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711.4608 | Spin Transfer Torques | This tutorial article introduces the physics of spin transfer torques in
magnetic devices. We provide an elementary discussion of the mechanism of spin
transfer torque, and review the theoretical and experimental progress in this
field. Our intention is to be accessible to beginning graduate students. This
is the introductory paper for a cluster of "Current Perspectives" articles on
spin transfer torques published in volume 320 of the Journal of Magnetism and
Magnetic Materials. This article is meant to set the stage for the others which
follow it in this cluster; they focus in more depth on particularly interesting
aspects of spin-torque physics and highlight unanswered questions that might be
productive topics for future research.
| cond-mat.other | this tutorial article introduces the physics of spin transfer torques in magnetic devices we provide an elementary discussion of the mechanism of spin transfer torque and review the theoretical and experimental progress in this field our intention is to be accessible to beginning graduate students this is the introductory paper for a cluster of current perspectives articles on spin transfer torques published in volume 320 of the journal of magnetism and magnetic materials this article is meant to set the stage for the others which follow it in this cluster they focus in more depth on particularly interesting aspects of spintorque physics and highlight unanswered questions that might be productive topics for future research | [['this', 'tutorial', 'article', 'introduces', 'the', 'physics', 'of', 'spin', 'transfer', 'torques', 'in', 'magnetic', 'devices', 'we', 'provide', 'an', 'elementary', 'discussion', 'of', 'the', 'mechanism', 'of', 'spin', 'transfer', 'torque', 'and', 'review', 'the', 'theoretical', 'and', 'experimental', 'progress', 'in', 'this', 'field', 'our', 'intention', 'is', 'to', 'be', 'accessible', 'to', 'beginning', 'graduate', 'students', 'this', 'is', 'the', 'introductory', 'paper', 'for', 'a', 'cluster', 'of', 'current', 'perspectives', 'articles', 'on', 'spin', 'transfer', 'torques', 'published', 'in', 'volume', '320', 'of', 'the', 'journal', 'of', 'magnetism', 'and', 'magnetic', 'materials', 'this', 'article', 'is', 'meant', 'to', 'set', 'the', 'stage', 'for', 'the', 'others', 'which', 'follow', 'it', 'in', 'this', 'cluster', 'they', 'focus', 'in', 'more', 'depth', 'on', 'particularly', 'interesting', 'aspects', 'of', 'spintorque', 'physics', 'and', 'highlight', 'unanswered', 'questions', 'that', 'might', 'be', 'productive', 'topics', 'for', 'future', 'research']] | [-0.10093947006246533, 0.1542442394656654, -0.06350959771850939, 0.05994447157105529, -0.16928241828358487, -0.10559168269678035, 0.03046222092898301, 0.36945508711301445, -0.2722719933126906, -0.3440070235407339, 0.06648542354467504, -0.2678231711483054, -0.1586108736600931, 0.24595322326773353, -0.07486909532739797, -0.04031909022096283, 0.06775810253263141, 0.005357813178163365, -0.03223852978574047, -0.2942317522032873, 0.30828392471333865, 0.10550361435059785, 0.26432517942923467, 0.11296479776501656, 0.030116235100043316, -0.01436618140800611, -0.05597047678096906, -0.019828433496673313, -0.17727293729535232, 0.17498572971549278, 0.3437557486314817, 0.09366487366098322, 0.3092135143703209, -0.4577758182657131, -0.16705005504793422, -0.01362253812942327, 0.10181615807181388, 0.1558790451411991, -0.09402976643864429, -0.2496867449954152, 0.024717804577034132, -0.19197647468791457, -0.0934565415106287, -0.07005404625006281, 0.06402592654768868, -0.017672902201874216, -0.18093084979173318, 0.032542573970236015, 0.12912759383764574, 0.1365562003236591, -0.030934029648498132, -0.1646081247007507, 0.07076019925686221, 0.14132847621416053, 0.06692695781269944, 0.07391562974162139, 0.16548057202772612, -0.19240709285358, -0.15565612618484648, 0.3593858530940978, 0.033200963081693964, -0.13733822772414178, 0.18798632335771495, -0.1659494713112189, -0.15516996097734623, 0.0247314649086707, 0.21083492043085003, 0.11013004744605145, -0.19651789263936512, 0.05940619524641845, 0.0016621122741254798, 0.13262283152557516, -0.01684056089276023, 0.024897045357839057, 0.30758091009205635, 0.21764676093140192, 0.016466341604347946, 0.10041935501871385, -0.026442863545462228, -0.09318076959901016, -0.28863359144643735, -0.18553330999055648, -0.16131119929221377, 0.07638643252287518, 0.06710361566429288, -0.11256064806059983, 0.4357243798215661, 0.24656851848448513, 0.12941819779052025, -0.04316333208892805, 0.2787487668949261, 0.04701336807780184, 0.0205820872539781, 0.030893490090149276, 0.24519967945014828, 0.14567438404998956, 0.21201220044882543, -0.1798286437610442, 0.04448607320113009, -0.006613802771378113] |
711.4609 | Induced antiferromagnetism and large magnetoresistances in
RuSr2(Nd,Y,Ce)2Cu2O10-d ruthenocuprates | RuSr2(Nd,Y,Ce)2Cu2O10-d ruthenocuprates have been studied by neutron
diffraction, magnetotransport and magnetisation measurements and the electronic
phase diagram is reported. Separate Ru and Cu spin ordering transitions are
observed, with spontaneous Cu antiferromagnetic order for low hole doping
levels p, and a distinct, induced-antiferromagnetic Cu spin phase in the 0.02 <
p < 0.06 pseudogap region. This ordering gives rise to large negative
magnetoresistances which vary systematically with p in the
RuSr2Nd1.8-xY0.2CexCu2O10-d series. A collapse of the magnetoresistance (MR)
and magnetisation in the pre-superconducting region may signify the onset of
superconducting fluctuations.
| cond-mat.supr-con cond-mat.str-el | rusr2ndyce2cu2o10d ruthenocuprates have been studied by neutron diffraction magnetotransport and magnetisation measurements and the electronic phase diagram is reported separate ru and cu spin ordering transitions are observed with spontaneous cu antiferromagnetic order for low hole doping levels p and a distinct inducedantiferromagnetic cu spin phase in the 002 p 006 pseudogap region this ordering gives rise to large negative magnetoresistances which vary systematically with p in the rusr2nd18xy02cexcu2o10d series a collapse of the magnetoresistance mr and magnetisation in the presuperconducting region may signify the onset of superconducting fluctuations | [['rusr2ndyce2cu2o10d', 'ruthenocuprates', 'have', 'been', 'studied', 'by', 'neutron', 'diffraction', 'magnetotransport', 'and', 'magnetisation', 'measurements', 'and', 'the', 'electronic', 'phase', 'diagram', 'is', 'reported', 'separate', 'ru', 'and', 'cu', 'spin', 'ordering', 'transitions', 'are', 'observed', 'with', 'spontaneous', 'cu', 'antiferromagnetic', 'order', 'for', 'low', 'hole', 'doping', 'levels', 'p', 'and', 'a', 'distinct', 'inducedantiferromagnetic', 'cu', 'spin', 'phase', 'in', 'the', '002', 'p', '006', 'pseudogap', 'region', 'this', 'ordering', 'gives', 'rise', 'to', 'large', 'negative', 'magnetoresistances', 'which', 'vary', 'systematically', 'with', 'p', 'in', 'the', 'rusr2nd18xy02cexcu2o10d', 'series', 'a', 'collapse', 'of', 'the', 'magnetoresistance', 'mr', 'and', 'magnetisation', 'in', 'the', 'presuperconducting', 'region', 'may', 'signify', 'the', 'onset', 'of', 'superconducting', 'fluctuations']] | [-0.19845477226464187, 0.2692999850410749, -0.016002527657238877, 0.023694309055366937, -0.03214321885299047, -0.14091699215966988, 0.12725910177892621, 0.3638590482666212, -0.2316784018102814, -0.3423477313097785, -0.03339409772169721, -0.3830235397114473, -0.057333415253635715, 0.10859579607186949, 0.08824136344209203, -0.002500657266115441, -0.08893230418291162, -0.037295661318828076, -0.16456038210513618, -0.20597342199180274, 0.2561373054104693, 0.0042261082240763834, 0.3168174226713531, 0.06457133851397563, 0.0006867988692486987, -0.030470989666440906, 0.13527077212929725, 0.0502641495098086, -0.18340785760494113, -0.04840720485457602, 0.31504226732341684, -0.11907131552203175, 0.13221803138799526, -0.3978006483439137, -0.2051434175385272, 0.008447187711649082, 0.1376627719577621, 0.12625109799178866, -0.07989453536026891, -0.26266170633025465, 0.07631451496854424, -0.13820392537642928, -0.06339487217928227, -0.09009023683474345, 0.015477693039814338, -0.04149729186559425, -0.2731252697570359, 0.15956949948826257, 0.10001413891749347, 0.15386866545852493, -0.11730818641919862, -0.1605308471357121, -0.09623920541694936, 0.013742359234567951, 0.06752127713030752, 0.1260950630338972, 0.14571779250331662, -0.030600420169203595, -0.12227311987868127, 0.2950835396480911, 0.02070978375233929, -0.0038858280681511935, 0.11705447732306579, -0.33051708515404776, -0.09102164239020032, 0.22919207425678478, 0.09422069348066169, 0.08371540710110875, -0.09449794064138961, 0.0576347766111961, 0.053577397687031944, 0.19385330175213955, 0.07130191344767808, 0.06687586850157994, 0.28363912278676734, 0.184826591424644, -0.0179177959148279, 0.12030304580488625, -0.20439806775573421, -0.013302702842937672, -0.19152157949831555, -0.14005315697149318, -0.17068633661221932, 0.06773441246820285, -0.10587118376946926, -0.17498965340063852, 0.36462595222298716, 0.09406787320998881, 0.23885250900159863, -0.12484900597619879, 0.16203779459876172, 0.10114240898504195, 0.05059019189656657, 0.014984913586693651, 0.22795510885086567, 0.2110162480706897, 0.21150027739212793, -0.3510669493335573, 0.1536835554329788, -0.02778790288550012] |
711.461 | Potts models on hierarchical lattices and Renormalization Group dynamics
II: examples and numerical results | We obtain the exact renormalization map and plots of Lee-Yang and Fisher
zeros distributions for Potts models on a number of hierarchical lattices: the
diamond hierarchical lattice, a lattice we call spider web, the Sierpinski
gasket and cylinders. Such models are only examples among the ones we can study
in the general framework of hierarchical lattices, developed in a previous
paper.
| cond-mat.stat-mech math.DS | we obtain the exact renormalization map and plots of leeyang and fisher zeros distributions for potts models on a number of hierarchical lattices the diamond hierarchical lattice a lattice we call spider web the sierpinski gasket and cylinders such models are only examples among the ones we can study in the general framework of hierarchical lattices developed in a previous paper | [['we', 'obtain', 'the', 'exact', 'renormalization', 'map', 'and', 'plots', 'of', 'leeyang', 'and', 'fisher', 'zeros', 'distributions', 'for', 'potts', 'models', 'on', 'a', 'number', 'of', 'hierarchical', 'lattices', 'the', 'diamond', 'hierarchical', 'lattice', 'a', 'lattice', 'we', 'call', 'spider', 'web', 'the', 'sierpinski', 'gasket', 'and', 'cylinders', 'such', 'models', 'are', 'only', 'examples', 'among', 'the', 'ones', 'we', 'can', 'study', 'in', 'the', 'general', 'framework', 'of', 'hierarchical', 'lattices', 'developed', 'in', 'a', 'previous', 'paper']] | [-0.11490029647763146, 0.09873714098004532, -0.08044407339613946, 0.10738928561083606, -0.07931562594031213, -0.0973525332577038, 0.054922867125495656, 0.4247278242455948, -0.2255674490979949, -0.23336468055294673, 0.10489000699513393, -0.3373883685371915, -0.22017353363945835, 0.16078192044476994, -0.0019357175963213209, 0.10214508213408169, 0.04844537717824588, 0.028858678537558337, -0.08905340137234966, -0.2827878096827962, 0.3228225204578341, 0.022344207482748343, 0.3155622445657605, 0.027608183281282422, 0.07780861407976414, 0.018113148345260836, -0.012909872564258145, 0.01992617373461606, -0.2345146777902226, 0.16397561383296233, 0.1584952301886095, 0.042105003321146375, 0.16290081783243623, -0.3789638202087801, -0.2343577622062289, 0.14652469293138043, 0.16737655899105747, 0.14295894670926157, -0.005703189427445292, -0.2638602767933588, 0.06626821930718715, -0.18134565233084998, -0.11522784578751345, -0.1320972331936975, -0.03622531222148997, 0.049220808732063796, -0.2613094914246534, 0.06535382278752132, 0.09302629809444923, 0.09859900924636693, -0.023586714163267047, -0.12525571077932282, -0.0040638865139640745, 0.09007902724332496, -0.08060462298024385, -0.05326431592330947, 0.0858001084158533, -0.11141903861807506, -0.18185905609508884, 0.38705577486057263, -0.018588787494379966, -0.20833524554723598, 0.16907863609004217, -0.11989059442745857, -0.21248118108382724, 0.006216582552087111, 0.19087004786754241, 0.09739522498528488, -0.14414470293177445, 0.14206198164448905, -0.14737698139592273, 0.14391683190144966, 0.06929904462952839, -0.0671560684339235, 0.19575761919688495, 0.16371374174219663, 0.040632711433362764, 0.2086798901455935, -0.04641021711400664, -0.1591886951011743, -0.23987883436264562, -0.1306683364244117, -0.21319263739908328, -0.00491193526225989, -0.17132663123665537, -0.24641211474215094, 0.40855221432007727, 0.14441126328129628, 0.22508173002327075, 0.09042021910827912, 0.19813673735642043, 0.0545836562351858, 0.06724231659633215, 0.05382718303866806, 0.09809649335678483, 0.13534779762696536, 0.0459620233426695, -0.12205169332351108, -0.0497687997097974, 0.17009391511988933] |
711.4611 | Chemical Tuning of Positive and Negative Magnetoresistances, and
Superconductivity in 1222-type Ruthenocuprates | High critical-temperature superconductivity and large (colossal)
magnetoresistances are two important electronic conducting phenomena found in
transition metal oxides. High-Tc materials have applications such as
superconducting magnets for MRI and NMR, and magnetoresistive materials may
find use in magnetic sensors and spintronic devices. Here we report chemical
doping studies of RuSr2(R2-xCex)Cu2O10-d ruthenocuprates which show that a
single oxide system can be tuned between superconductivity at high hole dopings
and varied magnetoresistive properties at low doping levels. A robust variation
of negative magnetoresistance with hole concentration is found in the
RuSr2R1.8-xY0.2CexCu2O10-d series, while RuSr2R1.1Ce0.9Cu2O10-d materials show
an unprecedented crossover from negative to positive magnetoresistance with
rare earth (R) ion radius.
| cond-mat.supr-con cond-mat.str-el | high criticaltemperature superconductivity and large colossal magnetoresistances are two important electronic conducting phenomena found in transition metal oxides hightc materials have applications such as superconducting magnets for mri and nmr and magnetoresistive materials may find use in magnetic sensors and spintronic devices here we report chemical doping studies of rusr2r2xcexcu2o10d ruthenocuprates which show that a single oxide system can be tuned between superconductivity at high hole dopings and varied magnetoresistive properties at low doping levels a robust variation of negative magnetoresistance with hole concentration is found in the rusr2r18xy02cexcu2o10d series while rusr2r11ce09cu2o10d materials show an unprecedented crossover from negative to positive magnetoresistance with rare earth r ion radius | [['high', 'criticaltemperature', 'superconductivity', 'and', 'large', 'colossal', 'magnetoresistances', 'are', 'two', 'important', 'electronic', 'conducting', 'phenomena', 'found', 'in', 'transition', 'metal', 'oxides', 'hightc', 'materials', 'have', 'applications', 'such', 'as', 'superconducting', 'magnets', 'for', 'mri', 'and', 'nmr', 'and', 'magnetoresistive', 'materials', 'may', 'find', 'use', 'in', 'magnetic', 'sensors', 'and', 'spintronic', 'devices', 'here', 'we', 'report', 'chemical', 'doping', 'studies', 'of', 'rusr2r2xcexcu2o10d', 'ruthenocuprates', 'which', 'show', 'that', 'a', 'single', 'oxide', 'system', 'can', 'be', 'tuned', 'between', 'superconductivity', 'at', 'high', 'hole', 'dopings', 'and', 'varied', 'magnetoresistive', 'properties', 'at', 'low', 'doping', 'levels', 'a', 'robust', 'variation', 'of', 'negative', 'magnetoresistance', 'with', 'hole', 'concentration', 'is', 'found', 'in', 'the', 'rusr2r18xy02cexcu2o10d', 'series', 'while', 'rusr2r11ce09cu2o10d', 'materials', 'show', 'an', 'unprecedented', 'crossover', 'from', 'negative', 'to', 'positive', 'magnetoresistance', 'with', 'rare', 'earth', 'r', 'ion', 'radius']] | [-0.1715304315888456, 0.2299376133886177, 0.03291666400397108, 0.014599879898707428, -0.03373146744478228, -0.24888897048575537, 0.0714625538016359, 0.41028347089886663, -0.23849748390036568, -0.33042225122806573, -0.011654115786465505, -0.39264904594137556, -0.15315216704316081, 0.2402078514031711, 0.031130474016425155, 0.015664279939872877, -0.05848383621002237, -0.09398928425895671, -0.14093683497603274, -0.19000443148071922, 0.23582379695560252, 0.038501154110279115, 0.328964506475521, 0.11718854322763426, 0.0546125151616122, -0.10458360459611174, 0.2108472253994218, 0.07228274391520591, -0.14900406407105038, -0.004233501128674972, 0.3799045517863262, -0.14033458842230695, 0.23688744583106155, -0.441513289910342, -0.255002161283933, -0.02236427843038525, 0.14231005253802453, 0.1534011481163491, -0.19338549826116788, -0.23591979967341536, 0.08788415166061549, -0.1309463986217798, -0.06616283348481548, -0.15519746816938831, 0.02369183189945207, 0.00934010936069258, -0.2626878037782652, 0.08412330787451494, -0.0031320230192726567, 0.16329469942443428, -0.13010042362272672, -0.2077527329713727, -0.033030034663776554, 0.025820706509763286, 0.060423364326180444, 0.02497313389266353, 0.2279224432738764, -0.08665967022977947, -0.10655556096296226, 0.29989365030612264, -0.015143221883945877, 0.0002283125938404174, 0.20229692318742828, -0.2832464788109064, -0.0795298181740301, 0.12452101581951693, 0.16941726257403691, 0.11461270087886424, -0.14014130312772025, 0.06363899651000143, 0.07968491162062578, 0.19350438747139942, 0.02832285015666414, 0.13995883282096613, 0.3401729988200324, 0.23871562725731305, 0.0333888833610607, 0.1132078202276413, -0.10825600208980697, 0.09764953857243416, -0.13625098959808904, -0.22126039181658555, -0.23001246942384612, 0.09160847407100456, -0.10523383851049446, -0.2556828381138898, 0.32246194969685305, 0.17747605860432877, 0.1902000251270476, -0.14668377291832474, 0.18701742925193338, 0.03986181685412746, 0.10894153378903866, 0.010016735691931986, 0.23236845730848255, 0.15224977817741178, 0.2186860480678401, -0.28246405888570564, 0.15509719789205562, -0.06704701147086564] |
711.4612 | Fractal Threshold Behavior in Vacuum Gravitational Collapse | We present the numerical evidence for fractal threshold behavior in the five
dimensional vacuum Einstein equations satisfying the cohomogeneity-two triaxial
Bianchi type-IX ansatz. In other words, we show that a flip of the wings of a
butterfly may influence the process of the black hole formation.
| gr-qc | we present the numerical evidence for fractal threshold behavior in the five dimensional vacuum einstein equations satisfying the cohomogeneitytwo triaxial bianchi typeix ansatz in other words we show that a flip of the wings of a butterfly may influence the process of the black hole formation | [['we', 'present', 'the', 'numerical', 'evidence', 'for', 'fractal', 'threshold', 'behavior', 'in', 'the', 'five', 'dimensional', 'vacuum', 'einstein', 'equations', 'satisfying', 'the', 'cohomogeneitytwo', 'triaxial', 'bianchi', 'typeix', 'ansatz', 'in', 'other', 'words', 'we', 'show', 'that', 'a', 'flip', 'of', 'the', 'wings', 'of', 'a', 'butterfly', 'may', 'influence', 'the', 'process', 'of', 'the', 'black', 'hole', 'formation']] | [-0.19104566032309894, 0.09679742096720831, -0.09006325811471629, 0.10810961307719402, -0.10131165300212476, -0.12471198098248114, -0.017907725469938116, 0.31879121935723914, -0.1794956690105407, -0.22308914224698168, 0.061590285561776356, -0.2724984093447742, -0.17118911484114663, 0.14772996592016527, 0.012058993072613426, 0.023352233834726656, 0.027896530875612214, 0.025656948635435623, -0.10836427447730271, -0.24797731091308853, 0.3988667498545154, 0.028738332800655728, 0.27289494750616344, -0.01925226912388335, 0.08797449950614701, -0.059878389249839216, 0.010597264029733513, 0.07691588655681066, -0.19922042515147198, 0.02223417150747517, 0.15738512406571079, 0.10881106269991268, 0.2051655950591616, -0.4038630655926207, -0.21738578595787936, 0.062302584709275674, 0.1848605715305261, 0.19162679354295784, -0.09631111444500477, -0.292271224518671, 0.06275118192981767, -0.2161520923204396, -0.22684872294168756, -0.03123137526942984, 0.062203828336509025, -0.010688621353398523, -0.214877261228495, 0.15141766763332745, 0.08713242833745545, 0.0023667984439626985, -0.1319430135494179, -0.05715490914071384, -0.029504175297915936, 0.06070516053992121, 0.05701023155415896, -0.06885148643556496, 0.1318397864334933, -0.14062199083807925, -0.1227846004716728, 0.3823333666862353, -0.08076493373221677, -0.19473749812206495, 0.11880406320257031, -0.21372607759321513, -0.15502740345571353, 0.1114653121356083, 0.10406514637820098, 0.12634171245862608, -0.10377969237489869, 0.1063820484800406, -0.049692518887636455, 0.13547203348413028, 0.11463569118843778, -0.006311025662833582, 0.26007212779444194, 0.09287607436999679, -0.005251908067451871, 0.18056526091886158, -0.08242400921881199, -0.1329653466363316, -0.32991532395776035, -0.14770558853026317, -0.08439704347604318, 0.13203430959053905, -0.17970888781280298, -0.2255485858363302, 0.37057970889398584, 0.10923425573476023, 0.1494262082826184, 0.024290661874186735, 0.20588595509205176, 0.06467671048544023, 0.019898387006200526, 0.10456677038303536, 0.2863549725987706, 0.09673082518755742, 0.11098717809047388, -0.27393013070863875, -0.002906773330481804, 0.10921650695735993] |
711.4613 | Spreadsheet Risk - A New Direction for HMRC? | Her Majestys Revenue & Customs (HMRC) was born out of the need to create a UK
tax authority by merging both the Inland Revenue and HM Customs & Excise into
one department. HMRC encounters spreadsheets in tax-payers systems on a very
regular basis as well as being a heavy user of spreadsheets internally. The
approach to spreadsheet risk assessment and spreadsheet audit is by the use of
trained computer auditors and data handlers. This, by definition, limits the
use of our specialist spreadsheet audit tool to such trained staff. In order to
tackle the growing use of spreadsheets, a new way of approaching the problem
has been piloted. The aim is to issue all staff who come across spreadsheets
with a simple to use analysis and risk assessment tool, based on the
departmental software SpACE (Spreadsheet Audit & Compliance Examination).
| cs.CY | her majestys revenue customs hmrc was born out of the need to create a uk tax authority by merging both the inland revenue and hm customs excise into one department hmrc encounters spreadsheets in taxpayers systems on a very regular basis as well as being a heavy user of spreadsheets internally the approach to spreadsheet risk assessment and spreadsheet audit is by the use of trained computer auditors and data handlers this by definition limits the use of our specialist spreadsheet audit tool to such trained staff in order to tackle the growing use of spreadsheets a new way of approaching the problem has been piloted the aim is to issue all staff who come across spreadsheets with a simple to use analysis and risk assessment tool based on the departmental software space spreadsheet audit compliance examination | [['her', 'majestys', 'revenue', 'customs', 'hmrc', 'was', 'born', 'out', 'of', 'the', 'need', 'to', 'create', 'a', 'uk', 'tax', 'authority', 'by', 'merging', 'both', 'the', 'inland', 'revenue', 'and', 'hm', 'customs', 'excise', 'into', 'one', 'department', 'hmrc', 'encounters', 'spreadsheets', 'in', 'taxpayers', 'systems', 'on', 'a', 'very', 'regular', 'basis', 'as', 'well', 'as', 'being', 'a', 'heavy', 'user', 'of', 'spreadsheets', 'internally', 'the', 'approach', 'to', 'spreadsheet', 'risk', 'assessment', 'and', 'spreadsheet', 'audit', 'is', 'by', 'the', 'use', 'of', 'trained', 'computer', 'auditors', 'and', 'data', 'handlers', 'this', 'by', 'definition', 'limits', 'the', 'use', 'of', 'our', 'specialist', 'spreadsheet', 'audit', 'tool', 'to', 'such', 'trained', 'staff', 'in', 'order', 'to', 'tackle', 'the', 'growing', 'use', 'of', 'spreadsheets', 'a', 'new', 'way', 'of', 'approaching', 'the', 'problem', 'has', 'been', 'piloted', 'the', 'aim', 'is', 'to', 'issue', 'all', 'staff', 'who', 'come', 'across', 'spreadsheets', 'with', 'a', 'simple', 'to', 'use', 'analysis', 'and', 'risk', 'assessment', 'tool', 'based', 'on', 'the', 'departmental', 'software', 'space', 'spreadsheet', 'audit', 'compliance', 'examination']] | [-0.028265365677427, -0.002876318296167388, -0.09583311837597458, 0.12688462564169165, -0.16746704637267584, -0.1425596254551088, 0.1620755134017464, 0.3764050852473905, -0.21566222540846566, -0.3614583123169506, 0.14936918444729952, -0.32779436480990654, -0.10196708537874494, 0.19751384633996372, -0.1791326171238976, 0.06756531189147161, 0.08453214466363303, 0.002788741697571171, 0.07145183581386262, -0.31994416482691, 0.30031419066197945, 0.08701777014639854, 0.30928643838738773, 0.03742990559731513, 0.018650919490028173, 0.03057498792047376, -0.05937615252897463, -0.02233229197041347, -0.055707726191465204, 0.17496741287073175, 0.40416411020612314, 0.24010678869845875, 0.45858363108709455, -0.4178813315594374, -0.10204936886456475, 0.04974618461678055, 0.0777445625109379, 0.04025654481904609, -0.011508565418658528, -0.32708597131448786, 0.045862592544768065, -0.31243930331695435, -0.10888707852199563, -0.09894673434631732, -0.029696872430061225, -0.021601501754971584, -0.22914788889378976, -0.04986621753952063, -0.0027174911897893607, 0.15039522926420418, -0.028676973601956087, -0.08029970218802789, -0.05334730852923509, 0.23737504564698286, 0.11826668295022379, 0.02429318370005644, 0.2089333998164468, -0.1035452279811308, -0.1278756397824957, 0.3899064766687911, 0.03945238272305022, -0.13258768959360115, 0.16351900706432565, -0.07057089668893214, -0.13998308828545372, 0.07730209613357907, 0.24156789707520337, 0.029619401294751956, -0.2550808997935991, 0.026967708235120038, 0.010650627426247098, 0.1889935049346523, 0.07154225322779324, -0.08076081444759534, 0.20774843990837516, 0.1932507591889372, 0.04076224611377093, 0.12574004450006715, -0.020831304348643814, -0.08568444177021843, -0.2037790948108061, -0.17602758963050238, -0.1349210820183394, 0.020954974356225568, -0.030391831159046086, -0.20206559177161432, 0.33290586299123937, 0.18861913514747494, 0.05669752702311571, 0.05146982206649376, 0.3464903476467328, 0.02209746141817226, 0.1309952382467437, 0.10010444635608748, 0.142336923691597, -0.024940512102786208, 0.16143305697686858, -0.1294838930271677, 0.17285613375090397, 0.026405080642078572] |
711.4614 | Rotating Spacetimes with Asymptotic Non-Flat Structure and the
Gyromagnetic Ratio | In general relativity, the gyromagnetic ratio for all stationary,
axisymmetric and asymptotically flat Einstein-Maxwell fields is known to be
g=2. In this paper, we continue our previous works of examination this result
for rotating charged spacetimes with asymptotic non-flat structure. We first
consider two instructive examples of these spacetimes: The spacetime of a
Kerr-Newman black hole with a straight cosmic string on its axis of symmetry
and the Kerr-Newman Taub-NUT spacetime. We show that for both spacetimes the
gyromagnetic ratio g=2 independent of their asymptotic structure. We also
extend this result to a general class of metrics which admit separation of
variables for the Hamilton-Jacobi and wave equations. We proceed with the study
of the gyromagnetic ratio in higher dimensions by considering the general
solution for rotating charged black holes in minimal five-dimensional gauged
supergravity. We obtain the analytic expressions for two distinct gyromagnetic
ratios of these black holes that are associated with their two independent
rotation parameters. These expressions reveal the dependence of the
gyromagnetic ratio on both the curvature radius of the AdS background and the
parameters of the black holes: The mass, electric charge and two rotation
parameters. We explore some special cases of interest and show that when the
two rotation parameters are equal to each other and the rotation occurs at the
maximum angular velocity, the gyromagnetic ratio g=4 regardless of the value of
the electric charge. This agrees precisely with our earlier result obtained for
general Kerr-AdS black holes with a test electric charge. We also show that in
the BPS limit the gyromagnetic ratio for a supersymmetric black hole with equal
rotation parameters ranges between 2 and 4.
| hep-th astro-ph gr-qc | in general relativity the gyromagnetic ratio for all stationary axisymmetric and asymptotically flat einsteinmaxwell fields is known to be g2 in this paper we continue our previous works of examination this result for rotating charged spacetimes with asymptotic nonflat structure we first consider two instructive examples of these spacetimes the spacetime of a kerrnewman black hole with a straight cosmic string on its axis of symmetry and the kerrnewman taubnut spacetime we show that for both spacetimes the gyromagnetic ratio g2 independent of their asymptotic structure we also extend this result to a general class of metrics which admit separation of variables for the hamiltonjacobi and wave equations we proceed with the study of the gyromagnetic ratio in higher dimensions by considering the general solution for rotating charged black holes in minimal fivedimensional gauged supergravity we obtain the analytic expressions for two distinct gyromagnetic ratios of these black holes that are associated with their two independent rotation parameters these expressions reveal the dependence of the gyromagnetic ratio on both the curvature radius of the ads background and the parameters of the black holes the mass electric charge and two rotation parameters we explore some special cases of interest and show that when the two rotation parameters are equal to each other and the rotation occurs at the maximum angular velocity the gyromagnetic ratio g4 regardless of the value of the electric charge this agrees precisely with our earlier result obtained for general kerrads black holes with a test electric charge we also show that in the bps limit the gyromagnetic ratio for a supersymmetric black hole with equal rotation parameters ranges between 2 and 4 | [['in', 'general', 'relativity', 'the', 'gyromagnetic', 'ratio', 'for', 'all', 'stationary', 'axisymmetric', 'and', 'asymptotically', 'flat', 'einsteinmaxwell', 'fields', 'is', 'known', 'to', 'be', 'g2', 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711.4615 | Equation of State and Phases of Polarized Unitary Fermi Gas | The equation of state of the partially polarized two component Fermi gas at
zero temperature in the unitary limit is computed by {\it ab initio} auxiliary
field Monte Carlo method. We obtain the critical ratio of the chemical
potentials $\mu_\downarrow/\mu_\uparrow$ at the phase transitions. The value of
$\mu_\downarrow/\mu_\uparrow$ at the transition between the fully paired
superfluid and the partially polarized phase is 0.11 while the critical value
for the phase transition between the partially polarized phase and the fully
polarized normal fluid is -0.59. We also determine the radial boundaries of the
phase transitions of the Fermi gas in the harmonic trap as function of the
total polarization. We find that beyond the critical polarization 0.65, the
fully paired superfluid core disappears in the trapped Fermi gas.
| physics.atom-ph physics.atm-clus | the equation of state of the partially polarized two component fermi gas at zero temperature in the unitary limit is computed by it ab initio auxiliary field monte carlo method we obtain the critical ratio of the chemical potentials mu_downarrowmu_uparrow at the phase transitions the value of mu_downarrowmu_uparrow at the transition between the fully paired superfluid and the partially polarized phase is 011 while the critical value for the phase transition between the partially polarized phase and the fully polarized normal fluid is 059 we also determine the radial boundaries of the phase transitions of the fermi gas in the harmonic trap as function of the total polarization we find that beyond the critical polarization 065 the fully paired superfluid core disappears in the trapped fermi gas | [['the', 'equation', 'of', 'state', 'of', 'the', 'partially', 'polarized', 'two', 'component', 'fermi', 'gas', 'at', 'zero', 'temperature', 'in', 'the', 'unitary', 'limit', 'is', 'computed', 'by', 'it', 'ab', 'initio', 'auxiliary', 'field', 'monte', 'carlo', 'method', 'we', 'obtain', 'the', 'critical', 'ratio', 'of', 'the', 'chemical', 'potentials', 'mu_downarrowmu_uparrow', 'at', 'the', 'phase', 'transitions', 'the', 'value', 'of', 'mu_downarrowmu_uparrow', 'at', 'the', 'transition', 'between', 'the', 'fully', 'paired', 'superfluid', 'and', 'the', 'partially', 'polarized', 'phase', 'is', '011', 'while', 'the', 'critical', 'value', 'for', 'the', 'phase', 'transition', 'between', 'the', 'partially', 'polarized', 'phase', 'and', 'the', 'fully', 'polarized', 'normal', 'fluid', 'is', '059', 'we', 'also', 'determine', 'the', 'radial', 'boundaries', 'of', 'the', 'phase', 'transitions', 'of', 'the', 'fermi', 'gas', 'in', 'the', 'harmonic', 'trap', 'as', 'function', 'of', 'the', 'total', 'polarization', 'we', 'find', 'that', 'beyond', 'the', 'critical', 'polarization', '065', 'the', 'fully', 'paired', 'superfluid', 'core', 'disappears', 'in', 'the', 'trapped', 'fermi', 'gas']] | [-0.1346966468221508, 0.24997972074896097, -0.07522637546434999, 0.02419234414305538, 0.05291215288639069, -0.09337505079805851, 0.11486480688676239, 0.36672771608829496, -0.2783262311592698, -0.26978570148348807, 0.032816711739636954, -0.32332581071555616, -0.038372643735259775, 0.11561694219708443, 0.10008908019494266, 0.04020319663546979, -0.03338400890678167, -0.010157895501703025, -0.13887220232747496, -0.18934860601648687, 0.36784147810935974, 0.016851599358022214, 0.298323097795248, 0.06717317021265626, 0.06941595157980919, -0.01605262517929077, 0.058116977930068967, -0.019496034424751996, -0.12791674030787545, 0.011287796685472131, 0.2271644888073206, -0.034407514162361624, 0.16263065721839667, -0.3868760695308447, -0.19122789673507212, 0.0958480922318995, 0.11442782367765904, 0.1374247659817338, -0.007661477223038673, -0.277725460357964, -0.035492144331336024, -0.14704705529287457, -0.19360974706336856, -0.05859092288464308, 0.0016460952209308743, -0.008074574318248779, -0.2082977028042078, 0.14462307037576103, 0.0215911315176636, 0.06414889630489051, -0.09234041633456945, -0.11588898661732673, -0.08954908448085189, 0.09740983731299639, -0.020991195383947343, 0.12628898841142655, 0.12748550635646097, -0.16037546860799193, 0.0035569092370569704, 0.36112089662998914, -0.1195825951769948, -0.10876891954243183, 0.16210954932495952, -0.25308130641654136, -0.08329097057133913, 0.23202262857556344, 0.1124444023296237, 0.09007547357305884, -0.09976699190586805, 0.047784872117452325, -0.0037507720068097115, 0.17293567312695085, -0.001644515309482813, -0.039093095012009145, 0.29639584817923603, 0.1484844105988741, 0.04905165324732661, 0.15370377039909364, -0.1780133741311729, -0.1159931106455624, -0.2943051493167877, -0.1676209968402982, -0.21502829716261476, -0.01706118490919471, -0.06025281393132172, -0.16985575842857362, 0.3657509128153324, 0.11975265419483185, 0.190929552314803, -0.010867637813091278, 0.3094050571545959, 0.16344807419832796, 0.0015331931412220002, 0.07947416768595576, 0.31756780175119637, 0.18750726941227913, 0.10214840570278466, -0.30787655906006695, 0.03106442029029131, 0.05229299261793494] |
711.4616 | The c2d Spitzer spectroscopic survey of ices around low-mass young
stellar objects II: CO2 | This paper presents Spitzer-IRS spectroscopy of the CO2 15.2 micron bending
mode toward a sample of 50 embedded low-mass stars in nearby star-forming
clouds, taken mostly from the ``Cores to Disks (c2d)'' Legacy program. The
average abundance of solid CO2 relative to water in low-mass protostellar
envelopes is 0.32 +/- 0.02, significantly higher than that found in quiescent
molecular clouds and in massive star forming regions. It is found that a
decomposition of all the observed CO2 bending mode profiles requires a minimum
of five unique components. Roughly 2/3 of the CO2 ice is found in a water-rich
environment, while most of the remaining 1/3 is found in a CO environment.
Ground-based observations of solid CO toward a large subset of the c2d sample
are used to further constrain the CO2:CO component and suggest a model in which
low-density clouds form the CO2:H2O component and higher density clouds form
the CO2:CO ice during and after the freeze-out of gas-phase CO. It is suggested
that the subsequent evolution of the CO2 and CO profiles toward low-mass
protostars, in particular the appearance of the splitting of the CO2 bending
mode due to pure, crystalline CO2, is first caused by distillation of the
CO2:CO component through evaporation of CO due to thermal processing to ~20-30
K in the inner regions of infalling envelopes. The formation of pure CO2 via
segregation from the H2O rich mantle may contribute to the band splitting at
higher levels of thermal processing (>50 K), but is harder to reconcile with
the physical structure of protostellar envelopes around low-luminosity objects.
| astro-ph | this paper presents spitzerirs spectroscopy of the co2 152 micron bending mode toward a sample of 50 embedded lowmass stars in nearby starforming clouds taken mostly from the cores to disks c2d legacy program the average abundance of solid co2 relative to water in lowmass protostellar envelopes is 032 002 significantly higher than that found in quiescent molecular clouds and in massive star forming regions it is found that a decomposition of all the observed co2 bending mode profiles requires a minimum of five unique components roughly 23 of the co2 ice is found in a waterrich environment while most of the remaining 13 is found in a co environment groundbased observations of solid co toward a large subset of the c2d sample are used to further constrain the co2co component and suggest a model in which lowdensity clouds form the co2h2o component and higher density clouds form the co2co ice during and after the freezeout of gasphase co it is suggested that the subsequent evolution of the co2 and co profiles toward lowmass protostars in particular the appearance of the splitting of the co2 bending mode due to pure crystalline co2 is first caused by distillation of the co2co component through evaporation of co due to thermal processing to 2030 k in the inner regions of infalling envelopes the formation of pure co2 via segregation from the h2o rich mantle may contribute to the band splitting at higher levels of thermal processing 50 k but is harder to reconcile with the physical structure of protostellar envelopes around lowluminosity objects | [['this', 'paper', 'presents', 'spitzerirs', 'spectroscopy', 'of', 'the', 'co2', '152', 'micron', 'bending', 'mode', 'toward', 'a', 'sample', 'of', '50', 'embedded', 'lowmass', 'stars', 'in', 'nearby', 'starforming', 'clouds', 'taken', 'mostly', 'from', 'the', 'cores', 'to', 'disks', 'c2d', 'legacy', 'program', 'the', 'average', 'abundance', 'of', 'solid', 'co2', 'relative', 'to', 'water', 'in', 'lowmass', 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711.4617 | Cosmological birefringence induced by neutrino current | We review our recent work on the cosmological birefringence. We propose a new
type of effective interactions in terms of the $CPT$-even dimension-six
Chern-Simons-like term to generate the cosmological birefringence. We use the
neutrino number asymmetry to induce a non-zero rotation polarization angle in
the data of the cosmic microwave background radiation polarization.
| astro-ph | we review our recent work on the cosmological birefringence we propose a new type of effective interactions in terms of the cpteven dimensionsix chernsimonslike term to generate the cosmological birefringence we use the neutrino number asymmetry to induce a nonzero rotation polarization angle in the data of the cosmic microwave background radiation polarization | [['we', 'review', 'our', 'recent', 'work', 'on', 'the', 'cosmological', 'birefringence', 'we', 'propose', 'a', 'new', 'type', 'of', 'effective', 'interactions', 'in', 'terms', 'of', 'the', 'cpteven', 'dimensionsix', 'chernsimonslike', 'term', 'to', 'generate', 'the', 'cosmological', 'birefringence', 'we', 'use', 'the', 'neutrino', 'number', 'asymmetry', 'to', 'induce', 'a', 'nonzero', 'rotation', 'polarization', 'angle', 'in', 'the', 'data', 'of', 'the', 'cosmic', 'microwave', 'background', 'radiation', 'polarization']] | [-0.20004639061132692, 0.18274376395527483, -0.013460187159065719, 0.06341822997157304, -0.1653726782017159, -0.035865825671210605, -0.029165342871872883, 0.32373730859385347, -0.25059577629391877, -0.30358543935811744, -0.01988582965425866, -0.3001529877337645, -0.11743373648737962, 0.13915023499361748, 0.005105839023050273, -0.004979324562229075, -0.050966915270348766, -0.037529251327351576, -0.028947871872487495, -0.24895408402970237, 0.347246595816511, 0.10626079841903499, 0.2732632725130556, 0.04386116829612907, 0.15055706838084348, -0.027455107941520663, -0.10960873268228376, 0.013156059321086362, -0.1530370766446346, 0.08401698285256917, 0.13875259603110124, 0.08671007908107538, 0.1003150703069174, -0.420903446539393, -0.2256471925186661, 0.17036394609735822, 0.07002529257662454, 0.2454112298470342, -0.11697921928079834, -0.27390326433024315, -0.0648357642392786, -0.20580060657482804, -0.12429952632003236, -0.10122497982064367, -0.04519605798260221, -0.07127617364683417, -0.30057666900585284, 0.09753791461336286, -0.028385022004960844, 0.009177711080619187, -0.02065381385772577, -0.06626557959419377, 0.03512824490613673, 0.02392842512542628, 0.133214940158826, 0.06162286493575798, 0.12394295402205074, -0.14834577491274104, -0.12506059409593637, 0.3780316303501714, -0.21223768258449743, -0.17062039539780258, 0.060325385826938555, -0.21219180399587131, -0.14612101211722167, 0.06988613930847144, 0.250472417663572, 0.09444216090553212, -0.14926713483654103, 0.13126021553322953, -0.010253703397399973, 0.17315030745494198, 0.10306270415279663, 0.07408440866911749, 0.3056084759673982, 0.1226313465081577, 0.02816822915777283, 0.07237803837600744, -0.1306396627157294, 0.03171096938960957, -0.3991591492492073, -0.08298963440125282, -0.11409227398030881, 0.12846868077950896, -0.13442046448307218, -0.17701041648375257, 0.45125029938963224, 0.21643677562967223, 0.15244298321107086, 0.016388812910695123, 0.3428179932723068, 0.010501036413874969, 0.08613587662858783, -0.020346416028673358, 0.37269603571731524, 0.1533178034466955, 0.15348618077817108, -0.32651662896826583, 0.004386079227463958, 0.05704948774380785] |
711.4618 | The electromagnetic effects in $K_{e4}$ decay | The final state interaction of pions in $K_{e4}$ decay allows one to obtain
the value of the isospin and angular momentum zero $\pi\pi$ scattering length
$a_0^0$.We take into account the electromagnetic interaction of pions and
isospin symmetry breaking effects caused by different masses of neutral and
charged pions and estimate the impact of these effects on the procedure of
scattering length extraction from $K_{e4}$ decay.
| hep-ph | the final state interaction of pions in k_e4 decay allows one to obtain the value of the isospin and angular momentum zero pipi scattering length a_00we take into account the electromagnetic interaction of pions and isospin symmetry breaking effects caused by different masses of neutral and charged pions and estimate the impact of these effects on the procedure of scattering length extraction from k_e4 decay | [['the', 'final', 'state', 'interaction', 'of', 'pions', 'in', 'k_e4', 'decay', 'allows', 'one', 'to', 'obtain', 'the', 'value', 'of', 'the', 'isospin', 'and', 'angular', 'momentum', 'zero', 'pipi', 'scattering', 'length', 'a_00we', 'take', 'into', 'account', 'the', 'electromagnetic', 'interaction', 'of', 'pions', 'and', 'isospin', 'symmetry', 'breaking', 'effects', 'caused', 'by', 'different', 'masses', 'of', 'neutral', 'and', 'charged', 'pions', 'and', 'estimate', 'the', 'impact', 'of', 'these', 'effects', 'on', 'the', 'procedure', 'of', 'scattering', 'length', 'extraction', 'from', 'k_e4', 'decay']] | [-0.10826719926626538, 0.3169324214104563, -0.11643086465483066, 0.12704532081261277, -0.03508151858113706, -0.12352873185591307, 0.02077797484525945, 0.27138068136991933, -0.21362133302318398, -0.2670932563196402, -0.07263905020408856, -0.3464735650197781, 0.050412400119057565, 0.058523694053292274, 0.17884398726164363, 0.06754531036131084, 0.05694761890481459, 0.009261224331567064, -0.06190153404895682, -0.13357576912312652, 0.3809844259521924, 0.020890625964966603, 0.24821297696871625, 0.198500098704244, 0.05197526376286987, 0.1256573197169928, -0.07368623238289729, -0.0633030612298171, -0.12822682269325014, 0.025900383938278537, 0.14413363107632904, 0.023949662205268396, 0.12358237501757685, -0.40273031195101794, -0.10739321587607265, 0.13112344554974698, 0.1994970881351037, 0.1746718866925221, -0.0353522877649084, -0.3857959637098247, 0.0005862796024302952, -0.1737298084080976, -0.12275618612329708, -0.08578383327403571, 0.02911808177941566, -0.038931604591198266, -0.31809337533195503, 0.12314946714468533, 0.00736225111540989, 0.005162970561286784, -0.10547470195251663, -0.2363340940210037, -0.04476152163260849, 0.11963801436650101, 0.22489575773943216, -0.002279778062074911, 0.19438787419312575, -0.1409697361596045, -0.07850936630711658, 0.39107483146653976, -0.021580549524514936, -0.2085917948425049, 0.077273128204979, -0.16531336944171926, -0.06094671622122405, 0.257497486541979, 0.25204545131418854, 0.045316311487113126, -0.16211685226880945, 0.05699144338359474, 0.030248935087001882, 0.18401627850835212, 0.10615359094299492, 0.13131267788048717, 0.2065470843226649, 0.14951229412690736, -0.04421062016263022, 0.0854838281229604, -0.1296506729668181, -0.06794146043830551, -0.3405752039543586, -0.098304029321298, -0.07948145736008883, 0.12170411726401653, -0.08158049384724109, -0.07462287803355139, 0.38064721040427685, 0.11550136352161644, 0.258794424822554, -0.00028586856205947697, 0.33347859307104954, 0.08475468863616697, 0.11070796162675833, 0.012245655001606792, 0.31028583290753886, 0.19842608876206214, 0.10470590754266595, -0.37940307224562275, 0.032087568659335375, 0.07856258188257925] |
711.4619 | Integral equations and large-time asymptotics for finite-temperature
Ising chain correlation functions | This work concerns the dynamical two-point spin correlation functions of the
transverse Ising quantum chain at finite (non-zero) temperature, in the
universal region near the quantum critical point. They are correlation
functions of twist fields in the massive Majorana fermion quantum field theory.
