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707.223 | Ab initio relativistic many-body calculation of hyperfine splitting of
^{113}Cd^+ | This work presents accurate ab initio determination of the hyperfine
splitting for the ground state and few low-lying excited states of 113Cd+;
important candidates for the frequency standard in the microwave region, using
coupled-cluster theory (CC) in the relativistic framework. The calculated
hyperfine splitting are well in agreement with recent experimental results. We
have also carried out the lifetimes of the 5p2P1=2 and 5p2P3=2 states, which
are in well agreement with recent experimental result (Moehring et al., PRA 73
023413, 2006). The roles of different electron correlation effects in the
determination of these quantities are discussed and their contributions are
presented in the CC terms.
| physics.atom-ph physics.comp-ph | this work presents accurate ab initio determination of the hyperfine splitting for the ground state and few lowlying excited states of 113cd important candidates for the frequency standard in the microwave region using coupledcluster theory cc in the relativistic framework the calculated hyperfine splitting are well in agreement with recent experimental results we have also carried out the lifetimes of the 5p2p12 and 5p2p32 states which are in well agreement with recent experimental result moehring et al pra 73 023413 2006 the roles of different electron correlation effects in the determination of these quantities are discussed and their contributions are presented in the cc terms | [['this', 'work', 'presents', 'accurate', 'ab', 'initio', 'determination', 'of', 'the', 'hyperfine', 'splitting', 'for', 'the', 'ground', 'state', 'and', 'few', 'lowlying', 'excited', 'states', 'of', '113cd', 'important', 'candidates', 'for', 'the', 'frequency', 'standard', 'in', 'the', 'microwave', 'region', 'using', 'coupledcluster', 'theory', 'cc', 'in', 'the', 'relativistic', 'framework', 'the', 'calculated', 'hyperfine', 'splitting', 'are', 'well', 'in', 'agreement', 'with', 'recent', 'experimental', 'results', 'we', 'have', 'also', 'carried', 'out', 'the', 'lifetimes', 'of', 'the', '5p2p12', 'and', '5p2p32', 'states', 'which', 'are', 'in', 'well', 'agreement', 'with', 'recent', 'experimental', 'result', 'moehring', 'et', 'al', 'pra', '73', '023413', '2006', 'the', 'roles', 'of', 'different', 'electron', 'correlation', 'effects', 'in', 'the', 'determination', 'of', 'these', 'quantities', 'are', 'discussed', 'and', 'their', 'contributions', 'are', 'presented', 'in', 'the', 'cc', 'terms']] | [-0.09661875940896202, 0.13054814179298826, -0.010934365784177686, 0.049834228954093514, 0.04607432159147972, -0.06044472987293312, 0.051461798492772964, 0.38392073637114305, -0.1666202013032732, -0.3574312915794994, -0.010166750589182766, -0.3032567965807301, -0.07443621884893147, 0.20050701202068588, 0.0709251464309406, 0.08936747405124773, 0.09015716256407819, -0.027618059012485614, -0.06580804431774091, -0.19602035525909597, 0.28066348131875146, 0.11874661135422711, 0.27888943221752005, 0.10597940339789827, -0.0018510986580559522, -0.003104931200015368, -0.05501396228826725, -0.005174092745574394, -0.136587541923849, 0.14167697763526904, 0.2894077203905044, 0.02931425093424202, 0.19225711320148836, -0.42162092806457885, -0.1785496775070113, -0.0023709031900778265, 0.11984929973305673, 0.17894569601250426, -0.050409501925627195, -0.32484365205769195, 0.029193547475935503, -0.18885959347359615, -0.09395373051082438, -0.12903214085588952, 0.04140464634874301, 0.02840519552626232, -0.24746323115017155, 0.1368437993823145, -0.026280517782093865, 0.04778616450321261, -0.11489242332581763, -0.23939351227116024, 0.019583064481837324, 0.12458514688665619, 0.021638126947022607, 0.057970327025482264, 0.09680130065298907, -0.061667000595941254, -0.13709539361240453, 0.37929728922277395, -0.05570293125687259, -0.123566985170652, 0.17391997400791118, -0.14400676762371664, -0.1676692110071383, 0.09257582312283835, 0.08531448761050792, 0.13148579275780725, -0.10975182777395158, 0.0798262464427758, -0.03125532926751835, 0.11359876884138304, 0.0382656478092517, 0.1006599543879839, 0.17975871288909182, 0.10436745927125068, -0.07518521071835836, 0.06496924810378932, -0.11806662998733913, -0.15158290176544026, -0.29114709500370933, -0.10311137827555303, -0.1382921594880881, 0.010748401505522209, 0.011368023471804198, -0.1153177337555012, 0.426312784175619, 0.12069040334940252, 0.1875155246101947, -0.03742451831066778, 0.2737337351029757, 0.09782767698795784, -0.002574877963299946, 0.05485749702859154, 0.36868410866412493, 0.19941143384940996, 0.06313494633477514, -0.2833677783221154, 0.04593036412077006, 0.014151830537392213] |
707.2231 | EAS Longitudinal Development and the Knee | It is shown that Extensive Air Shower (EAS) longitudinal development has a
critical point where an equilibrium between the main hadronic component and the
secondary electromagnetic one exhibits a brake. This results in a change of
slope in quasi-power law function $N_{e}(Eo)$. The latter leads to a knee in
the EAS size spectrum at primary energy of about 100 TeV/nucleon. Many
``strange'' experimental results can be successfully explained in the frames of
current approach.
| astro-ph | it is shown that extensive air shower eas longitudinal development has a critical point where an equilibrium between the main hadronic component and the secondary electromagnetic one exhibits a brake this results in a change of slope in quasipower law function n_eeo the latter leads to a knee in the eas size spectrum at primary energy of about 100 tevnucleon many strange experimental results can be successfully explained in the frames of current approach | [['it', 'is', 'shown', 'that', 'extensive', 'air', 'shower', 'eas', 'longitudinal', 'development', 'has', 'a', 'critical', 'point', 'where', 'an', 'equilibrium', 'between', 'the', 'main', 'hadronic', 'component', 'and', 'the', 'secondary', 'electromagnetic', 'one', 'exhibits', 'a', 'brake', 'this', 'results', 'in', 'a', 'change', 'of', 'slope', 'in', 'quasipower', 'law', 'function', 'n_eeo', 'the', 'latter', 'leads', 'to', 'a', 'knee', 'in', 'the', 'eas', 'size', 'spectrum', 'at', 'primary', 'energy', 'of', 'about', '100', 'tevnucleon', 'many', 'strange', 'experimental', 'results', 'can', 'be', 'successfully', 'explained', 'in', 'the', 'frames', 'of', 'current', 'approach']] | [-0.09986154176773222, 0.18145313675771307, -0.17539467695424307, 0.0721231395289404, -0.0022345071671249933, -0.06244932946889368, -0.03770687506846726, 0.3712824919860657, -0.23675912566329926, -0.3498119105112879, 0.023082925127946758, -0.29981189802901387, -0.0908744812636853, 0.18173508101768077, -0.033809705114323796, 0.0405435819969806, 0.0812544894264373, 0.04689390998977964, -0.03287481621532918, -0.14790871648168932, 0.2569825300174982, 0.1178240772362237, 0.28555458784103394, 0.1231426195726309, 0.056714978732474865, -0.029316172925500223, -0.001062324870224685, 0.004925678592583496, -0.064766730727769, 0.05539865574914299, 0.2532538450386834, 0.1110323331612226, 0.23170006618362993, -0.35423689137838066, -0.20500948360470467, 0.11808630406269677, 0.14822945821941, 0.03752300279750807, -0.053862816832755525, -0.2144076422348057, 0.13766725933855425, -0.18823327940620788, -0.18095776040668357, 0.032047690549380566, -0.027435891722147162, 0.02680578084075696, -0.2580999336269212, 0.06050253437500294, 0.05398613316555546, 0.07175985583397623, -0.06529662659876559, -0.14580843883426223, -0.00662869227131548, 0.1294477136505844, 0.14267626158854835, 0.08076546362231243, 0.1653392200345454, -0.12321480724973323, -0.10188105574821772, 0.3739961568164091, -0.0457707013909335, -0.10865616793297742, 0.16912594045295495, -0.17631228833318982, -0.11838746909052134, 0.20364890914818604, 0.1434875078027277, 0.0657899199801773, -0.16183550726009965, 0.033526847150961374, -0.015364658178391624, 0.19371703093790144, 0.048428538523308216, -0.04603733812548118, 0.24724166637465153, 0.2153539632252507, 0.08611128098978853, 0.1257109617422118, -0.07682231277839778, -0.0660347926034911, -0.2972884558345357, -0.12862237905190416, -0.18438731968938693, 0.07281876111096919, -0.08143116749483416, -0.15511082199662093, 0.4508688155918905, 0.11398504495954424, 0.20087638416978187, -0.01468676198529054, 0.32455103760202453, 0.10407101621927872, 0.04991702346947707, 0.08471606273127541, 0.29444049347880974, 0.09929882997506592, 0.15596304311455317, -0.23404004200910256, 0.06458247757886779, -0.004339421856893252] |
707.2232 | Backward scattering of low-energy antiprotons by highly charged and
neutral uranium: Coulomb glory | Collisions of antiprotons with He-, Ne-, Ni-like, bare, and neutral uranium
are studied theoretically for scattering angles close to 180$^{\circ}$ and
antiproton energies with the interval 100 eV -- 10 keV. We investigate the
Coulomb glory effect which is caused by a screening of the Coulomb potential of
the nucleus and results in a prominent maximum of the differential cross
section in the backward direction at some energies of the incident particle. We
found that for larger numbers of electrons in the ion the effect becomes more
pronounced and shifts to higher energies of the antiproton. On the other hand,
a maximum of the differential cross section in the backward direction can also
be found in the scattering of antiprotons on a bare uranium nucleus. The latter
case can be regarded as a manifestation of the screening property of the
vacuum-polarization potential in non-relativistic collisions of heavy
particles.
| physics.atom-ph | collisions of antiprotons with he ne nilike bare and neutral uranium are studied theoretically for scattering angles close to 180circ and antiproton energies with the interval 100 ev 10 kev we investigate the coulomb glory effect which is caused by a screening of the coulomb potential of the nucleus and results in a prominent maximum of the differential cross section in the backward direction at some energies of the incident particle we found that for larger numbers of electrons in the ion the effect becomes more pronounced and shifts to higher energies of the antiproton on the other hand a maximum of the differential cross section in the backward direction can also be found in the scattering of antiprotons on a bare uranium nucleus the latter case can be regarded as a manifestation of the screening property of the vacuumpolarization potential in nonrelativistic collisions of heavy particles | [['collisions', 'of', 'antiprotons', 'with', 'he', 'ne', 'nilike', 'bare', 'and', 'neutral', 'uranium', 'are', 'studied', 'theoretically', 'for', 'scattering', 'angles', 'close', 'to', '180circ', 'and', 'antiproton', 'energies', 'with', 'the', 'interval', '100', 'ev', '10', 'kev', 'we', 'investigate', 'the', 'coulomb', 'glory', 'effect', 'which', 'is', 'caused', 'by', 'a', 'screening', 'of', 'the', 'coulomb', 'potential', 'of', 'the', 'nucleus', 'and', 'results', 'in', 'a', 'prominent', 'maximum', 'of', 'the', 'differential', 'cross', 'section', 'in', 'the', 'backward', 'direction', 'at', 'some', 'energies', 'of', 'the', 'incident', 'particle', 'we', 'found', 'that', 'for', 'larger', 'numbers', 'of', 'electrons', 'in', 'the', 'ion', 'the', 'effect', 'becomes', 'more', 'pronounced', 'and', 'shifts', 'to', 'higher', 'energies', 'of', 'the', 'antiproton', 'on', 'the', 'other', 'hand', 'a', 'maximum', 'of', 'the', 'differential', 'cross', 'section', 'in', 'the', 'backward', 'direction', 'can', 'also', 'be', 'found', 'in', 'the', 'scattering', 'of', 'antiprotons', 'on', 'a', 'bare', 'uranium', 'nucleus', 'the', 'latter', 'case', 'can', 'be', 'regarded', 'as', 'a', 'manifestation', 'of', 'the', 'screening', 'property', 'of', 'the', 'vacuumpolarization', 'potential', 'in', 'nonrelativistic', 'collisions', 'of', 'heavy', 'particles']] | [-0.09085301397491855, 0.2214451319107241, -0.06432037757785648, 0.13179584039885195, 0.020791259701965617, -0.10055843534480248, 0.012244340399799703, 0.3656406009531751, -0.23997546680157586, -0.3000835117434158, -0.04736357986084407, -0.3695536096814741, 0.01730486481976347, 0.16812326783887713, 0.058912644004385895, 0.003621714398721043, 0.05615264484278706, 0.061700580378702914, -0.04582880197732779, -0.1684476728186797, 0.29597926614045794, 0.11860926724260762, 0.2128929404596197, 0.19198034817939325, 0.04063040655435753, 0.05800841641960805, 0.039602559218246514, 0.028670989404603536, -0.0804122410650578, 0.09496230892179737, 0.2299100857934452, -0.012622946428632376, 0.18784915093890056, -0.4096052446814419, -0.14317218987445415, 0.10267177703125137, 0.15099698399687755, 0.12546564220707407, -0.08936623540648725, -0.25697422963186944, 0.04774684709857921, -0.18525967712761188, -0.17433771909829102, 0.039274368257749645, 0.0530776052520338, 0.0477533208675125, -0.2480965727547399, 0.09264107841541389, 0.01385900604088797, 0.04029838054925584, -0.0582878238673569, -0.18745598600556454, -0.0568350469915285, -0.00033545343927582913, 0.11047216956376979, 0.006659579342928062, 0.1770138223465456, -0.12880844459235416, -0.09840635863864529, 0.4297025436345412, -0.049529873678891535, -0.12478136728663429, 0.13782031468882347, -0.21205969928640264, -0.0695139813065833, 0.21559671168754094, 0.17326535727372583, 0.14716764493547632, -0.13447535114020717, 0.05997145510291313, -0.013333859151786788, 0.13744781780834045, 0.13399509120998637, 0.02542889960978155, 0.17629511022408093, 0.1480371574966275, 0.05890608879857931, 0.0884235446286098, -0.17933208716805188, -0.06257097267539424, -0.31385485583371453, -0.14770257585764338, -0.0925841041061343, 0.03897775578483635, -0.04513696892793626, -0.10729073499310382, 0.34792162736974414, 0.08840747664624755, 0.24795407959937948, -0.058058959266430614, 0.28625881014277743, 0.1546741618646537, 0.07050255818773998, 0.024326592319499272, 0.33589363644049236, 0.16919742000200563, 0.1339683141686073, -0.24911764563618824, 0.0614991049681391, 0.03864665807788672] |
707.2233 | Nondecoupling of Heavy Fermions and a Special Yukawa Texture | Talk based on work entitled ``Yukawa textures, new physics and
nondecoupling,'' done in collaboration with G. C. Branco and J. I.
Silva-Marcos, arXiv:hep-ph/0612252, to appear in Phys. Rev. D. In this work we
pointed out that New Physics can play an important r\^ ole in rescuing some of
the Yukawa texture zero ans\" atze which would otherwise be eliminated by the
recent, more precise measurements of $V_{CKM}$. We have shown that the presence
of an isosinglet vector-like quark which mixes with standard quarks, can render
viable a particularly interesting four texture zero Yukawa ansatz. The crucial
point is the nondecoupling of the effects of the isosinglet quark, even for
arbitrary large values of its mass.
| hep-ph | talk based on work entitled yukawa textures new physics and nondecoupling done in collaboration with g c branco and j i silvamarcos arxivhepph0612252 to appear in phys rev d in this work we pointed out that new physics can play an important r ole in rescuing some of the yukawa texture zero ans atze which would otherwise be eliminated by the recent more precise measurements of v_ckm we have shown that the presence of an isosinglet vectorlike quark which mixes with standard quarks can render viable a particularly interesting four texture zero yukawa ansatz the crucial point is the nondecoupling of the effects of the isosinglet quark even for arbitrary large values of its mass | [['talk', 'based', 'on', 'work', 'entitled', 'yukawa', 'textures', 'new', 'physics', 'and', 'nondecoupling', 'done', 'in', 'collaboration', 'with', 'g', 'c', 'branco', 'and', 'j', 'i', 'silvamarcos', 'arxivhepph0612252', 'to', 'appear', 'in', 'phys', 'rev', 'd', 'in', 'this', 'work', 'we', 'pointed', 'out', 'that', 'new', 'physics', 'can', 'play', 'an', 'important', 'r', 'ole', 'in', 'rescuing', 'some', 'of', 'the', 'yukawa', 'texture', 'zero', 'ans', 'atze', 'which', 'would', 'otherwise', 'be', 'eliminated', 'by', 'the', 'recent', 'more', 'precise', 'measurements', 'of', 'v_ckm', 'we', 'have', 'shown', 'that', 'the', 'presence', 'of', 'an', 'isosinglet', 'vectorlike', 'quark', 'which', 'mixes', 'with', 'standard', 'quarks', 'can', 'render', 'viable', 'a', 'particularly', 'interesting', 'four', 'texture', 'zero', 'yukawa', 'ansatz', 'the', 'crucial', 'point', 'is', 'the', 'nondecoupling', 'of', 'the', 'effects', 'of', 'the', 'isosinglet', 'quark', 'even', 'for', 'arbitrary', 'large', 'values', 'of', 'its', 'mass']] | [-0.12520754789043817, 0.22912387639917142, -0.06766665128400616, 0.047570524570931284, -0.09377669868367125, -0.2098409331935857, 0.04091096439931009, 0.28715968599343406, -0.1722720809754849, -0.3087929928608771, 0.01745660020969808, -0.24694071999900707, -0.13528760319292946, 0.11832630976901523, -0.04168903040200738, 0.030860845371665033, 0.044085270450783094, -0.007667857288782086, -0.07644963186092875, -0.27913601364707574, 0.2949292936994295, 0.04261645456011008, 0.1910569158428968, 0.12903511352279956, 0.020777064606331157, 0.004928201121012015, -0.058296477523981594, -0.03763749094546905, -0.10341044218161446, 0.06891504502190011, 0.20319177283584264, 0.0533250532295954, 0.1719542084236829, -0.3757579153087655, -0.15213810893224686, 0.1400017425767146, 0.1489040839785178, 0.1070715319178167, -0.07055777562410574, -0.32146012684929054, 0.0954433039691399, -0.22066439790484896, -0.16112605098585067, -0.13744157304920787, 0.04337712007483268, -0.09364748236423891, -0.3348990845640531, 0.07188510844051572, 0.04511803901238766, 0.0312754311765145, 0.06559514402241413, -0.22847026252254313, -0.04504268312094999, 0.05458283481961449, 0.12848800604738894, 0.06703252629709563, 0.1001698063836167, -0.16646349185612053, -0.10051939924596809, 0.403183178227794, -0.10208996818567227, -0.17605851480870374, 0.187200214816195, -0.13665925085661002, -0.17028592128605982, 0.07107890393152567, 0.1670549406886234, 0.11529001270537265, -0.18887643299448037, 0.18146613301671874, -0.09085891007894784, 0.12769013198937632, 0.08024484760660146, 0.033426165098457465, 0.2853777170281059, 0.15201583640841168, 0.010900623944637897, 0.026222462091287264, -0.0567330884950934, -0.07862874093864645, -0.364923624675222, -0.12878536730048445, -0.14404399359981263, 0.077803751429071, -0.044641520449399, -0.12875722969926887, 0.40377392270602286, 0.18733419179833227, 0.22557727954699658, -0.0770699506787683, 0.20662386906458, 0.04705147077973899, 0.1112041714503513, 0.055619577700521665, 0.2737325726830022, 0.14063453014075225, 0.11605532387121846, -0.19749247910138884, -0.008848576583529524, 0.0674158130152916] |
707.2234 | State-dependent diffusion: thermodynamic consistency and its path
integral formulation | The friction coefficient of a particle can depend on its position as it does
when the particle is near a wall. We formulate the dynamics of particles with
such state-dependent friction coefficients in terms of a general Langevin
equation with multiplicative noise, whose evaluation requires the introduction
of specific rules. Two common conventions, the Ito and the Stratonovich,
provide alternative rules for evaluation of the noise, but other conventions
are possible. We show the requirement that a particle's distribution function
approach the Boltzmann distribution at long times dictates that a drift term
must be added to the Langevin equation. This drift term is proportional to the
derivative of the diffusion coefficient times a factor that depends on the
convention used to define the multiplicative noise. We explore the consequences
of this result in a number examples with spatially varying diffusion
coefficients. We also derive path integral representations for arbitrary
interpretation of the noise, and use it in a perturbative study of correlations
in a simple system.
| cond-mat.soft cond-mat.stat-mech | the friction coefficient of a particle can depend on its position as it does when the particle is near a wall we formulate the dynamics of particles with such statedependent friction coefficients in terms of a general langevin equation with multiplicative noise whose evaluation requires the introduction of specific rules two common conventions the ito and the stratonovich provide alternative rules for evaluation of the noise but other conventions are possible we show the requirement that a particles distribution function approach the boltzmann distribution at long times dictates that a drift term must be added to the langevin equation this drift term is proportional to the derivative of the diffusion coefficient times a factor that depends on the convention used to define the multiplicative noise we explore the consequences of this result in a number examples with spatially varying diffusion coefficients we also derive path integral representations for arbitrary interpretation of the noise and use it in a perturbative study of correlations in a simple system | [['the', 'friction', 'coefficient', 'of', 'a', 'particle', 'can', 'depend', 'on', 'its', 'position', 'as', 'it', 'does', 'when', 'the', 'particle', 'is', 'near', 'a', 'wall', 'we', 'formulate', 'the', 'dynamics', 'of', 'particles', 'with', 'such', 'statedependent', 'friction', 'coefficients', 'in', 'terms', 'of', 'a', 'general', 'langevin', 'equation', 'with', 'multiplicative', 'noise', 'whose', 'evaluation', 'requires', 'the', 'introduction', 'of', 'specific', 'rules', 'two', 'common', 'conventions', 'the', 'ito', 'and', 'the', 'stratonovich', 'provide', 'alternative', 'rules', 'for', 'evaluation', 'of', 'the', 'noise', 'but', 'other', 'conventions', 'are', 'possible', 'we', 'show', 'the', 'requirement', 'that', 'a', 'particles', 'distribution', 'function', 'approach', 'the', 'boltzmann', 'distribution', 'at', 'long', 'times', 'dictates', 'that', 'a', 'drift', 'term', 'must', 'be', 'added', 'to', 'the', 'langevin', 'equation', 'this', 'drift', 'term', 'is', 'proportional', 'to', 'the', 'derivative', 'of', 'the', 'diffusion', 'coefficient', 'times', 'a', 'factor', 'that', 'depends', 'on', 'the', 'convention', 'used', 'to', 'define', 'the', 'multiplicative', 'noise', 'we', 'explore', 'the', 'consequences', 'of', 'this', 'result', 'in', 'a', 'number', 'examples', 'with', 'spatially', 'varying', 'diffusion', 'coefficients', 'we', 'also', 'derive', 'path', 'integral', 'representations', 'for', 'arbitrary', 'interpretation', 'of', 'the', 'noise', 'and', 'use', 'it', 'in', 'a', 'perturbative', 'study', 'of', 'correlations', 'in', 'a', 'simple', 'system']] | [-0.13193073605765107, 0.12200536807797041, -0.11970617523604825, 0.053018525697246015, -0.09741613083709795, -0.1252821483435418, 0.02693575650175854, 0.34537628775529833, -0.29833918437221457, -0.26539102536682263, 0.07950332950722112, -0.2573052960846304, -0.17022528594460742, 0.15552949093854482, -0.06484216164674116, 0.01949564730769573, 0.04287909513272076, 0.07235465220933786, -0.0528249727573992, -0.2225414839101933, 0.3102087270852784, 0.05686363762424114, 0.2342076329808929, 0.04682417994881251, 0.19523357622415186, 0.005698509278695986, -0.0594645005921519, 0.008495975914130727, -0.14384157155532248, 0.06569072278216481, 0.1609182578598497, 0.025809139330276704, 0.2657769655862105, -0.42083679559270304, -0.21402145528896566, 0.0976098235977073, 0.1082826934794121, 0.11272529688248613, 0.007751905767482717, -0.22794803475444936, 0.022471432321626378, -0.1713375965784113, -0.15755987798525806, -0.06421928439872811, 0.04480030169396336, 0.06490673910102707, -0.3135388799303447, 0.12078383056981999, 0.07900453026473792, 0.004090482582259609, -0.04973261920487682, -0.1195757143292015, 0.051361216616491415, 0.10530026718158506, 0.06121927010616377, 0.003926176281859088, 0.1593838066496628, -0.15938561449826033, -0.09959913955171065, 0.3866630216375981, -0.12134668418817805, -0.31897675073340936, 0.1672334305280034, -0.13902265752219672, -0.09169207193120102, 0.11625272214345146, 0.1390393869558641, 0.10288611347562666, -0.19198048369952334, 0.07433368694542133, -0.007748796206236963, 0.15577826159164668, 0.06435145642285807, 0.037482614721191194, 0.15307765349547459, 0.14071637292600137, 0.060384209518158156, 0.12887672473450684, -0.0650395805953093, -0.1331960352404879, -0.3464103745386364, -0.1714076218083052, -0.17207283906621793, 0.08230927234223809, -0.1361957462986648, -0.18790401712323662, 0.3605175153296216, 0.16727555643198017, 0.19396671653109468, 0.07256280706567039, 0.27160453709285615, 0.20904217292316235, 0.057487977955824165, 0.04898153398051319, 0.17834148422502127, 0.1156227321445336, 0.10702287414705897, -0.23963684975225702, 0.09054323757931321, 0.05673957073146545] |
707.2235 | Dynamics of bacterial flow: Emergence of spatiotemporal coherent
structures | We propose a simple model of self-propelled particles to show that coherent
structures, such as jets and swirls, can arise from a plausible microscopic
mechanisms: (i) the elongated shape of the self-propelled particles with (ii)
the hardcore interactions among them. We demonstrate via computer simulation
that these coherent structures, which emerge at sufficiently high densities of
particles, have characteristics that are similar to those observed in recent
experiments in bacteria baths.
| cond-mat.soft | we propose a simple model of selfpropelled particles to show that coherent structures such as jets and swirls can arise from a plausible microscopic mechanisms i the elongated shape of the selfpropelled particles with ii the hardcore interactions among them we demonstrate via computer simulation that these coherent structures which emerge at sufficiently high densities of particles have characteristics that are similar to those observed in recent experiments in bacteria baths | [['we', 'propose', 'a', 'simple', 'model', 'of', 'selfpropelled', 'particles', 'to', 'show', 'that', 'coherent', 'structures', 'such', 'as', 'jets', 'and', 'swirls', 'can', 'arise', 'from', 'a', 'plausible', 'microscopic', 'mechanisms', 'i', 'the', 'elongated', 'shape', 'of', 'the', 'selfpropelled', 'particles', 'with', 'ii', 'the', 'hardcore', 'interactions', 'among', 'them', 'we', 'demonstrate', 'via', 'computer', 'simulation', 'that', 'these', 'coherent', 'structures', 'which', 'emerge', 'at', 'sufficiently', 'high', 'densities', 'of', 'particles', 'have', 'characteristics', 'that', 'are', 'similar', 'to', 'those', 'observed', 'in', 'recent', 'experiments', 'in', 'bacteria', 'baths']] | [-0.10972479136634461, 0.2397367121179549, -0.09723404113901779, 0.08389020726924211, -0.03570374791366114, -0.15547564717560586, -0.03506070001601753, 0.43583002093602236, -0.26130327523331826, -0.3316895419495626, -0.021726802388258592, -0.3004223288391048, -0.187381697884223, 0.15326499120122425, 0.007341752320685437, 0.00212425683480753, 0.07392574144481406, -0.04110453290943528, 0.03272360953843405, -0.17111844712422347, 0.2674913854259525, 0.018665812817782585, 0.24497887673197496, 0.021112403609383275, 0.15283104453996663, -0.057921138060816994, 0.049231213878210583, 0.06650887799619788, -0.13702181841951425, 0.08962994760138468, 0.22652004930702313, 0.042541863652549576, 0.17719091434408024, -0.5181568751872425, -0.25295896050323485, 0.1064368580586054, 0.1862322714279773, 0.16033321659533228, -0.1021210371785548, -0.27828977863028853, 0.07173593403955161, -0.16861418963895297, -0.13125509322738985, -0.08255474982638909, 0.019747305635205457, 0.12885674936565714, -0.2228368731136893, 0.1061571948459818, 0.06211271638732771, 0.046236234959739615, -0.05507844512705022, -0.07872179050890493, -0.02350969041343516, 0.09700461775457984, 0.049477095497627806, -0.07045275210993181, 0.21338847436299416, -0.18216890315721992, -0.16032982692384803, 0.4070374847350406, -0.01741231085968689, -0.18412247936333148, 0.34701551905583955, -0.15326578485530237, -0.13362315209241402, 0.15568866777483006, 0.20148737497732672, 0.09683087003633747, -0.12753520757419018, -0.010968774203768551, -0.10164204824873259, 0.09881935258802603, 0.0036594078476002937, 0.04069884947146958, 0.2848362138521084, 0.15716073139977288, -0.014582664532009775, 0.14189448303372507, -0.10366407179799994, -0.11730751194532069, -0.26756372738262296, -0.09741196248181899, -0.15787435601085004, 0.01844971543702651, -0.07092417032161931, -0.12341494123700639, 0.3342282338408937, 0.15675805984589625, 0.25496788422616434, 0.03382629165130759, 0.2698489541948681, 0.013785950929700384, 0.07952188575823962, 0.06979209749178934, 0.25253645156208476, 0.07153554891668995, 0.06957410925238484, -0.19964554967214418, 0.03458351458744212, -0.0067043785451793335] |
707.2236 | Probability Bracket Notation: Probability Space, Conditional Expectation
and Introductory Martingales | In this paper, we continue to explore the consistence and usability of
Probability Bracket Notation (PBN) proposed in our previous articles. After a
brief review of PBN with dimensional analysis, we investigate probability
spaces in terms of PBN by introducing probability spaces associated with random
variables (R.V) or associated with stochastic processes (S.P). Next, we express
several important properties of conditional expectation (CE) and some their
proofs in PBN. Then, we introduce martingales based on sequence of R.V or based
on filtration in PBN. In the process, we see PBN can be used to investigate
some probability problems, which otherwise might need explicit usage of Measure
theory. Whenever applicable, we use dimensional analysis to validate our
formulas and use graphs for visualization of concepts in PBN. We hope this
study shows that PBN, stimulated by and adapted from Dirac notation in Quantum
Mechanics (QM), may have the potential to be a useful tool in probability
modeling, at least for those who are already familiar with Dirac notation in
QM.
| math.PR math-ph math.MP | in this paper we continue to explore the consistence and usability of probability bracket notation pbn proposed in our previous articles after a brief review of pbn with dimensional analysis we investigate probability spaces in terms of pbn by introducing probability spaces associated with random variables rv or associated with stochastic processes sp next we express several important properties of conditional expectation ce and some their proofs in pbn then we introduce martingales based on sequence of rv or based on filtration in pbn in the process we see pbn can be used to investigate some probability problems which otherwise might need explicit usage of measure theory whenever applicable we use dimensional analysis to validate our formulas and use graphs for visualization of concepts in pbn we hope this study shows that pbn stimulated by and adapted from dirac notation in quantum mechanics qm may have the potential to be a useful tool in probability modeling at least for those who are already familiar with dirac notation in qm | [['in', 'this', 'paper', 'we', 'continue', 'to', 'explore', 'the', 'consistence', 'and', 'usability', 'of', 'probability', 'bracket', 'notation', 'pbn', 'proposed', 'in', 'our', 'previous', 'articles', 'after', 'a', 'brief', 'review', 'of', 'pbn', 'with', 'dimensional', 'analysis', 'we', 'investigate', 'probability', 'spaces', 'in', 'terms', 'of', 'pbn', 'by', 'introducing', 'probability', 'spaces', 'associated', 'with', 'random', 'variables', 'rv', 'or', 'associated', 'with', 'stochastic', 'processes', 'sp', 'next', 'we', 'express', 'several', 'important', 'properties', 'of', 'conditional', 'expectation', 'ce', 'and', 'some', 'their', 'proofs', 'in', 'pbn', 'then', 'we', 'introduce', 'martingales', 'based', 'on', 'sequence', 'of', 'rv', 'or', 'based', 'on', 'filtration', 'in', 'pbn', 'in', 'the', 'process', 'we', 'see', 'pbn', 'can', 'be', 'used', 'to', 'investigate', 'some', 'probability', 'problems', 'which', 'otherwise', 'might', 'need', 'explicit', 'usage', 'of', 'measure', 'theory', 'whenever', 'applicable', 'we', 'use', 'dimensional', 'analysis', 'to', 'validate', 'our', 'formulas', 'and', 'use', 'graphs', 'for', 'visualization', 'of', 'concepts', 'in', 'pbn', 'we', 'hope', 'this', 'study', 'shows', 'that', 'pbn', 'stimulated', 'by', 'and', 'adapted', 'from', 'dirac', 'notation', 'in', 'quantum', 'mechanics', 'qm', 'may', 'have', 'the', 'potential', 'to', 'be', 'a', 'useful', 'tool', 'in', 'probability', 'modeling', 'at', 'least', 'for', 'those', 'who', 'are', 'already', 'familiar', 'with', 'dirac', 'notation', 'in', 'qm']] | [-0.03526042816856016, 0.08982341201457927, -0.10729076168858089, 0.10191917293000914, -0.09703684244690651, -0.12453547800125102, 0.079639287821166, 0.40071483233050836, -0.24892797155275434, -0.29044947086574413, 0.05553267849471486, -0.2595181237277988, -0.23051078794193428, 0.1744896110998654, -0.14484729942651783, 0.05736267529827537, 0.058461457432368934, 0.04595172127361613, -0.0855911862581814, -0.22898304811127748, 0.3422699823111748, 0.04059894839453252, 0.22511314288244622, 0.005639913767443959, 0.04400902084962151, 0.04831276129181745, -0.08919724660853927, 0.03017690789351273, -0.15763732621098556, 0.15834439196210554, 0.28542346905740584, 0.1650243109446787, 0.29212292148208124, -0.4377468437309096, -0.20094703531344615, 0.08319257357923766, 0.12983324550441466, 0.07398956447644105, -0.04998336158301571, -0.3182665447266387, 0.06527013315670413, -0.16780934674794834, -0.129155269930051, -0.13099375893995607, -0.012602795173066872, 0.037522417417391256, -0.22669775210411877, 0.02901422455576221, 0.05744362096185107, 0.06785570618148187, -0.019790976828366474, -0.1282178558073056, 0.03486238478975007, 0.07047651362324343, 0.02993725230018388, -0.0026423660256436987, 0.06687005608722832, -0.07751534753949202, -0.19463149068833013, 0.3606087182036783, -0.05980687391167209, -0.2267695905960347, 0.1793794040568173, -0.152082468732949, -0.21318158787846037, 0.05469908070414377, 0.1640198158111269, 0.10313169695657386, -0.14261556841906975, 0.10497768274949279, 0.018498574805131854, 0.10411304188065627, 0.07094841148186276, 0.051260057330467686, 0.18257788598768898, 0.12487718084077598, 0.001765564184624856, 0.1255577679588487, -0.025148953705855244, -0.1380704181129664, -0.30403392839096705, -0.24477719695213632, -0.15112979117279443, 0.07563293380345928, -0.07777438464832145, -0.14594254162184586, 0.3714601235304403, 0.2497166382746782, 0.1772196209554136, 0.08508477764570611, 0.2490201303845591, 0.14220175626908138, 0.006720611443102481, 0.04252650334841445, 0.14024766475773698, 0.1398929497461281, 0.11555519553463488, -0.09787555291322914, 0.0735393981118659, 0.09794417914201523] |
707.2237 | Spectropolarimetry of the Type Ib/c SN 2005bf | We present spectropolarimetric observations of the peculiar Type Ib/c SN
2005bf, in MCG+00-27-005, from 3600-8550\AA. The SN was observed on 2005 April
30.9, 18 days after the first B-band light-curve maximum and 6 days before the
second B-band light-curve maximum. The degree of the Interstellar Polarization,
determined from depolarized emission lines in the spectrum, is found to be
large with $p_{max}(ISP)=1.6%$ and $\theta(ISP)=149$\fdg$7\pm4.0$, but this may
be an upper limit on the real value of the ISP. After ISP subtraction,
significant polarization is observed over large wavelength regions, indicating
a significant degree of global asymmetry, $\gtrsim 10%$. Polarizations of 3.5%
and 4% are observed for absorption components of Ca II H&K and IR triplet, and
1.3% for He I 5876\AA and Fe II. On the $Q-U$ plane clear velocity-dependent
loop structure is observed for the He I 5876\AA line, suggestive of departures
from an axial symmetry and possible clumping of the SN ejecta. Weak High
Velocity components of $\mathrm{H\alpha}$, $\mathrm{H\beta}$ and
$\mathrm{H\gamma}$ are observed, with velocities of -15 000\kms. The low degree
of polarization observed at H$\beta$ suggests that the polarization observed
for the other Balmer lines ($\sim 0.4%$ above the background polarization) may
rather be due to blending of $\mathrm{H\alpha}$ and $\mathrm{H\gamma}$ with
polarized Si II and Fe II lines, respectively. We suggest a model in which a
jet of material, that is rich in $\mathrm{^{56}Ni}$, has penetrated the C-O
core, but not the He mantle. The jet axis is tilted with respect to the axis of
the photosphere. This accounts for the lack of significant polarization of O I
7774\AA, the delayed excitation and, hence, observability of He I and,
potentially, the varied geometries of He and Ca.
| astro-ph | we present spectropolarimetric observations of the peculiar type ibc sn 2005bf in mcg0027005 from 36008550aa the sn was observed on 2005 april 309 18 days after the first bband lightcurve maximum and 6 days before the second bband lightcurve maximum the degree of the interstellar polarization determined from depolarized emission lines in the spectrum is found to be large with p_maxisp16 and thetaisp149fdg7pm40 but this may be an upper limit on the real value of the isp after isp subtraction significant polarization is observed over large wavelength regions indicating a significant degree of global asymmetry gtrsim 10 polarizations of 35 and 4 are observed for absorption components of ca ii hk and ir triplet and 13 for he i 5876aa and fe ii on the qu plane clear velocitydependent loop structure is observed for the he i 5876aa line suggestive of departures from an axial symmetry and possible clumping of the sn ejecta weak high velocity components of mathrmhalpha mathrmhbeta and mathrmhgamma are observed with velocities of 15 000kms the low degree of polarization observed at hbeta suggests that the polarization observed for the other balmer lines sim 04 above the background polarization may rather be due to blending of mathrmhalpha and mathrmhgamma with polarized si ii and fe ii lines respectively we suggest a model in which a jet of material that is rich in mathrm56ni has penetrated the co core but not the he mantle the jet axis is tilted with respect to the axis of the photosphere this accounts for the lack of significant polarization of o i 7774aa the delayed excitation and hence observability of he i and potentially the varied geometries of he and ca | [['we', 'present', 'spectropolarimetric', 'observations', 'of', 'the', 'peculiar', 'type', 'ibc', 'sn', '2005bf', 'in', 'mcg0027005', 'from', '36008550aa', 'the', 'sn', 'was', 'observed', 'on', '2005', 'april', '309', '18', 'days', 'after', 'the', 'first', 'bband', 'lightcurve', 'maximum', 'and', '6', 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707.2238 | A design oriented study for 3R Orthogonal Manipulators With Geometric
Simplifications | This paper proposes a method to calculate the largest Regular Dextrous
Workspace (RDW) of some types of three-revolute orthogonal manipulators that
have at least one of their DH parameters equal to zero. Then a new performance
index based on the RDW is introduced, the isocontours of this index are plotted
in the parameter space of the interesting types of manipulators and finally an
inspection of the domains of the parameter spaces is conducted in order to
identify the better manipulator architectures. The RDW is a part of the
workspace whose shape is regular (cube, cylinder) and the performances
(conditioning index) are bounded inside. The groups of 3R orthogonal
manipulators studied have interesting kinematic properties such as, a
well-connected workspace that is fully reachable with four inverse kinematic
solutions and that does not contain any void. This study is of high interest
for the design of alternative manipulator geometries.
| cs.RO | this paper proposes a method to calculate the largest regular dextrous workspace rdw of some types of threerevolute orthogonal manipulators that have at least one of their dh parameters equal to zero then a new performance index based on the rdw is introduced the isocontours of this index are plotted in the parameter space of the interesting types of manipulators and finally an inspection of the domains of the parameter spaces is conducted in order to identify the better manipulator architectures the rdw is a part of the workspace whose shape is regular cube cylinder and the performances conditioning index are bounded inside the groups of 3r orthogonal manipulators studied have interesting kinematic properties such as a wellconnected workspace that is fully reachable with four inverse kinematic solutions and that does not contain any void this study is of high interest for the design of alternative manipulator geometries | [['this', 'paper', 'proposes', 'a', 'method', 'to', 'calculate', 'the', 'largest', 'regular', 'dextrous', 'workspace', 'rdw', 'of', 'some', 'types', 'of', 'threerevolute', 'orthogonal', 'manipulators', 'that', 'have', 'at', 'least', 'one', 'of', 'their', 'dh', 'parameters', 'equal', 'to', 'zero', 'then', 'a', 'new', 'performance', 'index', 'based', 'on', 'the', 'rdw', 'is', 'introduced', 'the', 'isocontours', 'of', 'this', 'index', 'are', 'plotted', 'in', 'the', 'parameter', 'space', 'of', 'the', 'interesting', 'types', 'of', 'manipulators', 'and', 'finally', 'an', 'inspection', 'of', 'the', 'domains', 'of', 'the', 'parameter', 'spaces', 'is', 'conducted', 'in', 'order', 'to', 'identify', 'the', 'better', 'manipulator', 'architectures', 'the', 'rdw', 'is', 'a', 'part', 'of', 'the', 'workspace', 'whose', 'shape', 'is', 'regular', 'cube', 'cylinder', 'and', 'the', 'performances', 'conditioning', 'index', 'are', 'bounded', 'inside', 'the', 'groups', 'of', '3r', 'orthogonal', 'manipulators', 'studied', 'have', 'interesting', 'kinematic', 'properties', 'such', 'as', 'a', 'wellconnected', 'workspace', 'that', 'is', 'fully', 'reachable', 'with', 'four', 'inverse', 'kinematic', 'solutions', 'and', 'that', 'does', 'not', 'contain', 'any', 'void', 'this', 'study', 'is', 'of', 'high', 'interest', 'for', 'the', 'design', 'of', 'alternative', 'manipulator', 'geometries']] | [-0.1562338614792286, 0.05730020674977945, -0.09308141616890458, -0.005644885389719511, -0.128555170446005, -0.12511414317162456, -0.010005643183831125, 0.39267282812176524, -0.22333799822985925, -0.29474212728264565, 0.13173241196420496, -0.2398112798864777, -0.14378299808909967, 0.17370907139077127, -0.08582762446776787, 0.06667514145344801, 0.035202554370452825, 0.05945742270292563, -0.06585252372905095, -0.23581750551238656, 0.3208506729821926, 3.559821964921178e-05, 0.2630172051848038, -0.014829252509878495, 0.11198667023013145, -0.015244574405605326, -0.005325354405244611, 0.05764944306114607, -0.1607429047320742, 0.13819408706842443, 0.23463807849691729, 0.11275786700158229, 0.22593622359547866, -0.33960718196514694, -0.1457745665558488, 0.1332852929323987, 0.16032155314963814, 0.0030762163790043545, 0.018359407526912872, -0.2419817647582071, 0.12471649729067812, -0.14822973851492074, -0.16327348165882663, -0.04156185220297728, 0.043728488296069006, 0.036838628248645096, -0.2418582572167538, 0.008824852240158597, 0.050657533837570434, 0.08251400980343288, -0.047098250967620346, -0.13001958055522395, -0.027131809385782864, 0.1674127675017902, 0.02308741307855156, -0.025073667464312166, 0.10954734837837718, -0.10698646088791508, -0.13716059253626578, 0.3984509564848063, 0.051755668425923086, -0.2586819429604991, 0.1899223592701821, -0.14053045022553085, -0.11091165442170726, 0.12609502947197068, 0.18653225509537938, 0.1356305143531613, -0.1273495319387498, 0.09607800760666677, -0.060459643165027166, 0.15981042241941937, 0.09004692814306582, 0.0014095960744983844, 0.15368558148062172, 0.16519384343189666, 0.10618900487551818, 0.16155931768573922, -0.08682657438770842, -0.0565639550564024, -0.300689551504203, -0.17180777949948065, -0.1610555119876989, -0.03131473133475378, -0.13197922950732047, -0.21453898273112654, 0.4073069291661267, 0.10292800563203511, 0.2074455624081295, 0.03163610189851072, 0.31007309935867433, 0.05683546770612609, 0.0787472350804475, 0.06367519813765948, 0.24721571045862417, 0.08049528792538252, 0.05453963450949035, -0.1906745938955479, 0.06529586874514919, 0.05591501987323313] |
707.2239 | Saddle-point van Hove singularity and the phase diagram of high-Tc
cuprates | We examine the generic phase behavior of high-Tc cuprate superconductors in
terms a universal van Hove singularity in the strongly overdoped region. Using
a rigid ARPES-derived dispersion we solve the BCS gap equation and show that
the pairing interaction or pairing energy cutoff must be a rapidly declining
function of doping. This result is prejudicial to a phonon-based pairing
interaction and more consistent with a magnetic or magnetically enhanced
interaction.
| cond-mat.supr-con | we examine the generic phase behavior of hightc cuprate superconductors in terms a universal van hove singularity in the strongly overdoped region using a rigid arpesderived dispersion we solve the bcs gap equation and show that the pairing interaction or pairing energy cutoff must be a rapidly declining function of doping this result is prejudicial to a phononbased pairing interaction and more consistent with a magnetic or magnetically enhanced interaction | [['we', 'examine', 'the', 'generic', 'phase', 'behavior', 'of', 'hightc', 'cuprate', 'superconductors', 'in', 'terms', 'a', 'universal', 'van', 'hove', 'singularity', 'in', 'the', 'strongly', 'overdoped', 'region', 'using', 'a', 'rigid', 'arpesderived', 'dispersion', 'we', 'solve', 'the', 'bcs', 'gap', 'equation', 'and', 'show', 'that', 'the', 'pairing', 'interaction', 'or', 'pairing', 'energy', 'cutoff', 'must', 'be', 'a', 'rapidly', 'declining', 'function', 'of', 'doping', 'this', 'result', 'is', 'prejudicial', 'to', 'a', 'phononbased', 'pairing', 'interaction', 'and', 'more', 'consistent', 'with', 'a', 'magnetic', 'or', 'magnetically', 'enhanced', 'interaction']] | [-0.23205360598097155, 0.19069873580343222, -0.09879805663201426, 0.12938551461058004, -0.08253296850515264, -0.20590920359827578, 0.08803515955805778, 0.3353809024207294, -0.25345411002635954, -0.21942018331693752, -0.06219632833464337, -0.33720934577286243, -0.1358330219252301, 0.14006864144466818, -0.002231030712053845, -0.029158324354128646, -0.042434060839670044, -0.029009224181728705, -0.1600914447135957, -0.21141536895717894, 0.39713259035987514, 0.005671596801507153, 0.29738863618778333, 0.10957088827521407, -0.025621562943394696, 0.023860358223984284, 0.17394546501870667, 0.05384683891066483, -0.16815241383374085, 0.04894392441159912, 0.309395455036013, -0.11070197810019766, 0.22533113919198514, -0.37197179475000924, -0.25007703110043494, 0.029943924956023694, 0.19394178152350441, 0.1339365049198802, -0.05891960001588034, -0.2736837711584355, 0.01840144366558109, -0.2471531430525439, -0.15997669916999127, -0.07187788567638823, -0.03200593125075102, 0.00024140212751392806, -0.23969407971017062, 0.1282822787096458, 0.06477422600811614, 0.06769741194854889, -0.11567764103944812, -0.05519529207210456, -0.032569414230861835, -0.027430132031440735, 0.06652857887092978, 0.1167171114456973, 0.12744875487738422, -0.16761822002341173, -0.0006472645127879722, 0.30917065968470914, -0.029358306221131766, -0.06413572795156922, 0.1590739476494491, -0.1495731529380594, -0.033714417082124526, 0.13031716676695007, 0.05845680318307132, 0.062326195104313746, -0.12415427882224321, 0.09788970621635339, -0.008649551855134113, 0.20518677391644036, 0.036054538802376815, 0.05630550623339202, 0.25344202779233455, 0.19877227784267493, 0.053048593890188, 0.10035598368350683, -0.07653768480855173, -0.061233891433637055, -0.25231294608009713, -0.14032010331284256, -0.19677131820436833, 0.048303902914215414, -0.057905736904441646, -0.23119074634409376, 0.3744046371962343, 0.1110768064590437, 0.2364447442714923, -0.05217446220506515, 0.21223075017000415, 0.15371553586529835, 0.0745336002528867, 0.07927245481738023, 0.26821792321279647, 0.12099482964923872, 0.0958554845303297, -0.3190032020809927, 0.06802515941006797, 0.060580894630402324] |
707.224 | The Eruption from a Sigmoidal Solar Active Region on 2005 May 13 | This paper presents a multiwavelength study of the M8.0 flare and its
associated fast halo CME that originated from a bipolar active region NOAA
10759 on 2005 May 13. The source active region has a conspicuous sigmoid
structure at TRACE 171 A channel as well as in the SXI soft X-ray images, and
we mainly concern ourselves with the detailed process of the sigmoid eruption
as evidenced by the multiwavelength data ranging from Halpha, WL, EUV/UV,
radio, and hard X-rays (HXRs). The most important finding is that the flare
brightening starts in the core of the active region earlier than that of the
rising motion of the flux rope. This timing clearly addresses one of the main
issues in the magnetic eruption onset of sigmoid, namely, whether the eruption
is initiated by an internal tether-cutting to allow the flux rope to rise
upward or a flux rope rises due to a loss of equilibrium to later induce tether
cutting below it. Our high time cadence SXI and Halpha data shows that the
first scenario is relevant to this eruption. As other major findings, we have
the RHESSI HXR images showing a change of the HXR source from a confined
footpoint structure to an elongated ribbon-like structure after the flare
maximum, which we relate to the sigmoid-to-arcade evolution. Radio dynamic
spectrum shows a type II precursor that occurred at the time of expansion of
the sigmoid and a drifting pulsating structure in the flare rising phase in
HXR. Finally type II and III bursts are seen at the time of maximum HXR
emission, simultaneous with the maximum reconnection rate derived from the
flare ribbon motion in UV. We interpret these various observed properties with
the runaway tether-cutting model proposed by Moore et al. in 2001.
| astro-ph | this paper presents a multiwavelength study of the m80 flare and its associated fast halo cme that originated from a bipolar active region noaa 10759 on 2005 may 13 the source active region has a conspicuous sigmoid structure at trace 171 a channel as well as in the sxi soft xray images and we mainly concern ourselves with the detailed process of the sigmoid eruption as evidenced by the multiwavelength data ranging from halpha wl euvuv radio and hard xrays hxrs the most important finding is that the flare brightening starts in the core of the active region earlier than that of the rising motion of the flux rope this timing clearly addresses one of the main issues in the magnetic eruption onset of sigmoid namely whether the eruption is initiated by an internal tethercutting to allow the flux rope to rise upward or a flux rope rises due to a loss of equilibrium to later induce tether cutting below it our high time cadence sxi and halpha data shows that the first scenario is relevant to this eruption as other major findings we have the rhessi hxr images showing a change of the hxr source from a confined footpoint structure to an elongated ribbonlike structure after the flare maximum which we relate to the sigmoidtoarcade evolution radio dynamic spectrum shows a type ii precursor that occurred at the time of expansion of the sigmoid and a drifting pulsating structure in the flare rising phase in hxr finally type ii and iii bursts are seen at the time of maximum hxr emission simultaneous with the maximum reconnection rate derived from the flare ribbon motion in uv we interpret these various observed properties with the runaway tethercutting model proposed by moore et al in 2001 | [['this', 'paper', 'presents', 'a', 'multiwavelength', 'study', 'of', 'the', 'm80', 'flare', 'and', 'its', 'associated', 'fast', 'halo', 'cme', 'that', 'originated', 'from', 'a', 'bipolar', 'active', 'region', 'noaa', '10759', 'on', '2005', 'may', '13', 'the', 'source', 'active', 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707.2241 | Etude Des Solutions Meromorphes D'Equations Differentielles | In this paper we shall study differential equations in the complex domain.
