interactions
occur between self-replicating units. Under these assumptions biodiversity is
possible if and only if species are identical with respect to the patterns of
energy flow in which individuals are involved.
| q-bio.PE | species coexistence is one of the central themes in modern ecology coexistence is a prerequisite of biological diversity however the question arises how biodiversity can be reconciled with the statement of competition theory which asserts that competing species cannot coexist to solve this problem natural selection theory is rejected because it contradicts kinetic models of interacting populations biological evolution is presented as a process equivalent to a chemical reaction the main point is that interactions occur between selfreplicating units under these assumptions biodiversity is possible if and only if species are identical with respect to the patterns of energy flow in which individuals are involved | [['species', 'coexistence', 'is', 'one', 'of', 'the', 'central', 'themes', 'in', 'modern', 'ecology', 'coexistence', 'is', 'a', 'prerequisite', 'of', 'biological', 'diversity', 'however', 'the', 'question', 'arises', 'how', 'biodiversity', 'can', 'be', 'reconciled', 'with', 'the', 'statement', 'of', 'competition', 'theory', 'which', 'asserts', 'that', 'competing', 'species', 'can', 'not', 'coexist', 'to', 'solve', 'this', 'problem', 'natural', 'selection', 'theory', 'is', 'rejected', 'because', 'it', 'contradicts', 'kinetic', 'models', 'of', 'interacting', 'populations', 'biological', 'evolution', 'is', 'presented', 'as', 'a', 'process', 'equivalent', 'to', 'a', 'chemical', 'reaction', 'the', 'main', 'point', 'is', 'that', 'interactions', 'occur', 'between', 'selfreplicating', 'units', 'under', 'these', 'assumptions', 'biodiversity', 'is', 'possible', 'if', 'and', 'only', 'if', 'species', 'are', 'identical', 'with', 'respect', 'to', 'the', 'patterns', 'of', 'energy', 'flow', 'in', 'which', 'individuals', 'are', 'involved']] | [-0.11710691133092316, 0.19341982040062267, -0.09078769185574823, 0.12157947971122925, -0.04587532114237547, -0.1671198783574169, 0.019156041500193753, 0.32725622705271784, -0.3049125141060015, -0.29140402536832655, 0.03721940395079623, -0.26492129304920725, -0.15928076739633842, 0.12252632609375243, -0.08363097616172624, -0.06806188346466648, 0.06540936926371013, 0.015653051075718877, 0.06703013204804727, -0.2491723184675892, 0.33495015775749704, 0.016827371213057975, 0.29862825040055335, 0.06261614906186466, 0.09310242468749287, -0.06064334114407242, 0.015588190619622902, 0.035546701577193335, -0.06816699666276965, 0.10427557185340568, 0.3309216463540855, 0.18139231059137942, 0.26999329712312176, -0.42447101359940925, -0.2808890286305884, 0.17103650990680283, 0.1560602408289066, 0.10695011768586722, -0.02266480371725025, -0.1836006623200791, 0.06712990512473965, -0.10962334533144043, -0.16202738262572378, -0.02341043358703829, 0.02111655608849723, 0.048189574337502906, -0.2543058908711416, 0.1359446740814678, 0.06103993268718697, 0.08113113262708176, -0.0651256938658233, -0.08516081916344054, -0.08149804708653323, 0.16528346077626888, 0.09789987114880823, -0.0023250787522762417, 0.14978945064621996, -0.10683008926296782, -0.11564580375715247, 0.45409795128793085, -0.005085916565906889, -0.1913602308936874, 0.2914405696199469, -0.09877222208833357, -0.17688028425645996, 0.12110827663772793, 0.11286635199706685, 0.06531145001480461, -0.19481520916177136, 0.07242683906773685, -0.06499134067375704, 0.1978576044095702, 0.0761692140532552, -0.0006551717930772113, 0.2590862466549536, 0.22188505978446524, 0.07057555203484196, 0.040154033418490005, 0.013092511138035301, -0.20273151354181124, -0.24043834243707782, -0.12790758320007403, -0.14393892321946486, 0.061065722166979024, -0.03599389163073798, -0.12554018691902594, 0.32954680668365843, 0.17295563102969988, 0.156086335876816, -0.0074188906418265034, 0.24540074041359267, 0.0929012359372551, 0.05562972653720897, -0.008221895939160912, 0.19785886654687412, 0.1369466830642437, 0.06838030038173047, -0.20006322326964504, 0.16898104122330276, 0.01941044555695833] |
708.2148 | Kondo lattice model at half-filling | The single- and two-channel Kondo lattice model consisting of localized spins
interacting antiferromagnetically with the itinerent electrons, are studied
using dynamical mean field theory. As an impurity solver for the effective
single impurity Anderson model we used the exact diagonalization (ED) method.