At finite temperature, these are known to satisfy a set of integrable partial
differential equations, including the sinh-Gordon equation. We apply the
classical inverse scattering method to study them, finding that the ``initial
scattering data'' corresponding to the correlation functions are simply related
to the one-particle finite-temperature form factors calculated recently by one
of the authors. The set of linear integral equations (Gelfand-Levitan-Marchenko
equations) associated to the inverse scattering problem then gives, in
principle, the two-point functions at all space and time separations, and all
temperatures. From them, we evaluate the large-time asymptotic expansion ``near
the light cone'', in the region where the difference between the space and time
separations is of the order of the correlation length.
| math-ph cond-mat.stat-mech hep-th math.MP | this work concerns the dynamical twopoint spin correlation functions of the transverse ising quantum chain at finite nonzero temperature in the universal region near the quantum critical point they are correlation functions of twist fields in the massive majorana fermion quantum field theory at finite temperature these are known to satisfy a set of integrable partial differential equations including the sinhgordon equation we apply the classical inverse scattering method to study them finding that the initial scattering data corresponding to the correlation functions are simply related to the oneparticle finitetemperature form factors calculated recently by one of the authors the set of linear integral equations gelfandlevitanmarchenko equations associated to the inverse scattering problem then gives in principle the twopoint functions at all space and time separations and all temperatures from them we evaluate the largetime asymptotic expansion near the light cone in the region where the difference between the space and time separations is of the order of the correlation length | [['this', 'work', 'concerns', 'the', 'dynamical', 'twopoint', 'spin', 'correlation', 'functions', 'of', 'the', 'transverse', 'ising', 'quantum', 'chain', 'at', 'finite', 'nonzero', 'temperature', 'in', 'the', 'universal', 'region', 'near', 'the', 'quantum', 'critical', 'point', 'they', 'are', 'correlation', 'functions', 'of', 'twist', 'fields', 'in', 'the', 'massive', 'majorana', 'fermion', 'quantum', 'field', 'theory', 'at', 'finite', 'temperature', 'these', 'are', 'known', 'to', 'satisfy', 'a', 'set', 'of', 'integrable', 'partial', 'differential', 'equations', 'including', 'the', 'sinhgordon', 'equation', 'we', 'apply', 'the', 'classical', 'inverse', 'scattering', 'method', 'to', 'study', 'them', 'finding', 'that', 'the', 'initial', 'scattering', 'data', 'corresponding', 'to', 'the', 'correlation', 'functions', 'are', 'simply', 'related', 'to', 'the', 'oneparticle', 'finitetemperature', 'form', 'factors', 'calculated', 'recently', 'by', 'one', 'of', 'the', 'authors', 'the', 'set', 'of', 'linear', 'integral', 'equations', 'gelfandlevitanmarchenko', 'equations', 'associated', 'to', 'the', 'inverse', 'scattering', 'problem', 'then', 'gives', 'in', 'principle', 'the', 'twopoint', 'functions', 'at', 'all', 'space', 'and', 'time', 'separations', 'and', 'all', 'temperatures', 'from', 'them', 'we', 'evaluate', 'the', 'largetime', 'asymptotic', 'expansion', 'near', 'the', 'light', 'cone', 'in', 'the', 'region', 'where', 'the', 'difference', 'between', 'the', 'space', 'and', 'time', 'separations', 'is', 'of', 'the', 'order', 'of', 'the', 'correlation', 'length']] | [-0.1461021666652205, 0.15567394903273848, -0.08484800555309431, 0.11835538410228787, -0.048937133192345036, -0.07748925576047243, -0.0028171500050815645, 0.31965346245662024, -0.29620762428222513, -0.23530538761641207, 0.06707384448964149, -0.3342175858025873, -0.11816726275068934, 0.1742443035570731, 0.07530149102642314, 0.11371870275286043, -0.014560846193919178, 0.056549763689844386, -0.1524081006407541, -0.24612668809778873, 0.3984029269140931, -0.010225874964026329, 0.26372352170740593, 0.0685198766162029, 0.10740655978566024, 0.04051794680645284, -0.00914682039516683, 0.0003576069395636318, -0.15201394279909167, 0.060680499415329846, 0.26025594151954845, 0.026699438894685266, 0.20414257280366577, -0.37984961329132133, -0.1779606148473317, 0.09940945164528993, 0.13460935481176103, 0.12166551161869806, 0.02478989318985006, -0.26281564967903476, 0.05016857422367664, -0.11676258553883859, -0.19676751207548732, -0.053072971922362815, 0.017742652432293116, 0.014728746300285554, -0.24884063191711903, 0.12839377475960284, 0.014175818026787457, 0.030312001515723625, -0.057952691702553946, -0.11008213201584005, -0.007077092317841161, 0.11430427731558541, 0.04549726862055452, 0.03982362245001269, 0.09516498185289295, -0.14378237417389844, -0.08537786568642264, 0.3188827027351977, -0.0509544512927995, -0.20113459615302937, 0.16090590088275372, -0.21303507331353816, -0.09214784868888742, 0.14597705562500665, 0.16057250521330868, 0.11379725415178615, -0.17074365742932657, 0.13865628614276937, -0.03120718380690824, 0.11219610416374505, 0.06819794330780643, 0.048690302742888096, 0.20625226794863524, 0.0698568019553186, 0.03904756290479476, 0.1388895607160069, -0.06606265434327172, -0.16218806521805085, -0.34890454935823906, -0.14027875809357587, -0.1939623396957918, 0.05965400185227764, -0.12101762157187708, -0.1936972497771523, 0.3826399820940627, 0.1426106229012741, 0.17174784511165775, 0.08359469689128006, 0.2473042288242683, 0.21186248098969349, 0.07836702756398584, 0.07018106174510644, 0.2041762949644316, 0.18380472396561148, 0.10108792457023855, -0.2995870695087874, -0.010810779329528165, 0.13149349334771218] |
711.462 | Critical phenomena in gravitational collapse | As first discovered by Choptuik, the black hole threshold in the space of
initial data for general relativity shows both surprising structure and
surprising simplicity. Universality, power-law scaling of the black hole mass,
and scale echoing have given rise to the term "critical phenomena". They are
explained by the existence of exact solutions which are attractors within the
black hole threshold, that is, attractors of codimension one in phase space,
and which are typically self-similar. Critical phenomena give a natural route
from smooth initial data to arbitrarily large curvatures visible from infinity,
and are therefore likely to be relevant for cosmic censorship, quantum gravity,
astrophysics, and our general understanding of the dynamics of general
relativity.
| gr-qc | as first discovered by choptuik the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity universality powerlaw scaling of the black hole mass and scale echoing have given rise to the term critical phenomena they are explained by the existence of exact solutions which are attractors within the black hole threshold that is attractors of codimension one in phase space and which are typically selfsimilar critical phenomena give a natural route from smooth initial data to arbitrarily large curvatures visible from infinity and are therefore likely to be relevant for cosmic censorship quantum gravity astrophysics and our general understanding of the dynamics of general relativity | [['as', 'first', 'discovered', 'by', 'choptuik', 'the', 'black', 'hole', 'threshold', 'in', 'the', 'space', 'of', 'initial', 'data', 'for', 'general', 'relativity', 'shows', 'both', 'surprising', 'structure', 'and', 'surprising', 'simplicity', 'universality', 'powerlaw', 'scaling', 'of', 'the', 'black', 'hole', 'mass', 'and', 'scale', 'echoing', 'have', 'given', 'rise', 'to', 'the', 'term', 'critical', 'phenomena', 'they', 'are', 'explained', 'by', 'the', 'existence', 'of', 'exact', 'solutions', 'which', 'are', 'attractors', 'within', 'the', 'black', 'hole', 'threshold', 'that', 'is', 'attractors', 'of', 'codimension', 'one', 'in', 'phase', 'space', 'and', 'which', 'are', 'typically', 'selfsimilar', 'critical', 'phenomena', 'give', 'a', 'natural', 'route', 'from', 'smooth', 'initial', 'data', 'to', 'arbitrarily', 'large', 'curvatures', 'visible', 'from', 'infinity', 'and', 'are', 'therefore', 'likely', 'to', 'be', 'relevant', 'for', 'cosmic', 'censorship', 'quantum', 'gravity', 'astrophysics', 'and', 'our', 'general', 'understanding', 'of', 'the', 'dynamics', 'of', 'general', 'relativity']] | [-0.14588150772387568, 0.14320532789291895, -0.10159956134309102, 0.16994507842919912, -0.07511884447632601, -0.1751602406228852, 0.01573345365367182, 0.26076048440097466, -0.22239852752536535, -0.3171856699268455, 0.11601449574910752, -0.274273777740967, -0.14543867382909292, 0.21954333039567522, -0.04207999089014028, 0.07369191813404145, 0.011958914736042853, 0.019560917507371177, -0.04443429103019931, -0.21118876568203712, 0.4087497499042555, 0.07479589810169747, 0.24756486686351506, 0.03200977580702823, 0.06321060954360291, -0.07304431709825344, 0.03719885539182502, 0.062228141935117054, -0.16406290783659483, 0.056182551171387665, 0.2576266790487115, 0.12782246537668548, 0.20933622860719206, -0.39901717232297296, -0.25914270958417784, 0.07545787114650011, 0.14739373807754855, 0.151610042553638, -0.08860868257672891, -0.2918623677211935, 0.08069426244043786, -0.13954251361200992, -0.1942914152112992, -0.07699838201312915, 0.08632690376075713, 0.016538915248668712, -0.201534645330748, 0.13850573857679316, 0.07907166701802255, -0.019101899149625196, -0.08105374632565224, -0.03189206216788001, -0.04874184212404425, 0.11535056681655671, 0.13757019708459467, 0.04958436195131229, 0.12391297582172506, -0.123545057928878, -0.10841894426747509, 0.39438089073190224, -0.01850522322499234, -0.14165937372523804, 0.20912058766344158, -0.2476546542799991, -0.13285584363114575, 0.14505244578518298, 0.16362040018176902, 0.1296027752570808, -0.1269231327288055, 0.11111300328250408, 0.008326985707263583, 0.12688373026397565, 0.09880277184243111, 0.07466046663011303, 0.3214890652052734, 0.12955600607168416, 0.04316984165419379, 0.09859046539818139, -0.009655389651332212, -0.13605613384557808, -0.32894778967551563, -0.10969060007381537, -0.15815768973780392, 0.12165179613005855, -0.1816254304472671, -0.17858640565334455, 0.3518763388385591, 0.10973158820086847, 0.21915603478479645, 0.04766272627343626, 0.20290575945830863, 0.07566216479500999, 0.028862870500787445, 0.08571476743192129, 0.3043163146823645, 0.09335163829686201, 0.12023405353133769, -0.16971110679087756, 0.03911765956765284, 0.07775301560759544] |
711.4621 | Extracting the Gamma Ray Signal from Dark Matter Annihilation in the
Galactic Center Region | The GLAST satellite mission will study the gamma ray sky with considerably
greater exposure than its predecessor EGRET. In addition, it will be capable of
measuring the arrival directions of gamma rays with much greater precision.
These features each significantly enhance GLAST's potential for identifying
gamma rays produced in the annihilations of dark matter particles. The combined
use of spectral and angular information, however, is essential if the full
sensitivity of GLAST to dark matter is to be exploited. In this paper, we
discuss the separation of dark matter annihilation products from astrophysical
backgrounds, focusing on the Galactic Center region, and perform a forecast for
such an analysis. We consider both point-like and diffuse astrophysical
backgrounds and model them using a point-spread-function for GLAST. While the
results of our study depend on the specific characteristics of the dark matter
signal and astrophysical backgrounds, we find that in many scenarios it is
possible to successfully identify dark matter annihilation radiation, even in
the presence of significant astrophysical backgrounds.
| astro-ph hep-ph | the glast satellite mission will study the gamma ray sky with considerably greater exposure than its predecessor egret in addition it will be capable of measuring the arrival directions of gamma rays with much greater precision these features each significantly enhance glasts potential for identifying gamma rays produced in the annihilations of dark matter particles the combined use of spectral and angular information however is essential if the full sensitivity of glast to dark matter is to be exploited in this paper we discuss the separation of dark matter annihilation products from astrophysical backgrounds focusing on the galactic center region and perform a forecast for such an analysis we consider both pointlike and diffuse astrophysical backgrounds and model them using a pointspreadfunction for glast while the results of our study depend on the specific characteristics of the dark matter signal and astrophysical backgrounds we find that in many scenarios it is possible to successfully identify dark matter annihilation radiation even in the presence of significant astrophysical backgrounds | [['the', 'glast', 'satellite', 'mission', 'will', 'study', 'the', 'gamma', 'ray', 'sky', 'with', 'considerably', 'greater', 'exposure', 'than', 'its', 'predecessor', 'egret', 'in', 'addition', 'it', 'will', 'be', 'capable', 'of', 'measuring', 'the', 'arrival', 'directions', 'of', 'gamma', 'rays', 'with', 'much', 'greater', 'precision', 'these', 'features', 'each', 'significantly', 'enhance', 'glasts', 'potential', 'for', 'identifying', 'gamma', 'rays', 'produced', 'in', 'the', 'annihilations', 'of', 'dark', 'matter', 'particles', 'the', 'combined', 'use', 'of', 'spectral', 'and', 'angular', 'information', 'however', 'is', 'essential', 'if', 'the', 'full', 'sensitivity', 'of', 'glast', 'to', 'dark', 'matter', 'is', 'to', 'be', 'exploited', 'in', 'this', 'paper', 'we', 'discuss', 'the', 'separation', 'of', 'dark', 'matter', 'annihilation', 'products', 'from', 'astrophysical', 'backgrounds', 'focusing', 'on', 'the', 'galactic', 'center', 'region', 'and', 'perform', 'a', 'forecast', 'for', 'such', 'an', 'analysis', 'we', 'consider', 'both', 'pointlike', 'and', 'diffuse', 'astrophysical', 'backgrounds', 'and', 'model', 'them', 'using', 'a', 'pointspreadfunction', 'for', 'glast', 'while', 'the', 'results', 'of', 'our', 'study', 'depend', 'on', 'the', 'specific', 'characteristics', 'of', 'the', 'dark', 'matter', 'signal', 'and', 'astrophysical', 'backgrounds', 'we', 'find', 'that', 'in', 'many', 'scenarios', 'it', 'is', 'possible', 'to', 'successfully', 'identify', 'dark', 'matter', 'annihilation', 'radiation', 'even', 'in', 'the', 'presence', 'of', 'significant', 'astrophysical', 'backgrounds']] | [-0.07074921993360281, 0.15090544861513064, -0.09308971309041728, 0.1701717032942207, -0.10998817945378804, -0.06835303798842127, -0.003433959555120659, 0.362608753575896, -0.21276633261318156, -0.38129591957448483, 0.039457758935307806, -0.32070560541985454, -0.03459211502330166, 0.2564244643603117, 0.0017778972401855302, -0.0033332644937375928, 0.0564052010914255, 0.0245820510920561, -0.017999775415289212, -0.24125806594819588, 0.2965183747949045, 0.16479312869424592, 0.21385338929381423, 0.04588531776649242, 0.07104557182801564, 0.0015586721153182542, -0.12627340462560693, -0.04571907018718427, -0.12452369553064349, 0.07204886233645999, 0.2405522975047303, 0.1481195064177904, 0.11860506442475863, -0.3932460478456791, -0.2715588686241863, 0.2336516043723388, 0.1519998686923506, 0.03949607807890551, -0.08782270510714434, -0.35054496899358706, 0.05843835805464692, -0.19330738406296552, -0.12228848750585924, -0.027550903701050553, -0.006119805008931431, 0.015557077109972629, -0.18778424679920702, 0.03958872305006235, -0.0036746147461653783, -0.05895248024785769, -0.0877158020600024, -0.10033487973729159, 0.01144540844579969, 0.06285448875947448, 0.10473962065841846, 0.008104630608619106, 0.2153358703937861, -0.21438235576364942, -0.08181158154728839, 0.44457366785960284, -0.07015663150303737, -0.14851383289355718, 0.18532825510078918, -0.20072205414964878, -0.18706276110222864, 0.18214568640746756, 0.18820767224526513, 0.07462081521704882, -0.13868387610077143, 0.11177159963882512, 0.015005541653065625, 0.16614725757780635, 0.06989628670759454, 0.05731633882607127, 0.3080572297874682, 0.1859903018587007, 0.11503996969441867, 0.060723565658275594, -0.2102896225665526, 0.024118499819560164, -0.31428335987109535, -0.14520099680887502, -0.12452921847405726, 0.032550111141133896, -0.08155118942797158, -0.075209945794418, 0.3731561382496339, 0.1558232724062386, 0.15966118273820554, -0.026406864864120125, 0.32486074223618083, 0.03898428923458776, -0.0012113939159309971, 0.05860116201436181, 0.33718553460955974, 0.08293082431784111, 0.09710577087237048, -0.19631568891342038, 0.010504491641158294, -0.06932671189665081] |
711.4622 | Occurrence of Metal-free Galaxies in the Early Universe | The character of the first galaxies at redshifts z > 10 strongly depends on
their level of pre-enrichment, which is in turn determined by the rate of
primordial star formation prior to their assembly. In order for the first
galaxies to remain metal-free, star formation in minihaloes must be highly
suppressed, most likely by H2-dissociating Lyman-Werner (LW) radiation. We show
that the build-up of such a strong LW background is hindered by two effects.
Firstly, the level of the LW background is self-regulated, being produced by
the Population III (Pop III) star formation which it, in turn, suppresses.
Secondly, the high opacity to LW photons which is built up in the relic H II
regions left by the first stars acts to diminish the global LW background.
Accounting for a self-regulated LW background, we estimate a lower limit for
the rate of Pop III star formation in minihaloes at z > 15. Further, we
simulate the formation of a 'first galaxy' with virial temperature T > 10^4 K
and total mass > 10^8 M_Sun at z > 10, and find that complete suppression of
previous Pop III star formation is unlikely, with stars of > 100 M_Sun (Pop
III.1) and > 10 M_Sun (Pop III.2) likely forming. Finally, we discuss the
implications of these results for the nature of the first galaxies, which may
be observed by future missions such as the James Webb Space Telescope.
| astro-ph | the character of the first galaxies at redshifts z 10 strongly depends on their level of preenrichment which is in turn determined by the rate of primordial star formation prior to their assembly in order for the first galaxies to remain metalfree star formation in minihaloes must be highly suppressed most likely by h2dissociating lymanwerner lw radiation we show that the buildup of such a strong lw background is hindered by two effects firstly the level of the lw background is selfregulated being produced by the population iii pop iii star formation which it in turn suppresses secondly the high opacity to lw photons which is built up in the relic h ii regions left by the first stars acts to diminish the global lw background accounting for a selfregulated lw background we estimate a lower limit for the rate of pop iii star formation in minihaloes at z 15 further we simulate the formation of a first galaxy with virial temperature t 104 k and total mass 108 m_sun at z 10 and find that complete suppression of previous pop iii star formation is unlikely with stars of 100 m_sun pop iii1 and 10 m_sun pop iii2 likely forming finally we discuss the implications of these results for the nature of the first galaxies which may be observed by future missions such as the james webb space telescope | [['the', 'character', 'of', 'the', 'first', 'galaxies', 'at', 'redshifts', 'z', '10', 'strongly', 'depends', 'on', 'their', 'level', 'of', 'preenrichment', 'which', 'is', 'in', 'turn', 'determined', 'by', 'the', 'rate', 'of', 'primordial', 'star', 'formation', 'prior', 'to', 'their', 'assembly', 'in', 'order', 'for', 'the', 'first', 'galaxies', 'to', 'remain', 'metalfree', 'star', 'formation', 'in', 'minihaloes', 'must', 'be', 'highly', 'suppressed', 'most', 'likely', 'by', 'h2dissociating', 'lymanwerner', 'lw', 'radiation', 'we', 'show', 'that', 'the', 'buildup', 'of', 'such', 'a', 'strong', 'lw', 'background', 'is', 'hindered', 'by', 'two', 'effects', 'firstly', 'the', 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711.4623 | Complete Set of Commuting Symmetry Operators for the Klein-Gordon
Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes | We consider the Klein-Gordon equation in generalized higher-dimensional
Kerr-NUT-(A)dS spacetime without imposing any restrictions on the functional
parameters characterizing the metric. We establish commutativity of the
second-order operators constructed from the Killing tensors found in
arXiv:hep-th/0612029 and show that these operators, along with the first-order
operators originating from the Killing vectors, form a complete set of
commuting symmetry operators (i.e., integrals of motion) for the Klein-Gordon
equation. Moreover, we demonstrate that the separated solutions of the
Klein-Gordon equation obtained in arXiv:hep-th/0611245 are joint eigenfunctions
for all of these operators. We also present explicit form of the zero mode for
the Klein-Gordon equation with zero mass.
In the semiclassical approximation we find that the separated solutions of
the Hamilton-Jacobi equation for geodesic motion are also solutions for a set
of Hamilton-Jacobi-type equations which correspond to the quadratic conserved
quantities arising from the above Killing tensors.
| hep-th gr-qc math-ph math.MP | we consider the kleingordon equation in generalized higherdimensional kerrnutads spacetime without imposing any restrictions on the functional parameters characterizing the metric we establish commutativity of the secondorder operators constructed from the killing tensors found in arxivhepth0612029 and show that these operators along with the firstorder operators originating from the killing vectors form a complete set of commuting symmetry operators ie integrals of motion for the kleingordon equation moreover we demonstrate that the separated solutions of the kleingordon equation obtained in arxivhepth0611245 are joint eigenfunctions for all of these operators we also present explicit form of the zero mode for the kleingordon equation with zero mass in the semiclassical approximation we find that the separated solutions of the hamiltonjacobi equation for geodesic motion are also solutions for a set of hamiltonjacobitype equations which correspond to the quadratic conserved quantities arising from the above killing tensors | [['we', 'consider', 'the', 'kleingordon', 'equation', 'in', 'generalized', 'higherdimensional', 'kerrnutads', 'spacetime', 'without', 'imposing', 'any', 'restrictions', 'on', 'the', 'functional', 'parameters', 'characterizing', 'the', 'metric', 'we', 'establish', 'commutativity', 'of', 'the', 'secondorder', 'operators', 'constructed', 'from', 'the', 'killing', 'tensors', 'found', 'in', 'arxivhepth0612029', 'and', 'show', 'that', 'these', 'operators', 'along', 'with', 'the', 'firstorder', 'operators', 'originating', 'from', 'the', 'killing', 'vectors', 'form', 'a', 'complete', 'set', 'of', 'commuting', 'symmetry', 'operators', 'ie', 'integrals', 'of', 'motion', 'for', 'the', 'kleingordon', 'equation', 'moreover', 'we', 'demonstrate', 'that', 'the', 'separated', 'solutions', 'of', 'the', 'kleingordon', 'equation', 'obtained', 'in', 'arxivhepth0611245', 'are', 'joint', 'eigenfunctions', 'for', 'all', 'of', 'these', 'operators', 'we', 'also', 'present', 'explicit', 'form', 'of', 'the', 'zero', 'mode', 'for', 'the', 'kleingordon', 'equation', 'with', 'zero', 'mass', 'in', 'the', 'semiclassical', 'approximation', 'we', 'find', 'that', 'the', 'separated', 'solutions', 'of', 'the', 'hamiltonjacobi', 'equation', 'for', 'geodesic', 'motion', 'are', 'also', 'solutions', 'for', 'a', 'set', 'of', 'hamiltonjacobitype', 'equations', 'which', 'correspond', 'to', 'the', 'quadratic', 'conserved', 'quantities', 'arising', 'from', 'the', 'above', 'killing', 'tensors']] | [-0.17914822178197579, 0.11394077044104974, -0.05383579019116054, 0.06621852074257872, -0.10744652355214397, -0.09902885445093565, -0.0392268747238862, 0.2633223065411226, -0.2683950638116508, -0.2185842842453907, 0.0840434417151928, -0.34716886838465194, -0.1514270227225366, 0.1526094654732397, 0.013503411005113378, 0.0753502655302135, 0.058404589914651195, 0.10803305544942932, -0.1559970914828919, -0.1920806767950228, 0.4453728246751805, -0.07391970006922836, 0.22614009585231543, -0.0011013640700773873, 0.18614749112625567, -0.003546096551769846, 0.009855417351067906, 0.007046251636470708, -0.13634825568611555, 0.08520931411455844, 0.21158374498047355, 0.10525323239706037, 0.1960067259934079, -0.4534157403206951, -0.19589405314927974, 0.12421252416171344, 0.16116223438695387, 0.12882361054325372, -0.03212353063363608, -0.34132800192873874, 0.05120504665447556, -0.10558715189846468, -0.20513828678555052, -0.11981450407241116, 0.0037516805763080927, 0.04103544185226652, -0.2572107385043842, 0.1562093771583381, 0.0800744142157065, 0.012402730521706628, -0.2152626368997645, -0.1078060960063455, -0.06225556451302599, 0.05772968358688162, 0.06566427849498774, -0.04096858414680317, 0.0384274559156169, -0.09516429660750002, -0.11039690992427649, 0.34451124881407325, -0.08749397003016447, -0.34820117156716507, 0.08553033591982659, -0.17448549613382824, -0.11516107078379309, 0.08036504705882513, 0.15628920901488041, 0.19026882852375193, -0.20234560109609345, 0.15879907408478328, -0.024124738514344667, 0.08046362160878832, 0.11556378332242159, 0.041139668663701334, 0.14070748644684192, 0.016302074587733393, 0.09548366925692264, 0.13400199777171226, 0.02511193232223864, -0.14198479975547484, -0.40793116327742457, -0.1561371604387294, -0.13728975179473193, 0.10638879938788948, -0.16362394902084113, -0.20242677655228428, 0.38362866939491475, 0.14161207666128717, 0.1600699541618077, 0.08788651210652716, 0.1966065634369955, 0.21568687531369915, 0.08045387569762452, 0.1109513394127954, 0.24008559099805188, 0.16445458447724634, 0.08732876833856211, -0.22456829568484313, -0.06706628364733827, 0.16604663795975208] |
711.4624 | W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes
L(1/2,0) | In this paper the W-algebra W(2,2) and its representation theory are studied.
It is proved that a simple vertex operator algebra generated by two weight 2
vectors is either a vertex operator algebra associated to a highest irreducible
W(2,2)-module or a tensor product of two irreducible Virasoro vertex operator
algebras. Furthermore, any rational, C_2-cofinite simple vertex operator
algebra whose weight 1 subspace is zero and weight 2 subspace is 2-dimensional,
and with central charge c=1 is isomorphic to L(1/2,0)\otimes L(1/2,0).
| math.QA math.RT | in this paper the walgebra w22 and its representation theory are studied it is proved that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex operator algebra associated to a highest irreducible w22module or a tensor product of two irreducible virasoro vertex operator algebras furthermore any rational c_2cofinite simple vertex operator algebra whose weight 1 subspace is zero and weight 2 subspace is 2dimensional and with central charge c1 is isomorphic to l120otimes l120 | [['in', 'this', 'paper', 'the', 'walgebra', 'w22', 'and', 'its', 'representation', 'theory', 'are', 'studied', 'it', 'is', 'proved', 'that', 'a', 'simple', 'vertex', 'operator', 'algebra', 'generated', 'by', 'two', 'weight', '2', 'vectors', 'is', 'either', 'a', 'vertex', 'operator', 'algebra', 'associated', 'to', 'a', 'highest', 'irreducible', 'w22module', 'or', 'a', 'tensor', 'product', 'of', 'two', 'irreducible', 'virasoro', 'vertex', 'operator', 'algebras', 'furthermore', 'any', 'rational', 'c_2cofinite', 'simple', 'vertex', 'operator', 'algebra', 'whose', 'weight', '1', 'subspace', 'is', 'zero', 'and', 'weight', '2', 'subspace', 'is', '2dimensional', 'and', 'with', 'central', 'charge', 'c1', 'is', 'isomorphic', 'to', 'l120otimes', 'l120']] | [-0.1718553168257364, 0.13637166076268142, -0.02694773891319831, 0.006726682306273291, -0.1632917958478897, -0.2300805282929781, -0.07563345597382301, 0.3874020495523627, -0.38160456485377675, -0.07725100552376646, 0.13805802887490687, -0.3313655085766163, -0.15704430979139244, 0.0539503841726587, -0.08903476966019624, -0.027970891315281056, 0.11870133066072296, 0.20547270638724932, -0.10905015393076703, -0.2178054111979854, 0.4336333276811414, -0.011424117760422329, 0.19435931810548004, 0.05003526650566178, 0.18947107563368404, 0.048161516503359265, -0.00675831505885491, -0.031094933594338212, -0.09209329027800824, 0.11027565914898729, 0.33175078043952966, 0.07534785981839284, 0.23150980196302184, -0.3474818660806005, -0.07536651290809879, 0.22765354280813765, 0.1633726475843921, -0.01235867513773533, -0.003444168695774025, -0.16056166268670216, 0.13512250108238405, -0.29020957314433193, -0.14715744712604925, -0.041614331770688295, 0.09834546028660276, -0.10816550884658518, -0.29710582443154776, 0.016180573270106927, 0.10791073331179526, 0.09299545551244265, -0.09008794664912738, -0.16107637271022376, -0.15115699247242168, 0.029741088743321598, -0.1269589995850439, 0.17640859682041293, 0.10978284597587891, -0.11323344289289358, -0.17763231345452368, 0.29323085988513553, 0.02656167935436735, -0.30577411910948843, 0.11302192889464398, -0.19499113228625786, -0.13172063203409123, 0.08383674544688219, -0.0022805946795508647, 0.09895452596724798, -0.11386800322156304, 0.23525664700233997, -0.1101493341012452, 0.018044437995204367, 0.06617808721076028, -0.003302888132822819, 0.10376636950800625, 0.028348636598541185, 0.11816272463721152, 0.11484530901846786, 0.09601551604693015, 0.00021640248357867583, -0.3467439283640721, -0.12771379564387295, -0.20787248247040388, 0.1173175125478361, -0.13823579237979197, -0.1714583490139399, 0.48601581980116093, 0.04658992703144367, 0.21762571227065144, 0.08632679508091548, 0.2067211233318234, 0.19473766037621176, 0.1540601944195656, 0.10516944053905228, 0.058598696698960014, 0.2643051754760866, -0.07465828546824363, -0.1381836112182683, -0.08010429512889972, 0.2979790673901637] |
711.4625 | Toward classfication of rational vertex operator algebras with central
charges less than 1 | The rational and C_2-cofinite simple vertex operator algebras whose effective
central charges and the central charges c are equal and less than 1 are
classified. Such a vertex operator algebra is zero if c<0 and C if c=0. If c>0,
it is an extension of discrete Virasoro vertex operator algebra L(c_{p,q},0) by
its irreducible modules. It is also proved that for any rational and
C_2-cofinite simple vertex operator algebra whose effective central charge and
central charge are equal, the vertex operator subalgebra generated by the
Virasoro vector is simple.
| math.QA math.RT | the rational and c_2cofinite simple vertex operator algebras whose effective central charges and the central charges c are equal and less than 1 are classified such a vertex operator algebra is zero if c0 and c if c0 if c0 it is an extension of discrete virasoro vertex operator algebra lc_pq0 by its irreducible modules it is also proved that for any rational and c_2cofinite simple vertex operator algebra whose effective central charge and central charge are equal the vertex operator subalgebra generated by the virasoro vector is simple | [['the', 'rational', 'and', 'c_2cofinite', 'simple', 'vertex', 'operator', 'algebras', 'whose', 'effective', 'central', 'charges', 'and', 'the', 'central', 'charges', 'c', 'are', 'equal', 'and', 'less', 'than', '1', 'are', 'classified', 'such', 'a', 'vertex', 'operator', 'algebra', 'is', 'zero', 'if', 'c0', 'and', 'c', 'if', 'c0', 'if', 'c0', 'it', 'is', 'an', 'extension', 'of', 'discrete', 'virasoro', 'vertex', 'operator', 'algebra', 'lc_pq0', 'by', 'its', 'irreducible', 'modules', 'it', 'is', 'also', 'proved', 'that', 'for', 'any', 'rational', 'and', 'c_2cofinite', 'simple', 'vertex', 'operator', 'algebra', 'whose', 'effective', 'central', 'charge', 'and', 'central', 'charge', 'are', 'equal', 'the', 'vertex', 'operator', 'subalgebra', 'generated', 'by', 'the', 'virasoro', 'vector', 'is', 'simple']] | [-0.13765739744783126, 0.14772671985652283, -0.00691162746145644, 0.051065830476793715, -0.1343877008396455, -0.28116146624299954, -0.04882084402329796, 0.35744993414052506, -0.32151100028898905, -0.11639973402700642, 0.13589608322680843, -0.3558347131210295, -0.11150001371491024, 0.08679029237563637, -0.09033329244332643, -0.03940517939058323, 0.0629289100496945, 0.2049395877825604, -0.050653672267799266, -0.2024266476933421, 0.38711979279336944, -0.021716555826556447, 0.1719827094903766, 0.09690302253743126, 0.1670391354021955, 0.04466993529984558, 0.001248986190396615, -0.015845226494341412, -0.09522987053696852, 0.05794827648523179, 0.27762509176549927, 0.06598309730179608, 0.21088612616189162, -0.37125007510820235, -0.05025512693365189, 0.2221116350476884, 0.17787792957493698, -0.015960586733523418, -0.03961775337599895, -0.17662773077609017, 0.18147347506601363, -0.26219390241683205, -0.16953988932073116, -0.062208471904424106, 0.20105980508114127, -0.05216698427896269, -0.28491711061955854, 0.03039978441831243, 0.11022023579359731, 0.09642372295175763, -0.03537634371340656, -0.16720754614057529, -0.19101543256758965, 0.07314822172470899, -0.09229824790434743, 0.15259583389640533, 0.1739203883176246, -0.1031020053778775, -0.14689079250357198, 0.3090517480900003, 0.03751508911872489, -0.2995784272154031, 0.09897557993165472, -0.1934334694683044, -0.09799327808749778, 0.06584032958331094, -0.04257372255564074, 0.15171463321894407, -0.12613076957958666, 0.25089656613603106, -0.09877819031349976, 0.019362263884183696, 0.06291062266841023, 0.0024769744486548007, 0.1810636525889012, 0.012393114241686735, 0.14211157099767166, 0.0674620742740279, 0.11330953289474234, -0.021992893529717217, -0.4236242300407453, -0.10079407859170302, -0.18532146367413754, 0.10395502356219698, -0.1819375208621998, -0.1475041734626178, 0.43166500473902986, 0.06995035614818335, 0.170993552045812, 0.0711110820887949, 0.2029545811766928, 0.22968041836495764, 0.19492202305859377, 0.16268225324297833, 0.09843959647167305, 0.24032560243292458, -0.03198012427045879, -0.17224033272147857, -0.06064011523267254, 0.2750886928247796] |
711.4626 | Constraints on jet-driven disk accretion in Sagittarius A* | We revisit theoretical and observational constraints on geometrically-thin
disk accretion in Sagittarius A* (Sgr A*). We show that the combined effects of
mass outflows and electron energization in the hot part of the accretion flow
can deflate the inflowing gas from a geometrically-thick structure. This allows
the gas to cool and even thermalize on an inflow timescale. As a result, a
compact, relatively cool disk may form at small radii. We show that magnetic
coupling between the relativistic disk and a steady-state jet results in a disk
that is less luminous than a standard relativistic disk accreting at the same
rate. This relaxes the observational constraints on thin-disk accretion in Sgr
A* (and by implication, other Low-Luminosity Active Galactic Nulcei, LLAGN). We
find typical cold gas accretion rates of a few * 10^{-9} solar masses / yr. We
also find that the predicted modified disk emission is compatible with existing
near-infrared (NIR) observations of Sgr A* in its quiescent state provided that
the disk inclination angle is > 87 degrees and that the jet extracts more than
75% of the accretion power.
| astro-ph | we revisit theoretical and observational constraints on geometricallythin disk accretion in sagittarius a sgr a we show that the combined effects of mass outflows and electron energization in the hot part of the accretion flow can deflate the inflowing gas from a geometricallythick structure this allows the gas to cool and even thermalize on an inflow timescale as a result a compact relatively cool disk may form at small radii we show that magnetic coupling between the relativistic disk and a steadystate jet results in a disk that is less luminous than a standard relativistic disk accreting at the same rate this relaxes the observational constraints on thindisk accretion in sgr a and by implication other lowluminosity active galactic nulcei llagn we find typical cold gas accretion rates of a few 109 solar masses yr we also find that the predicted modified disk emission is compatible with existing nearinfrared nir observations of sgr a in its quiescent state provided that the disk inclination angle is 87 degrees and that the jet extracts more than 75 of the accretion power | [['we', 'revisit', 'theoretical', 'and', 'observational', 'constraints', 'on', 'geometricallythin', 'disk', 'accretion', 'in', 'sagittarius', 'a', 'sgr', 'a', 'we', 'show', 'that', 'the', 'combined', 'effects', 'of', 'mass', 'outflows', 'and', 'electron', 'energization', 'in', 'the', 'hot', 'part', 'of', 'the', 'accretion', 'flow', 'can', 'deflate', 'the', 'inflowing', 'gas', 'from', 'a', 'geometricallythick', 'structure', 'this', 'allows', 'the', 'gas', 'to', 'cool', 'and', 'even', 'thermalize', 'on', 'an', 'inflow', 'timescale', 'as', 'a', 'result', 'a', 'compact', 'relatively', 'cool', 'disk', 'may', 'form', 'at', 'small', 'radii', 'we', 'show', 'that', 'magnetic', 'coupling', 'between', 'the', 'relativistic', 'disk', 'and', 'a', 'steadystate', 'jet', 'results', 'in', 'a', 'disk', 'that', 'is', 'less', 'luminous', 'than', 'a', 'standard', 'relativistic', 'disk', 'accreting', 'at', 'the', 'same', 'rate', 'this', 'relaxes', 'the', 'observational', 'constraints', 'on', 'thindisk', 'accretion', 'in', 'sgr', 'a', 'and', 'by', 'implication', 'other', 'lowluminosity', 'active', 'galactic', 'nulcei', 'llagn', 'we', 'find', 'typical', 'cold', 'gas', 'accretion', 'rates', 'of', 'a', 'few', '109', 'solar', 'masses', 'yr', 'we', 'also', 'find', 'that', 'the', 'predicted', 'modified', 'disk', 'emission', 'is', 'compatible', 'with', 'existing', 'nearinfrared', 'nir', 'observations', 'of', 'sgr', 'a', 'in', 'its', 'quiescent', 'state', 'provided', 'that', 'the', 'disk', 'inclination', 'angle', 'is', '87', 'degrees', 'and', 'that', 'the', 'jet', 'extracts', 'more', 'than', '75', 'of', 'the', 'accretion', 'power']] | [-0.10246918375081948, 0.13437096202908558, -0.059815773614839224, 0.10517603534913433, -0.12204871425572573, -0.07031437462677112, 0.03211680490241041, 0.3930255517525745, -0.17576071843923477, -0.2967927326118636, 0.06279072724740555, -0.27040511403329937, 0.035368050846239826, 0.23513254390558502, -0.04223354878505755, -0.028608542938619915, 0.06673142373080501, -0.08781679659778399, -0.0776568034158894, -0.19224893757576395, 0.26500940227127645, 0.08550337939575482, 0.08066826707780299, 0.0020211291907543546, 0.07281239647313617, -0.1521253802478732, -0.0019457712377097165, -0.02839368966858039, -0.164774668364955, 0.03974131227136077, 0.1798573176983451, 0.10726775240095521, 0.23510255642742797, -0.42798878920651723, -0.2402004124806001, -0.004962610749245276, 0.1740982076951062, 0.03227894708744428, -0.10043234275263183, -0.1944868370427572, 0.06079067462228573, -0.26369241966860724, -0.15935410764408456, 0.06575044218890286, 0.05270068976620024, -0.017755727015508947, -0.2638945751957559, 0.14109746049523872, 0.0923435901104619, 0.03569416488583587, -0.13118175253778266, -0.022389159697432364, -0.08749894584068672, -0.00575821691067115, 0.07930211343585378, 0.10286330388796129, 0.28596661037705273, -0.13991259618170476, -0.021257133725402732, 0.40785989239079395, -0.11179517887959785, -0.02622815961897206, 0.2525366726906949, -0.26972924822972816, -0.17181168635783906, 0.16302547951129506, 0.1698951267734107, 0.1347779468083859, -0.10496952843864113, -0.013352169908368646, -0.11158950994670223, 0.2127029930523942, 0.024955819623827348, 0.052475314569042135, 0.3721055893039101, 0.12366599165647274, 0.03906509196032571, 0.11890567393791653, -0.22820873468920713, -0.07808383060566913, -0.23407723150592757, -0.08458213231348422, -0.12722545089801837, 0.13175970787742292, -0.14740699585321165, -0.07445451173489244, 0.32529458500447506, 0.09322855650876345, 0.27399891002752474, 0.04184374774366701, 0.36411788388092614, 0.06869779630064483, 0.08362868747751102, 0.23347416150074954, 0.35607716242332804, 0.16253925343122586, 0.0970353997165986, -0.2766087953893342, 0.0708336586144418, 0.0025468009231047013] |
711.4627 | On Commutativity and Finiteness in Groups | The second author introduced notions of weak permutability and commutativity
between groups and proved the finiteness of a group generated by two weakly
permutable finite groups. Two groups H,K weakly commute provided there exists a
bijection f: H -> K which fixes the identity element and such that h commutes
with its image h^f for all h in H. The present paper gives support to
conjectures about the nilpotency of groups generated by two weakly commuting
finite abelian groups H,K.
| math.GR | the second author introduced notions of weak permutability and commutativity between groups and proved the finiteness of a group generated by two weakly permutable finite groups two groups hk weakly commute provided there exists a bijection f h k which fixes the identity element and such that h commutes with its image hf for all h in h the present paper gives support to conjectures about the nilpotency of groups generated by two weakly commuting finite abelian groups hk | [['the', 'second', 'author', 'introduced', 'notions', 'of', 'weak', 'permutability', 'and', 'commutativity', 'between', 'groups', 'and', 'proved', 'the', 'finiteness', 'of', 'a', 'group', 'generated', 'by', 'two', 'weakly', 'permutable', 'finite', 'groups', 'two', 'groups', 'hk', 'weakly', 'commute', 'provided', 'there', 'exists', 'a', 'bijection', 'f', 'h', 'k', 'which', 'fixes', 'the', 'identity', 'element', 'and', 'such', 'that', 'h', 'commutes', 'with', 'its', 'image', 'hf', 'for', 'all', 'h', 'in', 'h', 'the', 'present', 'paper', 'gives', 'support', 'to', 'conjectures', 'about', 'the', 'nilpotency', 'of', 'groups', 'generated', 'by', 'two', 'weakly', 'commuting', 'finite', 'abelian', 'groups', 'hk']] | [-0.2075584403274557, 0.18719139988710987, -0.023692549005905283, 0.04650106351628098, -0.07966449990562058, -0.1971475939455006, 0.028992261960100428, 0.3776970820242091, -0.3128225403967537, -0.22124827877158607, 0.06314892941773456, -0.2901462764019453, -0.06497874585292715, 0.14864740077453323, -0.07525318022227928, -0.07754222507061012, 0.04972812489170251, 0.12602530709833284, -0.058520929699268524, -0.302511201275489, 0.3987048688945891, -0.09952385717733245, 0.21411021339376987, 0.03178531214406219, 0.128347048983921, 0.016443854728359963, -0.11248686709706494, 0.01948119831990592, -0.12743481531891385, 0.1244281227287801, 0.2838823330010983, 0.08326827331528633, 0.26729481489857354, -0.3077792230569109, -0.135930288553568, 0.1930348527370186, 0.08891780792070181, -0.058030346745943436, -0.08604475393850074, -0.29795843082232565, 0.13612958016404528, -0.17009738757263257, -0.1071396981766801, -0.04030561961139305, 0.09275152807748771, -0.0015053249353283568, -0.2572544929394616, 0.015646331082982353, 0.1702446728661845, 0.16981197851179522, 0.00050917796383883, -0.09691123205201724, -0.10332151487045273, 0.13482243613681838, 0.009137794900025371, -0.015356011482403625, 0.04569998741314947, -0.047936251970550306, -0.09603965916093203, 0.39107571587060824, -0.11137900593443008, -0.16156945093623304, 0.202718338457561, -0.1746183171797591, -0.225703717845999, 0.119087910126376, -0.013379340024688576, 0.13397236566407064, -0.055568202728438015, 0.20938190527015685, -0.15926150338064077, 0.0933493838963818, 0.08908380988890989, -0.020765513205264187, 0.044155127731375865, -0.026680073677267456, 0.14157627932020003, 0.11500187741616104, 0.07839301787316799, 0.04833551614745697, -0.37835196073202393, -0.17619659731612553, -0.10842552215385522, 0.05599968677645997, -0.07042955340691577, -0.1752651226205775, 0.3732807500452935, 0.07668058717140008, 0.14840577513309597, 0.08718340477428717, 0.15444179747660372, 0.044271807371980595, 0.0529533047405885, 0.08136934590749914, 0.07888067971702807, 0.3007489273713642, -0.07685067097927574, -0.19059885416181369, -0.031080938109397133, 0.2778888778242318] |
711.4628 | An Attempt to Remove Quadratic Divergences in the Standard Theory | The quadratic divergences caused by Yukawa interactions in the standard
theory of elementary particle physics is shown to be removed by introducing
finite-mass complex-ghost regulator fields. In this modification of the
standard theory, its manifest covariance, renormalizability, gauge invariance
and unitarity are retained, and no new observable particles are introduced.
| hep-th | the quadratic divergences caused by yukawa interactions in the standard theory of elementary particle physics is shown to be removed by introducing finitemass complexghost regulator fields in this modification of the standard theory its manifest covariance renormalizability gauge invariance and unitarity are retained and no new observable particles are introduced | [['the', 'quadratic', 'divergences', 'caused', 'by', 'yukawa', 'interactions', 'in', 'the', 'standard', 'theory', 'of', 'elementary', 'particle', 'physics', 'is', 'shown', 'to', 'be', 'removed', 'by', 'introducing', 'finitemass', 'complexghost', 'regulator', 'fields', 'in', 'this', 'modification', 'of', 'the', 'standard', 'theory', 'its', 'manifest', 'covariance', 'renormalizability', 'gauge', 'invariance', 'and', 'unitarity', 'are', 'retained', 'and', 'no', 'new', 'observable', 'particles', 'are', 'introduced']] | [-0.12223056979163797, 0.27274960942794474, -0.11556335366259766, 0.16170627464141166, -0.0764908798381078, -0.16894610841017293, -0.03779406023059725, 0.2688972294634702, -0.2722346690502398, -0.32318467985154414, 0.025828033890004973, -0.2594129654521845, -0.16228739316789054, 0.0494323853065963, -0.06435201489081492, 0.06365923689825613, -0.013342246983428391, -0.003613175178060726, -0.06478652886438127, -0.2655466011896425, 0.29562659877143344, 0.1142215114253174, 0.1902449904437348, 0.08867509744833318, 0.10151443304969188, 0.0683836635221176, -0.0903979829721609, 0.021309485659003258, -0.045217914454524916, 0.07254959478717754, 0.15830831841698714, 0.0516739476624192, 0.18840362080277837, -0.4305567055256391, -0.20708423826311315, 0.09098078586085111, 0.10318610801988719, 0.11581186961610707, -0.09881991991887287, -0.31726642675241645, 0.04394992972410531, -0.1731806239683409, -0.18871062998992524, -0.12743443489188747, -0.08791954466616925, -0.117991853733452, -0.26695940315685407, 0.13396798289970172, 0.0553785755550869, 0.08597888738601184, 0.03881710990835741, -0.08662679608987302, -0.03370851612820917, 0.02758851044868328, 0.17857241922780415, 0.009189694179031921, 0.1915330679288932, -0.18708494717578347, -0.12837581466693354, 0.43716699272698284, -0.06973360214686515, -0.25484393445812925, 0.16486483945378236, -0.13449447806354384, -0.13886756999228073, 0.125256734263456, 0.10513549575544133, 0.06658453629257119, -0.23159279814940326, 0.27502947427779056, 0.018899097506489073, 0.10840566156013888, 0.11648730844335288, 0.06467346965610905, 0.19949044541892957, 0.032488824343498875, -0.007178093259203799, 0.07833049051720192, 0.05779801381808915, -0.16172025744252058, -0.4264104307382082, -0.08152738367492447, -0.1646253175900451, 0.034961800459221155, -0.10159524715427139, -0.13761248549966767, 0.3499485331454447, 0.13990438239154768, 0.13438538997909244, 0.014599466981480316, 0.24230632914363273, 0.18110209981891878, 0.1910421583440383, 0.0018352622223295728, 0.3323520258430164, 0.18385423561177996, 0.0056913297775448585, -0.23044250452206755, -0.02060024598043184, 0.13857210219400573] |
711.4629 | Effective Interactions in Soft Materials | Soft materials, such as colloidal suspensions, polymer solutions, and
biological systems, are typically multicomponent mixtures of macromolecules and
simpler components (e.g., microions, monomers, solvent) that can assemble into
complex structures spanning broad length and time scales. Many characteristic
traits of soft matter, e.g., mechanical fragility, sensitivity to external
influence, and tunable thermal and optical properties, emerge from a mingling
of microscopic and mesoscopic constituents. Large asymmetries in size and
charge between macromolecules and microscopic components often make impractical
the explicit modeling of all degrees of freedom over physically significant
length and time scales. The complexity often can be reduced, however, by
pre-averaging (coarse-graining) the degrees of freedom of some microscopic
components, thus mapping the real system onto a simpler model of fewer
components, but governed by effective interparticle interactions. This chapter
reviews the statistical mechanical foundations of effective interactions in
soft materials and discusses illustrative applications to charged colloids,
polyelectrolytes, and colloid-polymer mixtures
| cond-mat.soft cond-mat.stat-mech | soft materials such as colloidal suspensions polymer solutions and biological systems are typically multicomponent mixtures of macromolecules and simpler components eg microions monomers solvent that can assemble into complex structures spanning broad length and time scales many characteristic traits of soft matter eg mechanical fragility sensitivity to external influence and tunable thermal and optical properties emerge from a mingling of microscopic and mesoscopic constituents large asymmetries in size and charge between macromolecules and microscopic components often make impractical the explicit modeling of all degrees of freedom over physically significant length and time scales the complexity often can be reduced however by preaveraging coarsegraining the degrees of freedom of some microscopic components thus mapping the real system onto a simpler model of fewer components but governed by effective interparticle interactions this chapter reviews the statistical mechanical foundations of effective interactions in soft materials and discusses illustrative applications to charged colloids polyelectrolytes and colloidpolymer mixtures | [['soft', 'materials', 'such', 'as', 'colloidal', 'suspensions', 'polymer', 'solutions', 'and', 'biological', 'systems', 'are', 'typically', 'multicomponent', 'mixtures', 'of', 'macromolecules', 'and', 'simpler', 'components', 'eg', 'microions', 'monomers', 'solvent', 'that', 'can', 'assemble', 'into', 'complex', 'structures', 'spanning', 'broad', 'length', 'and', 'time', 'scales', 'many', 'characteristic', 'traits', 'of', 'soft', 'matter', 'eg', 'mechanical', 'fragility', 'sensitivity', 'to', 'external', 'influence', 'and', 'tunable', 'thermal', 'and', 'optical', 'properties', 'emerge', 'from', 'a', 'mingling', 'of', 'microscopic', 'and', 'mesoscopic', 'constituents', 'large', 'asymmetries', 'in', 'size', 'and', 'charge', 'between', 'macromolecules', 'and', 'microscopic', 'components', 'often', 'make', 'impractical', 'the', 'explicit', 'modeling', 'of', 'all', 'degrees', 'of', 'freedom', 'over', 'physically', 'significant', 'length', 'and', 'time', 'scales', 'the', 'complexity', 'often', 'can', 'be', 'reduced', 'however', 'by', 'preaveraging', 'coarsegraining', 'the', 'degrees', 'of', 'freedom', 'of', 'some', 'microscopic', 'components', 'thus', 'mapping', 'the', 'real', 'system', 'onto', 'a', 'simpler', 'model', 'of', 'fewer', 'components', 'but', 'governed', 'by', 'effective', 'interparticle', 'interactions', 'this', 'chapter', 'reviews', 'the', 'statistical', 'mechanical', 'foundations', 'of', 'effective', 'interactions', 'in', 'soft', 'materials', 'and', 'discusses', 'illustrative', 'applications', 'to', 'charged', 'colloids', 'polyelectrolytes', 'and', 'colloidpolymer', 'mixtures']] | [-0.12990502265625095, 0.24231517154380286, -0.061001325415992666, 0.03523277016708897, -0.046839248422704836, -0.1661331033530204, -0.016063645883389797, 0.3666286483701122, -0.28648352521658554, -0.32938874786180494, 0.027731797225179003, -0.26883629062764447, -0.1643228917352022, 0.13303417959219874, 0.013405232633598834, 0.053641065442015565, 0.019903916238323098, -0.08971284575741983, -0.02031248483629162, -0.15782100689523904, 0.2232817040992239, 0.03776327947056607, 0.24785844182693645, 0.0741512214176749, 0.1397161209958875, 0.04220027280021704, 0.006332416314092514, 0.07611785237933968, -0.12977292371086055, 0.11864918185777865, 0.280746513683545, 0.015372732285437738, 0.20542704525072814, -0.4902692942950556, -0.27564872513941835, 0.09986845826068402, 0.17561314361055816, 0.11998818936377861, 0.016096270646238208, -0.2341537976907076, -0.011802354662090932, -0.1512619175651037, -0.12308148260375387, -0.14625637520006612, 0.08164281981972683, 0.08980382503528074, -0.19365146551373122, 0.12012421109179022, 0.04841915912019383, 0.1159367473538671, -0.06563042989307034, -0.1552733336046865, -0.007835454546454313, 0.10454684467741142, 0.06676405611812554, -0.07747892348561436, 0.28773376884821217, -0.20153453037308186, -0.05751070433210483, 0.41380203006740074, 0.024243798321358076, -0.21656067524791547, 0.32054200753459317, -0.06294690304141688, -0.11315698736028648, 0.19888916521909109, 0.19131842164604582, 0.08895489236793334, -0.2029451298907301, 0.05545554266159582, 0.023069795211899634, 0.25991018262759197, 0.07359243816953447, 0.09211757760433677, 0.2650296956202702, 0.19641457407392168, -0.03482402146906488, 0.1464325162409008, 0.0013361384343098554, -0.14082569313100785, -0.216802811254303, -0.16553456480859927, -0.19378215080742897, 0.06534592647841764, -0.16107406119226653, -0.1828297752730769, 0.3714531023563866, 0.1141495056477939, 0.17226398838255064, 0.03267600117588269, 0.2683988543423383, -0.02581520998730986, 0.060568876899962654, -0.010731291297768047, 0.19760932211973245, 0.13827988030205138, 0.07091410412057915, -0.20740984915908867, 0.04946111693463631, 0.00671021560341806] |
711.463 | The No-Boundary Measure of the Universe | We consider the no-boundary proposal for homogeneous isotropic closed
universes with a cosmological constant and a scalar field with a quadratic
potential. In the semi-classical limit, it predicts classical behavior at late
times if the initial scalar field is more than a certain minimum. If the
classical late time histories are extended back, they may be singular or bounce
at a finite radius. The no-boundary proposal provides a probability measure on
the classical solutions which selects inflationary histories but is heavily
biased towards small amounts of inflation. This would not be compatible with
observations. However we argue that the probability for a homogeneous universe
should be multiplied by exp(3N) where N is the number of e-foldings of slow
roll inflation to obtain the probability for what we observe in our past light
cone. This volume weighting is similar to that in eternal inflation. In a
landscape potential, it would predict that the universe would have a large
amount of inflation and that it would start in an approximately de Sitter state
near a saddle-point of the potential. The universe would then have always been
in the semi-classical regime.
| hep-th astro-ph gr-qc | we consider the noboundary proposal for homogeneous isotropic closed universes with a cosmological constant and a scalar field with a quadratic potential in the semiclassical limit it predicts classical behavior at late times if the initial scalar field is more than a certain minimum if the classical late time histories are extended back they may be singular or bounce at a finite radius the noboundary proposal provides a probability measure on the classical solutions which selects inflationary histories but is heavily biased towards small amounts of inflation this would not be compatible with observations however we argue that the probability for a homogeneous universe should be multiplied by exp3n where n is the number of efoldings of slow roll inflation to obtain the probability for what we observe in our past light cone this volume weighting is similar to that in eternal inflation in a landscape potential it would predict that the universe would have a large amount of inflation and that it would start in an approximately de sitter state near a saddlepoint of the potential the universe would then have always been in the semiclassical regime | [['we', 'consider', 'the', 'noboundary', 'proposal', 'for', 'homogeneous', 'isotropic', 'closed', 'universes', 'with', 'a', 'cosmological', 'constant', 'and', 'a', 'scalar', 'field', 'with', 'a', 'quadratic', 'potential', 'in', 'the', 'semiclassical', 'limit', 'it', 'predicts', 'classical', 'behavior', 'at', 'late', 'times', 'if', 'the', 'initial', 'scalar', 'field', 'is', 'more', 'than', 'a', 'certain', 'minimum', 'if', 'the', 'classical', 'late', 'time', 'histories', 'are', 'extended', 'back', 'they', 'may', 'be', 'singular', 'or', 'bounce', 'at', 'a', 'finite', 'radius', 'the', 'noboundary', 'proposal', 'provides', 'a', 'probability', 'measure', 'on', 'the', 'classical', 'solutions', 'which', 'selects', 'inflationary', 'histories', 'but', 'is', 'heavily', 'biased', 'towards', 'small', 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711.4631 | On Secure Quantum Key Distribution Using Continuous Variables of Single
Photons | We analyse the distribution of secure keys using quantum cryptography based
on the continuous variable degree of freedom of entangled photon pairs. We
derive the information capacity of a scheme based on the spatial entanglement
of photons from a realistic source, and show that the standard measures of
security known for quadrature-based continuous variable quantum cryptography
(CV-QKD) are inadequate. A specific simple eavesdropping attack is analysed to
illuminate how secret information may be distilled well beyond the bounds of
the usual CV-QKD measures.
| quant-ph | we analyse the distribution of secure keys using quantum cryptography based on the continuous variable degree of freedom of entangled photon pairs we derive the information capacity of a scheme based on the spatial entanglement of photons from a realistic source and show that the standard measures of security known for quadraturebased continuous variable quantum cryptography cvqkd are inadequate a specific simple eavesdropping attack is analysed to illuminate how secret information may be distilled well beyond the bounds of the usual cvqkd measures | [['we', 'analyse', 'the', 'distribution', 'of', 'secure', 'keys', 'using', 'quantum', 'cryptography', 'based', 'on', 'the', 'continuous', 'variable', 'degree', 'of', 'freedom', 'of', 'entangled', 'photon', 'pairs', 'we', 'derive', 'the', 'information', 'capacity', 'of', 'a', 'scheme', 'based', 'on', 'the', 'spatial', 'entanglement', 'of', 'photons', 'from', 'a', 'realistic', 'source', 'and', 'show', 'that', 'the', 'standard', 'measures', 'of', 'security', 'known', 'for', 'quadraturebased', 'continuous', 'variable', 'quantum', 'cryptography', 'cvqkd', 'are', 'inadequate', 'a', 'specific', 'simple', 'eavesdropping', 'attack', 'is', 'analysed', 'to', 'illuminate', 'how', 'secret', 'information', 'may', 'be', 'distilled', 'well', 'beyond', 'the', 'bounds', 'of', 'the', 'usual', 'cvqkd', 'measures']] | [-0.15144813226827655, 0.0908912553463176, -0.145163004684924, 0.1155482459300007, -0.011764529217258993, -0.2639882221918957, 0.10958948283433824, 0.33238748815583896, -0.25767684877984764, -0.24549560556300434, 0.09731128523462867, -0.25984347068581237, -0.07828865357652216, 0.22187794067515396, -0.15814836804631605, 0.14584163678824028, -0.026954034096505267, 0.046009943786873876, -0.043898269664552285, -0.2623418533882822, 0.35972993450340285, 0.0428440895083035, 0.33966434881629715, 0.05987152800031276, 0.11498397546652031, 0.06224649526874523, -0.07758240058389773, -0.09586387630327638, -0.12119138222624315, 0.1441666815760938, 0.2533636249304491, 0.19415626609669887, 0.23555027310882348, -0.3672259046404387, -0.26426833567310526, 0.10696734347891242, 0.10482216887849283, 0.15851137954012368, -0.04171122729789511, -0.323540666185499, 0.026185201890542204, -0.20283032438022797, -0.09707104546825839, -0.07370548290256636, -0.06720040717824216, 0.06323686707203827, -0.2872404369822961, 0.05232091140316193, 0.027049650220727795, 0.06517219341483461, 0.06917880347885012, -0.0294971738279943, -0.0028064163368060648, 0.1428680606354701, -0.04762036853584921, -0.01886108237969498, 0.17116122916116414, -0.12416274988103702, -0.1846401179602078, 0.354518991210554, -0.046853237835892354, -0.21640920123163926, 0.10812913379996611, -0.08661139714363289, -0.12121239176625948, 0.07864619230470025, 0.19674601041184492, 0.11513379155602081, -0.15713812709303507, 0.010358236157138977, -0.06098488037171493, 0.25758388894329587, 0.038207650369773784, 0.22804972592808576, 0.1814857699448265, 0.0893973590783685, 0.05027366286502725, 0.18879278247519565, -0.1074740457326084, -0.19344633658338023, -0.3028068678027176, -0.18574607613530145, -0.2825245293844716, 0.06936217534898623, -0.1282620414057452, -0.10234078673045544, 0.3851636475926817, 0.17306745946929786, 0.11020686669297607, 0.03455952403461, 0.36689653755894985, 0.07100051235272942, 0.05583604305129813, 0.12578580517837978, 0.2271931201937687, 0.13984110469211747, 0.04016075403351022, -0.15102140595631516, 0.11674999009750514, -0.012084883278662181] |
711.4632 | Collisional properties of weakly bound heteronuclear dimers | We consider collisional properties of weakly bound heteronuclear molecules
(dimers) formed in a two-species mixture of atoms with a large mass difference.