The method of indeterminate coefficients and the majorant method lead to a
proof of the existence and uniqueness of meromorphic solution of differential
equations. We discuss their connection with the concept of algebraic
integrability systems.
| math.CA math-ph math.MP | in this paper we shall study differential equations in the complex domain the method of indeterminate coefficients and the majorant method lead to a proof of the existence and uniqueness of meromorphic solution of differential equations we discuss their connection with the concept of algebraic integrability systems | [['in', 'this', 'paper', 'we', 'shall', 'study', 'differential', 'equations', 'in', 'the', 'complex', 'domain', 'the', 'method', 'of', 'indeterminate', 'coefficients', 'and', 'the', 'majorant', 'method', 'lead', 'to', 'a', 'proof', 'of', 'the', 'existence', 'and', 'uniqueness', 'of', 'meromorphic', 'solution', 'of', 'differential', 'equations', 'we', 'discuss', 'their', 'connection', 'with', 'the', 'concept', 'of', 'algebraic', 'integrability', 'systems']] | [-0.20298185675068103, -0.05629892783001699, -0.13910999008394936, 0.05380549791833743, -0.13632533612086417, -0.08367294936064393, 0.004026560719679803, 0.2824992666298405, -0.33531682042682426, -0.2337760033601142, 0.14336419360652725, -0.2608804968086646, -0.22275023738744648, 0.1584692324729676, -0.0985720789931873, 0.08225959110658299, 0.056926879021240044, 0.0177755409732778, -0.12925750203430653, -0.23237056772601097, 0.43812968815736314, -0.07057445175311666, 0.1878939189333865, 0.0827663919313791, 0.18633357704953946, -0.02192293150112667, -0.06901388674815918, -0.02138524753180273, -0.19961562782446754, 0.17156480741191735, 0.26552038283107127, 0.10136362414886342, 0.27066766290350797, -0.4199135276944713, -0.09399342318957156, 0.12873343719625252, 0.133789537603313, 0.09664820007821347, -0.043441622381772294, -0.26379226405728373, 0.09654578186096029, -0.1294990052330367, -0.27794895979001166, -0.09906347221050887, -0.004498503507768854, 0.08866732123188992, -0.2243599998665617, 0.09247324817833748, 0.1335862159253435, 0.08289946231277699, -0.14351857541515392, -0.05586908618731305, 0.023578461319049622, 0.009552521086198853, 0.07943068911380907, -0.025756736994384133, 0.0288363599634551, -0.10677902971671775, -0.10687259334991588, 0.3219635111299601, -0.0764358870764362, -0.2990783007538065, 0.1604888920295746, -0.16567422877600851, -0.13697207336650885, 0.0829760491689469, 0.2076303339662387, 0.1982048146446493, -0.16376886378101846, 0.14554317715389536, -0.06513214462060243, 0.09812944106995425, 0.08848555152245025, 0.03350240951205822, 0.10253295199351108, 0.12945985371999919, 0.08787722674574941, 0.12631542285151304, 0.03208555349525302, -0.12557379879612238, -0.3751105712924866, -0.22385298496885028, -0.08519138164937179, 0.09129411061393454, -0.09713860670478638, -0.20244928594044548, 0.4280552131698487, 0.16244119760441653, 0.15126614316188275, 0.07535316860006053, 0.22664655640007966, 0.20421499105051477, -0.026011387668946322, -0.02387111915394347, 0.18161826663987435, 0.2576825786332421, 0.173232438102206, -0.2334059642508943, 0.0162518032866114, 0.17894879922746343] |
707.2242 | Carrier Statistics and Quantum Capacitance of Graphene Sheets and
Ribbons | In this work, fundamental results for carrier statistics in graphene
2-dimensional sheets and nanoscale ribbons are derived. Though the behavior of
intrinsic carrier densities in 2d graphene sheets is found to differ
drastically from traditional semiconductors, very narrow (sub-10 nm) ribbons
are found to be similar to traditional narrow-gap semiconductors. The quantum
capacitance, an important parameter in the electrostatic design of devices, is
derived for both 2d graphene sheets and nanoribbons.
| cond-mat.mtrl-sci | in this work fundamental results for carrier statistics in graphene 2dimensional sheets and nanoscale ribbons are derived though the behavior of intrinsic carrier densities in 2d graphene sheets is found to differ drastically from traditional semiconductors very narrow sub10 nm ribbons are found to be similar to traditional narrowgap semiconductors the quantum capacitance an important parameter in the electrostatic design of devices is derived for both 2d graphene sheets and nanoribbons | [['in', 'this', 'work', 'fundamental', 'results', 'for', 'carrier', 'statistics', 'in', 'graphene', '2dimensional', 'sheets', 'and', 'nanoscale', 'ribbons', 'are', 'derived', 'though', 'the', 'behavior', 'of', 'intrinsic', 'carrier', 'densities', 'in', '2d', 'graphene', 'sheets', 'is', 'found', 'to', 'differ', 'drastically', 'from', 'traditional', 'semiconductors', 'very', 'narrow', 'sub10', 'nm', 'ribbons', 'are', 'found', 'to', 'be', 'similar', 'to', 'traditional', 'narrowgap', 'semiconductors', 'the', 'quantum', 'capacitance', 'an', 'important', 'parameter', 'in', 'the', 'electrostatic', 'design', 'of', 'devices', 'is', 'derived', 'for', 'both', '2d', 'graphene', 'sheets', 'and', 'nanoribbons']] | [-0.13716430681377229, 0.14721969550030312, 0.022499570675509076, 0.02148257409596265, 0.01713048580141974, -0.21723324509048966, 0.004761801320980762, 0.48769863403703967, -0.25347424888143866, -0.3018729005559859, -0.03838559316838501, -0.28025148386581683, -0.18012805117792646, 0.2691093363707334, -0.052886705058561245, 0.07234623707161927, 0.02875983057228822, -0.16536795501400467, -0.0729882626099066, -0.1759117359269253, 0.2062840199517742, 0.039158334248063066, 0.41034851679709594, 0.09165857530290812, -0.04177305323373474, -0.057290529884712796, 0.11894041302443391, 0.07958005813547266, -0.1902855930089111, 0.11998982812789544, 0.3137502282674254, -0.21354084258282582, 0.20036331212646524, -0.5257246347905045, -0.23439597978558338, -0.09043558742627616, 0.18862554264372924, 0.14742289785899118, -0.05577648884262627, -0.26575623659915487, 0.1329953831187646, -0.07310932239478218, -0.060942674655603365, -0.00464106027141843, 0.020762500235102545, 0.024370620404304544, -0.17933194701310615, 0.09652941918630205, 0.04595356166992389, 0.017558568485186134, -0.09944609613883355, -0.18653807159460767, -0.06567064340187001, 0.09331206553025355, 0.046094338494864565, -0.030306128489876717, 0.26749896271232987, -0.18088508135403739, -0.11472000887381359, 0.42612524015802733, 0.0001389568435474181, -0.1285993109234202, 0.18033981959755258, -0.17902365831238493, -0.029836986600880473, 0.18060468385179698, 0.07285093685323504, 0.07486033398972851, -0.16405234891186718, 0.09500055186758737, -0.005200855932395223, 0.15455110472115413, 0.08521526196355027, 0.13039357713620428, 0.27609916878733, 0.19911309608510813, 0.0458458674887956, 0.09183009943603472, -0.09901060221690527, -0.0025583642311918903, -0.12427877524579076, -0.22814752701932275, -0.24756352467016435, 0.1045176827965278, -0.06592493100234464, -0.2698339116825184, 0.4187672199340354, 0.1723144548407323, 0.15423689183490483, -0.039477747091105284, 0.24000809478744026, 0.1469854112488257, 0.10473400336021269, -0.02142126051525415, 0.2540523119297036, 0.16681829544807403, 0.13922952147017062, -0.13525631058056065, 0.02526644839655975, -0.023695641662925482] |
707.2243 | Dissipative Dynamics of Matter Wave Soliton in Nonlinear Optical Lattice | Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein
condensates (BEC), with low-dimensional (1D) conservative plus dissipative
nonlinear optical lattices are investigated. In the case of focusing media
(with attractive atomic systems) the collapse of the wave packet is arrested by
the dissipative periodic nonlinearity. The adiabatic variation of the
background scattering length leads to metastable matter-wave solitons.
When the atom feeding mechanism is used, a dissipative soliton can exist in
focusing 2D media with 1D periodic nonlinearity. In the defocusing media
(repulsive BEC case) with harmonic trap in one dimension and one dimensional
nonlinear optical lattice in other direction, the stable soliton can exist.
This prediction of variational approach is confirmed by the full numerical
simulation of 2D Gross-Pitaevskii equation.
| cond-mat.other | dynamics and stability of solitons in twodimensional 2d boseeinstein condensates bec with lowdimensional 1d conservative plus dissipative nonlinear optical lattices are investigated in the case of focusing media with attractive atomic systems the collapse of the wave packet is arrested by the dissipative periodic nonlinearity the adiabatic variation of the background scattering length leads to metastable matterwave solitons when the atom feeding mechanism is used a dissipative soliton can exist in focusing 2d media with 1d periodic nonlinearity in the defocusing media repulsive bec case with harmonic trap in one dimension and one dimensional nonlinear optical lattice in other direction the stable soliton can exist this prediction of variational approach is confirmed by the full numerical simulation of 2d grosspitaevskii equation | [['dynamics', 'and', 'stability', 'of', 'solitons', 'in', 'twodimensional', '2d', 'boseeinstein', 'condensates', 'bec', 'with', 'lowdimensional', '1d', 'conservative', 'plus', 'dissipative', 'nonlinear', 'optical', 'lattices', 'are', 'investigated', 'in', 'the', 'case', 'of', 'focusing', 'media', 'with', 'attractive', 'atomic', 'systems', 'the', 'collapse', 'of', 'the', 'wave', 'packet', 'is', 'arrested', 'by', 'the', 'dissipative', 'periodic', 'nonlinearity', 'the', 'adiabatic', 'variation', 'of', 'the', 'background', 'scattering', 'length', 'leads', 'to', 'metastable', 'matterwave', 'solitons', 'when', 'the', 'atom', 'feeding', 'mechanism', 'is', 'used', 'a', 'dissipative', 'soliton', 'can', 'exist', 'in', 'focusing', '2d', 'media', 'with', '1d', 'periodic', 'nonlinearity', 'in', 'the', 'defocusing', 'media', 'repulsive', 'bec', 'case', 'with', 'harmonic', 'trap', 'in', 'one', 'dimension', 'and', 'one', 'dimensional', 'nonlinear', 'optical', 'lattice', 'in', 'other', 'direction', 'the', 'stable', 'soliton', 'can', 'exist', 'this', 'prediction', 'of', 'variational', 'approach', 'is', 'confirmed', 'by', 'the', 'full', 'numerical', 'simulation', 'of', '2d', 'grosspitaevskii', 'equation']] | [-0.18724884951779666, 0.17072683849856873, -0.022879066909778832, 0.041682348107488075, -0.034503513789343195, -0.21666161723681227, -0.05979796759457104, 0.3799107108295949, -0.24758712046063883, -0.1521050456087759, 0.057531786770829235, -0.2950391434440928, -0.13633256168528038, 0.18605929583095568, 0.09098278744577253, 0.1382328123931796, 0.04375064269108467, -0.024759813804518093, -0.019226911416169532, -0.2558444514562768, 0.36269182271578093, -0.03418427864320515, 0.2901642146743526, 0.02322572926136334, 0.05521640021061479, 0.01660192533096006, 0.062387481716669295, -0.02568451354033814, -0.1696423248037665, 0.06876241447681114, 0.1890763263987793, -0.07523003656009197, 0.25184425683923006, -0.4925832960693058, -0.3260656561132921, 0.08273887062783945, 0.20721002264440921, 0.24991692852783054, -0.06481412785081578, -0.3510780415366873, -0.05654310766792248, -0.11235360133900377, -0.21309627545612655, -0.07904340306196884, 0.03742321000880877, 0.11357126107116129, -0.23484038663181392, 0.16912562818139454, 0.09917916112756434, 0.024082561292924173, -0.10779401031130355, 0.03905644490622169, -0.06320747462282157, -0.009140193898929283, -0.026008403219267232, -0.011468219210986386, 0.08899749853948424, -0.15602794507681247, -0.07696350479367658, 0.4662965585031231, -0.13722267091439744, -0.21292170141015418, 0.21276071155443788, -0.11822020077369799, 0.02161199306638157, 0.19275339531966232, 0.19555346234817028, 0.05991373271181071, -0.07646950456173802, 0.06643342013059045, -0.0679122144509105, 0.19949240519949965, 0.1444067706061481, 0.05286753427791448, 0.22437539798292247, 0.25383179578045, 0.04400792364646827, 0.1733960248380784, -0.07065386899885498, -0.17073523016138512, -0.22009090349185934, -0.09659936306574805, -0.2017577743496407, 0.04801864214354552, -0.08374173676355526, -0.17229483244278707, 0.36190467431548645, 0.08444490786285855, 0.11319311519253476, -0.06874464311317564, 0.2942249821960803, 0.1668837081240721, 0.0031031962822784076, 0.026740364932401246, 0.2967726269175014, 0.14568455838733008, 0.13982123124205376, -0.2738332137482795, -0.10684077232144773, 0.10582026943741443] |
707.2244 | Enhancement of Carrier Mobility in Semiconductor Nanostructures by
Dielectric Engineering | We propose a technique for achieving large improvements in carrier mobilities
in 2- and 1-dimensional semiconductor nanostructures by modifying their
dielectric environments. We show that by coating the nanostructures with
high-$\kappa$ dielectrics, scattering from Coulombic impurities can be strongly
damped. Though screening is also weakened, the damping of Coulombic scattering
is much larger, and the resulting improvement in mobilities of carriers can be
as much as an order of magnitude for thin 2D semiconductor membranes, and more
for semiconductor nanowires.
| cond-mat.mtrl-sci | we propose a technique for achieving large improvements in carrier mobilities in 2 and 1dimensional semiconductor nanostructures by modifying their dielectric environments we show that by coating the nanostructures with highkappa dielectrics scattering from coulombic impurities can be strongly damped though screening is also weakened the damping of coulombic scattering is much larger and the resulting improvement in mobilities of carriers can be as much as an order of magnitude for thin 2d semiconductor membranes and more for semiconductor nanowires | [['we', 'propose', 'a', 'technique', 'for', 'achieving', 'large', 'improvements', 'in', 'carrier', 'mobilities', 'in', '2', 'and', '1dimensional', 'semiconductor', 'nanostructures', 'by', 'modifying', 'their', 'dielectric', 'environments', 'we', 'show', 'that', 'by', 'coating', 'the', 'nanostructures', 'with', 'highkappa', 'dielectrics', 'scattering', 'from', 'coulombic', 'impurities', 'can', 'be', 'strongly', 'damped', 'though', 'screening', 'is', 'also', 'weakened', 'the', 'damping', 'of', 'coulombic', 'scattering', 'is', 'much', 'larger', 'and', 'the', 'resulting', 'improvement', 'in', 'mobilities', 'of', 'carriers', 'can', 'be', 'as', 'much', 'as', 'an', 'order', 'of', 'magnitude', 'for', 'thin', '2d', 'semiconductor', 'membranes', 'and', 'more', 'for', 'semiconductor', 'nanowires']] | [-0.07953660407365533, 0.21951042820746808, 0.010179537284420804, -0.000538425738341175, 0.01875768259051256, -0.19982767865876666, 0.0007984344381839037, 0.46872661393135784, -0.2241254715481773, -0.3065147207118571, 0.016309171681496083, -0.3145059321075678, -0.14186101441155188, 0.25367737920023503, -0.04144241299945861, 0.032243817253038286, -0.010169248434249312, -0.14671593860257418, -0.09268257038311276, -0.23024621184449642, 0.2520688334829174, 0.055627850105520335, 0.2844540871214122, 0.1491285638185218, -0.002974076144164428, 0.03340787081397138, 0.14285143567249178, 0.06411529772158246, -0.10003606041545936, 0.10994030133297202, 0.2714122257748386, -0.15561777391412762, 0.2180273397359997, -0.4960679079995316, -0.2636967681464739, -0.021110708816559055, 0.2206276615499519, 0.20325037608272395, -0.12690532044889552, -0.27468122171703724, 0.0980041962568066, -0.14560863738879562, -0.06630111485137605, -0.07335912407143041, 0.018445755576249213, 0.016789766016881914, -0.25408028514139, 0.0907893034247536, 0.08762293976033106, 0.017157821595901623, -0.08327636476024054, -0.14480242662830278, -0.014172295099706389, 0.04536542033893056, 0.05032939637894742, 0.0009822225052630528, 0.2377834876613633, -0.1639257081435062, -0.09296041664783843, 0.4093001809902489, -0.11586352219601395, -0.17118414547294378, 0.19160930720099714, -0.16499303198652343, 0.06430549418437295, 0.1901431120117195, 0.16588595680659637, 0.14153097138041631, -0.18479220452718437, 0.0762797657349438, 0.01571132710087113, 0.19218977987766267, 0.10458257516147569, 0.1270632297208067, 0.21293822610750796, 0.2459538979775971, 0.07694037476321683, 0.1223420577160141, -0.07967530277237529, 0.034185525379143655, -0.16338296866742893, -0.2323832883615978, -0.23298483927501365, 0.11131562585942448, -0.12331864743846381, -0.2011518870596774, 0.34147328257095066, 0.1538951804424869, 0.13877166090533138, 0.006899761047679931, 0.2483945382758975, 0.1489236303983489, 0.13253854145004879, 0.0019982890196843075, 0.2643828439991921, 0.12920100120827555, 0.08991452618811309, -0.22531033790437505, 0.081829675094923, -0.02790823818941135] |
707.2245 | Some phenomenological considerations on the nuclear collisions at high
energies | We present some results obtained by applying the chaos theory on the
numerical study of one threedimensional, relativistic, many-body quark system.
The asymptotic freedom property is introduced by employing a harmonic term in
the bi-particle potential. In this context, we used also the outcome of a
semiclassical study, applied to the quark constituents of nucleons. Depending
on the initial temperature parameter, the system can evolve toward an
oscillating or an expansion regime. It is important to notice also a transition
region, characterized by a partial fragmentation (higher degree of order). This
effect can be observed near the critical temperature and is related to the
partial overcoming of the potential barrier (corresponding to the farthest
particles from the system). The degree of fragmentation is defined on the
Shannon entropy basis and using the graphs theory. For analyzing the expansion
tendency of one relativistic many-body system, we employed also the virial
coefficient.
| hep-ph | we present some results obtained by applying the chaos theory on the numerical study of one threedimensional relativistic manybody quark system the asymptotic freedom property is introduced by employing a harmonic term in the biparticle potential in this context we used also the outcome of a semiclassical study applied to the quark constituents of nucleons depending on the initial temperature parameter the system can evolve toward an oscillating or an expansion regime it is important to notice also a transition region characterized by a partial fragmentation higher degree of order this effect can be observed near the critical temperature and is related to the partial overcoming of the potential barrier corresponding to the farthest particles from the system the degree of fragmentation is defined on the shannon entropy basis and using the graphs theory for analyzing the expansion tendency of one relativistic manybody system we employed also the virial coefficient | [['we', 'present', 'some', 'results', 'obtained', 'by', 'applying', 'the', 'chaos', 'theory', 'on', 'the', 'numerical', 'study', 'of', 'one', 'threedimensional', 'relativistic', 'manybody', 'quark', 'system', 'the', 'asymptotic', 'freedom', 'property', 'is', 'introduced', 'by', 'employing', 'a', 'harmonic', 'term', 'in', 'the', 'biparticle', 'potential', 'in', 'this', 'context', 'we', 'used', 'also', 'the', 'outcome', 'of', 'a', 'semiclassical', 'study', 'applied', 'to', 'the', 'quark', 'constituents', 'of', 'nucleons', 'depending', 'on', 'the', 'initial', 'temperature', 'parameter', 'the', 'system', 'can', 'evolve', 'toward', 'an', 'oscillating', 'or', 'an', 'expansion', 'regime', 'it', 'is', 'important', 'to', 'notice', 'also', 'a', 'transition', 'region', 'characterized', 'by', 'a', 'partial', 'fragmentation', 'higher', 'degree', 'of', 'order', 'this', 'effect', 'can', 'be', 'observed', 'near', 'the', 'critical', 'temperature', 'and', 'is', 'related', 'to', 'the', 'partial', 'overcoming', 'of', 'the', 'potential', 'barrier', 'corresponding', 'to', 'the', 'farthest', 'particles', 'from', 'the', 'system', 'the', 'degree', 'of', 'fragmentation', 'is', 'defined', 'on', 'the', 'shannon', 'entropy', 'basis', 'and', 'using', 'the', 'graphs', 'theory', 'for', 'analyzing', 'the', 'expansion', 'tendency', 'of', 'one', 'relativistic', 'manybody', 'system', 'we', 'employed', 'also', 'the', 'virial', 'coefficient']] | [-0.1297641473542899, 0.14755670646923438, -0.1170901621133089, 0.06418621682717154, -0.021360576955291134, -0.07358006366839011, 0.04703042782843113, 0.2904431075106064, -0.2625831066382428, -0.2398935127755006, 0.06374726087941478, -0.2823235541085402, -0.12511113735381513, 0.16472815139063945, 0.009125019986919749, 0.06673958473528425, 0.014853888729121537, 0.07619274865370244, -0.05673160649525622, -0.2208086491562426, 0.37269966474268584, 0.07795829521802565, 0.2202866176981479, 0.09411663928379616, 0.08002127849807342, 0.0029680963450421888, 0.023581154346466064, 0.05690018327285846, -0.14979585361589368, 0.08727027164772153, 0.1781475792087925, 0.04872673261600236, 0.26457044018432496, -0.387008761788408, -0.2211314451228827, 0.07444096918373058, 0.1521426731410126, 0.13668093847110868, -0.03540178316102053, -0.2864669026217113, 0.038038628349701564, -0.19605936311359984, -0.21275074523873627, -0.07715700933088859, -0.001847433050473531, 0.012541643694664041, -0.2728030080348253, 0.10457618581848994, 0.049224858720165986, 0.035088977549845975, -0.04075369912199676, -0.0989574650892367, -0.02896552243890862, 0.10097999564216782, 0.042625328184415896, 0.05176944381169354, 0.13103216647170485, -0.13696673201125426, -0.08501683559656764, 0.38924972736587127, -0.062349154922024655, -0.1828937588321666, 0.17560700743459165, -0.1754841858924677, -0.10264642733459671, 0.1115348722677057, 0.1687317265259723, 0.1303203291655518, -0.15224560824533304, 0.0697894872748293, 0.005926441329841812, 0.1717058146558702, 0.08288771622503797, 0.020878177620470523, 0.2047834857335935, 0.15311050279686847, 0.029536644980932277, 0.1711292654206045, -0.06793222328492751, -0.1395024376300474, -0.29777922798569006, -0.13503937636191646, -0.20223814488078157, 0.0371986966393888, -0.11703562216697416, -0.13941528881220924, 0.40369070512553057, 0.15729637570601576, 0.17972824782288324, -0.013577253078110516, 0.2554750686495875, 0.19166971308800082, 0.04011895891473008, 0.050706292546043794, 0.25591768240653134, 0.16606291360997905, 0.10782067507194976, -0.26034763382592546, 0.05482859243017932, 0.11353075368950764] |
707.2246 | Fibered Correspondence | Base of fibered correspondence is arbitrary correspondence. Fibered
correspondence is interesting when we consider relationship between different
bundles. However composition of fibered correspondences may not always be
defined. Reduced fibered correspondence is defined only between fibers over the
same point of base. Reduced fibered correspondence in bundle is called 2-ary
fibered relation. We considered fibered equivalence and isomorphism theorem in
case of fibered morphisms.
| math.DG math.AT | base of fibered correspondence is arbitrary correspondence fibered correspondence is interesting when we consider relationship between different bundles however composition of fibered correspondences may not always be defined reduced fibered correspondence is defined only between fibers over the same point of base reduced fibered correspondence in bundle is called 2ary fibered relation we considered fibered equivalence and isomorphism theorem in case of fibered morphisms | [['base', 'of', 'fibered', 'correspondence', 'is', 'arbitrary', 'correspondence', 'fibered', 'correspondence', 'is', 'interesting', 'when', 'we', 'consider', 'relationship', 'between', 'different', 'bundles', 'however', 'composition', 'of', 'fibered', 'correspondences', 'may', 'not', 'always', 'be', 'defined', 'reduced', 'fibered', 'correspondence', 'is', 'defined', 'only', 'between', 'fibers', 'over', 'the', 'same', 'point', 'of', 'base', 'reduced', 'fibered', 'correspondence', 'in', 'bundle', 'is', 'called', '2ary', 'fibered', 'relation', 'we', 'considered', 'fibered', 'equivalence', 'and', 'isomorphism', 'theorem', 'in', 'case', 'of', 'fibered', 'morphisms']] | [-0.3153011972026434, 0.0852751055126646, -0.06470446215826087, 0.14846725052484544, -0.13758264554780908, -0.2612693221308291, -0.0031593688763678074, 0.41577197751030326, -0.33816992171341553, -0.2559802319156006, 0.03184611269898596, -0.22089911889634095, -0.2151562459548586, 0.1889601053262595, -0.2627299462619703, -0.06641137317637913, 0.047109439270570874, 0.01739279110915959, -0.16490108858852182, -0.2510642965662555, 0.4727853661752306, -0.09750453066226328, 0.34045509944553487, 0.12411091017565923, 0.16936079485458322, 0.004870358054176904, -0.04245320477639325, -0.0047183915885398164, -0.12035102072695736, 0.13208276117075002, 0.4394046395900659, 0.0592654042338836, 0.028584443134604953, -0.38261368636449333, -0.10553002993401606, 0.24113213948294288, 0.12546459408622468, -0.11207819072296843, 0.051915546848249505, -0.2057240527610702, 0.04897791439361754, -0.1679516028962098, -0.11446144175715744, -0.005182819651963655, 0.058144482056377456, 0.029892934928284376, -0.14165569833130576, -0.09458120015915483, 0.11054406305629527, 0.17058555746916682, -0.016199712743400596, 0.07826401104102843, -0.11215741414343938, 0.13179753155282015, 0.021343948172216187, 0.08766677408129908, 0.07844971634767717, -0.09023215222987346, -0.0682788580597844, 0.3267965273116715, -0.10677262076205807, -0.27318735228618607, 0.11998540513741318, -0.09238326658669394, -0.16964787617325783, 0.18317676467631827, -0.0011278096280875616, 0.16574958715500543, 0.037215446939399044, 0.1610740274327327, -0.1994143514893949, 0.11613040691963761, 0.21044099755818024, -0.06192083770292811, 0.21396288791584084, 0.10743183696104097, 0.08092728241172154, 0.14429595041110588, 0.04467672028840752, -0.1421932606244809, -0.36665630247443914, -0.18877214935491793, -0.10544235543056857, 0.1829666714368159, -0.0854684446455849, -0.11070232782003586, 0.312534854572732, 0.0010200177948718192, 0.21590118668973446, 0.10935929112019949, 0.23414375193533488, 0.013053705257334514, 0.08029690348485019, -0.010012223254307173, 0.22211504291044548, 0.2603440770180896, -0.12365289338231378, -0.012737590459437342, -0.07485779633861966, 0.2336509808228584] |
707.2247 | Generic initial ideals, graded Betti numbers and $k$-Lefschetz
properties | We introduce the $k$-strong Lefschetz property ($k$-SLP) and the $k$-weak
Lefschetz property ($k$-WLP) for graded Artinian $K$-algebras, which are
generalizations of the Lefschetz properties. The main results obtained in this
paper are as follows:
1. Let $I$ be a graded ideal of $R=K[x_1, x_2, x_3]$ whose quotient ring
$R/I$ has the SLP. Then the generic initial ideal of $I$ is the unique almost
revlex ideal with the same Hilbert function as $R/I$.
2. Let $I$ be a graded ideal of $R=K[x_1, x_2, ..., x_n]$ whose quotient ring
$R/I$ has the $n$-SLP. Suppose that all $k$-th differences of the Hilbert
function of $R/I$ are quasi-symmetric. Then the generic initial ideal of $I$ is
the unique almost revlex ideal with the same Hilbert function as $R/I$.
3. We give a sharp upper bound on the graded Betti numbers of Artinian
$K$-algebras with the $k$-WLP and a fixed Hilbert function.
| math.AC | we introduce the kstrong lefschetz property kslp and the kweak lefschetz property kwlp for graded artinian kalgebras which are generalizations of the lefschetz properties the main results obtained in this paper are as follows 1 let i be a graded ideal of rkx_1 x_2 x_3 whose quotient ring ri has the slp then the generic initial ideal of i is the unique almost revlex ideal with the same hilbert function as ri 2 let i be a graded ideal of rkx_1 x_2 x_n whose quotient ring ri has the nslp suppose that all kth differences of the hilbert function of ri are quasisymmetric then the generic initial ideal of i is the unique almost revlex ideal with the same hilbert function as ri 3 we give a sharp upper bound on the graded betti numbers of artinian kalgebras with the kwlp and a fixed hilbert function | [['we', 'introduce', 'the', 'kstrong', 'lefschetz', 'property', 'kslp', 'and', 'the', 'kweak', 'lefschetz', 'property', 'kwlp', 'for', 'graded', 'artinian', 'kalgebras', 'which', 'are', 'generalizations', 'of', 'the', 'lefschetz', 'properties', 'the', 'main', 'results', 'obtained', 'in', 'this', 'paper', 'are', 'as', 'follows', '1', 'let', 'i', 'be', 'a', 'graded', 'ideal', 'of', 'rkx_1', 'x_2', 'x_3', 'whose', 'quotient', 'ring', 'ri', 'has', 'the', 'slp', 'then', 'the', 'generic', 'initial', 'ideal', 'of', 'i', 'is', 'the', 'unique', 'almost', 'revlex', 'ideal', 'with', 'the', 'same', 'hilbert', 'function', 'as', 'ri', '2', 'let', 'i', 'be', 'a', 'graded', 'ideal', 'of', 'rkx_1', 'x_2', 'x_n', 'whose', 'quotient', 'ring', 'ri', 'has', 'the', 'nslp', 'suppose', 'that', 'all', 'kth', 'differences', 'of', 'the', 'hilbert', 'function', 'of', 'ri', 'are', 'quasisymmetric', 'then', 'the', 'generic', 'initial', 'ideal', 'of', 'i', 'is', 'the', 'unique', 'almost', 'revlex', 'ideal', 'with', 'the', 'same', 'hilbert', 'function', 'as', 'ri', '3', 'we', 'give', 'a', 'sharp', 'upper', 'bound', 'on', 'the', 'graded', 'betti', 'numbers', 'of', 'artinian', 'kalgebras', 'with', 'the', 'kwlp', 'and', 'a', 'fixed', 'hilbert', 'function']] | [-0.16051150104877623, 0.08463400297218582, -0.11484752764430392, 0.030155024944700404, -0.021248729949999417, -0.20589807718809877, -0.10852576406441394, 0.3387140218051268, -0.4115442567980373, -0.12941206384684656, 0.09716934571531113, -0.2526722287407497, -0.08749766216671967, 0.1368609690595861, -0.13491131943631005, -0.01935913822112175, 0.02218272915546346, 0.09540743291071922, -0.07784560355813717, -0.2917780564736471, 0.40816456511278043, -0.013291550188006221, 0.18276004258777712, 0.003692227226870877, 0.13550877747519946, 0.02162681242216613, 0.00942790978449768, 0.04504528738415012, -0.2154358455155088, 0.08942446553057151, 0.27800129467647494, 0.11467435622223086, 0.241920480836782, -0.34467852328597876, -0.004763081404413064, 0.23261559917754332, 0.16448462888324908, -0.08008431301654115, -0.012786841431105105, -0.19552255115126604, 0.16960388446109487, -0.17814338526450801, -0.19199335662700184, -0.027065615677698093, 0.1181091901461978, 0.09577213851669869, -0.3274042276776285, -0.02525605686608103, 0.11090977721802005, 0.17002297834459842, -0.03213801443205586, -0.144973392284091, -0.09689326028150695, 0.032027888990990766, -0.08789358460311811, 0.0488633481383493, 0.08879973849451, -0.09714523343193521, -0.09361926574500969, 0.37026400564538015, -0.057500850319719084, -0.20845190046185796, 0.08565825979156953, -0.22335685529075303, -0.08970311957157472, 0.10746447064008538, -0.013584288664266362, 0.14541859759369513, 0.008741582839886521, 0.2060902364823928, -0.22119448818852538, 0.05023148936916377, 0.07775308448052802, 0.08621439863146133, 0.13425292537248062, 0.09715653623786423, 0.07344471500458691, 0.13653416450988579, -0.00026943426989539936, 0.06544142863810896, -0.39252737956447203, -0.24535865593787895, -0.1871269446499711, 0.21352774064525493, -0.14084614295544187, -0.17132900198970408, 0.414218664898739, 0.07172614242881536, 0.19192301622474683, 0.09630134746748173, 0.2548718097378741, 0.07478908182470245, 0.03862081003095304, 0.05897157348145347, 0.12055548455019097, 0.20008929700336672, -0.016166410216788104, -0.10187629767257225, 0.016453086111981135, 0.22233172240862428] |
707.2248 | The crystal commutor and Drinfeld's unitarized R-matrix | Drinfeld defined a unitarized R-matrix for any quantum group U_q(g). This
gives a commutor for the category of U_q(g) representations, making it into a
coboundary category. Henriques and Kamnitzer defined another commutor which
also gives U_q(g) representations the structure of a coboundary category. We
show that a particular case of Henriques and Kamnitzer's construction agrees
with Drinfeld's commutor. We then describe the action of Drinfeld's commutor on
a tensor product of two crystal bases, and explain the relation to the crystal
commutor.
| math.QA math.CO | drinfeld defined a unitarized rmatrix for any quantum group u_qg this gives a commutor for the category of u_qg representations making it into a coboundary category henriques and kamnitzer defined another commutor which also gives u_qg representations the structure of a coboundary category we show that a particular case of henriques and kamnitzers construction agrees with drinfelds commutor we then describe the action of drinfelds commutor on a tensor product of two crystal bases and explain the relation to the crystal commutor | [['drinfeld', 'defined', 'a', 'unitarized', 'rmatrix', 'for', 'any', 'quantum', 'group', 'u_qg', 'this', 'gives', 'a', 'commutor', 'for', 'the', 'category', 'of', 'u_qg', 'representations', 'making', 'it', 'into', 'a', 'coboundary', 'category', 'henriques', 'and', 'kamnitzer', 'defined', 'another', 'commutor', 'which', 'also', 'gives', 'u_qg', 'representations', 'the', 'structure', 'of', 'a', 'coboundary', 'category', 'we', 'show', 'that', 'a', 'particular', 'case', 'of', 'henriques', 'and', 'kamnitzers', 'construction', 'agrees', 'with', 'drinfelds', 'commutor', 'we', 'then', 'describe', 'the', 'action', 'of', 'drinfelds', 'commutor', 'on', 'a', 'tensor', 'product', 'of', 'two', 'crystal', 'bases', 'and', 'explain', 'the', 'relation', 'to', 'the', 'crystal', 'commutor']] | [-0.16006027864471145, 0.038016344832324585, -0.13370050162803837, 0.059137936867489596, -0.16122382744101854, -0.1341645145084618, 0.005228221725967781, 0.37797708259668295, -0.35927770261811776, -0.15402926386493007, 0.03416835863097775, -0.1710221839205521, -0.19296976431023058, 0.18958979489554356, -0.15108040561218086, -0.07937615785020881, 0.052843652960912486, 0.14445972476131852, -0.12586550190533716, -0.24096591416008134, 0.4261008758643052, 0.011848565053319694, 0.29229704523459077, 0.0023946589733496674, 0.17215326302344117, 0.02517147663208406, 0.012749162917138963, -0.054722531051261396, -0.17902735988057586, 0.20050763238857433, 0.3000408053602569, 0.02026161256746003, 0.09737748942457185, -0.32203387473596307, -0.0681247056498073, 0.0764341196897099, 0.08946995884634373, 0.08903929579679332, -0.0247178944239461, -0.3321681157884574, 0.057511831423631164, -0.31875739457858043, -0.09366227185819298, -0.09186020407331653, 0.04554995778584626, -0.08361250597120422, -0.2515484344351912, -0.05991091141683084, 0.08172437758752849, 0.06041647090644735, -0.12035476742312312, -0.09991914357013273, -0.07386390703571279, 0.05354483300683702, -0.12468670290417788, 0.07626453415127243, 0.10622237379117529, -0.09363716729155673, -0.18715931710832548, 0.39488271881667214, -0.03931827087909347, -0.1996122253604415, 0.06848733104401972, -0.1475597871921775, -0.19159560750533894, 0.053981279102494804, -0.02246764461401986, 0.09427863123781252, -0.017929198629955376, 0.21676580214705432, -0.17948347675364193, 0.07650739423328692, 0.11097694640104636, -0.03034001049903653, 0.11029273841711806, 0.09854991296476616, -0.03006590135032084, 0.1449228736583325, 0.06337614622955187, -0.052233956879141126, -0.36645866049135606, -0.24371306533767648, -0.07785125570258171, 0.1439208284520158, -0.07875992738156971, -0.21886984455376501, 0.39954645486503115, 0.07712587004913608, 0.19803404220218043, 0.12430799012100778, 0.14316946069891678, 0.03832822488961605, 0.12144297271081042, -0.01048467499090404, 0.13083471414610381, 0.32249598600333784, -0.04304761338479272, -0.12480461417992668, -0.06250478189279575, 0.26975399791830923] |
707.2249 | A Subaru Weak Lensing Survey I: Cluster Candidates and Spectroscopic
Verification | We present the results of an ongoing weak lensing survey conducted with the
Subaru telescope whose initial goal is to locate and study the distribution of
shear-selected structures or halos. Using a Suprime-cam imaging survey spanning
21.82 square degree, we present a catalog of 100 candidate halos located from
lensing convergence maps. Our sample is reliably drawn from that subset of our
survey area, (totaling 16.72 square degree) uncontaminated by bright stars and
edge effects and limited at a convergence signal to noise ratio of 3.69. To
validate the sample detailed spectroscopic measures have been made for 26
candidates using the Subaru multi-object spectrograph, FOCAS. All are confirmed
as clusters of galaxies but two arise as the superposition of multiple clusters
viewed along the line of sight. Including data available in the literature and
an ongoing Keck spectroscopic campaign, a total of 41 halos now have reliable
redshifts. For one of our survey fields, the XMM LSS (Pierre et al. 2004)
field, we compare our lensing-selected halo catalog with its X-ray equivalent.
Of 15 halos detected in the XMM-LSS field, 10 match with published X-ray
selected clusters and a further 2 are newly-detected and spectroscopically
confirmed in this work. Although three halos have not yet been confirmed, the
high success rate within the XMM-LSS field (12/15) confirms that weak lensing
provides a reliable method for constructing cluster catalogs, irrespective of
the nature of the constituent galaxies or the intracluster medium.
| astro-ph | we present the results of an ongoing weak lensing survey conducted with the subaru telescope whose initial goal is to locate and study the distribution of shearselected structures or halos using a suprimecam imaging survey spanning 2182 square degree we present a catalog of 100 candidate halos located from lensing convergence maps our sample is reliably drawn from that subset of our survey area totaling 1672 square degree uncontaminated by bright stars and edge effects and limited at a convergence signal to noise ratio of 369 to validate the sample detailed spectroscopic measures have been made for 26 candidates using the subaru multiobject spectrograph focas all are confirmed as clusters of galaxies but two arise as the superposition of multiple clusters viewed along the line of sight including data available in the literature and an ongoing keck spectroscopic campaign a total of 41 halos now have reliable redshifts for one of our survey fields the xmm lss pierre et al 2004 field we compare our lensingselected halo catalog with its xray equivalent of 15 halos detected in the xmmlss field 10 match with published xray selected clusters and a further 2 are newlydetected and spectroscopically confirmed in this work although three halos have not yet been confirmed the high success rate within the xmmlss field 1215 confirms that weak lensing provides a reliable method for constructing cluster catalogs irrespective of the nature of the constituent galaxies or the intracluster medium | [['we', 'present', 'the', 'results', 'of', 'an', 'ongoing', 'weak', 'lensing', 'survey', 'conducted', 'with', 'the', 'subaru', 'telescope', 'whose', 'initial', 'goal', 'is', 'to', 'locate', 'and', 'study', 'the', 'distribution', 'of', 'shearselected', 'structures', 'or', 'halos', 'using', 'a', 'suprimecam', 'imaging', 'survey', 'spanning', '2182', 'square', 'degree', 'we', 'present', 'a', 'catalog', 'of', '100', 'candidate', 'halos', 'located', 'from', 'lensing', 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707.225 | Two novel approaches for photometric redshift estimation based on SDSS
and 2MASS databases | We investigate two training-set methods: support vector machines (SVMs) and
Kernel Regression (KR) for photometric redshift estimation with the data from
the Sloan Digital Sky Survey Data Release 5 and Two Micron All Sky Survey
databases. We probe the performances of SVMs and KR for different input
patterns. Our experiments show that the more parameters considered, the
accuracy doesn't always increase, and only when appropriate parameters chosen,
the accuracy can improve. Moreover for different approaches, the best input
pattern is different. With different parameters as input, the optimal bandwidth
is dissimilar for KR. The rms errors of photometric redshifts based on SVM and
KR methods are less than 0.03 and 0.02, respectively. Finally the strengths and
weaknesses of the two approaches are summarized. Compared to other methods of
estimating photometric redshifts, they show their superiorities, especially KR,
in terms of accuracy.
| astro-ph | we investigate two trainingset methods support vector machines svms and kernel regression kr for photometric redshift estimation with the data from the sloan digital sky survey data release 5 and two micron all sky survey databases we probe the performances of svms and kr for different input patterns our experiments show that the more parameters considered the accuracy doesnt always increase and only when appropriate parameters chosen the accuracy can improve moreover for different approaches the best input pattern is different with different parameters as input the optimal bandwidth is dissimilar for kr the rms errors of photometric redshifts based on svm and kr methods are less than 003 and 002 respectively finally the strengths and weaknesses of the two approaches are summarized compared to other methods of estimating photometric redshifts they show their superiorities especially kr in terms of accuracy | [['we', 'investigate', 'two', 'trainingset', 'methods', 'support', 'vector', 'machines', 'svms', 'and', 'kernel', 'regression', 'kr', 'for', 'photometric', 'redshift', 'estimation', 'with', 'the', 'data', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'data', 'release', '5', 'and', 'two', 'micron', 'all', 'sky', 'survey', 'databases', 'we', 'probe', 'the', 'performances', 'of', 'svms', 'and', 'kr', 'for', 'different', 'input', 'patterns', 'our', 'experiments', 'show', 'that', 'the', 'more', 'parameters', 'considered', 'the', 'accuracy', 'doesnt', 'always', 'increase', 'and', 'only', 'when', 'appropriate', 'parameters', 'chosen', 'the', 'accuracy', 'can', 'improve', 'moreover', 'for', 'different', 'approaches', 'the', 'best', 'input', 'pattern', 'is', 'different', 'with', 'different', 'parameters', 'as', 'input', 'the', 'optimal', 'bandwidth', 'is', 'dissimilar', 'for', 'kr', 'the', 'rms', 'errors', 'of', 'photometric', 'redshifts', 'based', 'on', 'svm', 'and', 'kr', 'methods', 'are', 'less', 'than', '003', 'and', '002', 'respectively', 'finally', 'the', 'strengths', 'and', 'weaknesses', 'of', 'the', 'two', 'approaches', 'are', 'summarized', 'compared', 'to', 'other', 'methods', 'of', 'estimating', 'photometric', 'redshifts', 'they', 'show', 'their', 'superiorities', 'especially', 'kr', 'in', 'terms', 'of', 'accuracy']] | [-0.030712145409573212, 0.04250642095844374, -0.01106413886783288, 0.08474456768975006, -0.0896463219575082, -0.15343388198405927, 0.05768230864662571, 0.45955582885137686, -0.21451457265511828, -0.351158113701018, 0.09438902141232414, -0.32456583710691184, -0.0611318053301186, 0.24199769450747904, -0.06046859244485749, 0.07967978873098573, 0.10054085048985609, -0.017054074800553473, -0.10216288942443653, -0.3592922400868108, 0.27014094039943093, 0.04563243802742544, 0.3171624068223627, -0.05309389810348656, 0.07954157602392031, -0.04692028564275474, -0.1019021466255505, 0.004400562362890717, -0.13007969795157578, 0.10172419017841312, 0.29543201922577744, 0.18175060134744336, 0.2502550851580099, -0.3223490951275651, -0.20209548109812095, 0.1001130334821576, 0.16989190534668716, 0.08245915018273055, 0.02412944242177805, -0.2734031439065299, 0.11772358999422468, -0.13025984280009537, -0.03859499712158424, -0.07272261590516263, 0.007470662961548842, 0.10161893937657489, -0.2835007123252813, 0.07830197616572762, 0.024269046471619333, 0.12293735173273276, -0.12078142415811406, -0.24393246368280486, -0.03100932367205461, 0.13686384205687427, 0.020317400808954705, 0.044166331863070424, 0.11876062360585582, -0.16882110013236815, -0.09156291982066547, 0.37520079552493196, -0.06721834894461666, -0.15994640700155804, 0.20366682792709917, -0.08384840201639326, -0.10285770479946378, 0.08945035872690327, 0.19276172365887578, 0.0805756795642805, -0.12031752787786784, 0.017764614859070788, 0.049034840268816084, 0.23144012245395823, 0.06557250977824079, 0.061894182204962414, 0.15630590240636194, 0.12384593693361162, 0.018500529876943176, 0.07414671209853817, -0.21990028765310157, -0.006606874703462665, -0.2282195031273027, -0.08419765976871899, -0.16455111405333334, -0.05794226119116424, -0.18984049441656575, -0.10388087974002598, 0.4021608948456586, 0.21886670715604903, 0.2112605548282121, 0.09582464289950564, 0.3620654521576056, 0.04019145270584957, 0.06533544906415045, 0.06755513762923103, 0.2909539463196663, 0.0706568942702514, 0.06819942342249531, -0.16789410825396048, 0.059013071437143384, 0.017428170640272557] |
707.2251 | "Phase Diagram" of the Spin Hall Effect | We obtain analytic formulas for the frequency-dependent spin-Hall
conductivity of a two-dimensional electron gas (2DEG) in the presence of
impurities, linear spin-orbit Rashba interaction, and external magnetic field
perpendicular to the 2DEG. We show how different mechanisms (skew-scattering,
side-jump, and spin precession) can be brought in or out of focus by changing
controllable parameters such as frequency, magnetic field, and temperature. We
find, in particular, that the d.c. spin Hall conductivity vanishes in the
absence of a magnetic field, while a magnetic field restores the
skew-scattering and side-jump contributions proportionally to the ratio of
magnetic and Rashba fields.
| cond-mat.mes-hall cond-mat.mtrl-sci | we obtain analytic formulas for the frequencydependent spinhall conductivity of a twodimensional electron gas 2deg in the presence of impurities linear spinorbit rashba interaction and external magnetic field perpendicular to the 2deg we show how different mechanisms skewscattering sidejump and spin precession can be brought in or out of focus by changing controllable parameters such as frequency magnetic field and temperature we find in particular that the dc spin hall conductivity vanishes in the absence of a magnetic field while a magnetic field restores the skewscattering and sidejump contributions proportionally to the ratio of magnetic and rashba fields | [['we', 'obtain', 'analytic', 'formulas', 'for', 'the', 'frequencydependent', 'spinhall', 'conductivity', 'of', 'a', 'twodimensional', 'electron', 'gas', '2deg', 'in', 'the', 'presence', 'of', 'impurities', 'linear', 'spinorbit', 'rashba', 'interaction', 'and', 'external', 'magnetic', 'field', 'perpendicular', 'to', 'the', '2deg', 'we', 'show', 'how', 'different', 'mechanisms', 'skewscattering', 'sidejump', 'and', 'spin', 'precession', 'can', 'be', 'brought', 'in', 'or', 'out', 'of', 'focus', 'by', 'changing', 'controllable', 'parameters', 'such', 'as', 'frequency', 'magnetic', 'field', 'and', 'temperature', 'we', 'find', 'in', 'particular', 'that', 'the', 'dc', 'spin', 'hall', 'conductivity', 'vanishes', 'in', 'the', 'absence', 'of', 'a', 'magnetic', 'field', 'while', 'a', 'magnetic', 'field', 'restores', 'the', 'skewscattering', 'and', 'sidejump', 'contributions', 'proportionally', 'to', 'the', 'ratio', 'of', 'magnetic', 'and', 'rashba', 'fields']] | [-0.25311160690153534, 0.22859037007746877, 0.027564496063266178, 0.02415896153400595, -0.07826447169467503, -0.150652015434426, 0.015585077641417786, 0.37913982843390986, -0.29291932819748523, -0.27677337379593936, -0.047328132028900544, -0.2490741451061806, -0.13029117644431867, 0.22292247729860626, 0.04554976814985394, -0.04687225402389862, -0.10815522012452843, -0.06331899788762842, -0.11017748810189339, -0.20472330940241107, 0.3234123436696067, -0.0018403412089968215, 0.2808202994768793, 0.14348552463937322, 0.05420060328454995, 0.0406917377888244, 0.1107386893887377, 0.09017243857818599, -0.11079029309628971, -0.03119983236609521, 0.1981516724306263, -0.17164956366795361, 0.16510401453290666, -0.49680748285383597, -0.15824269034842753, -0.015046940137613185, 0.13276150715489854, 0.1945676863435846, -0.06648551349466363, -0.24668559819764022, -0.006193998188958789, -0.17047729061878458, -0.13384789084464463, -0.1043683675649975, 0.03251149535787349, -0.01644823655108351, -0.30508444701530496, 0.12056896607011404, 0.11574940757507611, 0.11213004578627189, -0.13815201107146485, -0.12444143231996165, -0.06426448887451647, 0.0781615466539919, 0.13743751651930566, 0.09354995806435389, 0.2553137009013064, -0.18439161763241402, -0.12626437716452138, 0.32778892890379135, -0.1219589910137334, -0.16054109578990206, 0.10986862901588712, -0.25595663245102124, -0.013724209177687916, 0.1509454963652759, 0.17108122654715363, 0.04153442151437048, -0.14517379102976613, 0.14346043460192254, -0.007671603989996472, 0.11553413016075383, 0.018889167526622817, 0.08070939537779219, 0.3157000624555714, 0.09146362328094107, 0.05194070123668228, 0.1646352104441149, -0.17941818190073328, 0.013480761335516463, -0.18554824871980413, -0.17713358591557765, -0.21545833417532814, 0.14262201981286385, -0.07607925245559143, -0.19875889270547398, 0.40443308162502944, 0.22736183060713264, 0.1543903201913499, -0.06398407722424183, 0.3379151799088838, 0.16183515737303628, 0.09579762446751096, 0.05303718448540538, 0.2773871320889008, 0.25574407004513683, 0.12490825647991911, -0.3856162967502463, 0.03609060366847077, -0.023787122847018193] |
707.2252 | On the Rapid Collapse and Evolution of Molecular Clouds | Stars generally form faster than the ambipolar diffusion time, suggesting
that several processes short circuit the delay and promote a rapid collapse.
These processes are considered here, including turbulence compression in the
outer parts of giant molecular cloud (GMC) cores and GMC envelopes, GMC core
formation in an initially supercritical state, and compression-induced
triggering in dispersing GMC envelopes. The classical issues related to star
formation timescales are addressed: high molecular fractions, low efficiencies,
long consumption times for CO and HCN, rapid GMC core disruption and the lack
of a stable core, long absolute but short relative timescales with accelerated
star formation, and the slow motions of protostars. We consider stimuli to
collapse from changes in the density dependence of the ionization fraction, the
cosmic ray ionization rate, and various dust properties at densities above
~10^5 cm^{-3}. We favor the standard model of subcritical GMC envelops and
suggest they would be long lived if not for disruption by rapid star formation
in GMC cores. The lifecycle of GMCs is illustrated by a spiral arm section in
the Hubble Heritage image of M51, showing GMC formation, star formation, GMC
disruption with lingering triggered star formation, and envelope dispersal.
There is no delay between spiral arm dustlanes and star formation; the
classical notion results from heavy extinction in the dust lane and triggered
star formation during cloud dispersal. Differences in the IMF for the different
modes of star formation are considered.
| astro-ph | stars generally form faster than the ambipolar diffusion time suggesting that several processes short circuit the delay and promote a rapid collapse these processes are considered here including turbulence compression in the outer parts of giant molecular cloud gmc cores and gmc envelopes gmc core formation in an initially supercritical state and compressioninduced triggering in dispersing gmc envelopes the classical issues related to star formation timescales are addressed high molecular fractions low efficiencies long consumption times for co and hcn rapid gmc core disruption and the lack of a stable core long absolute but short relative timescales with accelerated star formation and the slow motions of protostars we consider stimuli to collapse from changes in the density dependence of the ionization fraction the cosmic ray ionization rate and various dust properties at densities above 105 cm3 we favor the standard model of subcritical gmc envelops and suggest they would be long lived if not for disruption by rapid star formation in gmc cores the lifecycle of gmcs is illustrated by a spiral arm section in the hubble heritage image of m51 showing gmc formation star formation gmc disruption with lingering triggered star formation and envelope dispersal there is no delay between spiral arm dustlanes and star formation the classical notion results from heavy extinction in the dust lane and triggered star formation during cloud dispersal differences in the imf for the different modes of star formation are considered | [['stars', 'generally', 'form', 'faster', 'than', 'the', 'ambipolar', 'diffusion', 'time', 'suggesting', 'that', 'several', 'processes', 'short', 'circuit', 'the', 'delay', 'and', 'promote', 'a', 'rapid', 'collapse', 'these', 'processes', 'are', 'considered', 'here', 'including', 'turbulence', 'compression', 'in', 'the', 'outer', 'parts', 'of', 'giant', 'molecular', 'cloud', 'gmc', 'cores', 'and', 'gmc', 'envelopes', 'gmc', 'core', 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-0.003918168216184596] |
707.2253 | Zener double exchange from local valence fluctuations in magnetite | Magnetite (Fe$_{3}$O$_{4}$) is a mixed valent system where electronic
conductivity occurs on the B-site (octahedral) iron sublattice of the spinel
structure. Below $T_{V}=122$ K, a metal-insulator transition occurs which is
argued to arise from the charge ordering of 2+ and 3+ iron valences on the
B-sites (Verwey transition). Inelastic neutron scattering measurements show
that optical spin waves propagating on the B-site sublattice ($\sim$80 meV) are
shifted upwards in energy above $T_{V}$ due to the occurrence of B-B
ferromagnetic double exchange in the mixed valent metallic phase. The double
exchange interaction affects only spin waves of $\Delta_{5}$ symmetry, not all
modes, indicating that valence fluctuations are slow and the double exchange is
constrained by electron correlations above $T_{V}$.
| cond-mat.str-el | magnetite fe_3o_4 is a mixed valent system where electronic conductivity occurs on the bsite octahedral iron sublattice of the spinel structure below t_v122 k a metalinsulator transition occurs which is argued to arise from the charge ordering of 2 and 3 iron valences on the bsites verwey transition inelastic neutron scattering measurements show that optical spin waves propagating on the bsite sublattice sim80 mev are shifted upwards in energy above t_v due to the occurrence of bb ferromagnetic double exchange in the mixed valent metallic phase the double exchange interaction affects only spin waves of delta_5 symmetry not all modes indicating that valence fluctuations are slow and the double exchange is constrained by electron correlations above t_v | [['magnetite', 'fe_3o_4', 'is', 'a', 'mixed', 'valent', 'system', 'where', 'electronic', 'conductivity', 'occurs', 'on', 'the', 'bsite', 'octahedral', 'iron', 'sublattice', 'of', 'the', 'spinel', 'structure', 'below', 't_v122', 'k', 'a', 'metalinsulator', 'transition', 'occurs', 'which', 'is', 'argued', 'to', 'arise', 'from', 'the', 'charge', 'ordering', 'of', '2', 'and', '3', 'iron', 'valences', 'on', 'the', 'bsites', 'verwey', 'transition', 'inelastic', 'neutron', 'scattering', 'measurements', 'show', 'that', 'optical', 'spin', 'waves', 'propagating', 'on', 'the', 'bsite', 'sublattice', 'sim80', 'mev', 'are', 'shifted', 'upwards', 'in', 'energy', 'above', 't_v', 'due', 'to', 'the', 'occurrence', 'of', 'bb', 'ferromagnetic', 'double', 'exchange', 'in', 'the', 'mixed', 'valent', 'metallic', 'phase', 'the', 'double', 'exchange', 'interaction', 'affects', 'only', 'spin', 'waves', 'of', 'delta_5', 'symmetry', 'not', 'all', 'modes', 'indicating', 'that', 'valence', 'fluctuations', 'are', 'slow', 'and', 'the', 'double', 'exchange', 'is', 'constrained', 'by', 'electron', 'correlations', 'above', 't_v']] | [-0.19164263359110417, 0.35964613488136693, 0.04284910281020184, 0.062456834546475, -0.020866470468874843, -0.1360244617620804, 0.11663754697856975, 0.39316390852989824, -0.3068521782306248, -0.2530941539925748, -0.01400968799611417, -0.41065978332711706, -0.06691946310858274, 0.08155175599125053, 0.12827995165797143, -0.09490678410249279, -0.04903962205421051, -0.007596436420311059, -0.14949055610862882, -0.1563611552229649, 0.2785747917027791, -0.008216721981092445, 0.30684749717856274, 0.12192265885673335, -0.0042788865976035595, 0.038380773645697225, 0.19016937815166754, -0.03862015939124956, -0.12524074866450974, 0.00897781339931655, 0.26551740674014956, -0.1245321079984243, 0.12760173463350932, -0.4132793749489918, -0.1780670699583174, 0.0034072507485940024, 0.12671766447677107, 0.1205060794931467, -0.05613099789178673, -0.25003058246561677, 0.026846165463713736, -0.12576663865836274, -0.10433659825779112, -0.04652506050880565, -0.04525002980090935, -0.011876230047823027, -0.24958684112613716, 0.1751088100838764, 0.12997493995674725, 0.09109823395706841, -0.12246077893912022, -0.19019409906066922, -0.15334488735694823, -0.013888555450429177, 0.07580900257493466, 0.037502930339667666, 0.17789314854749608, -0.044216846416961275, -0.09026364799175443, 0.3593649357910557, -0.01333064865120205, -0.00884688037030142, 0.1291995240407514, -0.26127051324021583, -0.07382834694300104, 0.27331193661766834, 0.09195592076164381, 0.10690281492585701, -0.08771991646288621, 0.09399734120233916, 0.007691268483979692, 0.24008093356829266, 0.0883346571073193, 0.05306235551613319, 0.24520570984720413, 0.17371421685474442, 0.0481354143823786, 0.11008689760487399, -0.14396806186313965, -0.09068693545373992, -0.20439893022934297, -0.12001360416039021, -0.21533117739479699, 0.06208721173594501, -0.07263694874363237, -0.20871322452700858, 0.3457952681928873, 0.08121601409872929, 0.16333630378358066, -0.1227182870397569, 0.18049182874503836, 0.09022869497180339, 0.07137478551233252, 0.008834812324494123, 0.2637018772255597, 0.2341873434167516, 0.14594563997976867, -0.34191245328161285, 0.11914033548312326, 0.018188212109039183] |
707.2254 | Nonlinear Thermal Properties of Three-Terminal Mesoscopic Dielectric
Systems | This paper studies the thermal properties of three-terminal mesoscopic
dielectric systems in the nonlinear response regime at low temperature. For a
symmetric three-terminal system, when the temperature is finitely different
between the left and right thermal reservoirs, the temperature of the central
thermal reservoir is always higher than the averaging temperature of the
others. This nonlinear thermal phenomenon is also observed for asymmetric
three-terminal systems. At the end, a model of thermal rectification is
presented.
| cond-mat.mes-hall | this paper studies the thermal properties of threeterminal mesoscopic dielectric systems in the nonlinear response regime at low temperature for a symmetric threeterminal system when the temperature is finitely different between the left and right thermal reservoirs the temperature of the central thermal reservoir is always higher than the averaging temperature of the others this nonlinear thermal phenomenon is also observed for asymmetric threeterminal systems at the end a model of thermal rectification is presented | [['this', 'paper', 'studies', 'the', 'thermal', 'properties', 'of', 'threeterminal', 'mesoscopic', 'dielectric', 'systems', 'in', 'the', 'nonlinear', 'response', 'regime', 'at', 'low', 'temperature', 'for', 'a', 'symmetric', 'threeterminal', 'system', 'when', 'the', 'temperature', 'is', 'finitely', 'different', 'between', 'the', 'left', 'and', 'right', 'thermal', 'reservoirs', 'the', 'temperature', 'of', 'the', 'central', 'thermal', 'reservoir', 'is', 'always', 'higher', 'than', 'the', 'averaging', 'temperature', 'of', 'the', 'others', 'this', 'nonlinear', 'thermal', 'phenomenon', 'is', 'also', 'observed', 'for', 'asymmetric', 'threeterminal', 'systems', 'at', 'the', 'end', 'a', 'model', 'of', 'thermal', 'rectification', 'is', 'presented']] | [-0.1539309131912887, 0.17678347746531167, -0.07016790465762218, -0.024415977159515025, -0.003554683392867446, -0.1793867009629806, -0.0019347258020813267, 0.3565531203150749, -0.2928750938673814, -0.22677763090779385, 0.061948519552436965, -0.32265639655292033, -0.08821163019786278, 0.2355752685945481, -0.006335431858897209, -0.014974372933308283, -0.04632173302272956, 0.022889089941357573, -0.04244188683107495, -0.17000859414537747, 0.2948926026498278, 0.10549168580405724, 0.30355359296003975, 0.1050866172214349, 0.10259873246153196, -0.04694832661810021, 0.08180063053965568, 0.05060103602707386, -0.09203640890618166, 0.0004789753320316474, 0.24220088521639507, -0.11403414117793242, 0.23374804763744275, -0.4243576395449539, -0.23345770402501026, 0.11791034291187923, 0.08234147787094116, 0.11355714949468772, -0.032534802958058814, -0.1829339189020296, 0.0514587681243817, -0.16120264361302059, -0.12818534961591163, 0.004861108420882374, 0.02946973976989587, -0.03620299185315768, -0.2553894491742055, 0.16154578067013062, 0.10864595450460911, 0.07414023565749327, -0.0245123295718804, -0.11379779642292609, -0.044504014638562996, 0.06197075654325696, -0.0525339919840917, -0.08552138301854333, 0.23755890602245927, -0.14309174271300434, -0.037408994461099306, 0.32539197385311125, -0.07288936407712754, -0.11768898894447678, 0.21985524657803276, -0.19683525401478014, -0.07325079466526707, 0.12402628447239597, 0.1329447710327804, 0.12126175922652085, -0.2388024156022584, 0.06286787384771741, -0.05150172634671132, 0.13751806151277074, 0.03800994091356794, 0.06683056568106016, 0.28303896738216283, 0.2239093725848943, 0.035301627330482005, 0.19454528843363125, -0.06904807357117533, -0.06564183669785659, -0.2634694961458445, -0.13740320048605403, -0.18354064197589953, 0.05602243004696599, -0.11169408125783473, -0.14961181644971172, 0.41148524707804124, 0.1894673834492763, 0.13233359235028425, 0.029787224642156312, 0.3552936158577601, 0.19476781422893205, 0.006133602025608221, 0.04904097101651132, 0.23890966893484195, 0.19364742048084735, 0.18373015202581883, -0.3325434944778681, 0.054150112022956214, -0.039661032824466626] |
707.2255 | The r-Process in Supersonic Neutrino-Driven Winds: The Roll of Wind
Termination Shock | Recent hydrodynamic studies of core-collapse supernovae imply that the
neutrino-heated ejecta from a nascent neutron star develops to supersonic
outflows. These supersonic winds are influenced by the reverse shock from the
preceding supernova ejecta, forming the wind termination shock. We investigate
the effects of the termination shock in neutrino-driven winds and its roll on
the r-process. Supersonic outflows are calculated with a semi-analytic
neutrino-driven wind model. Subsequent termination-shocked, subsonic outflows
are obtained by applying the Rankine-Hugoniot relations. We find a couple of
effects that can be relevant for the r-process. First is the sudden slowdown of
the temperature decrease by the wind termination. Second is the entropy jump by
termination-shock heating, up to several 100NAk. Nucleosynthesis calculations
in the obtained winds are performed to examine these effects on the r-process.