Using ED allowed us to perform calculations for low temperatures and couplings
of arbitrary large strength. Our results for the single-channel case confirm
and extend the recent investigations. In the two-channel case we find a
symmetry breaking phase transition with increasing coupling strength.
| cond-mat.str-el | the single and twochannel kondo lattice model consisting of localized spins interacting antiferromagnetically with the itinerent electrons are studied using dynamical mean field theory as an impurity solver for the effective single impurity anderson model we used the exact diagonalization ed method using ed allowed us to perform calculations for low temperatures and couplings of arbitrary large strength our results for the singlechannel case confirm and extend the recent investigations in the twochannel case we find a symmetry breaking phase transition with increasing coupling strength | [['the', 'single', 'and', 'twochannel', 'kondo', 'lattice', 'model', 'consisting', 'of', 'localized', 'spins', 'interacting', 'antiferromagnetically', 'with', 'the', 'itinerent', 'electrons', 'are', 'studied', 'using', 'dynamical', 'mean', 'field', 'theory', 'as', 'an', 'impurity', 'solver', 'for', 'the', 'effective', 'single', 'impurity', 'anderson', 'model', 'we', 'used', 'the', 'exact', 'diagonalization', 'ed', 'method', 'using', 'ed', 'allowed', 'us', 'to', 'perform', 'calculations', 'for', 'low', 'temperatures', 'and', 'couplings', 'of', 'arbitrary', 'large', 'strength', 'our', 'results', 'for', 'the', 'singlechannel', 'case', 'confirm', 'and', 'extend', 'the', 'recent', 'investigations', 'in', 'the', 'twochannel', 'case', 'we', 'find', 'a', 'symmetry', 'breaking', 'phase', 'transition', 'with', 'increasing', 'coupling', 'strength']] | [-0.1329024649568878, 0.1717268064456307, -0.011589540689740153, 0.061782007881750665, -0.009465603393480359, -0.22446777852435065, 0.07969130516201924, 0.3574379265136529, -0.19564777763471716, -0.30058442526275203, 0.0049504008950732115, -0.3278574731555723, -0.11636824737347308, 0.1302978455094576, 0.1190431413706392, 0.030568928624104177, 0.011211632917236005, 0.020177636109153917, -0.12195612751834449, -0.21626194582010308, 0.24196813157964026, 0.03754042184335135, 0.27603882230773924, 0.09415253630279385, 0.028341655907708974, 0.1399662520880589, 0.09934007475108263, 0.029936729744631088, -0.14494307279875057, 0.05415917894221084, 0.21824285298186755, -0.09032631083391607, 0.17575406405099092, -0.45665618617619785, -0.21280164056501927, 0.019310351098067172, 0.16082826177478723, 0.21947216577938802, -0.06191792713832997, -0.32915178005073575, 0.009397455457864063, -0.2058827314038007, -0.15879807692752884, -0.10088741302578932, -0.039846153368541436, -0.024643288725720986, -0.3413585733090128, 0.10786249780011574, -0.001776597957706101, 0.09009827582719611, -0.08386729099965166, -0.10052803941514521, 0.009614153723565064, 0.09599371018287327, 0.0449362146374326, 0.03963236556211043, 0.12115498378296338, -0.07445624557190708, -0.12935757154731878, 0.3469236576430766, -0.0983417143732021, -0.14680023246356064, 0.22448732425636125, -0.1200294704425947, -0.1102772520722023, 0.14891961474149001, 0.13366362933690348, 0.12840106904817125, -0.10369429249147374, 0.15816937474127848, -0.050001824574012844, 0.17575496179328876, -0.06044810853477213, 0.01571434693289034, 0.21449332066722923, 0.18959547323174775, -0.0005810847838542291, 0.16141212444719194, -0.1273788010834583, -0.14724334797245406, -0.22219714510165864, -0.06696659222749683, -0.22962998091575823, 0.02598156879789063, -0.08661913567924612, -0.1699100481179942, 0.3984292789828032, 0.21440136973701773, 0.17608214186925797, 0.01662027061684057, 0.22109941449681564, 0.15847473967975625, 0.02131477052101954, 0.04692228262068793, 0.2270005229594452, 0.20228314584875035, 0.05723744582030035, -0.3265065998060718, -0.06531317566294179, 0.08089088257457618] |
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