We focus on dimers containing light fermionic atoms as they manifest
collisional stability due to an effective dimer-dimer repulsion originating
from the exchange of the light atoms. In order to solve the dimer-dimer
scattering problem we develop a theoretical approach, which provides a
physically transparent and quantitative description of this four-atom system in
terms of three- and two-body observables. We calculate the elastic scattering
amplitude and the rates of inelastic processes such as the trimer formation and
the relaxation of dimers into deeply bound molecular states. Irrespective of
whether the heavy atoms are bosons or fermions, the inelastic rate can be
significantly lower than the rate of elastic collisions. Moreover, the
measurement of the inelastic rate which is a four-body observable, can be an
efficient and precise tool for determining three-body observables such as the
three-body parameter, positions of Efimov states and their lifetimes.
| cond-mat.stat-mech | we consider collisional properties of weakly bound heteronuclear molecules dimers formed in a twospecies mixture of atoms with a large mass difference we focus on dimers containing light fermionic atoms as they manifest collisional stability due to an effective dimerdimer repulsion originating from the exchange of the light atoms in order to solve the dimerdimer scattering problem we develop a theoretical approach which provides a physically transparent and quantitative description of this fouratom system in terms of three and twobody observables we calculate the elastic scattering amplitude and the rates of inelastic processes such as the trimer formation and the relaxation of dimers into deeply bound molecular states irrespective of whether the heavy atoms are bosons or fermions the inelastic rate can be significantly lower than the rate of elastic collisions moreover the measurement of the inelastic rate which is a fourbody observable can be an efficient and precise tool for determining threebody observables such as the threebody parameter positions of efimov states and their lifetimes | [['we', 'consider', 'collisional', 'properties', 'of', 'weakly', 'bound', 'heteronuclear', 'molecules', 'dimers', 'formed', 'in', 'a', 'twospecies', 'mixture', 'of', 'atoms', 'with', 'a', 'large', 'mass', 'difference', 'we', 'focus', 'on', 'dimers', 'containing', 'light', 'fermionic', 'atoms', 'as', 'they', 'manifest', 'collisional', 'stability', 'due', 'to', 'an', 'effective', 'dimerdimer', 'repulsion', 'originating', 'from', 'the', 'exchange', 'of', 'the', 'light', 'atoms', 'in', 'order', 'to', 'solve', 'the', 'dimerdimer', 'scattering', 'problem', 'we', 'develop', 'a', 'theoretical', 'approach', 'which', 'provides', 'a', 'physically', 'transparent', 'and', 'quantitative', 'description', 'of', 'this', 'fouratom', 'system', 'in', 'terms', 'of', 'three', 'and', 'twobody', 'observables', 'we', 'calculate', 'the', 'elastic', 'scattering', 'amplitude', 'and', 'the', 'rates', 'of', 'inelastic', 'processes', 'such', 'as', 'the', 'trimer', 'formation', 'and', 'the', 'relaxation', 'of', 'dimers', 'into', 'deeply', 'bound', 'molecular', 'states', 'irrespective', 'of', 'whether', 'the', 'heavy', 'atoms', 'are', 'bosons', 'or', 'fermions', 'the', 'inelastic', 'rate', 'can', 'be', 'significantly', 'lower', 'than', 'the', 'rate', 'of', 'elastic', 'collisions', 'moreover', 'the', 'measurement', 'of', 'the', 'inelastic', 'rate', 'which', 'is', 'a', 'fourbody', 'observable', 'can', 'be', 'an', 'efficient', 'and', 'precise', 'tool', 'for', 'determining', 'threebody', 'observables', 'such', 'as', 'the', 'threebody', 'parameter', 'positions', 'of', 'efimov', 'states', 'and', 'their', 'lifetimes']] | [-0.1258457824307303, 0.24793215328143736, -0.07231817533912878, 0.09618821939599352, 0.029141527733832866, -0.12709222046983798, 0.06508942496547677, 0.32421453962528923, -0.2555100481118446, -0.2631498124416783, -0.015808594078582948, -0.31737601543574717, -0.07050758105820516, 0.13438539174020694, 0.09612125947128937, 0.05963893795697333, 0.07589711633411216, 0.01715497685181179, -0.04119443311285878, -0.225297114973136, 0.3071798419647188, 0.05315142963011468, 0.19804789680785623, 0.16095979226730675, 0.03089857611423695, 0.06998752987612578, 0.0691635558446196, -0.06160836220236428, -0.1663981968612713, 0.13137886582411606, 0.23870353439261055, 0.02532232661327594, 0.15639691947431988, -0.4605639711785388, -0.1493812199648335, 0.10929874575371484, 0.21156067763425757, 0.19834752238765135, -0.022941272261171007, -0.27789634101637023, -0.06997953112803804, -0.178770757315355, -0.14041900877975466, -0.10105362885592348, 0.03706909045408738, 0.023071753124829876, -0.28964228133940284, 0.13761330510300993, 0.05015143165533173, 0.024896559166632234, -0.11008891189037485, -0.12355647024527439, -0.0029797636727095546, 0.045655089395446144, 0.027596963014795882, -0.02714330964463662, 0.17436092009723006, -0.1646528373947872, -0.09416365912408535, 0.43094636869605585, -0.08200859164523525, -0.1604251368925065, 0.24348065708707795, -0.12469169711806329, -0.07633564533688218, 0.16205371331973337, 0.21614187632137574, 0.12382768948439014, -0.18999707955777287, 0.05995287293223215, -0.06013473232854607, 0.17954967756396586, 0.08379715723714914, 0.12294743314360168, 0.21478499840462514, 0.18831072431282106, 0.009860429015145245, 0.14187510039921042, -0.09997148223989924, -0.12378552829543779, -0.2534284625112651, -0.149062919527915, -0.17184133918854935, 0.04010983753713768, -0.04061471466876213, -0.15704891050559838, 0.3222331236571029, 0.06137527608739055, 0.25542418277788775, -0.005075061692384981, 0.26622734896569367, 0.1419899294535764, 0.04872215071627141, 0.021018180855920155, 0.2870587454575776, 0.16339287140507655, -0.0047573276195136535, -0.31634680145975563, 0.06262154438173825, 0.056906321697520565] |
711.4633 | Dynamics of periodic anticrossings: Decoherence, pointer states and
hysteresis curves | We consider a strongly driven two-level (spin) system, with a periodic
external field that induces a sequence of avoided level crossings. The spin
system interacts with a bosonic reservoir which leads to decoherence. A
Markovian dynamical equation is introduced without relying on the rotating wave
approximation in the system-external field interaction. We show that the time
evolution of the two-level system is directed towards an incoherent sum of
periodic Floquet states regardless of the initial state and even the type of
the coupling to the environment. Analyzing the time scale of approaching these
time-dependent pointer states, information can be deduced concerning the nature
and strength of the system-environment coupling. The inversion as a function of
the external field is usually multi-valued, and the form of these hysteresis
curves is qualitatively different for low and high temperatures. For moderate
temperatures we found that the series of Landau-Zener-St\"{u}ckelberg-type
transitions still can be used for state preparation, regardless of the
decoherence rate. Possible applications include quantum information processing
and molecular nanomagnets.
| quant-ph cond-mat.mes-hall | we consider a strongly driven twolevel spin system with a periodic external field that induces a sequence of avoided level crossings the spin system interacts with a bosonic reservoir which leads to decoherence a markovian dynamical equation is introduced without relying on the rotating wave approximation in the systemexternal field interaction we show that the time evolution of the twolevel system is directed towards an incoherent sum of periodic floquet states regardless of the initial state and even the type of the coupling to the environment analyzing the time scale of approaching these timedependent pointer states information can be deduced concerning the nature and strength of the systemenvironment coupling the inversion as a function of the external field is usually multivalued and the form of these hysteresis curves is qualitatively different for low and high temperatures for moderate temperatures we found that the series of landauzenerstuckelbergtype transitions still can be used for state preparation regardless of the decoherence rate possible applications include quantum information processing and molecular nanomagnets | [['we', 'consider', 'a', 'strongly', 'driven', 'twolevel', 'spin', 'system', 'with', 'a', 'periodic', 'external', 'field', 'that', 'induces', 'a', 'sequence', 'of', 'avoided', 'level', 'crossings', 'the', 'spin', 'system', 'interacts', 'with', 'a', 'bosonic', 'reservoir', 'which', 'leads', 'to', 'decoherence', 'a', 'markovian', 'dynamical', 'equation', 'is', 'introduced', 'without', 'relying', 'on', 'the', 'rotating', 'wave', 'approximation', 'in', 'the', 'systemexternal', 'field', 'interaction', 'we', 'show', 'that', 'the', 'time', 'evolution', 'of', 'the', 'twolevel', 'system', 'is', 'directed', 'towards', 'an', 'incoherent', 'sum', 'of', 'periodic', 'floquet', 'states', 'regardless', 'of', 'the', 'initial', 'state', 'and', 'even', 'the', 'type', 'of', 'the', 'coupling', 'to', 'the', 'environment', 'analyzing', 'the', 'time', 'scale', 'of', 'approaching', 'these', 'timedependent', 'pointer', 'states', 'information', 'can', 'be', 'deduced', 'concerning', 'the', 'nature', 'and', 'strength', 'of', 'the', 'systemenvironment', 'coupling', 'the', 'inversion', 'as', 'a', 'function', 'of', 'the', 'external', 'field', 'is', 'usually', 'multivalued', 'and', 'the', 'form', 'of', 'these', 'hysteresis', 'curves', 'is', 'qualitatively', 'different', 'for', 'low', 'and', 'high', 'temperatures', 'for', 'moderate', 'temperatures', 'we', 'found', 'that', 'the', 'series', 'of', 'landauzenerstuckelbergtype', 'transitions', 'still', 'can', 'be', 'used', 'for', 'state', 'preparation', 'regardless', 'of', 'the', 'decoherence', 'rate', 'possible', 'applications', 'include', 'quantum', 'information', 'processing', 'and', 'molecular', 'nanomagnets']] | [-0.21534352162600418, 0.20703905166194464, -0.061464613034244046, 0.054689279344376084, -0.019781725207646657, -0.14208897297952258, 0.04904535014171108, 0.34367523598204175, -0.287276400511254, -0.28174200908179925, 0.07924676927701424, -0.22797376907666225, -0.09785563109515527, 0.19278029789474893, 0.016769984462513664, 0.028813539482428725, 0.056617963033116774, 0.04841658069979377, -0.058664377689353155, -0.18257822978860103, 0.348413566239627, 0.023886883223894984, 0.26072140807757177, 0.032572213183044936, 0.09622027102229466, 0.021959694028069007, 0.07093795920940991, 0.008912492178784436, -0.06525307003311716, 0.04882302096482445, 0.2180572046161242, 0.058953062892072354, 0.24918447241905223, -0.4611559860711266, -0.21152422663262002, 0.07899342374230948, 0.12529918946205157, 0.18928309455892656, -0.03002456026446321, -0.30592621946202436, 0.0071502876880365504, -0.1483582225424821, -0.15394096259667303, -0.08332379473161503, 0.019132956042633313, 0.035177443804870166, -0.27426475123642574, 0.08855800147319819, 0.0847113310064523, 0.05445548862847219, -0.07021872694211373, -0.050275116690072646, -0.0314564633923751, 0.1268622498890576, 0.0048852537811946975, 0.04298919346832238, 0.1727403717407261, -0.160939473641969, -0.09681876559169536, 0.34924607460263624, -0.10688854079042752, -0.17650689071336065, 0.21854621440127311, -0.1343693041554035, -0.08313370067121303, 0.13113329098040957, 0.13037291102473209, 0.08984036893508095, -0.14293627429708658, 0.07616179771226948, 0.022011421811686274, 0.20076726957123323, 0.0377529284899987, 0.08459187886700124, 0.2268928058883063, 0.14796336986270386, 0.046495628055095314, 0.17836155535313805, -0.08275140286002487, -0.1504579676733863, -0.2753974427805697, -0.14202995481199573, -0.21256237763754396, 0.10444345028188391, -0.08048910698395836, -0.17044655130390662, 0.41086989710056954, 0.14510041675586477, 0.16837689771277672, 0.012360419181080154, 0.25735384468073363, 0.1989629877589542, 0.020517611766727752, 0.05601706455955394, 0.23580288739611271, 0.15520296675427986, 0.07390086662517972, -0.3085436196773347, 0.07321596023043146, -0.002824367326964815] |
711.4634 | Strategies for Addressing Spreadsheet Compliance Challenges | Most organizations today use spreadsheets in some form or another to support
critical business processes. However the financial resources, and developmental
rigor dedicated to them are often minor in comparison to other enterprise
technology. The increasing focus on achieving regulatory and other forms of
compliance over key technology assets has made it clear that organizations must
regard spreadsheets as an enterprise resource and account for them when
developing an overall compliance strategy. This paper provides the reader with
a set of practical strategies for addressing spreadsheet compliance from an
organizational perspective. It then presents capabilities offered in the 2007
Microsoft Office System which can be used to help customers address compliance
challenges.
| cs.CY | most organizations today use spreadsheets in some form or another to support critical business processes however the financial resources and developmental rigor dedicated to them are often minor in comparison to other enterprise technology the increasing focus on achieving regulatory and other forms of compliance over key technology assets has made it clear that organizations must regard spreadsheets as an enterprise resource and account for them when developing an overall compliance strategy this paper provides the reader with a set of practical strategies for addressing spreadsheet compliance from an organizational perspective it then presents capabilities offered in the 2007 microsoft office system which can be used to help customers address compliance challenges | [['most', 'organizations', 'today', 'use', 'spreadsheets', 'in', 'some', 'form', 'or', 'another', 'to', 'support', 'critical', 'business', 'processes', 'however', 'the', 'financial', 'resources', 'and', 'developmental', 'rigor', 'dedicated', 'to', 'them', 'are', 'often', 'minor', 'in', 'comparison', 'to', 'other', 'enterprise', 'technology', 'the', 'increasing', 'focus', 'on', 'achieving', 'regulatory', 'and', 'other', 'forms', 'of', 'compliance', 'over', 'key', 'technology', 'assets', 'has', 'made', 'it', 'clear', 'that', 'organizations', 'must', 'regard', 'spreadsheets', 'as', 'an', 'enterprise', 'resource', 'and', 'account', 'for', 'them', 'when', 'developing', 'an', 'overall', 'compliance', 'strategy', 'this', 'paper', 'provides', 'the', 'reader', 'with', 'a', 'set', 'of', 'practical', 'strategies', 'for', 'addressing', 'spreadsheet', 'compliance', 'from', 'an', 'organizational', 'perspective', 'it', 'then', 'presents', 'capabilities', 'offered', 'in', 'the', '2007', 'microsoft', 'office', 'system', 'which', 'can', 'be', 'used', 'to', 'help', 'customers', 'address', 'compliance', 'challenges']] | [-0.1011294251469995, 0.010333783400061034, -0.038713101526289914, 0.0647848641539375, -0.15514431167061307, -0.1895696665118781, 0.09160392304953088, 0.41012215744038777, -0.27110328475282586, -0.3135933836373234, 0.1419445508914318, -0.294483079658156, -0.14416813877115991, 0.22129965252367714, -0.18223737288748712, 0.08024875895872745, 0.06090984157344792, -0.006492795316652129, 0.06617791372367979, -0.30659905849357266, 0.2856122918622402, 0.0886651122377121, 0.34405944239447955, 0.09374414225541321, 0.017331213856648122, -0.034955102504942, -0.056485801310502994, -0.02002066921392855, -0.08011496762972976, 0.18197977631435996, 0.418631883562609, 0.24800056179602897, 0.4159758039168082, -0.4865014968262195, -0.1449676770883213, 0.07794158931522231, 0.12890782102061035, 0.034971766197746286, -0.007660113375875101, -0.29722819244489074, 0.037951246578554025, -0.2848992855787011, -0.15018144266962605, -0.11852678470729318, 0.014364585879125766, -0.020484975455994054, -0.20811999158468097, -0.0779866417386594, 0.0033246014915805843, 0.13015997758234985, -0.03091389968800026, -0.12908574860921362, 0.008633487244618923, 0.23811417150058592, 0.09986485967134026, 0.005630875405456338, 0.1846865130974038, -0.15618734392462233, -0.15597857326585135, 0.41025392192282845, 0.07075288097049841, -0.16674858192293737, 0.20075847402248265, -0.03676273533035003, -0.17799966679220752, 0.045447466287961494, 0.20517987579140545, -0.0723287773060812, -0.2597227876661106, 0.035850234175346225, 0.08024195850677122, 0.19548396706315024, 0.06778359671339526, 0.015383589852717705, 0.2166545835882841, 0.23682485612932527, 0.09888071517759402, 0.075589688045771, 0.037663936728807, -0.13354229370971943, -0.23096319426466444, -0.18055333521000907, -0.09117729884539065, 0.012777607455583555, -0.060033156082941526, -0.14742195316024923, 0.32163843923522756, 0.21829401720398373, 0.07275937646461118, 0.04910206245196085, 0.363885511719023, 0.031217115964864206, 0.11262690542831219, 0.06513402077377707, 0.1562171495723825, -0.027889718300359943, 0.2289034513471831, -0.0987993309245212, 0.18229441024595872, -0.04631105329359083] |
711.4635 | Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi
mixtures | We study the ground state phases of Bose-Fermi mixtures in one-dimensional
optical lattices with quantum Monte Carlo simulations using the Canonical Worm
algorithm. Depending on the filling of bosons and fermions, and the on-site
intra- and inter-species interaction, different kinds of incompressible and
superfluid phases appear. On the compressible side, correlations between bosons
and fermions can lead to a distinctive behavior of the bosonic superfluid
density and the fermionic stiffness, as well as of the equal-time Green
functions, which allow one to identify regions where the two species exhibit
anticorrelated flow. We present here complete phase diagrams for these systems
at different fillings and as a function of the interaction parameters.
| cond-mat.stat-mech | we study the ground state phases of bosefermi mixtures in onedimensional optical lattices with quantum monte carlo simulations using the canonical worm algorithm depending on the filling of bosons and fermions and the onsite intra and interspecies interaction different kinds of incompressible and superfluid phases appear on the compressible side correlations between bosons and fermions can lead to a distinctive behavior of the bosonic superfluid density and the fermionic stiffness as well as of the equaltime green functions which allow one to identify regions where the two species exhibit anticorrelated flow we present here complete phase diagrams for these systems at different fillings and as a function of the interaction parameters | [['we', 'study', 'the', 'ground', 'state', 'phases', 'of', 'bosefermi', 'mixtures', 'in', 'onedimensional', 'optical', 'lattices', 'with', 'quantum', 'monte', 'carlo', 'simulations', 'using', 'the', 'canonical', 'worm', 'algorithm', 'depending', 'on', 'the', 'filling', 'of', 'bosons', 'and', 'fermions', 'and', 'the', 'onsite', 'intra', 'and', 'interspecies', 'interaction', 'different', 'kinds', 'of', 'incompressible', 'and', 'superfluid', 'phases', 'appear', 'on', 'the', 'compressible', 'side', 'correlations', 'between', 'bosons', 'and', 'fermions', 'can', 'lead', 'to', 'a', 'distinctive', 'behavior', 'of', 'the', 'bosonic', 'superfluid', 'density', 'and', 'the', 'fermionic', 'stiffness', 'as', 'well', 'as', 'of', 'the', 'equaltime', 'green', 'functions', 'which', 'allow', 'one', 'to', 'identify', 'regions', 'where', 'the', 'two', 'species', 'exhibit', 'anticorrelated', 'flow', 'we', 'present', 'here', 'complete', 'phase', 'diagrams', 'for', 'these', 'systems', 'at', 'different', 'fillings', 'and', 'as', 'a', 'function', 'of', 'the', 'interaction', 'parameters']] | [-0.15902995725942626, 0.2710477808440054, -0.08244132515261168, 0.07884999805104893, 0.03128016754137436, -0.18191819879654292, 0.05177951465688042, 0.36686349921935313, -0.22612526530383137, -0.2640442347766513, 0.03625314971662823, -0.30002299702919283, -0.12590696241891197, 0.11591374865724696, 0.11673872695967287, 0.04541849767839586, 0.014725994456114734, -0.035261526101830976, -0.14297469188081655, -0.22764964598474335, 0.3416370267786824, -0.040948678597782714, 0.2623507253498443, 0.06362159440277128, 0.07327030738396151, 0.03345682994705868, 0.05674346933258815, -0.0012067312643200428, -0.15943000983732106, 0.0339462778589747, 0.21654509900133587, -0.05191826470498297, 0.14278565083739456, -0.44074502698070295, -0.1984880978560394, 0.11540062007334856, 0.18434980253244307, 0.13443002780911992, 0.010568093977289627, -0.33345262766689865, -0.06910064275104338, -0.20256283921755952, -0.13020845164905662, -0.1150917192451186, -0.019863981136901153, 0.08275374725695935, -0.24271692606821857, 0.14478954274274475, -0.015632657133890233, 0.08574909549458204, -0.06270317410209074, -0.1313390220548991, -0.04684793989190848, 0.13423036830604648, 0.014890035368955216, -0.00861643638822611, 0.10011833281516358, -0.21602117930547343, -0.11043250940421277, 0.38088145616321684, -0.07124614462399066, -0.1889311748279913, 0.304152088269155, -0.12058297018253093, -0.08820183777778938, 0.12052951871101777, 0.16750721467306484, 0.05562564053128029, -0.089567369194114, 0.045969458298468206, -0.03812349615052242, 0.16641644708710504, 0.004012595534928747, 0.07330604836445402, 0.2590727020130568, 0.13379373888459964, 0.021770761600015936, 0.1953365071970332, -0.11694459768582706, -0.15827110015812354, -0.26520287772002926, -0.1780311260162643, -0.19082571394942902, -0.005892734211106021, -0.07497119424386928, -0.2172365381533431, 0.4099857725941383, 0.14200517266562948, 0.2009895385779453, 0.007077395470250767, 0.25105734841335936, 0.09140344039717403, 0.028002950572618493, 0.026342025636024103, 0.2064561180367663, 0.14457960833526878, 0.06203023529074549, -0.2915082514067894, -0.01393293939071481, 0.12337815525169643] |
711.4636 | Testing Atom and Neutron Neutrality with Atom Interferometry | We propose an atom-interferometry experiment based on the scalar
Aharonov-Bohm effect which detects an atom charge at the 10^{-28}e level, and
improves the current laboratory limits by 8 orders of magnitude. This setup
independently probes neutron charges down to 10^{-28}e, 7 orders of magnitude
below current bounds.
| hep-ph hep-ex hep-th physics.atom-ph | we propose an atominterferometry experiment based on the scalar aharonovbohm effect which detects an atom charge at the 1028e level and improves the current laboratory limits by 8 orders of magnitude this setup independently probes neutron charges down to 1028e 7 orders of magnitude below current bounds | [['we', 'propose', 'an', 'atominterferometry', 'experiment', 'based', 'on', 'the', 'scalar', 'aharonovbohm', 'effect', 'which', 'detects', 'an', 'atom', 'charge', 'at', 'the', '1028e', 'level', 'and', 'improves', 'the', 'current', 'laboratory', 'limits', 'by', '8', 'orders', 'of', 'magnitude', 'this', 'setup', 'independently', 'probes', 'neutron', 'charges', 'down', 'to', '1028e', '7', 'orders', 'of', 'magnitude', 'below', 'current', 'bounds']] | [-0.11080295893740147, 0.21766503446084012, 0.0011254439744702045, 0.0293095111524924, -0.01642922752417941, -0.07018956339898262, 0.0943339319622263, 0.2657616351275368, -0.17824855308107873, -0.43313223670454737, 0.024499066897291453, -0.3286942448070709, -0.0014531069454994606, 0.21964556470196298, 0.014863195730016586, -0.01837812348249111, -0.027387798506211727, 0.038432391201879114, -0.10388621032000223, -0.28462451395449884, 0.284465978268851, 0.09843548912396456, 0.30696246654112286, 0.10997316127325943, 0.11510930814720849, 0.004037909041297563, -0.01291687473496224, -0.02298954672160301, -0.1606791921831826, 0.044829675154958636, 0.202589158840636, -0.00073878246141558, 0.12896448390637624, -0.4876693836314247, -0.10256564947578342, 0.0839586392679113, 0.11228962090024923, 0.11493383825290948, -0.008796557697388244, -0.3144761647315735, 0.06916845997082109, -0.1703706025046871, -0.14399860538740425, -0.0354216327058508, 0.0062264652447180545, -0.04152660418123482, -0.26597309769428473, 0.08410028460376123, 0.036012964125009296, 0.05578191552628228, -0.04425109853532086, -0.16202214500926276, 0.08182932949189017, 0.01876189421981256, 0.03578521029904802, 0.07130463088756091, 0.23747260442518808, -0.13464044259880928, -0.212424255513705, 0.2749972562503783, -0.12267062793475912, -0.1233791732526523, 0.14965241079892408, -0.1799908374198415, -0.058251430795706334, 0.13259053487885505, 0.06134413657654225, 0.11868530399899216, -0.14582224457742685, 0.06366498684981203, 0.021874269331864853, 0.22282518256217876, 0.11483648837608423, 0.061169179909406825, 0.2351315077394247, 0.21827484956605636, 0.1361856200593583, 0.08696478926279444, -0.1630915738790831, -0.003110373382793462, -0.2899729719167536, -0.06243236188558822, -0.11602756446425586, 0.056005261253882596, -0.0876799603386044, -0.03447897068195124, 0.38670921607061903, 0.20444112631710284, 0.15707426650964834, -0.020492895127353358, 0.3477532489502684, 0.14422496263571877, 0.08268062683179024, 0.026760158564974653, 0.2955153950148242, 0.1113083003178001, 0.09815158424502675, -0.2296893265336118, -0.012555613202300477, 0.0643612211025221] |
711.4637 | A nonperturbative parametrization and scenario for EFT renormalization | We present a universal form of the $T$-matrices renormalized in
nonperturbative regime and the ensuing notions and properties that fail
conventional wisdoms. A universal scale is identified and shown to be
renormalization group invariant. The effective range parameters are derived in
a nonperturbative scenario with some new predictions within the realm of
contact potentials. Some controversies are shown to be due to the failure of
conventional wisdoms.
| nucl-th hep-ph hep-th | we present a universal form of the tmatrices renormalized in nonperturbative regime and the ensuing notions and properties that fail conventional wisdoms a universal scale is identified and shown to be renormalization group invariant the effective range parameters are derived in a nonperturbative scenario with some new predictions within the realm of contact potentials some controversies are shown to be due to the failure of conventional wisdoms | [['we', 'present', 'a', 'universal', 'form', 'of', 'the', 'tmatrices', 'renormalized', 'in', 'nonperturbative', 'regime', 'and', 'the', 'ensuing', 'notions', 'and', 'properties', 'that', 'fail', 'conventional', 'wisdoms', 'a', 'universal', 'scale', 'is', 'identified', 'and', 'shown', 'to', 'be', 'renormalization', 'group', 'invariant', 'the', 'effective', 'range', 'parameters', 'are', 'derived', 'in', 'a', 'nonperturbative', 'scenario', 'with', 'some', 'new', 'predictions', 'within', 'the', 'realm', 'of', 'contact', 'potentials', 'some', 'controversies', 'are', 'shown', 'to', 'be', 'due', 'to', 'the', 'failure', 'of', 'conventional', 'wisdoms']] | [-0.1255520264958657, 0.15136168136803516, -0.1394664449061253, 0.10215429138955173, -0.08379212050323388, -0.13148290845704502, 0.02612523629969514, 0.332893028327111, -0.2846317782219666, -0.2536868920077139, 0.0671735150676999, -0.2355329074771769, -0.16511923946968432, 0.1982888108425176, -0.05529114867060153, 0.08686528732972358, 0.002798679055395856, 0.04670079255393192, -0.12368307430505641, -0.1907268255156701, 0.3341719875139977, 0.018142203994984948, 0.2697277158470963, 0.11716763605711175, 0.04875169925169268, -0.04305540177095404, -0.005432153092836266, 0.0776449225690049, -0.14518521638961124, 0.08644175479438768, 0.25702203888056885, 0.028977455599094506, 0.22648185388699396, -0.3998621836471469, -0.25184904290502197, 0.06436263172845565, 0.1431461416546311, 0.13879885477250192, -0.015648540818313166, -0.29553099260178967, 0.10681625508439185, -0.20272368954411193, -0.15113290348576744, -0.12840253366296417, 0.005029635253682065, -0.0015746205002625487, -0.2471460236597862, 0.06969344012096955, -0.006580740713806294, -0.001469815678116101, -0.036534003704897504, -0.0796903853874598, 0.04510436151454698, 0.12473006669515327, 0.07685107730481941, 0.029210418560055653, 0.14608313191209488, -0.16152300067079156, -0.0733778824501518, 0.4273591993460015, -0.04731657344903519, -0.1928688742484508, 0.20499050459796703, -0.12036180046539921, -0.12709394863062998, 0.11297860918844592, 0.09623986502080711, 0.08556524110235163, -0.17720720793273467, 0.109155163089849, -0.015904587526708397, 0.11993071067133057, 0.0003960654035266211, 0.09179313269416878, 0.1626767048250828, 0.10874806800440176, -0.013596697335145366, 0.0687815228706476, -0.010991118347911692, -0.1585027986108812, -0.3400582655597089, -0.08449909827713646, -0.13170188187218423, 0.04239102333450495, -0.05378290126035025, -0.16223642639659427, 0.3772769596587533, 0.1629103093699955, 0.24045139880600705, 0.07646211122732553, 0.22673745325474598, 0.13545521872062513, 0.12083695899111344, 0.06955678838152271, 0.28538184175563197, 0.1505859996011453, 0.013127015569984024, -0.20919932781565767, 0.029525235107641167, 0.0771251889779719] |
711.4638 | Trapping of Neutral Mercury Atoms and Prospects for Optical Lattice
Clocks | We report a vapor-cell magneto-optical trapping of Hg isotopes on the
${}^1S_0-{}^3P_1$ intercombination transition. Six abundant isotopes, including
four bosons and two fermions, were trapped. Hg is the heaviest non-radioactive
atom trapped so far, which enables sensitive atomic searches for ``new
physics'' beyond the standard model. We propose an accurate optical lattice
clock based on Hg and evaluate its systematic accuracy to be better than
$10^{-18}$. Highly accurate and stable Hg-based clocks will provide a new
avenue for the research of optical lattice clocks and the time variation of the
fine-structure constant.
| physics.atom-ph | we report a vaporcell magnetooptical trapping of hg isotopes on the 1s_03p_1 intercombination transition six abundant isotopes including four bosons and two fermions were trapped hg is the heaviest nonradioactive atom trapped so far which enables sensitive atomic searches for new physics beyond the standard model we propose an accurate optical lattice clock based on hg and evaluate its systematic accuracy to be better than 1018 highly accurate and stable hgbased clocks will provide a new avenue for the research of optical lattice clocks and the time variation of the finestructure constant | [['we', 'report', 'a', 'vaporcell', 'magnetooptical', 'trapping', 'of', 'hg', 'isotopes', 'on', 'the', '1s_03p_1', 'intercombination', 'transition', 'six', 'abundant', 'isotopes', 'including', 'four', 'bosons', 'and', 'two', 'fermions', 'were', 'trapped', 'hg', 'is', 'the', 'heaviest', 'nonradioactive', 'atom', 'trapped', 'so', 'far', 'which', 'enables', 'sensitive', 'atomic', 'searches', 'for', 'new', 'physics', 'beyond', 'the', 'standard', 'model', 'we', 'propose', 'an', 'accurate', 'optical', 'lattice', 'clock', 'based', 'on', 'hg', 'and', 'evaluate', 'its', 'systematic', 'accuracy', 'to', 'be', 'better', 'than', '1018', 'highly', 'accurate', 'and', 'stable', 'hgbased', 'clocks', 'will', 'provide', 'a', 'new', 'avenue', 'for', 'the', 'research', 'of', 'optical', 'lattice', 'clocks', 'and', 'the', 'time', 'variation', 'of', 'the', 'finestructure', 'constant']] | [-0.046218291451425655, 0.2394172639711621, 0.031002499581360178, 0.0295349061349913, -0.016752867777224466, -0.19632443497666036, 0.10880249083477436, 0.4335333720335494, -0.16405463724842537, -0.2577350490078654, 0.021871176497686818, -0.29504395040440495, -0.007033445452258963, 0.20459477334921045, 0.04481752072815257, 0.0636619166312891, 0.027547463268527517, 0.00890998117930671, -0.06635303202125689, -0.19863285016111584, 0.20105221046580243, 0.10206136610561414, 0.26715393885008426, 0.06995274396309548, 0.03971871884499231, -0.05289058867113098, 0.021867289440706372, -0.07631658384090532, -0.13846909073586372, 0.20341732227445944, 0.16302296203945804, 0.05641972749878693, 0.21254478222892983, -0.4307797247260485, -0.17720477813956045, 0.11083768207691205, 0.1690366647368216, 0.1981996989684969, -0.08413125665063727, -0.31746976725433185, -0.044776621656796044, -0.1559399162803817, -0.13218188931679595, -0.14776869889085545, 0.04724207758377104, 0.006931342922262443, -0.2564900986870508, 0.03164326951019061, -0.023095551167700804, 0.14010577675704236, -0.07017926091920464, -0.1782260025628721, 0.05771431559443717, 0.056884635751054666, -0.07779904973184508, 0.017769918604956372, 0.17323654155125437, -0.0463568869029626, -0.11064291747955038, 0.4958989809712638, -0.1266153088510454, -0.05981644226805023, 0.19710781650096382, -0.16460813552586603, -0.12981934322084746, 0.14606338882130449, 0.15649819301704512, 0.14349548223570152, -0.12138693499297876, 0.05716986410856328, 0.010653412194306324, 0.21164772084549718, 0.06565008163654609, 0.11870602488963176, 0.23988641295379595, 0.21435898360188888, 0.05928425817831379, 0.06839626829985165, -0.1607432540053117, -0.056382717445755945, -0.23757721586456604, -0.1770571372190202, -0.11669687697987842, 0.022505101755403146, -0.042900463332720705, -0.14711781493552617, 0.38864085474051535, 0.15096454199848938, 0.14591447910820338, -0.0636283927002375, 0.2933890432747, 0.04409221686301348, 0.04680978055061449, -0.01515989124511733, 0.3551265680403246, 0.11654835642042125, 0.047383544323763446, -0.24976545604927788, 0.008533756509322026, 0.08269367094718567] |
711.4639 | On Properties of the Ising Model for Complex Energy/Temperature and
Magnetic Field | We study some properties of the Ising model in the plane of the complex
(energy/temperature)-dependent variable $u=e^{-4K}$, where $K=J/(k_BT)$, for
nonzero external magnetic field, $H$. Exact results are given for the phase
diagram in the $u$ plane for the model in one dimension and on infinite-length
quasi-one-dimensional strips. In the case of real $h=H/(k_BT)$, these results
provide new insights into features of our earlier study of this case. We also
consider complex $h=H/(k_BT)$ and $\mu=e^{-2h}$. Calculations of complex-$u$
zeros of the partition function on sections of the square lattice are
presented. For the case of imaginary $h$, i.e., $\mu=e^{i\theta}$, we use exact
results for the quasi-1D strips together with these partition function zeros
for the model in 2D to infer some properties of the resultant phase diagram in
the $u$ plane. We find that in this case, the phase boundary ${\cal B}_u$
contains a real line segment extending through part of the physical
ferromagnetic interval $0 \le u \le 1$, with a right-hand endpoint $u_{rhe}$ at
the temperature for which the Yang-Lee edge singularity occurs at $\mu=e^{\pm
i\theta}$. Conformal field theory arguments are used to relate the
singularities at $u_{rhe}$ and the Yang-Lee edge.
| cond-mat.stat-mech | we study some properties of the ising model in the plane of the complex energytemperaturedependent variable ue4k where kjk_bt for nonzero external magnetic field h exact results are given for the phase diagram in the u plane for the model in one dimension and on infinitelength quasionedimensional strips in the case of real hhk_bt these results provide new insights into features of our earlier study of this case we also consider complex hhk_bt and mue2h calculations of complexu zeros of the partition function on sections of the square lattice are presented for the case of imaginary h ie mueitheta we use exact results for the quasi1d strips together with these partition function zeros for the model in 2d to infer some properties of the resultant phase diagram in the u plane we find that in this case the phase boundary cal b_u contains a real line segment extending through part of the physical ferromagnetic interval 0 le u le 1 with a righthand endpoint u_rhe at the temperature for which the yanglee edge singularity occurs at muepm itheta conformal field theory arguments are used to relate the singularities at u_rhe and the yanglee edge | [['we', 'study', 'some', 'properties', 'of', 'the', 'ising', 'model', 'in', 'the', 'plane', 'of', 'the', 'complex', 'energytemperaturedependent', 'variable', 'ue4k', 'where', 'kjk_bt', 'for', 'nonzero', 'external', 'magnetic', 'field', 'h', 'exact', 'results', 'are', 'given', 'for', 'the', 'phase', 'diagram', 'in', 'the', 'u', 'plane', 'for', 'the', 'model', 'in', 'one', 'dimension', 'and', 'on', 'infinitelength', 'quasionedimensional', 'strips', 'in', 'the', 'case', 'of', 'real', 'hhk_bt', 'these', 'results', 'provide', 'new', 'insights', 'into', 'features', 'of', 'our', 'earlier', 'study', 'of', 'this', 'case', 'we', 'also', 'consider', 'complex', 'hhk_bt', 'and', 'mue2h', 'calculations', 'of', 'complexu', 'zeros', 'of', 'the', 'partition', 'function', 'on', 'sections', 'of', 'the', 'square', 'lattice', 'are', 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711.464 | Resistively Detected NMR in Quantum Hall States: Investigation of the
anomalous lineshape near $\nu=1$ | A study of the resistively detected nuclear magnetic resonance (RDNMR)
lineshape in the vicinity of $\nu=1$ was performed on a high-mobility 2D
electron gas formed in GaAs/AlGaAs. In higher Landau levels, application of an
RF field at the nuclear magnetic resonance frequency coincides with an observed
minimum in the longitudinal resistance, as predicted by the simple hyperfine
interaction picture. Near $\nu=1$ however, an anomalous dispersive lineshape is
observed where a resistance peak follows the usual minimum. In an effort to
understand the origin of this anomalous peak we have studied the resonance
under various RF and sample conditions. Interestingly, we show that the
lineshape can be completely inverted by simply applying a DC current. We
interpret this as evidence that the minima and maxima in the lineshape
originate from two distinct mechanisms.
| cond-mat.mes-hall | a study of the resistively detected nuclear magnetic resonance rdnmr lineshape in the vicinity of nu1 was performed on a highmobility 2d electron gas formed in gaasalgaas in higher landau levels application of an rf field at the nuclear magnetic resonance frequency coincides with an observed minimum in the longitudinal resistance as predicted by the simple hyperfine interaction picture near nu1 however an anomalous dispersive lineshape is observed where a resistance peak follows the usual minimum in an effort to understand the origin of this anomalous peak we have studied the resonance under various rf and sample conditions interestingly we show that the lineshape can be completely inverted by simply applying a dc current we interpret this as evidence that the minima and maxima in the lineshape originate from two distinct mechanisms | [['a', 'study', 'of', 'the', 'resistively', 'detected', 'nuclear', 'magnetic', 'resonance', 'rdnmr', 'lineshape', 'in', 'the', 'vicinity', 'of', 'nu1', 'was', 'performed', 'on', 'a', 'highmobility', '2d', 'electron', 'gas', 'formed', 'in', 'gaasalgaas', 'in', 'higher', 'landau', 'levels', 'application', 'of', 'an', 'rf', 'field', 'at', 'the', 'nuclear', 'magnetic', 'resonance', 'frequency', 'coincides', 'with', 'an', 'observed', 'minimum', 'in', 'the', 'longitudinal', 'resistance', 'as', 'predicted', 'by', 'the', 'simple', 'hyperfine', 'interaction', 'picture', 'near', 'nu1', 'however', 'an', 'anomalous', 'dispersive', 'lineshape', 'is', 'observed', 'where', 'a', 'resistance', 'peak', 'follows', 'the', 'usual', 'minimum', 'in', 'an', 'effort', 'to', 'understand', 'the', 'origin', 'of', 'this', 'anomalous', 'peak', 'we', 'have', 'studied', 'the', 'resonance', 'under', 'various', 'rf', 'and', 'sample', 'conditions', 'interestingly', 'we', 'show', 'that', 'the', 'lineshape', 'can', 'be', 'completely', 'inverted', 'by', 'simply', 'applying', 'a', 'dc', 'current', 'we', 'interpret', 'this', 'as', 'evidence', 'that', 'the', 'minima', 'and', 'maxima', 'in', 'the', 'lineshape', 'originate', 'from', 'two', 'distinct', 'mechanisms']] | [-0.15730663493785402, 0.15513345594367958, -0.04690928579745532, 0.06657711734949386, -0.00918722385011444, -0.1393767933283622, 0.043946031325807176, 0.3801282705760307, -0.2106804203517227, -0.30422213952988386, 0.013049499110572717, -0.2749830381098119, -0.1419977432709526, 0.19841361071942656, 0.02660517153951029, -0.011682698707745381, -0.03197491603593031, 0.04055747309008218, -0.06283221046517913, -0.12277597540312192, 0.29308471359510085, 0.062200019741078104, 0.3204250907610086, 0.09067226880076552, 0.03667231521985465, -0.019439759942928726, 0.09059549861051368, 0.023992006278907258, -0.12262171433912679, -0.007049857455333977, 0.2432230988550035, -0.03296135641479244, 0.20761041467212085, -0.44282823619687406, -0.1850382452848311, 0.041508050677789884, 0.18042285612671438, 0.11815734764130673, -0.06290089145786072, -0.2736776857636869, 0.026894860170696946, -0.12254280657648589, -0.1467762878393952, -0.023798544933511454, -0.0339694979739954, -0.050557989319327826, -0.2551970046126481, 0.13128840462586872, 0.06357247512575916, 0.12148018241295534, -0.11085290007582499, -0.1202457016369215, -0.017724795214951773, 0.05157882478582024, 0.03119253753472797, 0.045753610075211545, 0.20039797134372886, -0.11357803380462539, -0.1505865155098339, 0.3121128816538575, -0.10957974334296798, -0.0674904763388137, 0.16153589339404734, -0.26012634997481876, -0.08358612936342869, 0.19563275808115688, 0.12464668653961836, 0.033899259778219414, -0.16644852054852174, 0.0554385196539277, -0.02286362362969102, 0.13316172768474754, 0.0763975565999069, 0.02912178804223059, 0.23259250918283325, 0.15040221492756356, 0.029497397296257655, 0.14278518207367707, -0.16793836526763203, -0.011184570734092797, -0.238905973309143, -0.09551094448243296, -0.19599621135840248, 0.08683571284531023, -0.013890230160155405, -0.14052434548890838, 0.4414720067359281, 0.0929595518680964, 0.26353470756756986, -0.07527057338632982, 0.30330900035473995, 0.19763284788121271, 0.08682606260426286, 0.033294385937606974, 0.27572245792852657, 0.18951996367523502, 0.10246916445832925, -0.33405027148370264, 0.05007504640415198, -0.05132873723403353] |
711.4641 | Relational evolution of a simple quantum Hamiltonian model | We study the quantum dynamics of a time reparametrization invariant system
with a vanishing Hamiltonian. The evolution of the physical degrees of freedom
of the system is described, both at the classical and at the quantum level, in
relational terms by the construction of an internal time parameter. We use the
Pegg-Barnett phase operator formalism in finite dimensional Hilbert space as an
essential ingredient.
| quant-ph | we study the quantum dynamics of a time reparametrization invariant system with a vanishing hamiltonian the evolution of the physical degrees of freedom of the system is described both at the classical and at the quantum level in relational terms by the construction of an internal time parameter we use the peggbarnett phase operator formalism in finite dimensional hilbert space as an essential ingredient | [['we', 'study', 'the', 'quantum', 'dynamics', 'of', 'a', 'time', 'reparametrization', 'invariant', 'system', 'with', 'a', 'vanishing', 'hamiltonian', 'the', 'evolution', 'of', 'the', 'physical', 'degrees', 'of', 'freedom', 'of', 'the', 'system', 'is', 'described', 'both', 'at', 'the', 'classical', 'and', 'at', 'the', 'quantum', 'level', 'in', 'relational', 'terms', 'by', 'the', 'construction', 'of', 'an', 'internal', 'time', 'parameter', 'we', 'use', 'the', 'peggbarnett', 'phase', 'operator', 'formalism', 'in', 'finite', 'dimensional', 'hilbert', 'space', 'as', 'an', 'essential', 'ingredient']] | [-0.17078841384500265, 0.17392069852621717, -0.09794413749477826, 0.028039428414558643, 0.007548710942501202, -0.059314735524822026, -0.005267042233754182, 0.2686479270923883, -0.28487236076034606, -0.268232783088024, 0.07282098875111842, -0.20955674602009822, -0.14589582988992333, 0.14431619028619025, -0.02521958998113405, 0.0770496766344877, 0.02299656868854072, 0.08446817646472482, -0.108957229720545, -0.22464398625015747, 0.3783650871482678, 0.09721526353314403, 0.22449129399319645, 0.011502193083288148, 0.18472073268640088, 0.06767250537632208, 0.016605564625933766, -0.012471107293549721, -0.12134464859263971, 0.07756944024004042, 0.23430338856996968, 0.06804007854225347, 0.25122763506078627, -0.4037600869924063, -0.21819596172417732, 0.08662150047894102, 0.11075831970083527, 0.11868694507575128, 0.024733351803661208, -0.28872762226092163, -0.0032114468049257994, -0.170819490806025, -0.22068462050083326, -0.11511430148675572, -0.003847305226372555, -0.07126854505986557, -0.20416444475995377, 0.050805068436602596, 0.10302836481423583, 0.10584606892371085, -0.0569647640659241, -0.02327680831649559, -0.03313574455387425, 0.12334845703298924, -0.036849933519988554, 0.033547005425589305, 0.08111029394967773, -0.12697410244584262, -0.12854678252188023, 0.4054014456633013, -0.08125337578076142, -0.23830753634683788, 0.16403796401573345, -0.12873952806876332, -0.12862292475620052, 0.08600013076647883, 0.14758122772036586, 0.13215879444032907, -0.1382227065623738, 0.1883882019748171, 0.002362725426792167, 0.15183740423526615, -0.008181764467735775, 0.12258563390059862, 0.16613966603472363, 0.15739811181265395, 0.05790018104016781, 0.14384561216138536, -0.03154859479400329, -0.21550692463642918, -0.3966192246589344, -0.21108570199072574, -0.20143984100286616, 0.06845520346541889, -0.1406188719408874, -0.1652767964405939, 0.4382478178522433, 0.1118286029304727, 0.1937646074093209, 0.024153453603503294, 0.2761575613585592, 0.18488934586457617, 0.04747515635972377, 0.05740703440096695, 0.17114136857708218, 0.1414580196760653, 0.08088070221128874, -0.28061362598236883, 0.002294650665135123, 0.13950068154372275] |
711.4642 | One, Two, and $n$ Qubit Decoherence | We study decoherence of one, two, and $n$ non-interacting qubits.