We find that 1) the slowdown of the temperature decrease plays a decisive roll
to determine the r-process abundance curves. This is due to the strong
dependences of the nucleosynthetic path on the temperature during the r-process
freezeout phase. Our results suggest that only the termination-shocked winds
with relatively small shock radii (~500km) are relevant for the bulk of the
solar r-process abundances (A~100-180). The heaviest part in the solar
r-process curve (A~180-200), however, can be reproduced both in shocked and
unshocked winds. These results may help to constrain the mass range of
supernova progenitors relevant for the r-process. We find, on the other hand,
2) negligible roles of the entropy jump on the r-process. This is a consequence
that the sizable entropy increase takes place only at a large shock radius
(~10,000km) where the r-process has already ceased.
| astro-ph | recent hydrodynamic studies of corecollapse supernovae imply that the neutrinoheated ejecta from a nascent neutron star develops to supersonic outflows these supersonic winds are influenced by the reverse shock from the preceding supernova ejecta forming the wind termination shock we investigate the effects of the termination shock in neutrinodriven winds and its roll on the rprocess supersonic outflows are calculated with a semianalytic neutrinodriven wind model subsequent terminationshocked subsonic outflows are obtained by applying the rankinehugoniot relations we find a couple of effects that can be relevant for the rprocess first is the sudden slowdown of the temperature decrease by the wind termination second is the entropy jump by terminationshock heating up to several 100nak nucleosynthesis calculations in the obtained winds are performed to examine these effects on the rprocess we find that 1 the slowdown of the temperature decrease plays a decisive roll to determine the rprocess abundance curves this is due to the strong dependences of the nucleosynthetic path on the temperature during the rprocess freezeout phase our results suggest that only the terminationshocked winds with relatively small shock radii 500km are relevant for the bulk of the solar rprocess abundances a100180 the heaviest part in the solar rprocess curve a180200 however can be reproduced both in shocked and unshocked winds these results may help to constrain the mass range of supernova progenitors relevant for the rprocess we find on the other hand 2 negligible roles of the entropy jump on the rprocess this is a consequence that the sizable entropy increase takes place only at a large shock radius 10000km where the rprocess has already ceased | [['recent', 'hydrodynamic', 'studies', 'of', 'corecollapse', 'supernovae', 'imply', 'that', 'the', 'neutrinoheated', 'ejecta', 'from', 'a', 'nascent', 'neutron', 'star', 'develops', 'to', 'supersonic', 'outflows', 'these', 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707.2256 | On the First Law of Thermodynamics for (2+1) Dimensional Charged BTZ
Black Hole and Charged de Sitter Space | In this paper we will show that using the cosmological constant as a new
thermodynamical state variable, the differential and integral mass formulas of
the first law of thermodynamics for asymptotic flat spacetimes can be extended
to (2+1) dimensional charged BTZ black holes and charged de Sitter space.
| gr-qc | in this paper we will show that using the cosmological constant as a new thermodynamical state variable the differential and integral mass formulas of the first law of thermodynamics for asymptotic flat spacetimes can be extended to 21 dimensional charged btz black holes and charged de sitter space | [['in', 'this', 'paper', 'we', 'will', 'show', 'that', 'using', 'the', 'cosmological', 'constant', 'as', 'a', 'new', 'thermodynamical', 'state', 'variable', 'the', 'differential', 'and', 'integral', 'mass', 'formulas', 'of', 'the', 'first', 'law', 'of', 'thermodynamics', 'for', 'asymptotic', 'flat', 'spacetimes', 'can', 'be', 'extended', 'to', '21', 'dimensional', 'charged', 'btz', 'black', 'holes', 'and', 'charged', 'de', 'sitter', 'space']] | [-0.11516439312254079, 0.13335509728252268, -0.11130661406787112, 0.12558810962703623, -0.10157191324591015, -0.141228108133267, -0.027102285819031142, 0.2733643419730167, -0.15497187990695238, -0.27191555877167656, 0.09996095796183606, -0.28288190635309246, -0.08240938877376418, 0.14783216865422824, -0.08140810218992556, 0.07667340117041022, -0.04502905296976678, 0.031293583024914064, -0.11408730015682522, -0.23865575302625075, 0.42118610470788553, 0.09778582126212616, 0.21094963162128502, -0.033927860126520194, 0.13574141137845194, -0.015289722776894147, 0.003993853325179468, 0.12121403390907896, -0.22799243395350763, 0.06026199902407825, 0.23206906626486065, 0.08871959788181509, 0.1517830087298838, -0.35449901757237967, -0.21403698788102096, 0.1115546597672316, 0.21632186302061504, 0.18254216285034394, -0.10020599764538929, -0.30119368045901257, 0.04961221913496653, -0.22466427376881862, -0.2063768659524309, -0.09613564955846716, 0.025647958255528163, -0.042148104209142424, -0.21060145859761784, 0.15873471885182275, 0.04173702885843037, -0.09347150224493816, -0.16969409965289137, -0.04731991116811211, -0.06741795813043912, 0.06719806397450157, 0.10504646987343828, -0.02579135154761995, 0.14258294242123762, -0.05556852632147032, -0.1541640913928859, 0.3259194490189354, -0.144391823123442, -0.22054198931436986, 0.10788693475963858, -0.2646691726210217, -0.17721268314441355, 0.0769564788788557, 0.1589525023397679, 0.24531308014729802, -0.18777479964774102, 0.20600976241742805, 0.006987216164513181, 0.1541170289662356, 0.14430133569597578, 0.0339820652831501, 0.33887708307399106, 0.07911189963730673, 0.013113711960613728, 0.16507771539181704, -0.019995209644548595, -0.11845360418252919, -0.38108764006756246, -0.297803992141174, -0.1371070280050238, 0.15659353689989075, -0.21354394127592968, -0.1962846127571538, 0.2731834905280266, 0.0635492095061636, 0.14184502070808472, 0.05012263183501394, 0.22535490469128186, 0.08691948036963974, -0.05458139798429329, 0.10306443105218932, 0.2929307098384015, 0.11678440038425227, 0.2172165943775326, -0.2136204338942965, -0.13182886375579983, 0.15161643263612254] |
707.2257 | A Bayes method for a Bathtub Failure Rate via two $\mathbf{S}$-paths | A class of semi-parametric hazard/failure rates with a bathtub shape is of
interest. It does not only provide a great deal of flexibility over existing
parametric methods in the modeling aspect but also results in a closed and
tractable Bayes estimator for the bathtub-shaped failure rate (BFR). Such an
estimator is derived to be a finite sum over two $\mathbf{S}$-paths due to an
explicit posterior analysis in terms of two (conditionally independent)
$\mathbf{S}$-paths. These, newly discovered, explicit results can be proved to
be a Rao-Blackwellization of counterpart results in terms of partitions that
are readily available by a specialization of James (2005)'s work. We develop
both iterative and non-iterative computational procedures based on existing
efficient Monte Carlo methods for sampling one single $\mathbf{S}$-path.
Nmerical simulations are given to demonstrate the practicality and the
effectiveness of our methodology. Last but not least, two applications of the
proposed method are discussed, of which one is about a Bayesian test for
failure rates and the other is related to modeling with covariates.
| stat.ME | a class of semiparametric hazardfailure rates with a bathtub shape is of interest it does not only provide a great deal of flexibility over existing parametric methods in the modeling aspect but also results in a closed and tractable bayes estimator for the bathtubshaped failure rate bfr such an estimator is derived to be a finite sum over two mathbfspaths due to an explicit posterior analysis in terms of two conditionally independent mathbfspaths these newly discovered explicit results can be proved to be a raoblackwellization of counterpart results in terms of partitions that are readily available by a specialization of james 2005s work we develop both iterative and noniterative computational procedures based on existing efficient monte carlo methods for sampling one single mathbfspath nmerical simulations are given to demonstrate the practicality and the effectiveness of our methodology last but not least two applications of the proposed method are discussed of which one is about a bayesian test for failure rates and the other is related to modeling with covariates | [['a', 'class', 'of', 'semiparametric', 'hazardfailure', 'rates', 'with', 'a', 'bathtub', 'shape', 'is', 'of', 'interest', 'it', 'does', 'not', 'only', 'provide', 'a', 'great', 'deal', 'of', 'flexibility', 'over', 'existing', 'parametric', 'methods', 'in', 'the', 'modeling', 'aspect', 'but', 'also', 'results', 'in', 'a', 'closed', 'and', 'tractable', 'bayes', 'estimator', 'for', 'the', 'bathtubshaped', 'failure', 'rate', 'bfr', 'such', 'an', 'estimator', 'is', 'derived', 'to', 'be', 'a', 'finite', 'sum', 'over', 'two', 'mathbfspaths', 'due', 'to', 'an', 'explicit', 'posterior', 'analysis', 'in', 'terms', 'of', 'two', 'conditionally', 'independent', 'mathbfspaths', 'these', 'newly', 'discovered', 'explicit', 'results', 'can', 'be', 'proved', 'to', 'be', 'a', 'raoblackwellization', 'of', 'counterpart', 'results', 'in', 'terms', 'of', 'partitions', 'that', 'are', 'readily', 'available', 'by', 'a', 'specialization', 'of', 'james', '2005s', 'work', 'we', 'develop', 'both', 'iterative', 'and', 'noniterative', 'computational', 'procedures', 'based', 'on', 'existing', 'efficient', 'monte', 'carlo', 'methods', 'for', 'sampling', 'one', 'single', 'mathbfspath', 'nmerical', 'simulations', 'are', 'given', 'to', 'demonstrate', 'the', 'practicality', 'and', 'the', 'effectiveness', 'of', 'our', 'methodology', 'last', 'but', 'not', 'least', 'two', 'applications', 'of', 'the', 'proposed', 'method', 'are', 'discussed', 'of', 'which', 'one', 'is', 'about', 'a', 'bayesian', 'test', 'for', 'failure', 'rates', 'and', 'the', 'other', 'is', 'related', 'to', 'modeling', 'with', 'covariates']] | [-0.05845152264213894, 0.0195089978758294, -0.09220230906474881, 0.06834919756653196, -0.0958645553044157, -0.14748329491206877, 0.04339110165289262, 0.4133107889693503, -0.2439052428249497, -0.26819496702334683, 0.15650553928429783, -0.21592185203917325, -0.15416309279503254, 0.2789826909017681, -0.10911112142408766, 0.06770858486046696, 0.08539922310965045, 0.019792594486405992, -0.07471170179437982, -0.3154861359039276, 0.2532970802744896, 0.06878913451048614, 0.29966388582024817, 0.03359800387775844, 0.1043278280725112, 0.0015763332187084527, -0.04821517610093352, 0.03994427142074195, -0.12144893527524468, 0.15813690241960035, 0.28408534187687245, 0.16819698743627048, 0.3290248921186459, -0.36472376982863175, -0.2265300646356148, 0.10697785741507598, 0.15609812119510025, 0.11079830761144233, -0.03428466154458342, -0.2495230043267195, 0.103777229989646, -0.21729748902513032, -0.09101859578101827, -0.11382982828483985, -0.031953977631041554, 0.05331699381491578, -0.3230320722799572, 0.06620409512284024, 0.06105537592183526, 0.043424927004153, -0.019644001537150273, -0.14831570838578045, 0.01594927792988218, 0.06893504934638126, 0.06586350165463689, -0.001378463043315938, 0.07635112085788534, -0.09919595192527263, -0.15300031494144806, 0.3252417969956807, -0.018821986920268433, -0.2550020056958424, 0.19515277550374044, -0.0973062494673153, -0.14692016708005856, 0.16207490973856029, 0.16399006765880964, 0.13759903276123378, -0.1748717761252121, 0.05355737106902979, -0.027220080976470988, 0.14171464097254524, 0.020647102271252108, -0.009059487736965643, 0.16551942500660605, 0.16501422832640478, 0.059965918133058016, 0.1326964686567208, -0.08622980945269441, -0.11619145433395738, -0.2842377872524283, -0.1645528679364361, -0.21538464285194783, -0.00881652713937134, -0.10648794782528279, -0.181613339554155, 0.36892594886012375, 0.17402154567549233, 0.18069674889841003, 0.1020467327857992, 0.3110607951714816, 0.1219082144976355, 0.0531371081157065, 0.07255067221150256, 0.1978994393024683, 0.11558693307366721, -0.008266082781696374, -0.15791181167133334, 0.12424515557429958, 0.04772022491031349] |
707.2258 | Solar activity forecast with a dynamo model | Although systematic measurements of the solar polar magnetic field exist only
from mid 1970s, other proxies can be used to infer the polar field at earlier
times. The observational data indicate a strong correlation between the polar
field at a sunspot minimum and the strength of the next cycle, although the
strength of the cycle is not correlated well with the polar field produced at
its end. This suggests that the Babcock Leighton mechanism of poloidal field
generation from decaying sunspots involves randomness, whereas the other
aspects of the dynamo process must be reasonably ordered and deterministic.
Only if the magnetic diffusivity within the convection zone is assumed to be
high, we can explain the correlation between the polar field at a minimum and
the next cycle. We give several independent arguments that the diffusivity must
be of this order. In a dynamo model with diffusivity like this, the poloidal
field generated at the mid latitudes is advected toward the poles by the
meridional circulation and simultaneously diffuses towards the tachocline,
where the toroidal field for the next cycle is produced. To model actual solar
cycles with a dynamo model having such high diffusivity, we have to feed the
observational data of the poloidal field at the minimum into the theoretical
model. We develop a method of doing this in a systematic way. Our model
predicts that cycle 24 will be a very weak cycle. Hemispheric asymmetry of
solar activity is also calculated with our model and compared with
observational data.
| astro-ph | although systematic measurements of the solar polar magnetic field exist only from mid 1970s other proxies can be used to infer the polar field at earlier times the observational data indicate a strong correlation between the polar field at a sunspot minimum and the strength of the next cycle although the strength of the cycle is not correlated well with the polar field produced at its end this suggests that the babcock leighton mechanism of poloidal field generation from decaying sunspots involves randomness whereas the other aspects of the dynamo process must be reasonably ordered and deterministic only if the magnetic diffusivity within the convection zone is assumed to be high we can explain the correlation between the polar field at a minimum and the next cycle we give several independent arguments that the diffusivity must be of this order in a dynamo model with diffusivity like this the poloidal field generated at the mid latitudes is advected toward the poles by the meridional circulation and simultaneously diffuses towards the tachocline where the toroidal field for the next cycle is produced to model actual solar cycles with a dynamo model having such high diffusivity we have to feed the observational data of the poloidal field at the minimum into the theoretical model we develop a method of doing this in a systematic way our model predicts that cycle 24 will be a very weak cycle hemispheric asymmetry of solar activity is also calculated with our model and compared with observational data | [['although', 'systematic', 'measurements', 'of', 'the', 'solar', 'polar', 'magnetic', 'field', 'exist', 'only', 'from', 'mid', '1970s', 'other', 'proxies', 'can', 'be', 'used', 'to', 'infer', 'the', 'polar', 'field', 'at', 'earlier', 'times', 'the', 'observational', 'data', 'indicate', 'a', 'strong', 'correlation', 'between', 'the', 'polar', 'field', 'at', 'a', 'sunspot', 'minimum', 'and', 'the', 'strength', 'of', 'the', 'next', 'cycle', 'although', 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'the', 'poles', 'by', 'the', 'meridional', 'circulation', 'and', 'simultaneously', 'diffuses', 'towards', 'the', 'tachocline', 'where', 'the', 'toroidal', 'field', 'for', 'the', 'next', 'cycle', 'is', 'produced', 'to', 'model', 'actual', 'solar', 'cycles', 'with', 'a', 'dynamo', 'model', 'having', 'such', 'high', 'diffusivity', 'we', 'have', 'to', 'feed', 'the', 'observational', 'data', 'of', 'the', 'poloidal', 'field', 'at', 'the', 'minimum', 'into', 'the', 'theoretical', 'model', 'we', 'develop', 'a', 'method', 'of', 'doing', 'this', 'in', 'a', 'systematic', 'way', 'our', 'model', 'predicts', 'that', 'cycle', '24', 'will', 'be', 'a', 'very', 'weak', 'cycle', 'hemispheric', 'asymmetry', 'of', 'solar', 'activity', 'is', 'also', 'calculated', 'with', 'our', 'model', 'and', 'compared', 'with', 'observational', 'data']] | [-0.1390028335951803, 0.2002963819531761, -0.05317477174511409, 0.08071113109153485, -0.045411885302306054, -0.07670246406209719, 0.03760556393095192, 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707.2259 | A spectral Erdos-Stone-Bollobas theorem | We give a bound on the spectral radius of a graph implying a quantitative
version of the Erdos-Stone theorem.
| math.CO | we give a bound on the spectral radius of a graph implying a quantitative version of the erdosstone theorem | [['we', 'give', 'a', 'bound', 'on', 'the', 'spectral', 'radius', 'of', 'a', 'graph', 'implying', 'a', 'quantitative', 'version', 'of', 'the', 'erdosstone', 'theorem']] | [-0.15190784757335982, 0.0002281474880874157, -0.24504664726555347, 0.1088026472263866, -0.03151825556738509, -0.06696081215826173, 0.1285791341215372, 0.2985009571744336, -0.15571018970674938, -0.32344296346935963, 0.12140046078194347, -0.2193471353708042, -0.10268208736346827, 0.22479842841211292, -0.1223181298830443, -0.04470391612913874, 0.14015951876839003, 0.14248593834539255, -0.07771434117522505, -0.1540698468274463, 0.3028493562920226, 0.01705213004930152, 0.18149353677613866, 0.21947988195137846, 0.06004475119213263, 0.057728869271361165, -0.023685736374722585, 0.045804651661051646, -0.27540761817039716, 0.19802760156906313, 0.1145990751683712, 0.1383971614090519, 0.28421621873146957, -0.3312382391757435, -0.15292918705381453, 0.13162221366332638, 0.05982779730564087, 0.10350403914021121, -0.03839495077651615, -0.2621866309394439, 0.09959665970462891, -0.14157438754207557, -0.16454532649368048, 0.024833922274410725, -0.012207078023089303, -0.0015274762279457515, -0.28715878207650447, 0.10404070777197678, 0.20496730100260013, 0.07467873616971904, -0.03665631854285797, -0.08712715945310062, 0.04318858517540826, 0.02409799844543967, -0.054569986234936446, 0.023415108625259664, 0.07884973828266892, -0.08258061442110273, -0.11009593680500984, 0.3311953966816266, -0.10824033338576555, -0.12322358124785954, 0.09384550236993366, -0.08567606947488254, -0.15964135051601464, 0.06933270177493493, 0.15700349532481697, 0.1496211097886165, -0.04391955222106642, 0.09755893548329671, -0.16532767534954473, 0.24431365645594066, 0.06445527356117964, 0.10575228474206394, 0.18488975039993724, 0.1691102732697295, 0.19486816755185524, 0.21263109085460505, -0.059011246426962316, -0.020888440931836765, -0.3285011359386974, -0.1696995839172612, -0.22326820337265316, 0.12927213637158275, -0.20506087431891096, -0.2681336508442958, 0.44756985414359307, 0.03713079616944823, 0.23984604815228117, 0.1575502649260064, 0.23800934499336612, 0.1635125242691073, 0.03277787778319584, 0.10501247623728381, 0.2029612416194545, 0.2587842501492964, 0.0514756402052525, -0.1472946179823743, -0.012627330673341122, 0.23702569843994248] |
707.226 | PEPS as unique ground states of local Hamiltonians | In this paper we consider projected entangled pair states (PEPS) on arbitrary
lattices. We construct local parent Hamiltonians for each PEPS and isolate a
condition under which the state is the unique ground state of the Hamiltonian.
This condition, verified by generic PEPS and examples like the AKLT model, is
an injective relation between the boundary and the bulk of any local region.
While it implies the existence of an energy gap in the 1D case we will show
that in certain cases (e.g., on a 2D hexagonal lattice) the parent Hamiltonian
can be gapless with a critical ground state. To show this we invoke a mapping
between classical and quantum models and prove that in these cases the
injectivity relation between boundary and bulk solely depends on the lattice
geometry.
| quant-ph cond-mat.stat-mech math-ph math.MP | in this paper we consider projected entangled pair states peps on arbitrary lattices we construct local parent hamiltonians for each peps and isolate a condition under which the state is the unique ground state of the hamiltonian this condition verified by generic peps and examples like the aklt model is an injective relation between the boundary and the bulk of any local region while it implies the existence of an energy gap in the 1d case we will show that in certain cases eg on a 2d hexagonal lattice the parent hamiltonian can be gapless with a critical ground state to show this we invoke a mapping between classical and quantum models and prove that in these cases the injectivity relation between boundary and bulk solely depends on the lattice geometry | [['in', 'this', 'paper', 'we', 'consider', 'projected', 'entangled', 'pair', 'states', 'peps', 'on', 'arbitrary', 'lattices', 'we', 'construct', 'local', 'parent', 'hamiltonians', 'for', 'each', 'peps', 'and', 'isolate', 'a', 'condition', 'under', 'which', 'the', 'state', 'is', 'the', 'unique', 'ground', 'state', 'of', 'the', 'hamiltonian', 'this', 'condition', 'verified', 'by', 'generic', 'peps', 'and', 'examples', 'like', 'the', 'aklt', 'model', 'is', 'an', 'injective', 'relation', 'between', 'the', 'boundary', 'and', 'the', 'bulk', 'of', 'any', 'local', 'region', 'while', 'it', 'implies', 'the', 'existence', 'of', 'an', 'energy', 'gap', 'in', 'the', '1d', 'case', 'we', 'will', 'show', 'that', 'in', 'certain', 'cases', 'eg', 'on', 'a', '2d', 'hexagonal', 'lattice', 'the', 'parent', 'hamiltonian', 'can', 'be', 'gapless', 'with', 'a', 'critical', 'ground', 'state', 'to', 'show', 'this', 'we', 'invoke', 'a', 'mapping', 'between', 'classical', 'and', 'quantum', 'models', 'and', 'prove', 'that', 'in', 'these', 'cases', 'the', 'injectivity', 'relation', 'between', 'boundary', 'and', 'bulk', 'solely', 'depends', 'on', 'the', 'lattice', 'geometry']] | [-0.1550845659572546, 0.15868501706188368, -0.07003204616582917, 0.06428540699478978, -0.016296926119812687, -0.14788093752732487, 0.0364250669972118, 0.3583564852783812, -0.27877294977430167, -0.24870162620031425, 0.0942634918966032, -0.263506856280866, -0.14339060861020142, 0.1311485294860482, -0.009753984443795377, 0.03961827984890182, 0.06817185264151857, 0.05172304907202266, -0.15720631192502288, -0.20877959150714331, 0.3753364343437871, -0.026219526004536746, 0.284122271079371, 0.07806359198546918, 0.07820045106994514, 0.027579428228187083, 0.11100266102473927, 0.0003519276717048092, -0.18021255759720048, 0.10246764429629858, 0.18837987636127673, 0.04938744786124364, 0.1880777130145153, -0.42258607091396366, -0.19809229462229797, 0.1221338587827298, 0.0992124526931874, 0.1595198904290326, -0.012397541597890775, -0.3103946592811609, 0.06334277991923497, -0.1625247795227204, -0.15078841514160274, -0.08246167147006014, -0.01139704308309059, -0.023486832256752372, -0.2499282670363727, 0.07572037729484435, 0.08879613977117563, 0.047477757607991916, -0.11302654563897212, -0.047568870797213024, -0.10358176763233451, 0.10289213585290517, -0.029396516514430177, 0.03774870563483306, 0.05979248407503007, -0.13734934695655096, -0.10460959833278854, 0.3788493574092179, -0.03347326482056093, -0.24370741783392452, 0.2335223064167809, -0.1140702739046915, -0.12464012821268944, 0.047603933943990075, 0.11194335013087697, 0.1093559188604753, -0.09778477772066142, 0.12127348998088731, -0.11381751193153096, 0.1745433771186544, 0.007267434683180492, 0.06282976093410536, 0.22231489282016081, 0.09491905192880117, 0.14313123065032748, 0.2125066869620248, -0.05686839533532536, -0.10781340099131788, -0.3197767502123504, -0.20483559239229174, -0.24693168505656582, 0.06286213516954418, -0.061969197585597595, -0.18133193368220146, 0.4104581224582805, 0.12772109274679566, 0.19824352149517482, 0.02852075756971817, 0.2102126428672603, 0.10460515141856806, 0.03715922001336936, 0.11233557016368358, 0.2380242713492449, 0.1071678448294268, 0.00572661490833657, -0.24071629108676246, 0.009931608032122369, 0.11049559871836757] |
707.2261 | Accurate Spitzer infrared radius measurement for the hot Neptune GJ 436b | We present Spitzer Space Telescope infrared photometry of a primary transit
of the hot Neptune GJ 436b. The observations were obtained using the 8 microns
band of the InfraRed Array Camera (IRAC). The high accuracy of the transit data
and the weak limb-darkening in the 8 microns IRAC band allow us to derive
(assuming M = 0.44 +- 0.04 Msun for the primary) a precise value for the
planetary radius (4.19 +0.21-0.16 Rearth), the stellar radius (0.463
+0.022-0.017 Rsun), the orbital inclination (85.90 +0.19-0.18 degrees) and
transit timing (2454280.78186 +0.00015-0.00008 HJD). Assuming current planet
models, an internal structure similar to that of Neptune with a small H/He
envelope is necessary to account for the measured radius of GJ 436b.
| astro-ph | we present spitzer space telescope infrared photometry of a primary transit of the hot neptune gj 436b the observations were obtained using the 8 microns band of the infrared array camera irac the high accuracy of the transit data and the weak limbdarkening in the 8 microns irac band allow us to derive assuming m 044 004 msun for the primary a precise value for the planetary radius 419 021016 rearth the stellar radius 0463 00220017 rsun the orbital inclination 8590 019018 degrees and transit timing 245428078186 000015000008 hjd assuming current planet models an internal structure similar to that of neptune with a small hhe envelope is necessary to account for the measured radius of gj 436b | [['we', 'present', 'spitzer', 'space', 'telescope', 'infrared', 'photometry', 'of', 'a', 'primary', 'transit', 'of', 'the', 'hot', 'neptune', 'gj', '436b', 'the', 'observations', 'were', 'obtained', 'using', 'the', '8', 'microns', 'band', 'of', 'the', 'infrared', 'array', 'camera', 'irac', 'the', 'high', 'accuracy', 'of', 'the', 'transit', 'data', 'and', 'the', 'weak', 'limbdarkening', 'in', 'the', '8', 'microns', 'irac', 'band', 'allow', 'us', 'to', 'derive', 'assuming', 'm', '044', '004', 'msun', 'for', 'the', 'primary', 'a', 'precise', 'value', 'for', 'the', 'planetary', 'radius', '419', '021016', 'rearth', 'the', 'stellar', 'radius', '0463', '00220017', 'rsun', 'the', 'orbital', 'inclination', '8590', '019018', 'degrees', 'and', 'transit', 'timing', '245428078186', '000015000008', 'hjd', 'assuming', 'current', 'planet', 'models', 'an', 'internal', 'structure', 'similar', 'to', 'that', 'of', 'neptune', 'with', 'a', 'small', 'hhe', 'envelope', 'is', 'necessary', 'to', 'account', 'for', 'the', 'measured', 'radius', 'of', 'gj', '436b']] | [-0.10067322150072348, 0.11680913227727226, -0.08211638758075424, 0.034354405063952854, -0.11891663953429088, -0.10204307775295872, 0.08703084637610507, 0.3741430644877255, -0.12207679488554797, -0.41580889862130527, 0.10226957269125185, -0.27710407407721505, -0.03200060332060924, 0.15520722957444377, -0.14026262484341195, 0.0556258903431756, 0.16269644785019668, -0.11854387692333798, -0.037128093213790896, -0.26328701108494507, 0.1714918983717715, 0.08964937795410931, -0.0062406388959581295, -0.016071777246127437, 0.04862098545605217, -0.025244892916816752, -0.04226252967159131, -0.11401011000296941, -0.27520620136296464, 0.052782575824364485, 0.20252089459053682, 0.10099471254839695, 0.12349029173908223, -0.29890783553336014, -0.19455697595341398, 0.024409026298339347, 0.09869616531276344, -0.04532304438596059, 0.06535541470761277, -0.28172197894725415, 0.07645016791814539, -0.2032875167309872, -0.20964087025744707, 0.08805757181419592, 0.11988520983140916, -0.04018794655816497, -0.3137774447225508, 0.08233743131859228, -0.019847986995176013, 0.2048008775870715, -0.22409937496662938, -0.21815042998683307, -0.1447148493077423, 0.06555539704692949, -0.03925255615571847, 0.05478694077464752, 0.14194157878227998, -0.03518083771840403, 0.04902409353443155, 0.3859764059805976, -0.1407396526296257, 0.043780295427755585, 0.18302603000691825, -0.22586588878350863, -0.10170023455118228, 0.2176431609134722, 0.1298183008592397, 0.11743507200818774, -0.19412752761490992, 0.034214302667740934, -0.004572514316740646, 0.314561389170454, 0.0975139219247337, 0.10957525862613693, 0.4268228249857202, 0.12379729050839419, 0.08275492096020441, 0.009935735357950242, -0.38155810759885106, -0.005861929888072025, -0.182293487496541, -0.09176280575255598, -0.1364533013797232, 0.06409971130779013, -0.20249788426502033, -0.07327205431803512, 0.3260653269784858, 0.15122360770224727, 0.17463687878833817, 0.07212586050653565, 0.34982088853472043, 0.06894146315919768, 0.12072776288758698, 0.11666680660813913, 0.36738357675494626, 0.17428010180135192, 0.12613027026652293, -0.2737092484478905, -0.0014091407938394696, -0.009196587001692283] |
707.2262 | Irreducible Sp-representations and subgroup distortion in the mapping
class group | We prove that various subgroups of the mapping class group $Mod(\Sigma)$ of a
surface $\Sigma$ are at least exponentially distorted. Examples include the
Torelli group (answering a question of Hamenstadt), the "point-pushing" and
surface braid subgroups, and the Lagrangian subgroup. Our techniques include a
method to compute lower bounds on distortion via representation theory and an
extension of Johnson theory to arbitrary subgroups of $H_1(\Sigma;\mathbb{Z})$.
| math.GT math.GR | we prove that various subgroups of the mapping class group modsigma of a surface sigma are at least exponentially distorted examples include the torelli group answering a question of hamenstadt the pointpushing and surface braid subgroups and the lagrangian subgroup our techniques include a method to compute lower bounds on distortion via representation theory and an extension of johnson theory to arbitrary subgroups of h_1sigmamathbbz | [['we', 'prove', 'that', 'various', 'subgroups', 'of', 'the', 'mapping', 'class', 'group', 'modsigma', 'of', 'a', 'surface', 'sigma', 'are', 'at', 'least', 'exponentially', 'distorted', 'examples', 'include', 'the', 'torelli', 'group', 'answering', 'a', 'question', 'of', 'hamenstadt', 'the', 'pointpushing', 'and', 'surface', 'braid', 'subgroups', 'and', 'the', 'lagrangian', 'subgroup', 'our', 'techniques', 'include', 'a', 'method', 'to', 'compute', 'lower', 'bounds', 'on', 'distortion', 'via', 'representation', 'theory', 'and', 'an', 'extension', 'of', 'johnson', 'theory', 'to', 'arbitrary', 'subgroups', 'of', 'h_1sigmamathbbz']] | [-0.12170032963215832, 0.08386410546829991, -0.12090365472619259, 0.09524989784473464, -0.08954494035551472, -0.11466325441789296, 0.069770983224439, 0.3334327851614309, -0.3282847162040453, -0.29412651404974954, 0.13839139053524133, -0.30775202562411624, -0.1550216220304488, 0.23801721091426553, -0.13503445872283054, -0.03850896954388609, 0.028859139479223698, 0.07415881465070896, -0.09613551126630415, -0.26561603508889675, 0.33964033099630525, -0.05814735161968403, 0.2447663890937018, 0.052609552695815055, 0.07171209650262007, 0.0022433859976156365, -0.06223467676826413, -0.02127878401901514, -0.14128810001432338, 0.18445518532294838, 0.24259324318596295, 0.05508443837734087, 0.2072631162960851, -0.3600646409664362, -0.22875405753415728, 0.15014056005655596, 0.11373707982859323, 0.07463033980734292, -0.05586990597103501, -0.31021570281258654, 0.11140757412575776, -0.17476947422301958, -0.14227430124781906, -0.0750954547630889, 0.03651214568387894, -0.04826308074333365, -0.20965484988003497, 0.004082362714504439, 0.1044435961142419, 0.12804066090445435, -0.050498688992645056, -0.09573611581609362, -0.034260411464077024, 0.13053240080822318, 0.023176421869605307, 0.058786188680974266, 0.1214230232132924, -0.10254408719225062, -0.10017824554372401, 0.4041288464611012, -0.10474997046329672, -0.20679716606225287, 0.1605416518887357, -0.14178058981067604, -0.20200076911391485, 0.1298770199766353, 0.18054308822112425, 0.1493390892292299, -0.029280160258095416, 0.19795940479814325, -0.12993989101359768, 0.09878667731518073, 0.05231848756028783, -0.02549487945904571, 0.07805966569613369, 0.07217010579973696, 0.12089386039842216, 0.1334141254543312, 0.007376043584256891, 0.054550060048876775, -0.34337403702120933, -0.17190103993440667, -0.10098912685163437, 0.029133033103472185, -0.10915141244393974, -0.18884758843988594, 0.41595542602359303, 0.058400441848096396, 0.12249997225663965, 0.1540151515916463, 0.18762182492378449, 0.04220731192201908, 0.04425639305855074, 0.11641970872583371, 0.06697877620102927, 0.24579489358242543, -0.18205436568204608, -0.1876109913268703, -0.04386989411986655, 0.24767139994554102] |
707.2263 | The Role of Surface Tension for the Equation of State of Quark-Gluon
Bags | The temperature and chemical potential dependent surface tension of bags is
introduced into the gas of quark-gluon bags model. The suggested model is
solved analytically. It resolves a long standing problem of a unified
description of the first and second order phase transition with the cross-over.
Such an approach is necessary to model the complicated properties of
quark-gluon plasma and hadronic matter from the first principles of statistical
mechanics. In addition to the deconfinement phase transition, we found that at
the curve of a zero surface tension coefficient there must exist the surface
induced phase tranition of the 2-nd or higher order, which separates the pure
quark gluon plasma (QGP) from the cross-over states. Thus, the present model
predicts that the critical endpoint of quantum chromodynamics is the
tricritical endpoint.
| nucl-th | the temperature and chemical potential dependent surface tension of bags is introduced into the gas of quarkgluon bags model the suggested model is solved analytically it resolves a long standing problem of a unified description of the first and second order phase transition with the crossover such an approach is necessary to model the complicated properties of quarkgluon plasma and hadronic matter from the first principles of statistical mechanics in addition to the deconfinement phase transition we found that at the curve of a zero surface tension coefficient there must exist the surface induced phase tranition of the 2nd or higher order which separates the pure quark gluon plasma qgp from the crossover states thus the present model predicts that the critical endpoint of quantum chromodynamics is the tricritical endpoint | [['the', 'temperature', 'and', 'chemical', 'potential', 'dependent', 'surface', 'tension', 'of', 'bags', 'is', 'introduced', 'into', 'the', 'gas', 'of', 'quarkgluon', 'bags', 'model', 'the', 'suggested', 'model', 'is', 'solved', 'analytically', 'it', 'resolves', 'a', 'long', 'standing', 'problem', 'of', 'a', 'unified', 'description', 'of', 'the', 'first', 'and', 'second', 'order', 'phase', 'transition', 'with', 'the', 'crossover', 'such', 'an', 'approach', 'is', 'necessary', 'to', 'model', 'the', 'complicated', 'properties', 'of', 'quarkgluon', 'plasma', 'and', 'hadronic', 'matter', 'from', 'the', 'first', 'principles', 'of', 'statistical', 'mechanics', 'in', 'addition', 'to', 'the', 'deconfinement', 'phase', 'transition', 'we', 'found', 'that', 'at', 'the', 'curve', 'of', 'a', 'zero', 'surface', 'tension', 'coefficient', 'there', 'must', 'exist', 'the', 'surface', 'induced', 'phase', 'tranition', 'of', 'the', '2nd', 'or', 'higher', 'order', 'which', 'separates', 'the', 'pure', 'quark', 'gluon', 'plasma', 'qgp', 'from', 'the', 'crossover', 'states', 'thus', 'the', 'present', 'model', 'predicts', 'that', 'the', 'critical', 'endpoint', 'of', 'quantum', 'chromodynamics', 'is', 'the', 'tricritical', 'endpoint']] | [-0.0852572348410112, 0.2443577705733812, -0.15881642010857083, 0.06381972896859281, -0.04680896777832924, -0.12334699843930759, 0.059543957885051534, 0.3044505624764765, -0.24902108642669726, -0.25243129546198156, 0.030950849362316925, -0.2929747026267483, -0.09797621224718096, 0.08188893375448998, 0.050909846078951, 0.09356694838190957, -0.0103431266909393, 0.0587181452510142, -0.08584473786903582, -0.18723976177473864, 0.3603616939612137, -0.0034255808654291803, 0.275244484576144, 0.17240753282554622, 0.08780338934283385, -0.05565158716337972, 0.03185940675740672, 0.03221603093466671, -0.1453190073257, 0.011763218548888874, 0.2051286654047805, 0.03498248750697677, 0.17866424380173518, -0.3979800958330779, -0.27502876743060617, 0.09462733980080532, 0.10751708862985405, 0.13871315533797032, -0.023038842892202066, -0.25244462749985763, 0.04068192801358857, -0.16393082711463, -0.16423229305723377, -0.03504971322394157, -0.016167986520760975, -0.07523977274053492, -0.25624283579676305, 0.135061452027172, 0.0545981372887081, 0.004329313654019389, -0.042739495189225145, -0.11661711536968748, -0.04998519993026185, 0.11749897297794837, 0.0536850210317975, 0.11970819913702764, 0.12549504660459798, -0.19674116550663182, -0.06775415359541427, 0.4381489743399181, -0.05286444672527759, -0.08665970941038095, 0.1927395384043975, -0.17177418588891682, -0.09816564224631519, 0.1732379846209877, 0.12752195023895466, 0.10290659198089856, -0.1480201989946555, 0.06734858635161434, -0.0024900697027296984, 0.1785446756425523, 0.05115461638269499, -0.02074461489511553, 0.2772020795960124, 0.19986310738045, 0.00040359571648314015, 0.16042875502504003, -0.05239453696999555, -0.1306246396157775, -0.3713250230102576, -0.1308389476738697, -0.17154501965305544, -0.01968291604732589, -0.101227105887225, -0.21008143070345212, 0.39657581304452677, 0.14589418665065554, 0.1944249462708109, -0.02967556031662682, 0.27774215650080536, 0.13707075588578402, 0.006845082899974298, 0.06459809281112439, 0.2524057001005425, 0.17582159239596637, 0.14257932479616053, -0.2751063034625394, 0.044817939382624024, 0.13427737234665674] |
707.2264 | The Casson invariant and the word metric on the Torelli group | We bound the value of the Casson invariant of any integral homology 3-sphere
$M$ by a constant times the distance-squared to the identity, measured in any
word metric on the Torelli group $\T$, of the element of $\T$ associated to any
Heegaard splitting of $M$. We construct examples which show this bound is
asymptotically sharp.
| math.GT math.GR | we bound the value of the casson invariant of any integral homology 3sphere m by a constant times the distancesquared to the identity measured in any word metric on the torelli group t of the element of t associated to any heegaard splitting of m we construct examples which show this bound is asymptotically sharp | [['we', 'bound', 'the', 'value', 'of', 'the', 'casson', 'invariant', 'of', 'any', 'integral', 'homology', '3sphere', 'm', 'by', 'a', 'constant', 'times', 'the', 'distancesquared', 'to', 'the', 'identity', 'measured', 'in', 'any', 'word', 'metric', 'on', 'the', 'torelli', 'group', 't', 'of', 'the', 'element', 'of', 't', 'associated', 'to', 'any', 'heegaard', 'splitting', 'of', 'm', 'we', 'construct', 'examples', 'which', 'show', 'this', 'bound', 'is', 'asymptotically', 'sharp']] | [-0.24777534634975548, 0.11712029225362296, -0.12263424824923277, 0.06915860880504955, -0.0753220584243536, -0.16030898005278274, 0.04765343737195839, 0.3219643662599, -0.29109871986914765, -0.29970064227553933, 0.0843755608657375, -0.2590493021363562, -0.13053366748870096, 0.15497112930329007, -0.12559748021039097, 0.015846981717781587, 0.06979322273453528, 0.16646756929430095, -0.11981963731179184, -0.26621172296264295, 0.3875976984473792, -0.03887418293478814, 0.17498118489642034, 0.08057261464101347, 0.13929709373888643, -0.04282444983043454, -0.010999425432898781, -0.030181885561482474, -0.23457562047988176, 0.12961076394739476, 0.2595679615624249, 0.03308491475710815, 0.1518578442660245, -0.28559407635845924, -0.13929055665027013, 0.18890869588675824, 0.08993419826200062, 0.009073623885739256, -0.015520755110562525, -0.2999660547484051, 0.1356919821775095, -0.11599513280882755, -0.13871301596306942, -0.006762476807290857, 0.06863227059895342, -0.03002333464947614, -0.2225532308559526, 0.0016297168691049922, 0.1314598404548385, 0.042197206032208424, -0.03770034529946067, -0.10746885077943179, -0.03571686924181201, 0.13175266619602388, 0.0553629126272757, 0.13301539705769921, 0.10238552590493452, -0.08070298283868893, -0.10096270169385455, 0.33672913658347997, -0.1887755383822051, -0.23427815271372146, 0.08751057244159959, -0.1700926663438705, -0.1531154411336915, 0.1421093712476167, 0.07190914330157366, 0.17513087320734155, -0.05733198066326705, 0.20186042472381482, -0.11955841107463294, 0.14367288303646175, 0.10861859052357349, -0.056959894519637934, 0.07189955374395306, 0.04082865909546275, 0.16990006503395058, 0.12757624360436404, -0.021912683704232966, 0.004664129391312599, -0.36120927018875426, -0.2633341793076728, -0.20037267771126194, 0.1708478661592711, -0.1645870257507671, -0.1855480431155725, 0.3485673248090527, 0.028325762362642722, 0.20350577760149133, 0.15305003288667648, 0.2520720058544116, 0.09004093196920374, 0.10512657504613426, 0.1429003003900024, 0.11063675291158936, 0.16066146842204035, -0.04483519591899081, -0.2079636000858789, -0.0038405326872386716, 0.2589584837413647] |
707.2265 | Separable convex optimization problems with linear ascending constraints | Separable convex optimization problems with linear ascending inequality and
equality constraints are addressed in this paper. Under an ordering condition
on the slopes of the functions at the origin, an algorithm that determines the
optimum point in a finite number of steps is described. The optimum value is
shown to be monotone with respect to a partial order on the constraint
parameters. Moreover, the optimum value is convex with respect to these
parameters. Examples motivated by optimizations for communication systems are
used to illustrate the algorithm.
| cs.IT math.IT math.OC | separable convex optimization problems with linear ascending inequality and equality constraints are addressed in this paper under an ordering condition on the slopes of the functions at the origin an algorithm that determines the optimum point in a finite number of steps is described the optimum value is shown to be monotone with respect to a partial order on the constraint parameters moreover the optimum value is convex with respect to these parameters examples motivated by optimizations for communication systems are used to illustrate the algorithm | [['separable', 'convex', 'optimization', 'problems', 'with', 'linear', 'ascending', 'inequality', 'and', 'equality', 'constraints', 'are', 'addressed', 'in', 'this', 'paper', 'under', 'an', 'ordering', 'condition', 'on', 'the', 'slopes', 'of', 'the', 'functions', 'at', 'the', 'origin', 'an', 'algorithm', 'that', 'determines', 'the', 'optimum', 'point', 'in', 'a', 'finite', 'number', 'of', 'steps', 'is', 'described', 'the', 'optimum', 'value', 'is', 'shown', 'to', 'be', 'monotone', 'with', 'respect', 'to', 'a', 'partial', 'order', 'on', 'the', 'constraint', 'parameters', 'moreover', 'the', 'optimum', 'value', 'is', 'convex', 'with', 'respect', 'to', 'these', 'parameters', 'examples', 'motivated', 'by', 'optimizations', 'for', 'communication', 'systems', 'are', 'used', 'to', 'illustrate', 'the', 'algorithm']] | [-0.1340552713318598, 0.0633727395287742, -0.06730566724463431, 0.03673850772306756, -0.07420687274032728, -0.14724052407194016, 0.0363742669321445, 0.37891509921051736, -0.3282474561182912, -0.2905674915460242, 0.1493277366809157, -0.2709408835183049, -0.1382916797545392, 0.20654854008408133, -0.09615160124701295, 0.12125144522030686, 0.03303746609450426, 0.048843689880138916, -0.12452918038768478, -0.2872957776322268, 0.31368071889114935, 0.03549539294570338, 0.2314865077347603, 0.0596502281659077, 0.10664773162259439, -0.020701532966868823, 0.04603791144286651, 0.07123629352467697, -0.1642428209689929, 0.09171849975990522, 0.27473040618446415, 0.16912716185284216, 0.30015245742749336, -0.38503623140845883, -0.14403689398192043, 0.1363023927998404, 0.08444312076235927, 0.03424295120287773, 0.001216144861415202, -0.21382162973371355, 0.11907551161197642, -0.07630056846172137, -0.1398041081279083, -0.037450441624969244, -0.024581739825174906, 0.05634169429973807, -0.37597281402410115, 0.013947530411357103, 0.03817550125423559, 0.04162807277739481, -0.08050671831141551, -0.11960647544325438, 0.01620235045570447, 0.05001881448443719, 0.06364258866876277, 0.04937472491156916, 0.09854029391372446, -0.08497481555732098, -0.12068190291350664, 0.36519972051948657, -0.004450435832760102, -0.27319179431990137, 0.14189183611292824, -0.0683129591553277, -0.1371755574282995, 0.1345731771366974, 0.1706375238149925, 0.13076418100011555, -0.14358353967572626, 0.12247766352870819, -0.05017185021194543, 0.16827254588776647, 0.046621808654975234, 0.016327380863299896, 0.13500404458216847, 0.12765258554975653, 0.21979635510442042, 0.17793705876304788, 0.02500584893210163, -0.11970405438698309, -0.3260961399348669, -0.09359468688625236, -0.20100436428951662, -0.02327323849800281, -0.1022746206444301, -0.11534638524963792, 0.37541518919169903, 0.10239642435078357, 0.20471565557513818, 0.09448275465767311, 0.27628974001421486, 0.18856440068677413, 0.03317432654046908, 0.0838489760482294, 0.21286541632874761, 0.1381777601971746, 0.02463865361371359, -0.24894372991632757, 0.11425145114447142, 0.07523256701655513] |
707.2266 | Phase-separation of miscible liquids in a centrifuge | We show that a liquid mixture in the thermodynamically stable homogeneous
phase can undergo a phase-separation transition when rotated at sufficiently
high frequency $\omega$. This phase-transition is different from the usual case
where two liquids are immiscible or where the slow sedimentation process of one
component (e.g. a polymer) is accelerated due to centrifugation. For a binary
mixture, the main coupling is due to a term $\propto \Delta\rho(\omega r)^2$,
where $\Delta\rho$ is the difference between the two liquid densities and $r$
the distance from the rotation axis. Below the critical temperature there is a
critical rotation frequency $\omega_c$, below which smooth density gradients
occur. When $\omega>\omega_c$, we find a sharp interface between the low
density liquid close to the center of the centrifuge and a high density liquid
far from the center. These findings may be relevant to various separation
processes and to the control of chemical reactions, in particular their
kinetics.
| cond-mat.soft cond-mat.stat-mech | we show that a liquid mixture in the thermodynamically stable homogeneous phase can undergo a phaseseparation transition when rotated at sufficiently high frequency omega this phasetransition is different from the usual case where two liquids are immiscible or where the slow sedimentation process of one component eg a polymer is accelerated due to centrifugation for a binary mixture the main coupling is due to a term propto deltarhoomega r2 where deltarho is the difference between the two liquid densities and r the distance from the rotation axis below the critical temperature there is a critical rotation frequency omega_c below which smooth density gradients occur when omegaomega_c we find a sharp interface between the low density liquid close to the center of the centrifuge and a high density liquid far from the center these findings may be relevant to various separation processes and to the control of chemical reactions in particular their kinetics | [['we', 'show', 'that', 'a', 'liquid', 'mixture', 'in', 'the', 'thermodynamically', 'stable', 'homogeneous', 'phase', 'can', 'undergo', 'a', 'phaseseparation', 'transition', 'when', 'rotated', 'at', 'sufficiently', 'high', 'frequency', 'omega', 'this', 'phasetransition', 'is', 'different', 'from', 'the', 'usual', 'case', 'where', 'two', 'liquids', 'are', 'immiscible', 'or', 'where', 'the', 'slow', 'sedimentation', 'process', 'of', 'one', 'component', 'eg', 'a', 'polymer', 'is', 'accelerated', 'due', 'to', 'centrifugation', 'for', 'a', 'binary', 'mixture', 'the', 'main', 'coupling', 'is', 'due', 'to', 'a', 'term', 'propto', 'deltarhoomega', 'r2', 'where', 'deltarho', 'is', 'the', 'difference', 'between', 'the', 'two', 'liquid', 'densities', 'and', 'r', 'the', 'distance', 'from', 'the', 'rotation', 'axis', 'below', 'the', 'critical', 'temperature', 'there', 'is', 'a', 'critical', 'rotation', 'frequency', 'omega_c', 'below', 'which', 'smooth', 'density', 'gradients', 'occur', 'when', 'omegaomega_c', 'we', 'find', 'a', 'sharp', 'interface', 'between', 'the', 'low', 'density', 'liquid', 'close', 'to', 'the', 'center', 'of', 'the', 'centrifuge', 'and', 'a', 'high', 'density', 'liquid', 'far', 'from', 'the', 'center', 'these', 'findings', 'may', 'be', 'relevant', 'to', 'various', 'separation', 'processes', 'and', 'to', 'the', 'control', 'of', 'chemical', 'reactions', 'in', 'particular', 'their', 'kinetics']] | [-0.1350547599911517, 0.2591471554301309, -0.0799433468989041, 0.01199949757758667, -0.007393102517770912, -0.1609757214072253, 0.05440724435083519, 0.34737862548513326, -0.29922834774540946, -0.252141253048221, 0.09760284043435279, -0.2783047911550677, -0.08892807552116054, 0.13535805982583826, 0.0034499878174816534, 0.005082981617788211, -0.04604089443898753, 0.037339469800327, -0.0881877378514345, -0.13575085292613467, 0.2931868128743738, 0.0011931400659759314, 0.2783602671512705, 0.07308907763815072, 0.062029208876932695, -0.07096016309563292, 0.1083011213822648, 0.012663561727432226, -0.1601510621403095, 0.021836959084631593, 0.26446555361201035, -0.01384352750163402, 0.2239660197276844, -0.392921638733049, -0.2189777216053759, 0.10803551921799828, 0.12958701078759566, 0.12493537981078547, -0.062082884054544644, -0.22250256842443264, 0.03829441073393782, -0.13394587251376236, -0.14350385833778326, -0.01660249492042507, 0.06454438605462971, 0.05472691190260962, -0.2790016622486099, 0.14536662505236486, 0.06720280074606964, 0.0426661943221181, -0.07743371969755024, -0.1100007144823695, -0.059155983064749236, 0.0939684298466922, 0.0642380069689563, 0.09015584692423731, 0.18716926455485405, -0.12840829315496646, 0.012619198896669296, 0.3900432457888363, -0.08353164314372552, -0.15146113137733067, 0.27134694950038335, -0.20150017424406397, -0.08607492439868238, 0.19603169533973006, 0.15303369969536632, 0.10480425180096352, -0.0857321814295068, 0.03150124960815664, 0.0365566800137217, 0.19005046868758485, 0.0860126760930119, -0.04786413971532062, 0.2686557827844278, 0.17380600417224037, 0.05805604184194412, 0.12853328180144732, -0.1262797006754365, -0.12404748562735733, -0.27232486402480216, -0.13834179120079695, -0.1808277095748198, 0.030291370546371238, -0.10664325345599397, -0.1559304694293548, 0.31467460507576334, 0.0988377805264198, 0.23946368561699888, 0.0045751918350895315, 0.28275232861089883, 0.11550613657096463, 0.03437370529848564, 0.07459229204668016, 0.25758725283852474, 0.1423864373351318, 0.09561855225077528, -0.24816727719041487, 0.06705819278190665, 0.006627073226225198] |
707.2267 | High energy kink in the dispersion of a hole in an antiferromagnet --
double-occupancy effects on electronic excitations | Evolution of the hole spectral function along the Gamma-(pi,pi) cut is
studied in the antiferromagnetic state of the Hubbard model. The kink in the
calculated hole dispersion, the sharp spectral-weight transfer between the
branches, and the drastically suppressed coherent spectral weight near k=(0,0),
as observed recently in the high-resolution ARPES studies of cuprate
antiferromagnets, are shown to be strongly enhanced by finite-U
double-occupancy effects. Together with the anomalous spin-wave dispersion
observed earlier in high-resolution neutron-scattering studies, the present
study provides further evidence of a unified description of magnetic and
electronic excitations in cuprate antiferromagnets in terms of the Hubbard
model.