Decoherence, measured in terms of purity, is calculated in linear response
approximation, making use of the spectator configuration. The environment and
its interaction with the qubits are modelled by random matrices. For two
qubits, numerical studies reveal a simple one to one correspondence between its
decoherence and its internal entanglement decay. Using this relation we are
able to give a formula for concurrence decay. For large environments the
evolution induces a unital channel in the two qubits, providing a partial
explanation for the relation above. Using a kicked Ising spin network, we study
the exact evolution of two non-interacting qubits in the presence of a spin
bath. We find that the entanglement (as measured by concurrence) of the two
qubits has a close relation to the purity of the pair, and closely follows an
analytic relation derived for Werner states. As a collateral result we find
that an integrable environment causes quadratic decay of concurrence as well as
of purity, while a chaotic environment causes linear decay. Both quantities
display recurrences in some integrable environments. Good agreement with the
results found using random matrix theory is obtained. Finally, we analyze
decoherence of a quantum register in the absence of non-local operations. The
problem is solved in terms of a sum rule which implies linear scaling in the
number of qubits. Each term involves a single qubit and its entanglement with
the remaining ones. Two conditions are essential: decoherence must be small and
the coupling of different qubits must be uncorrelated in the interaction
picture. We apply the result to the random matrix model, and illustrate its
reach considering a GHZ state coupled to a spin bath.
| quant-ph | we study decoherence of one two and n noninteracting qubits decoherence measured in terms of purity is calculated in linear response approximation making use of the spectator configuration the environment and its interaction with the qubits are modelled by random matrices for two qubits numerical studies reveal a simple one to one correspondence between its decoherence and its internal entanglement decay using this relation we are able to give a formula for concurrence decay for large environments the evolution induces a unital channel in the two qubits providing a partial explanation for the relation above using a kicked ising spin network we study the exact evolution of two noninteracting qubits in the presence of a spin bath we find that the entanglement as measured by concurrence of the two qubits has a close relation to the purity of the pair and closely follows an analytic relation derived for werner states as a collateral result we find that an integrable environment causes quadratic decay of concurrence as well as of purity while a chaotic environment causes linear decay both quantities display recurrences in some integrable environments good agreement with the results found using random matrix theory is obtained finally we analyze decoherence of a quantum register in the absence of nonlocal operations the problem is solved in terms of a sum rule which implies linear scaling in the number of qubits each term involves a single qubit and its entanglement with the remaining ones two conditions are essential decoherence must be small and the coupling of different qubits must be uncorrelated in the interaction picture we apply the result to the random matrix model and illustrate its reach considering a ghz state coupled to a spin bath | [['we', 'study', 'decoherence', 'of', 'one', 'two', 'and', 'n', 'noninteracting', 'qubits', 'decoherence', 'measured', 'in', 'terms', 'of', 'purity', 'is', 'calculated', 'in', 'linear', 'response', 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711.4643 | The Friedberg-Lee model at finite temperature and density | The Friedberg-Lee model is studied at finite temperature and density. By
using the finite temperature field theory, the effective potential of the
Friedberg-Lee model and the bag constant $B(T)$ and $B(T,\mu)$ have been
calculated at different temperatures and densities. It is shown that there is a
critical temperature $T_{C}\simeq 106.6 \mathrm{MeV}$ when $\mu=0 \mathrm{MeV}$
and a critical chemical potential $\mu \simeq 223.1 \mathrm{MeV}$ for fixing
the temperature at $T=50 \mathrm{MeV}$. We also calculate the soliton solutions
of the Friedberg-Lee model at finite temperature and density. It turns out that
when $T\leq T_{C}$ (or $\mu \leq \mu_C$), there is a bag constant $B(T)$ (or
$B(T,\mu)$) and the soliton solutions are stable. However, when $T>T_{C}$ (or
$\mu>\mu_C$) the bag constant $B(T)=0 \mathrm{MeV}$ (or $B(T,\mu)=0
\mathrm{MeV}$) and there is no soliton solution anymore, therefore, the
confinement of quarks disappears quickly.
| hep-ph nucl-th | the friedberglee model is studied at finite temperature and density by using the finite temperature field theory the effective potential of the friedberglee model and the bag constant bt and btmu have been calculated at different temperatures and densities it is shown that there is a critical temperature t_csimeq 1066 mathrmmev when mu0 mathrmmev and a critical chemical potential mu simeq 2231 mathrmmev for fixing the temperature at t50 mathrmmev we also calculate the soliton solutions of the friedberglee model at finite temperature and density it turns out that when tleq t_c or mu leq mu_c there is a bag constant bt or btmu and the soliton solutions are stable however when tt_c or mumu_c the bag constant bt0 mathrmmev or btmu0 mathrmmev and there is no soliton solution anymore therefore the confinement of quarks disappears quickly | [['the', 'friedberglee', 'model', 'is', 'studied', 'at', 'finite', 'temperature', 'and', 'density', 'by', 'using', 'the', 'finite', 'temperature', 'field', 'theory', 'the', 'effective', 'potential', 'of', 'the', 'friedberglee', 'model', 'and', 'the', 'bag', 'constant', 'bt', 'and', 'btmu', 'have', 'been', 'calculated', 'at', 'different', 'temperatures', 'and', 'densities', 'it', 'is', 'shown', 'that', 'there', 'is', 'a', 'critical', 'temperature', 't_csimeq', '1066', 'mathrmmev', 'when', 'mu0', 'mathrmmev', 'and', 'a', 'critical', 'chemical', 'potential', 'mu', 'simeq', '2231', 'mathrmmev', 'for', 'fixing', 'the', 'temperature', 'at', 't50', 'mathrmmev', 'we', 'also', 'calculate', 'the', 'soliton', 'solutions', 'of', 'the', 'friedberglee', 'model', 'at', 'finite', 'temperature', 'and', 'density', 'it', 'turns', 'out', 'that', 'when', 'tleq', 't_c', 'or', 'mu', 'leq', 'mu_c', 'there', 'is', 'a', 'bag', 'constant', 'bt', 'or', 'btmu', 'and', 'the', 'soliton', 'solutions', 'are', 'stable', 'however', 'when', 'tt_c', 'or', 'mumu_c', 'the', 'bag', 'constant', 'bt0', 'mathrmmev', 'or', 'btmu0', 'mathrmmev', 'and', 'there', 'is', 'no', 'soliton', 'solution', 'anymore', 'therefore', 'the', 'confinement', 'of', 'quarks', 'disappears', 'quickly']] | [-0.1020557667613516, 0.2818578264411928, -0.08715616945010513, 0.05665982236004949, -0.014312314509011027, -0.20905480631488138, 0.1232580756655644, 0.3745967588568134, -0.1770693626421601, -0.24158582478108356, 0.08733492163218447, -0.34575053724224, -0.0026541588786266634, 0.10460397087683929, 0.0789091305237319, 0.03676478596362494, -0.049318667994673125, 0.10984541772675367, -0.09795725000253357, -0.19624843634665012, 0.2765166587126789, -0.01973351252129746, 0.2587469797442431, 0.20202626323383024, 0.08680395608934671, -0.07247088239667242, 0.10245596847163319, 0.01339373232296376, -0.2341446898910851, -0.11074871827375644, 0.20848297011002953, -0.01066850055766695, 0.2078139016164967, -0.26011405817107924, -0.2361476539926075, 0.1446146426458301, 0.13007169015663886, 0.09370264259806431, -0.04843058215746128, -0.2511453747248916, 0.1379267720039934, -0.13962558154433743, -0.1837826309510187, -0.08665761723593156, 0.09145455101744702, -0.044386615383320616, -0.3086115202880395, 0.15169798893160744, -0.003600472459263766, 0.036491589996018516, -0.09445237054545154, -0.22417328048692042, -0.09223323434751148, 0.023698351813137963, 0.09052172174187266, 0.12919476108430927, 0.13344217133847303, -0.1403748702723533, 0.034680123989984615, 0.38839006435070467, -0.11801062708671914, -0.1161837789904215, 0.15344366430367495, -0.11451694846792675, -0.06632566843320852, 0.13087863582811915, 0.04752316318605262, 0.1058387271503904, -0.1203358489080678, 0.17141931851867087, 0.025943938884258604, 0.21196917064119575, 0.13752956348193338, -0.05582520075458616, 0.2430981704270217, 0.15601499980522335, 0.04237070558210418, 0.050444873849124605, -0.04034228472268459, -0.08428701848736894, -0.3274190202772395, -0.07586941448624121, -0.15067377659829279, 0.04805263370942714, -0.15340192118961948, -0.1303462208749956, 0.32562808155902284, 0.15312585188770916, 0.21193524100122724, 0.03650946099199911, 0.23728294309173056, 0.166679631022097, 0.057321298799699924, 0.12947650584948264, 0.210307348450062, 0.1563765057362616, 0.1574577091734356, -0.2584904290131057, -0.04867496872807283, 0.02888308850867646] |
711.4644 | Verifying black hole orbits with gravitational spectroscopy | Gravitational waves from test masses bound to geodesic orbits of rotating
black holes are simulated, using Teukolsky's black hole perturbation formalism,
for about ten thousand generic orbital configurations. Each binary radiates
power exclusively in modes with frequencies that are
integer-linear-combinations of the orbit's three fundamental frequencies. The
following general spectral properties are found with a survey of orbits: (i)
99% of the radiated power is typically carried by a few hundred modes, and at
most by about a thousand modes, (ii) the dominant frequencies can be grouped
into a small number of families defined by fixing two of the three integer
frequency multipliers, and (iii) the specifics of these trends can be
qualitatively inferred from the geometry of the orbit under consideration.
Detections using triperiodic analytic templates modeled on these general
properties would constitute a verification of radiation from an adiabatic
sequence of black hole orbits and would recover the evolution of the
fundamental orbital frequencies. In an analogy with ordinary spectroscopy, this
would compare to observing the Bohr model's atomic hydrogen spectrum without
being able to rule out alternative atomic theories or nuclei. The suitability
of such a detection technique is demonstrated using snapshots computed at
12-hour intervals throughout the last three years before merger of a kludged
inspiral. Because of circularization, the number of excited modes decreases as
the binary evolves. A hypothetical detection algorithm that tracks mode
families dominating the first 12 hours of the inspiral would capture 98% of the
total power over the remaining three years.
| gr-qc astro-ph | gravitational waves from test masses bound to geodesic orbits of rotating black holes are simulated using teukolskys black hole perturbation formalism for about ten thousand generic orbital configurations each binary radiates power exclusively in modes with frequencies that are integerlinearcombinations of the orbits three fundamental frequencies the following general spectral properties are found with a survey of orbits i 99 of the radiated power is typically carried by a few hundred modes and at most by about a thousand modes ii the dominant frequencies can be grouped into a small number of families defined by fixing two of the three integer frequency multipliers and iii the specifics of these trends can be qualitatively inferred from the geometry of the orbit under consideration detections using triperiodic analytic templates modeled on these general properties would constitute a verification of radiation from an adiabatic sequence of black hole orbits and would recover the evolution of the fundamental orbital frequencies in an analogy with ordinary spectroscopy this would compare to observing the bohr models atomic hydrogen spectrum without being able to rule out alternative atomic theories or nuclei the suitability of such a detection technique is demonstrated using snapshots computed at 12hour intervals throughout the last three years before merger of a kludged inspiral because of circularization the number of excited modes decreases as the binary evolves a hypothetical detection algorithm that tracks mode families dominating the first 12 hours of the inspiral would capture 98 of the total power over the remaining three years | [['gravitational', 'waves', 'from', 'test', 'masses', 'bound', 'to', 'geodesic', 'orbits', 'of', 'rotating', 'black', 'holes', 'are', 'simulated', 'using', 'teukolskys', 'black', 'hole', 'perturbation', 'formalism', 'for', 'about', 'ten', 'thousand', 'generic', 'orbital', 'configurations', 'each', 'binary', 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711.4645 | Charmed baryon strong decays in a chiral quark model | Charmed baryon strong decays are studied in a chiral quark model. The data
for the decays of $\Lambda^+_c(2593)$, $\Lambda^+_c(2625)$, $\Sigma^{++,+,0}_c$
and $\Sigma^{+,0}_c(2520)$, are accounted for successfully, which allows to fix
the pseudoscalar-meson-quark couplings in an effective chiral Lagrangian.
Extending this framework to analyze the strong decays of the newly observed
charmed baryons, we classify that both $\Lambda_c(2880)$ and $\Lambda_c(2940)$
are $D$-wave states in the N=2 shell; $\Lambda_c(2880)$ could be $|\Lambda_c ^2
D_{\lambda\lambda}{3/2}^+>$ and $\Lambda_c(2940)$ could be $|\Lambda_c ^2
D_{\lambda\lambda}{5/2}^+>$. Our calculation also suggests that
$\Lambda_c(2765)$ is very likely a $\rho$-mode $P$-wave excited state in the
N=1 shell, and favors a $|\Lambda_c ^4P_\rho 1/2^->$ configuration. The
$\Sigma_c(2800)$ favors being a $|\Sigma_c ^2P_\lambda{1/2}^->$ state. But its
being $|\Sigma^{++}_c ^4 P_\lambda{5/2}^->$ cannot be ruled out.
| hep-ph hep-ex | charmed baryon strong decays are studied in a chiral quark model the data for the decays of lambda_c2593 lambda_c2625 sigma0_c and sigma0_c2520 are accounted for successfully which allows to fix the pseudoscalarmesonquark couplings in an effective chiral lagrangian extending this framework to analyze the strong decays of the newly observed charmed baryons we classify that both lambda_c2880 and lambda_c2940 are dwave states in the n2 shell lambda_c2880 could be lambda_c 2 d_lambdalambda32 and lambda_c2940 could be lambda_c 2 d_lambdalambda52 our calculation also suggests that lambda_c2765 is very likely a rhomode pwave excited state in the n1 shell and favors a lambda_c 4p_rho 12 configuration the sigma_c2800 favors being a sigma_c 2p_lambda12 state but its being sigma_c 4 p_lambda52 cannot be ruled out | [['charmed', 'baryon', 'strong', 'decays', 'are', 'studied', 'in', 'a', 'chiral', 'quark', 'model', 'the', 'data', 'for', 'the', 'decays', 'of', 'lambda_c2593', 'lambda_c2625', 'sigma0_c', 'and', 'sigma0_c2520', 'are', 'accounted', 'for', 'successfully', 'which', 'allows', 'to', 'fix', 'the', 'pseudoscalarmesonquark', 'couplings', 'in', 'an', 'effective', 'chiral', 'lagrangian', 'extending', 'this', 'framework', 'to', 'analyze', 'the', 'strong', 'decays', 'of', 'the', 'newly', 'observed', 'charmed', 'baryons', 'we', 'classify', 'that', 'both', 'lambda_c2880', 'and', 'lambda_c2940', 'are', 'dwave', 'states', 'in', 'the', 'n2', 'shell', 'lambda_c2880', 'could', 'be', 'lambda_c', '2', 'd_lambdalambda32', 'and', 'lambda_c2940', 'could', 'be', 'lambda_c', '2', 'd_lambdalambda52', 'our', 'calculation', 'also', 'suggests', 'that', 'lambda_c2765', 'is', 'very', 'likely', 'a', 'rhomode', 'pwave', 'excited', 'state', 'in', 'the', 'n1', 'shell', 'and', 'favors', 'a', 'lambda_c', '4p_rho', '12', 'configuration', 'the', 'sigma_c2800', 'favors', 'being', 'a', 'sigma_c', '2p_lambda12', 'state', 'but', 'its', 'being', 'sigma_c', '4', 'p_lambda52', 'can', 'not', 'be', 'ruled', 'out']] | [-0.11679234500805816, 0.267015178245417, -0.08949059761000862, 0.17038537315012695, -0.05630360725175204, -0.1818647869212296, 0.06468709372887227, 0.2962522166861414, -0.16108192925357484, -0.21144722660618095, -0.021469847054284966, -0.3520007616508369, -0.0005040135041906916, 0.037354294066156805, 0.10071848686142214, 0.02587094728720519, 0.03141128752934586, 0.02696297904235664, 0.0008222652751759723, -0.20011728527606465, 0.273164862405573, -0.045077805575946796, 0.18581460465793498, 0.16247131603023293, -0.06795464999520155, -0.06522355669836417, 0.05713397526515423, -0.026853429603165592, -0.11943280445233666, 0.030721230935686718, 0.2209499446762493, 0.09051635350775102, 0.1343875746242702, -0.3647554604946796, -0.13954815165950626, 0.1395315181640587, 0.248967008914092, 0.19191429191891202, 0.021813858099731392, -0.3743730298693067, 0.16331590350380104, -0.19283589172771137, -0.18014323986376282, -0.15233110189277294, 0.03972798136689154, -0.0917717158505372, -0.3134963859458743, 0.0997797788511199, -0.03425711146074122, -0.004078304812569043, -0.06143782545505332, -0.22302909820854408, -0.08098027323460977, 0.0230481052201177, 0.07195359961519114, 0.13154512394123294, 0.1278678495798196, -0.12457800518665142, -0.11876919128177367, 0.3927375099557484, -0.04190799243073782, -0.16640065277220104, 0.09558601105176233, -0.10870365535836378, -0.15485995098173716, 0.14201419737093665, 0.13154232247274947, 0.07797116766972788, -0.15388295078521658, 0.07506100240701424, -0.05369355129921038, 0.202957651553804, 0.028799044630682932, 0.045534773476839326, 0.22042367307083874, 0.1726548332110818, -0.0461906008713413, 0.06253715584171005, -0.08499417489330316, -0.060964266673244276, -0.321186402523569, -0.12374736489085801, -0.11277330884356694, 0.07714799384334113, -0.01689444784153301, -0.06791090487516566, 0.3480523517917328, 0.0332404153044175, 0.2743885887160512, -0.020590593684103403, 0.237505702253688, 0.06872657499103486, 0.07763908439364027, 0.12418429344362611, 0.33277480406204946, 0.20094977075169826, 0.06074112516041074, -0.28686573804789706, 0.037408310795556114, -0.019331150326942062] |
711.4646 | Dark-matter sterile neutrinos in models with a gauge singlet in the
Higgs sector | Sterile neutrino with mass of several keV can be the cosmological dark
matter, can explain the observed velocities of pulsars, and can play an
important role in the formation of the first stars. We describe the production
of sterile neutrinos in a model with an extended Higgs sector, in which the
Majorana mass term is generated by the vacuum expectation value of a
gauge-singlet Higgs boson. In this model the relic abundance of sterile
neutrinos does not necessarily depend on their mixing angles, the
free-streaming length can be much smaller than in the case of warm dark matter
produced by neutrino oscillations, and, therefore, some of the previously
quoted bounds do not apply. The presence of the gauge singlet in the Higgs
sector has important implications for the electroweak phase transition,
baryogenesis, and the upcoming experiments at the Large Hadron Collider and a
Linear Collider.
| hep-ph astro-ph | sterile neutrino with mass of several kev can be the cosmological dark matter can explain the observed velocities of pulsars and can play an important role in the formation of the first stars we describe the production of sterile neutrinos in a model with an extended higgs sector in which the majorana mass term is generated by the vacuum expectation value of a gaugesinglet higgs boson in this model the relic abundance of sterile neutrinos does not necessarily depend on their mixing angles the freestreaming length can be much smaller than in the case of warm dark matter produced by neutrino oscillations and therefore some of the previously quoted bounds do not apply the presence of the gauge singlet in the higgs sector has important implications for the electroweak phase transition baryogenesis and the upcoming experiments at the large hadron collider and a linear collider | [['sterile', 'neutrino', 'with', 'mass', 'of', 'several', 'kev', 'can', 'be', 'the', 'cosmological', 'dark', 'matter', 'can', 'explain', 'the', 'observed', 'velocities', 'of', 'pulsars', 'and', 'can', 'play', 'an', 'important', 'role', 'in', 'the', 'formation', 'of', 'the', 'first', 'stars', 'we', 'describe', 'the', 'production', 'of', 'sterile', 'neutrinos', 'in', 'a', 'model', 'with', 'an', 'extended', 'higgs', 'sector', 'in', 'which', 'the', 'majorana', 'mass', 'term', 'is', 'generated', 'by', 'the', 'vacuum', 'expectation', 'value', 'of', 'a', 'gaugesinglet', 'higgs', 'boson', 'in', 'this', 'model', 'the', 'relic', 'abundance', 'of', 'sterile', 'neutrinos', 'does', 'not', 'necessarily', 'depend', 'on', 'their', 'mixing', 'angles', 'the', 'freestreaming', 'length', 'can', 'be', 'much', 'smaller', 'than', 'in', 'the', 'case', 'of', 'warm', 'dark', 'matter', 'produced', 'by', 'neutrino', 'oscillations', 'and', 'therefore', 'some', 'of', 'the', 'previously', 'quoted', 'bounds', 'do', 'not', 'apply', 'the', 'presence', 'of', 'the', 'gauge', 'singlet', 'in', 'the', 'higgs', 'sector', 'has', 'important', 'implications', 'for', 'the', 'electroweak', 'phase', 'transition', 'baryogenesis', 'and', 'the', 'upcoming', 'experiments', 'at', 'the', 'large', 'hadron', 'collider', 'and', 'a', 'linear', 'collider']] | [-0.10297237357670634, 0.32213049150284795, -0.06253402813273515, 0.18932335019625465, -0.10189953972184067, -0.12002331111580133, -0.016478555912858454, 0.2995194223291915, -0.17804049849590478, -0.32455549250710114, 0.034217157951909404, -0.26262454748282144, 0.00918174483171054, 0.16074512843444044, 0.049410700746651354, 0.02723643175278116, 0.03748204139992595, 0.019438226790777568, -0.0398832376725201, -0.2872939802642012, 0.30296794098544994, 0.10180811316802583, 0.16130529872045435, 0.08724755547812273, 0.0609514643020671, -0.07267078256459329, -0.022809784985869993, -0.08495514905401345, -0.10550922754567903, 0.03434851063608096, 0.18563647449401946, 0.10092110129450609, 0.14295598929747938, -0.3904607032008212, -0.20626755825581095, 0.24125938721097492, 0.19435436806545175, 0.10355811294023719, -0.09283679466501905, -0.3304304623574918, 0.05001871516157327, -0.23718020134477008, -0.12250644701195816, -0.009114757994318316, -0.0867357564961602, -0.0982763450913902, -0.2897709251766832, 0.11083073510932896, -0.04726215843552852, -0.033298423056137456, -0.03204522425276709, -0.1675568559303366, -0.04571068332177298, -0.013400275247364209, 0.1716345308252193, -0.050781943225542664, 0.16285181938317314, -0.22057611025580814, -0.12443582445768447, 0.4581372865086325, -0.14098184894788449, -0.110353964581636, 0.12648756781528736, -0.19091099373482426, -0.15016952008490675, 0.12572253616526724, 0.18478195530458771, 0.05797955177660132, -0.12827798441887417, 0.15819947618894792, -0.1034910868933617, 0.20712231857670022, 0.04782450883488717, 0.05234323456112681, 0.36346510026347023, 0.18188058588461115, 0.08985754491937957, -0.010184089250156078, -0.09967443064208431, -0.05002563153875285, -0.41584375932298856, -0.14427360298738268, -0.08950063570659479, 0.030612473466417527, -0.08268345739443561, -0.11406216058510774, 0.40703100490159, 0.14254475480330916, 0.22422548776877851, -0.027212413979276758, 0.2849703353058932, 0.08782826319079974, 0.07816889576878848, 0.038572399559679664, 0.37338330655555435, 0.15984688728228855, 0.13090215756654225, -0.2728466085222518, 0.04885411658484874, 0.05596717063594481] |
711.4647 | Super-rigidity for CR embeddings of real hypersurfaces into
hyperquadrics | Let $Q^N_l\subset \bC\bP^{N+1}$ denote the standard real, nondegenerate
hyperquadric of signature $l$ and $M\subset \bC^{n+1}$ a real, Levi
nondegenerate hypersurface of the same signature $l$. We shall assume that
there is a holomorphic mapping $H_0\colon U\to \bC\bP^{N_0+1}$, where $U$ is
some neighborhood of $M$ in $\bC^{n+1}$, such that $H_0(M)\subset Q^{N_0}_l$
but $H(U)\not\subset Q^{N_0}_l$. We show that if $N_0-n<l$ then, for any $N\geq
N_0$, any holomorphic mapping $H\colon U\to \bC\bP^{N+1}$ with $H(M)\subset
Q^{N}_l$ and $H(U)\not\subset Q^{N_0}_l$ must be the standard linear embedding
of $Q^{N_0}_l$ into $Q^N_l$ up to conjugation by automorphisms of $Q^{N_0}_l$
and $Q^N_l$.
| math.CV math.DG | let qn_lsubset bcbpn1 denote the standard real nondegenerate hyperquadric of signature l and msubset bcn1 a real levi nondegenerate hypersurface of the same signature l we shall assume that there is a holomorphic mapping h_0colon uto bcbpn_01 where u is some neighborhood of m in bcn1 such that h_0msubset qn_0_l but hunotsubset qn_0_l we show that if n_0nl then for any ngeq n_0 any holomorphic mapping hcolon uto bcbpn1 with hmsubset qn_l and hunotsubset qn_0_l must be the standard linear embedding of qn_0_l into qn_l up to conjugation by automorphisms of qn_0_l and qn_l | [['let', 'qn_lsubset', 'bcbpn1', 'denote', 'the', 'standard', 'real', 'nondegenerate', 'hyperquadric', 'of', 'signature', 'l', 'and', 'msubset', 'bcn1', 'a', 'real', 'levi', 'nondegenerate', 'hypersurface', 'of', 'the', 'same', 'signature', 'l', 'we', 'shall', 'assume', 'that', 'there', 'is', 'a', 'holomorphic', 'mapping', 'h_0colon', 'uto', 'bcbpn_01', 'where', 'u', 'is', 'some', 'neighborhood', 'of', 'm', 'in', 'bcn1', 'such', 'that', 'h_0msubset', 'qn_0_l', 'but', 'hunotsubset', 'qn_0_l', 'we', 'show', 'that', 'if', 'n_0nl', 'then', 'for', 'any', 'ngeq', 'n_0', 'any', 'holomorphic', 'mapping', 'hcolon', 'uto', 'bcbpn1', 'with', 'hmsubset', 'qn_l', 'and', 'hunotsubset', 'qn_0_l', 'must', 'be', 'the', 'standard', 'linear', 'embedding', 'of', 'qn_0_l', 'into', 'qn_l', 'up', 'to', 'conjugation', 'by', 'automorphisms', 'of', 'qn_0_l', 'and', 'qn_l']] | [-0.1907780433674668, 0.07797579157577697, -0.04396910448071309, -0.015613491525115488, -0.08508444244453553, -0.20497230588740042, -0.023299469276829514, 0.34029194766785514, -0.3077471319932577, -0.14445143444247024, 0.07127360286134252, -0.32006084524788136, -0.13914619876088055, 0.1463265094965653, -0.0844197738428362, -0.03680930530847332, 0.030823964468571684, 0.0995222082101675, -0.09353308097275277, -0.21471380771592605, 0.37301933949510024, -0.14087701196847266, 0.10043303743221385, 0.05760534447726122, 0.13223668807565214, -0.0049816648594948445, 0.055317328593065575, -0.02066435280992368, -0.158223090940991, 0.022836150964288864, 0.2625543946822629, 0.1342587109958363, 0.20234576701511478, -0.33240204902235854, -0.17189098046117918, 0.29311075482820703, 0.15616292217313205, -0.10907110760291648, -0.009824023289649292, -0.29082700200812067, 0.1923765507310109, -0.08986143351987351, -0.138323662948773, -0.05306283791676748, 0.11656834102820518, -0.020154398075456537, -0.3006062592747946, -0.03819200279580992, 0.16055783008490582, 0.08040235360521217, -0.026436141352331657, -0.10060931685878786, -0.14517133721951828, 0.05615852179742137, -0.052535858671289196, 0.1517926342487552, 0.07147427673754823, -0.0192667129422473, -0.058479708040046485, 0.3860307112119572, -0.14090295439196188, -0.24341303118786148, 0.09729078572871554, -0.21743954777132807, -0.1515243415542077, 0.09103556893235289, 0.09754567000971631, 0.10757296444133443, -0.02353732763291445, 0.28329188249352777, -0.12715704428291943, 0.12224864392259786, 0.11139350533918586, -0.05930764306076737, 0.10015389797559311, 0.06747765862653682, 0.11187313562042492, 0.04765529795089563, 0.007234906821056854, 0.06292215896077281, -0.3865823653028455, -0.22647566688084586, -0.13778068248160877, 0.2264293599440608, -0.1063063865479117, -0.13662952614601614, 0.29508121601890686, 0.010282769758622487, 0.23719823421087377, 0.10568472928215944, 0.20405640607959655, 0.05331469552461491, 0.06358337821980375, 0.137591618944371, 0.06094377824317848, 0.13000740478259273, -0.07519087047846772, -0.12443136840163281, -0.04325528936947934, 0.1255196524718993] |
711.4648 | A Remark on a Theorem by Kodama and Shimizu | We prove a characterization theorem for the unit polydisc
$\Delta^n\subset\CC^n$ in the spirit of a recent result due to Kodama and
Shimizu. We show that if $M$ is a connected $n$-dimensional complex manifold
such that (i) the group $\hbox{Aut}(M)$ of holomorphic automorphisms of $M$
acts on $M$ with compact isotropy subgroups, and (ii) $\hbox{Aut}(M)$ and
$\hbox{Aut}(\Delta^n)$ are isomorphic as topological groups equipped with the
compact-open topology, then $M$ is holomorphically equivalent to $\Delta^n$.
| math.CV | we prove a characterization theorem for the unit polydisc deltansubsetccn in the spirit of a recent result due to kodama and shimizu we show that if m is a connected ndimensional complex manifold such that i the group hboxautm of holomorphic automorphisms of m acts on m with compact isotropy subgroups and ii hboxautm and hboxautdeltan are isomorphic as topological groups equipped with the compactopen topology then m is holomorphically equivalent to deltan | [['we', 'prove', 'a', 'characterization', 'theorem', 'for', 'the', 'unit', 'polydisc', 'deltansubsetccn', 'in', 'the', 'spirit', 'of', 'a', 'recent', 'result', 'due', 'to', 'kodama', 'and', 'shimizu', 'we', 'show', 'that', 'if', 'm', 'is', 'a', 'connected', 'ndimensional', 'complex', 'manifold', 'such', 'that', 'i', 'the', 'group', 'hboxautm', 'of', 'holomorphic', 'automorphisms', 'of', 'm', 'acts', 'on', 'm', 'with', 'compact', 'isotropy', 'subgroups', 'and', 'ii', 'hboxautm', 'and', 'hboxautdeltan', 'are', 'isomorphic', 'as', 'topological', 'groups', 'equipped', 'with', 'the', 'compactopen', 'topology', 'then', 'm', 'is', 'holomorphically', 'equivalent', 'to', 'deltan']] | [-0.19530148191404514, 0.08629484893079253, -0.07277664083285608, 0.006011938110189647, -0.11797677662115598, -0.13342019595016819, -0.0013734465329975321, 0.38907658837843634, -0.278558485749839, -0.21301957479664596, 0.10476767136445404, -0.2829930639245372, -0.18195283566297882, 0.17756074179719755, -0.16828717584924205, -0.06727867047099964, 0.05134534456537686, 0.12532339876760606, -0.08174214337655492, -0.2614698731475442, 0.437174538332645, -0.049734995039044945, 0.20198446178835802, 0.027335032928681027, 0.11657122580631488, -0.0018505749859563682, -0.01820112253282813, 0.04436192658824333, -0.1442818569799335, 0.10199369691258324, 0.2529425996666153, 0.0759959342295601, 0.19783739158647487, -0.36654780188278446, -0.1561592970772282, 0.18838258811772085, 0.09989322031775584, -0.09314281378697226, -0.005062226690284476, -0.30493298054173373, 0.13614974083189946, -0.11944298563606065, -0.16526379865472732, -0.061364020052217486, 0.09802346591554258, 0.001514545982649577, -0.23510985021088002, -0.02889029052702413, 0.1589871775763838, 0.039405524190785225, -0.06758148233284769, -0.051014269560413515, -0.11035470349336232, 0.07957015490915248, -0.03238205315437222, 0.14250498580530394, 0.12010332381865685, 0.012080827525452427, -0.09128361762555288, 0.3891950312232518, -0.10442939311589884, -0.23617328688556302, 0.15002871891888586, -0.18597934521275802, -0.19155571361382803, 0.05955894304898338, 0.09634413340709348, 0.14731661775621815, 0.023528110735334347, 0.24731271589542672, -0.14025171950081552, 0.08528925823992577, 0.05386903997429687, 0.0063076766538501215, 0.09690054117337517, 0.11964271997061113, 0.1579962841478055, 0.10165117237635929, 0.021129275189604665, 0.01324974630108994, -0.3385560887231343, -0.23055774653735367, -0.17650408990195263, 0.21541363937591296, -0.07859075509380394, -0.1494854065400643, 0.3379061472183768, 0.0041278395464346895, 0.21845267807551916, 0.11107951142163812, 0.19967922674950914, 0.003818491036814732, 0.06321232748366352, 0.1335950828683765, 0.08590275875252226, 0.26248715375212656, -0.05611730360871424, -0.12563392516745228, -0.06698273688359051, 0.1716165111427182] |
711.4649 | Hierarchical pinning models, quadratic maps and quenched disorder | We consider a hierarchical model of polymer pinning in presence of quenched
disorder, introduced by B. Derrida, V. Hakim and J. Vannimenius in 1992, which
can be re-interpreted as an infinite dimensional dynamical system with random
initial condition (the disorder). It is defined through a recurrence relation
for the law of a random variable {R_n}_{n=1,2,...}, which in absence of
disorder (i.e., when the initial condition is degenerate) reduces to a
particular case of the well-known Logistic Map. The large-n limit of the
sequence of random variables 2^{-n} log R_n, a non-random quantity which is
naturally interpreted as a free energy, plays a central role in our analysis.
The model depends on a parameter alpha>0, related to the geometry of the
hierarchical lattice, and has a phase transition in the sense that the free
energy is positive if the expectation of R_0 is larger than a certain threshold
value, and it is zero otherwise. It was conjectured by Derrida et al. (1992)
that disorder is relevant (respectively, irrelevant or marginally relevant) if
1/2<alpha<1 (respectively, alpha<1/2 or alpha=1/2), in the sense that an
arbitrarily small amount of randomness in the initial condition modifies the
critical point with respect to that of the pure (i.e., non-disordered) model if
alpha is larger or equal to 1/2, but not if alpha is smaller than 1/2. Our main
result is a proof of these conjectures for the case alpha different from 1/2.
We emphasize that for alpha>1/2 we find the correct scaling form (for weak
disorder) of the critical point shift.
| math.PR math-ph math.MP | we consider a hierarchical model of polymer pinning in presence of quenched disorder introduced by b derrida v hakim and j vannimenius in 1992 which can be reinterpreted as an infinite dimensional dynamical system with random initial condition the disorder it is defined through a recurrence relation for the law of a random variable r_n_n12 which in absence of disorder ie when the initial condition is degenerate reduces to a particular case of the wellknown logistic map the largen limit of the sequence of random variables 2n log r_n a nonrandom quantity which is naturally interpreted as a free energy plays a central role in our analysis the model depends on a parameter alpha0 related to the geometry of the hierarchical lattice and has a phase transition in the sense that the free energy is positive if the expectation of r_0 is larger than a certain threshold value and it is zero otherwise it was conjectured by derrida et al 1992 that disorder is relevant respectively irrelevant or marginally relevant if 12alpha1 respectively alpha12 or alpha12 in the sense that an arbitrarily small amount of randomness in the initial condition modifies the critical point with respect to that of the pure ie nondisordered model if alpha is larger or equal to 12 but not if alpha is smaller than 12 our main result is a proof of these conjectures for the case alpha different from 12 we emphasize that for alpha12 we find the correct scaling form for weak disorder of the critical point shift | [['we', 'consider', 'a', 'hierarchical', 'model', 'of', 'polymer', 'pinning', 'in', 'presence', 'of', 'quenched', 'disorder', 'introduced', 'by', 'b', 'derrida', 'v', 'hakim', 'and', 'j', 'vannimenius', 'in', '1992', 'which', 'can', 'be', 'reinterpreted', 'as', 'an', 'infinite', 'dimensional', 'dynamical', 'system', 'with', 'random', 'initial', 'condition', 'the', 'disorder', 'it', 'is', 'defined', 'through', 'a', 'recurrence', 'relation', 'for', 'the', 'law', 'of', 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711.465 | A Classification of Hidden-Variable Properties | Hidden variables are extra components added to try to banish counterintuitive
features of quantum mechanics. We start with a quantum-mechanical model and
describe various properties that can be asked of a hidden-variable model. We
present six such properties and a Venn diagram of how they are related. With
two existence theorems and three no-go theorems (EPR, Bell, and
Kochen-Specker), we show which properties of empirically equivalent
hidden-variable models are possible and which are not. Formally, our treatment
relies only on classical probability models, and physical phenomena are used
only to motivate which models to choose.
| quant-ph | hidden variables are extra components added to try to banish counterintuitive features of quantum mechanics we start with a quantummechanical model and describe various properties that can be asked of a hiddenvariable model we present six such properties and a venn diagram of how they are related with two existence theorems and three nogo theorems epr bell and kochenspecker we show which properties of empirically equivalent hiddenvariable models are possible and which are not formally our treatment relies only on classical probability models and physical phenomena are used only to motivate which models to choose | [['hidden', 'variables', 'are', 'extra', 'components', 'added', 'to', 'try', 'to', 'banish', 'counterintuitive', 'features', 'of', 'quantum', 'mechanics', 'we', 'start', 'with', 'a', 'quantummechanical', 'model', 'and', 'describe', 'various', 'properties', 'that', 'can', 'be', 'asked', 'of', 'a', 'hiddenvariable', 'model', 'we', 'present', 'six', 'such', 'properties', 'and', 'a', 'venn', 'diagram', 'of', 'how', 'they', 'are', 'related', 'with', 'two', 'existence', 'theorems', 'and', 'three', 'nogo', 'theorems', 'epr', 'bell', 'and', 'kochenspecker', 'we', 'show', 'which', 'properties', 'of', 'empirically', 'equivalent', 'hiddenvariable', 'models', 'are', 'possible', 'and', 'which', 'are', 'not', 'formally', 'our', 'treatment', 'relies', 'only', 'on', 'classical', 'probability', 'models', 'and', 'physical', 'phenomena', 'are', 'used', 'only', 'to', 'motivate', 'which', 'models', 'to', 'choose']] | [-0.052964091104896444, 0.1255430725501164, -0.14782005124970488, 0.14031035550624915, -0.11785625776177959, -0.2401022781593431, 0.05740731785466012, 0.37645089096928896, -0.23397676010675864, -0.3161870720698253, 0.09843648350184882, -0.28369450235837385, -0.17818736664362644, 0.16955379148651112, -0.09035964007734468, 0.07151195078377465, 0.024467542914575653, 0.01077896112478093, -0.03926457722463008, -0.28964862472524766, 0.31872790569047393, -0.03810826462178834, 0.22788855736388972, 0.026991935792428097, 0.08337743586713546, -0.025308178502478098, 4.507026291991535e-05, 0.05692681965271109, -0.1288552163099092, 0.12057359193598753, 0.2429474049152448, 0.18691275165857454, 0.2210824158728907, -0.44541216335798567, -0.21705764107602207, 0.129097450387321, 0.07735803545648723, 0.13300293974308788, 0.02702930756280885, -0.27605374392710236, 0.05735537534285533, -0.14493744738988187, -0.12857867935182232, -0.16660619294761042, -0.030305243754073192, 0.02687842528286733, -0.22539847682867395, 0.07555957691449867, 0.10504473962968117, 0.025578768345478335, -0.027046303902017444, -0.08052823684104768, -0.009524022928733182, 0.11096222449682261, 0.024843098710928307, -0.058339668438451266, 0.10320917694388251, -0.11644003625321937, -0.2112495370454302, 0.3680344841982189, 9.424759957351183e-05, -0.2402158724438203, 0.26864504291626967, -0.0874328816603673, -0.1811188508756459, 0.01661444348528197, 0.1030434005550648, 0.1123447044997623, -0.1742283005049869, 0.03466248110451393, -0.08625428300154836, 0.17427977897888539, 0.04215569296410601, 0.09875182083464767, 0.2286592673706381, 0.06471029785216639, -0.031889446435793375, 0.11320317864883692, -0.026237154563300703, -0.15897228265928692, -0.35800933357034076, -0.14191372734249422, -0.13724188655859937, 0.07790286899559616, -0.04456964756613352, -0.14194779781330574, 0.3893411802225991, 0.22788879379911936, 0.19078341299962057, 0.028810725247144307, 0.2155615418561195, 0.08693909867250017, 0.03538351840290584, 0.040644574670219105, 0.24088387600097216, 0.16338794758837474, 0.02479794169040887, -0.12478289991421135, 0.0722438681674631, 0.07827737765680802] |
711.4651 | Singularities in fidelity surfaces for quantum phase transitions: a
geometric perspective | The fidelity per site between two ground states of a quantum lattice system
corresponding to different values of the control parameter defines a surface
embedded in a Euclidean space. The Gaussian curvature naturally quantifies
quantum fluctuations that destroy orders at transition points. It turns out
that quantum fluctuations wildly distort the fidelity surface near the
transition points, at which the Gaussian curvature is singular in the
thermodynamic limit. As a concrete example, the one-dimensional quantum Ising
model in a transverse field is analyzed. We also perform a finite size scaling
analysis for the transverse Ising model of finite sizes. The scaling behavior
for the Gaussian curvature is numerically checked and the correlation length
critical exponent is extracted, which is consistent with the conformal
invariance at the critical point.
| cond-mat.stat-mech cond-mat.str-el | the fidelity per site between two ground states of a quantum lattice system corresponding to different values of the control parameter defines a surface embedded in a euclidean space the gaussian curvature naturally quantifies quantum fluctuations that destroy orders at transition points it turns out that quantum fluctuations wildly distort the fidelity surface near the transition points at which the gaussian curvature is singular in the thermodynamic limit as a concrete example the onedimensional quantum ising model in a transverse field is analyzed we also perform a finite size scaling analysis for the transverse ising model of finite sizes the scaling behavior for the gaussian curvature is numerically checked and the correlation length critical exponent is extracted which is consistent with the conformal invariance at the critical point | [['the', 'fidelity', 'per', 'site', 'between', 'two', 'ground', 'states', 'of', 'a', 'quantum', 'lattice', 'system', 'corresponding', 'to', 'different', 'values', 'of', 'the', 'control', 'parameter', 'defines', 'a', 'surface', 'embedded', 'in', 'a', 'euclidean', 'space', 'the', 'gaussian', 'curvature', 'naturally', 'quantifies', 'quantum', 'fluctuations', 'that', 'destroy', 'orders', 'at', 'transition', 'points', 'it', 'turns', 'out', 'that', 'quantum', 'fluctuations', 'wildly', 'distort', 'the', 'fidelity', 'surface', 'near', 'the', 'transition', 'points', 'at', 'which', 'the', 'gaussian', 'curvature', 'is', 'singular', 'in', 'the', 'thermodynamic', 'limit', 'as', 'a', 'concrete', 'example', 'the', 'onedimensional', 'quantum', 'ising', 'model', 'in', 'a', 'transverse', 'field', 'is', 'analyzed', 'we', 'also', 'perform', 'a', 'finite', 'size', 'scaling', 'analysis', 'for', 'the', 'transverse', 'ising', 'model', 'of', 'finite', 'sizes', 'the', 'scaling', 'behavior', 'for', 'the', 'gaussian', 'curvature', 'is', 'numerically', 'checked', 'and', 'the', 'correlation', 'length', 'critical', 'exponent', 'is', 'extracted', 'which', 'is', 'consistent', 'with', 'the', 'conformal', 'invariance', 'at', 'the', 'critical', 'point']] | [-0.16034122616110835, 0.21588561858789035, -0.10844600143536809, 0.09527464460643387, 0.012396788691603433, -0.16368800512282178, 0.028651228138187435, 0.31807702659898496, -0.2560501058760565, -0.20712509200529894, 0.06834309828718688, -0.3065712234492821, -0.11741680381237529, 0.171769344263339, 0.02928734654778964, 0.09687443630548387, -0.01371037698299915, 0.0876529366178147, -0.11923917557032837, -0.2158014728629496, 0.32207307589305856, 0.04613903610879788, 0.33589356132870307, 0.05327427958036424, 0.08879376997720101, 0.0013403165557974717, 0.08720789470680756, 0.0603613587225027, -0.17043925905147717, 0.035776848302248254, 0.21237016533450515, -0.02202411488542566, 0.2337930757948925, -0.3354327698907582, -0.24722893558100623, 0.1205401598890603, 0.129587368648572, 0.1256065138422855, 0.032341106356398086, -0.27749297885202395, 0.07490124204377935, -0.09993637343723094, -0.1863545671076281, -0.06467368449739297, -0.0007938069056763197, -0.040819578078298946, -0.25897122052992927, 0.09602673139465878, 0.055088502980652265, 0.09830990067712264, -0.020530072990368353, -0.05579223867516703, -0.052573453587683616, 0.12754282862442778, 0.011254296856350265, 0.06505647322774166, 0.17250293110919301, -0.12112916975456756, -0.0956154673981473, 0.33692457581673807, -0.05523668704154261, -0.2216681431964389, 0.13052197989782144, -0.16046716969503905, -0.0996612009475939, 0.15250883438056917, 0.14127713390917052, 0.054278759394946974, -0.09115125101379817, 0.12804972583353447, -0.0058879874559352174, 0.17704696284545207, 0.034149278137192596, 0.025532592146191746, 0.250106468629383, 0.11877299541811226, 0.0743937198567437, 0.2024740135348111, -0.1146883421788516, -0.21551864793582354, -0.367997557259514, -0.15818524654605426, -0.2606061151091126, 0.09260495109720068, -0.17588694219364243, -0.20036074744712096, 0.3890293369149731, 0.14282079146630622, 0.23506904923851835, 0.059591149585685343, 0.2520149835036136, 0.14499047831395728, 0.05676246685470687, 0.08840785792472161, 0.20812783608016616, 0.13708656397557206, 0.07580932830114762, -0.24749136375976377, 0.010980350907630054, 0.08417926336369419] |
711.4652 | Ramifications of the Nuclear Symmetry Energy for Neutron Stars, Nuclei,
and Heavy-Ion Collisions | The pervasive role of the nuclear symmetry energy in establishing some
nuclear static and dynamical properties, and in governing some attributes of
neutron star properties is highlighted.
| nucl-th | the pervasive role of the nuclear symmetry energy in establishing some nuclear static and dynamical properties and in governing some attributes of neutron star properties is highlighted | [['the', 'pervasive', 'role', 'of', 'the', 'nuclear', 'symmetry', 'energy', 'in', 'establishing', 'some', 'nuclear', 'static', 'and', 'dynamical', 'properties', 'and', 'in', 'governing', 'some', 'attributes', 'of', 'neutron', 'star', 'properties', 'is', 'highlighted']] | [-0.13352473535471493, 0.15449975817291825, -0.09002133215674096, 0.12299639243994737, -0.1047166899467508, 0.004302800128546854, -0.015736892681430886, 0.345724747688682, -0.26858972254450675, -0.2940004266522549, 0.10814345540927241, -0.2764532549513711, -0.11084065884696664, 0.15630940803223187, 0.019389005170928106, 0.0574113244742707, -0.036756150976375294, 0.09477613805965693, -0.11983237077516538, -0.12976401040968658, 0.38957278927167255, 0.056844170998643945, 0.21770254908888428, 0.14502625300169544, 0.01563980582135695, 0.0251206759173699, -0.07012987226523736, -0.0058418869006413, -0.15062844746366696, 0.06926170650317713, 0.2758173870647119, 0.128616896647684, 0.23833574518492376, -0.4889606616149346, -0.22690791629806714, 0.07842436494926612, 0.06891346907381106, 0.053861481723962004, -0.19241117196226562, -0.2689690065604669, 0.08569361531624088, -0.1758576693634192, -0.2090343261068618, -0.10710622563406273, 0.048303510579797954, 0.10700198042171973, -0.1745229987082658, 0.10765234073968949, 0.125173965894781, 0.07501573232864892, -0.17859123743794583, -0.12026965471536473, -0.02480125344461865, 0.1525935368327838, 0.07425107236917096, -0.035060145547268565, 0.20846933527004527, -0.28966662460179243, -0.04409384851654371, 0.4295075957973798, 0.08859356494913637, -0.11469380971458223, 0.1792955620697251, -0.16763272477934757, -0.24314855646204064, 0.04267239438680311, 0.12184349481982214, 0.10834479004282642, -0.20326494073702228, 0.06255266159617652, 0.016560680750343535, 0.1573456326947996, 0.026524136049879923, 0.18930599184844782, 0.24753797633780372, 0.21743838699465548, 0.0024066666762034097, 0.09442759574287468, -0.07897795391855417, -0.1828479495037485, -0.23891546803147154, -0.10996413782790855, -0.10096380362908046, 0.06324146084349465, -0.1395122769312433, -0.09277438703510496, 0.4092271852272528, 0.05471957350770632, 0.15307770496993153, -0.14376571822773526, 0.2105984523616455, 0.05627304184491987, 0.03994941168154279, 0.07463286001304234, 0.2853340071699306, 0.2728762392092634, 0.09249196073937195, -0.37408542358833885, 0.10406516557904305, 0.05592531221056426] |
711.4653 | Phase reduction of stochastic limit cycle oscillators | We point out that the phase reduction of stochastic limit cycle oscillators
has been done incorrectly in the literature. We present a correct phase
reduction method for oscillators driven by weak external white Gaussian noises.
Numerical evidence demonstrates that the present phase equation properly
approximates the dynamics of the original full oscillator system.
| nlin.AO | we point out that the phase reduction of stochastic limit cycle oscillators has been done incorrectly in the literature we present a correct phase reduction method for oscillators driven by weak external white gaussian noises numerical evidence demonstrates that the present phase equation properly approximates the dynamics of the original full oscillator system | [['we', 'point', 'out', 'that', 'the', 'phase', 'reduction', 'of', 'stochastic', 'limit', 'cycle', 'oscillators', 'has', 'been', 'done', 'incorrectly', 'in', 'the', 'literature', 'we', 'present', 'a', 'correct', 'phase', 'reduction', 'method', 'for', 'oscillators', 'driven', 'by', 'weak', 'external', 'white', 'gaussian', 'noises', 'numerical', 'evidence', 'demonstrates', 'that', 'the', 'present', 'phase', 'equation', 'properly', 'approximates', 'the', 'dynamics', 'of', 'the', 'original', 'full', 'oscillator', 'system']] | [-0.1776958459917948, 0.09523023304722782, -0.10585318442504361, 0.04365549113531158, -0.0030999582366279836, -0.11824918160531318, 0.12423825948411282, 0.3645595035181855, -0.2075799508196003, -0.23545588941295753, 0.08365442521896495, -0.2739558942475409, -0.23621998094725158, 0.17818656254489468, -0.06619889348007317, 0.07964656701452046, 0.11450166079514432, -0.028528839392578758, -0.041098856586822365, -0.228699435339362, 0.28090032657502956, 0.05162514384203362, 0.2700304202735424, -0.1031926275353949, 0.16872283556270148, -0.03329671131675395, -0.01266588235519967, 0.03280395610293128, -0.10124316571839373, -0.028767595840793737, 0.18952441165434583, 0.046726231915735696, 0.27980063954051937, -0.4256366714835167, -0.3039665872863722, 0.14093403609574967, 0.15580274436989677, 0.2106741761683293, -0.04987882628580028, -0.2912681636242372, 0.04052630619514944, -0.17809891099777986, -0.1656837928249448, -0.1251717471596697, 0.0023875339132434915, 0.03311911578518602, -0.2205903825683976, 0.11378199371667404, 0.13929718193369653, 0.06674448927899576, -0.042475937461515643, -0.0999630414858847, -0.004564991115399127, 0.12341006890044741, -0.02673818670951252, 0.02516916261564167, 0.1234807509682932, -0.05558622962320751, -0.06967909012938726, 0.3269198694066496, -0.1485415008753749, -0.193134820134871, 0.11871769785758038, -0.13015627241605576, -0.1335395133860831, 0.18911227323817756, 0.10339600065687918, 0.043946369937708916, -0.20753486081957817, 0.09975287875266008, 0.03381160818883833, 0.2177908986412595, 0.00888015607477359, -0.037924795095228926, 0.16256139842125605, 0.19226797826847342, 0.04755849220772397, 0.21380961495715212, -0.06891342937805743, -0.18158414214849472, -0.3101236646256919, -0.07084402860195008, -0.1913578428002953, 0.046629901580020505, -0.0801832614760881, -0.16234779494972723, 0.3624087191397711, 0.18661330201012907, 0.1189904271291112, -0.0187628817445827, 0.3120775969945035, 0.22052759144736347, -0.0352113893692698, 0.03332329578346239, 0.2918000936086448, 0.1789104578849631, 0.13778658201566563, -0.25573378697670296, 0.024741969176761386, 0.08576509785258545] |
711.4654 | Comment on "Onset of Boson Mode at the Superconducting Critical Point of
Underdoped YBa2Cu3Oy" | In a recent Letter [Phys. Rev. Lett. 97, 207001 (2006)], Doiron-Leyraud et
al. reported a study of low-temperature thermal conductivity of underdoped
YBa2Cu3Oy across the superconductor-insulator boundary and argued for a novel
bosonic mode as well as charge-neutral fermions. In this Comment, we show that
both of these claims are dubious.
| cond-mat.supr-con cond-mat.str-el | in a recent letter phys rev lett 97 207001 2006 doironleyraud et al reported a study of lowtemperature thermal conductivity of underdoped yba2cu3oy across the superconductorinsulator boundary and argued for a novel bosonic mode as well as chargeneutral fermions in this comment we show that both of these claims are dubious | [['in', 'a', 'recent', 'letter', 'phys', 'rev', 'lett', '97', '207001', '2006', 'doironleyraud', 'et', 'al', 'reported', 'a', 'study', 'of', 'lowtemperature', 'thermal', 'conductivity', 'of', 'underdoped', 'yba2cu3oy', 'across', 'the', 'superconductorinsulator', 'boundary', 'and', 'argued', 'for', 'a', 'novel', 'bosonic', 'mode', 'as', 'well', 'as', 'chargeneutral', 'fermions', 'in', 'this', 'comment', 'we', 'show', 'that', 'both', 'of', 'these', 'claims', 'are', 'dubious']] | [-0.11909567705337323, 0.17168497431146748, -0.005176831867691933, -0.11630854395209063, -0.05984795279800892, -0.09274427564449463, 0.1563529452929894, 0.31337499043301625, -0.07411601514254204, -0.3097639976105854, -0.060622345464413654, -0.3205147798209652, -0.2469620376222712, 0.16826669045486578, -0.1599787015687017, 0.06737938715035424, -0.047894072280648875, -0.1082601182107978, -0.04307658975377825, -0.29216997511684895, 0.15216601062018206, 0.08214497124301452, 0.3711597739773638, 0.12621166858383837, -0.002882013471760586, 0.019957330671376457, -0.0067326672256504206, 0.01335520174938674, -0.2376978626965794, -0.04778332340841492, 0.27501542833359804, -0.04739796050696397, 0.1968943741647344, -0.39690856357999876, -0.2935907181681079, 0.02269866299249378, 0.09362030419174071, 0.16547399523722775, -0.012053586104336907, -0.331253303726222, 0.006924898377345765, -0.2282536161387814, -0.10965835022415929, -0.13719419338831715, 0.10986353451495662, -0.07609840980091807, -0.25868824180489514, 0.2324774823717627, 0.08502730279053818, 0.0679932226627773, -0.016130287684134992, -0.11961072157411014, -0.05295956028424496, -0.10973250136400263, 0.00432936502072741, 0.07239850910435267, 0.08247718230510752, -0.04920932343320958, -0.19178781488581614, 0.3003796389253408, -0.04929641697683609, -0.029360920519513244, 0.2554510333666615, -0.14542278514115833, -0.1541813978578384, 0.035460975459393335, 0.10606640332615842, 0.15138948727033885, -0.18172376924285702, 0.13313162403395765, -0.17646892500046057, 0.12020124914581139, 0.12788425898179412, 0.08445323299726143, 0.24619589493993452, 0.13919677141387307, -0.12253851987713692, 0.11788214421739765, -0.11279877147399912, -0.051534355970729584, -0.286253951782105, -0.23499917569478937, -0.23554649193230195, 0.09157446542681724, 0.09134043409864592, -0.1947573845950412, 0.3419686064270197, 0.22621746335689927, 0.2897159119008803, -0.07580430887459193, 0.1574714847602973, 0.057062548818066716, -0.06904908497909121, 0.1672181256626751, 0.2996420508853215, 0.14651625117688788, 0.16161508268366256, -0.2662296778358081, -0.04089639883479286, 0.006022358623643716] |
711.4655 | GRAvitational COSmology (GRACOS) code release announcement, for version
1.0.1a9 | This is to announce a recent release of version 1.0.1a9 of parallel load
balanced adaptive P3M cosmological N-body code named GRACOS. The code has been
under development over years and is available for the download at
http://www.gracos.org. GRACOS features: embedded script environment,
cosmological initial conditions generator including non-gaussian initial
conditions, particle data imager, mass density power spectrum estimator,
particle position and velocity integrator with a choice between KDK and DKD
integration schemes with Plummer force softening, file input and output with
four supported serial and one dynamic distributed data format, standard
installation procedure, and version specific documentation. GRACOS is released
under the GNU General Public License (GPL). High efficiency is achieved with a
number of implemented techniques such as timer-based load balancing using
Hilbert space filling curve, adaptive P3M method for short range force
computation, run-level compression in interprocessor communication, dynamic
allocation for irregular domains and various sorting algorithms.
| astro-ph | this is to announce a recent release of version 101a9 of parallel load balanced adaptive p3m cosmological nbody code named gracos the code has been under development over years and is available for the download at httpwwwgracosorg gracos features embedded script environment cosmological initial conditions generator including nongaussian initial conditions particle data imager mass density power spectrum estimator particle position and velocity integrator with a choice between kdk and dkd integration schemes with plummer force softening file input and output with four supported serial and one dynamic distributed data format standard installation procedure and version specific documentation gracos is released under the gnu general public license gpl high efficiency is achieved with a number of implemented techniques such as timerbased load balancing using hilbert space filling curve adaptive p3m method for short range force computation runlevel compression in interprocessor communication dynamic allocation for irregular domains and various sorting algorithms | [['this', 'is', 'to', 'announce', 'a', 'recent', 'release', 'of', 'version', '101a9', 'of', 'parallel', 'load', 'balanced', 'adaptive', 'p3m', 'cosmological', 'nbody', 'code', 'named', 'gracos', 'the', 'code', 'has', 'been', 'under', 'development', 'over', 'years', 'and', 'is', 'available', 'for', 'the', 'download', 'at', 'httpwwwgracosorg', 'gracos', 'features', 'embedded', 'script', 'environment', 'cosmological', 'initial', 'conditions', 'generator', 'including', 'nongaussian', 'initial', 'conditions', 'particle', 'data', 'imager', 'mass', 'density', 'power', 'spectrum', 'estimator', 'particle', 'position', 'and', 'velocity', 'integrator', 'with', 'a', 'choice', 'between', 'kdk', 'and', 'dkd', 'integration', 'schemes', 'with', 'plummer', 'force', 'softening', 'file', 'input', 'and', 'output', 'with', 'four', 'supported', 'serial', 'and', 'one', 'dynamic', 'distributed', 'data', 'format', 'standard', 'installation', 'procedure', 'and', 'version', 'specific', 'documentation', 'gracos', 'is', 'released', 'under', 'the', 'gnu', 'general', 'public', 'license', 'gpl', 'high', 'efficiency', 'is', 'achieved', 'with', 'a', 'number', 'of', 'implemented', 'techniques', 'such', 'as', 'timerbased', 'load', 'balancing', 'using', 'hilbert', 'space', 'filling', 'curve', 'adaptive', 'p3m', 'method', 'for', 'short', 'range', 'force', 'computation', 'runlevel', 'compression', 'in', 'interprocessor', 'communication', 'dynamic', 'allocation', 'for', 'irregular', 'domains', 'and', 'various', 'sorting', 'algorithms']] | [-0.16432618979080063, 0.03693339048186317, -0.08820987215343241, 0.03302763379340629, -0.08960861224719945, -0.23365365844802, -0.02698531547988144, 0.43269520628059077, -0.25469783490471953, -0.3621298809302971, 0.14961070799795884, -0.18832850130274892, -0.03646728640402822, 0.2398464223774176, -0.07400902404636629, 0.11946780448003362, 0.17875014131681788, -0.023495478403573442, -0.017218860496238147, -0.29245746569762965, 0.24571300135721685, 0.15174761190751773, 0.3188187177470859, -0.008274777373218158, 0.11792761842985379, 0.039979015861818984, -0.07324442927751483, -0.022373988778377277, -0.14083145654068277, 0.052385301290390394, 0.23383348039189716, 0.19031174667017897, 0.27122279660963816, -0.37175214303553933, -0.19331181791817975, 0.044089775674769446, 0.07956559433660004, 0.07992271251148647, -0.08061161906031582, -0.24347283722211918, 0.0677827002816937, -0.24172667378378618, -0.08694874753968583, -0.05608659862466286, 0.009766509717640778, 0.05697857495397329, -0.3185430641104985, 0.05574068058437357, -0.029304700082826055, 0.1266310672718747, -0.057949489637394436, -0.1018033530134643, -0.004608542439301446, 0.08884186875932049, -0.010307568642626089, 0.04823234932134963, 0.177876766564926, -0.09753681037465059, -0.08618579700770271, 0.4040670125784042, -0.04406213603821622, -0.18326824327232316, 0.15418790590532203, -0.023875920050260093, -0.143087893986376, 0.1297682645963505, 0.1984210550177118, 0.04111775750384873, -0.17155848749098368, 0.09764796600332677, 0.02969980834839387, 0.21865417649193356, 0.11770449993976702, 0.00495947597482882, 0.13545301476389998, 0.17747820082068858, 0.06548261157392214, 0.15371141051744214, -0.09972523844893051, -0.11580637342720163, -0.2614301598126379, -0.12337082656287951, -0.18931931132748206, -0.005366617082876878, -0.10204347849513498, -0.16841214033775032, 0.3423471664395442, 0.10094588066092708, 0.06688930322545478, 0.08734705665847287, 0.3826552448380325, 0.011086488575124854, 0.10476174577747265, 0.1841635906538512, 0.06955256065783841, 0.05812260883006578, 0.17494218365997463, -0.17706752261842162, 0.04823152997818801, 0.06293886477134139] |
711.4656 | A condition number analysis of an algorithm for solving a system of
polynomial equations with one degree of freedom | This article considers the problem of solving a system of $n$ real polynomial
equations in $n+1$ variables. We propose an algorithm based on Newton's method
and subdivision for this problem. Our algorithm is intended only for
nondegenerate cases, in which case the solution is a 1-dimensional curve. Our
first main contribution is a definition of a condition number measuring
reciprocal distance to degeneracy that can distinguish poor and well
conditioned instances of this problem. (Degenerate problems would be infinitely
ill conditioned in our framework.) Our second contribution, which is the main
novelty of our algorithm, is an analysis showing that its running time is
bounded in terms of the condition number of the problem instance as well as $n$
and the polynomial degrees.
| cs.CG cs.NA | this article considers the problem of solving a system of n real polynomial equations in n1 variables we propose an algorithm based on newtons method and subdivision for this problem our algorithm is intended only for nondegenerate cases in which case the solution is a 1dimensional curve our first main contribution is a definition of a condition number measuring reciprocal distance to degeneracy that can distinguish poor and well conditioned instances of this problem degenerate problems would be infinitely ill conditioned in our framework our second contribution which is the main novelty of our algorithm is an analysis showing that its running time is bounded in terms of the condition number of the problem instance as well as n and the polynomial degrees | [['this', 'article', 'considers', 'the', 'problem', 'of', 'solving', 'a', 'system', 'of', 'n', 'real', 'polynomial', 'equations', 'in', 'n1', 'variables', 'we', 'propose', 'an', 'algorithm', 'based', 'on', 'newtons', 'method', 'and', 'subdivision', 'for', 'this', 'problem', 'our', 'algorithm', 'is', 'intended', 'only', 'for', 'nondegenerate', 'cases', 'in', 'which', 'case', 'the', 'solution', 'is', 'a', '1dimensional', 'curve', 'our', 'first', 'main', 'contribution', 'is', 'a', 'definition', 'of', 'a', 'condition', 'number', 'measuring', 'reciprocal', 'distance', 'to', 'degeneracy', 'that', 'can', 'distinguish', 'poor', 'and', 'well', 'conditioned', 'instances', 'of', 'this', 'problem', 'degenerate', 'problems', 'would', 'be', 'infinitely', 'ill', 'conditioned', 'in', 'our', 'framework', 'our', 'second', 'contribution', 'which', 'is', 'the', 'main', 'novelty', 'of', 'our', 'algorithm', 'is', 'an', 'analysis', 'showing', 'that', 'its', 'running', 'time', 'is', 'bounded', 'in', 'terms', 'of', 'the', 'condition', 'number', 'of', 'the', 'problem', 'instance', 'as', 'well', 'as', 'n', 'and', 'the', 'polynomial', 'degrees']] | [-0.13731509147446633, 0.04784771006737033, -0.08609939342018262, 0.03508325129637601, -0.08431015049326952, -0.12957200382616582, 0.02560431668837744, 0.29772362480984954, -0.31070470481702106, -0.31985465180492256, 0.11997588035627836, -0.2521923994153314, -0.19599879687894287, 0.20511533881393754, -0.10334615049717145, 0.05576839170000342, 0.08258319496199852, 0.05740130096636107, -0.014215535517144055, -0.301415387141647, 0.32654765896059995, 0.0023604220733409974, 0.2259949714501911, 0.07086317394140774, 0.13671851060845383, -0.010036601675522885, 0.0038226860560234485, 0.025621555158186385, -0.04822477919858316, 0.09473038222016085, 0.24765942360054913, 0.15066290526022394, 0.30252641339491054, -0.3478968742765426, -0.15934299985779737, 0.1613333861275417, 0.1686683892597997, 0.12404246191206442, -0.0037621980243385204, -0.23278978538729736, 0.08303586833512153, -0.10818511869273777, -0.16069022071646238, -0.01767305859432715, 0.010903503832869171, -0.0032613021662322487, -0.30963073888172704, 0.06933487698102628, 0.1078621737367466, 0.00532985537699083, -0.05185275618838737, -0.11313074546567035, 0.05760693392428622, 0.10292604725762475, 0.04163103117380382, 0.0478139165258868, 0.04458690035285625, -0.08706488065909958, -0.11014083398854345, 0.4078082233455365, -0.045232681343634805, -0.24720793217420578, 0.14093769943091747, -0.09721367518849126, -0.15381207106998418, 0.08974393710827197, 0.1637451079677851, 0.22328843236181553, -0.12258672754363559, 0.11433131333556011, -0.09848326134184997, 0.16845435072190879, 0.033881059590333364, -0.024654860661281804, 0.1261597963881005, 0.18741522594620058, 0.12390025804572685, 0.16270385018447642, -0.02891266351277993, -0.09163136691672773, -0.3542824678304719, -0.17500989408822867, -0.243296438207229, 0.03680796443761092, -0.09788629800288055, -0.17624348275575455, 0.38928541783394854, 0.13914758271378716, 0.20448450507156976, 0.10713717657353396, 0.3328285714974854, 0.14774633828755013, -0.015667145772708384, 0.0714801273070185, 0.16142991756853775, 0.1095654627486185, 0.06456110317911196, -0.21115317758067692, 0.08250274431202712, 0.12121859127577542] |
711.4657 | Icons | Categorical orthodoxy has it that collections of ordinary mathematical
structures such as groups, rings, or spaces, form categories (such as the
category of groups); collections of 1-dimensional categorical structures, such
as categories, monoidal categories, or categories with finite limits, form
2-categories; and collections of 2-dimensional categorical structures, such as
2-categories or bicategories, form 3-categories.
We describe a useful way in which to regard bicategories as objects of a
2-category. This is a bit surprising both for technical and for conceptual
reasons. The 2-cells of this 2-category are the crucial new ingredient; they
are the icons of the title. These can be thought of as ``the oplax natural
transformations whose components are identities'', but we shall also give a
more elementary description.
We describe some properties of these icons, and give applications to monoidal
categories, to 2-nerves of bicategories, to 2-dimensional Lawvere theories, and
to bundles of bicategories.
| math.CT | categorical orthodoxy has it that collections of ordinary mathematical structures such as groups rings or spaces form categories such as the category of groups collections of 1dimensional categorical structures such as categories monoidal categories or categories with finite limits form 2categories and collections of 2dimensional categorical structures such as 2categories or bicategories form 3categories we describe a useful way in which to regard bicategories as objects of a 2category this is a bit surprising both for technical and for conceptual reasons the 2cells of this 2category are the crucial new ingredient they are the icons of the title these can be thought of as the oplax natural transformations whose components are identities but we shall also give a more elementary description we describe some properties of these icons and give applications to monoidal categories to 2nerves of bicategories to 2dimensional lawvere theories and to bundles of bicategories | [['categorical', 'orthodoxy', 'has', 'it', 'that', 'collections', 'of', 'ordinary', 'mathematical', 'structures', 'such', 'as', 'groups', 'rings', 'or', 'spaces', 'form', 'categories', 'such', 'as', 'the', 'category', 'of', 'groups', 'collections', 'of', '1dimensional', 'categorical', 'structures', 'such', 'as', 'categories', 'monoidal', 'categories', 'or', 'categories', 'with', 'finite', 'limits', 'form', '2categories', 'and', 'collections', 'of', '2dimensional', 'categorical', 'structures', 'such', 'as', '2categories', 'or', 'bicategories', 'form', '3categories', 'we', 'describe', 'a', 'useful', 'way', 'in', 'which', 'to', 'regard', 'bicategories', 'as', 'objects', 'of', 'a', '2category', 'this', 'is', 'a', 'bit', 'surprising', 'both', 'for', 'technical', 'and', 'for', 'conceptual', 'reasons', 'the', '2cells', 'of', 'this', '2category', 'are', 'the', 'crucial', 'new', 'ingredient', 'they', 'are', 'the', 'icons', 'of', 'the', 'title', 'these', 'can', 'be', 'thought', 'of', 'as', 'the', 'oplax', 'natural', 'transformations', 'whose', 'components', 'are', 'identities', 'but', 'we', 'shall', 'also', 'give', 'a', 'more', 'elementary', 'description', 'we', 'describe', 'some', 'properties', 'of', 'these', 'icons', 'and', 'give', 'applications', 'to', 'monoidal', 'categories', 'to', '2nerves', 'of', 'bicategories', 'to', '2dimensional', 'lawvere', 'theories', 'and', 'to', 'bundles', 'of', 'bicategories']] | [-0.1121521668312497, 0.061554391802629865, -0.06669172730092725, 0.18421338718266494, -0.1329599474170022, -0.11113128744780201, -0.019293439506763616, 0.40332842398792096, -0.370506186947252, -0.25858653346331767, 0.09292237560682585, -0.21473762462856902, -0.1492899962344481, 0.15980452771995485, -0.2253393808328738, -0.08780180441521823, 0.032942763608657076, 0.08697407080294335, -0.05066464230723596, -0.2583089036969085, 0.45513152477350594, -0.029729911269722124, 0.22894074667678915, 0.0032703466968585365, 0.08960778091727972, -0.04138997524708816, -0.007738885335378629, 0.04948464822827851, -0.08925309742280411, 0.1630031571385438, 0.3943903973096446, 0.11884819452127773, 0.16525259957415983, -0.41137036501289637, -0.09891458023148142, 0.1295039731792289, 0.11816233563976847, 0.09463974477464894, -0.03329480039994376, -0.3560870175237117, 0.07861728448905561, -0.2420209807260855, -0.04663032829946494, -0.16091477309596047, 0.08985282499215579, 0.04662360635598841, -0.18840786400418538, -0.05736160221248897, 0.13941224038318653, 0.11839454297027359, -0.07843327145044347, -0.10188739770411016, -0.037981375656409626, 0.15717462118721426, -0.015271023025876549, -0.05040648817531254, 0.1586452028012439, -0.1587752020130036, -0.16023577699335675, 0.4522648005657, 0.0076925205130589334, -0.21309794522566747, 0.24645265615353845, -0.0765551425714352, -0.18190941197019428, 0.08854158016317205, 0.06821503619701691, 0.12631066182613523, -0.08971412499014238, 0.09150883647747185, -0.1479593020710737, 0.0606848924988498, 0.13697517950291913, 0.1334824921046575, 0.2253234832968614, 0.13646205711857837, -0.01152707594140849, 0.138275931062247, 0.045168867889689664, -0.03925777499186041, -0.3761391506517587, -0.24134849288424298, 0.007488713810245877, 0.13387330994568128, -0.04384733289950655, -0.24187400494861633, 0.33357605305085697, 0.11575354731718257, 0.18049019711787417, 0.13404573451437388, 0.2303166514109463, -0.011682895284898784, 0.10704726986555153, -0.04419218596670624, 0.0836645850398632, 0.2483484621912445, 0.03667312217812526, 0.05290588021456991, -0.004362762542058752, 0.17544623653959382] |
711.4658 | Systematic changes of the electronic structure of the diluted
ferromagnetic oxide Li-doped Ni$_{1-x}$Fe$_x$O with hole doping | The electronic structure of Li-doped Ni$_{1-x}$Fe$_x$O has been investigated
using photoemission spectroscopy (PES) and x-ray absorption spectroscopy (XAS).
The Ni $2p$ core-level PES and XAS spectra were not changed by Li doping. In
contrast, the Fe$^{3+}$ intensity increased with Li doping relative to the
Fe$^{2+}$ intensity. However, the increase of Fe$^{3+}$ is only $\sim 5%$ of
the doped Li content, suggesting that most of the doped holes enter the O $2p$
and/or the charge-transferred configuration Ni $3d^8\underline{L}$. The Fe 3d
partial density of states and the host valence-band emission near valence-band
maximum increased with Li content, consistent with the increase of electrical
conductivity. Based on these findings, percolation of bound magnetic polarons
is proposed as an origin of the ferromagnetic behavior.
| cond-mat.mtrl-sci cond-mat.str-el | the electronic structure of lidoped ni_1xfe_xo has been investigated using photoemission spectroscopy pes and xray absorption spectroscopy xas the ni 2p corelevel pes and xas spectra were not changed by li doping in contrast the fe3 intensity increased with li doping relative to the fe2 intensity however the increase of fe3 is only sim 5 of the doped li content suggesting that most of the doped holes enter the o 2p andor the chargetransferred configuration ni 3d8underlinel the fe 3d partial density of states and the host valenceband emission near valenceband maximum increased with li content consistent with the increase of electrical conductivity based on these findings percolation of bound magnetic polarons is proposed as an origin of the ferromagnetic behavior | [['the', 'electronic', 'structure', 'of', 'lidoped', 'ni_1xfe_xo', 'has', 'been', 'investigated', 'using', 'photoemission', 'spectroscopy', 'pes', 'and', 'xray', 'absorption', 'spectroscopy', 'xas', 'the', 'ni', '2p', 'corelevel', 'pes', 'and', 'xas', 'spectra', 'were', 'not', 'changed', 'by', 'li', 'doping', 'in', 'contrast', 'the', 'fe3', 'intensity', 'increased', 'with', 'li', 'doping', 'relative', 'to', 'the', 'fe2', 'intensity', 'however', 'the', 'increase', 'of', 'fe3', 'is', 'only', 'sim', '5', 'of', 'the', 'doped', 'li', 'content', 'suggesting', 'that', 'most', 'of', 'the', 'doped', 'holes', 'enter', 'the', 'o', '2p', 'andor', 'the', 'chargetransferred', 'configuration', 'ni', '3d8underlinel', 'the', 'fe', '3d', 'partial', 'density', 'of', 'states', 'and', 'the', 'host', 'valenceband', 'emission', 'near', 'valenceband', 'maximum', 'increased', 'with', 'li', 'content', 'consistent', 'with', 'the', 'increase', 'of', 'electrical', 'conductivity', 'based', 'on', 'these', 'findings', 'percolation', 'of', 'bound', 'magnetic', 'polarons', 'is', 'proposed', 'as', 'an', 'origin', 'of', 'the', 'ferromagnetic', 'behavior']] | [-0.04888227027880043, 0.1616108730610728, 0.07523834752310224, 0.014988355743581382, 0.03550742348624753, -0.16626224508743828, 0.12840695418378323, 0.4394919295020464, -0.22587501742200097, -0.3449200978893943, -0.057627929371640775, -0.45826405108350665, -0.06554025701568031, 0.09117037377187184, 0.03798984880598277, -0.014313997038514862, -0.021483578296581738, -0.09371926404238373, -0.10568662419985636, -0.2312270915399877, 0.2766304429612678, 0.11638252997473508, 0.2892561630510232, 0.1442554324567944, -0.06367656955996356, 0.033126230488586074, 0.10800443210506014, 0.037780273882300444, -0.10574986765919568, 0.1336739769869703, 0.2618815516329081, -0.008664517696680767, 0.16412102516169244, -0.43067391551717993, -0.22106718948891604, -0.07484691932077418, 0.15715424048405202, 0.10307908646699761, -0.10346756925505093, -0.2633286609212641, 0.059373973485301525, -0.10606188314552066, -0.11535822380991544, -0.039608483586241215, 0.01055371097656859, 0.0345628498520256, -0.2194837808179544, 0.09030893801891503, 0.0478730054307233, 0.1357185663674966, -0.20850848494794125, -0.14963745750768595, -0.21159256592064218, 0.018176905243430568, 0.04349095197864065, 0.05706749607695408, 0.17497986101960183, -0.03046365372226143, -0.09752833044954709, 0.32753784610193315, -0.059966387457073424, 0.03417363999990605, 0.15467296243535683, -0.2487826369538465, -0.08985537715146646, 0.2584249421508059, 0.02215715983741674, 0.1395710161806401, -0.07360046826539748, 0.11179026229035094, -0.008951130433657653, 0.2816475453021537, 0.07721393121242084, 0.10686145688821914, 0.19968516874995804, 0.14941429465465217, 0.00041338621380449344, 0.05886123255834359, -0.21920053920896426, 0.05811664585352821, -0.09715630114078522, -0.19310393509848295, -0.2387993022478616, 0.06534227052081802, -0.09150752443084083, -0.1880156828301857, 0.35436549796448913, 0.07809811438426, 0.21690270175155596, -0.14354157015806487, 0.2087546934569883, 0.13988293693185697, 0.026232173599834954, 0.03572391697103862, 0.2695485666519454, 0.2289355526866094, 0.16651563414082932, -0.3637875205868495, 0.16428049051539362, 0.020824130143218933] |
711.4659 | Underlying Determinism, Stationary Phase and Quantum Mechnics | In a newly introduced time scale $\tau$, much smaller than the usual $t$, any
object is assumed to be a point-like particle, having a definite position. It
fluctuates without dynamics and the wave function $\Psi$ is defined by
averaging the square root of the density. In $t$-scale, the Schr$\ddot{\rm
o}$dinger equation holds and for a macrovariable just a classical path is
picked up as a peak of $\Psi$ by the stationary phase, which is the observable
signal. In the measuring process, the stationary phase branches into many but
one branch is selected by underlying determinism, leading to the correct
detection probability.
| quant-ph | in a newly introduced time scale tau much smaller than the usual t any object is assumed to be a pointlike particle having a definite position it fluctuates without dynamics and the wave function psi is defined by averaging the square root of the density in tscale the schrddotrm odinger equation holds and for a macrovariable just a classical path is picked up as a peak of psi by the stationary phase which is the observable signal in the measuring process the stationary phase branches into many but one branch is selected by underlying determinism leading to the correct detection probability | [['in', 'a', 'newly', 'introduced', 'time', 'scale', 'tau', 'much', 'smaller', 'than', 'the', 'usual', 't', 'any', 'object', 'is', 'assumed', 'to', 'be', 'a', 'pointlike', 'particle', 'having', 'a', 'definite', 'position', 'it', 'fluctuates', 'without', 'dynamics', 'and', 'the', 'wave', 'function', 'psi', 'is', 'defined', 'by', 'averaging', 'the', 'square', 'root', 'of', 'the', 'density', 'in', 'tscale', 'the', 'schrddotrm', 'odinger', 'equation', 'holds', 'and', 'for', 'a', 'macrovariable', 'just', 'a', 'classical', 'path', 'is', 'picked', 'up', 'as', 'a', 'peak', 'of', 'psi', 'by', 'the', 'stationary', 'phase', 'which', 'is', 'the', 'observable', 'signal', 'in', 'the', 'measuring', 'process', 'the', 'stationary', 'phase', 'branches', 'into', 'many', 'but', 'one', 'branch', 'is', 'selected', 'by', 'underlying', 'determinism', 'leading', 'to', 'the', 'correct', 'detection', 'probability']] | [-0.13659593889256938, 0.18718195852765349, -0.12750965110957624, 0.0816107654066036, -0.060646141646429896, -0.1402509644557722, 0.025215697390958667, 0.305958972517401, -0.27484307150065435, -0.276429894072935, 0.10053534289589151, -0.27250013350509106, -0.07668770291609689, 0.14567623145063407, -0.0020073341717943547, 0.053342873849906026, 0.01749584703706205, 0.11848357813898475, -0.07445574655430391, -0.17608890927629545, 0.29008128253743054, 0.049796581510454414, 0.22822026151232422, -0.028938082170207054, 0.14565656920429318, 0.02364902735222131, -0.012056224980915431, 0.01685602232813835, -0.08222061611711978, 0.012665920834406279, 0.1829390273662284, 0.10107173267286271, 0.2782393473014235, -0.3565577638335526, -0.2107986638508737, 0.14472104619257153, 0.1293197487387806, 0.0826978301804047, -0.012453178688883782, -0.3091989099048078, 0.07107296198373661, -0.10542711710208096, -0.17060791326453909, 0.03092201178893447, 0.07650349708972498, 0.011563254105858504, -0.25608562301844356, 0.10930565816815943, 0.07712363099679351, -0.012809972364921122, -0.015950423385947942, -0.10358732313849033, -0.042374800126999616, 0.10196386128198355, 0.018647620537958574, 0.126788006456336, 0.13000332993920893, -0.13455661264248192, -0.08357028615660965, 0.387050263453275, -0.06833663340032217, -0.22889227918349206, 0.13294429413042963, -0.17702937078196557, -0.06665346933994443, 0.19646951952949165, 0.09381949624978006, 0.11822327257075813, -0.16609577829018235, 0.09263334178249352, -0.004868914891121676, 0.17785108781419695, 0.09540924278553575, 0.001780122914351523, 0.19421311338177474, 0.15047057214193046, 0.09040963182167616, 0.11831130789942108, -0.09369092838373035, -0.13449262701440604, -0.31043054001405834, -0.1616382682370022, -0.22744228716939688, 0.07398130518427934, -0.08135795693349791, -0.1782009389437735, 0.39661555831320583, 0.10227399348455947, 0.2150509100058116, 0.052280890258261936, 0.26896822795504705, 0.21112623012508266, 0.09443656467832624, 0.06040552995633334, 0.21283290807623417, 0.11904422434978187, 0.07555622588843107, -0.17900411897804588, 0.09214064546395093, 0.06908835435984656] |
711.466 | First principles study of Sc, Ti and V doped Na$_n$(n =4, 5, 6)
clusters: Enhanced magnetic moments | Theoretical studies on the geometry, electronic structure and spin
multiplicity of Sc, Ti and V doped Na$_n$ (n = 4, 5, 6) clusters have been
carried out within a gradient corrected density functional approach. Two
complementary approaches including all-electron calculations on free clusters,
and supercell calculations using planewave pseudopotential and projector
augmented wave formalisms have been carried out. It is shown that spin magnetic
moments of the transition metal atoms, the magnitude of host polarization, and
the sign of the host polarization all change with the number of alkali atoms.
In particular the transition metal atoms are shown to attain spin moments that
are higher than their atomic values. The role of hybridization between the
transition atom d-states and the alkali $sp$-states is highlighted to account
for the evolutions in the spin moments and host polarization.
| cond-mat.mtrl-sci cond-mat.other | theoretical studies on the geometry electronic structure and spin multiplicity of sc ti and v doped na_n n 4 5 6 clusters have been carried out within a gradient corrected density functional approach two complementary approaches including allelectron calculations on free clusters and supercell calculations using planewave pseudopotential and projector augmented wave formalisms have been carried out it is shown that spin magnetic moments of the transition metal atoms the magnitude of host polarization and the sign of the host polarization all change with the number of alkali atoms in particular the transition metal atoms are shown to attain spin moments that are higher than their atomic values the role of hybridization between the transition atom dstates and the alkali spstates is highlighted to account for the evolutions in the spin moments and host polarization | [['theoretical', 'studies', 'on', 'the', 'geometry', 'electronic', 'structure', 'and', 'spin', 'multiplicity', 'of', 'sc', 'ti', 'and', 'v', 'doped', 'na_n', 'n', '4', '5', '6', 'clusters', 'have', 'been', 'carried', 'out', 'within', 'a', 'gradient', 'corrected', 'density', 'functional', 'approach', 'two', 'complementary', 'approaches', 'including', 'allelectron', 'calculations', 'on', 'free', 'clusters', 'and', 'supercell', 'calculations', 'using', 'planewave', 'pseudopotential', 'and', 'projector', 'augmented', 'wave', 'formalisms', 'have', 'been', 'carried', 'out', 'it', 'is', 'shown', 'that', 'spin', 'magnetic', 'moments', 'of', 'the', 'transition', 'metal', 'atoms', 'the', 'magnitude', 'of', 'host', 'polarization', 'and', 'the', 'sign', 'of', 'the', 'host', 'polarization', 'all', 'change', 'with', 'the', 'number', 'of', 'alkali', 'atoms', 'in', 'particular', 'the', 'transition', 'metal', 'atoms', 'are', 'shown', 'to', 'attain', 'spin', 'moments', 'that', 'are', 'higher', 'than', 'their', 'atomic', 'values', 'the', 'role', 'of', 'hybridization', 'between', 'the', 'transition', 'atom', 'dstates', 'and', 'the', 'alkali', 'spstates', 'is', 'highlighted', 'to', 'account', 'for', 'the', 'evolutions', 'in', 'the', 'spin', 'moments', 'and', 'host', 'polarization']] | [-0.10596520983468075, 0.16388315248386517, -0.016523296169853256, 0.04462173627515727, 0.03504686275802886, -0.1001655538253653, 0.05378046883756656, 0.4394970321888799, -0.18866834478146993, -0.32166041374734755, -0.02858575346094292, -0.37018722550137273, -0.06433263380573924, 0.11972962277976157, 0.1364328292521662, 0.01991934149185936, -0.0038637250397743576, -0.02629035724146264, -0.1563363334879891, -0.23979536779902513, 0.27143090266956765, 0.03440367727220726, 0.28156766485085766, 0.06329276043584627, 0.03053354489297342, -0.0073881103386129465, 0.056261779997609, 0.04745026408875389, -0.11009047139462504, 0.09850130378661344, 0.2369886006892367, -0.010275906129086862, 0.2048971980841441, -0.48856540566393686, -0.1974337533839158, 0.01238609338352985, 0.12651387417911372, 0.15914604516978786, -0.06897501154879192, -0.2720638081681595, 0.029915569628130145, -0.16299732279644083, -0.1259938918380762, -0.11873881995622347, 0.04648076167761056, 0.04597360117416551, -0.22697789494318318, 0.062212788374788726, 0.03261557492816737, 0.09616417205732215, -0.08005267342747148, -0.2186152990386168, -0.0936090962252399, 0.0545864178088438, 0.02021507519547508, 0.054081471760256856, 0.164180441667437, -0.04556108041755063, -0.08913331663708633, 0.3909265189084099, -0.03960310566161304, -0.13487202329508988, 0.1564692411773296, -0.20554349660428603, -0.10257725138912227, 0.14858946469508166, 0.0994011782858618, 0.11747535186430523, -0.09751401250224574, 0.08773183836228103, 0.018737380433790283, 0.1763541946272755, 0.08075984156822591, 0.08405044251260584, 0.23958402925601868, 0.12311555615299617, 0.026619046620691, 0.05890226245287861, -0.14368738399457132, -0.09899058418153826, -0.1821835810846802, -0.1751533501517417, -0.2297121522359119, 0.036012720678383035, -0.06657447409566315, -0.15824420021893804, 0.382666552974495, 0.14129543241891843, 0.1308134031610619, -0.07803499220467325, 0.23366369572190096, 0.1105683205454652, 0.07909676825815339, 0.02023325136814044, 0.279014436090226, 0.23718844617216556, 0.03974562604414689, -0.2987003687616271, 0.06322723543514679, 0.03853716654268635] |
711.4661 | Caldero-Keller approach to the denominators of cluster variables | Buan, Marsh and Reiten proved that if a cluster-tilting object $T$ in a
cluster category $\mathcal C$ associated to an acyclic quiver $Q$ satisfies
certain conditions with respect to the exchange pairs in $\mathcal C$, then the
denominator in its reduced form of every cluster variable in the cluster
algebra associated to $Q$ has exponents given by the dimension vector of the
corresponding module over the endomorphism algebra of $T$. In this paper, we
give an alternative proof of this result using the Caldero-Keller approach to
acyclic cluster algebras and the work of Palu on cluster characters.
| math.RT | buan marsh and reiten proved that if a clustertilting object t in a cluster category mathcal c associated to an acyclic quiver q satisfies certain conditions with respect to the exchange pairs in mathcal c then the denominator in its reduced form of every cluster variable in the cluster algebra associated to q has exponents given by the dimension vector of the corresponding module over the endomorphism algebra of t in this paper we give an alternative proof of this result using the calderokeller approach to acyclic cluster algebras and the work of palu on cluster characters | [['buan', 'marsh', 'and', 'reiten', 'proved', 'that', 'if', 'a', 'clustertilting', 'object', 't', 'in', 'a', 'cluster', 'category', 'mathcal', 'c', 'associated', 'to', 'an', 'acyclic', 'quiver', 'q', 'satisfies', 'certain', 'conditions', 'with', 'respect', 'to', 'the', 'exchange', 'pairs', 'in', 'mathcal', 'c', 'then', 'the', 'denominator', 'in', 'its', 'reduced', 'form', 'of', 'every', 'cluster', 'variable', 'in', 'the', 'cluster', 'algebra', 'associated', 'to', 'q', 'has', 'exponents', 'given', 'by', 'the', 'dimension', 'vector', 'of', 'the', 'corresponding', 'module', 'over', 'the', 'endomorphism', 'algebra', 'of', 't', 'in', 'this', 'paper', 'we', 'give', 'an', 'alternative', 'proof', 'of', 'this', 'result', 'using', 'the', 'calderokeller', 'approach', 'to', 'acyclic', 'cluster', 'algebras', 'and', 'the', 'work', 'of', 'palu', 'on', 'cluster', 'characters']] | [-0.1512349941088663, 0.056830288900073356, -0.07839870895259082, -0.009926411562143281, -0.0915690748054961, -0.13858350788844595, 0.016329095321755933, 0.3569964387412862, -0.3776205966278212, -0.20398825414607322, 0.05043132307158279, -0.21319228096399456, -0.11917995164306679, 0.15706367565629384, -0.1538040314335376, -0.051961798080810695, 0.08695010686399958, 0.17627143824938685, -0.04234884290538806, -0.31648468523538514, 0.40237834951888846, 0.006532203471579123, 0.20081770304871802, 0.0009505313476741625, 0.130390521735535, 0.04974548293102998, -0.01806493282977802, 0.008476870634088604, -0.1757879850548155, 0.1255565248623801, 0.2710510576022595, 0.11570503245214543, 0.21642260481530684, -0.30211565340475016, -0.0491092819890279, 0.174859903146474, 0.1716740707779536, 0.0015155414585024118, 0.007305222829018021, -0.273093818492877, 0.17046480449304605, -0.2741071720374748, -0.14377952001814265, 0.00023604147524262467, 0.16138562187552452, -0.007734132076924046, -0.2791760927066207, 0.012942623967925707, 0.10243106631484504, 0.10729718724178383, -0.11424230630048744, -0.10185691534328119, -0.09195424200152047, 0.0461350027944718, -0.06660369184101, 0.12280716079112608, 0.08833937726194563, -0.13804262913860535, -0.15119503483583685, 0.3204226800541316, -0.014007749346395334, -0.18363305672149485, 0.15571727380544567, -0.14787647388584446, -0.19286466716827513, 0.07787178126939882, 0.05359658433978135, 0.12274224128729354, -0.06709217408206314, 0.210260164107846, -0.12336000942741521, 0.06996361447575812, 0.09105207686661743, -0.009084801912346544, 0.11583928340890755, 0.06353678255012103, 0.045016944568487816, 0.1810856413358124, 0.007334350784124884, 0.004496808219604039, -0.3393832192280873, -0.17504689128448567, -0.1240005482880709, 0.09098232975035596, -0.13017226741036816, -0.16644750755707113, 0.34847759778252413, 0.12604710259862864, 0.22715360319125466, 0.10284994783190389, 0.16223228424011418, 0.09666471049422398, 0.10771345066071565, 0.0672940333626381, 0.08238587400410324, 0.2761707615015136, 0.01724570220176247, -0.17417333176126704, 0.019170936803372268, 0.20087016168933283] |
711.4662 | On statistical methods of structure function extraction | Several methods of statistical analysis are proposed and analyzed in
application for a specific task -- extraction of the structure functions from
the cross sections of deep inelastic interactions of any type. We formulate the
method based on the orthogonal weight functions and on an optimization
procedure of errors minimization as well as methods underlying common $\chi^2$
minimization. Effectiveness of these methods usage is analyzed by comparison of
the statistical parameters such as bias, extraction variance etc., for sample
deep inelastic scattering data set.
| hep-ph | several methods of statistical analysis are proposed and analyzed in application for a specific task extraction of the structure functions from the cross sections of deep inelastic interactions of any type we formulate the method based on the orthogonal weight functions and on an optimization procedure of errors minimization as well as methods underlying common chi2 minimization effectiveness of these methods usage is analyzed by comparison of the statistical parameters such as bias extraction variance etc for sample deep inelastic scattering data set | [['several', 'methods', 'of', 'statistical', 'analysis', 'are', 'proposed', 'and', 'analyzed', 'in', 'application', 'for', 'a', 'specific', 'task', 'extraction', 'of', 'the', 'structure', 'functions', 'from', 'the', 'cross', 'sections', 'of', 'deep', 'inelastic', 'interactions', 'of', 'any', 'type', 'we', 'formulate', 'the', 'method', 'based', 'on', 'the', 'orthogonal', 'weight', 'functions', 'and', 'on', 'an', 'optimization', 'procedure', 'of', 'errors', 'minimization', 'as', 'well', 'as', 'methods', 'underlying', 'common', 'chi2', 'minimization', 'effectiveness', 'of', 'these', 'methods', 'usage', 'is', 'analyzed', 'by', 'comparison', 'of', 'the', 'statistical', 'parameters', 'such', 'as', 'bias', 'extraction', 'variance', 'etc', 'for', 'sample', 'deep', 'inelastic', 'scattering', 'data', 'set']] | [-0.041103259545290864, -0.043203704298792285, -0.0726817883754497, 0.12849336899171795, -0.05504793222679431, -0.08928418622340963, 0.06242090475279838, 0.4105514858860567, -0.29197177721793394, -0.3285836470145059, 0.10768045335643397, -0.2930346156908087, -0.15600581592824087, 0.23960740338023528, -0.01653784509546247, 0.14391913941601314, 0.09557380163705492, 0.02143475260159158, -0.1053757158680314, -0.23316096982088344, 0.34065723143158905, 0.06424537764410544, 0.3526632255392082, 0.044931832252137635, 0.09669766945523177, 0.10988679200379986, -0.0681740821294307, 0.01255154784162899, -0.10200800615396485, 0.15369431347114942, 0.27131596761923954, 0.18675543757222862, 0.27038880007016103, -0.3813162153268181, -0.21806349782609796, 0.08563155054215746, 0.1408757961983512, 0.08293033597699132, -0.028770489884675086, -0.2418941326147641, 0.02826673529217446, -0.14314793585519114, -0.03489528854478555, -0.1575439347526485, -0.04419224708150309, 0.08617670017193599, -0.2721712729614508, 0.10406859940358337, 0.02485862293095519, 0.09371016397847827, -0.09306541462821594, -0.2209927132465394, 0.02517167689188956, 0.08792675870010652, 0.06598550944970584, -0.01818295964320381, 0.14799747318141612, -0.13718429677951408, -0.15382325974663338, 0.3433856506753399, -0.05303520175168313, -0.2160575873252139, 0.15468200322251813, -0.01262721252706216, -0.1453338286710387, 0.11401149572198649, 0.25196834540847374, 0.13405203767659435, -0.19700955102537163, 0.047816925753659784, -0.004594707917646471, 0.14070515928184052, 0.033186309897980416, 0.009769715854045317, 0.11261556071442473, 0.23449822873191303, 0.020416568779577333, 0.1112887745509934, -0.15384604345378747, -0.05256444296563964, -0.3243415750877326, -0.08181429462484925, -0.201326483400561, 0.0008581970237666763, -0.11119013670123609, -0.16914464643292398, 0.37252890982900755, 0.13319214301885818, 0.23595493940456982, 0.036453534332833375, 0.3664054794753172, 0.11285306480225787, 0.099985333041748, 0.02285495984959921, 0.20300020250570344, 0.13428181361867092, 0.040376699058316555, -0.2229110940376364, 0.0821369053751752, 0.06844458567449846] |
711.4663 | Noncommutative Superspace and Super Heisenberg Group | In this paper, we consider noncommutative superspace in relation with super
Heisenberg group. We construct a matrix representation of super Heisenberg
group and apply this to the two-dimensional deformed N=(2,2) superspace that
appeared in string theory. We also construct a toy model for non-centrally
extended `super Heisenberg group'.
| hep-th math-ph math.MP | in this paper we consider noncommutative superspace in relation with super heisenberg group we construct a matrix representation of super heisenberg group and apply this to the twodimensional deformed n22 superspace that appeared in string theory we also construct a toy model for noncentrally extended super heisenberg group | [['in', 'this', 'paper', 'we', 'consider', 'noncommutative', 'superspace', 'in', 'relation', 'with', 'super', 'heisenberg', 'group', 'we', 'construct', 'a', 'matrix', 'representation', 'of', 'super', 'heisenberg', 'group', 'and', 'apply', 'this', 'to', 'the', 'twodimensional', 'deformed', 'n22', 'superspace', 'that', 'appeared', 'in', 'string', 'theory', 'we', 'also', 'construct', 'a', 'toy', 'model', 'for', 'noncentrally', 'extended', 'super', 'heisenberg', 'group']] | [-0.06897142322850414, 0.1398410604839834, -0.07358360340973984, 0.12075352992299788, -0.11519600575168927, -0.1345599806518294, -0.04198992955692423, 0.39194171235430986, -0.22463905418408103, -0.1685397525676914, 0.12249292428168701, -0.24678621970815584, -0.25850593122110394, 0.08887280274939258, -0.11488475984272857, -0.06317507439719823, -0.023374097344155114, 0.12226534045961064, -0.2056939183336605, -0.2474968192060866, 0.33391637266807567, -0.015562764271938553, 0.23212963252444752, -0.09564488524726282, 0.12348582424844305, 0.09224531988729723, 0.025378590954157215, 0.003014267267038425, -0.16380172000284196, 0.2031956823047949, 0.26134861540049314, -0.00926199578680098, 0.07398745390431334, -0.47167449615274865, -0.21689830693261078, 0.09174487230484374, 0.206738755844223, 0.13171118559936681, -0.05940794787602499, -0.2779921219625976, -0.010002259790780954, -0.32830441432694596, -0.21941833211652315, -0.08988478533865418, 0.016449667896570947, -0.16196270019281656, -0.18658487048620978, 0.0849216013878807, 0.02321100754973789, 0.07998434267938137, -0.045415101340040565, -0.0028766190710787973, 0.03054047152788068, 0.04970774343625332, -0.04931599390207945, 0.07066494109070239, 0.04992754104508398, -0.10026540220133029, -0.18126602113867799, 0.40419486941148836, -0.10327160486485809, -0.24621895514428616, 0.10535939916735515, -0.20896095099548498, -0.3001023442096387, -0.055900151220460735, 0.13651497794004777, 0.1179453720881914, -0.12423210256383754, 0.262995891621055, -0.16559198456040272, 0.12457853740973708, 0.02962067558352525, -0.047400546968371295, 0.1306397427494327, 0.15251178113976493, 0.03827179867463807, 0.2137893825614204, 0.005166846123756841, -0.1326212496884788, -0.3926116203268369, -0.19403580665190626, -0.08726605662377551, 0.12431171311375995, -0.11114014477516321, -0.15072729190190634, 0.34837296678839874, 0.12643749064106183, 0.1368319083364137, 0.08539335575187579, 0.07771131577707517, 0.1065534121201684, 0.054139787350626044, 0.04440321937242212, 0.18213239383961385, 0.2674671925293903, -0.0035598522905881205, -0.1850168933548654, -0.26402326581592206, 0.26208825877013925] |
711.4664 | Instabilities in elastomers and soft tissues | Biological soft tissues exhibit elastic properties which can be dramatically
different from rubber-type materials (elastomers). To gain a better
understanding of the role of constitutive relationships in determining material
responses under loads we compare three different types of instabilities (two in
compression, one in extension) in hyperelasticity for various forms of strain
energy functions typically used for elastomers and for soft tissues.
Surprisingly, we find that the strain-hardening property of soft tissues does
not always stabilize the material. In particular we show that the stability
analyses for a compressed half-space and for a compressed spherical thick shell
can lead to opposite conclusions: a soft tissue material is more stable than an
elastomer in the former case and less stable in the latter case.
| cond-mat.soft | biological soft tissues exhibit elastic properties which can be dramatically different from rubbertype materials elastomers to gain a better understanding of the role of constitutive relationships in determining material responses under loads we compare three different types of instabilities two in compression one in extension in hyperelasticity for various forms of strain energy functions typically used for elastomers and for soft tissues surprisingly we find that the strainhardening property of soft tissues does not always stabilize the material in particular we show that the stability analyses for a compressed halfspace and for a compressed spherical thick shell can lead to opposite conclusions a soft tissue material is more stable than an elastomer in the former case and less stable in the latter case | [['biological', 'soft', 'tissues', 'exhibit', 'elastic', 'properties', 'which', 'can', 'be', 'dramatically', 'different', 'from', 'rubbertype', 'materials', 'elastomers', 'to', 'gain', 'a', 'better', 'understanding', 'of', 'the', 'role', 'of', 'constitutive', 'relationships', 'in', 'determining', 'material', 'responses', 'under', 'loads', 'we', 'compare', 'three', 'different', 'types', 'of', 'instabilities', 'two', 'in', 'compression', 'one', 'in', 'extension', 'in', 'hyperelasticity', 'for', 'various', 'forms', 'of', 'strain', 'energy', 'functions', 'typically', 'used', 'for', 'elastomers', 'and', 'for', 'soft', 'tissues', 'surprisingly', 'we', 'find', 'that', 'the', 'strainhardening', 'property', 'of', 'soft', 'tissues', 'does', 'not', 'always', 'stabilize', 'the', 'material', 'in', 'particular', 'we', 'show', 'that', 'the', 'stability', 'analyses', 'for', 'a', 'compressed', 'halfspace', 'and', 'for', 'a', 'compressed', 'spherical', 'thick', 'shell', 'can', 'lead', 'to', 'opposite', 'conclusions', 'a', 'soft', 'tissue', 'material', 'is', 'more', 'stable', 'than', 'an', 'elastomer', 'in', 'the', 'former', 'case', 'and', 'less', 'stable', 'in', 'the', 'latter', 'case']] | [-0.07658829684579195, 0.16581616477125236, -0.09210397240889, 0.0539339413288141, -0.06212004141301894, -0.1254651320747054, -0.01724177874914813, 0.42851521590816194, -0.27932017888171506, -0.23927923420169314, 0.08396043989246284, -0.25603817033745563, -0.19974952364783186, 0.20618691022095623, -0.0631580724515456, 0.03586124278391238, -0.0075911866187809325, -0.018794459567527424, -0.06445859760794116, -0.15305773609272036, 0.26521646632950324, 0.015513358173937704, 0.3344016188114393, 0.02100985732118477, 0.03605965636746927, 0.000937772184785944, 0.06090880217809291, 0.05776123013194712, -0.11764686332014103, 0.11227647296809515, 0.28136489761718475, 0.017109883433879643, 0.23168365658856319, -0.5191608423474016, -0.2711927012128175, 0.10090884829291188, 0.126355533169384, 0.0767014394924579, -0.036287439561121695, -0.14624563100763033, 0.09704053692794481, -0.16133090107487974, -0.13054982768219026, -0.09660248444644642, 0.007011051847958235, 0.005446975806453189, -0.2533992321085429, 0.10208669844556784, 0.10441869014843566, 0.03786079267127684, -0.1672752390111812, -0.11314813607967779, -0.026202639918888875, 0.09251393420530148, 0.08723497528727854, -0.052259390540115656, 0.18628929465337365, -0.22337445392288635, -0.02914773440465606, 0.39581657273572735, 0.009434104959464243, -0.20993125536402718, 0.2328631267463025, -0.1265801116976826, -0.12361507675778426, 0.17113840047911297, 0.19006787091646282, 0.09511927054950693, -0.1428262850758238, -0.008457807153673292, -0.003018092034865537, 0.2114122789543977, 0.12799519367638182, 0.006069921422749758, 0.1777852844278954, 0.18430301425100656, 0.01060873643327199, 0.20357893756877052, -0.048385524336004355, -0.04984058685157998, -0.2634136575793267, -0.1746592790987648, -0.11724454467566531, 0.009466060340050493, -0.13537249329357243, -0.2036510490674953, 0.3657153112523746, 0.1055072531501045, 0.17712077897587852, 0.003834858896462705, 0.24551555337231667, 0.020084565441452394, 0.08214883532634647, 0.016059316538243752, 0.3371466731377801, 0.0973229761785049, 0.09434611904511198, -0.16607164380285644, 0.1061900431065072, 0.014967516154340912] |
711.4665 | Gauge theories with overlap fermions in an arbitrary representation:
Evaluation of the 3-loop beta-function | This work presents the calculation of the relation between the bare coupling
constant g_0 and the MSbar-renormalized coupling g_MS, g_0 = Z_g(g_0,a\mu)
g_MS, to 2 loops in perturbation theory, with fermions in an arbitrary
representation of the gauge group SU(N). Our calculation is performed using
overlap fermions and Wilson gluons, and the background field technique has been
chosen for convenience. The corresponding results in the fundamental
representation appear in our longer publication [arXiv:0709.4368].