| cond-mat.str-el | evolution of the hole spectral function along the gammapipi cut is studied in the antiferromagnetic state of the hubbard model the kink in the calculated hole dispersion the sharp spectralweight transfer between the branches and the drastically suppressed coherent spectral weight near k00 as observed recently in the highresolution arpes studies of cuprate antiferromagnets are shown to be strongly enhanced by finiteu doubleoccupancy effects together with the anomalous spinwave dispersion observed earlier in highresolution neutronscattering studies the present study provides further evidence of a unified description of magnetic and electronic excitations in cuprate antiferromagnets in terms of the hubbard model | [['evolution', 'of', 'the', 'hole', 'spectral', 'function', 'along', 'the', 'gammapipi', 'cut', 'is', 'studied', 'in', 'the', 'antiferromagnetic', 'state', 'of', 'the', 'hubbard', 'model', 'the', 'kink', 'in', 'the', 'calculated', 'hole', 'dispersion', 'the', 'sharp', 'spectralweight', 'transfer', 'between', 'the', 'branches', 'and', 'the', 'drastically', 'suppressed', 'coherent', 'spectral', 'weight', 'near', 'k00', 'as', 'observed', 'recently', 'in', 'the', 'highresolution', 'arpes', 'studies', 'of', 'cuprate', 'antiferromagnets', 'are', 'shown', 'to', 'be', 'strongly', 'enhanced', 'by', 'finiteu', 'doubleoccupancy', 'effects', 'together', 'with', 'the', 'anomalous', 'spinwave', 'dispersion', 'observed', 'earlier', 'in', 'highresolution', 'neutronscattering', 'studies', 'the', 'present', 'study', 'provides', 'further', 'evidence', 'of', 'a', 'unified', 'description', 'of', 'magnetic', 'and', 'electronic', 'excitations', 'in', 'cuprate', 'antiferromagnets', 'in', 'terms', 'of', 'the', 'hubbard', 'model']] | [-0.14971634905203246, 0.1687879285123199, -0.06556272378191352, 0.1029899759835098, -0.035377439968287946, -0.11416243530809879, 0.06478980467421934, 0.3778838167898357, -0.2247303755255416, -0.2727434704452753, -0.02108736862661317, -0.3474523517861962, -0.11053471983002965, 0.17775834690313785, 0.0680782043049112, 0.029443441624753177, 0.0013162554800510407, -0.033591181207448244, -0.11806078247493133, -0.1688389782421291, 0.290742123182863, 0.05468901234213263, 0.3128111106064171, 0.08914860723540187, 0.004636441804468632, 0.04089247240219265, 0.05366448547458276, 0.01760952053591609, -0.19253060068003833, 0.08116124249063432, 0.2766122245416045, -0.08487811109051108, 0.1682869883812964, -0.4164526539482176, -0.27098934952169657, -0.03244996120687574, 0.20025351836840855, 0.1389117832807824, -0.049314442197792234, -0.28067457213997843, 0.013813524404540659, -0.17758745337370782, -0.13799753172846976, -0.0909710979834199, -0.04537166525609791, -0.007666015436407179, -0.21329178442712873, 0.14540430983528496, 0.05903471897356212, 0.0916607779962942, -0.12240555266384036, -0.12139866183279083, -0.1243799071176909, 0.024992531132884323, 0.08694920668378472, 0.061520078474422916, 0.053282851409167054, -0.13025154870469124, -0.1403538652136922, 0.3211090608686209, -0.08052351123653352, -0.047725426144897935, 0.12076780403964221, -0.2496945524169132, -0.10294891894329339, 0.14208096424117683, 0.08693908709392417, 0.0752923323214054, -0.12720138990320265, 0.11791525124688633, -0.04289880370371975, 0.15222176651237532, 0.0025392008153721692, 0.11711342338472605, 0.2519752555852756, 0.1921690943214344, -0.025454958863556386, 0.15614891831646674, -0.12993750999681652, -0.06626745907124132, -0.20720668353140353, -0.11319879425689577, -0.21337633052375168, 0.011410318738780916, -0.07418405917444033, -0.18907107484614244, 0.4128195693250746, 0.13508588370867072, 0.23125755619257687, -0.08866198987234383, 0.23123187948483973, 0.14904805782134645, 0.05627798386383802, 0.04931369550526142, 0.2714898483082652, 0.199514897367917, 0.11546332673402503, -0.3443034350639209, 0.02877661019942025, 0.05238735602702946] |
707.2268 | Lepton Polarization Asymmetry in B l l(bar) decays in R-parity violating
Minimal Supersymmetric Standard Model | We study the implication of R-parity violating Rp Minimal Supersymmetric
Standard Model (MSSM) model in lepton polarization asymmetry ALP in B l l(bar)
decays . The analysis show that the ALP is significant in a certain
phenomenological parametric region of Yukawa couplings. We have also placed
indirect bounds on Lambda' lambda couplings as obtained from B t t(bar).
| hep-ph | we study the implication of rparity violating rp minimal supersymmetric standard model mssm model in lepton polarization asymmetry alp in b l lbar decays the analysis show that the alp is significant in a certain phenomenological parametric region of yukawa couplings we have also placed indirect bounds on lambda lambda couplings as obtained from b t tbar | [['we', 'study', 'the', 'implication', 'of', 'rparity', 'violating', 'rp', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'model', 'in', 'lepton', 'polarization', 'asymmetry', 'alp', 'in', 'b', 'l', 'lbar', 'decays', 'the', 'analysis', 'show', 'that', 'the', 'alp', 'is', 'significant', 'in', 'a', 'certain', 'phenomenological', 'parametric', 'region', 'of', 'yukawa', 'couplings', 'we', 'have', 'also', 'placed', 'indirect', 'bounds', 'on', 'lambda', 'lambda', 'couplings', 'as', 'obtained', 'from', 'b', 't', 'tbar']] | [-0.13461707748080554, 0.2301854269350307, 0.04175355871975945, 0.17031723477575406, -0.10698425668504155, -0.2423046709920623, 0.09085008473221821, 0.28915803850906197, -0.20241707667969822, -0.2851469752362423, -0.05733269829866722, -0.2918451536495827, -0.024504570421158223, 0.11080003280617427, 0.08079789849682384, 0.064281197338316, 0.028922492450331908, 0.0062778268679322905, -0.030872351461367912, -0.19005958359329062, 0.19995654907012195, -0.008913317233683509, 0.13360412252184592, 0.09444861135265806, -0.031859944884975754, -0.0009328154111771207, -0.014440500912697692, -0.07102203673045886, -0.20093521337382794, 0.03427001602106254, 0.14571901495780862, 0.10580325083349619, 0.060739910311735514, -0.3079610356178723, -0.13207620582870094, 0.2358483914612678, 0.15348951907403635, 0.0347536090892135, -0.07118845661783493, -0.3260213211628102, 0.09507079020534691, -0.22645652631559132, -0.039066450457954614, -0.0497264038575323, 0.00881820082206998, -0.1231462281042089, -0.40750735604383964, 0.09999158510707498, 0.02604251006912244, 0.016959972320157186, 0.04398022799572924, -0.23220173273186542, -0.09062095987202044, -0.08980145503913886, 0.19654012178969488, 0.013148348896943947, 0.1758531282182064, -0.16943338994149185, -0.17390802564720312, 0.3823638015759602, -0.1720529930960191, -0.21146789412095882, 0.11592276556123245, -0.21516224910227352, -0.18767846190256246, 0.049141498057890615, 0.21266107253011382, 0.10862285057246163, -0.15800470743622436, 0.37518931500482977, -0.10690393476550908, 0.13274476768677695, 0.0728563096929799, 0.06364386055716559, 0.22569032328758845, 0.205452176356247, 0.06087040997992613, 0.06719514260297282, -0.07040076449987266, -0.056966712453255526, -0.5271808443623677, -0.09057415998949293, -0.05788481541043311, 0.06852435786481294, -0.1335386519990208, -0.07023879040743371, 0.3610855122995481, 0.13550449669230402, 0.27713822552182693, 0.010451082793766992, 0.2627706834147766, 0.06451176072413657, 0.08497965415294298, -0.03332730758477721, 0.3472278965882173, 0.13731375375860616, 0.07633492952670183, -0.26452530683998604, 0.004231206827649945, 0.06560513460518498] |
707.2269 | Gamma Ray and Neutrino Emission as a Probe of Relativistic Jets | Constraints on the dynamics, dissipation, and production of VHE neutrinos in
relativistic jets are derived using opacity calculations and VHE $\gamma$-ray
observations. In particular, it is demonstrated how rapid variability of the
$\gamma$-ray emission at very high energies ($> 100$ GeV) can be used to map
the location of the $\gamma$-spheres, to derive lower limits on the Doppler
factor of the $\gamma$-ray emission zone, and to constrain the photopion
production opacity. The apparent discrepancy between jet Lorentz factors
inferred from superluminal motions and source statistics in the TeV blazars and
those derived from the $\gamma$-ray emission is discussed. The relation to the
high-energy emission from the HST1 knot in M87 is briefly mentioned. Estimates
of neutrino yields in upcoming neutrino telescopes are given for various
sources. It is shown that for TeV blazars, the rapid variability of the TeV
emission implies neutrino yields well below detection limit.
| astro-ph | constraints on the dynamics dissipation and production of vhe neutrinos in relativistic jets are derived using opacity calculations and vhe gammaray observations in particular it is demonstrated how rapid variability of the gammaray emission at very high energies 100 gev can be used to map the location of the gammaspheres to derive lower limits on the doppler factor of the gammaray emission zone and to constrain the photopion production opacity the apparent discrepancy between jet lorentz factors inferred from superluminal motions and source statistics in the tev blazars and those derived from the gammaray emission is discussed the relation to the highenergy emission from the hst1 knot in m87 is briefly mentioned estimates of neutrino yields in upcoming neutrino telescopes are given for various sources it is shown that for tev blazars the rapid variability of the tev emission implies neutrino yields well below detection limit | [['constraints', 'on', 'the', 'dynamics', 'dissipation', 'and', 'production', 'of', 'vhe', 'neutrinos', 'in', 'relativistic', 'jets', 'are', 'derived', 'using', 'opacity', 'calculations', 'and', 'vhe', 'gammaray', 'observations', 'in', 'particular', 'it', 'is', 'demonstrated', 'how', 'rapid', 'variability', 'of', 'the', 'gammaray', 'emission', 'at', 'very', 'high', 'energies', '100', 'gev', 'can', 'be', 'used', 'to', 'map', 'the', 'location', 'of', 'the', 'gammaspheres', 'to', 'derive', 'lower', 'limits', 'on', 'the', 'doppler', 'factor', 'of', 'the', 'gammaray', 'emission', 'zone', 'and', 'to', 'constrain', 'the', 'photopion', 'production', 'opacity', 'the', 'apparent', 'discrepancy', 'between', 'jet', 'lorentz', 'factors', 'inferred', 'from', 'superluminal', 'motions', 'and', 'source', 'statistics', 'in', 'the', 'tev', 'blazars', 'and', 'those', 'derived', 'from', 'the', 'gammaray', 'emission', 'is', 'discussed', 'the', 'relation', 'to', 'the', 'highenergy', 'emission', 'from', 'the', 'hst1', 'knot', 'in', 'm87', 'is', 'briefly', 'mentioned', 'estimates', 'of', 'neutrino', 'yields', 'in', 'upcoming', 'neutrino', 'telescopes', 'are', 'given', 'for', 'various', 'sources', 'it', 'is', 'shown', 'that', 'for', 'tev', 'blazars', 'the', 'rapid', 'variability', 'of', 'the', 'tev', 'emission', 'implies', 'neutrino', 'yields', 'well', 'below', 'detection', 'limit']] | [-0.04189550011370588, 0.20488821816598546, -0.03665136263609446, 0.24768525707888706, -0.10149902161531921, -0.08042196201417466, 0.008592501808417528, 0.44397516692506855, -0.2121898509931333, -0.3576584868133068, 0.014470127673723318, -0.3122676850135984, 0.05668827566350328, 0.2842461443602525, 0.020470495727555504, 0.006653644841421267, 0.09656175184545332, -0.06796695510375089, -0.008507160840812942, -0.16057742787203913, 0.2730162752149948, 0.1955450785892277, 0.21519606043424072, 0.12734748741033777, 0.09296040537863456, -0.09879963421102228, -0.07632849348371784, -0.09132413206027885, -0.08723078811935607, 0.08631972630411901, 0.24143231713919547, 0.13857657023031136, 0.06680879322520923, -0.3186473766662951, -0.25033145730387707, 0.10128158908106531, 0.13843536686537594, 0.003793928984167247, -0.018631378225661042, -0.3318692178433311, 0.01867418703683331, -0.19887396791500264, -0.160531738047199, 0.06797661328495576, 0.01511093968975133, 0.02412600030094899, -0.18841006162833293, 0.10781749358143786, -0.035559912724420426, 0.029784969386096708, -0.09576181177098048, -0.07443267095689501, -0.016774292196275603, 0.03853203069804043, 0.1516490373824691, 0.03685672186186601, 0.17404452727240477, -0.1654605484696041, -0.1478849835629607, 0.4440063306869104, -0.060566693565262286, -0.029758342618829217, 0.18964100855177846, -0.25755159301233704, -0.22651219902688574, 0.23254576133451713, 0.17819391162102594, 0.04794408636617249, -0.17166671416208404, 0.031181023765660437, 0.002793423195594344, 0.1677545955950587, 0.05110265193828221, 0.06514874553500578, 0.25336588607009114, 0.1479170930909057, 0.04991409438501658, 0.08169205274737985, -0.2794780387157767, 0.019875731800907646, -0.3644014454864222, -0.03324466749768833, -0.15084736999164433, 0.12838380198508245, -0.1042380698823073, -0.05238208854269911, 0.3742685387216123, 0.12281306745356013, 0.19754851013582586, 0.024104883110728757, 0.28892736811319303, 0.14456056989729404, 0.04788202235539412, 0.1588460624667591, 0.4228720209721861, 0.1620475255097423, 0.12496707202417069, -0.2008536070537079, 0.06640785742743775, 0.0373202591925731] |
707.227 | Design of a Spherical Wrist with Parallel Architecture: Application to
Vertebrae of an Eel Robot | The design of a spherical wrist with parallel architecture is the object of
this article. This study is part of a larger project, which aims to design and
to build an eel robot for inspection of immersed piping. The kinematic analysis
of the mechanism is presented first to characterize the singular configurations
as well as the isotropic configurations. We add the design constraints related
to the application, such as (i) the compactness of the mechanism, (ii) the
symmetry of the elements in order to ensure static and dynamic balance and
(iii) the possibility of the mechanism to fill the elliptic form of the ell
sections.
| cs.RO | the design of a spherical wrist with parallel architecture is the object of this article this study is part of a larger project which aims to design and to build an eel robot for inspection of immersed piping the kinematic analysis of the mechanism is presented first to characterize the singular configurations as well as the isotropic configurations we add the design constraints related to the application such as i the compactness of the mechanism ii the symmetry of the elements in order to ensure static and dynamic balance and iii the possibility of the mechanism to fill the elliptic form of the ell sections | [['the', 'design', 'of', 'a', 'spherical', 'wrist', 'with', 'parallel', 'architecture', 'is', 'the', 'object', 'of', 'this', 'article', 'this', 'study', 'is', 'part', 'of', 'a', 'larger', 'project', 'which', 'aims', 'to', 'design', 'and', 'to', 'build', 'an', 'eel', 'robot', 'for', 'inspection', 'of', 'immersed', 'piping', 'the', 'kinematic', 'analysis', 'of', 'the', 'mechanism', 'is', 'presented', 'first', 'to', 'characterize', 'the', 'singular', 'configurations', 'as', 'well', 'as', 'the', 'isotropic', 'configurations', 'we', 'add', 'the', 'design', 'constraints', 'related', 'to', 'the', 'application', 'such', 'as', 'i', 'the', 'compactness', 'of', 'the', 'mechanism', 'ii', 'the', 'symmetry', 'of', 'the', 'elements', 'in', 'order', 'to', 'ensure', 'static', 'and', 'dynamic', 'balance', 'and', 'iii', 'the', 'possibility', 'of', 'the', 'mechanism', 'to', 'fill', 'the', 'elliptic', 'form', 'of', 'the', 'ell', 'sections']] | [-0.12430150081137462, 0.06079060842984334, -0.07122972719149576, 0.02138023223683593, -0.10915224239939735, -0.08273562623099202, 0.016928388624052916, 0.33754200225784664, -0.2684054924175143, -0.3258415717897671, 0.11463800546203164, -0.2444578442412118, -0.13753474382295583, 0.12464660475296634, -0.03613536696759097, 0.04573006142108213, 0.003380329580977559, 0.028143219119824824, -0.05731948322306077, -0.18255131193214938, 0.346865204491076, 0.09005446579484712, 0.26403001139295246, 0.049590898788578454, 0.08872448929718563, -0.0017748900467441195, -0.030305338442502987, -0.0052428129971736955, -0.12893390006252697, 0.1657225567315306, 0.23375614764656694, 0.12017769723066261, 0.23108684209929337, -0.3940343243202993, -0.13131366543294418, 0.08491884403462921, 0.11535595141439921, 0.08424756542358193, -0.020371275457243123, -0.24725308769515583, 0.1284866355403903, -0.1653058550453612, -0.1805752655141987, -0.05151615191384085, 0.01265254733374431, 0.03554005749922778, -0.2775820343710837, -0.021099311627802396, 0.12314512987643303, 0.0377705444603981, -0.09375437641338934, -0.0635077544310618, -0.0071518701124226765, 0.15241252743594702, 0.04730138068885675, 0.028403517051732965, 0.11963912690435315, -0.13375032792710478, -0.09515126813646584, 0.423529158295354, 0.00025183822227908034, -0.19619389261074718, 0.17323700936422462, -0.09249546705257325, -0.09122867762953753, 0.09535308777177263, 0.22945224658719132, 0.1446920575352297, -0.15765362725194013, 0.04415824779675209, -0.0003639346786907741, 0.1418626315714348, 0.01207768201517562, -0.004421115096747166, 0.17579480651544319, 0.21354404037729616, 0.07759368505683684, 0.18562039189883286, -0.1060257586694899, -0.07165131669580227, -0.3581787970537941, -0.1992863701035579, -0.12000261270662858, 0.02199540514432426, -0.040686396426948095, -0.1797280100662084, 0.4004107470202836, 0.13373061479415765, 0.23065358459772098, 0.01676830516440705, 0.3246898473107389, 0.0572478124040312, 0.08895055148750544, 0.030921107002844412, 0.24615022572910503, 0.09766584406385109, 0.11978715684797082, -0.24254450305542422, 0.04265226319964443, 0.05299160321952687] |
707.2271 | Entanglement magnification induced by local manipulations | We study the entanglement capability of the evolution of a pair of qubits
evolving under unitary dynamics, when the local dynamical parameters cannot be
modified during the time-evolution. Unlike the fast local control regime, we
find that local and non-local contributions to the dynamics are strictly
interconnected. Moreover, it is possible to strongly increase the entanglement
capability by suitably initializing the characteristic energies of the two
parties.
| quant-ph | we study the entanglement capability of the evolution of a pair of qubits evolving under unitary dynamics when the local dynamical parameters cannot be modified during the timeevolution unlike the fast local control regime we find that local and nonlocal contributions to the dynamics are strictly interconnected moreover it is possible to strongly increase the entanglement capability by suitably initializing the characteristic energies of the two parties | [['we', 'study', 'the', 'entanglement', 'capability', 'of', 'the', 'evolution', 'of', 'a', 'pair', 'of', 'qubits', 'evolving', 'under', 'unitary', 'dynamics', 'when', 'the', 'local', 'dynamical', 'parameters', 'can', 'not', 'be', 'modified', 'during', 'the', 'timeevolution', 'unlike', 'the', 'fast', 'local', 'control', 'regime', 'we', 'find', 'that', 'local', 'and', 'nonlocal', 'contributions', 'to', 'the', 'dynamics', 'are', 'strictly', 'interconnected', 'moreover', 'it', 'is', 'possible', 'to', 'strongly', 'increase', 'the', 'entanglement', 'capability', 'by', 'suitably', 'initializing', 'the', 'characteristic', 'energies', 'of', 'the', 'two', 'parties']] | [-0.14716909475871087, 0.2097312994301319, -0.08678051796467866, 0.0524334057169172, -0.00647988125531222, -0.15055723958272105, -0.019106365555404303, 0.3534020203275277, -0.3107371453729951, -0.27515421336626306, 0.056983530918574506, -0.24851712648181573, -0.13661718258278116, 0.16597759383319713, 0.017137375954702935, 0.06036002317662625, 0.0665750499431263, 0.036154997672009116, -0.08189552193524673, -0.2788385672713904, 0.3451058470904279, 0.06222145427840159, 0.28789152555605946, 0.024248718135983355, 0.06465543053277276, 0.022573844358489355, 0.02903060447972487, 0.04958840756786659, -0.10637934982953405, 0.0804959377136958, 0.20518801790004706, 0.1010592250728651, 0.28348129270050454, -0.45401731273159385, -0.21290818907265716, 0.13954675925539478, 0.12405135444885887, 0.14776253927266225, 0.008093717160484041, -0.28174093488932533, 0.0454355235595037, -0.1572290913284044, -0.15945466757779392, -0.0950296442161369, 0.013766625238692059, 0.039369232730036056, -0.27102051289779516, 0.09152369544950917, 0.0779347547705744, -0.015202182797057665, -0.00958713744630051, 0.05132998897255782, -0.04888271729407065, 0.15220952576226623, -0.016445163243641966, -0.025799162298961377, 0.18769756801809898, -0.12499947466558832, -0.08354418187895242, 0.3137753094505409, -0.07273116763783893, -0.20228121778585345, 0.22032406997373877, -0.13557562918867916, -0.09572681646985824, 0.10419840287581525, 0.12843841695747174, 0.10704817985884695, -0.17835460583827464, 0.07043290456931572, 7.16382432181169e-05, 0.17944099077516618, -0.00037875679075060524, 0.10031999730477657, 0.19084376482950413, 0.10146856611005634, 0.11188949495280053, 0.1546429519812056, -0.05696964292677448, -0.17904910212468272, -0.2993646760964218, -0.13075902197948275, -0.19424492385074058, 0.072885866420941, -0.08053447428713245, -0.0883037652957308, 0.4631868486347444, 0.12114082370809388, 0.18325093524147043, 0.037820912870194984, 0.2662739770158249, 0.13183574141551027, 0.07280752840725814, 0.09321863355580717, 0.2727566390462658, 0.1083663497976137, 0.05575658235808506, -0.33472075064748746, 0.07949063276892583, 0.04362983542138382] |
707.2272 | Applying the Principles of Augmented Learning to Photonics Laboratory
Work | This paper introduces "OPTOTEACH", a new teaching system for photonics lab
work, designed by Harz University and successfully released on the German
market by HarzOptics. OPTOTEACH is the first POF-WDM teaching system,
specifically designed to cover a multitude of lab experiments in the field of
optical communication technology.
It is illustrated, how this lab system is supplemented by a newly developed
optical teaching software - "OPTOSOFT" - and how the combination of system and
software creates a unique augmented learning environment. The paper details,
how the didactic concept for the software was conceptualised and introduces the
latest beta version. OPTOSOFT is specifically designed not only as an
attachment to OPTOTEACH, it also allows students to rehearse various aspects of
theoretical optics and experience a fully interactive and feature-rich
self-learning environment.
The paper further details the first experiences educators at Harz University
have made working with the lab system as well as the teaching software. So far,
the augmented learning concept was received mostly positive, although there is
some potential for further optimisation concerning integration and pacing of
various interactive modules.
| physics.optics physics.pop-ph | this paper introduces optoteach a new teaching system for photonics lab work designed by harz university and successfully released on the german market by harzoptics optoteach is the first pofwdm teaching system specifically designed to cover a multitude of lab experiments in the field of optical communication technology it is illustrated how this lab system is supplemented by a newly developed optical teaching software optosoft and how the combination of system and software creates a unique augmented learning environment the paper details how the didactic concept for the software was conceptualised and introduces the latest beta version optosoft is specifically designed not only as an attachment to optoteach it also allows students to rehearse various aspects of theoretical optics and experience a fully interactive and featurerich selflearning environment the paper further details the first experiences educators at harz university have made working with the lab system as well as the teaching software so far the augmented learning concept was received mostly positive although there is some potential for further optimisation concerning integration and pacing of various interactive modules | [['this', 'paper', 'introduces', 'optoteach', 'a', 'new', 'teaching', 'system', 'for', 'photonics', 'lab', 'work', 'designed', 'by', 'harz', 'university', 'and', 'successfully', 'released', 'on', 'the', 'german', 'market', 'by', 'harzoptics', 'optoteach', 'is', 'the', 'first', 'pofwdm', 'teaching', 'system', 'specifically', 'designed', 'to', 'cover', 'a', 'multitude', 'of', 'lab', 'experiments', 'in', 'the', 'field', 'of', 'optical', 'communication', 'technology', 'it', 'is', 'illustrated', 'how', 'this', 'lab', 'system', 'is', 'supplemented', 'by', 'a', 'newly', 'developed', 'optical', 'teaching', 'software', 'optosoft', 'and', 'how', 'the', 'combination', 'of', 'system', 'and', 'software', 'creates', 'a', 'unique', 'augmented', 'learning', 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707.2273 | Pseudospherical surfaces on time scales: a geometric definition and the
spectral approach | We define and discuss the notion of pseudospherical surfaces in asymptotic
coordinates on time scales. Thus we extend well known notions of discrete
pseudospherical surfaces and smooth pseudosperical surfaces on more exotic
domains (e.g, the Cantor set). In particular, we present a new expression for
the discrete Gaussian curvature which turns out to be valid for asymptotic nets
on any time scale. We show that asymptotic Chebyshev nets on an arbitrary time
scale have constant negative Gaussian curvature. We present also the
quaternion-valued spectral problem (the Lax pair) and the Darboux-Backlund
transformation for pseudospherical surfaces (in asymptotic coordinates) on
arbitrary time scales.
| math.DG nlin.SI | we define and discuss the notion of pseudospherical surfaces in asymptotic coordinates on time scales thus we extend well known notions of discrete pseudospherical surfaces and smooth pseudosperical surfaces on more exotic domains eg the cantor set in particular we present a new expression for the discrete gaussian curvature which turns out to be valid for asymptotic nets on any time scale we show that asymptotic chebyshev nets on an arbitrary time scale have constant negative gaussian curvature we present also the quaternionvalued spectral problem the lax pair and the darbouxbacklund transformation for pseudospherical surfaces in asymptotic coordinates on arbitrary time scales | [['we', 'define', 'and', 'discuss', 'the', 'notion', 'of', 'pseudospherical', 'surfaces', 'in', 'asymptotic', 'coordinates', 'on', 'time', 'scales', 'thus', 'we', 'extend', 'well', 'known', 'notions', 'of', 'discrete', 'pseudospherical', 'surfaces', 'and', 'smooth', 'pseudosperical', 'surfaces', 'on', 'more', 'exotic', 'domains', 'eg', 'the', 'cantor', 'set', 'in', 'particular', 'we', 'present', 'a', 'new', 'expression', 'for', 'the', 'discrete', 'gaussian', 'curvature', 'which', 'turns', 'out', 'to', 'be', 'valid', 'for', 'asymptotic', 'nets', 'on', 'any', 'time', 'scale', 'we', 'show', 'that', 'asymptotic', 'chebyshev', 'nets', 'on', 'an', 'arbitrary', 'time', 'scale', 'have', 'constant', 'negative', 'gaussian', 'curvature', 'we', 'present', 'also', 'the', 'quaternionvalued', 'spectral', 'problem', 'the', 'lax', 'pair', 'and', 'the', 'darbouxbacklund', 'transformation', 'for', 'pseudospherical', 'surfaces', 'in', 'asymptotic', 'coordinates', 'on', 'arbitrary', 'time', 'scales']] | [-0.1589435747130728, 0.08415987536828103, -0.11811669174544882, 0.1290552789520583, -0.08411788936971806, -0.1372565488506219, 0.003914457722797547, 0.39899704550014864, -0.2656089521225284, -0.20990914034445096, 0.10817784541355686, -0.22699239852810554, -0.1786801340611707, 0.19149899202408177, -0.08768693758820248, 0.08677585954123204, -0.013184553579344312, 0.045492406565659116, -0.11461549027048347, -0.2470648350507611, 0.39439936059683856, -0.004508955238184126, 0.2338917706585904, 0.04611851937958215, 0.1623639073591716, -0.00576705108442814, -0.04018227953353141, 0.009740111252090127, -0.17675769160045507, 0.08147479264448296, 0.20780254781965424, 0.0581385921271942, 0.2031447816972095, -0.43230842337897507, -0.21483271325809308, 0.1561989674245533, 0.13426219682842563, 0.09009130438443937, -0.0006232431101080233, -0.2892442878040642, 0.04001710431576513, -0.08634775127560859, -0.16985100945273396, -0.1262260804651305, 0.04282575783015478, 0.035380195427483115, -0.20973989760991887, 0.06804340533746636, 0.10104466404069658, 0.08055266866110045, -0.0812064957906409, -0.10296485175598773, -0.007267385299345202, 0.05998489115442528, 0.018326822327136404, -0.020705743190269955, 0.03944321787261432, -0.036990843243011745, -0.09584934298308695, 0.33544161554315305, -0.08697671207165954, -0.31897778139624855, 0.14778995773257078, -0.13629586582468584, -0.15077950748716398, 0.08730626524204739, 0.2166353373576214, 0.1973870131486824, -0.09914925628996427, 0.15868343684723196, -0.041788503573746374, 0.1305199064738532, 0.16622542955055095, 0.023248356213161517, 0.1485895725004006, 0.082406739914089, 0.11823129492332365, 0.1606672114616555, -0.07161328115380637, -0.12237688576535202, -0.3688091981307705, -0.2063211170071275, -0.17102988977169636, 0.07197215219055957, -0.1642125129861363, -0.22925657163014507, 0.38839281339309, 0.0785634792824783, 0.20522167204561098, 0.181409128832096, 0.21196105687805258, 0.09190618429269001, 0.03656832318485594, 0.09720160346478224, 0.1516321115149646, 0.10183285933338326, 0.06232449324285187, -0.14630890847183764, -0.004790399048366759, 0.1503152973756268] |
707.2274 | Universal spectral correlations from the ballistic sigma model | We consider the semiclassical ballistic sigma-model as an effective theory
describing the quantum mechanics of classically chaotic systems. Specifically,
we elaborate on close analogies to the recently developed semiclassical theory
of quantum interference in chaotic systems and show how semiclassical
'diagrams' involving near action degenerate sets of periodic orbits emerge in
the field theoretical description. We further discuss how the universality
phenomenon (i.e. the fact that individual chaotic systems behave according to
the prescriptions of random matrix theory) can be understood from the
perspective of the field theory.
| nlin.CD cond-mat.mes-hall | we consider the semiclassical ballistic sigmamodel as an effective theory describing the quantum mechanics of classically chaotic systems specifically we elaborate on close analogies to the recently developed semiclassical theory of quantum interference in chaotic systems and show how semiclassical diagrams involving near action degenerate sets of periodic orbits emerge in the field theoretical description we further discuss how the universality phenomenon ie the fact that individual chaotic systems behave according to the prescriptions of random matrix theory can be understood from the perspective of the field theory | [['we', 'consider', 'the', 'semiclassical', 'ballistic', 'sigmamodel', 'as', 'an', 'effective', 'theory', 'describing', 'the', 'quantum', 'mechanics', 'of', 'classically', 'chaotic', 'systems', 'specifically', 'we', 'elaborate', 'on', 'close', 'analogies', 'to', 'the', 'recently', 'developed', 'semiclassical', 'theory', 'of', 'quantum', 'interference', 'in', 'chaotic', 'systems', 'and', 'show', 'how', 'semiclassical', 'diagrams', 'involving', 'near', 'action', 'degenerate', 'sets', 'of', 'periodic', 'orbits', 'emerge', 'in', 'the', 'field', 'theoretical', 'description', 'we', 'further', 'discuss', 'how', 'the', 'universality', 'phenomenon', 'ie', 'the', 'fact', 'that', 'individual', 'chaotic', 'systems', 'behave', 'according', 'to', 'the', 'prescriptions', 'of', 'random', 'matrix', 'theory', 'can', 'be', 'understood', 'from', 'the', 'perspective', 'of', 'the', 'field', 'theory']] | [-0.14768068013786848, 0.18858694872142223, -0.1388821584947767, 0.1388151722706177, -0.004436234562573108, -0.16499609641984783, 0.03160844060899266, 0.2891026703979481, -0.2888628015855581, -0.22455214283069258, 0.026906745082338934, -0.2743243802106008, -0.2850115292345766, 0.18702757401346884, -0.09102953602004246, 0.06327119797722182, 0.025342192560360258, 0.06343170021401337, -0.08326056487170387, -0.19595260215679777, 0.33703268613581633, 0.02127818149066033, 0.26980878618037835, -0.0035941406491805205, 0.04304250937473791, 0.02770107225197452, 0.035101329024076804, 0.04295221109805425, -0.14689874650412094, 0.10607842716060324, 0.2143191568426449, 0.0762040162067437, 0.203851532635533, -0.49311907394704496, -0.2575920313564976, 0.04428071687685919, 0.16469966064753613, 0.17990755232643674, -0.0002657769324617799, -0.3043456127740104, 0.0406162678793242, -0.1655850067565387, -0.2081943160102872, -0.1102856817861638, -0.011420184082288126, -0.022252242419530045, -0.17366972799010744, 0.0835022506689711, 0.07287430579096756, 0.0565690639655672, -0.03438714883867016, -0.02762745865832337, 0.023330495846246115, 0.1378164486324584, 0.027357289804389107, -0.019301398603023368, 0.1441440652389164, -0.11982598594940183, -0.17916575266413434, 0.39269447212361475, -0.05106923887929456, -0.1949392272513664, 0.2035501292081211, -0.17116474528963657, -0.1301424163023264, 0.06592048719440671, 0.17679797356884758, 0.11425089879511771, -0.13976047580680726, 0.16370327942091867, -0.0389455397486348, 0.0919464942893352, 0.039561315936266925, 0.08336699428036809, 0.27012235938507895, 0.11261945106724108, -0.0035606705509549515, 0.1084592181922, -0.005504388915142044, -0.2658380598189648, -0.31485694189640606, -0.0754146924274127, -0.15531876691172578, 0.11909690903055227, -0.06323066331556633, -0.22516030723504213, 0.3680469714189795, 0.20305885094620119, 0.1798227086080508, 0.008918240827783435, 0.2466560332474976, 0.18363665879455351, -0.02480969400229779, -0.000721680915872143, 0.26845542995777744, 0.18923624262838115, 0.0635829487053508, -0.24343490116668612, -0.07586419528657147, 0.1070114561906931] |
707.2275 | Passive Control Architecture for Virtual Humans | In the present paper, we introduce a new control architecture aimed at
driving virtual humans in interaction with virtual environments, by motion
capture. It brings decoupling of functionalities, and also of stability thanks
to passivity. We show projections can break passivity, and thus must be used
carefully. Our control scheme enables task space and internal control, contact,
and joint limits management. Thanks to passivity, it can be easily extended.
Besides, we introduce a new tool as for manikin's control, which makes it able
to build passive projections, so as to guide the virtual manikin when sharp
movements are needed.
| cs.RO | in the present paper we introduce a new control architecture aimed at driving virtual humans in interaction with virtual environments by motion capture it brings decoupling of functionalities and also of stability thanks to passivity we show projections can break passivity and thus must be used carefully our control scheme enables task space and internal control contact and joint limits management thanks to passivity it can be easily extended besides we introduce a new tool as for manikins control which makes it able to build passive projections so as to guide the virtual manikin when sharp movements are needed | [['in', 'the', 'present', 'paper', 'we', 'introduce', 'a', 'new', 'control', 'architecture', 'aimed', 'at', 'driving', 'virtual', 'humans', 'in', 'interaction', 'with', 'virtual', 'environments', 'by', 'motion', 'capture', 'it', 'brings', 'decoupling', 'of', 'functionalities', 'and', 'also', 'of', 'stability', 'thanks', 'to', 'passivity', 'we', 'show', 'projections', 'can', 'break', 'passivity', 'and', 'thus', 'must', 'be', 'used', 'carefully', 'our', 'control', 'scheme', 'enables', 'task', 'space', 'and', 'internal', 'control', 'contact', 'and', 'joint', 'limits', 'management', 'thanks', 'to', 'passivity', 'it', 'can', 'be', 'easily', 'extended', 'besides', 'we', 'introduce', 'a', 'new', 'tool', 'as', 'for', 'manikins', 'control', 'which', 'makes', 'it', 'able', 'to', 'build', 'passive', 'projections', 'so', 'as', 'to', 'guide', 'the', 'virtual', 'manikin', 'when', 'sharp', 'movements', 'are', 'needed']] | [-0.0888294971035323, 0.1092796174696449, -0.13138454526455867, 0.06167777821967246, -0.14709983587340272, -0.181831970961407, 0.07004776130773767, 0.42389798540659623, -0.30789966751454456, -0.349689422231732, 0.10056282895278525, -0.1682369760707999, -0.19051639241815516, 0.18984328488809893, -0.13372233869846573, 0.07944661607810606, 0.02495394120195109, -0.02399364042312208, 0.01883107692364402, -0.19473289822538695, 0.3027228570138716, 0.04416441955518993, 0.283262650275396, 0.04537093682176988, 0.1123981264589185, 0.05346733185749576, -0.007460633311608825, 0.0004132309728043361, -0.07428378628265828, 0.1545591193046703, 0.2831054525455752, 0.14170171701433984, 0.2975559341862346, -0.4450468972250067, -0.17877443989908154, 0.0735717954871367, 0.17786222499221413, 0.10163359110586985, -0.042593326269075124, -0.3041150032570868, 0.10547458998049901, -0.19110272408726464, -0.13395724673238066, -0.18981609942692548, -0.040125614257924484, 0.018896776529010197, -0.27098974647621316, -0.05200094847400165, 0.033852873793379826, 0.023251828206044555, -0.05082296305618277, 0.008702264454291023, -0.008200765445251066, 0.2084656944536637, -0.028511566458025363, 0.00421314116101712, 0.16098495962737938, -0.0859473008907052, -0.11106590029661252, 0.4065987075387378, -0.022102890926591977, -0.24701648900482917, 0.242886809392296, -0.0656055509385587, -0.13500612901965853, 0.10472944893432085, 0.21619458340879794, 0.07205186125756514, -0.200853683834812, 0.03111535329677428, 0.051984764927189155, 0.16285420510673312, 0.0040678087236228015, 0.051462738149131486, 0.1793549634896059, 0.19362379498356444, 0.15309465352464655, 0.17447135197422045, -0.06772507888834095, -0.07493953482304333, -0.26871466252839926, -0.162823040766237, -0.08356442776181726, 0.011419851196497077, -0.012157969211458671, -0.07925600822629275, 0.33389832774032996, 0.2194985897101537, 0.16817444349601487, 0.08172450647007373, 0.33660271491225097, 0.0979095625942761, 0.12308359267472317, 0.08284567001997728, 0.24017971332627114, 0.0710137040575383, 0.13688785793974695, -0.19779457495021022, 0.07786135616326573, 0.043067097612139255] |
707.2276 | Semiclassical Approach to Parametric Spectral Correlation with Spin 1/2 | The spectral correlation of a chaotic system with spin 1/2 is universally
described by the GSE (Gaussian Symplectic Ensemble) of random matrices in the
semiclassical limit. In semiclassical theory, the spectral form factor is
expressed in terms of the periodic orbits and the spin state is simulated by
the uniform distribution on a sphere. In this paper, instead of the uniform
distribution, we introduce Brownian motion on a sphere to yield the parametric
motion of the energy levels. As a result, the small time expansion of the form
factor is obtained and found to be in agreement with the prediction of
parametric random matrices in the transition within the GSE universality class.
Moreover, by starting the Brownian motion from a point distribution on the
sphere, we gradually increase the effect of the spin and calculate the form
factor describing the transition from the GOE (Gaussian Orthogonal Ensemble)
class to the GSE class.
| nlin.CD | the spectral correlation of a chaotic system with spin 12 is universally described by the gse gaussian symplectic ensemble of random matrices in the semiclassical limit in semiclassical theory the spectral form factor is expressed in terms of the periodic orbits and the spin state is simulated by the uniform distribution on a sphere in this paper instead of the uniform distribution we introduce brownian motion on a sphere to yield the parametric motion of the energy levels as a result the small time expansion of the form factor is obtained and found to be in agreement with the prediction of parametric random matrices in the transition within the gse universality class moreover by starting the brownian motion from a point distribution on the sphere we gradually increase the effect of the spin and calculate the form factor describing the transition from the goe gaussian orthogonal ensemble class to the gse class | [['the', 'spectral', 'correlation', 'of', 'a', 'chaotic', 'system', 'with', 'spin', '12', 'is', 'universally', 'described', 'by', 'the', 'gse', 'gaussian', 'symplectic', 'ensemble', 'of', 'random', 'matrices', 'in', 'the', 'semiclassical', 'limit', 'in', 'semiclassical', 'theory', 'the', 'spectral', 'form', 'factor', 'is', 'expressed', 'in', 'terms', 'of', 'the', 'periodic', 'orbits', 'and', 'the', 'spin', 'state', 'is', 'simulated', 'by', 'the', 'uniform', 'distribution', 'on', 'a', 'sphere', 'in', 'this', 'paper', 'instead', 'of', 'the', 'uniform', 'distribution', 'we', 'introduce', 'brownian', 'motion', 'on', 'a', 'sphere', 'to', 'yield', 'the', 'parametric', 'motion', 'of', 'the', 'energy', 'levels', 'as', 'a', 'result', 'the', 'small', 'time', 'expansion', 'of', 'the', 'form', 'factor', 'is', 'obtained', 'and', 'found', 'to', 'be', 'in', 'agreement', 'with', 'the', 'prediction', 'of', 'parametric', 'random', 'matrices', 'in', 'the', 'transition', 'within', 'the', 'gse', 'universality', 'class', 'moreover', 'by', 'starting', 'the', 'brownian', 'motion', 'from', 'a', 'point', 'distribution', 'on', 'the', 'sphere', 'we', 'gradually', 'increase', 'the', 'effect', 'of', 'the', 'spin', 'and', 'calculate', 'the', 'form', 'factor', 'describing', 'the', 'transition', 'from', 'the', 'goe', 'gaussian', 'orthogonal', 'ensemble', 'class', 'to', 'the', 'gse', 'class']] | [-0.09800934112373445, 0.1525966754170919, -0.08620577208670224, 0.03287978827460105, 0.02640859937026251, -0.054114510495166634, 0.038080014761745634, 0.3420472859503015, -0.2621673533607176, -0.2663056629458687, 0.06631868136096991, -0.26022764237744633, -0.13150316266048895, 0.15692002149788956, -0.022330765770196815, 0.07250517748271752, 0.04086606982807433, 0.06589779628082301, -0.09865860913659592, -0.1731088348330415, 0.3373941097341135, 0.05591574647941774, 0.28887310252819015, -0.04608197391989004, 0.09285233969919653, 0.030235930223410066, 0.009509549365918102, 0.00917629368976984, -0.11301402582811486, 0.10825987904651188, 0.17064310851702957, 0.031032204894520538, 0.2152961817980548, -0.3651251173823288, -0.21589299280649835, 0.09921003383964203, 0.13102309659926073, 0.0890426567501364, 0.0033334679074438385, -0.3004140471671953, 0.030082883276535494, -0.17227706153828062, -0.1924911042611041, -0.045639447604404075, -0.0066010013443270794, 0.0456319334794228, -0.2756172617542018, 0.12713810577866083, 0.12281175714604997, 0.025697321225666918, -0.03359769476504114, -0.11582125134468936, 0.030779162821617273, 0.10574673491493358, 0.03150862895448594, 0.03274425317833543, 0.1499665912522591, -0.11327103189787043, -0.09176340284964106, 0.3845440285689332, -0.12365328132153464, -0.24818090511191832, 0.1187870929072807, -0.20796592449646836, -0.09585862092698287, 0.1582303864967176, 0.15775443584425375, 0.08604291798608181, -0.14453315121231994, 0.10527092343282245, -0.042543226237237254, 0.13547917715320518, 0.07123717306776119, -0.0033356145665828464, 0.2024961536884994, 0.1157992442313116, 0.05503761029716483, 0.16189999966560495, -0.11621502104466536, -0.20043941109140992, -0.2852746446028744, -0.1270634471928995, -0.25349981207278016, 0.11336308920075872, -0.13953067246860118, -0.20947711076587439, 0.4100880118800744, 0.08844002983287762, 0.23478465831201328, 0.08790480158610367, 0.21183037883173184, 0.19498337250077288, 0.012669651802800792, 0.061115912250610756, 0.21511078907305523, 0.1644994797166682, 0.06093592759785488, -0.2132895921056747, 0.02123205776105782, 0.08415802160130911] |
707.2277 | On the two-loop contributions to the pion mass | We derive a simplified representation for the pion mass to two loops in
three-flavour chiral perturbation theory. For this purpose, we first determine
the reduced expressions for the tensorial two-loop 2-point sunset integrals
arising in chiral perturbation theory calculations. Making use of those
relations, we obtain the expression for the pion mass in terms of the minimal
set of master integrals. On the basis of known results for these, we arrive at
an explicit analytic representation, up to the contribution from K-K-eta
intermediate states where a closed-form expression for the corresponding sunset
integral is missing. However, the expansion of this function for a small pion
mass leads to a simple representation which yields a very accurate
approximation of this contribution. Finally, we also give a discussion of the
numerical implications of our results.
| hep-ph | we derive a simplified representation for the pion mass to two loops in threeflavour chiral perturbation theory for this purpose we first determine the reduced expressions for the tensorial twoloop 2point sunset integrals arising in chiral perturbation theory calculations making use of those relations we obtain the expression for the pion mass in terms of the minimal set of master integrals on the basis of known results for these we arrive at an explicit analytic representation up to the contribution from kketa intermediate states where a closedform expression for the corresponding sunset integral is missing however the expansion of this function for a small pion mass leads to a simple representation which yields a very accurate approximation of this contribution finally we also give a discussion of the numerical implications of our results | [['we', 'derive', 'a', 'simplified', 'representation', 'for', 'the', 'pion', 'mass', 'to', 'two', 'loops', 'in', 'threeflavour', 'chiral', 'perturbation', 'theory', 'for', 'this', 'purpose', 'we', 'first', 'determine', 'the', 'reduced', 'expressions', 'for', 'the', 'tensorial', 'twoloop', '2point', 'sunset', 'integrals', 'arising', 'in', 'chiral', 'perturbation', 'theory', 'calculations', 'making', 'use', 'of', 'those', 'relations', 'we', 'obtain', 'the', 'expression', 'for', 'the', 'pion', 'mass', 'in', 'terms', 'of', 'the', 'minimal', 'set', 'of', 'master', 'integrals', 'on', 'the', 'basis', 'of', 'known', 'results', 'for', 'these', 'we', 'arrive', 'at', 'an', 'explicit', 'analytic', 'representation', 'up', 'to', 'the', 'contribution', 'from', 'kketa', 'intermediate', 'states', 'where', 'a', 'closedform', 'expression', 'for', 'the', 'corresponding', 'sunset', 'integral', 'is', 'missing', 'however', 'the', 'expansion', 'of', 'this', 'function', 'for', 'a', 'small', 'pion', 'mass', 'leads', 'to', 'a', 'simple', 'representation', 'which', 'yields', 'a', 'very', 'accurate', 'approximation', 'of', 'this', 'contribution', 'finally', 'we', 'also', 'give', 'a', 'discussion', 'of', 'the', 'numerical', 'implications', 'of', 'our', 'results']] | [-0.12454021788601365, 0.09658159578713164, -0.1199904815433897, 0.1312415257596964, -0.06667347220858012, -0.026862842352934797, 0.0741238941856891, 0.30707743258698655, -0.18386194118144536, -0.25416410538627016, 0.06393610426361315, -0.2697134208725415, -0.1686120425645066, 0.19219761037204722, 0.013707134471786089, 0.026471057570630445, 0.06985965761517111, 0.08963881258999831, -0.13958802843760504, -0.19825581813588233, 0.32427518492690605, 0.0053120639308222705, 0.20150760759396436, 0.11192489352385353, 0.11072075654423438, 0.02658173532743371, -0.0643579767582784, -0.05482918127348885, -0.165695150270778, 0.15744110264533542, 0.23900572860375383, 0.05465484012086365, 0.17685192182540405, -0.4128320494988807, -0.13525088769698837, 0.04643128750779267, 0.1614376282077843, 0.18550896226985142, -0.04670683362895861, -0.2226671506650746, 0.06593981687035552, -0.23527249286329388, -0.20159048749014905, -0.14169459244502441, 0.01527006229161656, -0.05014726690181244, -0.33347148093906115, 0.09626710958777983, -0.01738291256185761, 0.0304110605068679, -0.09674012792975943, -0.159897105892616, 0.03934377273964815, 0.15414530689709058, 0.061166295279307586, 0.03312060357022442, 0.06786576818842861, -0.17885092585137521, -0.0770231590735817, 0.3839486764141716, -0.0802642439244336, -0.2241749507550122, 0.11284335297567391, -0.1580835840668305, -0.1642271242405575, 0.14221187947051867, 0.16233225679375174, 0.12495679256009092, -0.1971266092802573, 0.08786857325611706, -0.04301213198236393, 0.1082797051228835, 0.08363918446816672, 0.004562212644438995, 0.15811144236713312, 0.11892301212169958, 0.017405527902949126, 0.14191335481346437, -0.04388782309011129, -0.1118920127059424, -0.3999615507410433, -0.1340604727059083, -0.13649748633370587, 0.06654261385923937, -0.12227157066765248, -0.20623787030353583, 0.4031096931714985, 0.14781590497919492, 0.2114748056921968, 0.13257798086939365, 0.30178612161819873, 0.19295479483559774, 0.05855190121967878, 0.03172151213581849, 0.21701790788385988, 0.17170229849153498, 0.06711299977566403, -0.21534325895109738, -0.024671454127891956, 0.14931132762755892] |
707.2278 | Non-Markovian entanglement dynamics of noisy continuous variable quantum
channels | We investigate the entanglement dynamics of continuous-variable quantum
channels in terms of an entangled squeezed state of two cavity fields in a
general non-Markovian environment. Using the Feynman-Vernon influence
functional theory in the coherent-state representation, we derive an exact
master equation with time-dependent coefficients reflecting the non-Markovian
influence of the environment. The influence of environments with different
spectral densities, e.g., Ohmic, sub-Ohmic, and super-Ohmic, is numerically
studied. The non-Markovian process shows its remarkable influences on the
entanglement dynamics due to the sensitive time-dependence of the dissipation
and noise functions within the typical time scale of the environment. The Ohmic
environment shows a weak dissipation-noise effect on the entanglement dynamics,
while the sub-Ohmic and super-Ohmic environments induce much more severe noise.
In particular, the memory of the system interacting with the environment
contributes a strong decoherence effect to the entanglement dynamics in the
super-Ohmic case.
| quant-ph | we investigate the entanglement dynamics of continuousvariable quantum channels in terms of an entangled squeezed state of two cavity fields in a general nonmarkovian environment using the feynmanvernon influence functional theory in the coherentstate representation we derive an exact master equation with timedependent coefficients reflecting the nonmarkovian influence of the environment the influence of environments with different spectral densities eg ohmic subohmic and superohmic is numerically studied the nonmarkovian process shows its remarkable influences on the entanglement dynamics due to the sensitive timedependence of the dissipation and noise functions within the typical time scale of the environment the ohmic environment shows a weak dissipationnoise effect on the entanglement dynamics while the subohmic and superohmic environments induce much more severe noise in particular the memory of the system interacting with the environment contributes a strong decoherence effect to the entanglement dynamics in the superohmic case | [['we', 'investigate', 'the', 'entanglement', 'dynamics', 'of', 'continuousvariable', 'quantum', 'channels', 'in', 'terms', 'of', 'an', 'entangled', 'squeezed', 'state', 'of', 'two', 'cavity', 'fields', 'in', 'a', 'general', 'nonmarkovian', 'environment', 'using', 'the', 'feynmanvernon', 'influence', 'functional', 'theory', 'in', 'the', 'coherentstate', 'representation', 'we', 'derive', 'an', 'exact', 'master', 'equation', 'with', 'timedependent', 'coefficients', 'reflecting', 'the', 'nonmarkovian', 'influence', 'of', 'the', 'environment', 'the', 'influence', 'of', 'environments', 'with', 'different', 'spectral', 'densities', 'eg', 'ohmic', 'subohmic', 'and', 'superohmic', 'is', 'numerically', 'studied', 'the', 'nonmarkovian', 'process', 'shows', 'its', 'remarkable', 'influences', 'on', 'the', 'entanglement', 'dynamics', 'due', 'to', 'the', 'sensitive', 'timedependence', 'of', 'the', 'dissipation', 'and', 'noise', 'functions', 'within', 'the', 'typical', 'time', 'scale', 'of', 'the', 'environment', 'the', 'ohmic', 'environment', 'shows', 'a', 'weak', 'dissipationnoise', 'effect', 'on', 'the', 'entanglement', 'dynamics', 'while', 'the', 'subohmic', 'and', 'superohmic', 'environments', 'induce', 'much', 'more', 'severe', 'noise', 'in', 'particular', 'the', 'memory', 'of', 'the', 'system', 'interacting', 'with', 'the', 'environment', 'contributes', 'a', 'strong', 'decoherence', 'effect', 'to', 'the', 'entanglement', 'dynamics', 'in', 'the', 'superohmic', 'case']] | [-0.18635610384146936, 0.1690902228036104, -0.09123854824322296, 0.07869397635273548, 0.04791144646339483, -0.14874915121338114, 0.010776441335886509, 0.3601790897001128, -0.24238829485179816, -0.24440446410692865, 0.030725978607136002, -0.24584664374433615, -0.14286280572707472, 0.18535865802428575, -0.022741263193384438, 0.033546083575844036, 0.05487565035684282, 0.03465999665969683, -0.03301170381710871, -0.19738627390095873, 0.33354611472402523, 0.07532359233005559, 0.3044803071900603, 0.059552522275232146, 0.10013655954776528, 0.000129424821963156, 0.01666821614379988, -0.025080719949690612, -0.10322428389511012, 0.008239750108857464, 0.17476455153656434, 0.010381564312334453, 0.2972334250547252, -0.4786573997145141, -0.25999474405942785, 0.08663123967272549, 0.09627182007524253, 0.16326940509204108, 0.0002937811214950626, -0.35479395103093786, -0.07515776700867743, -0.18606105932015013, -0.1218286520586564, -0.04295809041396096, 0.029309914370842436, -0.001732941655445375, -0.24341571609118393, 0.15642881283367222, 0.05460727324145944, 0.02452680278387103, -0.03209328522231638, -0.015436878084315807, -0.004583085252141411, 0.15157261449425202, -0.028013654269963516, -0.045351714807582065, 0.2393812422503854, -0.21421780129829487, -0.04895521360905385, 0.3422824310112771, -0.12639524069797065, -0.22980699492813825, 0.24548450951184425, -0.17920313001825258, -0.08550881306067683, 0.09487956398251382, 0.17173754248012613, 0.10016952483699872, -0.18796318665902306, 0.10920823100910333, 0.04326216440071463, 0.15921684645012124, -0.018463953181619308, 0.16874868165371107, 0.14435651384528492, 0.1399665672146435, 0.028942080468616703, 0.2612447540236676, -0.05113306482423462, -0.1925053543189762, -0.2533107811806502, -0.11646125641068561, -0.19437179327909868, 0.11456280871173546, -0.1453778983996017, -0.14915215160854003, 0.4280569101097648, 0.1989459602188293, 0.11237288047714238, 0.018387837116476277, 0.28668088949826004, 0.19153501253601138, 0.003988164665919917, 0.08818846920967571, 0.2324587496590208, 0.177237572513156, 0.09575057555465484, -0.3801424286745072, 0.08211545946265382, -0.04625469094494006] |
707.2279 | Measurement of the e+e- -> K+K- cross section in the energy range
s**(1/2) = 1.04 - 1.38 GeV with the SND detector in the experiment at the
VEPP-2M e+e- collider | The cross section of the process $e^+e^- \to K^+K^-$ was measured in the
energy range $\sqrt{s}$ = 1.04--1.38 GeV in the SND experiment at the VEPP-2M
$e^+e^-$ collider. The measured cross section is described by the model of
vector meson dominance with contributions from the light vector mesons $\rho$,
$\omega$, $\phi$ and their lowest excitations. The mean statistical accuracy of
the measurement is 4.4 %, and the systematic uncertainty is 5.2 %.
| hep-ex | the cross section of the process ee to kk was measured in the energy range sqrts 104138 gev in the snd experiment at the vepp2m ee collider the measured cross section is described by the model of vector meson dominance with contributions from the light vector mesons rho omega phi and their lowest excitations the mean statistical accuracy of the measurement is 44 and the systematic uncertainty is 52 | [['the', 'cross', 'section', 'of', 'the', 'process', 'ee', 'to', 'kk', 'was', 'measured', 'in', 'the', 'energy', 'range', 'sqrts', '104138', 'gev', 'in', 'the', 'snd', 'experiment', 'at', 'the', 'vepp2m', 'ee', 'collider', 'the', 'measured', 'cross', 'section', 'is', 'described', 'by', 'the', 'model', 'of', 'vector', 'meson', 'dominance', 'with', 'contributions', 'from', 'the', 'light', 'vector', 'mesons', 'rho', 'omega', 'phi', 'and', 'their', 'lowest', 'excitations', 'the', 'mean', 'statistical', 'accuracy', 'of', 'the', 'measurement', 'is', '44', 'and', 'the', 'systematic', 'uncertainty', 'is', '52']] | [-0.0922376710056115, 0.20237859831575086, -0.09373344617950566, 0.1071890924865115, 0.0069901229101507105, -0.07515310267369975, 0.03692968951209503, 0.3046762587173897, -0.2227062834700679, -0.3086701636476552, -0.06752931125640102, -0.4229711860363536, 0.08001826826811713, 0.1366415596652694, 0.11365097555715371, 0.1481390591190361, 0.09276122463993755, 0.09847263405647348, -0.023728766108808273, -0.20433494029566646, 0.2711677573319963, 0.12921545629882636, 0.2675343050676234, 0.1593542064742103, 0.08537227806279107, 0.06424122759456034, -0.04062418932752574, -0.07952490212012302, -0.12789499667911408, 0.08761830178349662, 0.2661563776543035, 0.07464378094300628, 0.12012260048376287, -0.23748021761831992, -0.0785809379646226, 0.14858581043560715, 0.09782246593385935, 0.016434462275356054, 0.047129341517575085, -0.3347352123956251, 0.13021068995722623, -0.21199203211375894, -0.08543093830538805, 0.004671393975834636, 0.037440059747656476, -0.06743159820325673, -0.26968137183062296, 0.1308195115364951, -0.05655733339817209, 0.0823124685762998, -0.07529865373747752, -0.2538268988171373, -0.060642589137012905, -0.03173999460961889, 0.08948310488032053, 0.1186090028803686, 0.20786116658436024, -0.14254727113225005, -0.15616449135739138, 0.3752740267664194, -0.08342642807538676, -0.1682929149007096, 0.08481394260546521, -0.23434073408819078, -0.05086104864911998, 0.19205872425193185, 0.2605158678942483, 0.028886919745726866, -0.18965314324561725, 0.1540818260418746, 0.016645090668188298, 0.1827795266191756, 0.06911309525671908, 0.027965366867754388, 0.1435619999983293, 0.19646739460842902, -0.04364238814228242, 0.049377929278895914, -0.16528327690834618, -0.05323589610291973, -0.4447147286058787, -0.11422651313135729, -0.06269389900433667, 0.04760695322115412, -0.024936739450769144, -0.0006973385016488679, 0.35310971530099566, 0.009249082807561053, 0.30617752958856087, 0.013209692996871822, 0.3270110759185627, 0.16409106182811015, 0.045679549455920045, 0.06693018542372396, 0.3695024226600414, 0.2091244082480176, 0.17131611740435748, -0.2564670720295159, -0.010332904639653862, -0.011086507310049938] |
707.228 | Blue laser cooling transitions in Tm I | We have studied possible candidates for laser cooling transitions in
$^{169}$Tm in the spectral region 410 -- 420 nm. By means of saturation
absorption spectroscopy we have measured the hyperfine structure and rates of
two nearly closed cycling transitions from the ground state
$4\textrm{f}^{13}6\textrm{s}^2(^2\textrm{F}_0)(J_g=7/2)$ to upper states
$4\textrm{f}^{12}(^3\textrm{H}_5)5\textrm{d}_{3/2}6\textrm{s}^2(J_e=9/2)$ at
410.6 nm and
$4\textrm{f}^{12}(^3\textrm{F}_4)5\textrm{d}_{5/2}6\textrm{s}^2(J_e=9/2)$ at
420.4 nm and evaluated the life times of the excited levels as 15.9(8) ns and
48(6) ns respectively. Decay rates from these levels to neighboring
opposite-parity levels are evaluated by means of Hartree-Fock calculations. We
conclude, that the strong transition at 410.6 nm has an optical leak rate of
less then $2\cdot10^{-5}$ and can be used for efficient laser cooling of
$^{169}$Tm from a thermal atomic beam. The hyperfine structure of two other
even-parity levels which can be excited from the ground state at 409.5 nm and
418.9 nm is also measured by the same technique. In addition we give a
calculated value of $7(2)$ s$^{-1}$ for the rate of magnetic-dipole transition
at 1.14 $\mu$m between the fine structure levels
$(J_g=7/2)\leftrightarrow(J'_g=5/2)$ of the ground state which can be
considered as a candidate for applications in atomic clocks.
| physics.optics | we have studied possible candidates for laser cooling transitions in 169tm in the spectral region 410 420 nm by means of saturation absorption spectroscopy we have measured the hyperfine structure and rates of two nearly closed cycling transitions from the ground state 4textrmf136textrms22textrmf_0j_g72 to upper states 4textrmf123textrmh_55textrmd_326textrms2j_e92 at 4106 nm and 4textrmf123textrmf_45textrmd_526textrms2j_e92 at 4204 nm and evaluated the life times of the excited levels as 1598 ns and 486 ns respectively decay rates from these levels to neighboring oppositeparity levels are evaluated by means of hartreefock calculations we conclude that the strong transition at 4106 nm has an optical leak rate of less then 2cdot105 and can be used for efficient laser cooling of 169tm from a thermal atomic beam the hyperfine structure of two other evenparity levels which can be excited from the ground state at 4095 nm and 4189 nm is also measured by the same technique in addition we give a calculated value of 72 s1 for the rate of magneticdipole transition at 114 mum between the fine structure levels j_g72leftrightarrowj_g52 of the ground state which can be considered as a candidate for applications in atomic clocks | [['we', 'have', 'studied', 'possible', 'candidates', 'for', 'laser', 'cooling', 'transitions', 'in', '169tm', 'in', 'the', 'spectral', 'region', '410', '420', 'nm', 'by', 'means', 'of', 'saturation', 'absorption', 'spectroscopy', 'we', 'have', 'measured', 'the', 'hyperfine', 'structure', 'and', 'rates', 'of', 'two', 'nearly', 'closed', 'cycling', 'transitions', 'from', 'the', 'ground', 'state', '4textrmf136textrms22textrmf_0j_g72', 'to', 'upper', 'states', '4textrmf123textrmh_55textrmd_326textrms2j_e92', 'at', '4106', 'nm', 'and', '4textrmf123textrmf_45textrmd_526textrms2j_e92', 'at', '4204', 'nm', 'and', 'evaluated', 'the', 'life', 'times', 'of', 'the', 'excited', 'levels', 'as', '1598', 'ns', 'and', '486', 'ns', 'respectively', 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707.2281 | A Maslov cocycle for unitary groups | We introduce a 2-cocycle for symplectic and skew-hermitian hyperbolic groups
over arbitrary fields and skew fields, with values in the Witt group of
hermitian forms. This cocycle has good functorial properties: it is natural
under extension of scalars and stable, so it can be viewed as a universal
2-dimensional characteristic class for these groups. Over R and C, it coincides
with the first Chern class.
| math.KT math.GR | we introduce a 2cocycle for symplectic and skewhermitian hyperbolic groups over arbitrary fields and skew fields with values in the witt group of hermitian forms this cocycle has good functorial properties it is natural under extension of scalars and stable so it can be viewed as a universal 2dimensional characteristic class for these groups over r and c it coincides with the first chern class | [['we', 'introduce', 'a', '2cocycle', 'for', 'symplectic', 'and', 'skewhermitian', 'hyperbolic', 'groups', 'over', 'arbitrary', 'fields', 'and', 'skew', 'fields', 'with', 'values', 'in', 'the', 'witt', 'group', 'of', 'hermitian', 'forms', 'this', 'cocycle', 'has', 'good', 'functorial', 'properties', 'it', 'is', 'natural', 'under', 'extension', 'of', 'scalars', 'and', 'stable', 'so', 'it', 'can', 'be', 'viewed', 'as', 'a', 'universal', '2dimensional', 'characteristic', 'class', 'for', 'these', 'groups', 'over', 'r', 'and', 'c', 'it', 'coincides', 'with', 'the', 'first', 'chern', 'class']] | [-0.19361235533769314, 0.12838947154008426, -0.09218375651309123, 0.051126907436320417, -0.11965132756875112, -0.17631198041714155, -0.05308632111320129, 0.39436800903998886, -0.3437626344653276, -0.20148237317513962, 0.0753175205963019, -0.1817968472910042, -0.1816343638114631, 0.25295322531690967, -0.11074566044128285, 0.0059946088892712185, -0.0030203023495582433, 0.11662104025196571, -0.12503988364568122, -0.25229371844504317, 0.42137610327738984, -0.013099943165882276, 0.1915395346326897, -0.01955984561220528, 0.13459936055139854, 0.0017354443955879945, 0.011259965512614984, 0.03159396371159416, -0.11382788732791176, 0.08734469916671514, 0.3175326323279968, 0.008814128703222825, 0.17150115818859865, -0.2951392606473886, -0.17197124165697739, 0.2064644081947895, 0.08743068979909786, 0.023241754789621785, -0.037251300909198246, -0.2893379188930759, 0.13688335192318146, -0.2125985882173364, -0.12369215422838281, -0.12458895248575852, 0.09494188613115022, -0.008264066536839192, -0.25972954319933284, 0.00037962566488064254, 0.07424279327074496, 0.1294545449459782, -0.05493976562642134, -0.10155504791495892, -0.0311055488526248, 0.08314348773027842, 0.01386456610993124, 0.028454239537509588, 0.10218246898685511, -0.057655282916787724, -0.10160999868351679, 0.4163315711113123, -0.12147555222304968, -0.24475605934858322, 0.13934941729888894, -0.12892967521284635, -0.17043630591092201, 0.13905446319482648, 0.07404340701535918, 0.1550631479288523, 0.012982054269657685, 0.2303016497216259, -0.16549962581350253, 0.04918530278910811, 0.07996735974000051, 0.03426112799117198, 0.19483959684864832, 0.033400781355941524, 0.10498552321671294, 0.13386267217843292, 0.0379023947681372, -0.07355716701310415, -0.34103149496592006, -0.2744020542846276, -0.09475756287574769, 0.15115808377114054, -0.1005542581462158, -0.18425816223741723, 0.44048449110526305, 0.041130591513445745, 0.18045335218596917, 0.15067448252095625, 0.17915035976240268, 0.07846455448217547, 0.15697469123316785, 0.07727784261537286, 0.10298675668354218, 0.24425510282699878, -0.012554993011200657, -0.08915066273094943, -0.03958715660354266, 0.14211847066449432] |
707.2282 | The impact of initial density profile on protoplanetary disc evolution
simulation | In the simulation of protoplanetary disc with a power law density profile a
disc instability is detected. The instability arises only with a power law
profile and is affected by power index. Thus the impact of initial density
profile is large within the employed numerical model.
| astro-ph | in the simulation of protoplanetary disc with a power law density profile a disc instability is detected the instability arises only with a power law profile and is affected by power index thus the impact of initial density profile is large within the employed numerical model | [['in', 'the', 'simulation', 'of', 'protoplanetary', 'disc', 'with', 'a', 'power', 'law', 'density', 'profile', 'a', 'disc', 'instability', 'is', 'detected', 'the', 'instability', 'arises', 'only', 'with', 'a', 'power', 'law', 'profile', 'and', 'is', 'affected', 'by', 'power', 'index', 'thus', 'the', 'impact', 'of', 'initial', 'density', 'profile', 'is', 'large', 'within', 'the', 'employed', 'numerical', 'model']] | [-0.1502773443479901, 0.09011397956182128, -0.1383233775344232, 0.022853728553340974, -0.04669315205461791, -0.10236526423376864, -0.007352604004351989, 0.29447924783048424, -0.24637001642511916, -0.35348376299700013, 0.10478653447732897, -0.25742648056019907, -0.06838413813839787, 0.1578085476724917, -0.018472576093778986, 0.08283032203579078, -0.016642234247663746, -0.06889243896180035, 0.01610797179771749, -0.13554174428724725, 0.3217754359761982, 0.15556755313730758, 0.25614644510104606, 0.011136167176553736, 0.022589497976814924, -0.09035061761412931, -0.050028162461746, 0.07727658781020538, -0.1609354515398002, 0.036772714290039046, 0.1632763731252888, 0.1012065744270449, 0.28939897575132223, -0.4010269753230007, -0.2901829962780618, 0.04506338942472054, 0.13873921209217413, 0.022042048528142597, -0.09380648975544002, -0.16305436945074928, 0.1008709332521033, -0.2553633074023072, -0.23286174945330815, 0.05289723175456342, 0.07296982703163572, 0.0611392283488227, -0.3224850290495416, 0.20779428541984246, 0.04634996459050023, 0.05288329331771187, -0.07214911176782587, -0.010511823140246712, -0.09477362803021527, 0.049519455070485885, 0.07321716556274939, -2.830407744192559e-05, 0.24386951440702315, -0.17171454316248064, 0.024270064804864967, 0.38395713893291744, -0.08776194829007854, -0.15679937860240106, 0.10433995918087337, -0.22106901186761324, -0.04315944267031939, 0.1733524936615773, 0.15742211679563575, 0.08593730467185631, -0.017970413070819948, 0.0868093432926917, -0.027724549138878028, 0.2851775581037383, 0.04270957406792466, -0.06915431700484909, 0.2877969859653841, 0.14594267818914808, 0.04167069903696361, 0.15475972569750054, -0.13504008722552302, -0.11090658471980334, -0.2673117377916756, -0.04972155357751509, -0.19814617551215316, 0.049207608063664775, -0.10743523991392145, -0.13647134180950082, 0.4120834049890223, 0.050993695257879466, 0.20274192568562602, 0.042127296389283045, 0.3669287879829821, 0.233887425745311, 0.07956310422362192, 0.12817022865435676, 0.25640560307985416, 0.1436179037377967, 0.12022395535250721, -0.2473995934807412, 0.10917660707871066, -0.011918716790640483] |
707.2283 | Conformal Gravity Challenges String Theory | The cosmological constant problem and the compatibility of gravity with
quantum mechanics are the two most pressing problems in all of gravitational
theory. While string theory nicely addresses the latter, it has so far failed
to provide any compelling solution to the former. On the other hand, while
conformal gravity nicely addresses the cosmological constant problem (by
naturally quenching the amount by which the cosmological constant gravitates
rather than by quenching the cosmological constant itself), the fourth order
derivative conformal theory has long been thought to possess a ghost when
quantized. However, it has recently been shown by Bender and Mannheim that not
only do theories based on fourth order derivative equations of motion not have
ghosts, they actually never had any to begin with, with the apparent presence
of ghosts being due entirely to treating operators which were not Hermitian on
the real axis as though they were. When this is taken care of via an underlying
$\cal P$$\cal T$ symmetry that such theories are found to possess, there are
then no ghosts at all and the $S$-matrix is fully unitary. Conformal gravity is
thus advanced as a fully consistent four-dimensional alternative to
ten-dimensional string theory.
| hep-th gr-qc | the cosmological constant problem and the compatibility of gravity with quantum mechanics are the two most pressing problems in all of gravitational theory while string theory nicely addresses the latter it has so far failed to provide any compelling solution to the former on the other hand while conformal gravity nicely addresses the cosmological constant problem by naturally quenching the amount by which the cosmological constant gravitates rather than by quenching the cosmological constant itself the fourth order derivative conformal theory has long been thought to possess a ghost when quantized however it has recently been shown by bender and mannheim that not only do theories based on fourth order derivative equations of motion not have ghosts they actually never had any to begin with with the apparent presence of ghosts being due entirely to treating operators which were not hermitian on the real axis as though they were when this is taken care of via an underlying cal pcal t symmetry that such theories are found to possess there are then no ghosts at all and the smatrix is fully unitary conformal gravity is thus advanced as a fully consistent fourdimensional alternative to tendimensional string theory | [['the', 'cosmological', 'constant', 'problem', 'and', 'the', 'compatibility', 'of', 'gravity', 'with', 'quantum', 'mechanics', 'are', 'the', 'two', 'most', 'pressing', 'problems', 'in', 'all', 'of', 'gravitational', 'theory', 'while', 'string', 'theory', 'nicely', 'addresses', 'the', 'latter', 'it', 'has', 'so', 'far', 'failed', 'to', 'provide', 'any', 'compelling', 'solution', 'to', 'the', 'former', 'on', 'the', 'other', 'hand', 'while', 'conformal', 'gravity', 'nicely', 'addresses', 'the', 'cosmological', 'constant', 'problem', 'by', 'naturally', 'quenching', 'the', 'amount', 'by', 'which', 'the', 'cosmological', 'constant', 'gravitates', 'rather', 'than', 'by', 'quenching', 'the', 'cosmological', 'constant', 'itself', 'the', 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'consistent', 'fourdimensional', 'alternative', 'to', 'tendimensional', 'string', 'theory']] | [-0.10829123832122305, 0.1537265217453649, -0.09481853356958381, 0.07591596506488732, -0.14449544334258213, -0.1775150822232085, -0.06413542802284855, 0.34854142933842835, -0.21334462347885844, -0.3051907458309519, 0.12566792136850072, -0.26612184284642565, -0.1487644986263689, 0.1352490424397189, -0.06599457654865638, 0.06014712119704292, -0.005982922196274784, 0.09468773577901828, -0.06904102031018604, -0.293019846457572, 0.33573131161259706, 0.059039697566939525, 0.21650908306373406, 0.03176180394791861, 0.09883653717399173, -0.030333758944049855, -0.006269362591281486, 0.05713875178805538, -0.09165155312300809, 0.04302301833070436, 0.225713260639648, 0.09432001047540778, 0.2555852370327197, -0.4510822673304583, -0.27724178033354363, 0.11796611211933952, 0.15478928901756248, 0.14934322811062756, -0.023206112365626027, -0.2662174071133288, 0.10208635876513072, -0.14554231631248093, 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707.2284 | Nonlinear behavior of the Chinese SSEC index with a unit root: Evidence
from threshold unit root tests | We investigate the behavior of the Shanghai Stock Exchange Composite (SSEC)
index for the period from 1990:12 to 2007:06 using an unconstrained two-regime
threshold autoregressive (TAR) model with an unit root developed by Caner and
Hansen. The method allows us to simultaneously consider non-stationarity and
nonlinearity in financial time series. Our finding indicates that the Shanghai
stock market exhibits nonlinear behavior with two regimes and has unit roots in
both regimes. The important implications of the threshold effect in stock
markets are also discussed.
| q-fin.ST physics.data-an physics.soc-ph | we investigate the behavior of the shanghai stock exchange composite ssec index for the period from 199012 to 200706 using an unconstrained tworegime threshold autoregressive tar model with an unit root developed by caner and hansen the method allows us to simultaneously consider nonstationarity and nonlinearity in financial time series our finding indicates that the shanghai stock market exhibits nonlinear behavior with two regimes and has unit roots in both regimes the important implications of the threshold effect in stock markets are also discussed | [['we', 'investigate', 'the', 'behavior', 'of', 'the', 'shanghai', 'stock', 'exchange', 'composite', 'ssec', 'index', 'for', 'the', 'period', 'from', '199012', 'to', '200706', 'using', 'an', 'unconstrained', 'tworegime', 'threshold', 'autoregressive', 'tar', 'model', 'with', 'an', 'unit', 'root', 'developed', 'by', 'caner', 'and', 'hansen', 'the', 'method', 'allows', 'us', 'to', 'simultaneously', 'consider', 'nonstationarity', 'and', 'nonlinearity', 'in', 'financial', 'time', 'series', 'our', 'finding', 'indicates', 'that', 'the', 'shanghai', 'stock', 'market', 'exhibits', 'nonlinear', 'behavior', 'with', 'two', 'regimes', 'and', 'has', 'unit', 'roots', 'in', 'both', 'regimes', 'the', 'important', 'implications', 'of', 'the', 'threshold', 'effect', 'in', 'stock', 'markets', 'are', 'also', 'discussed']] | [-0.08429400600998858, 0.06437218675920223, -0.11993745216570886, 0.08054452078175489, -0.04526084109588906, -0.13997781410652363, 0.06602243117896127, 0.4034538306755784, -0.2600029437791234, -0.2614053669558079, 0.13400892818628315, -0.32240320389452937, -0.20227891121657543, 0.22242260610765238, -0.04634615141944385, 0.05084606840700647, -0.02661780929652813, -0.008389040747266492, 0.08378670418370561, -0.26799168948509533, 0.27008480545317315, 0.08562761600370761, 0.31716084937898464, 0.05102396487361855, 0.12712556260557453, 0.04842227822986006, -0.0157607211059471, -0.018434744443238518, -0.12313188268434053, 0.09981073063142874, 0.2243741763106053, 0.02516544452741926, 0.3419596086037748, -0.4058059304377731, -0.19191824435975036, 0.11760960692930737, 0.06913730219857377, -0.019433826668027007, 0.012507459240747087, -0.21836374922552043, 0.012065894145771493, -0.21859438646078846, -0.13664323352507235, -0.0646833738565077, 0.049410261340255356, 0.020227308022893138, -0.34862680537741125, 0.09440119513044605, 0.011802181109992994, 0.07657274370438155, -0.069094775440775, -0.1124601656180105, 0.004230147460475564, 0.1396432586796122, 0.15735460706572565, -0.09641791264997956, 0.08090162912475658, -0.11086564466219258, -0.1987766687999721, 0.3347050272802144, -0.10027510904488557, -0.1136657543434405, 0.12342116370061297, -0.18875210976550055, -0.10323296754080573, 0.09240340811694846, 0.2034491944115287, 0.016811012934295485, -0.1554495331911761, 0.06897109310375527, -0.0264477169221658, 0.20916183957439147, 0.06132128217004607, -0.058244554693868134, 0.1610051112804263, 0.17500349275629828, 0.027787565509501247, 0.2048858579472397, -0.12499750409574237, -0.18048308037198435, -0.22569629769588326, -0.08876032709937405, -0.1276909989638277, -0.010237754768128564, -0.167109974078801, -0.14949360476047904, 0.4291264834227385, 0.17178348193152082, 0.17127009762313078, 0.061104646895402744, 0.20108420696155524, 0.15664869608116094, 0.002077477425947659, 0.10000298567207704, 0.20520881516284045, 0.04494876448168523, 0.17001519986876734, -0.2137051465673901, 0.1187276329304793, 0.052830870973268225] |
707.2285 | Neutrino decay as a possible interpretation to the MiniBooNE observation
with unparticle scenario | In a new measurement on neutrino oscillation $\nu_{\mu}\to\nu_e$, the
MiniBooNE Collaboration observes an excess of electron-like events at low
energy and the phenomenon may demand an explanation which obviously is beyond
the oscillation picuture. We propose that heavier neutrino $\nu_2$ decaying
into a lighter one $\nu_1$ via the transition process $\nu_{\mu}\to \nu_e+X$
where $X$ denotes any light products, could be a natural mechanism. The
theoretical model we employ here is the unparticle scenario established by
Georgi. We have studied two particular modes $\nu_\mu\to \nu_e+\Un$ and
$\nu_\mu\to \nu_e+\bar\nu_e+\nu_e$. Unfortunately, the number coming out from
the computation is too small to explain the observation. Moreover, our results
are consistent with the cosmology constraint on the neutrino lifetime and the
theoretical estimation made by other groups, therefore we can conclude that
even though neutrino decay seems plausible in this case, it indeed cannot be
the source of the peak at lower energy observed by the MiniBooNE collaboration
and there should be other mechanisms responsible for the phenomenon.
| hep-ph | in a new measurement on neutrino oscillation nu_mutonu_e the miniboone collaboration observes an excess of electronlike events at low energy and the phenomenon may demand an explanation which obviously is beyond the oscillation picuture we propose that heavier neutrino nu_2 decaying into a lighter one nu_1 via the transition process nu_muto nu_ex where x denotes any light products could be a natural mechanism the theoretical model we employ here is the unparticle scenario established by georgi we have studied two particular modes nu_muto nu_eun and nu_muto nu_ebarnu_enu_e unfortunately the number coming out from the computation is too small to explain the observation moreover our results are consistent with the cosmology constraint on the neutrino lifetime and the theoretical estimation made by other groups therefore we can conclude that even though neutrino decay seems plausible in this case it indeed cannot be the source of the peak at lower energy observed by the miniboone collaboration and there should be other mechanisms responsible for the phenomenon | [['in', 'a', 'new', 'measurement', 'on', 'neutrino', 'oscillation', 'nu_mutonu_e', 'the', 'miniboone', 'collaboration', 'observes', 'an', 'excess', 'of', 'electronlike', 'events', 'at', 'low', 'energy', 'and', 'the', 'phenomenon', 'may', 'demand', 'an', 'explanation', 'which', 'obviously', 'is', 'beyond', 'the', 'oscillation', 'picuture', 'we', 'propose', 'that', 'heavier', 'neutrino', 'nu_2', 'decaying', 'into', 'a', 'lighter', 'one', 'nu_1', 'via', 'the', 'transition', 'process', 'nu_muto', 'nu_ex', 'where', 'x', 'denotes', 'any', 'light', 'products', 'could', 'be', 'a', 'natural', 'mechanism', 'the', 'theoretical', 'model', 'we', 'employ', 'here', 'is', 'the', 'unparticle', 'scenario', 'established', 'by', 'georgi', 'we', 'have', 'studied', 'two', 'particular', 'modes', 'nu_muto', 'nu_eun', 'and', 'nu_muto', 'nu_ebarnu_enu_e', 'unfortunately', 'the', 'number', 'coming', 'out', 'from', 'the', 'computation', 'is', 'too', 'small', 'to', 'explain', 'the', 'observation', 'moreover', 'our', 'results', 'are', 'consistent', 'with', 'the', 'cosmology', 'constraint', 'on', 'the', 'neutrino', 'lifetime', 'and', 'the', 'theoretical', 'estimation', 'made', 'by', 'other', 'groups', 'therefore', 'we', 'can', 'conclude', 'that', 'even', 'though', 'neutrino', 'decay', 'seems', 'plausible', 'in', 'this', 'case', 'it', 'indeed', 'can', 'not', 'be', 'the', 'source', 'of', 'the', 'peak', 'at', 'lower', 'energy', 'observed', 'by', 'the', 'miniboone', 'collaboration', 'and', 'there', 'should', 'be', 'other', 'mechanisms', 'responsible', 'for', 'the', 'phenomenon']] | [-0.10295313242417962, 0.24479701049370628, -0.07128901771553185, 0.1540635802045376, -0.06894386626681695, -0.15676271742186654, 0.07744041735144414, 0.3328549101289292, -0.23783516791874762, -0.311429106092416, 0.06760664595079881, -0.3095530989516226, -0.08764802356776984, 0.21225555964184473, -0.009140225977496598, -0.022067776580358515, 0.06495780101977289, 0.04632143698262502, -0.01830924419911798, -0.19666565688303816, 0.2930225602442237, 0.10355297164732637, 0.25957427458745075, 0.08354667450087319, 0.03660922193891074, -0.052342245734140556, -0.035470530651046994, -0.04977471051124497, -0.10365727404756139, 0.04378178432838332, 0.21288152969795168, 0.11256456454443566, 0.1806316564889243, -0.4107792337384561, -0.2093166093007945, 0.18808303998279968, 0.17013582578709824, 0.08185737971462287, -0.08754928305062541, -0.28115001549764956, 0.07601335126565341, -0.1817003594890746, -0.11043557832711694, -0.03446211361598154, -0.015063016166366775, -0.07381699223834906, -0.2844092879901345, 0.07745365039532229, 0.014453617841444956, -0.030856376328731176, -0.041942297939430946, -0.148990989078461, -0.004409178659053785, 0.04583826337171638, 0.12736632612765975, 0.0073798923241263775, 0.1029467863979408, -0.09206456617128266, -0.11463581224012634, 0.38064761395039765, -0.07424708108724275, -0.1390760287052087, 0.15541214286277405, -0.18880485677050415, -0.14222507159115735, 0.14134715677395185, 0.11830855359942276, 0.040258780949002836, -0.15072573313015217, 0.06299581669103961, -0.07534888063366554, 0.15429217724117988, 0.04330408614076767, 0.036330649230097024, 0.2557550715629636, 0.20009140715853352, 0.06375746160705129, 0.025325119715207112, -0.126284834280934, -0.03563857408275145, -0.34355901074465595, -0.08873784290633877, -0.14174844776945456, 0.06458356320253872, -0.01952264808813943, -0.06671907655136972, 0.3696213499440447, 0.12308563498320255, 0.2272310671194092, -0.0071267450455379504, 0.2915471914681311, 0.11788285130082474, 0.08365722442543284, 0.044498078175097336, 0.32146986365110053, 0.07989943202770089, 0.11361068244792105, -0.2064438773599679, 0.0977330867675428, 0.010791349700530585] |
707.2286 | Non-linear Symmetry-preserving Observer on Lie Groups | In this paper we give a geometrical framework for the design of observers on
finite-dimensional Lie groups for systems which possess some specific
symmetries. The design and the error (between true and estimated state)
equation are explicit and intrinsic. We consider also a particular case:
left-invariant systems on Lie groups with right equivariant output. The theory
yields a class of observers such that error equation is autonomous. The
observers converge locally around any trajectory, and the global behavior is
independent from the trajectory, which reminds of the linear stationary case.
| math.OC | in this paper we give a geometrical framework for the design of observers on finitedimensional lie groups for systems which possess some specific symmetries the design and the error between true and estimated state equation are explicit and intrinsic we consider also a particular case leftinvariant systems on lie groups with right equivariant output the theory yields a class of observers such that error equation is autonomous the observers converge locally around any trajectory and the global behavior is independent from the trajectory which reminds of the linear stationary case | [['in', 'this', 'paper', 'we', 'give', 'a', 'geometrical', 'framework', 'for', 'the', 'design', 'of', 'observers', 'on', 'finitedimensional', 'lie', 'groups', 'for', 'systems', 'which', 'possess', 'some', 'specific', 'symmetries', 'the', 'design', 'and', 'the', 'error', 'between', 'true', 'and', 'estimated', 'state', 'equation', 'are', 'explicit', 'and', 'intrinsic', 'we', 'consider', 'also', 'a', 'particular', 'case', 'leftinvariant', 'systems', 'on', 'lie', 'groups', 'with', 'right', 'equivariant', 'output', 'the', 'theory', 'yields', 'a', 'class', 'of', 'observers', 'such', 'that', 'error', 'equation', 'is', 'autonomous', 'the', 'observers', 'converge', 'locally', 'around', 'any', 'trajectory', 'and', 'the', 'global', 'behavior', 'is', 'independent', 'from', 'the', 'trajectory', 'which', 'reminds', 'of', 'the', 'linear', 'stationary', 'case']] | [-0.15237214330894253, 0.054523218164427414, -0.10239660456362698, 0.044291291548223755, -0.09776626810845401, -0.1507176818791777, 0.0039056566906058125, 0.3758707240430845, -0.2734052462917235, -0.24835085502515236, 0.13710543452374016, -0.24712794539518654, -0.16179591878058597, 0.20999354708215429, -0.1064259164294021, 0.033236506576132446, 0.05605516119653152, 0.13137348259074821, -0.1009111254553621, -0.20754910121354947, 0.38683512513525786, 0.015049149075316058, 0.2617182009646462, -0.0645056217081017, 0.17455455760937183, 0.010944181199495992, 0.04259605256245575, 0.01313614678155217, -0.12576510542268, 0.12208914270417558, 0.25623599612671466, 0.0818336104333058, 0.25362386907347373, -0.35381897801740303, -0.18030947434922887, 0.1538132821985831, 0.11916127620885769, 0.11649145981710818, -0.045114736023565964, -0.3242603269871324, 0.065060024183347, -0.13437045466982656, -0.14442840489662356, -0.060652817144162124, 0.02507865024316642, 0.03350149931955255, -0.2432969785709348, 0.09507366026357178, 0.07646137666629835, 0.06903334742205011, -0.1271896487696924, -0.05741621548723844, -0.016153468740069205, 0.15471484441724087, 0.012466972444154735, 0.0048571932646963335, 0.11628874080359108, -0.07001421102581339, -0.11243514128857189, 0.3946667701005936, 0.00232153098202414, -0.28380080380787454, 0.14657008975951208, -0.1470750863249931, -0.14786275938386098, 0.08579052364867594, 0.19915330209251908, 0.14827439544411997, -0.10766871023095316, 0.11321885395122486, -0.062289332435466346, 0.11859044123234021, 0.020714741698207542, 0.0471617192029953, 0.17446881225332617, 0.1130236357372875, 0.11736831271813976, 0.08968004177634915, 0.003377795816696663, -0.11177020978260165, -0.3837783543703457, -0.17036279271770682, -0.10637490409685092, 0.08802797956046157, -0.10194601004671616, -0.17302000850128632, 0.389687608803312, 0.14459431927615596, 0.16926945433434512, 0.12248721187158178, 0.22800756227225066, 0.1313017945115765, -0.011892226105555893, 0.12979899287844698, 0.22480896703750153, 0.13705587041460807, 0.04020789738537537, -0.1941509392241844, 0.038651379006397396, 0.10133171843157875] |
707.2287 | Stability of vortex solitons in thermal nonlinear media with cylindrical
symmetry | We analyze the salient features of vortex-ring solitons supported by
cylindrically symmetric media with nonlocal thermal nonlinearity. We discover
the existence of a maximum allowed topological charge for such vortex solitons
to be stable on propagation: Only vortex-ring solitons with topological charge
m<=2 are found to be stable. This remarkable result holds independently of the
radius of the sample.
| physics.optics nlin.PS | we analyze the salient features of vortexring solitons supported by cylindrically symmetric media with nonlocal thermal nonlinearity we discover the existence of a maximum allowed topological charge for such vortex solitons to be stable on propagation only vortexring solitons with topological charge m2 are found to be stable this remarkable result holds independently of the radius of the sample | [['we', 'analyze', 'the', 'salient', 'features', 'of', 'vortexring', 'solitons', 'supported', 'by', 'cylindrically', 'symmetric', 'media', 'with', 'nonlocal', 'thermal', 'nonlinearity', 'we', 'discover', 'the', 'existence', 'of', 'a', 'maximum', 'allowed', 'topological', 'charge', 'for', 'such', 'vortex', 'solitons', 'to', 'be', 'stable', 'on', 'propagation', 'only', 'vortexring', 'solitons', 'with', 'topological', 'charge', 'm2', 'are', 'found', 'to', 'be', 'stable', 'this', 'remarkable', 'result', 'holds', 'independently', 'of', 'the', 'radius', 'of', 'the', 'sample']] | [-0.18800063054787658, 0.1597679219113947, -0.06833401036653984, 0.03767804094093015, -0.08358885218405117, -0.1636849606520165, -0.00522784803504661, 0.38426223665602127, -0.2302328503801156, -0.23414130245288045, 0.07981751562427666, -0.2803730947612706, -0.1071829666557201, 0.14625544984572394, -0.014720701872986757, 0.04012020627604956, -0.009871145757704468, 0.027152314624291355, -0.024835983622756044, -0.20501023946503588, 0.35546492679455016, -0.04147816646076597, 0.2800320075603865, 0.0765774055557736, 0.028402900615296628, -0.039560894039854154, 0.01766332912148308, 0.05967885524160781, -0.21693276261942365, 0.0924648379766919, 0.20971519907273478, -0.005607552834297136, 0.17940170197921285, -0.41776245259381417, -0.24857879573700287, 0.11217849689804144, 0.12598299698990975, 0.16268902783424166, -0.08708067633945621, -0.3505580239629341, 0.16570500450177214, -0.10415130005202304, -0.21716298545726528, -0.08662154222443952, 0.0662911288377087, 0.09516914261473437, -0.20589875619290238, 0.11029119754478461, 0.10228595724802907, -0.01745148246192326, -0.05626510569068082, -0.01919710106547859, -0.12342600247791131, 0.040188022180839236, 0.06124003248889062, -0.02577396153109306, 0.10234233893264653, -0.1273050265883932, -0.0875183295426985, 0.35581870405476984, -0.08804123031796288, -0.1805560591046588, 0.16577641105958088, -0.137993889222991, -0.02710425546708501, 0.17357515827831577, 0.14460219538344418, 0.15349350405572834, -0.054336277641734834, 0.023056580022103704, -0.07356906681266313, 0.19045367322554338, 0.14692897475087793, 0.09297512206485715, 0.28180143082419695, 0.1737858597662742, 0.09965597118361522, 0.14885966040557091, -0.070500516739153, -0.09714335931654451, -0.2806424458463818, -0.13359177114157858, -0.18597933162256317, 0.04754722789245642, -0.10535971208680737, -0.1653067664385347, 0.43346811801005725, 0.07864563770087088, 0.18375775287020557, -0.03435372539117175, 0.19372834591984245, 0.10977648670579922, 0.061434629246971365, 0.10424893437805823, 0.29053744213592453, 0.16051027491704514, 0.11356836883351207, -0.2246013614191216, -0.039408718229871305, 0.05408134972834486] |
707.2288 | Stellar population synthesis of post-AGB stars: the s-process in
MACHO47.2496.8 | The low-metallicity RV Tauri star MACHO47.2496.8, recently discovered in the
Large Magellanic Cloud, is highly enriched in carbon and heavy elements
produced by the slow neutron capture process (s-process), and is most probably
a genuine post-C(N-type) asymptotic giant branch (AGB) star. We use the
analysis of the abundances of MACHO47.2496.8 to constrain free parameters in
AGB models. We test which values of the free parameters describing uncertain
physical mechanisms in AGB stars, namely the third dredge-up and the features
of the 13C neutron source, produce models that better match the abundances
observed in MACHO47.2496.8. We carry out stellar population synthesis coupled
with s-process nucleosynthesis using a synthetic stellar evolution code. The
s-process ratios observed in MACHO47.2496.8 can be matched by the same models
that explain the s-process ratios of Galactic AGB and post-AGB stars of
metallicity > Z_sun/10, except for the choice of the effectiveness of 13C as a
neutron source, which has to be lower by roughly a factor of 3 to 6. The less
effective neutron source for lower metallicities is also required when
comparing population synthesis results to observations of Galactic halo
$s$-enhanced stars, such as Pb stars. The 12C/13C ratio in MACHO47.2496.8
cannot be matched simultaneously and requires the occurrence of extra-mixing
processes. The confirmed trend of the decreased efficiency of the 13C neutron
source with metallicity requires an explanation from AGB s-process models. The
present work is to date the first comparison between theoretical models and the
detailed abundances of an extragalactic post-AGB star.
| astro-ph | the lowmetallicity rv tauri star macho4724968 recently discovered in the large magellanic cloud is highly enriched in carbon and heavy elements produced by the slow neutron capture process sprocess and is most probably a genuine postcntype asymptotic giant branch agb star we use the analysis of the abundances of macho4724968 to constrain free parameters in agb models we test which values of the free parameters describing uncertain physical mechanisms in agb stars namely the third dredgeup and the features of the 13c neutron source produce models that better match the abundances observed in macho4724968 we carry out stellar population synthesis coupled with sprocess nucleosynthesis using a synthetic stellar evolution code the sprocess ratios observed in macho4724968 can be matched by the same models that explain the sprocess ratios of galactic agb and postagb stars of metallicity z_sun10 except for the choice of the effectiveness of 13c as a neutron source which has to be lower by roughly a factor of 3 to 6 the less effective neutron source for lower metallicities is also required when comparing population synthesis results to observations of galactic halo senhanced stars such as pb stars the 12c13c ratio in macho4724968 cannot be matched simultaneously and requires the occurrence of extramixing processes the confirmed trend of the decreased efficiency of the 13c neutron source with metallicity requires an explanation from agb sprocess models the present work is to date the first comparison between theoretical models and the detailed abundances of an extragalactic postagb star | [['the', 'lowmetallicity', 'rv', 'tauri', 'star', 'macho4724968', 'recently', 'discovered', 'in', 'the', 'large', 'magellanic', 'cloud', 'is', 'highly', 'enriched', 'in', 'carbon', 'and', 'heavy', 'elements', 'produced', 'by', 'the', 'slow', 'neutron', 'capture', 'process', 'sprocess', 'and', 'is', 'most', 'probably', 'a', 'genuine', 'postcntype', 'asymptotic', 'giant', 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707.2289 | Lepton Universality Tests with Kaons | Precision data on Kl3 and Kl2 decay rates and form factors allow us to
perform significant tests of lepton universality and to constrain the strength
of non-standard interactions. The present status of these tests and new physics
searches are discussed, as obtained by combining all the available results of
the various kaon physics experiments.
| hep-ex | precision data on kl3 and kl2 decay rates and form factors allow us to perform significant tests of lepton universality and to constrain the strength of nonstandard interactions the present status of these tests and new physics searches are discussed as obtained by combining all the available results of the various kaon physics experiments | [['precision', 'data', 'on', 'kl3', 'and', 'kl2', 'decay', 'rates', 'and', 'form', 'factors', 'allow', 'us', 'to', 'perform', 'significant', 'tests', 'of', 'lepton', 'universality', 'and', 'to', 'constrain', 'the', 'strength', 'of', 'nonstandard', 'interactions', 'the', 'present', 'status', 'of', 'these', 'tests', 'and', 'new', 'physics', 'searches', 'are', 'discussed', 'as', 'obtained', 'by', 'combining', 'all', 'the', 'available', 'results', 'of', 'the', 'various', 'kaon', 'physics', 'experiments']] | [-0.03917009419658118, 0.17740319890866954, -0.034853624066777736, 0.12036839108569203, -0.09225907485449204, -0.1578526918569373, 0.09522522787166829, 0.2626585909337909, -0.1839261765298606, -0.3457534790073556, 0.09569852066622977, -0.29017307740394715, -0.01681399352296635, 0.2514484498856796, 0.1039944993056081, 0.12766297656559833, 0.11860583284093688, -0.039875565980630065, -0.09602898691297958, -0.22709743063724427, 0.28020019084215164, 0.1202963408669112, 0.2603934965812153, 0.12145474946333303, 0.013673871809495959, -0.019874463254516875, -0.1512084530700964, -0.03237764711526257, -0.2063820182207834, 0.1097029868375372, 0.1990065382172664, 0.21232293203852518, 0.12919358100259193, -0.43472929908333485, -0.12035929876448656, 0.1049323436907596, 0.09630142017353878, 0.0779678385566782, -0.09678907743525794, -0.35063482000475266, 0.03974318527347081, -0.15436934950520043, -0.11000310340723782, -0.1948300512438571, -0.06116384145355335, 0.05612787107626597, -0.3279102378766294, 0.08504408401764792, -0.022955259627283172, 0.03605132229212257, -0.011159230808348016, -0.2290571617928368, 0.0744437542420605, 0.17065532150229923, 0.15484284078357397, -0.009132287361555629, 0.13770582085406338, -0.19166908538210448, -0.20046573039144278, 0.4109313209903323, -0.06883231865854382, -0.15487839817931806, 0.23436343983781557, -0.20861890924991006, -0.1853907813956202, 0.07897991536150652, 0.24442394448582222, 0.029837910154903377, -0.1740639783717968, 0.08671290203670247, -0.003143245897566279, 0.14502479367096116, 0.01332153556264799, 0.07528180409119362, 0.18270836325569284, 0.15612184646737728, -0.06858633825969365, 0.03423147405825417, -0.10675495747838998, -0.053647508956836884, -0.3806165417794276, -0.11876029966192113, -0.07720537166568209, 0.016422556596808136, -0.06900370793516265, -0.059459116844529356, 0.40785471540961965, 0.17254861765023735, 0.20436751000859119, 0.03258246092850135, 0.24086707837327762, 0.025717249741622556, 0.0954082118028223, -0.023282167536241037, 0.33098738530167826, 0.1639515234855935, 0.0698281405924785, -0.2428930010991516, 0.05703873378742072, 0.010104694446824767] |
707.229 | A Time Independent Energy Estimate for Outgoing Scalar Waves in the Kerr
Geometry | The Cauchy problem for the scalar wave equation in the Kerr geometry is
considered, with initial data which is smooth and compactly supported outside
the event horizon. A time-independent energy estimate for the outgoing wave is
obtained. As an application we estimate the outgoing energy for wave-packet
initial data, uniformly as the support of the initial data is shifted to
infinity. The main mathematical tool is our previously derived integral
representation of the wave propagator.
| math-ph gr-qc math.MP | the cauchy problem for the scalar wave equation in the kerr geometry is considered with initial data which is smooth and compactly supported outside the event horizon a timeindependent energy estimate for the outgoing wave is obtained as an application we estimate the outgoing energy for wavepacket initial data uniformly as the support of the initial data is shifted to infinity the main mathematical tool is our previously derived integral representation of the wave propagator | [['the', 'cauchy', 'problem', 'for', 'the', 'scalar', 'wave', 'equation', 'in', 'the', 'kerr', 'geometry', 'is', 'considered', 'with', 'initial', 'data', 'which', 'is', 'smooth', 'and', 'compactly', 'supported', 'outside', 'the', 'event', 'horizon', 'a', 'timeindependent', 'energy', 'estimate', 'for', 'the', 'outgoing', 'wave', 'is', 'obtained', 'as', 'an', 'application', 'we', 'estimate', 'the', 'outgoing', 'energy', 'for', 'wavepacket', 'initial', 'data', 'uniformly', 'as', 'the', 'support', 'of', 'the', 'initial', 'data', 'is', 'shifted', 'to', 'infinity', 'the', 'main', 'mathematical', 'tool', 'is', 'our', 'previously', 'derived', 'integral', 'representation', 'of', 'the', 'wave', 'propagator']] | [-0.13261834628880023, 0.06909983571172537, -0.13012972161484263, 0.12636247111018747, -0.12313015262285869, -0.06533532252535224, -0.06059940487146378, 0.32160492828736703, -0.25215484976768493, -0.2292264098674059, 0.1523884563629205, -0.29629422331849736, -0.06762389512887845, 0.20924680083990096, 0.017969745981196564, 0.11848525375127793, 0.1035539060862114, 0.10593115909025073, -0.033037378421674174, -0.15389524951577185, 0.41800734913907944, 0.06494638265420993, 0.2629315889067948, 0.031044989625612893, 0.11541148954614376, 0.06610636519268155, -0.013421155114968619, -0.04347316257655621, -0.1333648401654015, 0.08040723892394454, 0.2517088111521055, 0.15069819742813706, 0.24845059603452682, -0.40630093061675626, -0.24266810420900584, 0.06087087984507283, 0.14294753362735113, 0.14631810570407347, -0.059932206360002356, -0.3384585361679395, 0.05260386335353057, -0.12309181809425354, -0.26103487574805817, 0.004556731271247069, 0.0666651709874471, 0.055996694434434176, -0.3097017935663462, 0.09941522175756594, 0.022089508486290772, -0.03932531637450059, -0.1734274683209757, -0.06525759444882473, -0.0860731378228714, 0.09076126554515213, 0.08672639277763665, 0.09961244149754445, 0.09501634011015994, -0.07427374862755338, -0.03130720009561628, 0.33533751770854, -0.06396069403737784, -0.26919768532117205, 0.1121968622971326, -0.14683931884666285, -0.01701170946781834, 0.15987918755660455, 0.1552274464815855, 0.124749706449608, -0.14422081004828213, 0.11022877145480986, -0.04209687089489307, 0.11294602512770022, 0.10478336843972405, -0.00844983567794164, 0.16401670888376732, 0.12158841303239266, 0.0767131757736206, 0.14937003184109926, -0.0855047999570767, -0.09331434829781453, -0.3908893520136674, -0.1528312806536754, -0.27800420816987753, 0.07805437382485252, -0.11405625438919136, -0.19523650088657934, 0.36793852016329764, 0.10306417214994629, 0.17495134020845096, 0.057812466958227254, 0.3146501168608665, 0.2202491150346274, 0.0008875570446252823, 0.09739124297474822, 0.22406829567315678, 0.12500655681826175, 0.15747899537285168, -0.1954417613334954, 0.005013955356553197, 0.054869549175103505] |
707.2291 | An Integrated Crosscutting Concern Migration Strategy and its
Application to JHotDraw | In this paper we propose a systematic strategy for migrating crosscutting
concerns in existing object-oriented systems to aspect-based solutions. The
proposed strategy consists of four steps: mining, exploration, documentation
and refactoring of crosscutting concerns. We discuss in detail a new approach
to aspect refactoring that is fully integrated with our strategy, and apply the
whole strategy to an object-oriented system, namely the JHotDraw framework. The
result of this migration is made available as an open-source project, which is
the largest aspect refactoring available to date. We report on our experiences
with conducting this case study and reflect on the success and challenges of
the migration process, as well as on the feasibility of automatic aspect
refactoring.
| cs.SE | in this paper we propose a systematic strategy for migrating crosscutting concerns in existing objectoriented systems to aspectbased solutions the proposed strategy consists of four steps mining exploration documentation and refactoring of crosscutting concerns we discuss in detail a new approach to aspect refactoring that is fully integrated with our strategy and apply the whole strategy to an objectoriented system namely the jhotdraw framework the result of this migration is made available as an opensource project which is the largest aspect refactoring available to date we report on our experiences with conducting this case study and reflect on the success and challenges of the migration process as well as on the feasibility of automatic aspect refactoring | [['in', 'this', 'paper', 'we', 'propose', 'a', 'systematic', 'strategy', 'for', 'migrating', 'crosscutting', 'concerns', 'in', 'existing', 'objectoriented', 'systems', 'to', 'aspectbased', 'solutions', 'the', 'proposed', 'strategy', 'consists', 'of', 'four', 'steps', 'mining', 'exploration', 'documentation', 'and', 'refactoring', 'of', 'crosscutting', 'concerns', 'we', 'discuss', 'in', 'detail', 'a', 'new', 'approach', 'to', 'aspect', 'refactoring', 'that', 'is', 'fully', 'integrated', 'with', 'our', 'strategy', 'and', 'apply', 'the', 'whole', 'strategy', 'to', 'an', 'objectoriented', 'system', 'namely', 'the', 'jhotdraw', 'framework', 'the', 'result', 'of', 'this', 'migration', 'is', 'made', 'available', 'as', 'an', 'opensource', 'project', 'which', 'is', 'the', 'largest', 'aspect', 'refactoring', 'available', 'to', 'date', 'we', 'report', 'on', 'our', 'experiences', 'with', 'conducting', 'this', 'case', 'study', 'and', 'reflect', 'on', 'the', 'success', 'and', 'challenges', 'of', 'the', 'migration', 'process', 'as', 'well', 'as', 'on', 'the', 'feasibility', 'of', 'automatic', 'aspect', 'refactoring']] | [-0.10280422539976627, -0.022297016334588356, -0.057600027826898124, 0.009726307069982083, -0.1051436721144811, -0.09453187655333592, 0.06929111755351819, 0.4039445456603299, -0.2511761085818643, -0.33839647175906146, 0.14328469930155932, -0.24015387371182442, -0.17158427991367795, 0.1864681686072246, -0.11673667885606055, 0.07713981433809512, 0.10768001009102748, -0.03973776669970349, 0.003852722204654761, -0.2593122151568937, 0.3657489443116862, 0.0721098280243535, 0.30364255680014257, 0.06886878199065509, 0.06243149217866037, 0.005484857776647677, -0.07802894147436903, -0.03341426888642752, -0.11865715104105892, 0.17484335572985205, 0.2975729089473253, 0.24918682305952128, 0.3260864276681905, -0.3712074677662357, -0.13235532953454507, -0.0041266148262049844, 0.17055899317011886, 0.11919890155347632, -0.08006834315196813, -0.25977156908939714, 0.07495303302193465, -0.227936146426541, -0.11969173715206916, -0.08801015962077224, 0.009946265517045623, -0.027778803753545103, -0.22703956433612368, -0.013249481973521736, 0.08544124593330628, 0.11176940904849249, -0.060387899722580025, -0.1321075335337335, 0.05048500585025582, 0.16146653504313335, 0.07420036315933154, 0.019615604340746676, 0.14278396113735178, -0.08302793022366646, -0.17120226179452047, 0.4039761976703354, -0.025092411687111724, -0.1709206073059012, 0.2242197460454443, -0.03286331021631866, -0.18605554126527, 0.03326042044259932, 0.2332604557559218, 0.1267446093261242, -0.2088118290791855, 0.039714767549024976, 0.012739536749280017, 0.19947673183481168, -0.013480306635408298, -0.031896838541750024, 0.20428666535602963, 0.31786626855559325, 0.061906319686576075, 0.17680404242634287, -0.04083496715630526, -0.09019514172256965, -0.2844298617468904, -0.2040569371179394, -0.10955271043855211, -0.011542226951164396, 0.0028257807600311933, -0.18726255447482285, 0.40740790843315744, 0.23820417983376463, 0.1279322995196866, 0.04799519971559715, 0.36843536551231926, 0.02712187800941098, 0.10148836077069459, 0.07074206380335533, 0.19788732714343654, -0.007315874626131162, 0.17501056447382207, -0.21189252279455895, 0.10940170566267941, 0.028014567781887625] |
707.2292 | Relativistic stars with a linear equation of state: analogy with
classical isothermal spheres and black holes | We complete our previous investigation concerning the structure and the
stability of "isothermal" spheres in general relativity. This concerns objects
that are described by a linear equation of state $P=q\epsilon$ so that the
pressure is proportional to the energy density. In the Newtonian limit $q\to
0$, this returns the classical isothermal equation of state. We consider
specifically a self-gravitating radiation (q=1/3), the core of neutron stars
(q=1/3) and a gas of baryons interacting through a vector meson field (q=1). We
study how the thermodynamical parameters scale with the size of the object and
find unusual behaviours due to the non-extensivity of the system. We compare
these scaling laws with the area scaling of the black hole entropy. We also
determine the domain of validity of these scaling laws by calculating the
critical radius above which relativistic stars described by a linear equation
of state become dynamically unstable. For photon stars, we show that the
criteria of dynamical and thermodynamical stability coincide. Considering
finite spheres, we find that the mass and entropy as a function of the central
density present damped oscillations. We give the critical value of the central
density, corresponding to the first mass peak, above which the series of
equilibria becomes unstable. Finally, we extend our results to d-dimensional
spheres. We show that the oscillations of mass versus central density disappear
above a critical dimension d_{crit}(q). For Newtonian isothermal stars (q=0) we
recover the critical dimension d_{crit}=10. For the stiffest stars (q=1) we
find d_{crit}=9 and for a self-gravitating radiation (q=1/d) we find
d_{crit}=9.96404372... very close to 10. Finally, we give analytical solutions
of relativistic isothermal spheres in 2D gravity.