The 3-loop coefficient of the bare beta-function, b_2^L, is extracted using
the 2-loop expression for Z_g, and it is presented as a function of the overlap
parameter rho, the number of fermion flavors (N_f) and the number of colors
(N). We also provide the expression for the ratio Lambda_L/Lambda_MS, in an
arbitrary representation. A plot of Lambda_L/Lambda_MS is given in the adjoint
representation.
| hep-lat | this work presents the calculation of the relation between the bare coupling constant g_0 and the msbarrenormalized coupling g_ms g_0 z_gg_0amu g_ms to 2 loops in perturbation theory with fermions in an arbitrary representation of the gauge group sun our calculation is performed using overlap fermions and wilson gluons and the background field technique has been chosen for convenience the corresponding results in the fundamental representation appear in our longer publication arxiv07094368 the 3loop coefficient of the bare betafunction b_2l is extracted using the 2loop expression for z_g and it is presented as a function of the overlap parameter rho the number of fermion flavors n_f and the number of colors n we also provide the expression for the ratio lambda_llambda_ms in an arbitrary representation a plot of lambda_llambda_ms is given in the adjoint representation | [['this', 'work', 'presents', 'the', 'calculation', 'of', 'the', 'relation', 'between', 'the', 'bare', 'coupling', 'constant', 'g_0', 'and', 'the', 'msbarrenormalized', 'coupling', 'g_ms', 'g_0', 'z_gg_0amu', 'g_ms', 'to', '2', 'loops', 'in', 'perturbation', 'theory', 'with', 'fermions', 'in', 'an', 'arbitrary', 'representation', 'of', 'the', 'gauge', 'group', 'sun', 'our', 'calculation', 'is', 'performed', 'using', 'overlap', 'fermions', 'and', 'wilson', 'gluons', 'and', 'the', 'background', 'field', 'technique', 'has', 'been', 'chosen', 'for', 'convenience', 'the', 'corresponding', 'results', 'in', 'the', 'fundamental', 'representation', 'appear', 'in', 'our', 'longer', 'publication', 'arxiv07094368', 'the', '3loop', 'coefficient', 'of', 'the', 'bare', 'betafunction', 'b_2l', 'is', 'extracted', 'using', 'the', '2loop', 'expression', 'for', 'z_g', 'and', 'it', 'is', 'presented', 'as', 'a', 'function', 'of', 'the', 'overlap', 'parameter', 'rho', 'the', 'number', 'of', 'fermion', 'flavors', 'n_f', 'and', 'the', 'number', 'of', 'colors', 'n', 'we', 'also', 'provide', 'the', 'expression', 'for', 'the', 'ratio', 'lambda_llambda_ms', 'in', 'an', 'arbitrary', 'representation', 'a', 'plot', 'of', 'lambda_llambda_ms', 'is', 'given', 'in', 'the', 'adjoint', 'representation']] | [-0.14983268093077862, 0.17725077371053913, -0.09867766615901598, 0.039549278369646126, -0.04261315025205752, -0.08503132719885219, 0.03661504250538366, 0.35158876693017327, -0.1442697796314447, -0.3126343713057312, 0.009869230281434615, -0.29765904929037346, -0.13339257826958079, 0.12450856675930096, 0.01755511038583901, 0.0301738255383856, 0.01791340773431302, 0.10800266775120028, -0.07276835756827936, -0.224750400965356, 0.3150455761845506, -0.005729799430506925, 0.24667551984417846, 0.11168557467207199, 0.06303607781812774, 0.04195495274369464, -0.05900961067880306, -0.042168375947794906, -0.09797101740189122, 0.0998226535069107, 0.21101839096059627, 0.04599432484070404, 0.17686568316298001, -0.33502005463974044, -0.14857707132680595, 0.0610327891878445, 0.16347740573991992, 0.08367634510310988, -0.014476141204464842, -0.24595791252442833, 0.05578330787124507, -0.19344788125476264, -0.15118513374578801, -0.0643530503377516, 0.042972019419363336, -0.08408244446653759, -0.3189728595598629, 0.06331205032002993, -0.04254282869850144, 0.07035783220392962, -0.019661630678456277, -0.1639644333627075, -0.012721515595771823, 0.1685959529308038, 0.09986027918586676, 0.10539880757939747, 0.08778887370135635, -0.19298579626201623, -0.07788865502472177, 0.39376638455767976, -0.12077284923218416, -0.2305454013712182, 0.11673561200697088, -0.15683586196268373, -0.11705314783929763, 0.1082308828491946, 0.1027653143480138, 0.12022300240950602, -0.11259270811481684, 0.17838053367670387, -0.0631838037039746, 0.16477657409709398, 0.07643181683890747, 0.006194943343430306, 0.1421393780813863, 0.11840184963004889, -0.001237548358569091, 0.10294630309164693, -0.025585452186395272, -0.04632224594807309, -0.3604939233963237, -0.15068777185815357, -0.19197503856478512, 0.05544492120283063, -0.16914314884552645, -0.16564541401704913, 0.3868352978024632, 0.13469197436687397, 0.2000592859095019, 0.07056810976020202, 0.261054421198258, 0.16845290379150715, 0.09966688210525634, 0.053378023485878875, 0.20905828511229518, 0.2009614748319357, 0.06413596906967348, -0.26817608604941406, -0.06834894647005113, 0.14458312718973806] |
711.4666 | The instability of counter-propagating kernel gravity waves in a
constant shear flow | The mechanism describing the recently developed notion of kernel gravity
waves (KGWs) is reviewed and such structures are employed to interpret the
unstable dynamics of an example stratified plane parallel shear flow. This flow
has constant vertical shear, is infinite in the vertical extent, and
characterized by two density jumps of equal magnitude each decreasing
successively with height, in which the jumps are located symmetrically away
from the midplane of the system. We find that for a suitably defined
bulk-Richardson number there exists a band of horizontal wavenumbers which
exhibits normal-mode instability. The instability mechanism closely parallels
the mechanism responsible for the instability seen in the problem of
counter-propagating Rossby waves. In this problem the instability arises out of
the interaction of counter-propagating gravity waves. We argue that the
instability meets the Hayashi-Young criterion for wave instability. We also
argue that the instability is the simplest one that can arise in a stratified
atmosphere with constant shear flow. The counter propagating gravity waves
mechanism detailed here explains why the Rayleigh criteria for shear flow
instability in the unstratified case does not need to be satisfied in the
stratified case. This illustrates how the Miles-Howard theorem may support
destabilization through stratification. A normal mode analysis of a foamy layer
consisting of two density jumps of unequal magnitude is also analyzed. The
results are considered in terms of observations made of sea-hurricane
interfaces.
| physics.geo-ph astro-ph physics.ao-ph | the mechanism describing the recently developed notion of kernel gravity waves kgws is reviewed and such structures are employed to interpret the unstable dynamics of an example stratified plane parallel shear flow this flow has constant vertical shear is infinite in the vertical extent and characterized by two density jumps of equal magnitude each decreasing successively with height in which the jumps are located symmetrically away from the midplane of the system we find that for a suitably defined bulkrichardson number there exists a band of horizontal wavenumbers which exhibits normalmode instability the instability mechanism closely parallels the mechanism responsible for the instability seen in the problem of counterpropagating rossby waves in this problem the instability arises out of the interaction of counterpropagating gravity waves we argue that the instability meets the hayashiyoung criterion for wave instability we also argue that the instability is the simplest one that can arise in a stratified atmosphere with constant shear flow the counter propagating gravity waves mechanism detailed here explains why the rayleigh criteria for shear flow instability in the unstratified case does not need to be satisfied in the stratified case this illustrates how the mileshoward theorem may support destabilization through stratification a normal mode analysis of a foamy layer consisting of two density jumps of unequal magnitude is also analyzed the results are considered in terms of observations made of seahurricane interfaces | [['the', 'mechanism', 'describing', 'the', 'recently', 'developed', 'notion', 'of', 'kernel', 'gravity', 'waves', 'kgws', 'is', 'reviewed', 'and', 'such', 'structures', 'are', 'employed', 'to', 'interpret', 'the', 'unstable', 'dynamics', 'of', 'an', 'example', 'stratified', 'plane', 'parallel', 'shear', 'flow', 'this', 'flow', 'has', 'constant', 'vertical', 'shear', 'is', 'infinite', 'in', 'the', 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0.0553892954959394, 0.06757272583349047] |
711.4667 | A magnetic lens for cold atoms controlled by a rf field | We report on a new type of magnetic lens that focuses atomic clouds using a
static inhomogeneous magnetic field in combination with a radio-frequency
field. The experimental study is performed with a cloud of cold cesium atoms.
The rf field adiabatically deforms the magnetic potential of a coil and
therefore changes its focusing properties. The focal length can be tuned
precisely by changing the rf frequency value. Depending on the rf antenna
position relative to the DC magnetic profile, the focal length of the atomic
lens can be either decreased or increased by the rf field.
| physics.atom-ph | we report on a new type of magnetic lens that focuses atomic clouds using a static inhomogeneous magnetic field in combination with a radiofrequency field the experimental study is performed with a cloud of cold cesium atoms the rf field adiabatically deforms the magnetic potential of a coil and therefore changes its focusing properties the focal length can be tuned precisely by changing the rf frequency value depending on the rf antenna position relative to the dc magnetic profile the focal length of the atomic lens can be either decreased or increased by the rf field | [['we', 'report', 'on', 'a', 'new', 'type', 'of', 'magnetic', 'lens', 'that', 'focuses', 'atomic', 'clouds', 'using', 'a', 'static', 'inhomogeneous', 'magnetic', 'field', 'in', 'combination', 'with', 'a', 'radiofrequency', 'field', 'the', 'experimental', 'study', 'is', 'performed', 'with', 'a', 'cloud', 'of', 'cold', 'cesium', 'atoms', 'the', 'rf', 'field', 'adiabatically', 'deforms', 'the', 'magnetic', 'potential', 'of', 'a', 'coil', 'and', 'therefore', 'changes', 'its', 'focusing', 'properties', 'the', 'focal', 'length', 'can', 'be', 'tuned', 'precisely', 'by', 'changing', 'the', 'rf', 'frequency', 'value', 'depending', 'on', 'the', 'rf', 'antenna', 'position', 'relative', 'to', 'the', 'dc', 'magnetic', 'profile', 'the', 'focal', 'length', 'of', 'the', 'atomic', 'lens', 'can', 'be', 'either', 'decreased', 'or', 'increased', 'by', 'the', 'rf', 'field']] | [-0.20597878587250307, 0.21822279391684182, -0.006275116349570453, -0.05997055009720498, -0.08015466130776379, -0.13387002613550672, 0.059220389300511066, 0.43375964423952, -0.23897862560503805, -0.3091546605185916, 0.06008177997985816, -0.20199140118590245, -0.05914265374546327, 0.22203378573127944, 0.01468518064939417, -0.01341440666935038, -0.004088629434894149, 0.05060941357320795, -0.0766408483577834, -0.17088803090155125, 0.3103579251498256, 0.09881065886171807, 0.3053035953222813, 0.050444846531415045, 0.07720757407757144, 0.018618970532164287, 0.03883744394988753, 0.09196085973720376, -0.10289159324785639, 0.09374921694878442, 0.16121826296390887, 0.03644658847770188, 0.22276029246374188, -0.46680685445123044, -0.221830276180602, 0.07389529550952527, 0.12594539308580957, 0.11900773280406914, -0.04610951422485717, -0.3029922387892536, 0.04487629981789117, -0.10979451073459738, -0.1691064614666781, 0.0157179821205015, -0.03177664900188878, 0.14212560874633104, -0.25842791322308284, 0.001030596414542136, 0.024196765429602845, 0.14365020304103382, -0.08202630008963752, -0.06962344774607725, 0.013471371668856591, 0.06049521335080499, 0.0013404591857882526, 0.11756253556086449, 0.2839802696883756, -0.12987255491680116, -0.0419239815431259, 0.35075464714706567, -0.10652370745083317, -0.15495867460655668, 0.11605461492824058, -0.15758413088527354, -0.0065450928135154145, 0.15725218569180774, 0.1645540035533486, 0.06341495570086408, -0.11628345615827129, 0.07301023520934298, 0.016799604908252757, 0.24744005349930376, 0.11778335397442181, -0.002838291067746468, 0.2929012886500762, 0.15882720972998263, 0.06485580163037714, 0.20676565162284533, -0.17370735463434053, 0.00039908147300593555, -0.1988305553289441, -0.10720781028309527, -0.19727663540591797, 0.057314157432604894, -0.07051287551981507, -0.17725839302875102, 0.42874631241041544, 0.11305594319128431, 0.1711619855001724, -0.08664260629060057, 0.3850674581869195, 0.11987563760097449, 0.09544828818131161, 0.0023542101019605375, 0.2613608290121192, 0.1627438040037911, 0.11925111318123527, -0.2864908399108875, 0.004715577718646576, -0.013372972660969632] |
711.4668 | Polymer nanoparticles to decrease thermal conductivity of phase change
materials | Microparticles including paraffin are currently used for textiles coating in
order to deaden thermal shocks. We will show that polymer nanoparticles
embedded in those microsized capsules allow for decreasing the thermal
conductivity of the coating and enhance the protection in the stationary
regime. A reasonable volume fraction of polymer nanoparticles reduces the
conductivity more than predicted by Maxwell mixing rules. Besides, measurements
prove that the polymer nanoparticles do not affect the latent heat and even
improve the phase change behaviour as well as the mechanical properties.
| cond-mat.mtrl-sci | microparticles including paraffin are currently used for textiles coating in order to deaden thermal shocks we will show that polymer nanoparticles embedded in those microsized capsules allow for decreasing the thermal conductivity of the coating and enhance the protection in the stationary regime a reasonable volume fraction of polymer nanoparticles reduces the conductivity more than predicted by maxwell mixing rules besides measurements prove that the polymer nanoparticles do not affect the latent heat and even improve the phase change behaviour as well as the mechanical properties | [['microparticles', 'including', 'paraffin', 'are', 'currently', 'used', 'for', 'textiles', 'coating', 'in', 'order', 'to', 'deaden', 'thermal', 'shocks', 'we', 'will', 'show', 'that', 'polymer', 'nanoparticles', 'embedded', 'in', 'those', 'microsized', 'capsules', 'allow', 'for', 'decreasing', 'the', 'thermal', 'conductivity', 'of', 'the', 'coating', 'and', 'enhance', 'the', 'protection', 'in', 'the', 'stationary', 'regime', 'a', 'reasonable', 'volume', 'fraction', 'of', 'polymer', 'nanoparticles', 'reduces', 'the', 'conductivity', 'more', 'than', 'predicted', 'by', 'maxwell', 'mixing', 'rules', 'besides', 'measurements', 'prove', 'that', 'the', 'polymer', 'nanoparticles', 'do', 'not', 'affect', 'the', 'latent', 'heat', 'and', 'even', 'improve', 'the', 'phase', 'change', 'behaviour', 'as', 'well', 'as', 'the', 'mechanical', 'properties']] | [-0.05256400593857774, 0.22319182688918185, -0.04686254633261877, -0.004070273693650961, -0.04406619908233338, -0.1308172962628305, 0.04412931574179846, 0.4035995455349193, -0.24086123952532515, -0.2892992008915719, 0.09555259654435384, -0.31848694484900025, -0.10886827586218714, 0.1939647512168021, -0.06390352543881711, 0.074015760169748, 0.026371108702219585, -0.04044951372779906, -0.025514280837138786, -0.1714163695968797, 0.20915759559917632, 0.067886870146236, 0.3228246831061209, 0.0864578728838002, 0.037895788345485924, -0.007520742522790576, 0.050488888243596784, 0.08008226827471791, -0.15865398208860665, 0.05858911569915055, 0.22082410082221032, -0.050651009213727186, 0.1676257040379021, -0.5292045000721427, -0.29231758734540025, 0.10989437896539184, 0.14946614827632027, 0.09579744074931916, -0.024858285317724736, -0.19204298032118994, 0.0513143612373182, -0.1478422615019714, -0.1437052239335197, -0.10637288888204185, -0.026652571947916464, 0.05546328910790822, -0.23409094749675954, 0.0931043299353298, 0.08934735503622933, 0.01802294553421876, -0.08955796497380909, -0.14598045594551984, -0.06004363013814916, 0.13330808018388993, 0.0414225115933839, -0.05699604027630652, 0.3093895069706966, -0.17940126431777198, -0.03916105402304846, 0.3974527046960943, -0.08964034286824137, -0.18329546828480328, 0.1886198143091272, -0.16618986377930817, -0.04717779712313238, 0.21923345839604735, 0.15813136124326027, 0.10602237257887336, -0.15808701137190356, -0.007956791369189673, 0.024201299425433663, 0.21353786064530997, 0.10007040813455687, 0.05811897163443706, 0.1981679707984714, 0.19875407103887377, 0.005668114939266268, 0.21148908199016553, -0.057197814796339064, -0.03731574804029044, -0.20048649363658008, -0.24379601443515103, -0.19191684677977772, 0.03563254693375818, -0.14289369223714696, -0.20479134583078762, 0.30314987525343895, 0.13584726611152292, 0.12089565975954482, 0.047447399107520195, 0.22577215661568678, 0.03033784179783919, 0.09040492758538354, 0.04507764977238634, 0.3162234244977727, 0.13765948114861898, 0.17488301551818627, -0.2703733703724163, 0.1224384373108692, -0.008834534138441087] |
711.4669 | DFT calculation for adatom adsorption on graphene sheet as a prototype
of carbon nano tube functionalization | DFT calculation of various atomic species on graphene sheet is investigated
as prototypes for formation of nano-structures on carbon nanotube (CNT) wall.
We investigate computationally adsorption energies and adsorption sites on
graphene sheet for a lot of atomic species including transition metals, noble
metals, nitrogen and oxygen, using the DFT calculation as a prototype for CNT.
The suitable atomic species can be chosen as each application from those
results. The calculated results show us that Mo and Ru are bounded strongly on
graphene sheet with large diffusion barrier energy. On the other hand, some
atomic species has large binding energies with small diffusion barrier energies
| cond-mat.mtrl-sci | dft calculation of various atomic species on graphene sheet is investigated as prototypes for formation of nanostructures on carbon nanotube cnt wall we investigate computationally adsorption energies and adsorption sites on graphene sheet for a lot of atomic species including transition metals noble metals nitrogen and oxygen using the dft calculation as a prototype for cnt the suitable atomic species can be chosen as each application from those results the calculated results show us that mo and ru are bounded strongly on graphene sheet with large diffusion barrier energy on the other hand some atomic species has large binding energies with small diffusion barrier energies | [['dft', 'calculation', 'of', 'various', 'atomic', 'species', 'on', 'graphene', 'sheet', 'is', 'investigated', 'as', 'prototypes', 'for', 'formation', 'of', 'nanostructures', 'on', 'carbon', 'nanotube', 'cnt', 'wall', 'we', 'investigate', 'computationally', 'adsorption', 'energies', 'and', 'adsorption', 'sites', 'on', 'graphene', 'sheet', 'for', 'a', 'lot', 'of', 'atomic', 'species', 'including', 'transition', 'metals', 'noble', 'metals', 'nitrogen', 'and', 'oxygen', 'using', 'the', 'dft', 'calculation', 'as', 'a', 'prototype', 'for', 'cnt', 'the', 'suitable', 'atomic', 'species', 'can', 'be', 'chosen', 'as', 'each', 'application', 'from', 'those', 'results', 'the', 'calculated', 'results', 'show', 'us', 'that', 'mo', 'and', 'ru', 'are', 'bounded', 'strongly', 'on', 'graphene', 'sheet', 'with', 'large', 'diffusion', 'barrier', 'energy', 'on', 'the', 'other', 'hand', 'some', 'atomic', 'species', 'has', 'large', 'binding', 'energies', 'with', 'small', 'diffusion', 'barrier', 'energies']] | [-0.041434621589169614, 0.18252859561748447, 0.0491201196087613, 0.014770753591853593, 0.07266199202055022, -0.17848607281311638, 0.0917657530334379, 0.46822648232891445, -0.2153817763064234, -0.29746685079520657, -0.01927402997389436, -0.33180659975013915, -0.08210192492253901, 0.1672174201302585, 0.08136626694440133, 0.01099380517733239, 0.10245443053898357, -0.06606506553168098, -0.026327301892230197, -0.2041050486455095, 0.25043925596844585, 0.09031287016613143, 0.30268972475259076, 0.17879902691181218, 0.023426912906801416, -0.03989262898186488, 0.09926320356095121, 0.038608795701570456, -0.211761861700645, 0.14330834974853565, 0.23213011351680116, -0.10405349715479782, 0.19375857611053757, -0.5473009974651394, -0.22277196502046925, -0.030605638721248225, 0.11113440582883499, 0.19845049572842463, -0.09881985023994708, -0.2331118232393194, 0.012415584229997226, -0.13222752896447976, -0.10049507977174861, -0.07011098923782508, 0.022246200050271694, 0.10354146256244608, -0.19696253497774402, 0.05055455666567598, -0.04078492364801821, 0.07144739368176531, -0.13797428203480586, -0.22849633027577684, -0.12405524375028021, 0.03404395990960655, 0.04463049028556616, -0.013415489343571521, 0.3407832046527238, -0.07005964931034084, -0.05830716824247723, 0.4578079464534918, -0.09076313238502258, -0.12894751386983053, 0.25784186352753924, -0.15794398947175414, -0.10879836329924208, 0.1709893826572668, 0.08669294859060929, 0.1293269940829348, -0.14807515439710447, 0.102579601184975, -0.0236118873758685, 0.14410784752662514, 0.1621592597282004, 0.023233295937201807, 0.20906549413865877, 0.23574667445694406, 0.07331014637436185, 0.0675507336771781, -0.12295844249560364, -0.06908929140440055, -0.173490388159241, -0.23619703446470555, -0.23716585535910867, 0.08280943864513012, -0.08657224359547919, -0.228575696552261, 0.34943798694404815, 0.06940563366127511, 0.16479049705057627, -0.04680810429688011, 0.2243377364240587, 0.08873723288221906, 0.09775425275965106, -0.06366756426259165, 0.17547423903126314, 0.16107857762170688, 0.06918944030379255, -0.22331878762204377, 0.11008337031429012, 0.04646747165977667] |
711.467 | Automorphism groups of root systems matroids | Given a root system $\mathsf{R}$, the vector system $\tilde{\mathsf{R}}$ is
obtained by taking a representative $v$ in each antipodal pair $\{v, -v\}$. The
matroid $M(\mathsf{R})$ is formed by all independent subsets of
$\tilde{\mathsf{R}}$. The automorphism group of a matroid is the group of
permutations preserving its independent subsets. We prove that the automorphism
groups of all irreducible root systems matroids $M(\mathsf{R})$ are uniquely
determined by their independent sets of size 3. As a corollary, we compute
these groups explicitly, and thus complete the classification of the
automorphism groups of root systems matroids.
| math.CO | given a root system mathsfr the vector system tildemathsfr is obtained by taking a representative v in each antipodal pair v v the matroid mmathsfr is formed by all independent subsets of tildemathsfr the automorphism group of a matroid is the group of permutations preserving its independent subsets we prove that the automorphism groups of all irreducible root systems matroids mmathsfr are uniquely determined by their independent sets of size 3 as a corollary we compute these groups explicitly and thus complete the classification of the automorphism groups of root systems matroids | [['given', 'a', 'root', 'system', 'mathsfr', 'the', 'vector', 'system', 'tildemathsfr', 'is', 'obtained', 'by', 'taking', 'a', 'representative', 'v', 'in', 'each', 'antipodal', 'pair', 'v', 'v', 'the', 'matroid', 'mmathsfr', 'is', 'formed', 'by', 'all', 'independent', 'subsets', 'of', 'tildemathsfr', 'the', 'automorphism', 'group', 'of', 'a', 'matroid', 'is', 'the', 'group', 'of', 'permutations', 'preserving', 'its', 'independent', 'subsets', 'we', 'prove', 'that', 'the', 'automorphism', 'groups', 'of', 'all', 'irreducible', 'root', 'systems', 'matroids', 'mmathsfr', 'are', 'uniquely', 'determined', 'by', 'their', 'independent', 'sets', 'of', 'size', '3', 'as', 'a', 'corollary', 'we', 'compute', 'these', 'groups', 'explicitly', 'and', 'thus', 'complete', 'the', 'classification', 'of', 'the', 'automorphism', 'groups', 'of', 'root', 'systems', 'matroids']] | [-0.2588037942769006, 0.11819191293960268, -0.03340470004530454, -0.0016523730710931968, -0.064174135154727, -0.10242211157773537, 0.0626069076586811, 0.343697591600093, -0.3679326743982859, -0.23106041535026056, 0.11170907343131892, -0.2978786536577073, -0.10734495403118093, 0.14980687148107047, -0.09501415933482349, -0.022536207705508623, 0.06898213287984784, 0.14161041970576413, -0.09302267476000865, -0.3488362736322663, 0.3776789268304128, -0.04874988184945488, 0.19202952966125766, -0.02820453418164768, 0.14974030586679213, 0.06140120742466851, -0.025978431894062935, 0.05500463454253887, -0.10281037764972015, 0.0837597182478269, 0.27211238688323647, 0.15222575910436056, 0.19352789356542582, -0.2995869920546697, -0.1302793197100982, 0.20514269373167984, 0.1379130298261192, 0.006470781515500593, -0.0021535381383728236, -0.26500032771516335, 0.13381011130034245, -0.172137273875044, -0.14517156560693614, -0.008258315469984982, 0.1304443677760322, 0.05340889119543135, -0.2323726274877448, -0.02964175178732892, 0.09258814310570332, 0.13949931190952405, -0.05101817605662456, -0.16161847281513142, -0.0991940187046897, 0.1698679003483531, -0.06672894391389987, 0.05469305596885864, 0.11136376507453281, -0.04395171452779323, -0.13612661089560293, 0.4207256725904616, 0.016803074506407775, -0.2201952375851926, 0.1291978071464903, -0.1721425115300173, -0.16339863423490897, 0.14242694042993456, 0.13209945791062305, 0.11391264490190554, -0.08962984914383428, 0.14481005395315483, -0.18592465520222587, 0.0886643435806036, 0.05527433695335111, -0.004935419366864318, 0.17040713887069037, 0.09639107568231835, 0.09945810633309354, 0.16801894600079817, 0.0919642611830072, 0.07071958477767608, -0.33744572805748746, -0.12924037042962896, -0.1661675635762301, 0.06866969698934224, -0.1745143130430568, -0.16565431602330963, 0.41256229020655155, 0.05030806316062808, 0.16366498121219178, 0.11230250445871869, 0.1986500134649263, 0.04186362583608239, 0.0957223053221903, 0.10299692686583678, 0.10043433076299896, 0.2381979055062402, -0.1250137362565676, -0.1562793276865374, 0.026114993130745875, 0.20244243993974206] |
711.4671 | Duality Symmetry and the Cardy Limit | We study supersymmetric and non-supersymmetric extremal black holes obtained
in Type IIA string theory compactified on K3 X T^2, with duality group
O(6,22,Z) X SL(2,Z). In the Cardy limit an internal circle combines with the
AdS_2 component in the near horizon geometry to give a BTZ black hole whose
entropy is given by the Cardy formula. We study black holes carrying D0-D4 and
D0-D6 brane charges. We find, both in the supersymmetric and non-supersymmetric
cases, that a generic set of charges cannot be brought to the Cardy limit using
the duality symmetries. In the non-supersymmetric case, unlike the
supersymmetric one, we find that when the charges are large, a small fractional
change in them always allows the charges to be taken to the Cardy limit. These
results could lead to a microscopic determination of the entropy for extremal
non-supersymmetric black holes, including rotating cases like the extreme Kerr
black hole in four dimensions.
| hep-th | we study supersymmetric and nonsupersymmetric extremal black holes obtained in type iia string theory compactified on k3 x t2 with duality group o622z x sl2z in the cardy limit an internal circle combines with the ads_2 component in the near horizon geometry to give a btz black hole whose entropy is given by the cardy formula we study black holes carrying d0d4 and d0d6 brane charges we find both in the supersymmetric and nonsupersymmetric cases that a generic set of charges cannot be brought to the cardy limit using the duality symmetries in the nonsupersymmetric case unlike the supersymmetric one we find that when the charges are large a small fractional change in them always allows the charges to be taken to the cardy limit these results could lead to a microscopic determination of the entropy for extremal nonsupersymmetric black holes including rotating cases like the extreme kerr black hole in four dimensions | [['we', 'study', 'supersymmetric', 'and', 'nonsupersymmetric', 'extremal', 'black', 'holes', 'obtained', 'in', 'type', 'iia', 'string', 'theory', 'compactified', 'on', 'k3', 'x', 't2', 'with', 'duality', 'group', 'o622z', 'x', 'sl2z', 'in', 'the', 'cardy', 'limit', 'an', 'internal', 'circle', 'combines', 'with', 'the', 'ads_2', 'component', 'in', 'the', 'near', 'horizon', 'geometry', 'to', 'give', 'a', 'btz', 'black', 'hole', 'whose', 'entropy', 'is', 'given', 'by', 'the', 'cardy', 'formula', 'we', 'study', 'black', 'holes', 'carrying', 'd0d4', 'and', 'd0d6', 'brane', 'charges', 'we', 'find', 'both', 'in', 'the', 'supersymmetric', 'and', 'nonsupersymmetric', 'cases', 'that', 'a', 'generic', 'set', 'of', 'charges', 'can', 'not', 'be', 'brought', 'to', 'the', 'cardy', 'limit', 'using', 'the', 'duality', 'symmetries', 'in', 'the', 'nonsupersymmetric', 'case', 'unlike', 'the', 'supersymmetric', 'one', 'we', 'find', 'that', 'when', 'the', 'charges', 'are', 'large', 'a', 'small', 'fractional', 'change', 'in', 'them', 'always', 'allows', 'the', 'charges', 'to', 'be', 'taken', 'to', 'the', 'cardy', 'limit', 'these', 'results', 'could', 'lead', 'to', 'a', 'microscopic', 'determination', 'of', 'the', 'entropy', 'for', 'extremal', 'nonsupersymmetric', 'black', 'holes', 'including', 'rotating', 'cases', 'like', 'the', 'extreme', 'kerr', 'black', 'hole', 'in', 'four', 'dimensions']] | [-0.123733163254299, 0.10670268525199407, -0.06578519626891886, 0.14678018733484707, -0.057501871771866976, -0.20669300983860797, 0.027997433767940096, 0.26451028012548833, -0.12850354512654294, -0.25636339817025694, 0.10274015428814916, -0.3571177754883869, -0.08490841638515978, 0.1548211321697321, -0.13300263738941426, 0.027199164300767426, -0.04560057179366232, 0.061462958404197805, -0.13676473272818268, -0.25143095540884103, 0.32416330381400055, 0.013326727200810816, 0.25860858482789567, 0.03157221446775533, 0.07833316798011462, 0.019159631805914436, 0.0700813009726261, 0.06399492150664027, -0.17576018735217433, 0.10550624354486811, 0.24703201963687985, 0.06868660541896532, 0.07724067170075537, -0.4502215447707796, -0.2175282111476644, 0.09926478744916667, 0.16792396770096293, 0.17824172822673337, -0.06472241941815109, -0.252754080795616, 0.08252367583633054, -0.22393225636211486, -0.1956826671349262, -0.08687540189990031, 0.05976890075002231, -0.09549083354657674, -0.22590387074788118, 0.07964533969479935, 0.05397041794217003, -0.06866588590824915, -0.08687629226596685, -0.029675348320963725, -0.1285544967147966, 0.08433645325381875, 0.1970434703976768, 0.029028221824833382, 0.1909480526909427, -0.1272103267027905, -0.150544296962276, 0.29545154188777883, -0.04421607858738771, -0.23294176211203235, 0.14192895858481624, -0.25957754823787055, -0.1648705334500014, 0.09170286443230569, 0.06686060999450122, 0.23534121870038896, -0.11083455820725029, 0.2224009989268524, -0.05474983194152051, 0.11311850478884831, 0.13780293970070537, 0.06193152955106271, 0.3950668251434085, 0.08131059988864447, 0.014221973619058583, 0.20497746430520042, -0.056526972008511436, -0.12984885794591475, -0.38876453869263916, -0.13504258689951468, -0.1263424245993686, 0.1833043673451042, -0.21116968291156143, -0.17760190076736454, 0.30569576518914476, 0.07393814188129956, 0.18925208751769626, 0.030358619799265286, 0.13973209744977388, 0.08227597003480422, 0.04249261007979025, 0.09313591068391414, 0.2936501158918772, 0.1219996203580153, 0.10305469729054988, -0.25185415845705206, -0.1881160631294977, 0.22849261653883493] |
711.4672 | Coherent J/psi production - a novel feature at LHC? | Energy dependence of heavy quarkonia production in hadron-nucleus collisions
is studied in the framework of the Glauber-Gribov theory. We emphasize a change
in the space-time picture of heavy-quark state production on nuclei with
energy. Longitudinally ordered scattering of a heavy-quark system takes place
at low energies, while with increasing energy it transforms to a coherent
scattering of projectile partons on the nuclear target. The characteristic
energy scale for this transition depends on masses and rapidities of produced
particles. For J/psi, produced in the central rapidity region, the transition
happens at RHIC energies. The parameter-free calculation of J/psi in dAu
collisions is in good agreement with recent RHIC data. We use distributions of
gluons in nuclei to predict suppression of heavy quarkonia at LHC.
| hep-ph | energy dependence of heavy quarkonia production in hadronnucleus collisions is studied in the framework of the glaubergribov theory we emphasize a change in the spacetime picture of heavyquark state production on nuclei with energy longitudinally ordered scattering of a heavyquark system takes place at low energies while with increasing energy it transforms to a coherent scattering of projectile partons on the nuclear target the characteristic energy scale for this transition depends on masses and rapidities of produced particles for jpsi produced in the central rapidity region the transition happens at rhic energies the parameterfree calculation of jpsi in dau collisions is in good agreement with recent rhic data we use distributions of gluons in nuclei to predict suppression of heavy quarkonia at lhc | [['energy', 'dependence', 'of', 'heavy', 'quarkonia', 'production', 'in', 'hadronnucleus', 'collisions', 'is', 'studied', 'in', 'the', 'framework', 'of', 'the', 'glaubergribov', 'theory', 'we', 'emphasize', 'a', 'change', 'in', 'the', 'spacetime', 'picture', 'of', 'heavyquark', 'state', 'production', 'on', 'nuclei', 'with', 'energy', 'longitudinally', 'ordered', 'scattering', 'of', 'a', 'heavyquark', 'system', 'takes', 'place', 'at', 'low', 'energies', 'while', 'with', 'increasing', 'energy', 'it', 'transforms', 'to', 'a', 'coherent', 'scattering', 'of', 'projectile', 'partons', 'on', 'the', 'nuclear', 'target', 'the', 'characteristic', 'energy', 'scale', 'for', 'this', 'transition', 'depends', 'on', 'masses', 'and', 'rapidities', 'of', 'produced', 'particles', 'for', 'jpsi', 'produced', 'in', 'the', 'central', 'rapidity', 'region', 'the', 'transition', 'happens', 'at', 'rhic', 'energies', 'the', 'parameterfree', 'calculation', 'of', 'jpsi', 'in', 'dau', 'collisions', 'is', 'in', 'good', 'agreement', 'with', 'recent', 'rhic', 'data', 'we', 'use', 'distributions', 'of', 'gluons', 'in', 'nuclei', 'to', 'predict', 'suppression', 'of', 'heavy', 'quarkonia', 'at', 'lhc']] | [-0.05150431259043091, 0.2947164626898077, -0.18681871705892972, 0.16741805477162475, 0.049083427425731366, -0.05477793395663119, -0.020196217374414266, 0.3657776020482425, -0.17459499695133873, -0.22870790750939188, -0.13110671619358436, -0.37207011409043295, 0.13467377533651587, 0.1109562711790204, 0.06820209950707451, 0.08291038050414706, 0.11032331985141325, 0.03793392986687642, -0.060373393091850164, -0.16882642017624425, 0.34841265772825214, 0.10817178662078894, 0.2558070961083096, 0.2311727406250737, 0.06467445347764779, 0.11243818398012317, 0.020052764527840404, -0.054186762848157224, -0.10228068708268002, 0.06086454819556614, 0.29469890616516153, 0.009068918124795324, 0.1462608215520234, -0.399575124646166, -0.1427166222772614, 0.10032633849518086, 0.15229973204578728, 0.13820131670312608, -0.10796383450591437, -0.23533096093290706, 0.07519954658014988, -0.23747324500596378, -0.1481801996724983, -0.0475858335451382, 0.02544665621305869, 0.00015359087913425836, -0.3097059276197257, 0.120345391393677, -0.06389156622316204, 0.04853735710077775, -0.06951513751296372, -0.17468931701231172, -0.06422431455220937, -0.017838910687714815, 0.12247293457252587, 0.11381086855521047, 0.2107595315475653, -0.1875337877285258, -0.12281243659071321, 0.4049878083623764, 0.013756888299589841, -0.08825840052913844, 0.17992909881475616, -0.25068312376828455, -0.14538781437454973, 0.20603042978763095, 0.3020146478391518, 0.11088403244692135, -0.14954400796261502, 0.0772060995514039, -0.006279987411770395, 0.1609171291517957, 0.10816910923496495, 0.11059286044970887, 0.17761333376108632, 0.25260359443330427, -0.060766967242523055, 0.0622993497692836, -0.07850630480485658, -0.12871811379928413, -0.39547734524358097, -0.08078249185005339, -0.11990675465695984, 0.02763586936374687, -0.061455659530332836, -0.0638605595104457, 0.35716871997508093, 0.07060395653844183, 0.301133105054316, -0.027103453246134567, 0.29664354644927793, 0.113064726776769, 0.03209243340766042, 0.12298068832757512, 0.30575743933185573, 0.1738523644635575, 0.21700844415312073, -0.2808623012019003, 0.03943840756243837, 0.05209383082848678] |
711.4673 | On features of the radiation from an electron moving along a helix
inside a cylindrical hole in a homogeneous dielectric | The radiation from a charge moving along a helical trajectory inside a
cylindrical hole in homogeneous dielectric medium is investigated. Prompted by
availability of materials with large dielectric permittivity $\epsilon $ and
small absorption, we discuss the features of this type of radiation for media
with $\epsilon \gg 1$. It is shown that there are high peaks in the angular
distribution of radiation intensity at well-defined harmonics. The conditions
are specified for the cavity-to-helix radii ratio, $\rho_{1}/\rho_{0}$, under
which the angle-integrated radiation intensity on some harmonics exceeds that
in the empty space. Though the amplification of radiation intensity increases
with increasing $\epsilon $, the corresponding "resonant" values of $\rho
_{1}/\rho_{0}$ ratio are practically independent of the dielectric permittivity
of surrounding medium. It is shown that an analogous amplification of radiation
takes place essentially for the same values of $\rho_{1}/\rho_{0}$ also for the
radiation in a cylindrical waveguide with conducting walls. An explanation of
this phenomenon is given.
| hep-th physics.class-ph | the radiation from a charge moving along a helical trajectory inside a cylindrical hole in homogeneous dielectric medium is investigated prompted by availability of materials with large dielectric permittivity epsilon and small absorption we discuss the features of this type of radiation for media with epsilon gg 1 it is shown that there are high peaks in the angular distribution of radiation intensity at welldefined harmonics the conditions are specified for the cavitytohelix radii ratio rho_1rho_0 under which the angleintegrated radiation intensity on some harmonics exceeds that in the empty space though the amplification of radiation intensity increases with increasing epsilon the corresponding resonant values of rho _1rho_0 ratio are practically independent of the dielectric permittivity of surrounding medium it is shown that an analogous amplification of radiation takes place essentially for the same values of rho_1rho_0 also for the radiation in a cylindrical waveguide with conducting walls an explanation of this phenomenon is given | [['the', 'radiation', 'from', 'a', 'charge', 'moving', 'along', 'a', 'helical', 'trajectory', 'inside', 'a', 'cylindrical', 'hole', 'in', 'homogeneous', 'dielectric', 'medium', 'is', 'investigated', 'prompted', 'by', 'availability', 'of', 'materials', 'with', 'large', 'dielectric', 'permittivity', 'epsilon', 'and', 'small', 'absorption', 'we', 'discuss', 'the', 'features', 'of', 'this', 'type', 'of', 'radiation', 'for', 'media', 'with', 'epsilon', 'gg', '1', 'it', 'is', 'shown', 'that', 'there', 'are', 'high', 'peaks', 'in', 'the', 'angular', 'distribution', 'of', 'radiation', 'intensity', 'at', 'welldefined', 'harmonics', 'the', 'conditions', 'are', 'specified', 'for', 'the', 'cavitytohelix', 'radii', 'ratio', 'rho_1rho_0', 'under', 'which', 'the', 'angleintegrated', 'radiation', 'intensity', 'on', 'some', 'harmonics', 'exceeds', 'that', 'in', 'the', 'empty', 'space', 'though', 'the', 'amplification', 'of', 'radiation', 'intensity', 'increases', 'with', 'increasing', 'epsilon', 'the', 'corresponding', 'resonant', 'values', 'of', 'rho', '_1rho_0', 'ratio', 'are', 'practically', 'independent', 'of', 'the', 'dielectric', 'permittivity', 'of', 'surrounding', 'medium', 'it', 'is', 'shown', 'that', 'an', 'analogous', 'amplification', 'of', 'radiation', 'takes', 'place', 'essentially', 'for', 'the', 'same', 'values', 'of', 'rho_1rho_0', 'also', 'for', 'the', 'radiation', 'in', 'a', 'cylindrical', 'waveguide', 'with', 'conducting', 'walls', 'an', 'explanation', 'of', 'this', 'phenomenon', 'is', 'given']] | [-0.15127575878571992, 0.18919749931059932, -0.031005276185121167, 0.001743187853412715, -0.02838490245438224, -0.0934045636310976, -0.010949303185766169, 0.4184223716918206, -0.2180787076593827, -0.27709461384088985, 0.030054367301578552, -0.30398398866593246, -0.07110963609001741, 0.19571363511464454, -0.0005051114762954365, 0.007152682865872695, -0.024067472973345033, 0.028723472883517773, -0.01866836561081277, -0.1341402205248866, 0.3237515761708187, 0.09141872153830999, 0.2768556849586944, 0.0741197212105031, 0.08896376599406589, -0.00907025372899378, 0.013902559722249476, 0.05337835213039163, -0.1102866185635821, 0.025222590282584067, 0.2087861616164446, 0.030776526350618588, 0.2425070105749645, -0.4068609280758445, -0.21813205219049697, 0.05777171608183952, 0.13151547277426434, 0.07926448705584575, -0.07940051187560677, -0.22325316820268995, 0.05042897331966272, -0.10522608760442116, -0.18158035136031492, 0.007533839934610373, 0.08036782840168141, 0.027254889046909005, -0.2953538303664386, 0.06246065891240662, 0.0500174099425261, 0.028857899009441305, -0.10693560189734035, -0.10309819747009222, -0.009809375213249432, 0.0627260009129069, 0.07182378825170314, 0.023078126620057204, 0.17618672194465107, -0.1576583199557657, -0.008223807581065112, 0.37765064657687375, -0.07507907725956957, -0.17975574200816793, 0.14352368925611753, -0.23577282631720434, -0.037875343367977016, 0.24344001792291092, 0.1389110192921728, 0.12502444087410505, -0.08214436145499349, 0.06608708614494269, -0.029481949549883802, 0.19545571609563656, 0.1564868913858586, 0.056341784451132186, 0.23901316518001012, 0.1464703956292017, 0.012528148716445149, 0.16630907957472943, -0.09747469961637051, -0.019734657431231036, -0.31500656784987013, -0.13621640301907792, -0.21107337714962365, 0.05558811673980872, -0.14841585534781646, -0.19393911867268346, 0.33095009891711025, 0.11029322762720731, 0.20358873048599885, -0.00099855771138709, 0.31928008131756885, 0.14864340985181512, 0.05796974334350806, 0.08158309752621151, 0.31514913332128175, 0.15071415477308955, 0.12355221798550954, -0.22346914025017411, 0.05592534266757649, -0.03505696690123257] |
711.4674 | Holst Actions for Supergravity Theories | Holst action containing Immirzi parameter for pure gravity is generalised to
the supergravity theories. Supergravity equations of motion are not modified by
such generalisations, thus preserving supersymmetry. Dependence on the Immirzi
parameter does not emerge in the classical equations of motion. This is in
contrast with the recent observation of Perez and Rovelli for gravity action
containing original Holst term and a minimally coupled Dirac fermion where the
classical equations of motion do develop a dependence on Immirzi parameter.
| gr-qc hep-th | holst action containing immirzi parameter for pure gravity is generalised to the supergravity theories supergravity equations of motion are not modified by such generalisations thus preserving supersymmetry dependence on the immirzi parameter does not emerge in the classical equations of motion this is in contrast with the recent observation of perez and rovelli for gravity action containing original holst term and a minimally coupled dirac fermion where the classical equations of motion do develop a dependence on immirzi parameter | [['holst', 'action', 'containing', 'immirzi', 'parameter', 'for', 'pure', 'gravity', 'is', 'generalised', 'to', 'the', 'supergravity', 'theories', 'supergravity', 'equations', 'of', 'motion', 'are', 'not', 'modified', 'by', 'such', 'generalisations', 'thus', 'preserving', 'supersymmetry', 'dependence', 'on', 'the', 'immirzi', 'parameter', 'does', 'not', 'emerge', 'in', 'the', 'classical', 'equations', 'of', 'motion', 'this', 'is', 'in', 'contrast', 'with', 'the', 'recent', 'observation', 'of', 'perez', 'and', 'rovelli', 'for', 'gravity', 'action', 'containing', 'original', 'holst', 'term', 'and', 'a', 'minimally', 'coupled', 'dirac', 'fermion', 'where', 'the', 'classical', 'equations', 'of', 'motion', 'do', 'develop', 'a', 'dependence', 'on', 'immirzi', 'parameter']] | [-0.15876171851082693, 0.1669824830804586, -0.07316027289327187, 0.03583972333028582, -0.20783000156472, -0.1880223540400591, -0.035086547837981694, 0.20860185294966155, -0.1889862160351646, -0.33485700515440747, 0.044475932841342464, -0.30200335056862876, -0.16607512640943634, 0.1060767945011229, -0.15025496607221947, 0.04024293595524151, 0.007156897031206967, 0.05966205370341298, -0.10333251125544687, -0.26206889174454195, 0.3448384923232672, -0.0034756102021547813, 0.20320229801714798, -0.01493776698089853, 0.1372513405483546, 0.014983432903838686, -0.006737400477021178, 0.05972773309714526, -0.13085165463057877, 0.03222364641555078, 0.16824228857066245, 0.03347566609323921, 0.18273165977642505, -0.39101621632381706, -0.2997533024253347, 0.056907571085929115, 0.12295380501736757, 0.1458724344479321, 0.00854983884263548, -0.3198912052697019, -0.03605769041194758, -0.1613957932649204, -0.12896135885893262, -0.11222940148738554, 0.028571436110931107, -0.12407698901959613, -0.2662028220152082, 0.16276517880290653, 0.05061921177879919, 0.0026678067714541774, -0.09480325294705698, -0.058164976136405255, -0.05878917045325418, 0.02730191684080453, 0.1133070044260755, 0.041438633581929944, 0.12117477520545826, -0.17712091799837218, -0.14757969903264526, 0.415890206724311, -0.13153895343170513, -0.3445035709021024, 0.13866591415238344, -0.14591551437838404, -0.17421977582116482, 0.06480501454818664, 0.06551522694386636, 0.1811913060189425, -0.13820275842341817, 0.28112959446638963, -0.006603857702752457, 0.13644601876222634, 0.09594643761439225, 0.011732128684562219, 0.21008576841765567, 0.06572917761808686, 0.03433007157637585, 0.0708095670288688, 0.023502509705015, -0.19319722546217374, -0.4088544465507133, -0.1382115554289975, -0.09608587686007819, 0.09409293708947039, -0.12843622203549382, -0.2121512527471479, 0.34313375076066843, 0.15002050782889836, 0.09847365290256618, 0.05468655726577662, 0.2038187180215469, 0.10526253204038248, 0.08893880086782965, 0.040337945044311825, 0.2766908178270995, 0.1319673984706449, 0.08121033302284306, -0.30422867727289093, -0.06942922295265701, 0.19143219709490675] |
711.4675 | Discovery of the upper kilo-Hz QPO from the X-ray transient Aql X-1 | We report on a comprehensive analysis of the kilo-Hz (>~600 Hz)
quasi-periodic oscillations (kHz QPOs) detected from the neutron star X-ray
transient Aquila X-1 (Aql X-1) with the Rossi X-ray Timing Explorer, between
1997 and 2007. Among kHz QPO sources, Aql X-1 is peculiar because so far only
one kHz QPO has been reported, whereas in most sources, two kHz QPOs are
usually detected (a lower and an upper kHz QPO). The identification of the QPOs
reported so far has therefore been ambiguous, although it has been proposed
that they were likely to be the lower QPO. Following up on previous work, we
confirm the identification of the QPOs previously reported as lower QPOs,
because of their high quality factors and the quality factor versus frequency
dependency, which are similar to those observed in other sources. Combining all
segments of data containing a lower QPO, we detect for the first time an upper
kHz QPO. As in other sources for which the neutron star spin frequency is
larger than 400 Hz (550.25 Hz in Aql X-1), the frequency difference between the
two kHz QPOs is close to half the spin frequency. Based on this result, we
re-examine the link between the neutron star spin and the frequency of the kHz
QPOs, to show that a model in which the separation of the lower and upper QPOs
relates to the neutron star spin frequency is still as good as any comparably
simple model.
| astro-ph | we report on a comprehensive analysis of the kilohz 600 hz quasiperiodic oscillations khz qpos detected from the neutron star xray transient aquila x1 aql x1 with the rossi xray timing explorer between 1997 and 2007 among khz qpo sources aql x1 is peculiar because so far only one khz qpo has been reported whereas in most sources two khz qpos are usually detected a lower and an upper khz qpo the identification of the qpos reported so far has therefore been ambiguous although it has been proposed that they were likely to be the lower qpo following up on previous work we confirm the identification of the qpos previously reported as lower qpos because of their high quality factors and the quality factor versus frequency dependency which are similar to those observed in other sources combining all segments of data containing a lower qpo we detect for the first time an upper khz qpo as in other sources for which the neutron star spin frequency is larger than 400 hz 55025 hz in aql x1 the frequency difference between the two khz qpos is close to half the spin frequency based on this result we reexamine the link between the neutron star spin and the frequency of the khz qpos to show that a model in which the separation of the lower and upper qpos relates to the neutron star spin frequency is still as good as any comparably simple model | [['we', 'report', 'on', 'a', 'comprehensive', 'analysis', 'of', 'the', 'kilohz', '600', 'hz', 'quasiperiodic', 'oscillations', 'khz', 'qpos', 'detected', 'from', 'the', 'neutron', 'star', 'xray', 'transient', 'aquila', 'x1', 'aql', 'x1', 'with', 'the', 'rossi', 'xray', 'timing', 'explorer', 'between', '1997', 'and', '2007', 'among', 'khz', 'qpo', 'sources', 'aql', 'x1', 'is', 'peculiar', 'because', 'so', 'far', 'only', 'one', 'khz', 'qpo', 'has', 'been', 'reported', 'whereas', 'in', 'most', 'sources', 'two', 'khz', 'qpos', 'are', 'usually', 'detected', 'a', 'lower', 'and', 'an', 'upper', 'khz', 'qpo', 'the', 'identification', 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711.4676 | Folding ion rays in comet C/2004 Q2 (Machholz) and the connection with
the solar wind | The appearance of folding ion rays in cometary comae is still not very well
understood, so our aim is to gain more insight into the role of the local solar
wind in the formation of these structures. Comet C/2004 Q2 (Machholz) was
intensively monitored during its closest approach to Earth (January 2005) with
the CCD camera Merope mounted on the Flemish 1.2m Mercator telescope, in three
different bands (Geneva U and B and Cousins I). Spectacular ion rays, thin
ionic structures rapidly folding tailward, were recorded in the U band during
one night, January 12th. Data from the SOHO satellite that was extrapolated
corotationally to the position of the comet showed that the ion rays were
formed during a sudden change in the in-situ solar wind state. We were able to
succesfully correlate a high-speed solar wind stream with the appearance of
folding ion rays. To our knowledge, this is the first clear observational
evidence that folding ion rays in cometary comae are produced by a sudden
change in the local solar wind state.