| astro-ph gr-qc | we complete our previous investigation concerning the structure and the stability of isothermal spheres in general relativity this concerns objects that are described by a linear equation of state pqepsilon so that the pressure is proportional to the energy density in the newtonian limit qto 0 this returns the classical isothermal equation of state we consider specifically a selfgravitating radiation q13 the core of neutron stars q13 and a gas of baryons interacting through a vector meson field q1 we study how the thermodynamical parameters scale with the size of the object and find unusual behaviours due to the nonextensivity of the system we compare these scaling laws with the area scaling of the black hole entropy we also determine the domain of validity of these scaling laws by calculating the critical radius above which relativistic stars described by a linear equation of state become dynamically unstable for photon stars we show that the criteria of dynamical and thermodynamical stability coincide considering finite spheres we find that the mass and entropy as a function of the central density present damped oscillations we give the critical value of the central density corresponding to the first mass peak above which the series of equilibria becomes unstable finally we extend our results to ddimensional spheres we show that the oscillations of mass versus central density disappear above a critical dimension d_critq for newtonian isothermal stars q0 we recover the critical dimension d_crit10 for the stiffest stars q1 we find d_crit9 and for a selfgravitating radiation q1d we find d_crit996404372 very close to 10 finally we give analytical solutions of relativistic isothermal spheres in 2d gravity | [['we', 'complete', 'our', 'previous', 'investigation', 'concerning', 'the', 'structure', 'and', 'the', 'stability', 'of', 'isothermal', 'spheres', 'in', 'general', 'relativity', 'this', 'concerns', 'objects', 'that', 'are', 'described', 'by', 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707.2293 | Worm Epidemics in Wireless Adhoc Networks | A dramatic increase in the number of computing devices with wireless
communication capability has resulted in the emergence of a new class of
computer worms which specifically target such devices. The most striking
feature of these worms is that they do not require Internet connectivity for
their propagation but can spread directly from device to device using a
short-range radio communication technology, such as WiFi or Bluetooth. In this
paper, we develop a new model for epidemic spreading of these worms and
investigate their spreading in wireless ad hoc networks via extensive Monte
Carlo simulations. Our studies show that the threshold behaviour and dynamics
of worm epidemics in these networks are greatly affected by a combination of
spatial and temporal correlations which characterize these networks, and are
significantly different from the previously studied epidemics in the Internet.
| cs.NI cond-mat.stat-mech cs.CR physics.soc-ph | a dramatic increase in the number of computing devices with wireless communication capability has resulted in the emergence of a new class of computer worms which specifically target such devices the most striking feature of these worms is that they do not require internet connectivity for their propagation but can spread directly from device to device using a shortrange radio communication technology such as wifi or bluetooth in this paper we develop a new model for epidemic spreading of these worms and investigate their spreading in wireless ad hoc networks via extensive monte carlo simulations our studies show that the threshold behaviour and dynamics of worm epidemics in these networks are greatly affected by a combination of spatial and temporal correlations which characterize these networks and are significantly different from the previously studied epidemics in the internet | [['a', 'dramatic', 'increase', 'in', 'the', 'number', 'of', 'computing', 'devices', 'with', 'wireless', 'communication', 'capability', 'has', 'resulted', 'in', 'the', 'emergence', 'of', 'a', 'new', 'class', 'of', 'computer', 'worms', 'which', 'specifically', 'target', 'such', 'devices', 'the', 'most', 'striking', 'feature', 'of', 'these', 'worms', 'is', 'that', 'they', 'do', 'not', 'require', 'internet', 'connectivity', 'for', 'their', 'propagation', 'but', 'can', 'spread', 'directly', 'from', 'device', 'to', 'device', 'using', 'a', 'shortrange', 'radio', 'communication', 'technology', 'such', 'as', 'wifi', 'or', 'bluetooth', 'in', 'this', 'paper', 'we', 'develop', 'a', 'new', 'model', 'for', 'epidemic', 'spreading', 'of', 'these', 'worms', 'and', 'investigate', 'their', 'spreading', 'in', 'wireless', 'ad', 'hoc', 'networks', 'via', 'extensive', 'monte', 'carlo', 'simulations', 'our', 'studies', 'show', 'that', 'the', 'threshold', 'behaviour', 'and', 'dynamics', 'of', 'worm', 'epidemics', 'in', 'these', 'networks', 'are', 'greatly', 'affected', 'by', 'a', 'combination', 'of', 'spatial', 'and', 'temporal', 'correlations', 'which', 'characterize', 'these', 'networks', 'and', 'are', 'significantly', 'different', 'from', 'the', 'previously', 'studied', 'epidemics', 'in', 'the', 'internet']] | [-0.17669632411808334, 0.09794351630368317, -0.03902798603343213, 0.05239435637464924, -0.03897699982226983, -0.16545041439456554, 0.06132524632287966, 0.4226994688527482, -0.263663676136554, -0.3202989928043672, 0.11142537900566185, -0.2751163607939099, -0.2702433005957626, 0.20265583475511248, -0.0679206201929028, 0.06330336323033434, 0.07428233516164613, 0.016442800866079646, 0.021916849330495907, -0.21416661012781799, 0.2960054859753535, 0.0581187807893666, 0.32961739117728317, 0.07619467580072364, 0.017526995829122996, -0.0027799423270770452, -0.04669598556619926, 0.02366396855141451, -0.0916402967359716, 0.13224328143087072, 0.27991303001244955, 0.15519334475023766, 0.2946039398275588, -0.500219747872792, -0.3359963233671049, 0.1390010530645721, 0.21705814426506523, 0.12123935189553584, -0.04716107327691585, -0.31267302570334315, 0.11047515944054309, -0.248932882592789, -0.07827527807106903, -0.0373326233064715, -0.01928052219161152, 0.10653328267011085, -0.21594197127668963, 0.02351740277270331, -0.01177063262103683, 0.09662856751318721, 0.0430722206278218, -0.045650570177520715, -0.016776277595301613, 0.18068098877709576, 0.012832669456265051, -0.04016822556468801, 0.16718835273186547, -0.19293160855525385, -0.1679113858938557, 0.32311778026123117, 0.019773089340514076, -0.13692581638299528, 0.22604946473640572, -0.0984925622038499, -0.10712932687538275, 0.11395463492911663, 0.2497615638379361, 0.07581195445989605, -0.19281391508156692, -0.0024086603279613013, 0.012432803902911009, 0.13494319605290972, 0.030682982299068982, 0.08087094142407614, 0.1560504135784496, 0.2208227853997726, 0.06600618999566965, 0.0708677624454246, -0.11495697722654707, -0.12145619557993691, -0.18932581229991938, -0.13026150635844708, -0.19811902883850094, 0.0785720795623484, -0.1045824307468244, -0.16487006137290303, 0.40577258880719214, 0.21282842190066067, 0.147135448387151, 0.07555249942650162, 0.297950407272599, 0.013159236211302506, 0.1307918346949248, 0.1070500357810707, 0.2248732286036341, 0.03323919569264527, 0.19238832725524685, -0.17877148220274788, 0.1525982774991243, -0.03244010986204524] |
707.2294 | Search for a High-Mass Diphoton State and Limits on Randall-Sundrum
Gravitons at CDF | We have performed a search for new particles which decay to two photons using
1.2/fb of integrated luminosity from p-pbar collisions at sqrt(s) = 1.96 TeV
collected using the CDF II Detector at the Fermilab Tevatron. We find the
diphoton mass spectrum to be in agreement with the standard model expectation,
and set limits on the cross section times branching ratio for the
Randall-Sundrum graviton, as a function of diphoton mass. We subsequently
derive lower limits for the graviton mass of 230 GeV/c2 and 850 GeV/c2, at the
95% confidence level, for coupling parameters (k/M_Pl) of 0.01 and 0.1
respectively.
| hep-ex | we have performed a search for new particles which decay to two photons using 12fb of integrated luminosity from ppbar collisions at sqrts 196 tev collected using the cdf ii detector at the fermilab tevatron we find the diphoton mass spectrum to be in agreement with the standard model expectation and set limits on the cross section times branching ratio for the randallsundrum graviton as a function of diphoton mass we subsequently derive lower limits for the graviton mass of 230 gevc2 and 850 gevc2 at the 95 confidence level for coupling parameters km_pl of 001 and 01 respectively | [['we', 'have', 'performed', 'a', 'search', 'for', 'new', 'particles', 'which', 'decay', 'to', 'two', 'photons', 'using', '12fb', 'of', 'integrated', 'luminosity', 'from', 'ppbar', 'collisions', 'at', 'sqrts', '196', 'tev', 'collected', 'using', 'the', 'cdf', 'ii', 'detector', 'at', 'the', 'fermilab', 'tevatron', 'we', 'find', 'the', 'diphoton', 'mass', 'spectrum', 'to', 'be', 'in', 'agreement', 'with', 'the', 'standard', 'model', 'expectation', 'and', 'set', 'limits', 'on', 'the', 'cross', 'section', 'times', 'branching', 'ratio', 'for', 'the', 'randallsundrum', 'graviton', 'as', 'a', 'function', 'of', 'diphoton', 'mass', 'we', 'subsequently', 'derive', 'lower', 'limits', 'for', 'the', 'graviton', 'mass', 'of', '230', 'gevc2', 'and', '850', 'gevc2', 'at', 'the', '95', 'confidence', 'level', 'for', 'coupling', 'parameters', 'km_pl', 'of', '001', 'and', '01', 'respectively']] | [-0.016313599213849603, 0.19339874553296602, -0.052676547048237134, 0.13965211735774924, -0.01704154739325697, -0.105924488101719, 0.06593652234196362, 0.33808200223126794, -0.1022036631739783, -0.3883188125310522, 0.009184737563970488, -0.3552008958984957, 0.13192541145183373, 0.1749373556519247, 0.10605814579799018, 0.12363484507483063, 0.11196817040462236, -2.2933112852501147e-05, -0.0501032445797017, -0.23322048415476926, 0.24791355528445405, 0.102843025388817, 0.23713284875783655, 0.12916596119546078, 0.1260246296102802, 0.004943381451691191, 0.01594842095492464, -0.13837225314681278, -0.17309429870937207, 0.06831527228327233, 0.21614514178869249, 0.08999903308171214, 0.08211584090057647, -0.28250749364514094, -0.017106032589299963, 0.1517603050569317, 0.16492481843916454, 0.014651803576124061, -0.04613216149484306, -0.35486517506040105, 0.15877447792357116, -0.24709085003482273, -0.0827421037682492, 0.10274473848197647, 0.01255393135502483, -0.1320583967285024, -0.35841201723675536, 0.14261282664827174, -0.12611994502896612, 0.07800666629477884, -0.03298148865143609, -0.2392570640600164, -0.10859154001339291, -0.06384098673747345, 0.0781013573498719, 0.05225583361526434, 0.20662513969823568, -0.1333314710663575, -0.1952992917715826, 0.2839237136385319, -0.13430769965428896, -0.1339344822124324, 0.18499301589385728, -0.21590877061408728, -0.11936832325899917, 0.1915367380104432, 0.31088908053928693, 0.04009974825741591, -0.2682732564368934, 0.15135293205402736, 0.006515412529662364, 0.22960639272750627, 0.13687638411618241, 0.07063958920810944, 0.24439916121914532, 0.21298707008474704, 0.004439766314162901, 0.046056796663741795, -0.2058763921030355, -0.02409502412333633, -0.449036244048991, -0.08212933261323759, -0.08473922103300051, 0.06224189612148988, -0.10432782964360537, -0.02935569082866564, 0.3312485861883621, 0.1518378404199588, 0.3535129085484177, 0.14309448742829828, 0.24489243474619632, 0.1832419858019237, 0.07268408347024685, 0.0815917608243498, 0.38008860457745014, 0.12645472502665162, 0.15106117096494395, -0.16934716987724632, -0.04786724369559023, 0.03239469730172946] |
707.2295 | Two polynomial algorithms for special maximum matching constructing in
trees | For an arbitrary tree we investigate the problems of constructing a maximum
matching which minimizes or maximizes the cardinality of a maximum matching of
the graph obtained from original one by its removal and present corresponding
polynomial algorithms.
| cs.DM | for an arbitrary tree we investigate the problems of constructing a maximum matching which minimizes or maximizes the cardinality of a maximum matching of the graph obtained from original one by its removal and present corresponding polynomial algorithms | [['for', 'an', 'arbitrary', 'tree', 'we', 'investigate', 'the', 'problems', 'of', 'constructing', 'a', 'maximum', 'matching', 'which', 'minimizes', 'or', 'maximizes', 'the', 'cardinality', 'of', 'a', 'maximum', 'matching', 'of', 'the', 'graph', 'obtained', 'from', 'original', 'one', 'by', 'its', 'removal', 'and', 'present', 'corresponding', 'polynomial', 'algorithms']] | [-0.12195188429598745, 0.040666825444771494, -0.05663909581734946, 0.047943499502970985, -0.08215495673204332, -0.07897114680197678, 0.09583982493801925, 0.3097089370099926, -0.31361694251628297, -0.34248361044171216, 0.13809259067975768, -0.2776793487566082, -0.13741341024318612, 0.1234083715029747, -0.07980068900475376, 0.09252239797895431, 0.10831823637463937, 0.1226773509069493, -0.09117915023020223, -0.23941782687095264, 0.30839821348260893, 0.035831291988295946, 0.24726902265224213, 0.034608329413458705, 0.20238735732671462, 0.1078889146814809, -0.059963909198382966, 0.07552050822414458, -0.16145739420072028, 0.18231050856411457, 0.19023372042973183, 0.26327181244759185, 0.27329652942717075, -0.37047729886284, -0.15369161313987875, 0.20024527900999314, 0.09528429861989264, 0.13363246537291593, 0.006966202532088286, -0.19434145284130386, 0.15760367886947566, -0.09365320156671499, -0.057503516994122615, 0.047948850024687614, -0.005283567123115063, 0.002364173727600198, -0.34623599831799146, -0.01653670166668139, 0.040826692319426094, 0.017221844093383926, -0.022322986179987264, -0.17499081618887813, 0.0016583444084972143, 0.11566209472642329, -0.06437278364932067, 0.055749531198096905, 0.04286969592794776, -0.1650264604433783, -0.2009289290596682, 0.4012556668174894, -0.052692338628204244, -0.14093064198172406, 0.09484119399597771, -0.027887666757267556, -0.10461353761830221, 0.1349338790842969, 0.15409427094518355, 0.16152499356356106, -0.13592593952719317, 0.0838717872041008, -0.08356764298054929, 0.12124171237902422, 0.14997605888761187, -0.018662323685068833, 0.1678602723894935, 0.14558314701609656, 0.22000335455921136, 0.2683421983138511, -0.041065594279452375, -0.008685825674451496, -0.2751779683718556, -0.10129081967629884, -0.24329388634252705, -0.03012024934746717, -0.21650691810760977, -0.237254684545884, 0.45467239481053856, 0.10756981215978924, 0.23563923941631065, 0.1430765155635431, 0.2905398466085133, 0.18129028034347452, 0.01533430355668411, 0.17398967377008184, 0.17758564609960703, 0.11057640355398976, -0.05996419322725974, -0.254620254621841, 0.10667002614661071, 0.13063912441659914] |
707.2296 | Counting rational points on cubic hypersurfaces | Let X be a geometrically integral projective cubic hypersurface defined over
the rationals, with dimension D and singular locus of dimension at most D-4.
For any \epsilon>0, we show that X contains O(B^{D+\epsilon}) rational points
of height at most B. The implied constant in this estimate depends upon the
choice of \epsilon and the coefficients of the cubic form defining X.
| math.NT math.AG | let x be a geometrically integral projective cubic hypersurface defined over the rationals with dimension d and singular locus of dimension at most d4 for any epsilon0 we show that x contains obdepsilon rational points of height at most b the implied constant in this estimate depends upon the choice of epsilon and the coefficients of the cubic form defining x | [['let', 'x', 'be', 'a', 'geometrically', 'integral', 'projective', 'cubic', 'hypersurface', 'defined', 'over', 'the', 'rationals', 'with', 'dimension', 'd', 'and', 'singular', 'locus', 'of', 'dimension', 'at', 'most', 'd4', 'for', 'any', 'epsilon0', 'we', 'show', 'that', 'x', 'contains', 'obdepsilon', 'rational', 'points', 'of', 'height', 'at', 'most', 'b', 'the', 'implied', 'constant', 'in', 'this', 'estimate', 'depends', 'upon', 'the', 'choice', 'of', 'epsilon', 'and', 'the', 'coefficients', 'of', 'the', 'cubic', 'form', 'defining', 'x']] | [-0.2301173353412499, 0.06438064935209695, -0.046142614989851914, -0.046578919773067655, -0.05373101298076411, -0.1839852804550901, 0.03216111046882967, 0.29236344586436946, -0.2947901269304566, -0.17266702211151522, 0.06053810311908213, -0.28955679608819385, -0.10920967769440419, 0.21255055315171678, -0.05983309228904545, -0.04502553855806279, -0.0382299441145733, 0.14400707310220848, -0.1199435318315712, -0.36516157562534013, 0.3761673971700172, -0.08028697629148761, 0.14843596370580295, 0.04465839310238759, 0.182327612345883, 0.044127806446825464, 0.02058997966038684, 0.016299592047774543, -0.1996830252199288, 0.11732093211806689, 0.2765471919362123, 0.05547781755061199, 0.20027282995482285, -0.3111839181743562, -0.17908591469749807, 0.2237613743559147, 0.13945772068885465, -0.03330576526156316, 0.06197760691866279, -0.16624675284450252, 0.11582122027757577, -0.045865264565994344, -0.25669919117353857, -0.04803499633756777, 0.10673552214478453, 0.0033945863756040732, -0.2928694722553094, 0.02486753890601297, 0.06500414555581907, 0.1395626313208292, -0.01700882683508098, -0.16864993606383602, -0.09774536380233864, 0.01706193994808321, -0.00780688418696324, 0.1414493482268881, 0.08195452173240483, -0.10496744759487532, -0.042158738678942126, 0.35342287614087886, -0.10362522777480383, -0.2265914973958085, 0.10075369426049292, -0.2350350965318891, -0.10983637500709544, 0.16639051778862873, 0.12464366392232477, 0.19573070701832573, 0.004029170299569766, 0.27660180353365527, -0.08477555369706048, 0.1815018885419704, 0.1498318426621457, -0.025784059357829393, 0.1379845059166352, 0.07566564287990332, 0.08768427100343008, 0.06382365578901954, -0.038593416466998556, -0.01861011842265725, -0.4203582733248671, -0.1554071244628479, -0.1990400530475502, 0.18021955881267787, -0.2324393344805382, -0.18563862885348498, 0.32328403838522113, 0.040088944230228664, 0.264861279943337, 0.06929356385699066, 0.1755132127708445, 0.08591852129126588, 0.03923779146377152, 0.12534254067577422, 0.10186098883859813, 0.10597194481330613, -0.04175965603790246, -0.15603704049717634, 0.08903755877787868, 0.19615940157091244] |
707.2297 | Edge colouring models for the Tutte polynomial and related graph
invariants | For integer q>1, we derive edge q-colouring models for (i) the Tutte
polynomial of a graph G on the hyperbola H_q, (ii) the symmetric weight
enumerator of the set of group-valued q-flows of G, and (iii) a more general
vertex colouring model partition function that includes these polynomials and
the principal specialization order q of Stanley's symmetric monochrome
polynomial. In the second half of the paper we exhibit a family of
non-symmetric edge q-colouring models defined on k-regular graphs, whose
partition functions for q >= k each evaluate the number of proper edge
k-colourings of G when G is Pfaffian.
| math.CO | for integer q1 we derive edge qcolouring models for i the tutte polynomial of a graph g on the hyperbola h_q ii the symmetric weight enumerator of the set of groupvalued qflows of g and iii a more general vertex colouring model partition function that includes these polynomials and the principal specialization order q of stanleys symmetric monochrome polynomial in the second half of the paper we exhibit a family of nonsymmetric edge qcolouring models defined on kregular graphs whose partition functions for q k each evaluate the number of proper edge kcolourings of g when g is pfaffian | [['for', 'integer', 'q1', 'we', 'derive', 'edge', 'qcolouring', 'models', 'for', 'i', 'the', 'tutte', 'polynomial', 'of', 'a', 'graph', 'g', 'on', 'the', 'hyperbola', 'h_q', 'ii', 'the', 'symmetric', 'weight', 'enumerator', 'of', 'the', 'set', 'of', 'groupvalued', 'qflows', 'of', 'g', 'and', 'iii', 'a', 'more', 'general', 'vertex', 'colouring', 'model', 'partition', 'function', 'that', 'includes', 'these', 'polynomials', 'and', 'the', 'principal', 'specialization', 'order', 'q', 'of', 'stanleys', 'symmetric', 'monochrome', 'polynomial', 'in', 'the', 'second', 'half', 'of', 'the', 'paper', 'we', 'exhibit', 'a', 'family', 'of', 'nonsymmetric', 'edge', 'qcolouring', 'models', 'defined', 'on', 'kregular', 'graphs', 'whose', 'partition', 'functions', 'for', 'q', 'k', 'each', 'evaluate', 'the', 'number', 'of', 'proper', 'edge', 'kcolourings', 'of', 'g', 'when', 'g', 'is', 'pfaffian']] | [-0.20449010715511037, 0.08337633736070474, -0.04444848570725596, -0.004225631005710409, -0.11401057562538974, -0.18206327634255345, 0.023855848454072008, 0.35080114898404907, -0.3011510941527822, -0.24932169388713582, 0.051086918791822554, -0.27436955235138233, -0.17672315737166042, 0.10145722259292189, -0.050980130056090346, 0.040441691875457764, 0.05866834029973465, 0.12683071238844065, -0.049825132924265096, -0.2892545475876933, 0.3578380901195413, -0.07860521983583363, 0.16289724517917756, 0.038789661895787836, 0.06225993393977382, 0.05517530289231515, -0.019732344753051898, 0.022920512321062993, -0.18574158213737157, 0.09521518250433159, 0.25818473539098075, 0.13802152594589456, 0.22453154353614974, -0.3394931941198147, -0.08636569388077728, 0.22435564591492319, 0.09847941820519235, -0.0052070508577993935, 0.042409763894042676, -0.17269387782304263, 0.12002205892408989, -0.17834561318634268, -0.14493627198591677, 0.009876865009796254, 0.15299108159747354, 0.038814854532556266, -0.33143777027726173, -0.005816722032138888, 0.1297533631904469, 0.08048885018203636, 0.03736678634922267, -0.25266277434527684, -0.09129893471135245, 0.048652871800836044, -0.12393722206482435, 0.0808484693086345, 0.019532688123611162, -0.17398656039593483, -0.16278287206719422, 0.3760593573922738, -0.025184821069884417, -0.1802452314283927, 0.057057360253695934, -0.17212886261107513, -0.18676092202433062, 0.10067451857410524, 0.13651608148760788, 0.17780846631990707, -0.016556413205873876, 0.16731256249774135, -0.14849610358704718, 0.051523809252325824, 0.11189448824912614, -0.010376068446856486, 0.1597066218679657, 0.025222223088126248, 0.10698602847013698, 0.24374519214414211, 0.0013383260253360685, -0.012141795106688323, -0.35403390243953586, -0.14658905873645325, -0.25534443526851885, 0.07261440942862205, -0.21889174163397354, -0.24548754972234674, 0.4661077218396323, 0.060353374621849885, 0.16463524831057413, 0.15934915122652085, 0.17922198326726044, 0.13829562583910326, 0.04175557069271347, 0.1220918782483026, 0.03568863442015587, 0.19833776578473458, -0.0636090407033964, -0.18478853830251585, 0.040374320500817774, 0.21248575180474363] |
707.2298 | N=2 Instanton Calculus In Closed String Background | In this contribution we describe how to obtain instanton effects in four
dimensional gauge theories by computing string scattering amplitudes in
D3/D(-1) brane systems. In particular we study a system of fractional D3/D(-1)
branes in a Z_2 orbifold and in a Ramond-Ramond closed string background, and
show that it describes the gauge instantons of N=2 super Yang-Mills theory and
their interactions with the graviphoton of N=2. Using string theory methods we
compute the prepotential of the effective gauge theory exploiting the
localization methods of the instanton calculus, showing that this leads to the
same information given by the topological string.
| hep-th | in this contribution we describe how to obtain instanton effects in four dimensional gauge theories by computing string scattering amplitudes in d3d1 brane systems in particular we study a system of fractional d3d1 branes in a z_2 orbifold and in a ramondramond closed string background and show that it describes the gauge instantons of n2 super yangmills theory and their interactions with the graviphoton of n2 using string theory methods we compute the prepotential of the effective gauge theory exploiting the localization methods of the instanton calculus showing that this leads to the same information given by the topological string | [['in', 'this', 'contribution', 'we', 'describe', 'how', 'to', 'obtain', 'instanton', 'effects', 'in', 'four', 'dimensional', 'gauge', 'theories', 'by', 'computing', 'string', 'scattering', 'amplitudes', 'in', 'd3d1', 'brane', 'systems', 'in', 'particular', 'we', 'study', 'a', 'system', 'of', 'fractional', 'd3d1', 'branes', 'in', 'a', 'z_2', 'orbifold', 'and', 'in', 'a', 'ramondramond', 'closed', 'string', 'background', 'and', 'show', 'that', 'it', 'describes', 'the', 'gauge', 'instantons', 'of', 'n2', 'super', 'yangmills', 'theory', 'and', 'their', 'interactions', 'with', 'the', 'graviphoton', 'of', 'n2', 'using', 'string', 'theory', 'methods', 'we', 'compute', 'the', 'prepotential', 'of', 'the', 'effective', 'gauge', 'theory', 'exploiting', 'the', 'localization', 'methods', 'of', 'the', 'instanton', 'calculus', 'showing', 'that', 'this', 'leads', 'to', 'the', 'same', 'information', 'given', 'by', 'the', 'topological', 'string']] | [-0.16939996934961526, 0.17552607635967432, -0.10551484917581547, 0.15405068452237175, -0.021932449024170637, -0.134942144327797, 0.0021033831010572614, 0.2897418535221368, -0.16970396483317018, -0.25615234416909516, 0.03697522451984696, -0.27215615309774877, -0.2317299943929538, 0.06908699788153172, -0.08345840790309011, 0.0006643439643085003, -0.04054163067601621, 0.0700959511823021, -0.10519350595306605, -0.29757233602926136, 0.3525016274629161, -0.03997365815099329, 0.26724326823838057, 0.07404289843980223, 0.10486504804342985, 0.02274138409877196, -0.043353714449331164, 0.02628308065235615, -0.1352224347933952, 0.17479604532942175, 0.24478264945326372, 0.06250285193324089, 0.0576417951611802, -0.4920490966551006, -0.21481124693527817, 0.05591727394610643, 0.18514286912046374, 0.19456147340126337, 0.0021854263823479414, -0.28964552863035353, 0.0695640437817201, -0.17212940098717808, -0.14427840443211606, -0.09315310081350617, 0.03507925196550787, -0.0814757213019766, -0.20174428440630435, 0.005791455335856881, -0.00477818408049643, 0.023702459977939724, -0.05924966191407293, -0.03742289179819636, -0.041819918137043714, 0.08778925413964317, 0.1483093761932105, 0.09841784835443831, 0.09963688699761405, -0.24336523043552005, -0.19731679644435643, 0.3731898275925778, -0.11852236872538924, -0.2533170920610428, 0.11777535684406758, -0.1393130196025595, -0.18655826159752906, 0.09662518086610362, 0.08749745443114079, 0.1886598792532459, -0.1101829362148419, 0.2796772970241727, -0.00040811941027641297, 0.12644646330736578, 0.09416867729043588, 0.05925758947618306, 0.23974561788141727, 0.10492926573147997, 0.03688652642536908, 0.1581341188866645, -0.024148331540636718, -0.1307765735127032, -0.4055978986248374, -0.12467660774476826, -0.09692674483405427, 0.13762258354807272, -0.14122792111200397, -0.19637613532599063, 0.3498248353973031, 0.14595751109241972, 0.1521536287292838, 0.05291120710899122, 0.20835795812308788, 0.118735077464371, 0.049270870734471825, 0.022754758396185935, 0.20046861220151185, 0.1702754887426272, 0.07559429979883134, -0.28366772970184684, -0.19120703839231282, 0.23249994505778887] |
707.2299 | Constraining interacting dark energy models with flux destabilization | A destabilization in the transfer energy flux from the vacuum to radiation,
for two vacuum decay laws relevant to the dark energy problem, is analyzed
using the Landau-Lifshitz fluctuation hydrodynamic theory. Assuming thermal (or
near thermal) equilibrium between the vacuum and radiation, at the earliest
epoch of the Universe expansion, we show that the law due to
renormalization-group running of the cosmological constant term, with
parameters chosen not to spoil the primordial nucleosynthesis scenario, does
soon drive the flux to fluctuate beyond its statistical average value thereby
distorting the cosmic background radiation spectrum beyond observational
limits. While the law coming from the saturated holographic dark energy does
not lead the flux to wildly fluctuate, a more realistic non--saturated form
shows again such anomalous behavior.
| gr-qc astro-ph hep-th | a destabilization in the transfer energy flux from the vacuum to radiation for two vacuum decay laws relevant to the dark energy problem is analyzed using the landaulifshitz fluctuation hydrodynamic theory assuming thermal or near thermal equilibrium between the vacuum and radiation at the earliest epoch of the universe expansion we show that the law due to renormalizationgroup running of the cosmological constant term with parameters chosen not to spoil the primordial nucleosynthesis scenario does soon drive the flux to fluctuate beyond its statistical average value thereby distorting the cosmic background radiation spectrum beyond observational limits while the law coming from the saturated holographic dark energy does not lead the flux to wildly fluctuate a more realistic nonsaturated form shows again such anomalous behavior | [['a', 'destabilization', 'in', 'the', 'transfer', 'energy', 'flux', 'from', 'the', 'vacuum', 'to', 'radiation', 'for', 'two', 'vacuum', 'decay', 'laws', 'relevant', 'to', 'the', 'dark', 'energy', 'problem', 'is', 'analyzed', 'using', 'the', 'landaulifshitz', 'fluctuation', 'hydrodynamic', 'theory', 'assuming', 'thermal', 'or', 'near', 'thermal', 'equilibrium', 'between', 'the', 'vacuum', 'and', 'radiation', 'at', 'the', 'earliest', 'epoch', 'of', 'the', 'universe', 'expansion', 'we', 'show', 'that', 'the', 'law', 'due', 'to', 'renormalizationgroup', 'running', 'of', 'the', 'cosmological', 'constant', 'term', 'with', 'parameters', 'chosen', 'not', 'to', 'spoil', 'the', 'primordial', 'nucleosynthesis', 'scenario', 'does', 'soon', 'drive', 'the', 'flux', 'to', 'fluctuate', 'beyond', 'its', 'statistical', 'average', 'value', 'thereby', 'distorting', 'the', 'cosmic', 'background', 'radiation', 'spectrum', 'beyond', 'observational', 'limits', 'while', 'the', 'law', 'coming', 'from', 'the', 'saturated', 'holographic', 'dark', 'energy', 'does', 'not', 'lead', 'the', 'flux', 'to', 'wildly', 'fluctuate', 'a', 'more', 'realistic', 'nonsaturated', 'form', 'shows', 'again', 'such', 'anomalous', 'behavior']] | [-0.10511483231112512, 0.18075007747017569, -0.1160168596918905, 0.11484753516701711, -0.07491318087071, -0.10141322849320263, 0.021568787264479927, 0.2846044309572467, -0.2629336633779589, -0.33758535679249513, 0.04427695222247782, -0.27895550426816745, 0.0035104028591435524, 0.17356807097084745, 0.018873936902250973, 0.01630231851454629, -0.009522083074590492, 0.031490505350032644, -0.025419919422992897, -0.18928705238842317, 0.3097412015889741, 0.15897552008860774, 0.29445258313048284, 0.06670846376613143, 0.05445511708967388, -0.059848741915512586, -0.024717184688685643, 0.0167549574492319, -0.1549798976989663, -0.005861968878889456, 0.14956302255684992, 0.07912375795985421, 0.184577357583499, -0.46874085779211694, -0.25975993598976566, 0.18922164276122086, 0.13158463620704658, 0.15037556911721045, -0.009120207265486017, -0.21676693667822908, 0.029671537611002642, -0.17732286939374922, -0.16593442224116334, -0.025359992559383353, -0.033994545912249916, -0.046029062393846555, -0.26473028727266334, 0.14094165756156848, 0.007229283121564696, -0.04999459936328593, -0.10798165877443558, -0.07647456982909541, -0.05834199702592507, 0.09285614967173446, 0.1363857112394931, -0.01174011628984684, 0.23464546909587713, -0.1893210843526533, -0.021622425386486874, 0.39756537939331704, -0.15020014688132272, -0.09916996689242942, 0.12804491027453613, -0.20699236050037848, -0.12167753439561854, 0.19655705256680508, 0.08107558860173149, 0.04844004023811243, -0.13265169234716356, 0.09051883337040988, 0.07590474446319163, 0.16968850012973793, 0.08205937301259368, 0.04642032253210463, 0.31691183431464576, 0.08406637535494331, 0.030999775570366653, 0.08976123590142496, -0.058500762803540114, -0.12696672892648606, -0.35506476330450704, -0.07534810933735102, -0.16101754463705864, 0.13109224837582237, -0.12506795970470957, -0.18485573247345466, 0.33829412382328883, 0.14404150775719185, 0.16082482715512836, 0.05769254479767574, 0.3098487225210955, 0.11361596265792727, 0.03592196819109602, 0.1033809398687745, 0.3600020173020781, 0.11087156184423234, 0.19277706965541228, -0.29517510228775323, 0.01816903148597527, 0.03174030553594592] |
707.23 | Vibrational energy relaxation (VER) of isotopically labeled amide I
modes in cytochrome c: Theoretical investigation of VER rates and pathways | Using a time-dependent perturbation theory, vibrational energy relaxation
(VER) of isotopically labeled amide I modes in cytochrome c solvated with water
is investigated. Contributions to the VER are decomposed into two contributions
from the protein and water. The VER pathways are visualized using radial and
angular excitation functions for resonant normal modes. Key differences of VER
among different amide I modes are demonstrated, leading to a detailed picture
of the spatial anisotropy of the VER. The results support the experimental
observation that amide I modes in proteins relax with sub picosecond
timescales, while the relaxation mechanism turns out to be sensitive to the
environment of the amide I mode.
| q-bio.BM | using a timedependent perturbation theory vibrational energy relaxation ver of isotopically labeled amide i modes in cytochrome c solvated with water is investigated contributions to the ver are decomposed into two contributions from the protein and water the ver pathways are visualized using radial and angular excitation functions for resonant normal modes key differences of ver among different amide i modes are demonstrated leading to a detailed picture of the spatial anisotropy of the ver the results support the experimental observation that amide i modes in proteins relax with sub picosecond timescales while the relaxation mechanism turns out to be sensitive to the environment of the amide i mode | [['using', 'a', 'timedependent', 'perturbation', 'theory', 'vibrational', 'energy', 'relaxation', 'ver', 'of', 'isotopically', 'labeled', 'amide', 'i', 'modes', 'in', 'cytochrome', 'c', 'solvated', 'with', 'water', 'is', 'investigated', 'contributions', 'to', 'the', 'ver', 'are', 'decomposed', 'into', 'two', 'contributions', 'from', 'the', 'protein', 'and', 'water', 'the', 'ver', 'pathways', 'are', 'visualized', 'using', 'radial', 'and', 'angular', 'excitation', 'functions', 'for', 'resonant', 'normal', 'modes', 'key', 'differences', 'of', 'ver', 'among', 'different', 'amide', 'i', 'modes', 'are', 'demonstrated', 'leading', 'to', 'a', 'detailed', 'picture', 'of', 'the', 'spatial', 'anisotropy', 'of', 'the', 'ver', 'the', 'results', 'support', 'the', 'experimental', 'observation', 'that', 'amide', 'i', 'modes', 'in', 'proteins', 'relax', 'with', 'sub', 'picosecond', 'timescales', 'while', 'the', 'relaxation', 'mechanism', 'turns', 'out', 'to', 'be', 'sensitive', 'to', 'the', 'environment', 'of', 'the', 'amide', 'i', 'mode']] | [-0.11070966978190006, 0.18381697261159163, -0.0460241355232621, 0.028184429464707953, -0.03148775139755202, -0.14633009981774137, 0.013160954388670213, 0.3990698813059188, -0.24852585980514869, -0.24781089062682873, -0.005170643938397733, -0.30400915160228353, -0.08437997326596615, 0.13853553101557112, 0.07805854314510975, -0.051126226288834675, 0.08092524998804229, -0.07110591995350402, 0.054887890429107834, -0.07201368919223411, 0.24410919848842325, 0.06750143168776065, 0.262603295445784, 0.10147283641395048, 0.04712517923726743, -0.0695135251067818, -0.010624566583236286, -0.027382287989293628, -0.14593777830592078, 0.11875216598374717, 0.275884648678192, 0.06392994404497018, 0.2208475264455747, -0.4520262735596764, -0.18684432882849777, 0.016594464433541813, 0.15944276885514003, 0.12110373430560693, 0.028156446643310403, -0.2962064345649213, 0.04509242910703798, -0.10199880706031011, -0.10110767812835514, -0.0539133338804502, 0.03175022246298987, 0.04786250931627348, -0.2403248598885353, 0.12814996707244614, 0.028339871897473248, 0.05727198824218107, -0.1259439117296539, -0.17310342827487155, -0.10309222913688955, 0.09452626858453411, 0.10517520943460046, -0.0007264125289036593, 0.1844102967529955, -0.045203654240782654, -0.09490710747676022, 0.34930068303279815, -0.07214575361699686, -0.1598692828738088, 0.19251893345616894, -0.13046762060989206, -0.15155392747752608, 0.21207655768909858, 0.08506535619941599, 0.12907013752489188, -0.15376361432152058, 0.003210088920591553, 0.05303534253184265, 0.19692842053129858, 0.08189776650450509, 0.06024773559456161, 0.2039604426934085, 0.15815668297854654, -0.018794023376299974, 0.1467647362989587, -0.15516668506855263, -0.07251792990628185, -0.24429788766428828, -0.14423580013841408, -0.15142612574582517, 0.02656588186573989, -0.02797251812010414, -0.08934089604235433, 0.45585328106418116, 0.02031680011113576, 0.15462417748901958, -0.014096285532647317, 0.2430903015470286, 0.04707714241989162, 0.07741400534223013, 0.023561651668929998, 0.24827978828357994, 0.16671978988590727, 0.0743271367167285, -0.3500668165303869, 0.03576790433325762, -0.007771536844586014] |
707.2301 | 2D velocity fields of simulated interacting disc galaxies | We investigate distortions in the velocity fields of disc galaxies and their
use to reveal the dynamical state of interacting galaxies at different
redshift. For that purpose, we model disc galaxies in combined
N-body/hydrodynamic simulations. 2D velocity fields of the gas are extracted
from these simulations which we place at different redshifts from z=0 to z=1 to
investigate resolution effects on the properties of the velocity field. To
quantify the structure of the velocity field we also perform a kinemetry
analysis. If the galaxy is undisturbed we find that the rotation curve
extracted from the 2D field agrees well with long-slit rotation curves. This is
not true for interacting systems, as the kinematic axis is not well defined and
does in general not coincide with the photometric axis of the system. For large
(Milky way type) galaxies we find that distortions are still visible at
intermediate redshifts but partly smeared out. Thus a careful analysis of the
velocity field is necessary before using it for a Tully-Fisher study. For small
galaxies (disc scale length ~2 kpc) even strong distortions are not visible in
the velocity field at z~0.5 with currently available angular resolution.
Therefore we conclude that current distant Tully-Fisher studies cannot give
reliable results for low-mass systems. Additionally to these studies we confirm
the power of near-infrared integral field spectrometers in combination with
adaptive optics (such as SINFONI) to study velocity fields of galaxies at high
redshift (z~2).
| astro-ph | we investigate distortions in the velocity fields of disc galaxies and their use to reveal the dynamical state of interacting galaxies at different redshift for that purpose we model disc galaxies in combined nbodyhydrodynamic simulations 2d velocity fields of the gas are extracted from these simulations which we place at different redshifts from z0 to z1 to investigate resolution effects on the properties of the velocity field to quantify the structure of the velocity field we also perform a kinemetry analysis if the galaxy is undisturbed we find that the rotation curve extracted from the 2d field agrees well with longslit rotation curves this is not true for interacting systems as the kinematic axis is not well defined and does in general not coincide with the photometric axis of the system for large milky way type galaxies we find that distortions are still visible at intermediate redshifts but partly smeared out thus a careful analysis of the velocity field is necessary before using it for a tullyfisher study for small galaxies disc scale length 2 kpc even strong distortions are not visible in the velocity field at z05 with currently available angular resolution therefore we conclude that current distant tullyfisher studies cannot give reliable results for lowmass systems additionally to these studies we confirm the power of nearinfrared integral field spectrometers in combination with adaptive optics such as sinfoni to study velocity fields of galaxies at high redshift z2 | [['we', 'investigate', 'distortions', 'in', 'the', 'velocity', 'fields', 'of', 'disc', 'galaxies', 'and', 'their', 'use', 'to', 'reveal', 'the', 'dynamical', 'state', 'of', 'interacting', 'galaxies', 'at', 'different', 'redshift', 'for', 'that', 'purpose', 'we', 'model', 'disc', 'galaxies', 'in', 'combined', 'nbodyhydrodynamic', 'simulations', '2d', 'velocity', 'fields', 'of', 'the', 'gas', 'are', 'extracted', 'from', 'these', 'simulations', 'which', 'we', 'place', 'at', 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707.2302 | Causality and Micro-Causality in Curved Spacetime | We consider how causality and micro-causality are realised in QED in curved
spacetime. The photon propagator is found to exhibit novel non-analytic
behaviour due to vacuum polarization, which invalidates the Kramers-Kronig
dispersion relation and calls into question the validity of micro-causality in
curved spacetime. This non-analyticity is ultimately related to the generic
focusing nature of congruences of geodesics in curved spacetime, as implied by
the null energy condition, and the existence of conjugate points. These results
arise from a calculation of the complete non-perturbative frequency dependence
of the vacuum polarization tensor in QED, using novel world-line path integral
methods together with the Penrose plane-wave limit of spacetime in the
neighbourhood of a null geodesic. The refractive index of curved spacetime is
shown to exhibit superluminal phase velocities, dispersion, absorption (due to
\gamma \to e^+e^-) and bi-refringence, but we demonstrate that the wavefront
velocity (the high-frequency limit of the phase velocity) is indeed c, thereby
guaranteeing that causality itself is respected.
| hep-th gr-qc | we consider how causality and microcausality are realised in qed in curved spacetime the photon propagator is found to exhibit novel nonanalytic behaviour due to vacuum polarization which invalidates the kramerskronig dispersion relation and calls into question the validity of microcausality in curved spacetime this nonanalyticity is ultimately related to the generic focusing nature of congruences of geodesics in curved spacetime as implied by the null energy condition and the existence of conjugate points these results arise from a calculation of the complete nonperturbative frequency dependence of the vacuum polarization tensor in qed using novel worldline path integral methods together with the penrose planewave limit of spacetime in the neighbourhood of a null geodesic the refractive index of curved spacetime is shown to exhibit superluminal phase velocities dispersion absorption due to gamma to ee and birefringence but we demonstrate that the wavefront velocity the highfrequency limit of the phase velocity is indeed c thereby guaranteeing that causality itself is respected | [['we', 'consider', 'how', 'causality', 'and', 'microcausality', 'are', 'realised', 'in', 'qed', 'in', 'curved', 'spacetime', 'the', 'photon', 'propagator', 'is', 'found', 'to', 'exhibit', 'novel', 'nonanalytic', 'behaviour', 'due', 'to', 'vacuum', 'polarization', 'which', 'invalidates', 'the', 'kramerskronig', 'dispersion', 'relation', 'and', 'calls', 'into', 'question', 'the', 'validity', 'of', 'microcausality', 'in', 'curved', 'spacetime', 'this', 'nonanalyticity', 'is', 'ultimately', 'related', 'to', 'the', 'generic', 'focusing', 'nature', 'of', 'congruences', 'of', 'geodesics', 'in', 'curved', 'spacetime', 'as', 'implied', 'by', 'the', 'null', 'energy', 'condition', 'and', 'the', 'existence', 'of', 'conjugate', 'points', 'these', 'results', 'arise', 'from', 'a', 'calculation', 'of', 'the', 'complete', 'nonperturbative', 'frequency', 'dependence', 'of', 'the', 'vacuum', 'polarization', 'tensor', 'in', 'qed', 'using', 'novel', 'worldline', 'path', 'integral', 'methods', 'together', 'with', 'the', 'penrose', 'planewave', 'limit', 'of', 'spacetime', 'in', 'the', 'neighbourhood', 'of', 'a', 'null', 'geodesic', 'the', 'refractive', 'index', 'of', 'curved', 'spacetime', 'is', 'shown', 'to', 'exhibit', 'superluminal', 'phase', 'velocities', 'dispersion', 'absorption', 'due', 'to', 'gamma', 'to', 'ee', 'and', 'birefringence', 'but', 'we', 'demonstrate', 'that', 'the', 'wavefront', 'velocity', 'the', 'highfrequency', 'limit', 'of', 'the', 'phase', 'velocity', 'is', 'indeed', 'c', 'thereby', 'guaranteeing', 'that', 'causality', 'itself', 'is', 'respected']] | [-0.16734366742457496, 0.18155184163479135, -0.12944322784605902, 0.073914591546054, -0.13594838294375222, -0.11904495570579457, -0.0012486616711157694, 0.36162742058513686, -0.21353871366009117, -0.23929639318957924, 0.016301045774889646, -0.26140680063981564, -0.1300132109725382, 0.155949946178589, -0.06062838482976076, 0.06808406058989931, -0.0005223807587753981, 0.0293284404091537, -0.07201863448572113, -0.15800416590791427, 0.35165679937636013, 0.06835946722130756, 0.31634423368959685, 0.07530547474889318, 0.10305350222770357, 0.025761121342657133, -0.017040102733881214, 0.06174757868866436, -0.09537919529439023, 0.07132696677945205, 0.20444615193264326, 0.07773252763727215, 0.16958530381962192, -0.38850377147318793, -0.21354783448186937, 0.07772983802205999, 0.15056230328555104, 0.10148386715663946, -0.023177645342366306, -0.3171191926114261, 0.024542598234984326, -0.08756722418474965, -0.2280579891601519, -0.07335379393043695, 0.007383914505771827, -0.055502615234581755, -0.20450953455874696, 0.14152202142868192, 0.07094749479329039, 0.018615412659710274, -0.04185892294772202, -0.004532536060287385, -0.047357896703761074, 0.03924472692597192, 0.12217898329836316, 0.008624744552071207, 0.11031807749518521, -0.10685692825209117, -0.0971435913874302, 0.4200787007925101, -0.051020633428220205, -0.22338759390477209, 0.11383225931494963, -0.2219369677331997, -0.08732357950066216, 0.15647065752127673, 0.13465838932897894, 0.1006968434623559, -0.13114914952529944, 0.16813803542900133, 0.011766354989958927, 0.1387047055468429, 0.15653958325565326, 0.09034691808919888, 0.21857432735109797, 0.0571852226217743, 0.033503689829922224, 0.12199795041087783, -0.04757461782719474, -0.08855659008258954, -0.39501643533585595, -0.17221841167774982, -0.15887019092006086, 0.09967158911749721, -0.14839280426313053, -0.2154194388544056, 0.3350340829929337, 0.1476272602863901, 0.14433808748763113, 0.027116018279775743, 0.26572603698587044, 0.16367085521560512, 0.0350689394188521, 0.09809481534466613, 0.320832037969376, 0.16866169810382417, 0.10984307847684249, -0.25144586182868806, -0.0328926228772616, 0.09309952481125947] |
707.2303 | The Refractive Index of Curved Spacetime: the Fate of Causality in QED | It has been known for a long time that vacuum polarization in QED leads to a
superluminal low-frequency phase velocity for light propagating in curved
spacetime. Assuming the validity of the Kramers-Kronig dispersion relation,
this would imply a superluminal wavefront velocity and the violation of
causality. Here, we calculate for the first time the full frequency dependence
of the refractive index using world-line sigma model techniques together with
the Penrose plane wave limit of spacetime in the neighbourhood of a null
geodesic. We find that the high-frequency limit of the phase velocity (i.e. the
wavefront velocity) is always equal to c and causality is assured. However, the
Kramers-Kronig dispersion relation is violated due to a non-analyticity of the
refractive index in the upper-half complex plane, whose origin may be traced to
the generic focusing property of null geodesic congruences and the existence of
conjugate points. This puts into question the issue of micro-causality, i.e.
the vanishing of commutators of field operators at spacelike separated points,
in local quantum field theory in curved spacetime.
| hep-th gr-qc | it has been known for a long time that vacuum polarization in qed leads to a superluminal lowfrequency phase velocity for light propagating in curved spacetime assuming the validity of the kramerskronig dispersion relation this would imply a superluminal wavefront velocity and the violation of causality here we calculate for the first time the full frequency dependence of the refractive index using worldline sigma model techniques together with the penrose plane wave limit of spacetime in the neighbourhood of a null geodesic we find that the highfrequency limit of the phase velocity ie the wavefront velocity is always equal to c and causality is assured however the kramerskronig dispersion relation is violated due to a nonanalyticity of the refractive index in the upperhalf complex plane whose origin may be traced to the generic focusing property of null geodesic congruences and the existence of conjugate points this puts into question the issue of microcausality ie the vanishing of commutators of field operators at spacelike separated points in local quantum field theory in curved spacetime | [['it', 'has', 'been', 'known', 'for', 'a', 'long', 'time', 'that', 'vacuum', 'polarization', 'in', 'qed', 'leads', 'to', 'a', 'superluminal', 'lowfrequency', 'phase', 'velocity', 'for', 'light', 'propagating', 'in', 'curved', 'spacetime', 'assuming', 'the', 'validity', 'of', 'the', 'kramerskronig', 'dispersion', 'relation', 'this', 'would', 'imply', 'a', 'superluminal', 'wavefront', 'velocity', 'and', 'the', 'violation', 'of', 'causality', 'here', 'we', 'calculate', 'for', 'the', 'first', 'time', 'the', 'full', 'frequency', 'dependence', 'of', 'the', 'refractive', 'index', 'using', 'worldline', 'sigma', 'model', 'techniques', 'together', 'with', 'the', 'penrose', 'plane', 'wave', 'limit', 'of', 'spacetime', 'in', 'the', 'neighbourhood', 'of', 'a', 'null', 'geodesic', 'we', 'find', 'that', 'the', 'highfrequency', 'limit', 'of', 'the', 'phase', 'velocity', 'ie', 'the', 'wavefront', 'velocity', 'is', 'always', 'equal', 'to', 'c', 'and', 'causality', 'is', 'assured', 'however', 'the', 'kramerskronig', 'dispersion', 'relation', 'is', 'violated', 'due', 'to', 'a', 'nonanalyticity', 'of', 'the', 'refractive', 'index', 'in', 'the', 'upperhalf', 'complex', 'plane', 'whose', 'origin', 'may', 'be', 'traced', 'to', 'the', 'generic', 'focusing', 'property', 'of', 'null', 'geodesic', 'congruences', 'and', 'the', 'existence', 'of', 'conjugate', 'points', 'this', 'puts', 'into', 'question', 'the', 'issue', 'of', 'microcausality', 'ie', 'the', 'vanishing', 'of', 'commutators', 'of', 'field', 'operators', 'at', 'spacelike', 'separated', 'points', 'in', 'local', 'quantum', 'field', 'theory', 'in', 'curved', 'spacetime']] | [-0.19620544189719127, 0.17142265594451328, -0.12832806027101384, 0.06581233600167978, -0.12340518846338065, -0.11162148626262829, 0.02239478137278512, 0.33794390709500094, -0.23970338075577868, -0.23011500463616427, 0.055803314409880886, -0.25986019453044573, -0.10563536027629424, 0.16910531738304635, -0.040877071386230084, 0.07117398154001274, -0.020558291906221753, 0.057497978295237256, -0.08832680411378428, -0.14930030244074202, 0.337021370092676, 0.03239910578896221, 0.289771919254472, 0.05418781475083246, 0.11474641235787529, 0.025119791096049452, -0.014768721985313073, 0.0637614788552154, -0.08666049713590869, 0.06207253600233854, 0.1919628813434823, 0.0825020508918739, 0.19904863493075606, -0.4010015569864153, -0.2298976642798331, 0.12499968101798067, 0.16073722710881405, 0.08463713065909513, -0.012201639018129191, -0.3020167505056355, 0.04093885077217411, -0.07692889757777398, -0.2521471997522453, -0.002844607882804609, 0.043776528671588426, -0.045138877726999795, -0.2082910891783806, 0.14574261047040257, 0.07739125031337271, 0.05652518042314776, -0.04694811327415222, -0.003940543127542286, -0.04430843550157383, 0.06480247499905742, 0.09565812970896526, 0.03334359077176865, 0.08469180909733724, -0.09644162191234185, -0.0685919782576135, 0.4059129393446889, -0.05476476192664297, -0.2189738199214392, 0.10773580412331947, -0.23158447909023547, -0.08401684587918265, 0.13069480221524749, 0.14739981616680334, 0.09190212728757131, -0.11635216634047306, 0.14941840339889426, -0.02494969462558312, 0.1659943862532863, 0.1570036961048346, 0.0671286688827522, 0.23478191257642872, 0.06455006011804792, 0.05792202030741233, 0.0934780877066044, -0.09265025122618745, -0.06554048814180959, -0.38086279043981625, -0.1991491954480271, -0.1698829436367189, 0.0749946793737637, -0.1514707791449595, -0.1995917487609593, 0.3654649071839525, 0.12974853990088092, 0.14960346508749647, 0.0459215965100451, 0.27290852122396403, 0.1640799008686677, 0.05597526368057904, 0.10213303750897677, 0.3308165567863808, 0.1835210384488795, 0.10853273050342767, -0.2210033679175099, -0.01095546492660752, 0.08949223745377421] |
707.2304 | Nonabelian strings in a dense matter | We consider gauge theories with scalar matter with and without supersymmetry
at nonzero chemical potential. It is argued that a chemical potential plays a
role similar to the FI term. We analyze theory at weak coupling regime at large
chemical potential and argue that it supports nonabelian non-BPS strings.