| astro-ph | the appearance of folding ion rays in cometary comae is still not very well understood so our aim is to gain more insight into the role of the local solar wind in the formation of these structures comet c2004 q2 machholz was intensively monitored during its closest approach to earth january 2005 with the ccd camera merope mounted on the flemish 12m mercator telescope in three different bands geneva u and b and cousins i spectacular ion rays thin ionic structures rapidly folding tailward were recorded in the u band during one night january 12th data from the soho satellite that was extrapolated corotationally to the position of the comet showed that the ion rays were formed during a sudden change in the insitu solar wind state we were able to succesfully correlate a highspeed solar wind stream with the appearance of folding ion rays to our knowledge this is the first clear observational evidence that folding ion rays in cometary comae are produced by a sudden change in the local solar wind state | [['the', 'appearance', 'of', 'folding', 'ion', 'rays', 'in', 'cometary', 'comae', 'is', 'still', 'not', 'very', 'well', 'understood', 'so', 'our', 'aim', 'is', 'to', 'gain', 'more', 'insight', 'into', 'the', 'role', 'of', 'the', 'local', 'solar', 'wind', 'in', 'the', 'formation', 'of', 'these', 'structures', 'comet', 'c2004', 'q2', 'machholz', 'was', 'intensively', 'monitored', 'during', 'its', 'closest', 'approach', 'to', 'earth', 'january', '2005', 'with', 'the', 'ccd', 'camera', 'merope', 'mounted', 'on', 'the', 'flemish', '12m', 'mercator', 'telescope', 'in', 'three', 'different', 'bands', 'geneva', 'u', 'and', 'b', 'and', 'cousins', 'i', 'spectacular', 'ion', 'rays', 'thin', 'ionic', 'structures', 'rapidly', 'folding', 'tailward', 'were', 'recorded', 'in', 'the', 'u', 'band', 'during', 'one', 'night', 'january', '12th', 'data', 'from', 'the', 'soho', 'satellite', 'that', 'was', 'extrapolated', 'corotationally', 'to', 'the', 'position', 'of', 'the', 'comet', 'showed', 'that', 'the', 'ion', 'rays', 'were', 'formed', 'during', 'a', 'sudden', 'change', 'in', 'the', 'insitu', 'solar', 'wind', 'state', 'we', 'were', 'able', 'to', 'succesfully', 'correlate', 'a', 'highspeed', 'solar', 'wind', 'stream', 'with', 'the', 'appearance', 'of', 'folding', 'ion', 'rays', 'to', 'our', 'knowledge', 'this', 'is', 'the', 'first', 'clear', 'observational', 'evidence', 'that', 'folding', 'ion', 'rays', 'in', 'cometary', 'comae', 'are', 'produced', 'by', 'a', 'sudden', 'change', 'in', 'the', 'local', 'solar', 'wind', 'state']] | [-0.05699863878813589, 0.20827654936294357, -0.08153925883565577, 0.07680327440490892, -0.06280641311058247, -0.09101233387775073, 0.0034941659346653547, 0.4329233563618164, -0.23536284939729812, -0.3678254350169287, 0.05378620883361086, -0.3206407501216913, -0.08871703787647575, 0.19374896933942376, -0.0991164912776537, -0.009018515051286022, 0.1519239364707347, -0.051795500610562074, -0.008798435469012643, -0.21059887190187898, 0.1876511643122548, 0.15674496512601657, 0.18438220265182811, 0.008568339697166071, 0.08442550676947493, -0.08294726080514189, -0.02246649238493595, -0.07461186214700083, -0.10571169552208709, 0.07063453616419635, 0.21512296536366718, 0.10319501810422506, 0.18409171542072011, -0.4632660038284742, -0.21520637747740126, 0.01018477485628228, 0.10639458839819266, -0.0024886365839942343, -0.04827500151504286, -0.2894634982474105, 0.024545067824380245, -0.16747466947431164, -0.16668266732773254, 0.08234509856593553, 0.059847957228520356, 0.03737540468788905, -0.1984281580645532, 0.03054359665603479, -0.0025422062547850515, 0.15201595837433388, -0.15942684617875993, -0.1059682951470288, -0.09137956498155769, 0.14348795376125875, 0.07064067606943407, 0.09389311379101666, 0.18998314007965988, -0.06258531836819743, -0.024984380207428266, 0.37734305472086277, -0.06284008485889547, 0.006718394866030168, 0.21172724488040573, -0.2812087854768844, -0.17417452877355105, 0.21969048684527506, 0.1701071435542551, 0.07091490122169321, -0.16917365015823546, 0.02619447196750347, -0.024248106518189688, 0.16408966628266744, 0.12087952492844765, -0.03277101865942682, 0.2517380950867462, 0.14777425068028197, -0.009643249337512979, 0.08841677987317197, -0.2673715421690396, -0.03108994057603891, -0.21610881858693726, -0.13188362004897541, -0.14691358792119139, 0.05216032561835647, -0.03618518385287196, -0.10265055602427163, 0.4010248670429853, 0.08224197512363336, 0.18489075817619963, -0.10133000956935743, 0.28048641256169776, 0.0014922187510188777, 0.05356635427609829, 0.1115601875178645, 0.3489198192329593, 0.07771711207447153, 0.22635956539382493, -0.22145454227154526, 0.1232147942447895, 0.05905041226180475] |
711.4677 | Reply to the Comment on "Influence of protons on the capture of
electrons by the nuclei of 7Be in the Sun" | We show that the arguments against our paper raised by B. Davids et al. are
either irrelevant or incorrect.
| astro-ph nucl-th | we show that the arguments against our paper raised by b davids et al are either irrelevant or incorrect | [['we', 'show', 'that', 'the', 'arguments', 'against', 'our', 'paper', 'raised', 'by', 'b', 'davids', 'et', 'al', 'are', 'either', 'irrelevant', 'or', 'incorrect']] | [-0.06142659740228402, 0.09221004184923674, -0.028517672007805424, -0.009061193877929136, -0.07957268712159835, -0.16508953185065797, 0.14031636994944788, 0.3120452539113007, -0.19801175314933062, -0.3655228030524756, 0.0995446284497647, -0.31371234337750237, -0.26244743679356025, 0.1373079310318357, -0.21584209554681652, 0.03619589132109755, 0.038210894177226645, -0.12686299084759267, 0.03278652158271717, -0.3957677869812438, 0.36328522880610664, 0.11388550875218291, 0.1833258928535016, 0.030689872041540712, -0.03718046366090053, 0.036776014677199875, -0.16116793899747886, 0.10015695600917465, -0.1626765366883391, 0.041874472443994726, 0.1596454719179555, 0.12484942484450967, 0.2956702575871819, -0.4146929046531257, -0.20500485951963224, 0.05528588857697813, 0.10609971415741663, 0.12995109079699768, -0.04874387224155821, -0.3569226814924102, 0.19212697338508933, -0.18845195813398613, -0.10059532358948338, -0.13887413471054874, 0.11115589973173644, -0.035094847853638624, -0.29977936140800776, 0.13317179052453293, 0.2410000813634772, 0.02976044174283743, -4.86008694248372e-05, -0.16209202014694088, -0.021250273284845446, -0.020474547557042616, 0.07093965869985129, 0.07763956847453587, 0.08694049750307672, -0.015378916440041442, -0.14626274552000196, 0.2883210029256971, -0.014139514122354356, -0.1490831082000544, 0.269292954943682, -0.004526184210063596, -0.11388322816377408, -0.010089004822810622, 0.040740274064438906, 0.12615812079686867, -0.05827131715456122, 0.12238867267181999, -0.12274526427254866, 0.14802143291423195, 0.13675937750131675, -0.0870057028032055, 0.1667561370291208, -0.06114464115939642, -0.04332593049069768, 0.05093420140053097, 0.017503853384895546, 0.004272130903126181, -0.2916666361944456, -0.07249853431590293, -0.2013229716961321, 0.06276915545918439, 0.07874253534368779, -0.10690701262731302, 0.2549876582465674, 0.2701099151255269, 0.2720792097480674, -0.009404512171290423, 0.25681622796937037, 0.08154652177625776, -0.09165065998738435, 0.18673175759613514, 0.2559142280124912, -0.0014949096734390448, 0.030326016835476224, -0.19414729174030454, 0.12760470643345462, 0.09497129610788665] |
711.4678 | Defects in affine Toda field theories | In this talk some classical and quantum aspects concerning a special kind of
integrable defect - called a jump-defect - will be reviewed. In particular,
recent results obtained in an attempt to incorporate this defect in the affine
Toda field theories, in addition to the sine-Gordon model, will be presented.
| hep-th | in this talk some classical and quantum aspects concerning a special kind of integrable defect called a jumpdefect will be reviewed in particular recent results obtained in an attempt to incorporate this defect in the affine toda field theories in addition to the sinegordon model will be presented | [['in', 'this', 'talk', 'some', 'classical', 'and', 'quantum', 'aspects', 'concerning', 'a', 'special', 'kind', 'of', 'integrable', 'defect', 'called', 'a', 'jumpdefect', 'will', 'be', 'reviewed', 'in', 'particular', 'recent', 'results', 'obtained', 'in', 'an', 'attempt', 'to', 'incorporate', 'this', 'defect', 'in', 'the', 'affine', 'toda', 'field', 'theories', 'in', 'addition', 'to', 'the', 'sinegordon', 'model', 'will', 'be', 'presented']] | [-0.08063531272668154, 0.10838818193711787, -0.07130870532165183, 0.09638509728470222, -0.09474702888822302, -0.1635722542340134, -0.057234927521463724, 0.3284802623885743, -0.2630624104132678, -0.17739424481987953, 0.12478090365952317, -0.2289819161041065, -0.22498718371733706, 0.17871617383640656, -0.15500797307554712, 0.02408140818489359, 0.05210254000539475, 0.08928256789024205, -0.09867650946166287, -0.3090780367876621, 0.32069282112841274, 0.05233659374061972, 0.24036006344125627, 0.10257199493811485, 0.033972154847009384, 0.007842614117296452, -0.03398892077359748, 0.03997771410231895, -0.20315249854738407, 0.13080072179040375, 0.333088436223408, 0.060280026640108925, 0.21109907257747143, -0.4643091356500666, -0.21781701027871447, 0.07282337922840676, 0.1799870519799755, 0.1806001123437222, -0.08142295200377703, -0.3113926214344324, 0.041541687794961035, -0.17927661245847318, -0.22074408785618366, -0.020023110174038943, -0.02753195738013675, 0.01705773911894636, -0.1838021199714313, 0.0022736415910990316, 0.07702924871936123, 0.03705498976434799, -0.049859729159544126, -0.06855290777426451, 0.05248292686140284, 0.04887065944321295, 0.03205348101216666, 0.08083535716968014, 0.04819985814987028, -0.14267425330236871, -0.2018229141236937, 0.38659507325513565, -0.03675636276602745, -0.2526858045937533, 0.1352989005440093, -0.12320713389744149, -0.25859411610686717, 0.04132098836596421, 0.1548596430133949, 0.06227514678810505, -0.16229338224660209, 0.12157547148811493, -0.046962454053077925, 0.10239321350100193, 0.027246414584682344, 0.03614999710562381, 0.21860662328594543, 0.1125041944163039, -0.02387085315236386, 0.16181623004376888, -0.004952203839066181, -0.18225128566251791, -0.3784114583692652, -0.19031336356667763, -0.11387787658245639, 0.08701880476833816, -0.015416132593019667, -0.14160705928472764, 0.4167400129297946, 0.1856721625601417, 0.1606048388862388, -0.014401994021411272, 0.1694530924742526, 0.11895919710080674, 0.03981857306938222, -0.02222940000764867, 0.23325766183428487, 0.17409550327252835, 0.13787416560932042, -0.16684963554143906, -0.08196712888410672, 0.12430441718390013] |
711.4679 | Concatenating Variational Principles and the Kinetic
Stress-Energy-Momentum Tensor | We show how to "concatenate" variational principles over different bases into
one over a single base, thereby providing a unified Lagrangian treatment of
interacting systems. As an example we study a Klein-Gordon field interacting
with a mesically charged particle. We employ our method to give a novel
group-theoretic derivation of the kinetic stress-energy-momentum tensor density
corresponding to the particle.
| math-ph math.MP | we show how to concatenate variational principles over different bases into one over a single base thereby providing a unified lagrangian treatment of interacting systems as an example we study a kleingordon field interacting with a mesically charged particle we employ our method to give a novel grouptheoretic derivation of the kinetic stressenergymomentum tensor density corresponding to the particle | [['we', 'show', 'how', 'to', 'concatenate', 'variational', 'principles', 'over', 'different', 'bases', 'into', 'one', 'over', 'a', 'single', 'base', 'thereby', 'providing', 'a', 'unified', 'lagrangian', 'treatment', 'of', 'interacting', 'systems', 'as', 'an', 'example', 'we', 'study', 'a', 'kleingordon', 'field', 'interacting', 'with', 'a', 'mesically', 'charged', 'particle', 'we', 'employ', 'our', 'method', 'to', 'give', 'a', 'novel', 'grouptheoretic', 'derivation', 'of', 'the', 'kinetic', 'stressenergymomentum', 'tensor', 'density', 'corresponding', 'to', 'the', 'particle']] | [-0.11347810958977789, 0.09825560685015355, -0.13520138428129, 0.041443379716305385, -0.09622836715927155, -0.12335450260835731, 0.0011691157605723832, 0.32233938573586657, -0.24976259423419833, -0.2943617255780204, -0.01773574691494638, -0.23484328761696815, -0.14113672275160408, 0.147750613620858, 0.012912372721294904, -0.017944882495393014, 0.04335251139428724, 0.07849712323012023, -0.1110848843537528, -0.18800601197792025, 0.3331887129742395, 0.04750102936643465, 0.24024344158583674, 0.013472920524534481, 0.18506140842359384, 0.0729990965317421, 0.000922600152613274, 0.04839451428791829, -0.14350159297665133, 0.16812652788638813, 0.21720077807147956, 0.12839990305104132, 0.2816783893082676, -0.4650403216224292, -0.24288450024925687, 0.08095535698571596, 0.1505686468685624, 0.1712184690886402, -0.08647622683502991, -0.2622148591286406, 0.03871085104564655, -0.22687781301872997, -0.14329644685996504, -0.12983555216663356, -0.06440933829711365, 0.005739283342524592, -0.28775148405211753, 0.05733752090098529, 0.0316013819377484, 0.043776709281293485, -0.10866711926967676, -0.10134157570528574, 0.03692792348186325, 0.08026601482536001, 0.03628098145769588, 0.0024959597664339275, 0.14183524674093673, -0.11089106122481412, -0.13678556747317058, 0.3783379232446695, -0.10309846879079423, -0.2763050692477103, 0.2134462446134923, -0.054968973364809465, -0.1309474202451007, 0.11931417513124902, 0.1964083731913104, 0.15725233678802333, -0.19205334936750346, 0.05921881505416642, -0.07846594614715412, 0.12827960740582184, 0.01114519004677904, 0.017937498247443603, 0.22824256551644667, 0.16873403934858225, 0.06845757673526633, 0.17172505757932005, -0.03551667450188563, -0.13938165121262186, -0.358407154936215, -0.23058320990169484, -0.14586451546899204, 0.11652622161561559, -0.07009561807880628, -0.18124170502615644, 0.4339989484769517, 0.16190980380031697, 0.183726340115817, 0.0792464001208608, 0.28929578467946626, 0.1048673863667224, 0.041143716971293605, 0.03871222273928338, 0.18274886578578373, 0.1965102137805059, 0.06396183347056524, -0.17640742378164853, -0.12625573694320588, 0.13288719824049622] |
711.468 | Chern-Simons D=3, N=6 superfield theory | We construct the D=3, N=5 harmonic superspace using the SO(5)/U(1) x U(1)
harmonics. Three gauge harmonic superfields satisfy the off-shell constraints
of the Grassmann and harmonic analyticities. The corresponding component
supermultiplet contains the gauge field A_m and an infinite number of bosonic
and fermionic fields with the SO(5) vector indices arising from decompositions
of gauge superfields in harmonics and Grassmann coordinates. The nonabelian
superfield Chern-Simons action is invariant with respect to the N=6
superconformal supersymmetry realized on the N=5 superfields. The component
Lagrangian contains the Chern-Simons interaction of A_m and an infinite number
of bilinear and trilinear interactions of auxiliary fields. The fermionic and
bosonic auxiliary fields from the infinite N=5 multiplet vanish on-shell.
| hep-th | we construct the d3 n5 harmonic superspace using the so5u1 x u1 harmonics three gauge harmonic superfields satisfy the offshell constraints of the grassmann and harmonic analyticities the corresponding component supermultiplet contains the gauge field a_m and an infinite number of bosonic and fermionic fields with the so5 vector indices arising from decompositions of gauge superfields in harmonics and grassmann coordinates the nonabelian superfield chernsimons action is invariant with respect to the n6 superconformal supersymmetry realized on the n5 superfields the component lagrangian contains the chernsimons interaction of a_m and an infinite number of bilinear and trilinear interactions of auxiliary fields the fermionic and bosonic auxiliary fields from the infinite n5 multiplet vanish onshell | [['we', 'construct', 'the', 'd3', 'n5', 'harmonic', 'superspace', 'using', 'the', 'so5u1', 'x', 'u1', 'harmonics', 'three', 'gauge', 'harmonic', 'superfields', 'satisfy', 'the', 'offshell', 'constraints', 'of', 'the', 'grassmann', 'and', 'harmonic', 'analyticities', 'the', 'corresponding', 'component', 'supermultiplet', 'contains', 'the', 'gauge', 'field', 'a_m', 'and', 'an', 'infinite', 'number', 'of', 'bosonic', 'and', 'fermionic', 'fields', 'with', 'the', 'so5', 'vector', 'indices', 'arising', 'from', 'decompositions', 'of', 'gauge', 'superfields', 'in', 'harmonics', 'and', 'grassmann', 'coordinates', 'the', 'nonabelian', 'superfield', 'chernsimons', 'action', 'is', 'invariant', 'with', 'respect', 'to', 'the', 'n6', 'superconformal', 'supersymmetry', 'realized', 'on', 'the', 'n5', 'superfields', 'the', 'component', 'lagrangian', 'contains', 'the', 'chernsimons', 'interaction', 'of', 'a_m', 'and', 'an', 'infinite', 'number', 'of', 'bilinear', 'and', 'trilinear', 'interactions', 'of', 'auxiliary', 'fields', 'the', 'fermionic', 'and', 'bosonic', 'auxiliary', 'fields', 'from', 'the', 'infinite', 'n5', 'multiplet', 'vanish', 'onshell']] | [-0.23173753794414542, 0.29885321555981637, 0.01149297913328324, 0.05658033124760486, -0.11634070231307266, -0.15226180603381542, -0.11896086882890523, 0.3118240194049029, -0.1303478074054011, -0.23828393815598342, 0.038627237294784095, -0.3032900472872157, -0.1449222205643567, 0.015045223707658758, 0.01915263681285149, 0.01120044445140963, -0.0654103259429278, 0.15121159835232306, -0.11274387544037494, -0.3248309330948818, 0.32571438479080667, -0.1156795132221176, 0.18246269308492147, -0.003087339188686708, 0.20247025984397107, 0.05457808289973609, 0.009393557996810537, -0.12939431554992245, -0.025602201811672574, 0.15342636478125257, 0.2150763144981388, 0.04215804483758005, 0.01693170842235811, -0.44088335137451645, -0.15167487134942703, 0.128793787796347, 0.20027559682463122, 0.07880683237505434, 0.041072461872559404, -0.2896226927456734, -0.05506325628509564, -0.19259220494402457, -0.1685055215107442, -0.14545900877400308, -0.008799378429457085, -0.11898982313881933, -0.31424165301568874, 0.07788491111498046, 0.026973707410836576, 0.14501635215154526, -0.056461304660054105, -0.13787747153072757, -0.1760229936685512, -0.0016084759685713634, 0.14496003496213364, 0.0784700030926615, 0.12420519458261871, -0.24713523169944426, -0.13707427462909075, 0.3716653652686988, -0.11850619421389975, -0.3044622024867387, 0.1224829470244261, -0.07053334571563318, -0.22297901015283655, 0.12681491226029987, 0.08575137171366837, 0.14384476049283965, -0.09561958042822316, 0.31907231891084775, -0.0555328143084735, 0.1318027106468129, 0.11184426009720932, 0.05185049162369914, 0.21959621889570283, -0.028441208035610947, 0.07793318828056871, 0.16449082072049512, 0.005938081245918849, -0.080904858425853, -0.48001520126332753, -0.15586778743242005, -0.14381680093845764, 0.10248635677554835, -0.1833851329985629, -0.13123600233131938, 0.4155622854482679, 0.09826491578622201, 0.12544198699740577, 0.049844468688279124, 0.19567917699439336, 0.13411451533716995, 0.14340301947173686, -0.007768736229138037, 0.191200308508932, 0.2921380193953493, -0.010434544579315502, -0.2618167603767551, -0.3182098664821381, 0.2691218701018169] |
711.4681 | Proceedings to the 10th Workshop 'What Comes Beyond the Standard
Models', Bled, July 17. - 27., 2007, Slovenia | Contents: 1. Finestructure Constants at the Planck Scale from Multiple Point
Principle (D.L.Bennett, L.V. Laperashvili and H.B. Nielsen) 2. Random Dynamics
in Starting Levels (D. Bennett, A. Kleppe in H.B. Nielsen), 3. Families of
Quarks and Leptons and Their Mass Matrices from the Approach Unifying Spins and
Charges: Prediction for the Fourth Family (G. Bregar, M. Breskvar, D. Lukman
and N.S. Mankoc Borstnik) 4. Fermion-Fermion and Boson-Boson Amplitudes:
Surprising Similarities (V.V. Dvoeglazov) 5. Antisymmetric Tensor Fields,
4-Vector Fields, Indefinite Metrics and Normalization (V.V. Dvoeglazov) 6.
Quantum Gates and Quantum Algorithms with Clifford Algebra Technique (M.
Gregoric and N.S. Mankoc Borstnik) 7. From the Starting Lagrange Density to the
Effective Fields for Spinors in the Approach Unifying Spins and Charges (N.S.
Mankoc Borstnik) 8. New Generations of Particles in the Universe (M.Yu.
Khlopov) 9. A Subversive View of Modern 'Physics' (R. Mirman) 10. Mass Spectra
are Inherent in Geometry: an Analysis Using the Only Conformal Group Allowing a
Universe (R. Mirman) 11. Complex Action, Prearrangement for Future and Higgs
Broadening (H.B. Nielsen and M. Ninomiya) 12. Discussion on Dark Matter
Candidates from the Approach Unifying Spins and Charges (G. Bregar and N.S.
Mankoc Borstnik) 13. Discussion Section Summary on Dark Matter Particle
Properties (M.Yu. Khlopov and N.S. Mankoc Borstnik)
| hep-ph | contents 1 finestructure constants at the planck scale from multiple point principle dlbennett lv laperashvili and hb nielsen 2 random dynamics in starting levels d bennett a kleppe in hb nielsen 3 families of quarks and leptons and their mass matrices from the approach unifying spins and charges prediction for the fourth family g bregar m breskvar d lukman and ns mankoc borstnik 4 fermionfermion and bosonboson amplitudes surprising similarities vv dvoeglazov 5 antisymmetric tensor fields 4vector fields indefinite metrics and normalization vv dvoeglazov 6 quantum gates and quantum algorithms with clifford algebra technique m gregoric and ns mankoc borstnik 7 from the starting lagrange density to the effective fields for spinors in the approach unifying spins and charges ns mankoc borstnik 8 new generations of particles in the universe myu khlopov 9 a subversive view of modern physics r mirman 10 mass spectra are inherent in geometry an analysis using the only conformal group allowing a universe r mirman 11 complex action prearrangement for future and higgs broadening hb nielsen and m ninomiya 12 discussion on dark matter candidates from the approach unifying spins and charges g bregar and ns mankoc borstnik 13 discussion section summary on dark matter particle properties myu khlopov and ns mankoc borstnik | [['contents', '1', 'finestructure', 'constants', 'at', 'the', 'planck', 'scale', 'from', 'multiple', 'point', 'principle', 'dlbennett', 'lv', 'laperashvili', 'and', 'hb', 'nielsen', '2', 'random', 'dynamics', 'in', 'starting', 'levels', 'd', 'bennett', 'a', 'kleppe', 'in', 'hb', 'nielsen', '3', 'families', 'of', 'quarks', 'and', 'leptons', 'and', 'their', 'mass', 'matrices', 'from', 'the', 'approach', 'unifying', 'spins', 'and', 'charges', 'prediction', 'for', 'the', 'fourth', 'family', 'g', 'bregar', 'm', 'breskvar', 'd', 'lukman', 'and', 'ns', 'mankoc', 'borstnik', '4', 'fermionfermion', 'and', 'bosonboson', 'amplitudes', 'surprising', 'similarities', 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711.4682 | Approximate $w_\phi\sim\Omega_\phi$ Relations in Quintessence Models | Quintessence field is a widely-studied candidate of dark energy. There is
"tracker solution" in quintessence models, in which evolution of the field
$\phi$ at present times is not sensitive to its initial conditions. When the
energy density of dark energy is neglectable ($\Omega_\phi\ll1$), evolution of
the tracker solution can be well analysed from "tracker equation". In this
paper, we try to study evolution of the quintessence field from "full tracker
equation", which is valid for all spans of $\Omega_\phi$. We get stable fixed
points of $w_\phi$ and $\Omega_\phi$ (noted as $\hat w_\phi$ and
$\hat\Omega_\phi$) from the "full tracker equation", i.e., $w_\phi$ and
$\Omega_\phi$ will always approach $\hat w_\phi$ and $\hat\Omega_\phi$
respectively. Since $\hat w_\phi$ and $\hat\Omega_\phi$ are analytic functions
of $\phi$, analytic relation of $\hat w_\phi\sim\hat\Omega_\phi$ can be
obtained, which is a good approximation for the $w_\phi\sim\Omega_\phi$
relation and can be obtained for the most type of quintessence potentials. By
using this approximation, we find that inequalities $\hat w_\phi<w_\phi$ and
$\hat\Omega_\phi<\Omega_\phi$ are statisfied if the $w_\phi$ (or $\hat w_\phi$)
is decreasing with time. In this way, the potential $U(\phi)$ can be
constrained directly from observations, by no need of solving the equations of
motion numerically.
| astro-ph gr-qc | quintessence field is a widelystudied candidate of dark energy there is tracker solution in quintessence models in which evolution of the field phi at present times is not sensitive to its initial conditions when the energy density of dark energy is neglectable omega_phill1 evolution of the tracker solution can be well analysed from tracker equation in this paper we try to study evolution of the quintessence field from full tracker equation which is valid for all spans of omega_phi we get stable fixed points of w_phi and omega_phi noted as hat w_phi and hatomega_phi from the full tracker equation ie w_phi and omega_phi will always approach hat w_phi and hatomega_phi respectively since hat w_phi and hatomega_phi are analytic functions of phi analytic relation of hat w_phisimhatomega_phi can be obtained which is a good approximation for the w_phisimomega_phi relation and can be obtained for the most type of quintessence potentials by using this approximation we find that inequalities hat w_phiw_phi and hatomega_phiomega_phi are statisfied if the w_phi or hat w_phi is decreasing with time in this way the potential uphi can be constrained directly from observations by no need of solving the equations of motion numerically | [['quintessence', 'field', 'is', 'a', 'widelystudied', 'candidate', 'of', 'dark', 'energy', 'there', 'is', 'tracker', 'solution', 'in', 'quintessence', 'models', 'in', 'which', 'evolution', 'of', 'the', 'field', 'phi', 'at', 'present', 'times', 'is', 'not', 'sensitive', 'to', 'its', 'initial', 'conditions', 'when', 'the', 'energy', 'density', 'of', 'dark', 'energy', 'is', 'neglectable', 'omega_phill1', 'evolution', 'of', 'the', 'tracker', 'solution', 'can', 'be', 'well', 'analysed', 'from', 'tracker', 'equation', 'in', 'this', 'paper', 'we', 'try', 'to', 'study', 'evolution', 'of', 'the', 'quintessence', 'field', 'from', 'full', 'tracker', 'equation', 'which', 'is', 'valid', 'for', 'all', 'spans', 'of', 'omega_phi', 'we', 'get', 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711.4683 | Functional integral with $\phi^4$ term in the action beyond standard
perturbative methods II | To avoid problems with infinite measure, the functional integral for harmonic
oscillator can be calculated by time - slicing method with continuum limit
procedure proposed Gelfand and Yaglom. In previous article we proved by
nonperturbative calculation the generalized Gelfand-Yaglom equation for
anharmonic oscillator with positive or negative mass term. In this article we
prove by step-by-step the calculation of the correction function to the
Gelfand-Yaglom equation for an-harmonic oscillator.
| hep-th | to avoid problems with infinite measure the functional integral for harmonic oscillator can be calculated by time slicing method with continuum limit procedure proposed gelfand and yaglom in previous article we proved by nonperturbative calculation the generalized gelfandyaglom equation for anharmonic oscillator with positive or negative mass term in this article we prove by stepbystep the calculation of the correction function to the gelfandyaglom equation for anharmonic oscillator | [['to', 'avoid', 'problems', 'with', 'infinite', 'measure', 'the', 'functional', 'integral', 'for', 'harmonic', 'oscillator', 'can', 'be', 'calculated', 'by', 'time', 'slicing', 'method', 'with', 'continuum', 'limit', 'procedure', 'proposed', 'gelfand', 'and', 'yaglom', 'in', 'previous', 'article', 'we', 'proved', 'by', 'nonperturbative', 'calculation', 'the', 'generalized', 'gelfandyaglom', 'equation', 'for', 'anharmonic', 'oscillator', 'with', 'positive', 'or', 'negative', 'mass', 'term', 'in', 'this', 'article', 'we', 'prove', 'by', 'stepbystep', 'the', 'calculation', 'of', 'the', 'correction', 'function', 'to', 'the', 'gelfandyaglom', 'equation', 'for', 'anharmonic', 'oscillator']] | [-0.06351544187568567, 0.08547822295633309, -0.09008186982314595, 0.07882264161119512, -0.06605218407040571, -0.17144202106796644, 0.04776026633814635, 0.3424951543154962, -0.23212059557109194, -0.25336856972974015, 0.03120127718498492, -0.27622037097428215, -0.1544958344174494, 0.18694996922482354, -0.03430276145638131, 0.10890068659586284, 0.08909559023895246, 0.014581495676847064, -0.045567588360213185, -0.2049028150846853, 0.3405032004366684, 0.06577044349293881, 0.19913098448887467, 0.08632624812205048, 0.12737138107117704, 0.045377478306524124, -0.04234343065935023, -0.01578057329307365, -0.1796393591849825, 0.09835594806217533, 0.2464767118970699, -0.008238634563681176, 0.28969481318969936, -0.3925639567622805, -0.23117048489203787, 0.0960773190976504, 0.16815987440949196, 0.13905314508113353, 0.010613944124676944, -0.287146392661859, 0.02429998108624097, -0.1960523281013593, -0.21329268683706792, -0.14415807446108803, 0.024182832101359963, 0.04584762519773315, -0.25895031389561207, 0.1321310561889892, 0.0430056448573904, 0.005154936848317876, -0.09033057063489276, -0.1082719909164178, 0.02853088510934921, 0.009659967018866582, 0.039541099829982745, 0.03675556703135097, 0.07889255208839827, -0.02124850736479001, -0.09597634970593978, 0.3372553592986044, -0.1577909840270877, -0.26484092741328125, 0.03901473608771887, -0.1348228575045462, -0.1402296612641829, 0.10820980409762877, 0.08738079347634031, 0.0998329935280387, -0.18518748009741745, 0.13109868035483968, 0.043025377494118666, 0.11832593311213285, 0.1141399998930009, -0.03887455939205692, 0.08072119244538686, 0.06971403027829878, 0.05020904797129333, 0.18189918278435738, 0.024299826226471102, -0.1190384302959394, -0.33380926953738227, -0.15374037364552565, -0.2114631839315681, 0.10121016498819432, -0.08893807257695965, -0.20436402782797813, 0.35588090712040227, 0.09627982340872918, 0.10094040376819013, 0.12418309393722345, 0.2870015144786414, 0.2946846682907027, 0.04083713649957003, 0.008824426406884895, 0.20842390817672232, 0.20366389063351295, 0.09341266917010002, -0.28193538197699713, -0.06938005579115056, 0.21468122098047068] |
711.4684 | Quantum Hall wave functions on the torus | We present explicit expressions for a large set of hierarchy wave functions
on the torus. Included are the Laughlin states, the states in the positive Jain
series, and recently observed states at e.g. $\nu = 4/11$. The techniques we
use constitute a nontrivial extension of the conformal field theory methods
developed earlier to construct the corresponding wave functions in disc
geometry.
| cond-mat.mes-hall | we present explicit expressions for a large set of hierarchy wave functions on the torus included are the laughlin states the states in the positive jain series and recently observed states at eg nu 411 the techniques we use constitute a nontrivial extension of the conformal field theory methods developed earlier to construct the corresponding wave functions in disc geometry | [['we', 'present', 'explicit', 'expressions', 'for', 'a', 'large', 'set', 'of', 'hierarchy', 'wave', 'functions', 'on', 'the', 'torus', 'included', 'are', 'the', 'laughlin', 'states', 'the', 'states', 'in', 'the', 'positive', 'jain', 'series', 'and', 'recently', 'observed', 'states', 'at', 'eg', 'nu', '411', 'the', 'techniques', 'we', 'use', 'constitute', 'a', 'nontrivial', 'extension', 'of', 'the', 'conformal', 'field', 'theory', 'methods', 'developed', 'earlier', 'to', 'construct', 'the', 'corresponding', 'wave', 'functions', 'in', 'disc', 'geometry']] | [-0.14186472944760073, 0.0954352619960749, -0.08059393129466723, 0.1355135856506725, -0.04547603267710656, -0.07551995034640034, 0.029313371006477004, 0.3034950632912417, -0.1798017516732216, -0.2641227391858896, 0.07883920292758072, -0.2680715863592923, -0.16308232862502337, 0.18543861998866001, 0.04650732847318674, 0.10359625206328929, -0.01321088009669135, -0.005603200212741892, -0.10889704936804871, -0.2027062167568753, 0.3506790024616445, -0.004031927029912671, 0.24583168593235313, 0.026350877232228717, 0.1002249567148586, -0.001107680603551368, -0.042518946167547256, -0.03403944643990447, -0.18639359544807424, 0.11851165231103854, 0.24962869801868995, 0.08377630290730546, 0.22209845402588446, -0.44269584223317604, -0.18851616092336673, 0.041463707806542516, 0.09178396990828333, 0.1385404998747011, -0.010835130425402895, -0.3015826988344391, 0.03622191219280164, -0.19793451329072317, -0.17804761747053513, -0.0991038496295611, 0.05503860164317302, -0.02280756717082113, -0.2404280453027847, 0.09159586864213148, 0.022185504455895472, 0.03698011192803582, -0.06629285482534518, -0.17161970526600878, -0.011403208105669667, 0.09947574441321194, -0.007232614575574795, 0.06760664737278906, 0.08250095522962511, -0.12295481430677076, -0.16677977923536674, 0.28324562441557644, -0.0880668788217008, -0.25293850790088374, 0.20144876468305786, -0.16793237457362314, -0.15601182014215736, 0.13317626218001047, 0.1743769275955856, 0.11024381392247354, -0.04042779360897839, 0.13560008654118672, -0.09803252518904629, 0.12102636275812984, 0.06832119716176142, 0.032913264880577726, 0.20083750313303123, 0.03934050022702043, 0.04161172026457886, 0.17953824383827546, -0.05495798821017767, -0.08055464564046512, -0.34502016597737867, -0.14242207334997753, -0.1848966422335555, 0.05186890089874699, -0.014839095226246475, -0.19706348661954204, 0.45133169228211045, 0.06036090899312209, 0.19583500967516254, 0.06962840435977947, 0.19629193820680182, 0.17520625187535188, 0.07761900466866792, 0.10724141788668931, 0.19590893880813381, 0.1645029654415945, 0.07380991236423143, -0.18579410138190725, -0.029324921686202286, 0.12119934835160771] |
711.4685 | A new dissipation term for finite-difference simulations in Relativity | We present a new numerical dissipation algorithm, which can be efficiently
used in combination with centered finite-difference methods. We start from a
formulation of centered finite-volume methods for Numerical Relativity, in
which third-order space accuracy can be obtained by employing just
piecewise-linear reconstruction. We obtain a simplified version of the
algorithm, which can be viewed as a centered finite-difference method plus some
'adaptive dissipation'. The performance of this algorithm is confirmed by
numerical results obtained from 3D black hole simulations.
| gr-qc | we present a new numerical dissipation algorithm which can be efficiently used in combination with centered finitedifference methods we start from a formulation of centered finitevolume methods for numerical relativity in which thirdorder space accuracy can be obtained by employing just piecewiselinear reconstruction we obtain a simplified version of the algorithm which can be viewed as a centered finitedifference method plus some adaptive dissipation the performance of this algorithm is confirmed by numerical results obtained from 3d black hole simulations | [['we', 'present', 'a', 'new', 'numerical', 'dissipation', 'algorithm', 'which', 'can', 'be', 'efficiently', 'used', 'in', 'combination', 'with', 'centered', 'finitedifference', 'methods', 'we', 'start', 'from', 'a', 'formulation', 'of', 'centered', 'finitevolume', 'methods', 'for', 'numerical', 'relativity', 'in', 'which', 'thirdorder', 'space', 'accuracy', 'can', 'be', 'obtained', 'by', 'employing', 'just', 'piecewiselinear', 'reconstruction', 'we', 'obtain', 'a', 'simplified', 'version', 'of', 'the', 'algorithm', 'which', 'can', 'be', 'viewed', 'as', 'a', 'centered', 'finitedifference', 'method', 'plus', 'some', 'adaptive', 'dissipation', 'the', 'performance', 'of', 'this', 'algorithm', 'is', 'confirmed', 'by', 'numerical', 'results', 'obtained', 'from', '3d', 'black', 'hole', 'simulations']] | [-0.07191846792775322, -0.028965524057275614, -0.16304439775412902, 0.04772278268355876, -0.06792105616186746, -0.1586956617888063, 0.018842248580767773, 0.40249936370528305, -0.24561135910917073, -0.3137031518854201, 0.1331788614450488, -0.19798219725489616, -0.17671791817992927, 0.26659118393436076, -0.04929382565896958, 0.09124331949278712, 0.11768555557355284, -0.03479782652575523, -0.1346185033558868, -0.2239088576345239, 0.25443901439430194, 0.09290310743381269, 0.17663788556237706, -0.0334143559448421, 0.09365091195795686, -0.025497605628333985, -0.030063410615548493, 0.13043414642415882, -0.1348016308489605, 0.11409723336109892, 0.22482806527987123, 0.1060419405810535, 0.2974410521332175, -0.4096936465008184, -0.2493903616326861, 0.007849408377660438, 0.18458189435768874, 0.16615288403263548, -0.10863947698553603, -0.3195089065411594, 0.08368720608996227, -0.17708134608110412, -0.13076572417048737, -0.13294273192295805, -0.1448675511404872, 0.0318208884971682, -0.3292930223979056, 0.12183019896619954, 0.009445077474811114, 0.00836587427475024, -0.045815268449950965, -0.11006900014908752, 0.0038976022973656655, 0.05361233197181718, -0.017655312959686854, 0.055566804879345, 0.07595852736849337, -0.025644031513365917, -0.16310242602194194, 0.4143350839614868, -0.10612514498643577, -0.271346295857802, 0.13962654480710626, -0.10949760420480743, -0.09270140932640061, 0.1985924654698465, 0.20410602221963928, 0.18434488920029252, -0.13217211606679485, 0.06937397614819929, -0.03479441303061322, 0.17365591962006874, 0.05917041412321851, -0.03641197618562728, 0.18986599475319962, 0.18713671256555245, 0.016771886812057345, 0.1511556972080143, -0.10262533753993922, -0.08972926423884928, -0.3080328861484304, -0.10404099548468367, -0.2407823220215505, 0.037742804392473774, -0.11624384089955128, -0.134243494347902, 0.3444401796848979, 0.14606361051555722, 0.14510877716820686, 0.07202395711501594, 0.33035034749191255, 0.16171493601141265, 0.04419801174663007, 0.12029559766524471, 0.22816277276324398, 0.08635939282248728, 0.08756779213435947, -0.1949874784098938, -0.03466835175058804, 0.18430342047358864] |
711.4686 | Measuring the non-thermal pressure in early type galaxy atmospheres: A
comparison of X-ray and optical potential profiles in M87 and NGC1399 | We compare the gravitational potential profiles of the elliptical galaxies
NGC 4486 (M87) and NGC 1399 (the central galaxy in the Fornax cluster) derived
from X-ray and optical data. This comparison suggests that the combined
contribution of cosmic rays, magnetic fields and micro-turbulence to the
pressure is ~10% of the gas thermal pressure in the cores of NGC 1399 and M87,
although the uncertainties in our model assumptions (e.g., spherical symmetry)
are sufficiently large that the contribution could be consistent with zero. In
the absence of any other form of non-thermal pressure support, these upper
bounds translate into upper limits on the magnetic field of ~10-20 muG at a
distance of 1'-2' from the centers of NGC1399 and M87. We show that these
results are consistent with the current paradigm of cool cluster cores, based
on the assumption that AGN activity regulates the thermal state of the gas by
injecting energy into the intra-cluster medium. The limit of ~10-20% on the
energy density in the form of relativistic protons applies not only to the
current state of the gas, but essentially to the entire history of the
intra-cluster medium, provided that cosmic ray protons evolve adiabatically and
that their spatial diffusion is suppressed.
| astro-ph | we compare the gravitational potential profiles of the elliptical galaxies ngc 4486 m87 and ngc 1399 the central galaxy in the fornax cluster derived from xray and optical data this comparison suggests that the combined contribution of cosmic rays magnetic fields and microturbulence to the pressure is 10 of the gas thermal pressure in the cores of ngc 1399 and m87 although the uncertainties in our model assumptions eg spherical symmetry are sufficiently large that the contribution could be consistent with zero in the absence of any other form of nonthermal pressure support these upper bounds translate into upper limits on the magnetic field of 1020 mug at a distance of 12 from the centers of ngc1399 and m87 we show that these results are consistent with the current paradigm of cool cluster cores based on the assumption that agn activity regulates the thermal state of the gas by injecting energy into the intracluster medium the limit of 1020 on the energy density in the form of relativistic protons applies not only to the current state of the gas but essentially to the entire history of the intracluster medium provided that cosmic ray protons evolve adiabatically and that their spatial diffusion is suppressed | [['we', 'compare', 'the', 'gravitational', 'potential', 'profiles', 'of', 'the', 'elliptical', 'galaxies', 'ngc', '4486', 'm87', 'and', 'ngc', '1399', 'the', 'central', 'galaxy', 'in', 'the', 'fornax', 'cluster', 'derived', 'from', 'xray', 'and', 'optical', 'data', 'this', 'comparison', 'suggests', 'that', 'the', 'combined', 'contribution', 'of', 'cosmic', 'rays', 'magnetic', 'fields', 'and', 'microturbulence', 'to', 'the', 'pressure', 'is', '10', 'of', 'the', 'gas', 'thermal', 'pressure', 'in', 'the', 'cores', 'of', 'ngc', '1399', 'and', 'm87', 'although', 'the', 'uncertainties', 'in', 'our', 'model', 'assumptions', 'eg', 'spherical', 'symmetry', 'are', 'sufficiently', 'large', 'that', 'the', 'contribution', 'could', 'be', 'consistent', 'with', 'zero', 'in', 'the', 'absence', 'of', 'any', 'other', 'form', 'of', 'nonthermal', 'pressure', 'support', 'these', 'upper', 'bounds', 'translate', 'into', 'upper', 'limits', 'on', 'the', 'magnetic', 'field', 'of', '1020', 'mug', 'at', 'a', 'distance', 'of', '12', 'from', 'the', 'centers', 'of', 'ngc1399', 'and', 'm87', 'we', 'show', 'that', 'these', 'results', 'are', 'consistent', 'with', 'the', 'current', 'paradigm', 'of', 'cool', 'cluster', 'cores', 'based', 'on', 'the', 'assumption', 'that', 'agn', 'activity', 'regulates', 'the', 'thermal', 'state', 'of', 'the', 'gas', 'by', 'injecting', 'energy', 'into', 'the', 'intracluster', 'medium', 'the', 'limit', 'of', '1020', 'on', 'the', 'energy', 'density', 'in', 'the', 'form', 'of', 'relativistic', 'protons', 'applies', 'not', 'only', 'to', 'the', 'current', 'state', 'of', 'the', 'gas', 'but', 'essentially', 'to', 'the', 'entire', 'history', 'of', 'the', 'intracluster', 'medium', 'provided', 'that', 'cosmic', 'ray', 'protons', 'evolve', 'adiabatically', 'and', 'that', 'their', 'spatial', 'diffusion', 'is', 'suppressed']] | [-0.08882691721366535, 0.14077712908235787, -0.08714449843689982, 0.07842012823919486, -0.05593348709018236, -0.006839789447874712, 0.03171260288562121, 0.3929352955663292, -0.19611913969125508, -0.331136281413985, 0.03496185314022647, -0.28008733509025846, 0.019335612764793078, 0.21551469350669514, 0.02765522342091518, -0.05974087598383784, 0.0463494098328944, -0.014219341196321648, -0.012682624512209828, -0.24742406342875928, 0.3298806284824983, 0.08851737081729279, 0.23242880842359415, 0.040122587658152936, 0.07770042971815694, -0.07851681066304216, -0.03568313315079497, 0.007922713332832447, -0.10375126029284192, 0.07735288545737053, 0.17018647232950834, 0.09212874216222539, 0.207297011407028, -0.4506127254330906, -0.23528408556213154, 0.06663795987034006, 0.18029904703796312, 0.04225724757295744, -0.07025104572049118, -0.2750629547598033, 0.06960025774326468, -0.1855848391076981, 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711.4687 | A superstatistical model of metastasis and cancer survival | We introduce a superstatistical model for the progression statistics of
malignant cancer cells. The metastatic cascade is modeled as a complex
nonequilibrium system with several macroscopic pathways and inverse-chi-square
distributed parameters of the underlying Poisson processes. The predictions of
the model are in excellent agreement with observed survival time probability
distributions of breast cancer patients.
| physics.med-ph cond-mat.stat-mech physics.bio-ph | we introduce a superstatistical model for the progression statistics of malignant cancer cells the metastatic cascade is modeled as a complex nonequilibrium system with several macroscopic pathways and inversechisquare distributed parameters of the underlying poisson processes the predictions of the model are in excellent agreement with observed survival time probability distributions of breast cancer patients | [['we', 'introduce', 'a', 'superstatistical', 'model', 'for', 'the', 'progression', 'statistics', 'of', 'malignant', 'cancer', 'cells', 'the', 'metastatic', 'cascade', 'is', 'modeled', 'as', 'a', 'complex', 'nonequilibrium', 'system', 'with', 'several', 'macroscopic', 'pathways', 'and', 'inversechisquare', 'distributed', 'parameters', 'of', 'the', 'underlying', 'poisson', 'processes', 'the', 'predictions', 'of', 'the', 'model', 'are', 'in', 'excellent', 'agreement', 'with', 'observed', 'survival', 'time', 'probability', 'distributions', 'of', 'breast', 'cancer', 'patients']] | [-0.04545969183177308, 0.12595463449273397, -0.06173301334665329, 0.14053396674744026, 0.044942053138381906, -0.14886292642741292, 0.05483457309849284, 0.3412374162322117, -0.20605558819240993, -0.24317636065771459, 0.009423740637160975, -0.2956320407145001, -0.21103978278632793, 0.18076557651403602, -0.07905988248617009, 0.11037069688447648, 0.10761191135410357, 0.031593032504638865, 0.08026248142468156, -0.2245677396422252, 0.2578078108619795, 0.0570736245976554, 0.325242528139993, -0.058277382187683274, 0.12243129287122025, -0.04387713893299439, -0.03384617557404218, -0.010055176963322554, -0.13292193273082376, 0.118178131007072, 0.3132130817458447, 0.17758397464812906, 0.28709003797525334, -0.4632649514479218, -0.2972782573110803, 0.1277385101377688, 0.14843067286656825, 0.09166807246273728, 0.002577335573732853, -0.23584605932787614, 0.014974839605942921, -0.1577353678488483, -0.1358473126569556, -0.019837990989563643, -0.008444624728764649, 0.08108649351116684, -0.3368892708827776, 0.20351443920043055, -0.016086777499704448, 0.10847092636309012, -0.11711704220484805, -0.12343639812078672, -0.040921538671547616, 0.19473575885166172, 0.04938002542109677, -0.0034037538096998578, 0.2350886706004126, -0.16825055653505303, -0.16538518073934097, 0.3347480566913469, 0.03136025408403603, -0.18429979000723473, 0.20985442281838645, -0.15744675839043878, -0.10357688904601943, 0.14968760690168925, 0.16813998864273783, 0.06439851202864062, -0.2392326807775707, -0.023848600320181705, 0.004517822353928177, 0.124589241196022, 0.010805055697414058, -0.053813800147946934, 0.16534217113318542, 0.29247883303711814, -0.08684375515656063, 0.08344831770066069, -0.14065607821706821, -0.15054563046605499, -0.2907495904903583, -0.18143894592369045, -0.10521375498286, 0.04095494206477371, -0.1388561174581237, -0.23660186419470441, 0.4333127733509712, 0.11280953248152165, 0.21243916909831265, 0.1079713957582566, 0.24420224723440628, 0.0760408765442359, 0.02748875085402418, -0.08246087865834986, 0.09239469453071554, 0.14117333679287522, 0.06729862249145906, -0.2605629740800295, 0.19110028699247372, -0.005820621788087819] |
711.4688 | Central extensions of Lax operator algebras | Lax operator algebras were introduced by Krichever and Sheinman as a further
development of I.Krichever's theory of Lax operators on algebraic curves. These
are almost-graded Lie algebras of current type. In this article local cocycles
and associated almost-graded central extensions are classified. It is shown
that in the case that the corresponding finite-dimensional Lie algebra is
simple the two-cohomology space is one-dimensional. An important role is played
by the action of the Lie algebra of meromorphic vector fields on the Lax
operator algebra via suitable covariant derivatives.
| math.QA math.AG | lax operator algebras were introduced by krichever and sheinman as a further development of ikrichevers theory of lax operators on algebraic curves these are almostgraded lie algebras of current type in this article local cocycles and associated almostgraded central extensions are classified it is shown that in the case that the corresponding finitedimensional lie algebra is simple the twocohomology space is onedimensional an important role is played by the action of the lie algebra of meromorphic vector fields on the lax operator algebra via suitable covariant derivatives | [['lax', 'operator', 'algebras', 'were', 'introduced', 'by', 'krichever', 'and', 'sheinman', 'as', 'a', 'further', 'development', 'of', 'ikrichevers', 'theory', 'of', 'lax', 'operators', 'on', 'algebraic', 'curves', 'these', 'are', 'almostgraded', 'lie', 'algebras', 'of', 'current', 'type', 'in', 'this', 'article', 'local', 'cocycles', 'and', 'associated', 'almostgraded', 'central', 'extensions', 'are', 'classified', 'it', 'is', 'shown', 'that', 'in', 'the', 'case', 'that', 'the', 'corresponding', 'finitedimensional', 'lie', 'algebra', 'is', 'simple', 'the', 'twocohomology', 'space', 'is', 'onedimensional', 'an', 'important', 'role', 'is', 'played', 'by', 'the', 'action', 'of', 'the', 'lie', 'algebra', 'of', 'meromorphic', 'vector', 'fields', 'on', 'the', 'lax', 'operator', 'algebra', 'via', 'suitable', 'covariant', 'derivatives']] | [-0.17028207085780142, 0.062354378249010016, -0.04857802000170683, 0.10152177676859805, -0.16647139669067282, -0.11396689769428442, -0.09754631449331475, 0.36151761818019784, -0.3294512566507739, -0.1548885725438595, 0.15535403999280842, -0.22843853716245469, -0.20790493777569602, 0.19357469849945869, -0.11982257733505, -0.02127912673441803, 0.053693142231992064, 0.13251746646402512, -0.12488846817766042, -0.26131969790029175, 0.47130651627941167, 0.028902115963180274, 0.21750469569335965, -0.009388415383941986, 0.12657813600757542, 0.030940419753246448, -0.05964345877223155, -0.04635390399386832, -0.06877366805206026, 0.13088011504150926, 0.3146934453069287, 0.053642623356598265, 0.2197722617208081, -0.3808437109212665, -0.12146877203794086, 0.14442383301827838, 0.18203739596202093, -0.008409225107992397, -0.040491869974443144, -0.3258921329452492, 0.06670166157624301, -0.20968774043242722, -0.14486175470930687, -0.09485185902483542, 0.10723635621286709, 0.014590594062910361, -0.20493980149793276, 0.05854753439917284, 0.09890223057420157, 0.1437257265781655, -0.13387696400065632, -0.07812043588800247, -0.14098761146888136, 0.028188153832931728, -0.06940718373174176, 0.04624555898446809, 0.13230789613307398, -0.04981250418624019, -0.1800601403174155, 0.3344779070247622, 0.006845890369047137, -0.2447352968457648, 0.1208180139936945, -0.12798866326098932, -0.17238127953537247, 0.06344499661422828, 0.05584035494967419, 0.13625833135755622, -0.13768495702568223, 0.23891491533722728, -0.11041017762001823, -0.027773423446684747, 0.06612492324236562, 0.0064439004650065565, 0.15240995091769624, 0.0893800698878134, 0.03917516547748271, 0.08519223933519028, 0.10640571606550914, -0.10602612990666838, -0.40090395109180144, -0.18090124454020579, -0.07621901989640559, 0.0925473490565577, -0.08286609513212598, -0.13239145123173812, 0.4401290729367996, 0.12004100380136687, 0.15830882099484478, 0.05631495756918893, 0.14989519699147957, 0.20806032653541906, 0.15702106798040297, 0.01317220084807452, 0.16744339884642293, 0.32586112209486173, 0.04217357380343053, -0.1388299820725532, -0.07438251199200749, 0.2783818711033639] |
711.4689 | The polyhedral product functor: a method of computation for moment-angle
complexes, arrangements and related spaces | This article gives a natural decomposition of the suspension of generalized
moment-angle complexes or {\it partial product spaces} which arise as {\it
polyhedral product functors} described below.