Worldsheet theory on the nonabelian string in a dense matter is briefly
discussed.
| hep-th hep-ph | we consider gauge theories with scalar matter with and without supersymmetry at nonzero chemical potential it is argued that a chemical potential plays a role similar to the fi term we analyze theory at weak coupling regime at large chemical potential and argue that it supports nonabelian nonbps strings worldsheet theory on the nonabelian string in a dense matter is briefly discussed | [['we', 'consider', 'gauge', 'theories', 'with', 'scalar', 'matter', 'with', 'and', 'without', 'supersymmetry', 'at', 'nonzero', 'chemical', 'potential', 'it', 'is', 'argued', 'that', 'a', 'chemical', 'potential', 'plays', 'a', 'role', 'similar', 'to', 'the', 'fi', 'term', 'we', 'analyze', 'theory', 'at', 'weak', 'coupling', 'regime', 'at', 'large', 'chemical', 'potential', 'and', 'argue', 'that', 'it', 'supports', 'nonabelian', 'nonbps', 'strings', 'worldsheet', 'theory', 'on', 'the', 'nonabelian', 'string', 'in', 'a', 'dense', 'matter', 'is', 'briefly', 'discussed']] | [-0.17698283990724914, 0.22550797659242827, -0.06792580166591271, 0.14267574848171563, -0.06322918501832793, -0.17751280156775348, 0.023311898994800306, 0.32574451723766906, -0.19222926093085158, -0.26105847712906616, 0.015084328150541912, -0.27358505714143955, -0.19715405309632902, 0.07612076878637797, 0.008045073403345962, -0.02523548910844951, -0.016118214105165774, 0.08833574784559108, -0.03505025023684626, -0.2502207866073736, 0.365973147097975, 0.01418679563568965, 0.26376530340301896, 0.13572856157477345, 0.10280143999825081, -0.013857950321248463, -0.0284191951490826, 0.0014302740474381754, -0.10855252302609451, 0.019053408245165503, 0.192996617466692, 0.004327787829923534, 0.16695605056180107, -0.4564171203321988, -0.2971687165329293, 0.1275465192814027, 0.12713052180685824, 0.1855735099018221, -0.12498788972152397, -0.2443735415055867, 0.12012440130309833, -0.18006133532992774, -0.20409001251720194, -0.12697861376669137, 0.07789947347895752, -0.101402486013549, -0.2387913592880772, 0.09242851910324046, -0.03188362354112248, 0.016361339378260797, -0.03745537116605368, -0.08231987104180359, -0.057516767185241464, 0.0170084465550439, 0.10976090780722218, 0.11758390321366248, 0.14825844838313998, -0.24013656543778075, -0.0671412453915353, 0.39703224941847787, -0.1299434839297206, -0.1956447469626343, 0.20938622837345447, -0.10053742018287941, -0.21600757334982196, 0.03945149550394666, 0.06685722970794286, 0.0862806317576718, -0.09510468493305868, 0.25425361376067984, 0.014063525884862869, 0.1458822406993638, 0.06544198866392817, 0.07800666450132285, 0.3714426277325519, 0.1476299255605667, 0.029817501173144387, 0.10211879195224854, 0.002000093651604989, -0.15481144454210036, -0.41775545447824464, -0.10242822509439241, -0.1307097122133259, 0.05803158869140691, -0.11345058321274983, -0.1666544363833964, 0.32235704701874524, 0.13342923667251824, 0.13825258480445032, -8.134019651239918e-05, 0.18561011889288503, 0.10035051792980201, 0.06715504706446682, 0.03147104882349771, 0.24219000188731438, 0.17046368422527466, 0.14981639163658744, -0.2773510013320183, -0.11769643259204683, 0.12393955679445137] |
707.2305 | String Landscape and the Standard Model of Particle Physics | In this paper we describe ideas about the string landscape, and how to relate
it to the physics of the Standard Model of particle physics. First, we give a
short status report about heterotic string compactifications. Then we focus on
the statistics of D-brane models, on the problem of moduli stabilization, and
finally on some attempts to derive a probability wave function in moduli space,
which goes beyond the purely statistical count of string vacua.
| hep-th | in this paper we describe ideas about the string landscape and how to relate it to the physics of the standard model of particle physics first we give a short status report about heterotic string compactifications then we focus on the statistics of dbrane models on the problem of moduli stabilization and finally on some attempts to derive a probability wave function in moduli space which goes beyond the purely statistical count of string vacua | [['in', 'this', 'paper', 'we', 'describe', 'ideas', 'about', 'the', 'string', 'landscape', 'and', 'how', 'to', 'relate', 'it', 'to', 'the', 'physics', 'of', 'the', 'standard', 'model', 'of', 'particle', 'physics', 'first', 'we', 'give', 'a', 'short', 'status', 'report', 'about', 'heterotic', 'string', 'compactifications', 'then', 'we', 'focus', 'on', 'the', 'statistics', 'of', 'dbrane', 'models', 'on', 'the', 'problem', 'of', 'moduli', 'stabilization', 'and', 'finally', 'on', 'some', 'attempts', 'to', 'derive', 'a', 'probability', 'wave', 'function', 'in', 'moduli', 'space', 'which', 'goes', 'beyond', 'the', 'purely', 'statistical', 'count', 'of', 'string', 'vacua']] | [-0.07686347037553787, 0.12954908731083076, -0.12493232487390439, 0.16853007432539016, -0.10777992798325917, -0.10087725767244896, 0.0967929652845487, 0.27849171741555134, -0.2563980673719197, -0.2902419463607172, 0.10460552328887085, -0.23854118465135496, -0.1729654315362374, 0.16986461355816573, -0.12070655272342265, 0.0192783412647744, -0.008495496846735477, 0.06381881048281987, -0.08166196404645841, -0.29638349458575247, 0.37027281485497954, 0.04762051633326337, 0.2764921614030997, 0.06272409819687406, 0.11419276284674804, 0.00319200457384189, -0.04314065852512916, -0.044024006853578615, -0.24089093080100915, 0.1634575828521823, 0.21013816553075837, 0.15925587765251598, 0.17129406248529752, -0.4925855746368567, -0.21498241902018586, 0.12336895567675432, 0.14525845766998827, 0.18313390085318437, 0.018530477137925723, -0.23222566181172927, 0.059831481461102766, -0.14606629183205466, -0.10805775140722593, -0.05586656120916208, 0.018161022396137316, 0.005067416106661161, -0.13471574847896894, 0.001883709318935871, 0.012600578144192695, 0.03181466779361169, -0.06205056513970097, -0.0851091522568216, 0.04361500273148219, 0.07096130512033899, 0.1494487076664033, 0.04804286792874336, 0.10688734285533429, -0.20726459917612375, -0.1607578439079225, 0.3623760205507278, -0.06021873485064134, -0.20059664105375608, 0.14781773392731945, -0.12312862603614727, -0.17912107082704704, 0.05592570692300797, 0.18482666159669559, 0.1369992577843368, -0.08747905256847541, 0.1901767347116644, -0.018632266620600905, 0.16790572193761666, 0.05092824841228624, 0.045929777299364406, 0.2519028098260363, 0.18870226050416627, 0.05158477275321881, 0.14567782018333675, -0.07458082288193206, -0.14263445553680262, -0.4421763640269637, -0.12014672336479028, -0.10253500181871156, 0.11022374187343909, -0.04741102794767357, -0.21424352033684652, 0.44701218634222945, 0.1844880209614833, 0.22726060590396324, 0.0866198562225327, 0.20627904734263816, 0.041468358412384984, -0.04566608746846517, -0.0004625442391261458, 0.2095773353416007, 0.1395389601883168, 0.0960550944817563, -0.18234399369607368, -0.06929229359452924, 0.15169903345406055] |
707.2306 | Parity, eulerian subgraphs and the Tutte polynomial | Identities obtained by elementary finite Fourier analysis are used to derive
a variety of evaluations of the Tutte polynomial of a graph G at certain points
(a,b) where (a-1)(b-1) equals 2 or 4. These evaluations are expressed in terms
of eulerian subgraphs of G and the size of subgraphs modulo 2,3,4 or 6. In
particular, a graph is found to have a nowhere-zero 4-flow if and only if there
is a correlation between the event that three subgraphs A,B,C chosen uniformly
at random have pairwise eulerian symmetric differences and the event that the
integer part of (|A| + |B| + |C|) / 3 is even. Some further evaluations of the
Tutte polynomial at points (a,b) where (a-1)(b-1) = 3 are also given that
illustrate the unifying power of the methods used. The connection between
results of Matiyasevich, Alon and Tarsi and Onn is highlighted by indicating
how they may all be derived by the techniques adopted in this paper.
| math.CO | identities obtained by elementary finite fourier analysis are used to derive a variety of evaluations of the tutte polynomial of a graph g at certain points ab where a1b1 equals 2 or 4 these evaluations are expressed in terms of eulerian subgraphs of g and the size of subgraphs modulo 234 or 6 in particular a graph is found to have a nowherezero 4flow if and only if there is a correlation between the event that three subgraphs abc chosen uniformly at random have pairwise eulerian symmetric differences and the event that the integer part of a b c 3 is even some further evaluations of the tutte polynomial at points ab where a1b1 3 are also given that illustrate the unifying power of the methods used the connection between results of matiyasevich alon and tarsi and onn is highlighted by indicating how they may all be derived by the techniques adopted in this paper | [['identities', 'obtained', 'by', 'elementary', 'finite', 'fourier', 'analysis', 'are', 'used', 'to', 'derive', 'a', 'variety', 'of', 'evaluations', 'of', 'the', 'tutte', 'polynomial', 'of', 'a', 'graph', 'g', 'at', 'certain', 'points', 'ab', 'where', 'a1b1', 'equals', '2', 'or', '4', 'these', 'evaluations', 'are', 'expressed', 'in', 'terms', 'of', 'eulerian', 'subgraphs', 'of', 'g', 'and', 'the', 'size', 'of', 'subgraphs', 'modulo', '234', 'or', '6', 'in', 'particular', 'a', 'graph', 'is', 'found', 'to', 'have', 'a', 'nowherezero', '4flow', 'if', 'and', 'only', 'if', 'there', 'is', 'a', 'correlation', 'between', 'the', 'event', 'that', 'three', 'subgraphs', 'abc', 'chosen', 'uniformly', 'at', 'random', 'have', 'pairwise', 'eulerian', 'symmetric', 'differences', 'and', 'the', 'event', 'that', 'the', 'integer', 'part', 'of', 'a', 'b', 'c', '3', 'is', 'even', 'some', 'further', 'evaluations', 'of', 'the', 'tutte', 'polynomial', 'at', 'points', 'ab', 'where', 'a1b1', '3', 'are', 'also', 'given', 'that', 'illustrate', 'the', 'unifying', 'power', 'of', 'the', 'methods', 'used', 'the', 'connection', 'between', 'results', 'of', 'matiyasevich', 'alon', 'and', 'tarsi', 'and', 'onn', 'is', 'highlighted', 'by', 'indicating', 'how', 'they', 'may', 'all', 'be', 'derived', 'by', 'the', 'techniques', 'adopted', 'in', 'this', 'paper']] | [-0.15414670818605491, 0.10081297925583298, -0.07159454679236778, 0.045270028589443574, -0.039848109469899244, -0.1244032283343615, 0.03182818187595976, 0.3580427229104023, -0.2666750671687506, -0.30903012584894896, 0.10891393454399921, -0.2977942656124792, -0.18006219230780018, 0.16768688856278577, -0.04334814503428436, 0.011851564190921284, 0.0777541134371272, 0.07076454369892035, -0.05143524506279538, -0.30204493167487184, 0.2919515030730479, -0.04193032614045566, 0.15415033366335856, 0.07237342883261942, 0.07548127418248764, -0.0021202649740922836, -0.06090684964531853, 0.08019376032349218, -0.1362917921077291, 0.09209587374822267, 0.28249146958752985, 0.14410224531086221, 0.24757867353337426, -0.3883271778723405, -0.12795603151523297, 0.16148361352707952, 0.14698699776443744, 0.012014127731127965, -0.005291603379432232, -0.2157836749383639, 0.16378455582645632, -0.13489443777699864, -0.06616400198770626, -0.04237577351779046, 0.09972712317661893, 0.0727550474416104, -0.28768179045329173, 0.030494444408536617, 0.09503302673148292, 0.11058495116810645, 0.05907168440640934, -0.17527801234184975, -0.028837086329416884, 0.10177467655622392, -0.006521841973787354, 0.08112742944710678, 0.05827391150617792, -0.11173106496102146, -0.15061384310247378, 0.400727885232998, -0.014622004073668992, -0.19950936392189994, 0.15721830926805494, -0.15345174737214562, -0.16029502289790298, 0.12348322360250619, 0.10553848764468585, 0.11881094355616839, -0.0990348593361916, 0.11304475649282517, -0.09310390045866371, 0.11797952435895681, 0.13020191702450956, -0.031016761416028583, 0.13463438156721813, 0.05127336585503672, 0.05242492422281254, 0.13119856639569927, -0.028177989529626024, -0.021807951863381952, -0.3110657590892046, -0.12656225343685476, -0.23175403934888422, 0.04318349385829342, -0.16908020752345046, -0.1494712595257067, 0.3967982821466942, 0.09937550813455374, 0.17716943377088154, 0.09238005387446573, 0.2168103394368964, 0.1006334947662488, 0.04320212742576616, 0.11454609547771753, 0.1576686216219734, 0.14813147175666547, 0.018047266988263977, -0.15321010607970698, 0.06319107478784938, 0.11544213897638744] |
707.2307 | Microcanonical quantum fluctuation theorems | Previously derived expressions for the characteristic function of work
performed on a quantum system by a classical external force are generalized to
arbitrary initial states of the considered system and to Hamiltonians with
degenerate spectra. In the particular case of microcanonical initial states
explicit expressions for the characteristic function and the corresponding
probability density of work are formulated. Their classical limit as well as
their relations to the respective canonical expressions are discussed. A
fluctuation theorem is derived that expresses the ratio of probabilities of
work for a process and its time reversal to the ratio of densities of states of
the microcanonical equilibrium systems with corresponding initial and final
Hamiltonians.From this Crooks-type fluctuation theorem a relation between
entropies of different systems can be derived which does not involve the time
reversed process. This entropy-from-work theorem provides an experimentally
accessible way to measure entropies.
| cond-mat.stat-mech | previously derived expressions for the characteristic function of work performed on a quantum system by a classical external force are generalized to arbitrary initial states of the considered system and to hamiltonians with degenerate spectra in the particular case of microcanonical initial states explicit expressions for the characteristic function and the corresponding probability density of work are formulated their classical limit as well as their relations to the respective canonical expressions are discussed a fluctuation theorem is derived that expresses the ratio of probabilities of work for a process and its time reversal to the ratio of densities of states of the microcanonical equilibrium systems with corresponding initial and final hamiltoniansfrom this crookstype fluctuation theorem a relation between entropies of different systems can be derived which does not involve the time reversed process this entropyfromwork theorem provides an experimentally accessible way to measure entropies | [['previously', 'derived', 'expressions', 'for', 'the', 'characteristic', 'function', 'of', 'work', 'performed', 'on', 'a', 'quantum', 'system', 'by', 'a', 'classical', 'external', 'force', 'are', 'generalized', 'to', 'arbitrary', 'initial', 'states', 'of', 'the', 'considered', 'system', 'and', 'to', 'hamiltonians', 'with', 'degenerate', 'spectra', 'in', 'the', 'particular', 'case', 'of', 'microcanonical', 'initial', 'states', 'explicit', 'expressions', 'for', 'the', 'characteristic', 'function', 'and', 'the', 'corresponding', 'probability', 'density', 'of', 'work', 'are', 'formulated', 'their', 'classical', 'limit', 'as', 'well', 'as', 'their', 'relations', 'to', 'the', 'respective', 'canonical', 'expressions', 'are', 'discussed', 'a', 'fluctuation', 'theorem', 'is', 'derived', 'that', 'expresses', 'the', 'ratio', 'of', 'probabilities', 'of', 'work', 'for', 'a', 'process', 'and', 'its', 'time', 'reversal', 'to', 'the', 'ratio', 'of', 'densities', 'of', 'states', 'of', 'the', 'microcanonical', 'equilibrium', 'systems', 'with', 'corresponding', 'initial', 'and', 'final', 'hamiltoniansfrom', 'this', 'crookstype', 'fluctuation', 'theorem', 'a', 'relation', 'between', 'entropies', 'of', 'different', 'systems', 'can', 'be', 'derived', 'which', 'does', 'not', 'involve', 'the', 'time', 'reversed', 'process', 'this', 'entropyfromwork', 'theorem', 'provides', 'an', 'experimentally', 'accessible', 'way', 'to', 'measure', 'entropies']] | [-0.13166801031705336, 0.1412179794234549, -0.13279013737956893, 0.10653652337306788, 0.023830138444107897, -0.12191327092244375, 0.06352180971579084, 0.30940357334119206, -0.2516165607598947, -0.29760872743733174, 0.053512338361478284, -0.22755431868994597, -0.10373762182574323, 0.21280823930675255, -0.015961422416520245, 0.09713763976098097, 0.025839177579519913, 0.05942856958334116, -0.1113426684540637, -0.19902951648155004, 0.33665472106407035, 0.06015113840731693, 0.29256024918558593, 0.05738016490078141, 0.10252810138812725, 0.023892218098440703, 0.013012679402736272, 0.0218327471933572, -0.15528899364707807, 0.10819755788233647, 0.23340026495304514, 0.11841231645316097, 0.19659069695688308, -0.394163038859025, -0.18329739578543824, 0.12072083014492871, 0.11975864086181243, 0.13116499110445354, 0.03808035222228934, -0.276101664631753, 0.06353760513149662, -0.18138724607118267, -0.17031756367415507, -0.07893953025208932, 0.060383802768609204, 0.05326972837421171, -0.2639577006954198, 0.13766156466420185, 0.10481043695719873, 0.04590641335973926, -0.09965091825261421, -0.116389033072529, -0.04394735828709148, 0.15653123547065448, 0.02885749772750832, -0.012857084340871648, 0.1385514005822136, -0.10946404754435181, -0.1087673634442613, 0.34963191616355527, -0.05813573364577923, -0.22321714266659098, 0.1824397968395831, -0.1286428457898821, -0.09102440267431398, 0.0711324284157009, 0.12223228088956564, 0.15054240456868148, -0.1671471395496781, 0.06906618258968683, -0.021243162629036035, 0.1150338395023124, 0.058609255916498446, 0.07451444941718158, 0.1980653919464519, 0.03605672189179834, 0.040941476504853434, 0.1776685270089458, -0.027802481221907, -0.16387940838549894, -0.33062023207122554, -0.16893113560393347, -0.22276867128717084, 0.07556928587090372, -0.05401845067922779, -0.16513414428642031, 0.34865258949485123, 0.09856391866800394, 0.22384220879221112, 0.10725034565040643, 0.2645250606674252, 0.23161698365088632, 0.008915585009149995, 0.014655986557225862, 0.20874420343402852, 0.18416933666300425, 0.09467656193433184, -0.20575004319845308, 0.0753981166169153, 0.07675942966833393] |
707.2308 | On real log canonical thresholds | We introduce real log canonical threshold and real jumping numbers for real
algebraic functions. A real jumping number is a root of the $b$-function up to
a sign if its difference with the minimal one is less than 1. The real log
canonical threshold, which is the minimal real jumping number, coincides up to
a sign with the maximal pole of the distribution defined by the complex power
of the absolute value of the function. However, this number may be greater than
1 if the codimension of the real zero locus of the function is greater than 1.
So it does not necessarily coincide with the maximal root of the b-function up
to a sign, nor with the log canonical threshold of the complexification. In
fact, the real jumping numbers can be even disjoint from the non-integral
jumping numbers of the complexification.
| math.AG | we introduce real log canonical threshold and real jumping numbers for real algebraic functions a real jumping number is a root of the bfunction up to a sign if its difference with the minimal one is less than 1 the real log canonical threshold which is the minimal real jumping number coincides up to a sign with the maximal pole of the distribution defined by the complex power of the absolute value of the function however this number may be greater than 1 if the codimension of the real zero locus of the function is greater than 1 so it does not necessarily coincide with the maximal root of the bfunction up to a sign nor with the log canonical threshold of the complexification in fact the real jumping numbers can be even disjoint from the nonintegral jumping numbers of the complexification | [['we', 'introduce', 'real', 'log', 'canonical', 'threshold', 'and', 'real', 'jumping', 'numbers', 'for', 'real', 'algebraic', 'functions', 'a', 'real', 'jumping', 'number', 'is', 'a', 'root', 'of', 'the', 'bfunction', 'up', 'to', 'a', 'sign', 'if', 'its', 'difference', 'with', 'the', 'minimal', 'one', 'is', 'less', 'than', '1', 'the', 'real', 'log', 'canonical', 'threshold', 'which', 'is', 'the', 'minimal', 'real', 'jumping', 'number', 'coincides', 'up', 'to', 'a', 'sign', 'with', 'the', 'maximal', 'pole', 'of', 'the', 'distribution', 'defined', 'by', 'the', 'complex', 'power', 'of', 'the', 'absolute', 'value', 'of', 'the', 'function', 'however', 'this', 'number', 'may', 'be', 'greater', 'than', '1', 'if', 'the', 'codimension', 'of', 'the', 'real', 'zero', 'locus', 'of', 'the', 'function', 'is', 'greater', 'than', '1', 'so', 'it', 'does', 'not', 'necessarily', 'coincide', 'with', 'the', 'maximal', 'root', 'of', 'the', 'bfunction', 'up', 'to', 'a', 'sign', 'nor', 'with', 'the', 'log', 'canonical', 'threshold', 'of', 'the', 'complexification', 'in', 'fact', 'the', 'real', 'jumping', 'numbers', 'can', 'be', 'even', 'disjoint', 'from', 'the', 'nonintegral', 'jumping', 'numbers', 'of', 'the', 'complexification']] | [-0.16867605450523782, 0.1462995057702589, -0.052301800986883085, 0.06284323506447499, -0.09995137389854226, -0.1275762345077811, 0.0381570760304974, 0.2709403730679671, -0.2826407320705623, -0.29248163201124733, 0.10249355361832987, -0.28832913410495703, -0.15348180224725477, 0.21681627738748638, -0.07284530711976785, 0.011940844264783253, 0.0072109110023773895, 0.16399141564033926, -0.08604069283186183, -0.29354091841829155, 0.3752606571258479, -0.019212385783837715, 0.20303405284829124, 0.04913746497698758, 0.10812457759772807, -0.02241578935907865, 0.04561771446196231, -0.007743925581732109, -0.07677230443051217, 0.09755211414992285, 0.1795435299585298, 0.13472116915640278, 0.25662576991074365, -0.32543805759714944, -0.11866049353741634, 0.2850065651795709, 0.1390859237675306, 0.007398017866596002, 0.0645983268082155, -0.17393143550807635, 0.16398914790727465, -0.1320822344860062, -0.1956977930680757, -0.010090797326304543, 0.06699936970097708, 0.03545953559239959, -0.257524104720034, 0.018104050485548417, 0.033424642235434184, 0.12641643129066157, 0.021213658772979562, -0.13924809031657429, -0.0595151269382102, 0.09356689767282404, 0.026700032465848546, 0.06831459225889977, 0.11620627940816045, -0.13394692286842463, -0.09764346917500903, 0.37359663142337346, -0.050641641522406, -0.24986396526629237, 0.16941389295069212, -0.22653736715345613, -0.04093397500872297, 0.18625732225982447, 0.06218180927106927, 0.14821798352419702, 0.011871496258093648, 0.10782307520480892, -0.08070948597988192, 0.15276911328743462, 0.10424924341463288, -0.062392433708481174, 0.12495179778017418, 0.0923289728324703, 0.11437451379688483, 0.08457166583377304, -0.051313200604800185, -0.11459759504101436, -0.3560481171425379, -0.2083806120003508, -0.23000316574356297, 0.13675503163284075, -0.1374124852860712, -0.18928845604540598, 0.40481898386661014, 0.0846654021281185, 0.2866701027575198, 0.12821104699945812, 0.2937633857085094, 0.18189239948020566, 0.10346042269407968, 0.06381734008048202, 0.14983857537842762, 0.08923240807924, 0.00827839171750025, -0.19635070191243742, 0.05921334837904384, 0.06077550895328463] |
707.2309 | Recent progress on supersymmetric effects in rare K decays | The dominant MSSM effects in the rare K decays, K+ --> pi+ nu nu bar, KL -->
pi0 nu nu bar, KL --> pi0 e+ e- and KL --> pi0 mu+ mu-, are discussed both
within and without the minimal flavor violation hypothesis, at moderate and
large tangent beta. In each case, the sensitivities to MSSM soft-breaking terms
are compared, laying emphasis on possible correlations among observables. In
most scenarios, rare K decays offer unique windows into the Delta S=1 sector of
the soft-breaking terms. Therefore, together with B-physics and collider
observables, these modes will be essential for reconstructing the still elusive
SUSY-breaking mechanism.
| hep-ph | the dominant mssm effects in the rare k decays k pi nu nu bar kl pi0 nu nu bar kl pi0 e e and kl pi0 mu mu are discussed both within and without the minimal flavor violation hypothesis at moderate and large tangent beta in each case the sensitivities to mssm softbreaking terms are compared laying emphasis on possible correlations among observables in most scenarios rare k decays offer unique windows into the delta s1 sector of the softbreaking terms therefore together with bphysics and collider observables these modes will be essential for reconstructing the still elusive susybreaking mechanism | [['the', 'dominant', 'mssm', 'effects', 'in', 'the', 'rare', 'k', 'decays', 'k', 'pi', 'nu', 'nu', 'bar', 'kl', 'pi0', 'nu', 'nu', 'bar', 'kl', 'pi0', 'e', 'e', 'and', 'kl', 'pi0', 'mu', 'mu', 'are', 'discussed', 'both', 'within', 'and', 'without', 'the', 'minimal', 'flavor', 'violation', 'hypothesis', 'at', 'moderate', 'and', 'large', 'tangent', 'beta', 'in', 'each', 'case', 'the', 'sensitivities', 'to', 'mssm', 'softbreaking', 'terms', 'are', 'compared', 'laying', 'emphasis', 'on', 'possible', 'correlations', 'among', 'observables', 'in', 'most', 'scenarios', 'rare', 'k', 'decays', 'offer', 'unique', 'windows', 'into', 'the', 'delta', 's1', 'sector', 'of', 'the', 'softbreaking', 'terms', 'therefore', 'together', 'with', 'bphysics', 'and', 'collider', 'observables', 'these', 'modes', 'will', 'be', 'essential', 'for', 'reconstructing', 'the', 'still', 'elusive', 'susybreaking', 'mechanism']] | [-0.16380529329180718, 0.26553833520039916, -0.017340751416049897, 0.1564789098734036, -0.05784694803878665, -0.2211616455297917, 0.0920547630940564, 0.26879318807972596, -0.23746773637481966, -0.19298982266336678, -0.02773555635882076, -0.3328176355618052, 0.015033989604562521, 0.12331275824457406, 0.098136965718586, 0.085514283698285, 0.04607930564321577, 0.015509288487955929, -0.04628483397245873, -0.14293390652397647, 0.21756337502039969, 0.06604916788637638, 0.17364378903992475, 0.061625691428780556, -0.05281445759406779, -0.06705102943349629, -0.06317925055976957, -0.07997562609612942, -0.21377322789281605, -0.0028593460068805144, 0.26585158751579, 0.0958212337596342, 0.10932668482884765, -0.3233605452999473, -0.07844489739392885, 0.23443443335592748, 0.15519558086059987, -0.05968406646512449, 0.02898125602514483, -0.3533020630455576, 0.129270853609778, -0.125969664985314, -0.083676298270002, -0.12049247870221734, 0.07383770264219493, -0.13649836402386428, -0.357473177947104, 0.09592567615676671, -0.04154485481791198, 0.06378781996667385, 0.03478068008786067, -0.30828326211543755, -0.012702346267178654, 0.00093738017603755, 0.18766565532889218, 0.10578792516840622, 0.17359853209927678, -0.18085349815431984, -0.15344842799007893, 0.42376424284651876, -0.07819450842915103, -0.2240112518891692, 0.19208505026996137, -0.2525027719757054, -0.18451329129748045, 0.18227313566952943, 0.17545313871465623, 0.06021435976959765, -0.15592636473942548, 0.2352636024612002, 0.0022784955013776197, 0.08988693616818637, 0.0908191460953094, 0.13551925925537944, 0.247870713538141, 0.14508229771628975, 0.04979472608305514, 0.014021801034687087, -0.12052886646939441, -0.03701464532467071, -0.4621846328303218, -0.11534710149280727, -0.04835907161235809, 0.07111286775791087, -0.07931360787188169, -0.017711486611515285, 0.33268474456854163, 0.02685156010091305, 0.27974118685466237, 0.0004323706799186766, 0.2620301412511617, 0.04889149336144328, 0.05062090767460177, 0.06667684687578003, 0.25628961831796915, 0.13584681967739015, 0.05030327514745295, -0.3002857030928135, 0.04879928793758154, -0.006015014832373708] |
707.231 | On fluctuations of closed string tachyon solitons | We discuss fluctuations on solitons in the dilaton/graviton/tachyon system
using the low energy effective field theory approach. It is shown that closed
string solitons are free of tachyons in this approximation, regardless of the
exact shape of the tachyon potential.
| hep-th | we discuss fluctuations on solitons in the dilatongravitontachyon system using the low energy effective field theory approach it is shown that closed string solitons are free of tachyons in this approximation regardless of the exact shape of the tachyon potential | [['we', 'discuss', 'fluctuations', 'on', 'solitons', 'in', 'the', 'dilatongravitontachyon', 'system', 'using', 'the', 'low', 'energy', 'effective', 'field', 'theory', 'approach', 'it', 'is', 'shown', 'that', 'closed', 'string', 'solitons', 'are', 'free', 'of', 'tachyons', 'in', 'this', 'approximation', 'regardless', 'of', 'the', 'exact', 'shape', 'of', 'the', 'tachyon', 'potential']] | [-0.1908718365071437, 0.15677007070432106, -0.1369601735033286, 0.18295282625760406, -0.00581485351237158, -0.11549781453915131, -0.02017436013258516, 0.349289150048907, -0.2055657900010164, -0.2634177186693519, 0.047609983483711496, -0.24775746283240807, -0.17824967455071133, 0.15193226234987378, -0.030945496060527287, 0.022585589008835647, 0.01579791851914846, 0.13122954603451759, -0.031495364338087924, -0.24211739357083273, 0.35295735778382575, 0.03191730136481615, 0.3199006741006787, 0.11136765081960803, 0.11279260078206277, -0.010324342797199884, 0.05149777727917983, 0.014068365240326295, -0.17352451185359266, 0.10844665657108028, 0.17775721467720965, 0.07243438689515759, 0.19270587368653372, -0.4497160005550354, -0.25624193916789806, 0.08713691698339505, 0.21458608152058262, 0.20062700764108926, -0.036848676668551676, -0.24661192462707943, 0.10089165820047641, -0.14661972855146116, -0.2025837841658638, -0.09067730240237254, 0.03248693057610534, 0.05683628125832631, -0.16389981074593005, 0.0924611649414799, 0.004779406369496615, 0.02128147976234173, -0.16377453141821882, -0.04693344454818334, 0.0031197319428126016, 0.039449589661298655, 0.1106181829296148, 0.03662998700896517, 0.12418416926923853, -0.20480691232623008, -0.042740887544380546, 0.3697140936811383, -0.14045623908989513, -0.24032057363253373, 0.12363236649439503, -0.10376701378621735, -0.046494253349896424, 0.14403558422166568, 0.09626153006385534, 0.13537024625409871, -0.09549173664970276, 0.21376651046179737, -0.0032560043036937714, 0.12095848160485427, 0.08687756183103491, 0.038017426701023795, 0.2512629829490414, 0.12276369963700955, 0.04928978934931832, 0.13138942372722504, -0.03061515747760542, -0.16216171506601265, -0.37437707567826295, -0.09986437953566799, -0.17590571399061725, 0.032194243935056224, -0.10179928625718905, -0.22432567402705525, 0.40457250481137097, 0.13294680306735712, 0.1174098414201767, -0.0076160660276237205, 0.28388589773422634, 0.17578384048568133, 0.03054068888274905, 0.10923085804694356, 0.2785079546081714, 0.13973132854040998, 0.08220294950147852, -0.2770979582714156, -0.1052668914795877, 0.08858639465119594] |
707.2311 | The autoresonance threshold into a system of weakly coupled oscillators | We investigate a system of two weakly coupled oscillators. It is shown that
an external periodic perturbation can lead to the capture into resonance.
Asymptotic description and numerical simulations are presented. We have
obtained the explicit formula for the threshold value for the amplitude of the
perturbation that leads to the autoresonance.
| math-ph math.MP | we investigate a system of two weakly coupled oscillators it is shown that an external periodic perturbation can lead to the capture into resonance asymptotic description and numerical simulations are presented we have obtained the explicit formula for the threshold value for the amplitude of the perturbation that leads to the autoresonance | [['we', 'investigate', 'a', 'system', 'of', 'two', 'weakly', 'coupled', 'oscillators', 'it', 'is', 'shown', 'that', 'an', 'external', 'periodic', 'perturbation', 'can', 'lead', 'to', 'the', 'capture', 'into', 'resonance', 'asymptotic', 'description', 'and', 'numerical', 'simulations', 'are', 'presented', 'we', 'have', 'obtained', 'the', 'explicit', 'formula', 'for', 'the', 'threshold', 'value', 'for', 'the', 'amplitude', 'of', 'the', 'perturbation', 'that', 'leads', 'to', 'the', 'autoresonance']] | [-0.18074053701219292, 0.10988991925422362, -0.11248010826798585, 0.06233123031919464, -0.024117327975825623, -0.11516453414403188, -0.007718651262201512, 0.3511005632328586, -0.22183049471081737, -0.2590155482936937, 0.09274290432222188, -0.28333554081081486, -0.1813294832021571, 0.22042515101985863, 0.004336868717263524, 0.051456059920243345, 0.08256467603272401, 0.10017021945588148, -0.013260493780343005, -0.1782987968136485, 0.31286194970687997, 0.03435704789052789, 0.25513853010936427, 0.03794540879495729, 0.09360146518939963, -0.027436643109047927, 0.022760344543852486, 0.020477681170002773, -0.1709610285663355, 0.07758359944161314, 0.2011654218658805, 0.05822054755229216, 0.23505896917329386, -0.4537165018443305, -0.20146931759798184, 0.0702286095564397, 0.16590453024344662, 0.17858904961926433, -0.037874653830210894, -0.26645404069971007, 0.10555730752037981, -0.18076294082521388, -0.17174570956446517, -0.1621901739943916, 0.006803901436237188, 0.03634925620057262, -0.35064967448572415, 0.05337001200622091, 0.08574292335945827, -0.014395573570464667, -0.07519835913374734, -0.05047670338759557, 0.0009298105186854417, 0.1165027753830565, 0.04526488050872173, -0.02722945221914695, 0.10127307580282482, -0.09948210742396231, -0.04047159864925421, 0.33258277335419106, -0.09373995481739537, -0.21912542245207497, 0.19280794844962656, -0.13635068607086745, -0.06131709217487906, 0.15725810827615744, 0.1560023776613749, 0.09238204768357369, -0.1417773972140052, 0.06752412914759659, -0.0036081052833021833, 0.18074547744785938, 0.08053852828183714, 0.002159421556056119, 0.16812595712522474, 0.14414550017458028, 0.05573227333997448, 0.18505063855375808, -0.04954978773513666, -0.1484811494144826, -0.31317301603177417, -0.0759178855492232, -0.13438630637784416, 0.03582582205686217, -0.06698767167192553, -0.18972576490341453, 0.4033253557102468, 0.1634722684348862, 0.1796850034286483, 0.046777330876256414, 0.2435388837923081, 0.2543577732733236, 0.020204575839810647, 0.010223917645187331, 0.3130984292410386, 0.1785474302417312, 0.03448384620535832, -0.28391008109499055, 0.0031821186152788308, 0.07819088988113575] |
707.2312 | Integer partitions and exclusion statistics: Limit shapes and the
largest part of Young diagrams | We compute the limit shapes of the Young diagrams of the minimal difference
$p$ partitions and provide a simple physical interpretation for the limit
shapes. We also calculate the asymptotic distribution of the largest part of
the Young diagram and show that the scaled distribution has a Gumbel form for
all $p$. This Gumbel statistics for the largest part remains unchanged even for
general partitions of the form $E=\sum_i n_i i^{1/\nu}$ with $\nu>0$ where
$n_i$ is the number of times the part $i$ appears.
| cond-mat.stat-mech math-ph math.CO math.MP | we compute the limit shapes of the young diagrams of the minimal difference p partitions and provide a simple physical interpretation for the limit shapes we also calculate the asymptotic distribution of the largest part of the young diagram and show that the scaled distribution has a gumbel form for all p this gumbel statistics for the largest part remains unchanged even for general partitions of the form esum_i n_i i1nu with nu0 where n_i is the number of times the part i appears | [['we', 'compute', 'the', 'limit', 'shapes', 'of', 'the', 'young', 'diagrams', 'of', 'the', 'minimal', 'difference', 'p', 'partitions', 'and', 'provide', 'a', 'simple', 'physical', 'interpretation', 'for', 'the', 'limit', 'shapes', 'we', 'also', 'calculate', 'the', 'asymptotic', 'distribution', 'of', 'the', 'largest', 'part', 'of', 'the', 'young', 'diagram', 'and', 'show', 'that', 'the', 'scaled', 'distribution', 'has', 'a', 'gumbel', 'form', 'for', 'all', 'p', 'this', 'gumbel', 'statistics', 'for', 'the', 'largest', 'part', 'remains', 'unchanged', 'even', 'for', 'general', 'partitions', 'of', 'the', 'form', 'esum_i', 'n_i', 'i1nu', 'with', 'nu0', 'where', 'n_i', 'is', 'the', 'number', 'of', 'times', 'the', 'part', 'i', 'appears']] | [-0.13767093240578726, 0.13866498007257355, -0.11592647760379605, 0.09368207449911208, -0.014946120166469639, -0.059412824966740316, 0.048167876075816955, 0.2909217616145658, -0.23692354414521194, -0.2799515155053175, 0.06426340204709005, -0.2813099099822888, -0.10178525818557274, 0.14435748536730322, -0.03566592484258297, -0.024743113270321884, 0.021914272767877798, 0.0650047246773483, -0.04642837876794723, -0.22387496402441728, 0.31126302756687124, -0.02811184080272186, 0.24214399187462177, 0.007338907501501281, 0.06034600907346097, 0.009422350311424674, -0.007089731362989036, -0.003989095468835042, -0.16243642710886466, 0.09230754121274846, 0.18677062269799957, 0.10628438191261233, 0.2244113091969999, -0.3345977938393267, -0.09990983108475963, 0.17838931317077722, 0.19521405189525246, 0.03921679401679373, 0.00035199502528440664, -0.19077518005520333, 0.09673060946984262, -0.1723531242857528, -0.21291827148099135, -0.007140935063056886, 0.12279437184788106, 0.04209950186948224, -0.28924174013933757, 0.06150629931582399, 0.07645383049029766, 0.028698064182407973, -0.030445261989015995, -0.22251970935243795, 0.02525282057467848, 0.16683051299599067, 0.0319189063043379, -0.014531444264121535, 0.08599958908403428, -0.17701655203510622, -0.03317653326453959, 0.3871369704422427, -0.031340052001746145, -0.1835556684811486, 0.11759042927836318, -0.23959279825865495, -0.16386861969694133, 0.1272461595036453, 0.10069564260860406, 0.11327330133502894, -0.0945003990583667, 0.14183573317912793, -0.08401885088078859, 0.10757507765438498, 0.06190908841061883, 0.009681323944255936, 0.2027761562522955, 0.11648742750105334, 0.05195341304387534, 0.19889822924827658, -0.13143684364082972, -0.10077455803956382, -0.37728401810703116, -0.16480369183303015, -0.23701944012086976, 0.052929103573239066, -0.15602392982656033, -0.20524328374644604, 0.37909685067900617, 0.1073835398661109, 0.25593637195863, 0.1285185960871054, 0.22250326754661595, 0.16452443311218082, 0.026264961502264914, 0.09043741913898508, 0.16222951878657246, 0.13451755010500188, 0.043066424533452205, -0.19072534570402308, 0.08970154106628331, 0.06424569782641966] |
707.2313 | Finite-dimensional irreducible modules for the three-point
$\mathfrak{sl}_2$ loop algebra | Recently Brian Hartwig and the second author found a presentation for the
three-point $sl_2$ loop algebra by generators and relations. To obtain this
presentation they defined a Lie algebra $\boxtimes$ by generators and
relations, and displayed an isomorphism from $\boxtimes$ to the three-point
$sl_2$ loop algebra. In this paper we describe the finite-dimensional
irreducible $\boxtimes$-modules from multiple points of view.
| math.RT math.RA | recently brian hartwig and the second author found a presentation for the threepoint sl_2 loop algebra by generators and relations to obtain this presentation they defined a lie algebra boxtimes by generators and relations and displayed an isomorphism from boxtimes to the threepoint sl_2 loop algebra in this paper we describe the finitedimensional irreducible boxtimesmodules from multiple points of view | [['recently', 'brian', 'hartwig', 'and', 'the', 'second', 'author', 'found', 'a', 'presentation', 'for', 'the', 'threepoint', 'sl_2', 'loop', 'algebra', 'by', 'generators', 'and', 'relations', 'to', 'obtain', 'this', 'presentation', 'they', 'defined', 'a', 'lie', 'algebra', 'boxtimes', 'by', 'generators', 'and', 'relations', 'and', 'displayed', 'an', 'isomorphism', 'from', 'boxtimes', 'to', 'the', 'threepoint', 'sl_2', 'loop', 'algebra', 'in', 'this', 'paper', 'we', 'describe', 'the', 'finitedimensional', 'irreducible', 'boxtimesmodules', 'from', 'multiple', 'points', 'of', 'view']] | [-0.17851348862178246, 0.06370123514685566, -0.08404891180284953, 0.06740983693576338, -0.13887562539617895, -0.09546756888029434, -0.015289545878057637, 0.3201037209512571, -0.33067833215503367, -0.24041114517061388, 0.10714677976783744, -0.2523428324168011, -0.16975039935086744, 0.19790370404025762, -0.11792946295907437, -0.05770191809130927, 0.06161887803257017, 0.10316050776390959, -0.12688379946472597, -0.24382104914067154, 0.3858000037528701, 0.03945232640509888, 0.23353150537458517, -0.024357562411134525, 0.1658307725279513, 0.041831566983739195, -0.07679866189610655, -0.0413528745520418, -0.16281427654548217, 0.12452914006613447, 0.3460290902215293, 0.048060405619099134, 0.12596418651736388, -0.35320390872973, -0.007569980128841885, 0.1277096725021631, 0.1590284416294199, 0.019947646990797277, -0.0010255264844429696, -0.3038028443737303, 0.030276330456263937, -0.28276156382319534, -0.07962719903532732, -0.07383798683156907, 0.06694363694543302, -0.059895718596496825, -0.2187503160498405, -0.00916103314671476, 0.05648431594688761, 0.16815675664061713, -0.015684896393410735, -0.0800380663220155, -0.08502078943459665, 0.1331918018286006, -0.06359190673772562, 0.07390610760046264, 0.07922970710353831, -0.11013327175119923, -0.2135672315450038, 0.3362354579997265, 0.04666348909801346, -0.15905180425083232, 0.07566320227648494, -0.19956026349406122, -0.21711309287318234, 0.04394022337460922, 0.04446064082163749, 0.08364084370087012, -0.13484007420049884, 0.18991674997022975, -0.07713044059099787, 0.018064174816896348, 0.10665927235021304, -0.04885831790960441, 0.1503318404873549, 0.012840787479575028, -0.039616081437443273, 0.14949102635037595, 0.11287063900854881, -0.010440864702844518, -0.3832649351107509, -0.19993605527048142, -0.08080278699665125, 0.12598831616973472, -0.08096977295571055, -0.13560107583969327, 0.42328621303441666, 0.13026235729329666, 0.19311451703562574, 0.14472136363955374, 0.21767298232022106, 0.1410914784518339, 0.1630444769447638, 0.09753431289819843, 0.12342013948265526, 0.2533408827779783, 0.01991871032485012, -0.12810081221070535, -0.10662190169411695, 0.2875098744407296] |
707.2314 | Odderon with a running coupling constant | The running coupling is introduced into the equation for the odderon via the
bootstrap relation. It is shown that the previously found odderon state with a
maximal intercept, which is constructed from antisymmetric pomeron wave
function, continues to exist in the running coupling case. Its intercept is
found to remain equal to unity independent of the behaviour assumed for the
running coupling at low momenta.
| hep-ph | the running coupling is introduced into the equation for the odderon via the bootstrap relation it is shown that the previously found odderon state with a maximal intercept which is constructed from antisymmetric pomeron wave function continues to exist in the running coupling case its intercept is found to remain equal to unity independent of the behaviour assumed for the running coupling at low momenta | [['the', 'running', 'coupling', 'is', 'introduced', 'into', 'the', 'equation', 'for', 'the', 'odderon', 'via', 'the', 'bootstrap', 'relation', 'it', 'is', 'shown', 'that', 'the', 'previously', 'found', 'odderon', 'state', 'with', 'a', 'maximal', 'intercept', 'which', 'is', 'constructed', 'from', 'antisymmetric', 'pomeron', 'wave', 'function', 'continues', 'to', 'exist', 'in', 'the', 'running', 'coupling', 'case', 'its', 'intercept', 'is', 'found', 'to', 'remain', 'equal', 'to', 'unity', 'independent', 'of', 'the', 'behaviour', 'assumed', 'for', 'the', 'running', 'coupling', 'at', 'low', 'momenta']] | [-0.17723670489906979, 0.17189993478644353, -0.12147798084725554, 0.08271460808956853, -0.09359338944419646, -0.1775248819675583, -0.013540844640766199, 0.30546700501671203, -0.22870251095065705, -0.26982369130620587, 0.056162215545415305, -0.2968921375962404, -0.09777412322134926, 0.14887302376043338, 0.06734082856430457, 0.03892735563702165, -0.006076202161896687, 0.09269702315617066, -0.005478024228404348, -0.23814320999842423, 0.3215383783555948, 0.041451120648819666, 0.2827395391757958, 0.09788964766865739, 0.1033342764318849, 0.020374329180385058, 0.02310064611240075, -0.02906595947077641, -0.08947491388322446, 0.010339000821113586, 0.24808408715403996, 0.01821998593905636, 0.19659696528329873, -0.3056710256980016, -0.13013008086440656, 0.08111290076317695, 0.18467513479005832, 0.07497043982685472, 0.029089961677359846, -0.22210750856006947, 0.06839376215178233, -0.1882390327178515, -0.19765213523060082, -0.016487824974151757, 0.05210951526577656, -0.062126459138324625, -0.3220042634038971, 0.06697974485846667, -0.0209890352239689, -0.0647673758212477, -0.012522582668596162, -0.12850170467908567, -0.06739565259418809, 0.11561481572257784, 0.14933426825759502, 0.11496469801148543, 0.0677325702415636, -0.13942827368334224, -0.09593270874510591, 0.3356069561953728, -0.06771622282954362, -0.23764168683152934, 0.1585222971912187, -0.17083916840716623, -0.09592297936144929, 0.14411049603412932, 0.09901238579589587, 0.07514728475362062, -0.12555207398075324, 0.1257336434661948, 0.01752861167971367, 0.1840675385024112, 0.06250378533911247, -0.003095657887080541, 0.16930099553786793, 0.11875169884700042, 0.04082730862383659, 0.13592126550009617, -0.00963846194342925, -0.13103858306287572, -0.32536402273063475, -0.06579710914968298, -0.1960184685456065, 0.059364087794361135, -0.10361678534402297, -0.13842650164912743, 0.32952222826962285, 0.12977432074168554, 0.19811056120177875, 0.09734751232720625, 0.26904330147215383, 0.2249616350978613, 0.12754857358880914, 0.13276953280258638, 0.35311893161672814, 0.16568567033928747, 0.10463598599800697, -0.26848515428674335, 0.07899703677886953, 0.05613775079210217] |
707.2315 | Consistent Kaluza-Klein Reductions for General Supersymmetric AdS
Solutions | For the most general supersymmetric solutions of type IIB supergravity
consisting of a warped product of AdS_5 with a five-dimensional manifold M_5,
we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal
D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be
uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also
show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional
Sasaki-Einstein manifold, and for a general class of supersymmetric solutions
that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there
is an analogous consistent reduction to minimal D=4 gauged supergravity.
| hep-th | for the most general supersymmetric solutions of type iib supergravity consisting of a warped product of ads_5 with a fivedimensional manifold m_5 we construct an explicit consistent kaluzaklein reduction on m_5 to minimal d5 gauged supergravity thus any solution of the gauged supergravity can be uplifted on m_5 to obtain an exact solution of type iib supergravity we also show that for general ads_4 x se_7 solutions where se_7 is a sevendimensional sasakieinstein manifold and for a general class of supersymmetric solutions that are a warped product of ads_4 with a sevendimensional manifold n_7 there is an analogous consistent reduction to minimal d4 gauged supergravity | [['for', 'the', 'most', 'general', 'supersymmetric', 'solutions', 'of', 'type', 'iib', 'supergravity', 'consisting', 'of', 'a', 'warped', 'product', 'of', 'ads_5', 'with', 'a', 'fivedimensional', 'manifold', 'm_5', 'we', 'construct', 'an', 'explicit', 'consistent', 'kaluzaklein', 'reduction', 'on', 'm_5', 'to', 'minimal', 'd5', 'gauged', 'supergravity', 'thus', 'any', 'solution', 'of', 'the', 'gauged', 'supergravity', 'can', 'be', 'uplifted', 'on', 'm_5', 'to', 'obtain', 'an', 'exact', 'solution', 'of', 'type', 'iib', 'supergravity', 'we', 'also', 'show', 'that', 'for', 'general', 'ads_4', 'x', 'se_7', 'solutions', 'where', 'se_7', 'is', 'a', 'sevendimensional', 'sasakieinstein', 'manifold', 'and', 'for', 'a', 'general', 'class', 'of', 'supersymmetric', 'solutions', 'that', 'are', 'a', 'warped', 'product', 'of', 'ads_4', 'with', 'a', 'sevendimensional', 'manifold', 'n_7', 'there', 'is', 'an', 'analogous', 'consistent', 'reduction', 'to', 'minimal', 'd4', 'gauged', 'supergravity']] | [-0.14399005393855846, 0.05163095621859471, 0.058601889929447606, 0.11265979467918022, -0.15035333340683094, -0.22623733645125937, -0.06049212260852353, 0.2553832020941907, -0.034628983494118214, -0.18377721551447534, 0.19078679680331753, -0.3084077466538964, -0.1610843334167909, 0.11556051983139835, -0.17430306419443625, -0.01852658749535644, 0.0019581744787641442, 0.07338277793202835, -0.19286748294521552, -0.29619732540315735, 0.38388820132240653, -0.06053367070678807, 0.2425281099634818, -0.058623432085509054, 0.18156215380160853, -0.10836316673801495, 0.10603062206288226, 0.007502946492212896, -0.17794496018457442, 0.18784442805917934, 0.25262296427256214, 0.1087771965495239, -0.012730668137709681, -0.4499475370841817, -0.2497641756467951, 0.14012166608321983, 0.2516566959003775, 0.17158640343292902, -0.031033578568335194, -0.26379879861353683, 0.0802631997010814, -0.21916261938391612, -0.21273996078301793, -0.11534291747599267, 0.054925645558306806, -0.21103111690340134, -0.3316644325207632, 0.06222219189126358, -0.03009380869424114, -0.01735875542418888, -0.1313956120038011, -0.030891971764503978, -0.16444686855762625, -0.05013045865164783, 0.20038080379778805, 0.10941242248428842, 0.06644610343321872, -0.13048796899294338, -0.17437653039367154, 0.2903005677060439, -0.10216622554267255, -0.31125386458678317, 0.11373888499264677, -0.07753296667495026, -0.1961933660741824, 0.1598816490642583, 0.0926715439866082, 0.27650528338451225, -0.13986034421787524, 0.3177521264515235, -0.08810306260756288, 0.14648050022123454, 0.09944614043119006, 0.05434362537870094, 0.24162868328858167, 0.1928818736699983, 0.11797124110867466, 0.11849451081966086, 0.03368501232202666, -0.061751709546605034, -0.5053738393605902, -0.16156741451413836, -0.042548682324615165, 0.2771556087088986, -0.28112106738920445, -0.22272591608074996, 0.3633706021265915, -0.04276899378657198, 0.17487881243085632, 0.09779068583156914, 0.08907990122567683, 0.038830105000390455, 0.04469563367848213, 0.09311261513413718, 0.2624955822158462, 0.11569859025229771, 0.0134592443668785, -0.21453854211498624, -0.2819094715971285, 0.2493186299689114] |
707.2316 | Galaxy redshift surveys selected by neutral hydrogen using FAST | We discuss the possibility of performing a substantial spectroscopic galaxy
redshift survey selected via the 21cm emission from neutral hydrogen using the
Five-hundred metre Aperture Spherical Telescope (FAST) to be built in China. We
consider issues related to the estimation of the source counts and
optimizations of the survey, and discuss the constraints on cosmological models
that such a survey could provide. We find that a survey taking around two years
could detect ~10^7 galaxies with an average redshift of ~0.15 making the survey
complementary to those already carried out at optical wavelengths. These
conservative estimates have used the z=0 HI mass function and have ignored the
possibility of evolution. The results could be used to constrain Gamma =
(Omega_m h) to 5 per cent and the spectral index, n_s, to 7 per cent
independent of cosmic microwave background data. If we also use simulated power
spectra from the Planck satellite, we can constrain w to be within 5 per cent
of -1.
| astro-ph | we discuss the possibility of performing a substantial spectroscopic galaxy redshift survey selected via the 21cm emission from neutral hydrogen using the fivehundred metre aperture spherical telescope fast to be built in china we consider issues related to the estimation of the source counts and optimizations of the survey and discuss the constraints on cosmological models that such a survey could provide we find that a survey taking around two years could detect 107 galaxies with an average redshift of 015 making the survey complementary to those already carried out at optical wavelengths these conservative estimates have used the z0 hi mass function and have ignored the possibility of evolution the results could be used to constrain gamma omega_m h to 5 per cent and the spectral index n_s to 7 per cent independent of cosmic microwave background data if we also use simulated power spectra from the planck satellite we can constrain w to be within 5 per cent of 1 | [['we', 'discuss', 'the', 'possibility', 'of', 'performing', 'a', 'substantial', 'spectroscopic', 'galaxy', 'redshift', 'survey', 'selected', 'via', 'the', '21cm', 'emission', 'from', 'neutral', 'hydrogen', 'using', 'the', 'fivehundred', 'metre', 'aperture', 'spherical', 'telescope', 'fast', 'to', 'be', 'built', 'in', 'china', 'we', 'consider', 'issues', 'related', 'to', 'the', 'estimation', 'of', 'the', 'source', 'counts', 'and', 'optimizations', 'of', 'the', 'survey', 'and', 'discuss', 'the', 'constraints', 'on', 'cosmological', 'models', 'that', 'such', 'a', 'survey', 'could', 'provide', 'we', 'find', 'that', 'a', 'survey', 'taking', 'around', 'two', 'years', 'could', 'detect', '107', 'galaxies', 'with', 'an', 'average', 'redshift', 'of', '015', 'making', 'the', 'survey', 'complementary', 'to', 'those', 'already', 'carried', 'out', 'at', 'optical', 'wavelengths', 'these', 'conservative', 'estimates', 'have', 'used', 'the', 'z0', 'hi', 'mass', 'function', 'and', 'have', 'ignored', 'the', 'possibility', 'of', 'evolution', 'the', 'results', 'could', 'be', 'used', 'to', 'constrain', 'gamma', 'omega_m', 'h', 'to', '5', 'per', 'cent', 'and', 'the', 'spectral', 'index', 'n_s', 'to', '7', 'per', 'cent', 'independent', 'of', 'cosmic', 'microwave', 'background', 'data', 'if', 'we', 'also', 'use', 'simulated', 'power', 'spectra', 'from', 'the', 'planck', 'satellite', 'we', 'can', 'constrain', 'w', 'to', 'be', 'within', '5', 'per', 'cent', 'of', '1']] | [-0.05411907861653836, 0.08478460472479914, -0.03929880181223982, 0.08365863032515425, -0.08521145101015766, -0.0657615580877726, 0.06070061076869383, 0.39224967234020613, -0.18863777733367673, -0.38264612200451487, 0.09737736926008775, -0.33817961561654547, -0.005656486986503925, 0.23451002664795076, 0.008362925307822334, 0.0028007730703662943, 0.03821371859521605, -0.07579123855975922, -0.05769226290008921, -0.30957764715536923, 0.25796925487502675, 0.15160154292566907, 0.19157599320888152, -0.0012016228664620424, 0.08088711360225131, -0.0709354616371041, -0.1441311842020325, -0.015466507403524938, -0.19500678710189984, 0.06082853882280351, 0.24641948503997327, 0.18165876685412108, 0.23089507798790748, -0.36485770018340125, -0.19866892010157491, 0.13057953916076157, 0.1792684900459408, 0.06492255747398752, -0.038923982040019546, -0.2713313064750652, 0.08436057714847445, -0.19579692664958628, -0.14289986089814777, 0.009196384086267861, -0.016093462636625325, 0.037596927409600696, -0.19828211340225405, 0.1198837570068182, -0.0631950922162318, 0.05207970159424377, -0.07404765236208698, -0.13167401225260103, -0.05067538870225465, 0.08391540270172243, 3.240620976106988e-06, 0.05935147761893286, 0.16831817742966024, -0.10834288822464001, -0.039855306236544784, 0.4004704118821264, -0.11137818842896341, -0.060497380747103396, 0.13938072997714496, -0.20412795961386077, -0.20321343091810928, 0.10755980704454016, 0.19888175787033374, 0.05416227477159995, -0.14815288568260493, 0.032438504798510286, 0.01804558111693894, 0.2780566597673582, 0.06956359243486077, 0.04008702135130685, 0.30585521062330145, 0.08887046852787198, 0.055397083772990255, 0.10698663016111463, -0.24357440453568865, 0.03127247252124994, -0.2658644639197047, -0.08426567681139496, -0.13475743912010926, 0.12084161283241378, -0.11566486968450466, -0.06346026229468048, 0.3692226939731174, 0.1732203180206089, 0.2165839901742997, 0.055954995790760916, 0.294200616037864, 0.08463406642714952, 0.10926827931788141, 0.04020788796378277, 0.3119705134289868, 0.1228059371214728, 0.0787248458903007, -0.15969364902717464, -0.0326637666080331, -0.04110815199983111] |
707.2317 | TDDFT and Strongly Correlated Systems: Insight From Numerical Studies | We illustrate the scope of Time Dependent Density Functional Theory (TDDFT)
for strongly correlated (lattice) models out of equilibrium. Using the exact
many body time evolution, we reverse engineer the exact exchange correlation
(xc) potential $v_{xc}$ for small Hubbard chains exposed to time-dependent
fields. We introduce an adiabatic local density approximation (ALDA) to
$v_{xc}$ for the 1D Hubbard model and compare it to exact results, to gain
insight about approximate xc potentials. Finally, we provide some remarks on
the v-representability for the 1D Hubbard model.
| cond-mat.mes-hall cond-mat.str-el | we illustrate the scope of time dependent density functional theory tddft for strongly correlated lattice models out of equilibrium using the exact many body time evolution we reverse engineer the exact exchange correlation xc potential v_xc for small hubbard chains exposed to timedependent fields we introduce an adiabatic local density approximation alda to v_xc for the 1d hubbard model and compare it to exact results to gain insight about approximate xc potentials finally we provide some remarks on the vrepresentability for the 1d hubbard model | [['we', 'illustrate', 'the', 'scope', 'of', 'time', 'dependent', 'density', 'functional', 'theory', 'tddft', 'for', 'strongly', 'correlated', 'lattice', 'models', 'out', 'of', 'equilibrium', 'using', 'the', 'exact', 'many', 'body', 'time', 'evolution', 'we', 'reverse', 'engineer', 'the', 'exact', 'exchange', 'correlation', 'xc', 'potential', 'v_xc', 'for', 'small', 'hubbard', 'chains', 'exposed', 'to', 'timedependent', 'fields', 'we', 'introduce', 'an', 'adiabatic', 'local', 'density', 'approximation', 'alda', 'to', 'v_xc', 'for', 'the', '1d', 'hubbard', 'model', 'and', 'compare', 'it', 'to', 'exact', 'results', 'to', 'gain', 'insight', 'about', 'approximate', 'xc', 'potentials', 'finally', 'we', 'provide', 'some', 'remarks', 'on', 'the', 'vrepresentability', 'for', 'the', '1d', 'hubbard', 'model']] | [-0.09586579544907983, 0.03816422747930868, -0.08398286918698646, 0.17234820565756628, -0.005088876626070808, -0.18708443104782524, 0.08395118376596228, 0.4222526723190266, -0.25688775663866714, -0.2387344808482072, 0.029264157752999488, -0.29532157945282317, -0.13197353280642454, 0.132657129837967, 0.08365060554214698, 0.061681373702252615, 0.013476457896039766, -0.028022453169379492, -0.14114563533050173, -0.2586065290358794, 0.24546951405594455, 0.06483492225627689, 0.2189967922428075, 0.1199524650350213, 0.014550044650540632, 0.06478975497405319, 0.04905266336658422, 0.006881562760099769, -0.2183097725679331, 0.12150360055213028, 0.2158789411726877, -0.0024016555563053663, 0.269352017145823, -0.5222559448988998, -0.26895426026381114, 0.029125596670543447, 0.10663280780153239, 0.19387346869608496, -0.02499161021756556, -0.2787867141997113, -0.004850604850798845, -0.21721205302678487, -0.1847496354870279, -0.18598199187613584, 0.03294439513564986, 0.07665142649236847, -0.2750791790374719, 0.1203787009943934, 0.004893350871005917, 0.02647495334420134, -0.11496010811944657, -0.12697072898804704, 0.0013280874227776247, 0.07131524561178487, 0.01880211546085775, 0.03561325321412262, 0.1238254677175599, -0.11021442750797553, -0.047001890152665406, 0.3294498061980395, -0.1053641291369465, -0.19547093937803497, 0.20451006123741322, -0.10131662880782695, -0.12211951782159945, 0.08483700595576973, 0.1297680687488002, 0.057854458363726734, -0.17028974815107445, 0.1663935792324243, -0.0022602239568882128, 0.1889404403155341, -0.010307563638643307, 0.01765232417075073, 0.15348375625908375, 0.11665080755620319, 0.07379611048450255, 0.1341446508133017, -0.048133078384596635, -0.21613477785140275, -0.2843729185488294, -0.0994324469295166, -0.1996172416516963, 0.05945459228447255, -0.09972754844056908, -0.22565888258464195, 0.43144171209458043, 0.2367071285022094, 0.11666593834045617, 0.04940283935969038, 0.21638890991316123, 0.19310559200889924, -0.03619633859352154, 0.06306982968988664, 0.16885091105975922, 0.18758341929710964, 0.031372282330823294, -0.26366410449366356, -0.012099685323397245, 0.08387457968886285] |
707.2318 | Angular Momentum Imparted To Test Particles by Gravitational Waves | What are gravitational waves? How do they propagate? and what is their energy
content? These questions are addressed in the first two chapters. In the third
chapter the pseudo-Newtonian formalism and its extension is reviewed in general
and the formula for the momentum imparted to test particles in arbitrary
spacetimes is reviewed in particular. In chapter four the analysis of a paper
claiming to determine the spin for gravitational waves is given, and compared
with the spin given by a geodesic analysis. It is demonstrated that the other
claim is inconsistent. Finally in chapter five a summary of the work is given
with the conclusion.
| gr-qc | what are gravitational waves how do they propagate and what is their energy content these questions are addressed in the first two chapters in the third chapter the pseudonewtonian formalism and its extension is reviewed in general and the formula for the momentum imparted to test particles in arbitrary spacetimes is reviewed in particular in chapter four the analysis of a paper claiming to determine the spin for gravitational waves is given and compared with the spin given by a geodesic analysis it is demonstrated that the other claim is inconsistent finally in chapter five a summary of the work is given with the conclusion | [['what', 'are', 'gravitational', 'waves', 'how', 'do', 'they', 'propagate', 'and', 'what', 'is', 'their', 'energy', 'content', 'these', 'questions', 'are', 'addressed', 'in', 'the', 'first', 'two', 'chapters', 'in', 'the', 'third', 'chapter', 'the', 'pseudonewtonian', 'formalism', 'and', 'its', 'extension', 'is', 'reviewed', 'in', 'general', 'and', 'the', 'formula', 'for', 'the', 'momentum', 'imparted', 'to', 'test', 'particles', 'in', 'arbitrary', 'spacetimes', 'is', 'reviewed', 'in', 'particular', 'in', 'chapter', 'four', 'the', 'analysis', 'of', 'a', 'paper', 'claiming', 'to', 'determine', 'the', 'spin', 'for', 'gravitational', 'waves', 'is', 'given', 'and', 'compared', 'with', 'the', 'spin', 'given', 'by', 'a', 'geodesic', 'analysis', 'it', 'is', 'demonstrated', 'that', 'the', 'other', 'claim', 'is', 'inconsistent', 'finally', 'in', 'chapter', 'five', 'a', 'summary', 'of', 'the', 'work', 'is', 'given', 'with', 'the', 'conclusion']] | [-0.10971385147145372, 0.14338231681890432, -0.07081971526412027, 0.08658603520154776, -0.08066059276461601, -0.09498028939678556, -0.04028294225156839, 0.34031034743502026, -0.2044539021283743, -0.3018672753302824, 0.11148488837006014, -0.31316875684119405, -0.15555529097272527, 0.1816955460512656, -0.045017768620025544, 0.007282297587620893, 0.04314501330566903, 0.07747098227874154, -0.06438794447264323, -0.26085620622727135, 0.3708906552931737, 0.06808430177292653, 0.23172437861960912, 0.06392298221499437, 0.06863368228964863, -0.007880290788376616, -0.11476743807572694, 0.031098571898681777, -0.14092142599935567, 0.11225007993302175, 0.24875728391066548, 0.14252447948037159, 0.22904394796739022, -0.4223700513176265, -0.1863846344341125, 0.0465165513345883, 0.13341929366191227, 0.15649155992349342, -0.039444390826282046, -0.25207792765327863, 0.08547277512427952, -0.1880015025757963, -0.16847662498198804, -0.0247716476165113, 0.060302855114319494, 0.012014297129852431, -0.17454456031499874, 0.05108911559551156, 0.12412528777495027, 0.020704166555688495, -0.07522949879833808, -0.07367189382535538, -0.005565919908916667, 0.07212553703270498, 0.11024517005564467, 0.06265543441598614, 0.08905447308151494, -0.10633111276796886, -0.1222110165549176, 0.42115010111814455, -0.03164867354568005, -0.24907256276125, 0.16389984034356617, -0.17605919237026857, -0.14091437221283004, 0.056438299898235574, 0.14882849604778348, 0.1362217356140415, -0.1808497621367375, 0.059145166988795, -0.00792244512343868, 0.123020982693526, 0.09327301728051333, 0.013110437725914553, 0.25164865964047967, 0.15134320699698514, -0.009568895650140586, 0.11974236186915299, -0.05362253396638802, -0.0955257581031349, -0.34451673502723373, -0.1786141866239112, -0.18822970925608562, 0.02975931268495818, -0.014550726026451835, -0.08801875259904635, 0.4070892374629953, 0.1868666341373076, 0.14684836203565022, 0.024889950330058735, 0.2885626274027995, 0.11064435816813438, -0.008140483651576297, 0.057991274308768055, 0.3002441923887957, 0.1402050514949397, 0.10759542176411266, -0.14271835204036462, 0.025989653613595735, 0.03063588006688016] |
707.2319 | Classical mechanics as nonlinear quantum mechanics | All measurable predictions of classical mechanics can be reproduced from a
quantum-like interpretation of a nonlinear Schrodinger equation. The key
observation leading to classical physics is the fact that a wave function that
satisfies a linear equation is real and positive, rather than complex. This has
profound implications on the role of the Bohmian classical-like interpretation
of linear quantum mechanics, as well as on the possibilities to find a
consistent interpretation of arbitrary nonlinear generalizations of quantum
mechanics.
| quant-ph hep-th | all measurable predictions of classical mechanics can be reproduced from a quantumlike interpretation of a nonlinear schrodinger equation the key observation leading to classical physics is the fact that a wave function that satisfies a linear equation is real and positive rather than complex this has profound implications on the role of the bohmian classicallike interpretation of linear quantum mechanics as well as on the possibilities to find a consistent interpretation of arbitrary nonlinear generalizations of quantum mechanics | [['all', 'measurable', 'predictions', 'of', 'classical', 'mechanics', 'can', 'be', 'reproduced', 'from', 'a', 'quantumlike', 'interpretation', 'of', 'a', 'nonlinear', 'schrodinger', 'equation', 'the', 'key', 'observation', 'leading', 'to', 'classical', 'physics', 'is', 'the', 'fact', 'that', 'a', 'wave', 'function', 'that', 'satisfies', 'a', 'linear', 'equation', 'is', 'real', 'and', 'positive', 'rather', 'than', 'complex', 'this', 'has', 'profound', 'implications', 'on', 'the', 'role', 'of', 'the', 'bohmian', 'classicallike', 'interpretation', 'of', 'linear', 'quantum', 'mechanics', 'as', 'well', 'as', 'on', 'the', 'possibilities', 'to', 'find', 'a', 'consistent', 'interpretation', 'of', 'arbitrary', 'nonlinear', 'generalizations', 'of', 'quantum', 'mechanics']] | [-0.0836320887080943, 0.10929525926565895, -0.15661475794294324, 0.11375745467226714, -0.1279965742216565, -0.16207642391777766, -0.04773845001219366, 0.24732440897227767, -0.2715932264541968, -0.24368689498171592, 0.047592884625117175, -0.26286371314945894, -0.23250037537983212, 0.2538356953181135, -0.028285603146426953, 0.10194081149231164, 0.060064418301081814, 0.07002344937660755, -0.09167469191388825, -0.14124574774326995, 0.2973967434417528, 0.03922320020874628, 0.22585695190355182, 0.040553249299335174, 0.14550960526013604, 0.03383324560052596, 0.0025736749028930296, 0.055523245361072414, -0.08932969718667803, 0.10451757494742289, 0.2360556655181333, 0.12844522887070736, 0.29717827114561657, -0.4341029175676597, -0.3041237412044444, 0.09083806503361139, 0.10928854026879446, 0.13839607483271557, -0.032097280953819744, -0.3020170890630629, 0.013540343835185736, -0.13435486091587406, -0.20385704898776916, -0.0666424258170315, 0.053756362806337, -0.025518732097668525, -0.20419253973075405, 0.1380892101651392, 0.09967898721179853, 0.02008652124697199, -0.06829202637219658, -0.10042359088308728, -0.005409402256377806, 0.047342484715418555, -0.02050612547631877, 0.02862181663602734, 0.10591376712545753, -0.15797239846179786, -0.19370658433017057, 0.45274034924566364, -0.04768273738031544, -0.22573725009957948, 0.17582007159646124, -0.15468902713977373, -0.1159425846253259, 0.06709520645344104, 0.13534661498852074, 0.0680955710025349, -0.10106106822450574, 0.1236443678148461, -0.08388246101523504, 0.15731428474641573, 0.056469044886911526, 0.08689227055471677, 0.24795099806327087, 0.12263792588447149, 0.012827141174616722, 0.07457041521168624, 0.042487753492493466, -0.23340546875857773, -0.398084941582802, -0.20362347691358687, -0.19819300133549872, 0.16920191151122055, -0.08328674254227782, -0.17907758159801745, 0.3648901006971032, 0.13721431717604923, 0.187879132751662, 0.029669635976927403, 0.26607993476761455, 0.21516750304876134, 0.013605396979703354, -0.03601583549514031, 0.2431947355134747, 0.19668961564401308, 0.08400479461758947, -0.2193161781357888, 0.08735451021064551, 0.04368551046802448] |
707.232 | Prompt photons in heavy ion collisions at the LHC: A ''multi-purpose''
observable | I emphasize in this contribution how prompt photons can be used to probe
nuclear parton densities as well as medium-modified fragmentation functions in
heavy ion collisions. Various predictions in p-A and A-A collisions at LHC
energies are given.
| hep-ph nucl-ex nucl-th | i emphasize in this contribution how prompt photons can be used to probe nuclear parton densities as well as mediummodified fragmentation functions in heavy ion collisions various predictions in pa and aa collisions at lhc energies are given | [['i', 'emphasize', 'in', 'this', 'contribution', 'how', 'prompt', 'photons', 'can', 'be', 'used', 'to', 'probe', 'nuclear', 'parton', 'densities', 'as', 'well', 'as', 'mediummodified', 'fragmentation', 'functions', 'in', 'heavy', 'ion', 'collisions', 'various', 'predictions', 'in', 'pa', 'and', 'aa', 'collisions', 'at', 'lhc', 'energies', 'are', 'given']] | [0.06655936724947471, 0.29064299190711035, -0.1539091076579337, 0.24348791206782489, 0.05798034460626935, -0.08533526976641856, -0.1352740941618226, 0.44827531248723207, -0.23601891515825532, -0.2723781687550639, -0.09088559661636521, -0.34429140830118404, 0.14499709776014483, 0.07838826744179976, 0.08238628398823111, 0.08897373702769217, 0.11227752785443475, -0.09556332978076841, -0.016921621931128596, -0.14506391524092146, 0.2850895175024083, 0.1531169993900939, 0.16583251328158535, 0.27849995276253475, -0.021641287732085113, 0.0663620017003268, -0.00773359674617256, -0.0245636888338547, -0.11919207569505823, 0.017713414077757318, 0.3867831958555861, 0.10415392857057189, 0.13767027198091933, -0.4414003054170232, -0.1303843418136239, 0.09012728218773478, 0.17657120211515576, 0.15457037178260324, -0.0386649096311119, -0.18510120479684128, 0.03978184360618654, -0.29832134087030826, -0.15293460868691144, -0.06084189054213072, -0.01436350118417881, 0.10810838338281763, -0.31404464515416247, 0.08804589109250198, -0.0904176112625895, 0.031031800581044273, 0.024651622117840145, -0.20737674312764093, -0.08453670119266271, -0.024729050285378962, 0.0714572053892832, 0.12449548440054059, 0.2541318562764086, -0.1759698411057654, -0.17121428997549965, 0.4398031259984954, -0.007121491049857516, -0.11906357893818303, 0.22012079592892214, -0.21974376951785465, -0.1757319796903941, 0.1431425085511843, 0.3051997931478055, 0.09753835490463596, -0.21600784689776206, -0.009065932473229048, 0.05235059137799238, 0.12216607400257903, 0.12746416859475798, 0.15301637189756884, 0.19574456372739454, 0.15999763424655325, -0.0958418998450629, 0.06413413622565138, -0.0948505318772636, -0.045563565714186745, -0.44329720317680193, -0.04834679447996773, -0.10475776275913966, 0.0450205320100251, -0.03939488092644177, -0.0007493445943844946, 0.3391930402354582, 0.128760266889769, 0.3165636004291867, -0.08527802340196151, 0.3049989065743591, 0.10364232329179925, 0.041973600360123736, 0.0871166680008173, 0.2880751083752042, 0.16908251126541904, 0.19058728149454846, -0.22249742180697227, 0.09167855946151049, 0.05119135230779648] |
707.2321 | Chern-Simons classes of flat connections on supermanifolds | In this note we define Chern-Simons classes of a superconnection $D+L$ on a
complex supervector bundle $E$ such that $D$ is flat and preserves the grading,
and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we
obtain a definition of Chern-Simons classes of a (not necessarily flat)
morphism between flat vector bundles on a smooth manifold. We extend Reznikov's
theorem on triviality of these classes when the manifold is a compact K\"ahler
manifold or a smooth complex quasi--projective variety, in degrees > 1.
| math.AG math-ph math.MP | in this note we define chernsimons classes of a superconnection dl on a complex supervector bundle e such that d is flat and preserves the grading and l is an odd endomorphism of e on a supermanifold as an application we obtain a definition of chernsimons classes of a not necessarily flat morphism between flat vector bundles on a smooth manifold we extend reznikovs theorem on triviality of these classes when the manifold is a compact kahler manifold or a smooth complex quasiprojective variety in degrees 1 | [['in', 'this', 'note', 'we', 'define', 'chernsimons', 'classes', 'of', 'a', 'superconnection', 'dl', 'on', 'a', 'complex', 'supervector', 'bundle', 'e', 'such', 'that', 'd', 'is', 'flat', 'and', 'preserves', 'the', 'grading', 'and', 'l', 'is', 'an', 'odd', 'endomorphism', 'of', 'e', 'on', 'a', 'supermanifold', 'as', 'an', 'application', 'we', 'obtain', 'a', 'definition', 'of', 'chernsimons', 'classes', 'of', 'a', 'not', 'necessarily', 'flat', 'morphism', 'between', 'flat', 'vector', 'bundles', 'on', 'a', 'smooth', 'manifold', 'we', 'extend', 'reznikovs', 'theorem', 'on', 'triviality', 'of', 'these', 'classes', 'when', 'the', 'manifold', 'is', 'a', 'compact', 'kahler', 'manifold', 'or', 'a', 'smooth', 'complex', 'quasiprojective', 'variety', 'in', 'degrees', '1']] | [-0.2360822122180085, 0.04867081753019747, -0.08123162574530847, 0.06401179308317945, -0.14748004665491224, -0.17776028538957753, -0.040697406784727656, 0.38058678685933695, -0.2607497196623135, -0.20451414855009736, 0.045400783336646426, -0.20086351285378137, -0.18813120615508022, 0.17067788592432678, -0.1852672704088705, -0.08709241084797287, 0.03356140716825665, 0.10346515490084715, -0.13139842366853235, -0.2483640609044132, 0.48950749104735497, -0.0717825396039962, 0.22103626758459655, 0.0738978791826715, 0.16389629940620098, 0.005675227306355005, 0.02625481816993534, 0.013032955781224815, -0.12193782763442242, 0.11844099597769907, 0.27608325636421127, 0.07189770556729415, 0.1780969624503933, -0.32646219570446633, -0.17434832160147015, 0.22031183688146672, 0.09033351629201708, -0.011323391738208547, 0.034335480693824076, -0.2677975852395697, 0.11940140045387135, -0.15623306756004177, -0.1404906489468854, -0.10416261760796282, 0.09924075025101674, -0.06259995596162204, -0.24148014622430006, -0.058001937804979156, 0.14181829454248834, 0.13686083514114905, -0.0853990104571975, -0.05017553968890302, -0.08763694761577866, 0.010618920461073968, -0.024482484754367637, 0.12792266431082597, 0.12326464433779662, -0.10355623967506676, -0.11881298745511336, 0.3442561711216795, -0.11239009078233449, -0.3432826467886053, 0.15721829129575654, -0.09677170650583916, -0.1622060802444045, 0.127719277922792, 0.12742123896812743, 0.2172629287006098, 0.030281259027147806, 0.23096739368422234, -0.12309438163005136, 0.09444095125828667, 0.06646531899513185, -0.023891377000502128, 0.173841628141637, 0.1365388117037478, 0.12866675424999718, 0.07273069615529358, -0.012290378780928493, -0.020092642684092468, -0.4095173955134962, -0.2584759381267874, -0.12125335350076015, 0.2594188776366672, -0.12014392180998552, -0.19164344269364816, 0.41080746669108154, -0.041889150289754415, 0.2695222898525582, 0.12271268433495157, 0.2300386720727701, 0.023072402831969846, 0.027861764542116172, 0.04988562122228871, 0.13110221305396408, 0.20536816625416965, -0.01401177792403119, -0.0743468174839328, -0.10516533741042361, 0.14158944959013625] |
707.2322 | The correlation between soft and hard X-rays component in flares: from
the Sun to the stars | In this work we study the correlation between the soft (1.6--12.4 keV, mostly
thermal) and the hard (20--40 and 60--80 keV, mostly non-thermal) X-ray
emission in solar flares up to the most energetic events, spanning about 4
orders of magnitude in peak flux, establishing a general scaling law and
extending it to the most intense stellar flaring events observed to date. We
used the data from the Reuven Ramaty High-Energy Solar Spectroscopic Imager
(RHESSI) spacecraft, a NASA Small Explorer launched in February 2002. RHESSI
has good spectral resolution (~1 keV in the X-ray range) and broad energy
coverage (3 keV--20 MeV), which makes it well suited to distinguish the thermal
from non-thermal emission in solar flares. Our study is based on the detailed
analysis of 45 flares ranging from the GOES C-class, to the strongest X-class
events, using the peak photon fluxes in the GOES 1.6--12.4 keV and in two bands
selected from RHESSI data, i.e.20--40 keV and 60--80 keV. We find a significant
correlation between the soft and hard peak X-ray fluxes spanning the complete
sample studied. The resulting scaling law has been extrapolated to the case of
the most intense stellar flares observed, comparing it with the stellar
observations. Our results show that an extrapolation of the scaling law derived
for solar flares to the most active stellar events is compatible with the
available observations of intense stellar flares in hard X-rays.
| astro-ph | in this work we study the correlation between the soft 16124 kev mostly thermal and the hard 2040 and 6080 kev mostly nonthermal xray emission in solar flares up to the most energetic events spanning about 4 orders of magnitude in peak flux establishing a general scaling law and extending it to the most intense stellar flaring events observed to date we used the data from the reuven ramaty highenergy solar spectroscopic imager rhessi spacecraft a nasa small explorer launched in february 2002 rhessi has good spectral resolution 1 kev in the xray range and broad energy coverage 3 kev20 mev which makes it well suited to distinguish the thermal from nonthermal emission in solar flares our study is based on the detailed analysis of 45 flares ranging from the goes cclass to the strongest xclass events using the peak photon fluxes in the goes 16124 kev and in two bands selected from rhessi data ie2040 kev and 6080 kev we find a significant correlation between the soft and hard peak xray fluxes spanning the complete sample studied the resulting scaling law has been extrapolated to the case of the most intense stellar flares observed comparing it with the stellar observations our results show that an extrapolation of the scaling law derived for solar flares to the most active stellar events is compatible with the available observations of intense stellar flares in hard xrays | [['in', 'this', 'work', 'we', 'study', 'the', 'correlation', 'between', 'the', 'soft', '16124', 'kev', 'mostly', 'thermal', 'and', 'the', 'hard', '2040', 'and', '6080', 'kev', 'mostly', 'nonthermal', 'xray', 'emission', 'in', 'solar', 'flares', 'up', 'to', 'the', 'most', 'energetic', 'events', 'spanning', 'about', '4', 'orders', 'of', 'magnitude', 'in', 'peak', 'flux', 'establishing', 'a', 'general', 'scaling', 'law', 'and', 'extending', 'it', 'to', 'the', 'most', 'intense', 'stellar', 'flaring', 'events', 'observed', 'to', 'date', 'we', 'used', 'the', 'data', 'from', 'the', 'reuven', 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707.2323 | Violation of the Appelquist-Carazzone decoupling in non-SUSY GUT | We point out that in non supersymmetric GUTs, in which the SU(5) gauge
symmetry is broken down to the Standard Model gauge group by a $\mathbf{24}$
Higgs multiplet the Appelquist-Carazzone decoupling is violated. This is
because the $SU(2)_L$ Higgs triplet contained in the $\mathbf{24}$ acquires a
dimensionfull coupling to the $SU(2)_L$ Higgs doublets which is proportional to
the GUT breaking vacuum expectation value (VEV) $V$. As a result, at one loop
heavy gauge and Higgs fields contribution to tadpoles generate a VEV of the
triplet which is not suppressed for $V\to\infty$ and violates the custodial
symmetry.
| hep-ph | we point out that in non supersymmetric guts in which the su5 gauge symmetry is broken down to the standard model gauge group by a mathbf24 higgs multiplet the appelquistcarazzone decoupling is violated this is because the su2_l higgs triplet contained in the mathbf24 acquires a dimensionfull coupling to the su2_l higgs doublets which is proportional to the gut breaking vacuum expectation value vev v as a result at one loop heavy gauge and higgs fields contribution to tadpoles generate a vev of the triplet which is not suppressed for vtoinfty and violates the custodial symmetry | [['we', 'point', 'out', 'that', 'in', 'non', 'supersymmetric', 'guts', 'in', 'which', 'the', 'su5', 'gauge', 'symmetry', 'is', 'broken', 'down', 'to', 'the', 'standard', 'model', 'gauge', 'group', 'by', 'a', 'mathbf24', 'higgs', 'multiplet', 'the', 'appelquistcarazzone', 'decoupling', 'is', 'violated', 'this', 'is', 'because', 'the', 'su2_l', 'higgs', 'triplet', 'contained', 'in', 'the', 'mathbf24', 'acquires', 'a', 'dimensionfull', 'coupling', 'to', 'the', 'su2_l', 'higgs', 'doublets', 'which', 'is', 'proportional', 'to', 'the', 'gut', 'breaking', 'vacuum', 'expectation', 'value', 'vev', 'v', 'as', 'a', 'result', 'at', 'one', 'loop', 'heavy', 'gauge', 'and', 'higgs', 'fields', 'contribution', 'to', 'tadpoles', 'generate', 'a', 'vev', 'of', 'the', 'triplet', 'which', 'is', 'not', 'suppressed', 'for', 'vtoinfty', 'and', 'violates', 'the', 'custodial', 'symmetry']] | [-0.15159125785724795, 0.2953800674121668, -0.03131918859311399, 0.17331106836431998, -0.1507882565913841, -0.24312037630799285, -0.0063838521514008656, 0.32182641053928973, -0.1694986869474536, -0.25013457654797017, 0.03714775934968976, -0.2370636641899956, -0.013872994308141953, -0.027058841152849827, -0.00443214263291435, -0.029489260929775364, -0.0694594625210231, 0.046049672336208616, -0.04853300941350097, -0.281793495659974, 0.301760415232027, -0.04509413122642845, 0.27977040223281907, 0.0529716609335663, 0.12935525852012786, -0.033216466121573716, 0.0978156859352392, -0.14643108231471258, -0.0043654147727678755, 0.08411810459306543, 0.14383793424596972, 0.005132673932437567, 0.1193588690713365, -0.31072615691401223, -0.1273430337624109, 0.19080026057905497, 0.16377441168941081, 0.15256263410915283, -0.043243022828779, -0.3497351606356654, 0.111269859847256, -0.17807056676804464, -0.1198392375508581, -0.07303965850634143, -0.09304761598778373, -0.29807446198104487, -0.4033625404736859, 0.09925421917850667, -0.06748136889283604, 0.057670370221108276, 0.043801636563891425, -0.09427690383373818, -0.17973830620572467, -0.047841785584596244, 0.2901642310514828, 0.06474800077155529, 0.18902009765449118, -0.2614945084781713, -0.1157928324562121, 0.4477918255539175, -0.13728056332973287, -0.1630130096913335, 0.07691356491673976, -0.10135312470548014, -0.1848627691989408, 0.13998940547660707, 0.09127999751140027, 0.08615137494981606, -0.1361018667849613, 0.282352805542611, -0.06885625409616276, 0.15672024394084572, 0.024691414593302822, 0.029169200240891983, 0.28193869045440184, 0.09444323006244575, 0.09814465974279224, 0.03964026209383093, 0.02539192433865305, -0.12748413851504473, -0.5174974431382849, -0.15119903410216445, -0.10069946448338475, 0.1064252940805671, -0.03977497648218637, -0.11001221601791839, 0.4457948273592728, 0.1483622581965508, 0.22008377273983143, 0.021809943202397528, 0.2149472065081701, 0.10563618017848522, 0.21433338509535693, -0.004505647440500399, 0.2898680070078278, 0.15375543746755438, 0.08086836665987651, -0.28024625527038377, -0.12277283469039174, 0.15715084223453193] |
707.2324 | Search for medium modification of the $\rho$ meson | The photoproduction of vector mesons on various nuclei has been studied using
the CEBAF Large Acceptance Spectrometer (CLAS) at Jefferson Laboratory. The
vector mesons, $\rho$, $\omega$, and $\phi$, are observed via their decay to
$e^+e^-$, in order to reduce the effects of final state interactions in the
nucleus. Of particular interest are possible in-medium effects on the
properties of the $\rho$ meson. The $\rho$ spectral function is extracted from
the data on various nuclei, carbon, iron, and titanium, and compared to the
spectrum from liquid deuterium, which is relatively free of nuclear effects. We
observe no significant mass shift for the $\rho$ meson; however, there is some
widening of the resonance in titanium and iron, which is consistent with
expected collisional broadening.
| nucl-ex | the photoproduction of vector mesons on various nuclei has been studied using the cebaf large acceptance spectrometer clas at jefferson laboratory the vector mesons rho omega and phi are observed via their decay to ee in order to reduce the effects of final state interactions in the nucleus of particular interest are possible inmedium effects on the properties of the rho meson the rho spectral function is extracted from the data on various nuclei carbon iron and titanium and compared to the spectrum from liquid deuterium which is relatively free of nuclear effects we observe no significant mass shift for the rho meson however there is some widening of the resonance in titanium and iron which is consistent with expected collisional broadening | [['the', 'photoproduction', 'of', 'vector', 'mesons', 'on', 'various', 'nuclei', 'has', 'been', 'studied', 'using', 'the', 'cebaf', 'large', 'acceptance', 'spectrometer', 'clas', 'at', 'jefferson', 'laboratory', 'the', 'vector', 'mesons', 'rho', 'omega', 'and', 'phi', 'are', 'observed', 'via', 'their', 'decay', 'to', 'ee', 'in', 'order', 'to', 'reduce', 'the', 'effects', 'of', 'final', 'state', 'interactions', 'in', 'the', 'nucleus', 'of', 'particular', 'interest', 'are', 'possible', 'inmedium', 'effects', 'on', 'the', 'properties', 'of', 'the', 'rho', 'meson', 'the', 'rho', 'spectral', 'function', 'is', 'extracted', 'from', 'the', 'data', 'on', 'various', 'nuclei', 'carbon', 'iron', 'and', 'titanium', 'and', 'compared', 'to', 'the', 'spectrum', 'from', 'liquid', 'deuterium', 'which', 'is', 'relatively', 'free', 'of', 'nuclear', 'effects', 'we', 'observe', 'no', 'significant', 'mass', 'shift', 'for', 'the', 'rho', 'meson', 'however', 'there', 'is', 'some', 'widening', 'of', 'the', 'resonance', 'in', 'titanium', 'and', 'iron', 'which', 'is', 'consistent', 'with', 'expected', 'collisional', 'broadening']] | [-0.04389217200872229, 0.2384539684509767, -0.10421687515965877, 0.09183945709774576, -0.024160617794536175, -0.0826742654651037, 0.03725833839118542, 0.38118320208836776, -0.19148078957786324, -0.24715706580852875, -0.017087527784541798, -0.379524978870129, 0.02522790669387237, 0.15392984313123143, 0.0718890019753551, 0.10572562974087558, 0.044787367973782, 0.06935352639707386, -0.061595543188932275, -0.14970724048001355, 0.3598065069479654, 0.07483523904124549, 0.24510018713772297, 0.14844156249497156, 0.03313359774775101, 0.0004843433662394031, -0.009555826391108701, -0.030825445649870595, -0.10536924771369115, 0.05374917577375795, 0.2536892067377654, 0.07194409048429033, 0.17711917197973023, -0.3750268896644721, -0.1662085392191762, 0.1299053248949349, 0.13190283517536447, 0.07521750005229269, -0.08887531739930607, -0.31228196191158697, 0.07991869878939918, -0.19945395127183102, -0.09739013466617612, -0.07612457032483376, 0.04749514345942279, 0.008211263908468354, -0.27177695164334825, 0.03663684531557755, -0.04178837451083799, 0.07789658353144883, -0.1130549911424884, -0.2639617900722889, -0.03277027271268126, 0.05409993032436268, 0.10373289361748783, 0.09118670540419026, 0.21360559912291585, -0.15201225651706737, -0.056119584310494484, 0.41271099760426116, -0.0443225590804149, -0.13636611542496524, 0.15377843072332564, -0.24512029138057814, -0.1074440510500772, 0.20467938814449627, 0.2088404032573501, 0.07704827861600845, -0.1385911704292979, 0.08964607773585337, -0.03796616114187436, 0.19391905095000736, 0.06132556402628295, 0.09451172365062702, 0.14621766155097085, 0.18131926107472268, -0.041937819822809703, 0.08193721899335257, -0.14648643848448076, -0.05215829615070881, -0.30323169672800626, -0.1136767894991475, -0.09900955156591094, 0.029706247517319977, -0.02337484671991914, -0.10063553508371115, 0.3371070513242214, 0.03309838789454127, 0.24673855779921544, -0.05755776721892542, 0.29522811151185974, 0.10189580849799343, 0.09112039929232942, 0.04000770371239327, 0.3031915737839404, 0.22524409324167388, 0.1330288215120491, -0.3173703003758717, 0.08221059959175707, -0.025328573350962558] |
707.2325 | SiPM used as fast Photon-Counting Module and for Multiphoton Detection | We demonstrate fast counting and multiphoton detection abilities of a Silicon
Photo Multiplier (SiPM). In fast counting mode we are able to detect two
consecutive photons separated by only 2.3 ns corresponding to 430 MHz. The
counting efficiency for small optical intensities at a wavelength of 532 nm was
found to be around 8.3% with a dark count rate of 50 kHz at T=-7 degrees
Celsius. Using the SiPM in multiphoton detection mode, we find a good signal
discrimination for different numbers of simultaneous detected photons.
| quant-ph astro-ph physics.bio-ph physics.ins-det | we demonstrate fast counting and multiphoton detection abilities of a silicon photo multiplier sipm in fast counting mode we are able to detect two consecutive photons separated by only 23 ns corresponding to 430 mhz the counting efficiency for small optical intensities at a wavelength of 532 nm was found to be around 83 with a dark count rate of 50 khz at t7 degrees celsius using the sipm in multiphoton detection mode we find a good signal discrimination for different numbers of simultaneous detected photons | [['we', 'demonstrate', 'fast', 'counting', 'and', 'multiphoton', 'detection', 'abilities', 'of', 'a', 'silicon', 'photo', 'multiplier', 'sipm', 'in', 'fast', 'counting', 'mode', 'we', 'are', 'able', 'to', 'detect', 'two', 'consecutive', 'photons', 'separated', 'by', 'only', '23', 'ns', 'corresponding', 'to', '430', 'mhz', 'the', 'counting', 'efficiency', 'for', 'small', 'optical', 'intensities', 'at', 'a', 'wavelength', 'of', '532', 'nm', 'was', 'found', 'to', 'be', 'around', '83', 'with', 'a', 'dark', 'count', 'rate', 'of', '50', 'khz', 'at', 't7', 'degrees', 'celsius', 'using', 'the', 'sipm', 'in', 'multiphoton', 'detection', 'mode', 'we', 'find', 'a', 'good', 'signal', 'discrimination', 'for', 'different', 'numbers', 'of', 'simultaneous', 'detected', 'photons']] | [-0.10518207034768894, 0.19038480846617414, 0.006101427718910367, 0.01728637447190839, 0.010872198469113819, -0.19252716635657086, 0.08802462426057561, 0.4470721770857656, -0.17954939123795388, -0.42001710320974506, 0.038781267496064135, -0.31238736337873824, 0.029734531482465045, 0.2441604229686565, -0.029500179842850843, 0.060069245708629836, 0.03308173976594929, 0.010132744632184852, 0.0060131422590550985, -0.1755203928495216, 0.1253912214752893, 0.08756872016914882, 0.29775978811085224, 0.03989566315701881, 0.14791337684403325, -0.007589413085952401, -0.04113054578733999, -0.10091291984738132, -0.06942234062697998, 0.03458325043428949, 0.3057966637831225, 0.07769886824453986, 0.20994609772216874, -0.3667635974409275, -0.12200318928266507, 0.10827592296558324, 0.13455709686968476, 0.06953797502941343, -0.0451063942272476, -0.2653776791683117, 0.12088181134746519, -0.14601004196244272, -0.10545414137968057, -0.010032119153630595, 0.012889390359199497, 0.02910891439505788, -0.2507858029241825, 0.0662817151480636, -0.036376032259837765, 0.05934373727934652, 0.024041387994318854, -0.07386985015622231, 0.03053554227618977, 0.03546427932654529, -0.06307587781271269, -0.014099573989961903, 0.19374804932429174, -0.12550583881390995, -0.14708201769132948, 0.2853939177598371, -0.1046022527450479, -0.07853903156856812, 0.1933673308772403, -0.2147410426635382, -0.06340404125038794, 0.31716991357808544, 0.13501045019040966, 0.13454126820156384, -0.1388791722575809, -0.08209956055141573, 0.03468977233535762, 0.3098455029323177, 0.23805481556066593, 0.09576568486125664, 0.23431725224458375, 0.16575822695483303, -0.013488894004948697, 0.14358705559306842, -0.274640514666951, 0.03625502738408571, -0.26634498349889074, -0.12001868913513283, -0.15212968870290816, 0.07444405274974658, -0.06099614687788511, -0.06962065027788454, 0.44764415621974096, 0.12157193048475419, 0.17356800693520452, 0.03973955807795878, 0.301163362079235, 0.10986872918384019, 0.08690787736478067, 0.00018469895084583483, 0.32119377997032433, 0.1538354783281034, 0.07459700959301445, -0.20158494490761916, -0.07721774131709407, -0.02398607271268617] |
707.2326 | Some examples of vector bundles in the base locus of the generalized
theta divisor | This paper shows that on the moduli space of semi-stable vector bundles of
fixed rank and determinant (of any degree) on a smooth curve of genus at least
two, the base locus of the generalized theta divisor is large provided the rank
is sufficiently large. It also shows that the base locus is large for positive
multiples of the theta divisor. This work extends results already known for the
case where the determinant is of degree zero.
| math.AG | this paper shows that on the moduli space of semistable vector bundles of fixed rank and determinant of any degree on a smooth curve of genus at least two the base locus of the generalized theta divisor is large provided the rank is sufficiently large it also shows that the base locus is large for positive multiples of the theta divisor this work extends results already known for the case where the determinant is of degree zero | [['this', 'paper', 'shows', 'that', 'on', 'the', 'moduli', 'space', 'of', 'semistable', 'vector', 'bundles', 'of', 'fixed', 'rank', 'and', 'determinant', 'of', 'any', 'degree', 'on', 'a', 'smooth', 'curve', 'of', 'genus', 'at', 'least', 'two', 'the', 'base', 'locus', 'of', 'the', 'generalized', 'theta', 'divisor', 'is', 'large', 'provided', 'the', 'rank', 'is', 'sufficiently', 'large', 'it', 'also', 'shows', 'that', 'the', 'base', 'locus', 'is', 'large', 'for', 'positive', 'multiples', 'of', 'the', 'theta', 'divisor', 'this', 'work', 'extends', 'results', 'already', 'known', 'for', 'the', 'case', 'where', 'the', 'determinant', 'is', 'of', 'degree', 'zero']] | [-0.24159716737347764, 0.0728894009265456, -0.07954665501420567, 0.021906798188393185, -0.09403774207276473, -0.1598530965131502, 0.031434602843440296, 0.2734934548278908, -0.27310359286289515, -0.17513628515668891, 0.09642123380167918, -0.24359010638935225, -0.20605871579670287, 0.20617376306614318, -0.09885275757012817, -0.021201804655229115, 0.04487643337675503, 0.12447914599694988, -0.0741767581165224, -0.3255858202162501, 0.48248480313590597, -0.015493903298523615, 0.22336063866636582, 0.09874174763847675, 0.1339221742826623, 0.006487450299349117, 0.02484529966174008, -0.004306955100112752, -0.08889026905492389, 0.11815211199248185, 0.2932866912867342, 0.09102365431818407, 0.22094480070442735, -0.2846437414454949, -0.16353697812354023, 0.23945716717854965, 0.10276010489792793, 0.021324940013711328, 0.042133348591795024, -0.14312816842749423, 0.1442130652994111, -0.11098010692626008, -0.24682349399603032, -0.05595649839318418, 0.056759300965259406, 0.021963349114135874, -0.252144509273303, -0.0226281955146515, 0.06636859246759445, 0.15518859703722712, 0.004729470443706234, -0.21002932974173652, -0.08331741837107322, 0.04410537026895137, 0.09571931860712055, 0.11530072683341462, 0.02469108546418803, -0.14012133818143954, -0.017815679559701834, 0.3212174739229021, -0.08428405412750972, -0.2134694249744152, 0.1360392086631195, -0.1997361338467567, -0.12092995435580031, 0.1839063655246388, 0.11859192252884825, 0.2215809976786387, 0.02776755305466714, 0.16868723394249432, -0.12034830223623809, 0.16729724119937459, 0.09617702927827448, -0.07312212780408271, 0.1506136783501496, 0.125107365611989, 0.09308874689332851, 0.10831638704078247, -0.09888997684269175, -0.05851001578818571, -0.38340190130394775, -0.22219123697367968, -0.21422112799043974, 0.12342332185596808, -0.16220308250619866, -0.16422745300299646, 0.42452269356528466, 0.03713074549669763, 0.25886292096420926, 0.16351502146813776, 0.2658936788098185, 0.07480677399427521, 0.0724246021868153, 0.07164761910287591, 0.170872677776769, 0.1525462232651068, -0.018040427079351693, -0.14760237085245936, 0.025395081578088657, 0.13351800292125576] |
707.2327 | On points at infinity of real spectra of polynomial rings | Let R be a real closed field and A=R[x_1,...,x_n]. Let sper A denote the real
spectrum of A. There are two kinds of points in sper A : finite points (those
for which all of |x_1|,...,|x_n| are bounded above by some constant in R) and
points at infinity. In this paper we study the structure of the set of points
at infinity of sper A and their associated valuations. Let T be a subset of
{1,...,n}. For j in {1,...,n}, let y_j=x_j if j is not in T and y_j=1/x_j if j
is in T. Let B_T=R[y_1,...,y_n]. We express sper A as a disjoint union of sets
of the form U_T and construct a homeomorphism of each of the sets U_T with a
subspace of the space of finite points of sper B_T. For each point d at
infinity in U_T, we describe the associated valuation v_{d*} of its image d* in
sper B_T in terms of the valuation v_d associated to d. Among other things we
show that the valuation v_{d*} is composed with v_d (in other words, the
valuation ring R_d is a localization of R_{d*} at a suitable prime ideal).
| math.AG | let r be a real closed field and arx_1x_n let sper a denote the real spectrum of a there are two kinds of points in sper a finite points those for which all of x_1x_n are bounded above by some constant in r and points at infinity in this paper we study the structure of the set of points at infinity of sper a and their associated valuations let t be a subset of 1n for j in 1n let y_jx_j if j is not in t and y_j1x_j if j is in t let b_try_1y_n we express sper a as a disjoint union of sets of the form u_t and construct a homeomorphism of each of the sets u_t with a subspace of the space of finite points of sper b_t for each point d at infinity in u_t we describe the associated valuation v_d of its image d in sper b_t in terms of the valuation v_d associated to d among other things we show that the valuation v_d is composed with v_d in other words the valuation ring r_d is a localization of r_d at a suitable prime ideal | [['let', 'r', 'be', 'a', 'real', 'closed', 'field', 'and', 'arx_1x_n', 'let', 'sper', 'a', 'denote', 'the', 'real', 'spectrum', 'of', 'a', 'there', 'are', 'two', 'kinds', 'of', 'points', 'in', 'sper', 'a', 'finite', 'points', 'those', 'for', 'which', 'all', 'of', 'x_1x_n', 'are', 'bounded', 'above', 'by', 'some', 'constant', 'in', 'r', 'and', 'points', 'at', 'infinity', 'in', 'this', 'paper', 'we', 'study', 'the', 'structure', 'of', 'the', 'set', 'of', 'points', 'at', 'infinity', 'of', 'sper', 'a', 'and', 'their', 'associated', 'valuations', 'let', 't', 'be', 'a', 'subset', 'of', '1n', 'for', 'j', 'in', '1n', 'let', 'y_jx_j', 'if', 'j', 'is', 'not', 'in', 't', 'and', 'y_j1x_j', 'if', 'j', 'is', 'in', 't', 'let', 'b_try_1y_n', 'we', 'express', 'sper', 'a', 'as', 'a', 'disjoint', 'union', 'of', 'sets', 'of', 'the', 'form', 'u_t', 'and', 'construct', 'a', 'homeomorphism', 'of', 'each', 'of', 'the', 'sets', 'u_t', 'with', 'a', 'subspace', 'of', 'the', 'space', 'of', 'finite', 'points', 'of', 'sper', 'b_t', 'for', 'each', 'point', 'd', 'at', 'infinity', 'in', 'u_t', 'we', 'describe', 'the', 'associated', 'valuation', 'v_d', 'of', 'its', 'image', 'd', 'in', 'sper', 'b_t', 'in', 'terms', 'of', 'the', 'valuation', 'v_d', 'associated', 'to', 'd', 'among', 'other', 'things', 'we', 'show', 'that', 'the', 'valuation', 'v_d', 'is', 'composed', 'with', 'v_d', 'in', 'other', 'words', 'the', 'valuation', 'ring', 'r_d', 'is', 'a', 'localization', 'of', 'r_d', 'at', 'a', 'suitable', 'prime', 'ideal']] | [-0.19956322023201556, 0.1122424302514268, -0.04777690225216762, -0.04895248114335888, -0.03198913845760876, -0.15927181660724932, 0.03279548991661243, 0.31609415729091594, -0.3182207978473454, -0.15387451258197268, 0.07908235611665068, -0.3519982070607877, -0.04870237262485914, 0.1664933288933724, -0.07682529121893582, -0.05688952543636015, -0.026407900876759812, 0.13985224899210075, -0.03141768567298574, -0.2420779048950564, 0.3413621839135885, -0.08520691704852555, 0.13923789825393307, 0.00399962909243725, 0.09784404625567958, -0.013831188941679935, 0.0017500761970286331, 0.06548591961615433, -0.17551609517153502, 0.09098241016978309, 0.28097465024305085, 0.11268119416667749, 0.31331264970592526, -0.3354154915977565, -0.135179330496285, 0.23669527817478098, 0.14597164001808596, -0.062205971529702385, 0.052233676667566654, -0.22913078467543951, 0.17615900502759452, -0.12578000351983717, -0.15307112073614484, -0.02366663243562456, 0.14903290058848345, 0.05042767868544808, -0.3426174256736881, -0.0003263221772771979, 0.05620517955462217, 0.12865350113334084, -0.04997495999719908, -0.1432990089167284, -0.05216905000747709, 0.06117530259249545, -0.0038585939799391086, 0.11422117907928411, 0.044905202110943496, -0.07865289216195899, -0.10328735092842074, 0.41263683882379343, -0.08983296680229681, -0.22405239782990918, 0.13132528974502175, -0.2520523715239029, -0.09888967411671445, 0.10039912074035595, 0.13701254656666487, 0.13311704616530468, -0.06582484599824985, 0.23602904462583224, -0.11307816517357, 0.069475810389218, 0.09343404380392736, 0.011318571597002643, 0.16784240757287652, 0.06995292018763918, 0.08735230258341371, 0.11933256267316186, -0.046898686419125334, 0.00512043029198019, -0.4034270677005961, -0.16839480797499023, -0.2004789277441829, 0.13648394656513274, -0.13330023746194364, -0.16423637441620625, 0.37739615360269985, 0.08658832634390189, 0.28091913579948363, 0.07327332349664104, 0.19029121928744847, 0.07708119505299711, 0.020938136873559818, 0.13308665407427325, 0.05468778872801479, 0.10783772648154467, -0.008805669521390603, -0.17117422556987516, 0.012116271433316998, 0.1141435745046394] |
707.2328 | Interaction of carbon clusters with Ni(100) : Application to the
nucleation of carbon nanotubes | In order to understand the first stages of the nucleation of carbon nanotubes
in catalytic processes, we present a tight-binding Monte Carlo study of the
stability and cohesive mechanisms of different carbon structures deposited on
nickel (100) surfaces. Depending on the geometry, we obtain contrasted results.
On the one hand, the analysis of the local energy distributions of flat carbon
sheets, demonstrate that dangling bonds remain unsaturated in spite of the
presence of the metallic catalyst. Their adhesion results from the energy gain
of the surface Ni atoms located below the carbon nanostructure. On the other
hand, carbon caps are stabilized by the presence of carbon atoms occupying the
hollow sites of the fcc nickel structure suggesting the saturation of the
dangling bonds.
| cond-mat.mtrl-sci | in order to understand the first stages of the nucleation of carbon nanotubes in catalytic processes we present a tightbinding monte carlo study of the stability and cohesive mechanisms of different carbon structures deposited on nickel 100 surfaces depending on the geometry we obtain contrasted results on the one hand the analysis of the local energy distributions of flat carbon sheets demonstrate that dangling bonds remain unsaturated in spite of the presence of the metallic catalyst their adhesion results from the energy gain of the surface ni atoms located below the carbon nanostructure on the other hand carbon caps are stabilized by the presence of carbon atoms occupying the hollow sites of the fcc nickel structure suggesting the saturation of the dangling bonds | [['in', 'order', 'to', 'understand', 'the', 'first', 'stages', 'of', 'the', 'nucleation', 'of', 'carbon', 'nanotubes', 'in', 'catalytic', 'processes', 'we', 'present', 'a', 'tightbinding', 'monte', 'carlo', 'study', 'of', 'the', 'stability', 'and', 'cohesive', 'mechanisms', 'of', 'different', 'carbon', 'structures', 'deposited', 'on', 'nickel', '100', 'surfaces', 'depending', 'on', 'the', 'geometry', 'we', 'obtain', 'contrasted', 'results', 'on', 'the', 'one', 'hand', 'the', 'analysis', 'of', 'the', 'local', 'energy', 'distributions', 'of', 'flat', 'carbon', 'sheets', 'demonstrate', 'that', 'dangling', 'bonds', 'remain', 'unsaturated', 'in', 'spite', 'of', 'the', 'presence', 'of', 'the', 'metallic', 'catalyst', 'their', 'adhesion', 'results', 'from', 'the', 'energy', 'gain', 'of', 'the', 'surface', 'ni', 'atoms', 'located', 'below', 'the', 'carbon', 'nanostructure', 'on', 'the', 'other', 'hand', 'carbon', 'caps', 'are', 'stabilized', 'by', 'the', 'presence', 'of', 'carbon', 'atoms', 'occupying', 'the', 'hollow', 'sites', 'of', 'the', 'fcc', 'nickel', 'structure', 'suggesting', 'the', 'saturation', 'of', 'the', 'dangling', 'bonds']] | [-0.1089216043521476, 0.15511218270635216, 0.013608916594487866, 0.004886763831941274, 0.07204648823007881, -0.11207693562714185, 0.11901237114665772, 0.4251615166421828, -0.23851134209340907, -0.2984792255802171, 0.03255434222311175, -0.3415536136798015, -0.0664502333781523, 0.11117309391331988, 0.04672668453654259, -0.06908008174579619, 0.07465729199972655, -0.06828361643455559, -0.05189720789402178, -0.2556212657241045, 0.2864461128668087, 0.09150032311814224, 0.34281639187649743, 0.12356965368513276, 0.010122563795951323, -0.029016918302097214, 0.0823151205507357, -0.014399834537530333, -0.1892200817974077, 0.18039018713300803, 0.1658563217700921, -0.09054191223519846, 0.18807738531585327, -0.5662001306721107, -0.19624889123336814, 0.02245862743622298, 0.09627005290164332, 0.1339039907192554, -0.056011174432554746, -0.21854229812033293, 0.039099748889968644, -0.10655365409556686, -0.15470769072150384, 0.015524096665828208, -0.02916218115516552, 0.10044007428649177, -0.15667981728561206, 0.0598941632978073, 0.06528426614037253, 0.07474543909898133, -0.13827965857567098, -0.1713680906402992, -0.18666103449309382, 0.0513702513445623, 0.05546626746294853, -0.07840907705637316, 0.2715643638767665, -0.09519565857310848, -0.07339851611967736, 0.4231829035694037, -0.05340164047722682, -0.08666348867156218, 0.22112644335058163, -0.16012955666330408, -0.1026176883331765, 0.18906086588058832, 0.13606873033492545, 0.14958675872398222, -0.12916532104382503, 0.050208239395425056, 0.006281558805135208, 0.143375817110868, 0.10580861169799435, 0.025110332921859088, 0.240970917913033, 0.2616039775614816, 0.03752692629833047, 0.16302165752172668, -0.1554939567936751, -0.08553600041725772, -0.218996926410525, -0.2251111785389059, -0.18615735380160736, 0.036667857751651566, -0.11334914144692182, -0.23387066095431402, 0.36138456537789565, 0.05824033300604338, 0.16398483066160868, -0.06592742088667261, 0.20681413835315868, 0.001224413999674342, 0.06362493516975726, -0.010821937303232953, 0.26620569818736456, 0.17959655072668765, 0.0615293158150119, -0.2486710385627651, 0.1313194674477587, 0.020198541829680523] |
707.2329 | Isometries for the Caratheodory Metric | Under certain hypothesises, we prove that a map which is an isometry for the
Caratheodory infinitesimal metric at a point is an analytic isomorphism onto
its image.
| math.FA math.CV | under certain hypothesises we prove that a map which is an isometry for the caratheodory infinitesimal metric at a point is an analytic isomorphism onto its image | [['under', 'certain', 'hypothesises', 'we', 'prove', 'that', 'a', 'map', 'which', 'is', 'an', 'isometry', 'for', 'the', 'caratheodory', 'infinitesimal', 'metric', 'at', 'a', 'point', 'is', 'an', 'analytic', 'isomorphism', 'onto', 'its', 'image']] | [-0.16585779734528983, 0.017423873804196213, -0.15992203700499466, 0.05861866098936074, -0.0745578919035884, -0.08338670076157612, -0.007137922140268179, 0.4150127418912374, -0.38267858441059405, -0.09899245123737134, 0.17330870976170096, -0.2960286151904326, -0.16916624774547437, 0.1921713941085797, -0.1656713578133629, 0.042027408899649836, 0.039331471583304495, 0.1556864739395678, -0.1470443966995495, -0.19631491802059686, 0.4112096970471052, 0.013462998241615983, 0.25124188302120626, 0.05878574768967855, 0.24391338229179382, -0.010627063546473017, 0.1030842109869879, -0.03824986990254659, -0.13548286407072177, 0.07040770488003126, 0.2688570504005139, 0.13362189198736674, 0.23613870937305576, -0.3175125279320547, -0.12359494443696278, 0.18266685804925287, 0.06980071807853304, 0.03923530985440056, -0.10142750197197668, -0.3137610647110985, 0.18258440741696036, -0.06309963906040558, -0.12571398272680548, -0.0675901764502319, 0.06344981563205902, -0.07131645241035865, -0.30324097049350923, -0.06493941221672755, 0.1684983127678816, 0.08734490425111009, -0.10095300053049308, 0.06121005155504323, -0.0336625452619046, 0.09634747674975258, 0.010040655875435242, 0.19108073347104856, 0.16260783592812145, -0.10334538367505257, -0.038636879881288715, 0.3750429024490026, -0.011248090232794102, -0.28808832799012846, 0.13573485054075718, -0.08876166299272042, -0.17717849377256173, 0.12593902819431746, 0.07879052993554908, 0.1415508388834916, -0.13525160115498763, 0.2180509093002631, -0.1521297559285393, 0.11355233705230952, 0.11352691985666752, -0.06964342910438202, 0.15945736297334617, 0.0735214795344151, 0.2307343872693869, 0.21379138751385304, -0.017774624176896535, -0.029282647686508987, -0.3595133125782013, -0.19953044074086043, -0.18042631400749087, 0.17289921906418526, -0.21156502477466488, -0.21953131616688693, 0.36080675572156906, 0.0776402372150467, 0.24597888339597446, 0.14085874649642321, 0.23394140414893627, 0.13420597528322384, 0.031059648680429045, 0.06572790898812506, 0.202573306285418, 0.13893731826773056, -0.0731066211592406, -0.12653395293567044, -0.013046796397807507, 0.2152253668038891] |
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