In the special case of the complements of certain subspace arrangements, the
geometrical decomposition implies the homological decomposition in
Goresky-MacPherson \cite{goresky.macpherson}, Hochster\cite{hochster}, Baskakov
\cite{baskakov}, Panov \cite{panov}, and Buchstaber-Panov
\cite{buchstaber.panov}. Since the splitting is geometric, an analogous
homological decomposition for a generalized moment-angle complex applies for
any homology theory. This decomposition gives an additive decomposition for the
Stanley-Reisner ring of a finite simplicial complex and generalizations of
certain homotopy theoretic results of Porter \cite{porter} and Ganea
\cite{ganea}. The spirit of the work here follows that of Denham-Suciu in
\cite{denham.suciu}.
| math.AT math.AC math.AG | this article gives a natural decomposition of the suspension of generalized momentangle complexes or it partial product spaces which arise as it polyhedral product functors described below in the special case of the complements of certain subspace arrangements the geometrical decomposition implies the homological decomposition in goreskymacpherson citegoreskymacpherson hochstercitehochster baskakov citebaskakov panov citepanov and buchstaberpanov citebuchstaberpanov since the splitting is geometric an analogous homological decomposition for a generalized momentangle complex applies for any homology theory this decomposition gives an additive decomposition for the stanleyreisner ring of a finite simplicial complex and generalizations of certain homotopy theoretic results of porter citeporter and ganea citeganea the spirit of the work here follows that of denhamsuciu in citedenhamsuciu | [['this', 'article', 'gives', 'a', 'natural', 'decomposition', 'of', 'the', 'suspension', 'of', 'generalized', 'momentangle', 'complexes', 'or', 'it', 'partial', 'product', 'spaces', 'which', 'arise', 'as', 'it', 'polyhedral', 'product', 'functors', 'described', 'below', 'in', 'the', 'special', 'case', 'of', 'the', 'complements', 'of', 'certain', 'subspace', 'arrangements', 'the', 'geometrical', 'decomposition', 'implies', 'the', 'homological', 'decomposition', 'in', 'goreskymacpherson', 'citegoreskymacpherson', 'hochstercitehochster', 'baskakov', 'citebaskakov', 'panov', 'citepanov', 'and', 'buchstaberpanov', 'citebuchstaberpanov', 'since', 'the', 'splitting', 'is', 'geometric', 'an', 'analogous', 'homological', 'decomposition', 'for', 'a', 'generalized', 'momentangle', 'complex', 'applies', 'for', 'any', 'homology', 'theory', 'this', 'decomposition', 'gives', 'an', 'additive', 'decomposition', 'for', 'the', 'stanleyreisner', 'ring', 'of', 'a', 'finite', 'simplicial', 'complex', 'and', 'generalizations', 'of', 'certain', 'homotopy', 'theoretic', 'results', 'of', 'porter', 'citeporter', 'and', 'ganea', 'citeganea', 'the', 'spirit', 'of', 'the', 'work', 'here', 'follows', 'that', 'of', 'denhamsuciu', 'in', 'citedenhamsuciu']] | [-0.1549327878834996, 0.04565360934615249, -0.12860777940082732, 0.08480922513496447, -0.09986440007100408, -0.08941017901788484, -0.054391221087294155, 0.2600143000588946, -0.3768404556464685, -0.16949126634852224, 0.09751255897352612, -0.16078874210712835, -0.21315430660231285, 0.1524219147153726, -0.2108924043110027, -0.049745833835090104, 0.03289921583941663, 0.047219475467671766, -0.06750287225838962, -0.22682281066158363, 0.40922609501834606, -0.008835364996350178, 0.24999827532392715, 0.09445065055767356, 0.11622447063619236, 0.061722737592029966, -0.03666089020036864, 0.023487109734834928, -0.19439956255265092, 0.17909834598068078, 0.29781473621304305, 0.09839116068521761, 0.167924362838813, -0.35063103289466424, -0.13062321200702154, 0.15715329394728508, 0.13561190307175494, 0.021114269462589808, 0.015823590861334693, -0.24295941127226953, 0.10248628858793175, -0.1861849666116232, -0.14725366873526066, -0.09562509815111968, 0.015268542188799606, 0.005278694236932217, -0.24367533368937108, -0.011700897679646622, 0.14977144941968737, 0.11654376266040962, -0.08689584188110563, -0.14144880000396437, -0.026174665191474388, 0.054751087087733706, -0.04985185208914907, 0.012892597588877421, 0.10489809431820968, -0.06542619848008847, -0.1527549092359138, 0.4152043013359016, -0.020363719472749474, -0.2481023430437693, 0.14910689910065453, -0.11822857961216766, -0.22951122357527604, 0.15495671451482745, 0.01946343723596689, 0.17469873700405136, 0.0036235994413354486, 0.17998590986174368, -0.16602322822963855, 0.03690247031649188, 0.1619845661686136, 0.02110237364639651, 0.07337655567449851, 0.0938529764600801, 0.13457722120225332, 0.19327927828230457, 0.05026678911427844, -0.1073234897861389, -0.2953804353744073, -0.23410599410779914, -0.15531969911260707, 0.16060818449532577, -0.1588677766123064, -0.238476175597412, 0.3935316652235276, 0.01133398221419105, 0.1676919752312385, 0.09553365024874198, 0.2679961069820906, 0.04658471728688247, 0.013210716815489644, -0.0485002370331577, 0.12745403805044744, 0.29855956537824757, 0.03455466886033427, -0.10841913087697665, -0.02265969196879217, 0.2389610065762305] |
711.469 | Obtaining the Gauge Invariant Kinetic Term for a SU(n)$_U$ x SU(m)$_V$
Lagrangian | We propose a generalized way to formally obtain the gauge invariance of the
kinetic part of a field Lagrangian over which a gauge transformation ruled by
an $SU(n)_{U} \otimes SU(m)_{V}$ coupling symmetry is applied. As an
illustrative example, we employ such a formal construction for reproducing the
standard model Lagrangian. This generalized formulation is supposed to
contribute for initiating the study of gauge transformation applied to
generalized $SU(n)_{U} \otimes SU(m)_{V}$ symmetries as well as for
complementing an introductory study of the standard model of elementary
particles.
| math-ph math.MP | we propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field lagrangian over which a gauge transformation ruled by an sun_u otimes sum_v coupling symmetry is applied as an illustrative example we employ such a formal construction for reproducing the standard model lagrangian this generalized formulation is supposed to contribute for initiating the study of gauge transformation applied to generalized sun_u otimes sum_v symmetries as well as for complementing an introductory study of the standard model of elementary particles | [['we', 'propose', 'a', 'generalized', 'way', 'to', 'formally', 'obtain', 'the', 'gauge', 'invariance', 'of', 'the', 'kinetic', 'part', 'of', 'a', 'field', 'lagrangian', 'over', 'which', 'a', 'gauge', 'transformation', 'ruled', 'by', 'an', 'sun_u', 'otimes', 'sum_v', 'coupling', 'symmetry', 'is', 'applied', 'as', 'an', 'illustrative', 'example', 'we', 'employ', 'such', 'a', 'formal', 'construction', 'for', 'reproducing', 'the', 'standard', 'model', 'lagrangian', 'this', 'generalized', 'formulation', 'is', 'supposed', 'to', 'contribute', 'for', 'initiating', 'the', 'study', 'of', 'gauge', 'transformation', 'applied', 'to', 'generalized', 'sun_u', 'otimes', 'sum_v', 'symmetries', 'as', 'well', 'as', 'for', 'complementing', 'an', 'introductory', 'study', 'of', 'the', 'standard', 'model', 'of', 'elementary', 'particles']] | [-0.09136410717231531, 0.11591921501617651, -0.08454407478815743, 0.10076309622880737, -0.1086554685829296, -0.12226721464789339, -0.039992723370059616, 0.3114037229014294, -0.27895974374509286, -0.27527141276126105, 0.0630981810058334, -0.2002493576257534, -0.16405251753097955, 0.1146205896456238, -0.03614935921394222, 0.0029910909167180457, -0.05036366098127993, 0.05090676882259902, -0.0852615745250313, -0.19739147754097802, 0.306200813962191, 0.04942975814282406, 0.2550043356216823, 0.025012221747255398, 0.15577038477307983, 0.04796508549424332, 0.00648316657281525, -0.029764245508149975, -0.126490239719195, 0.08218918638885953, 0.2164642241772353, 0.09332563264650248, 0.20640891199443667, -0.4002197743171737, -0.20581314407553736, 0.11274729421850116, 0.14905608087290256, 0.11177479645786141, -0.04856530968321576, -0.29323086900902645, 0.03621817857908484, -0.21512781823098304, -0.18800405347913815, -0.14230235506381309, -0.0436362607024854, -0.06376366007385686, -0.3137396162852556, 0.038498074409723075, 0.08093397691430125, 0.10131321528128215, -0.04263695874916656, -0.09384741200344815, -0.014899225743387692, 0.04241310093285782, 0.06632358705419825, 0.09932635760023481, 0.10221446293560023, -0.12750191453267776, -0.10955476955444153, 0.47728556223834556, -0.10688213698033776, -0.25783631378518684, 0.13764367622761278, 0.010263404850515403, -0.1861050445475571, 0.04254696124033736, 0.16081963719001838, 0.13205392586505263, -0.16892138693392986, 0.15907855051392245, -0.08450179703677782, 0.09615849190214205, 0.007230786517972038, -0.013787801477259823, 0.1591620171065664, 0.12634897405015572, 0.05630293812247969, 0.1495989499879735, 0.012658383652922652, -0.12458731693082623, -0.4388587001178946, -0.21340241940405186, -0.14059460838325322, 0.11385935180199643, -0.030407939851838386, -0.14178352436006425, 0.40997912357783034, 0.12650730905477844, 0.1753224138684302, 0.07046297867921003, 0.22135717639078697, 0.15481544652582324, 0.10079073877395353, -0.002753350196317548, 0.2036389133815343, 0.1834409642837099, 0.017187778343213722, -0.17661491657296816, -0.06966359380610465, 0.1623647157601746] |
711.4691 | Study of an Abelinization Transition in SU(2) Gluodynamics at Finite
Temperature | We discuss the problem of an effective descriptions of the phase transition
phenomena in the pure gluodynamics in SU(2) symmetric QCD. We choose the method
of calculation following the conjecture that the infrared sector of the theory
possesses the same confinement characteristic as the full theory. We show, that
analytic descriptions of this phenomena is beyond the Gaussian method of
evaluations of functional integrals. We propose a non-perturbative evaluation
of functional integral, meanwhile for two dimensional Wiener integral for
$\phi^4$ theory.
| hep-ph | we discuss the problem of an effective descriptions of the phase transition phenomena in the pure gluodynamics in su2 symmetric qcd we choose the method of calculation following the conjecture that the infrared sector of the theory possesses the same confinement characteristic as the full theory we show that analytic descriptions of this phenomena is beyond the gaussian method of evaluations of functional integrals we propose a nonperturbative evaluation of functional integral meanwhile for two dimensional wiener integral for phi4 theory | [['we', 'discuss', 'the', 'problem', 'of', 'an', 'effective', 'descriptions', 'of', 'the', 'phase', 'transition', 'phenomena', 'in', 'the', 'pure', 'gluodynamics', 'in', 'su2', 'symmetric', 'qcd', 'we', 'choose', 'the', 'method', 'of', 'calculation', 'following', 'the', 'conjecture', 'that', 'the', 'infrared', 'sector', 'of', 'the', 'theory', 'possesses', 'the', 'same', 'confinement', 'characteristic', 'as', 'the', 'full', 'theory', 'we', 'show', 'that', 'analytic', 'descriptions', 'of', 'this', 'phenomena', 'is', 'beyond', 'the', 'gaussian', 'method', 'of', 'evaluations', 'of', 'functional', 'integrals', 'we', 'propose', 'a', 'nonperturbative', 'evaluation', 'of', 'functional', 'integral', 'meanwhile', 'for', 'two', 'dimensional', 'wiener', 'integral', 'for', 'phi4', 'theory']] | [-0.1251932017930588, 0.10807882455902686, -0.16380054036868208, 0.1018450103274742, -0.03789872409384928, -0.06537943766279905, 0.020663622607201063, 0.3447750519593189, -0.20556743501651067, -0.21767322752440785, 0.04799202964411198, -0.26425216205268637, -0.24192695062101624, 0.13199658800824832, 0.0032625355424336444, 0.037127795031317225, -0.004857529983798295, 0.0662703328869409, -0.12939265719327478, -0.22357928026237606, 0.33933726223981076, -0.038698116317391396, 0.2484874453763535, 0.09489987614668077, 0.10499212393583154, 0.04898257285822183, -0.022363219185973757, -0.003401846518017133, -0.17297788668387243, 0.14103643622473572, 0.24316191355939265, 0.06696217394445414, 0.2349443908099568, -0.4142296986401449, -0.23797922774884897, 0.05557316956455233, 0.12454920649574494, 0.12524634068486867, -0.018326365250956128, -0.2505401268279479, 0.059446539472570115, -0.16730293567165916, -0.19734836528422656, -0.1127322595336555, -0.022932762507188283, -0.05028070085164574, -0.28978141158083337, 0.08633690253640296, 0.012654315076630425, 0.05374721594062852, -0.09274512784624542, -0.09630217088133465, 0.021911947930484642, 0.10251597199520027, 0.06962888636324485, 0.030172125677819604, 0.0951353047893923, -0.1993241081871042, -0.1732464130755146, 0.39098094909647363, -0.09377040756136225, -0.17387130235344816, 0.1426744487871025, -0.1501396746535636, -0.16710223833581916, 0.11792631967878545, 0.10607793967147576, 0.14863401538703913, -0.12424680806788398, 0.18754228409149765, -0.06629398044336725, 0.11866766798890621, 0.0379097094460402, 0.046446033466009444, 0.15188000767986165, 0.14469853171181898, 0.015456626732132318, 0.1531926048344668, -0.03305327482981446, -0.17835093187283219, -0.4126001376152774, -0.1759845420781431, -0.1731596913240436, 0.06018158373779353, -0.13136735787316237, -0.2350705759772272, 0.39394299950404665, 0.17071330414748648, 0.1298094248962531, 0.043972114124047904, 0.27556129084486103, 0.18050519866656145, 0.024989241380589427, 0.002445000597494252, 0.20266479599278098, 0.16173161382292522, 0.07244852904437317, -0.24916413406278065, -0.08005058373336071, 0.16548920315287916] |
711.4692 | Variational derivation of the Camassa-Holm shallow water equation | We describe the physical hypothesis in which an approximate model of water
waves is obtained. For an irrotational unidirectional shallow water flow, we
derive the Camassa-Holm equation by a variational approach in the Lagrangian
formalism.
| math-ph math.MP | we describe the physical hypothesis in which an approximate model of water waves is obtained for an irrotational unidirectional shallow water flow we derive the camassaholm equation by a variational approach in the lagrangian formalism | [['we', 'describe', 'the', 'physical', 'hypothesis', 'in', 'which', 'an', 'approximate', 'model', 'of', 'water', 'waves', 'is', 'obtained', 'for', 'an', 'irrotational', 'unidirectional', 'shallow', 'water', 'flow', 'we', 'derive', 'the', 'camassaholm', 'equation', 'by', 'a', 'variational', 'approach', 'in', 'the', 'lagrangian', 'formalism']] | [-0.1400723239140851, 0.044054435387287025, -0.12418298375393663, 0.09997886935847679, -0.05421098028974874, -0.1030874349576022, -0.04526450064565454, 0.2954354998256479, -0.29987887931056323, -0.25392746361238616, 0.037165728391015104, -0.2396189572555678, -0.19423271971089498, 0.13487098680010864, 0.002511077161346163, 0.09872437130127634, 0.05604677807007517, -0.009773207083344459, -0.04741939226431506, -0.1356479170466108, 0.302266708681626, -0.01688497279371534, 0.2546775283092367, 0.075779326459659, 0.17510339271809375, -0.03244331862245287, 0.011338773822145803, -0.05088418974275036, -0.21430580794279064, 0.0982763694865363, 0.21957129608573658, 0.09485987446137838, 0.1993420897184738, -0.5082363735884428, -0.3378341508763177, 0.010486665554344654, 0.10895733977002757, 0.21926985123261278, 0.0035992589413321443, -0.3006538460563336, -0.0010883167652147158, -0.17927504394735608, -0.268499257961022, -0.0433082820049354, 0.0001308309712580272, 0.03793312728937183, -0.23136455741311823, 0.13672422394156455, 0.1015787173062563, 0.0263765387237072, -0.19546557052859237, -0.053099183166133504, -0.05175220022044544, -0.019416007093553032, 0.031520318096902755, 0.021685539092868567, 0.04170031642009105, -0.1738682790526322, -0.0005930447817913124, 0.41822209251778464, -0.1795471944979259, -0.3279265746474266, 0.13664656347994295, -0.0018173156971377986, -0.11054968738130161, 0.17078901687636971, 0.2109323656984738, 0.17179691194157515, -0.25005570870957206, 0.02393415631460292, -0.16056381622329355, 0.13325604077960765, 0.06633366249900843, -0.1052883922388511, 0.20056581390755518, 0.20429643312735216, 0.08051418728594269, 0.1362825938234372, -0.10184970886579582, -0.13647387827347432, -0.302811372546213, -0.18938089003713685, -0.13999198568053545, 0.02021129485219717, -0.08251485873812012, -0.16139735908114483, 0.3487089052796364, 0.14453755631776793, 0.08743559931005751, 0.0875998973613605, 0.2806069515379412, 0.2108041851116078, -0.03160192420972245, 0.12865650591307454, 0.3056574414617249, 0.16473916636646857, 0.12005228072937046, -0.21761285696577812, 0.0005241782138390201, 0.17341078110039235] |
711.4693 | A Deep Catalog of Variable Stars in a 0.66deg^2 Lupus Field | We have conducted a wide-field photometric survey in a single 52'x52' field
towards the Lupus Galactic Plane in an effort to detect transiting Hot Jupiter
planets. The planet Lupus-TR-3b was identified from this work. The dataset also
led to the detection of 494 field variables, all of which are new discoveries.
This paper presents an overview of the project, along with the total catalog of
variables, which comprises 190 eclipsing binaries (of contact, semi-contact and
detached configurations), 51 miscellaneous pulsators of various types, 237 long
period variables (P>=2d), 11 delta Scuti stars, 4 field RR Lyrae (3 disk and 1
halo) and 1 irregular variable. Our survey provides a complete catalog of W UMa
eclipsing binaries in the field to V=18.8, which display a Gaussian period
distribution of 0.277+/-0.036d. Several binary systems are likely composed of
equal mass M-dwarf components and others display evidence of mass transfer. We
find 17 candidate blue stragglers and one binary that has the shortest period
known, 0.2009d (V=20.9). The frequency of eclipsing binaries (all types) is
found to be 1.7+/-0.4x10^{-3} per star, substantially higher (by a factor of
3-10) than previously determined in the haloes of the globular clusters 47 Tuc
and omega Cen. This indicates that cluster dynamics aids mass segregation and
binary destruction.
| astro-ph | we have conducted a widefield photometric survey in a single 52x52 field towards the lupus galactic plane in an effort to detect transiting hot jupiter planets the planet lupustr3b was identified from this work the dataset also led to the detection of 494 field variables all of which are new discoveries this paper presents an overview of the project along with the total catalog of variables which comprises 190 eclipsing binaries of contact semicontact and detached configurations 51 miscellaneous pulsators of various types 237 long period variables p2d 11 delta scuti stars 4 field rr lyrae 3 disk and 1 halo and 1 irregular variable our survey provides a complete catalog of w uma eclipsing binaries in the field to v188 which display a gaussian period distribution of 02770036d several binary systems are likely composed of equal mass mdwarf components and others display evidence of mass transfer we find 17 candidate blue stragglers and one binary that has the shortest period known 02009d v209 the frequency of eclipsing binaries all types is found to be 1704x103 per star substantially higher by a factor of 310 than previously determined in the haloes of the globular clusters 47 tuc and omega cen this indicates that cluster dynamics aids mass segregation and binary destruction | [['we', 'have', 'conducted', 'a', 'widefield', 'photometric', 'survey', 'in', 'a', 'single', '52x52', 'field', 'towards', 'the', 'lupus', 'galactic', 'plane', 'in', 'an', 'effort', 'to', 'detect', 'transiting', 'hot', 'jupiter', 'planets', 'the', 'planet', 'lupustr3b', 'was', 'identified', 'from', 'this', 'work', 'the', 'dataset', 'also', 'led', 'to', 'the', 'detection', 'of', '494', 'field', 'variables', 'all', 'of', 'which', 'are', 'new', 'discoveries', 'this', 'paper', 'presents', 'an', 'overview', 'of', 'the', 'project', 'along', 'with', 'the', 'total', 'catalog', 'of', 'variables', 'which', 'comprises', '190', 'eclipsing', 'binaries', 'of', 'contact', 'semicontact', 'and', 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711.4694 | A high resolution scintillating fiber tracker with SiPM readout for the
PEBS experiment | Using thin scintillating fibers with Silicon Photomultiplier (SiPM) readout a
mo dular high-resolution charged-particle tracking detector has been designed.
The fiber modules consist of 2 x 5 layers of 128 round multiclad scintillating
fiber s of 0.250mm diameter. The fibers are read out by four SiPM arrays (8mm x
1mm) e ach on either end of the module.
| physics.ins-det | using thin scintillating fibers with silicon photomultiplier sipm readout a mo dular highresolution chargedparticle tracking detector has been designed the fiber modules consist of 2 x 5 layers of 128 round multiclad scintillating fiber s of 0250mm diameter the fibers are read out by four sipm arrays 8mm x 1mm e ach on either end of the module | [['using', 'thin', 'scintillating', 'fibers', 'with', 'silicon', 'photomultiplier', 'sipm', 'readout', 'a', 'mo', 'dular', 'highresolution', 'chargedparticle', 'tracking', 'detector', 'has', 'been', 'designed', 'the', 'fiber', 'modules', 'consist', 'of', '2', 'x', '5', 'layers', 'of', '128', 'round', 'multiclad', 'scintillating', 'fiber', 's', 'of', '0250mm', 'diameter', 'the', 'fibers', 'are', 'read', 'out', 'by', 'four', 'sipm', 'arrays', '8mm', 'x', '1mm', 'e', 'ach', 'on', 'either', 'end', 'of', 'the', 'module']] | [-0.13619000391918235, 0.13823245079921825, 0.011327349214947649, -0.18237844917790166, 0.04923387482163629, -0.29247677985612036, -0.0755466139276645, 0.5364697559603623, -0.16599065906900382, -0.28263025850589785, 0.1281864819216675, -0.4030629101076296, 0.0033614814955009414, 0.19164459553264482, -0.06048513757663646, 0.11657336387829023, 0.10134228829494012, -0.054125448998612616, -0.038779271500451226, -0.26873043422321125, 0.1370274122527917, 0.09051160532648542, 0.29683111009321045, -0.09103981774699475, 0.2431779995344446, -0.012163206577367549, -0.06959084562757718, -0.06030720443231985, -0.13210849842289463, 0.05749262305367405, 0.30002302827363436, -0.02143051712482702, 0.13417740196122654, -0.4580408813032721, -0.11007159995746665, 0.07140559700617034, 0.07836113856007744, -0.14302230416797101, -0.0018480644066585228, -0.2538547931970762, 0.1933940762371224, -0.18215279421201558, -0.09849229911092802, 0.10648393649275281, -0.01492660226566451, 0.11724018421955407, -0.12314722240989795, -0.17128442930074275, 0.0032052956854126285, 0.0556534127723093, 0.07150471603797216, -0.16219509998336434, -0.047721600342941074, -0.006391095039102116, -0.12443796018072005, 0.02101471896250067, 0.3059685345672603, -0.07652263315061905, -0.02329508592291469, 0.22941702900321356, -0.047250682779122144, -0.14927148363286896, 0.10423420394987001, -0.14939459875625158, -0.007514422751098339, 0.32630235224496573, 0.1379593445370639, 0.09887048771737941, -0.1750385131953018, 0.056514405096615, 0.006066111478243589, 0.2999386547266373, 0.20825586280885286, 0.04727145647796403, 0.21919689996034972, 0.362834673674245, 0.014366667893357641, 0.09250932585980211, -0.2890422999584449, 0.14957278188584106, -0.3114175747281739, -0.23912114770584075, -0.11759197330320603, 0.15553905286027916, -0.07731926318125001, -0.12069230601524136, 0.37670149807153, -0.07250441037051912, 0.1452051052391263, -0.04080642054655722, 0.2334225812394704, -0.12260177134469684, 0.1802685244890329, -0.08262067592503237, 0.25884315715770106, 0.240585962181545, 0.1196709340939768, -0.09205909456691838, -0.06054640022505607, 0.07729776551215244] |
711.4695 | Delay Times for Symmetrized and Antisymmetrized Quantum Tunneling
Configurations | The transit times are obtained for a symmetrized (two identical bosons) and
an antisymmetrized (two identical fermions) quantum colliding configuration.
Considering two identical particles symmetrically impinging on a
one-dimensional barrier, we demonstrate that the phase time and the dwell time
give connected results where, however, the exact position of the scattered
particles is explicitly determined by the phase time (group delay). For the
antisymmetrized wave function configuration, an unusual effect of {\em
accelerated} transmission is clearly identified in a simultaneous tunneling of
two identical fermions.
| quant-ph hep-th | the transit times are obtained for a symmetrized two identical bosons and an antisymmetrized two identical fermions quantum colliding configuration considering two identical particles symmetrically impinging on a onedimensional barrier we demonstrate that the phase time and the dwell time give connected results where however the exact position of the scattered particles is explicitly determined by the phase time group delay for the antisymmetrized wave function configuration an unusual effect of em accelerated transmission is clearly identified in a simultaneous tunneling of two identical fermions | [['the', 'transit', 'times', 'are', 'obtained', 'for', 'a', 'symmetrized', 'two', 'identical', 'bosons', 'and', 'an', 'antisymmetrized', 'two', 'identical', 'fermions', 'quantum', 'colliding', 'configuration', 'considering', 'two', 'identical', 'particles', 'symmetrically', 'impinging', 'on', 'a', 'onedimensional', 'barrier', 'we', 'demonstrate', 'that', 'the', 'phase', 'time', 'and', 'the', 'dwell', 'time', 'give', 'connected', 'results', 'where', 'however', 'the', 'exact', 'position', 'of', 'the', 'scattered', 'particles', 'is', 'explicitly', 'determined', 'by', 'the', 'phase', 'time', 'group', 'delay', 'for', 'the', 'antisymmetrized', 'wave', 'function', 'configuration', 'an', 'unusual', 'effect', 'of', 'em', 'accelerated', 'transmission', 'is', 'clearly', 'identified', 'in', 'a', 'simultaneous', 'tunneling', 'of', 'two', 'identical', 'fermions']] | [-0.22645294476738748, 0.25898095426348255, -0.0753720334457124, 0.047103053372462886, 0.03841970198075561, -0.1782360644737149, 0.013996829851256574, 0.40886665867532, -0.2127024519859868, -0.25745402890367103, -0.011324278836357681, -0.28227979759959615, -0.0869816252085216, 0.14069492473979206, 0.06413129073951174, 0.03344744629062274, 0.06061849855982206, 0.03132516103522742, -0.06351530926356859, -0.2412395269911298, 0.2982137652607087, 0.023364360804450424, 0.25602556250660735, 0.003534004042911179, 0.12244580488871126, 0.07810084235936622, 0.004855203266967745, -0.0012016972718650804, -0.08567051462570603, 0.01571602951598299, 0.15888905409066117, 0.0024910376051112135, 0.16119901731829434, -0.48303129585350263, -0.15788946062436, 0.0933661807766732, 0.19484520287746016, 0.07631078812786761, -0.05736849178861388, -0.3311055256820777, -0.037298916663755385, -0.15212348079418433, -0.1654283656300429, 0.03177490159869194, 0.008878274360562072, 0.036186596229398516, -0.24004954688031885, 0.07209200814147206, -0.006557244807824164, 0.0003227052826653509, -0.07748713933260125, -0.09099776126334773, -0.012539206576697966, 0.08449221177108805, 0.005094325986197766, 4.344986313406159e-05, 0.12277128544690855, -0.05987594873877242, -0.13978169162223553, 0.3676713880863698, -0.04631339232711231, -0.19676975845188066, 0.17275851426426977, -0.1280449139118633, -0.060976954598856326, 0.18645267659688697, 0.10342264864593745, 0.11056281448725391, -0.18158079263042, 0.046195021730518954, -0.05434225308417808, 0.16102546229650377, 0.0990565732395386, 0.03285269823254031, 0.2089531467679669, 0.10599872328560142, 0.030762413696913214, 0.14370299909976036, -0.09409091569592848, -0.17114209202939973, -0.2703776116099428, -0.17921654529842165, -0.2455546965932145, 0.031152777494828435, -0.08864599254995803, -0.15551684219801032, 0.4166241539751782, 0.07662956515217528, 0.20499003575566938, 0.034240490882931386, 0.31513344776981017, 0.16135244853349456, -0.01152333383284071, 0.04996662721695269, 0.2584891797865138, 0.09861894831170931, 0.050655974839430525, -0.27100923882030387, 0.005557773640269742, 0.06937529571792658] |
711.4696 | Elliptic polynomials orthogonal on the unit circle with a dense point
spectrum | We introduce two explicit examples of polynomials orthogonal on the unit
circle. Moments and the reflection coefficients are expressed in terms of
Jacobi elliptic functions. We find explicit expression for these polynomials in
terms of a new type of elliptic hypergeometric function. We show that obtained
polynomials are orthogonal on the unit circle with respect to a dense point
meausure, i.e. the spectrum consists from infinite number points of increase
which are dense on the unit circle. We construct also corresponding explicit
systems of polynomials orthogonal on the interval of the real axis with respect
to a dense point measure. They can be considered as an elliptic generalization
of the Askey-Wilson polynomials of a special type.
| math.CA | we introduce two explicit examples of polynomials orthogonal on the unit circle moments and the reflection coefficients are expressed in terms of jacobi elliptic functions we find explicit expression for these polynomials in terms of a new type of elliptic hypergeometric function we show that obtained polynomials are orthogonal on the unit circle with respect to a dense point meausure ie the spectrum consists from infinite number points of increase which are dense on the unit circle we construct also corresponding explicit systems of polynomials orthogonal on the interval of the real axis with respect to a dense point measure they can be considered as an elliptic generalization of the askeywilson polynomials of a special type | [['we', 'introduce', 'two', 'explicit', 'examples', 'of', 'polynomials', 'orthogonal', 'on', 'the', 'unit', 'circle', 'moments', 'and', 'the', 'reflection', 'coefficients', 'are', 'expressed', 'in', 'terms', 'of', 'jacobi', 'elliptic', 'functions', 'we', 'find', 'explicit', 'expression', 'for', 'these', 'polynomials', 'in', 'terms', 'of', 'a', 'new', 'type', 'of', 'elliptic', 'hypergeometric', 'function', 'we', 'show', 'that', 'obtained', 'polynomials', 'are', 'orthogonal', 'on', 'the', 'unit', 'circle', 'with', 'respect', 'to', 'a', 'dense', 'point', 'meausure', 'ie', 'the', 'spectrum', 'consists', 'from', 'infinite', 'number', 'points', 'of', 'increase', 'which', 'are', 'dense', 'on', 'the', 'unit', 'circle', 'we', 'construct', 'also', 'corresponding', 'explicit', 'systems', 'of', 'polynomials', 'orthogonal', 'on', 'the', 'interval', 'of', 'the', 'real', 'axis', 'with', 'respect', 'to', 'a', 'dense', 'point', 'measure', 'they', 'can', 'be', 'considered', 'as', 'an', 'elliptic', 'generalization', 'of', 'the', 'askeywilson', 'polynomials', 'of', 'a', 'special', 'type']] | [-0.2001771043662144, 0.053319634991298104, -0.03645172442269066, 0.02223994294181466, -0.07965279077787114, -0.0842906194070921, 0.004858721655024135, 0.36895362304766544, -0.28028607770152714, -0.19007064759751538, 0.13205163549105434, -0.2920353572633441, -0.1625527814395078, 0.24051925526203022, -0.08641198839405147, 0.056160504298041695, 0.04238054456351244, 0.1105378859028544, -0.1504529277621971, -0.2541253948169153, 0.3674226504629073, -0.027453101815088934, 0.2011363349692977, 0.008079321654108556, 0.14021195938972675, -0.010308119197092626, -0.041941835393157344, -0.05490103776607177, -0.09632371996318081, 0.15777050809448828, 0.2422420920075282, 0.06768489336271001, 0.19179262953769902, -0.37565081896989244, -0.12560747437503028, 0.16760948376082208, 0.18839374065915446, -0.00508894635182198, -0.01291427154843088, -0.22350522432395298, 0.05036171586860133, -0.145826387360854, -0.2145597105866055, -0.08308515516514688, -0.01469442922136058, 0.1540326643269509, -0.30790523080074267, 0.049685508338481434, 0.05123734846711159, 0.11289355898258256, -0.03411492681454705, -0.14729939879363646, 0.009694122361100238, 0.08156021658898048, -0.0030773151220510834, 0.03410055751142942, 0.057399376935285074, -0.06841326564520031, -0.11064484476557244, 0.38265704670516043, -0.04022039894176566, -0.31852451227605344, 0.12128891263805006, -0.16929940485759923, -0.16087400750459535, 0.11906098953913898, 0.20411103611569043, 0.12894737386833066, -0.06361808593830337, 0.10618928353373042, -0.14302303689410506, 0.09926557592166911, 0.14056745474024313, 0.023352867988464625, 0.18423114631163037, -0.02586281615430894, 0.06535448023806448, 0.20681857973964804, -0.003895990805619437, -0.1344987689598423, -0.34892421413374985, -0.1734292730324618, -0.1777009559586472, 0.06331614926457405, -0.17212339137546698, -0.22558568571086812, 0.42342449666365334, 0.03976975484629688, 0.23861803084045, 0.08801837174687535, 0.21232488066281963, 0.20145038175902774, 0.06235560236761913, 0.03817806543741861, 0.12409092642204916, 0.15465670456583408, 0.018530440968258875, -0.15861654001105902, -0.013756212110266737, 0.18158721759834368] |
711.4697 | Anyons and the quantum Hall effect - a pedagogical review | The dichotomy between fermions and bosons is at the root of many physical
phenomena, from metallic conduction of electricity to super-fluidity, and from
the periodic table to coherent propagation of light. The dichotomy originates
from the symmetry of the quantum mechanical wave function to the interchange of
two identical particles. In systems that are confined to two spatial dimensions
particles that are neither fermions nor bosons, coined "anyons", may exist. The
fractional quantum Hall effect offers an experimental system where this
possibility is realized. In this paper we present the concept of anyons, we
explain why the observation of the fractional quantum Hall effect almost forces
the notion of anyons upon us, and we review several possible ways for a direct
observation of the physics of anyons. Furthermore, we devote a large part of
the paper to non-abelian anyons, motivating their existence from the point of
view of trial wave functions, giving a simple exposition of their relation to
conformal field theories, and reviewing several proposals for their direct
observation.
| cond-mat.mes-hall cond-mat.str-el | the dichotomy between fermions and bosons is at the root of many physical phenomena from metallic conduction of electricity to superfluidity and from the periodic table to coherent propagation of light the dichotomy originates from the symmetry of the quantum mechanical wave function to the interchange of two identical particles in systems that are confined to two spatial dimensions particles that are neither fermions nor bosons coined anyons may exist the fractional quantum hall effect offers an experimental system where this possibility is realized in this paper we present the concept of anyons we explain why the observation of the fractional quantum hall effect almost forces the notion of anyons upon us and we review several possible ways for a direct observation of the physics of anyons furthermore we devote a large part of the paper to nonabelian anyons motivating their existence from the point of view of trial wave functions giving a simple exposition of their relation to conformal field theories and reviewing several proposals for their direct observation | [['the', 'dichotomy', 'between', 'fermions', 'and', 'bosons', 'is', 'at', 'the', 'root', 'of', 'many', 'physical', 'phenomena', 'from', 'metallic', 'conduction', 'of', 'electricity', 'to', 'superfluidity', 'and', 'from', 'the', 'periodic', 'table', 'to', 'coherent', 'propagation', 'of', 'light', 'the', 'dichotomy', 'originates', 'from', 'the', 'symmetry', 'of', 'the', 'quantum', 'mechanical', 'wave', 'function', 'to', 'the', 'interchange', 'of', 'two', 'identical', 'particles', 'in', 'systems', 'that', 'are', 'confined', 'to', 'two', 'spatial', 'dimensions', 'particles', 'that', 'are', 'neither', 'fermions', 'nor', 'bosons', 'coined', 'anyons', 'may', 'exist', 'the', 'fractional', 'quantum', 'hall', 'effect', 'offers', 'an', 'experimental', 'system', 'where', 'this', 'possibility', 'is', 'realized', 'in', 'this', 'paper', 'we', 'present', 'the', 'concept', 'of', 'anyons', 'we', 'explain', 'why', 'the', 'observation', 'of', 'the', 'fractional', 'quantum', 'hall', 'effect', 'almost', 'forces', 'the', 'notion', 'of', 'anyons', 'upon', 'us', 'and', 'we', 'review', 'several', 'possible', 'ways', 'for', 'a', 'direct', 'observation', 'of', 'the', 'physics', 'of', 'anyons', 'furthermore', 'we', 'devote', 'a', 'large', 'part', 'of', 'the', 'paper', 'to', 'nonabelian', 'anyons', 'motivating', 'their', 'existence', 'from', 'the', 'point', 'of', 'view', 'of', 'trial', 'wave', 'functions', 'giving', 'a', 'simple', 'exposition', 'of', 'their', 'relation', 'to', 'conformal', 'field', 'theories', 'and', 'reviewing', 'several', 'proposals', 'for', 'their', 'direct', 'observation']] | [-0.1669878629858003, 0.23815360468382576, -0.10058095394085874, 0.059657389670610426, -0.09474739996195936, -0.13368625953957877, 0.06905039504636079, 0.33316694834433935, -0.26322358092019227, -0.27876393036734526, 0.043408485130845186, -0.28352857293451533, -0.1616776081486879, 0.181365987976246, -0.019110542680958614, 0.05256346694475403, -0.014827784315189895, -0.0051455773536444585, -0.07901791203253464, -0.2354303999530042, 0.334812694774968, 0.006852555867311929, 0.2625043687657179, 0.07433952776550809, 0.09098183686078033, 0.010159327926607255, -0.01665102650740129, -0.024250854455920703, -0.12231104263525648, 0.10245384707266246, 0.20933643881067196, 0.027701235050335525, 0.21856773048639297, -0.45780468140180935, -0.18698685640359627, 0.10034057733958916, 0.14057197124056983, 0.15691942886778099, -0.05878748435335343, -0.30795513975488786, 0.021426115475375863, -0.1919319988690618, -0.1712190396796145, -0.05314421704217025, 0.014872957720174728, -0.03158925106091534, -0.18879846792996807, 0.07944757551475264, 0.11740785760202391, 0.06314780109507197, -0.04412801257499001, -0.07204223497263977, 0.015237945460659616, 0.10967208304620513, 0.07535957142929821, -0.030085225584095016, 0.10859966813381214, -0.18782749957583078, -0.2025625810273649, 0.4057999432525214, -0.004887127705082736, -0.17670567168251555, 0.2438722078825402, -0.1522440700838, -0.11178554105846321, 0.09680532861007925, 0.134893451353042, 0.04852368242162115, -0.1209181742167429, 0.07016046115279417, -0.08313924001293559, 0.11836461997950477, 0.024187639065305976, 0.09985667692826075, 0.28405422930304397, 0.11886017063413473, 0.049814345769460915, 0.14789997338152983, -0.075754548255902, -0.12829001626746236, -0.34425972338546723, -0.2116684966991135, -0.21866337167756522, 0.07178464177593602, -0.012163951140417554, -0.17608960030655213, 0.41708934359142885, 0.18091070918145466, 0.15944765268222374, 0.011824976515216643, 0.23257644000079702, 0.1033035436316448, 0.04000824806691312, 0.007946191492545255, 0.23376965677666972, 0.15875050129423685, 0.09989223393050077, -0.2304118567279896, -0.03823751963620239, 0.0829049437032903] |
711.4698 | H\"older-differentiability of Gibbs distribution functions | In this paper we give non-trivial applications of the thermodynamic formalism
to the theory of distribution functions of Gibbs measures (devil's staircases)
supported on limit sets of finitely generated conformal iterated function
systems in $\R$. For a large class of these Gibbs states we determine the
Hausdorff dimension of the set of points at which the distribution function of
these measures is not $\alpha$-H\"older-differentiable. The obtained results
give significant extensions of recent work by Darst, Dekking, Falconer, Li,
Morris, and Xiao. In particular, our results clearly show that the results of
these authors have their natural home within thermodynamic formalism.
| math.DS math.PR | in this paper we give nontrivial applications of the thermodynamic formalism to the theory of distribution functions of gibbs measures devils staircases supported on limit sets of finitely generated conformal iterated function systems in r for a large class of these gibbs states we determine the hausdorff dimension of the set of points at which the distribution function of these measures is not alphaholderdifferentiable the obtained results give significant extensions of recent work by darst dekking falconer li morris and xiao in particular our results clearly show that the results of these authors have their natural home within thermodynamic formalism | [['in', 'this', 'paper', 'we', 'give', 'nontrivial', 'applications', 'of', 'the', 'thermodynamic', 'formalism', 'to', 'the', 'theory', 'of', 'distribution', 'functions', 'of', 'gibbs', 'measures', 'devils', 'staircases', 'supported', 'on', 'limit', 'sets', 'of', 'finitely', 'generated', 'conformal', 'iterated', 'function', 'systems', 'in', 'r', 'for', 'a', 'large', 'class', 'of', 'these', 'gibbs', 'states', 'we', 'determine', 'the', 'hausdorff', 'dimension', 'of', 'the', 'set', 'of', 'points', 'at', 'which', 'the', 'distribution', 'function', 'of', 'these', 'measures', 'is', 'not', 'alphaholderdifferentiable', 'the', 'obtained', 'results', 'give', 'significant', 'extensions', 'of', 'recent', 'work', 'by', 'darst', 'dekking', 'falconer', 'li', 'morris', 'and', 'xiao', 'in', 'particular', 'our', 'results', 'clearly', 'show', 'that', 'the', 'results', 'of', 'these', 'authors', 'have', 'their', 'natural', 'home', 'within', 'thermodynamic', 'formalism']] | [-0.10146963298415804, 0.10091006155933577, -0.11908633406369054, 0.06717911153575595, 0.01849800837226212, -0.05525436944907949, 0.07064891647908608, 0.3217809261107931, -0.25070764401414414, -0.2475855784177096, 0.04238857313330114, -0.2912517213737782, -0.17027760712353854, 0.21369218691347205, -0.10231648576303329, 0.08490998484194279, 0.0453168783831049, 0.012693520236228193, -0.05207233833462684, -0.29288821273046184, 0.3787595432641327, 0.008971213747994328, 0.25261520816735467, 0.11155236463005445, 0.07022928936663558, -0.006077471783156602, -0.04642085387723102, 0.0449710618039327, -0.2167717255869487, 0.13954441342205853, 0.24116501472510246, 0.13970181184146097, 0.24692505398499115, -0.3553196163372878, -0.21865040356559412, 0.12972502497842117, 0.10234157456208628, 0.058876335579303225, -0.022802079133261755, -0.2967918909211852, 0.1177521747232852, -0.18505559147962805, -0.1741281691035826, -0.11519469456671148, 0.05465170218043828, 0.0685566953212327, -0.2229224129328124, 0.05589357961197289, 0.11847022037991152, 0.09893918026010601, -0.0801371307520918, -0.12945847907008565, -0.02167952667959795, 0.10195624734256037, 0.03512061992422583, 0.02010862905608148, 0.10457980926908857, -0.06414292902182027, -0.14204766097649626, 0.31532549134892773, -0.051000253411428054, -0.21459410714023575, 0.2059041141646401, -0.194188942101651, -0.19547802278277826, 0.05826392358321012, 0.10657561677793155, 0.15071069170264717, -0.12441913963162474, 0.149783379711301, -0.10616461330625628, 0.060265449127562494, 0.09051680774190368, 0.04863391858905706, 0.160056622337778, 0.06941026593891106, 0.06489391821408075, 0.1559881638635748, -0.00937699861776996, -0.11425381513996696, -0.3339556633703867, -0.15143799307533096, -0.2366116269852738, 0.06826710844028157, -0.11713607292084798, -0.2209432992552008, 0.40312358763601097, 0.16381095655007663, 0.1883814585708766, 0.1025386582097818, 0.21280620074165718, 0.13734942599813268, 0.027567164447367648, 0.05341857178992002, 0.1636763420811265, 0.1305366449737541, 0.056493456882890314, -0.14264633939411414, 0.031167868621010637, 0.1250973910530459] |
711.4699 | Theory of fluorescence correlation spectroscopy at variable observation
area for two-dimensional diffusion on a meshgrid | It has recently been proposed, with the help of numerical investigations,
that fluorescence correlation spectroscopy at variable observation area can
reveal the existence of a meshgrid of semi-permeable barriers hindering the
two-dimensional diffusion of tagged particles, such as plasmic membrane
constituents. We present a complete theory confirming and accounting for these
findings. It enables a reliable, quantitative exploitation of experimental data
from which the sub-wavelength mesh size can be extracted. Time scales at which
fluorescence correlation spectroscopy must be performed experimentally are
discussed in detail.
| cond-mat.stat-mech q-bio.SC | it has recently been proposed with the help of numerical investigations that fluorescence correlation spectroscopy at variable observation area can reveal the existence of a meshgrid of semipermeable barriers hindering the twodimensional diffusion of tagged particles such as plasmic membrane constituents we present a complete theory confirming and accounting for these findings it enables a reliable quantitative exploitation of experimental data from which the subwavelength mesh size can be extracted time scales at which fluorescence correlation spectroscopy must be performed experimentally are discussed in detail | [['it', 'has', 'recently', 'been', 'proposed', 'with', 'the', 'help', 'of', 'numerical', 'investigations', 'that', 'fluorescence', 'correlation', 'spectroscopy', 'at', 'variable', 'observation', 'area', 'can', 'reveal', 'the', 'existence', 'of', 'a', 'meshgrid', 'of', 'semipermeable', 'barriers', 'hindering', 'the', 'twodimensional', 'diffusion', 'of', 'tagged', 'particles', 'such', 'as', 'plasmic', 'membrane', 'constituents', 'we', 'present', 'a', 'complete', 'theory', 'confirming', 'and', 'accounting', 'for', 'these', 'findings', 'it', 'enables', 'a', 'reliable', 'quantitative', 'exploitation', 'of', 'experimental', 'data', 'from', 'which', 'the', 'subwavelength', 'mesh', 'size', 'can', 'be', 'extracted', 'time', 'scales', 'at', 'which', 'fluorescence', 'correlation', 'spectroscopy', 'must', 'be', 'performed', 'experimentally', 'are', 'discussed', 'in', 'detail']] | [-0.0722000382873895, 0.13047600332980178, -0.1192401060889963, 0.03324097831500694, -0.035104948827730756, -0.1339349988847971, 0.015902403521717394, 0.42248098530052675, -0.24334559366772218, -0.323886079314564, 0.09032668548475374, -0.3152318208400781, -0.1283164304026979, 0.20311492267397366, 0.033512416129399626, 0.0974347541798904, 0.07290139057606991, -0.0455776900191614, 0.007991931592446886, -0.17232048861470026, 0.2425144204178304, 0.10626081178807431, 0.2766604457560572, 0.1407453576823519, 0.09481368118126522, 0.0006440531918390965, -0.058146838536707775, 0.08259271681752234, -0.12835028413671049, 0.09718851551696432, 0.2722885038127147, 0.05353595085381087, 0.23767030782376727, -0.4564313197070511, -0.2828264568289298, 0.05269114066669274, 0.20849798600552494, 0.12686380082907686, -0.10385324295964979, -0.28907283498916686, 0.06028313695320061, -0.08807655434412438, -0.15388567828839378, -0.12385102584292847, 0.0029835584019089027, 0.0337080949469791, -0.2597240696749872, 0.09521190002228, -0.0305667182657912, 0.07651517502520055, -0.06346162829348552, -0.08098580279121441, -0.02101549128080175, 0.16486337436695717, 0.020084934575217112, -0.0007102341568540959, 0.15021499534625382, -0.07422243417905909, -0.11948358144893843, 0.3340433640738151, -0.02239142744136708, -0.16422045118885026, 0.2039268461078228, -0.1732286620064683, -0.11329569481313229, 0.17336254757607267, 0.14725283897548383, 0.11588755220041744, -0.16152914654507877, 0.028131115068044027, -0.049685604293786344, 0.20168201982354125, 0.0668790866011044, 0.0750886449823156, 0.22632879770493933, 0.24709307672899394, -0.00961012567859143, 0.12274322152924946, -0.1448750911679651, -0.06692546991897481, -0.2615832787539278, -0.17092852282595622, -0.19754932767578534, 0.05344764554008309, -0.07631300605394895, -0.11870261796450775, 0.36158148305756704, 0.13134150340088777, 0.17437611081376894, 0.007406458161616077, 0.2727143454664786, 0.08204796037586805, 0.11778285371838138, -0.007144868900511591, 0.26705620669582414, 0.11742139024482597, 0.1081468062752503, -0.24194504637160294, 0.0815762924529346, 0.0008655141323937901] |
711.47 | Galactic Dynamos and Galactic Winds | Spiral galaxies host dynamically important magnetic fields which can affect
gas flows in the disks and halos. Total magnetic fields in spiral galaxies are
strongest (up to 30 \muG) in the spiral arms where they are mostly turbulent or
tangled. Polarized synchrotron emission shows that the resolved regular fields
are generally strongest in the interarm regions (up to 15 \muG). Faraday
rotation measures of radio polarization vectors in the disks of several spiral
galaxies reveal large-scale patterns which are signatures of coherent fields
generated by a mean-field dynamo. -- Magnetic fields are also observed in radio
halos around edge-on galaxies at heights of a few kpc above the disk.
Cosmic-ray driven galactic winds transport gas and magnetic fields from the
disk into the halo. The magnetic energy density is larger than the thermal
energy density, but smaller than the kinetic energy density of the outflow. The
orientation of field lines allows to estimate the wind speed and direction.
There is no observation yet of a halo with a large-scale coherent dynamo
pattern. A global wind outflow may prevent the operation of a dynamo in the
halo. -- Halo regions with high degrees of radio polarization at very large
distances from the disk are excellent tracers of interaction between galaxies
or ram pressure of the intergalactic medium. The observed extent of radio halos
is limited by energy losses of the cosmic-ray electrons. -- Future
low-frequency radio telescopes like LOFAR and the SKA will allow to trace halo
outflows and their interaction with the intergalactic medium to much larger
distances.
| astro-ph | spiral galaxies host dynamically important magnetic fields which can affect gas flows in the disks and halos total magnetic fields in spiral galaxies are strongest up to 30 mug in the spiral arms where they are mostly turbulent or tangled polarized synchrotron emission shows that the resolved regular fields are generally strongest in the interarm regions up to 15 mug faraday rotation measures of radio polarization vectors in the disks of several spiral galaxies reveal largescale patterns which are signatures of coherent fields generated by a meanfield dynamo magnetic fields are also observed in radio halos around edgeon galaxies at heights of a few kpc above the disk cosmicray driven galactic winds transport gas and magnetic fields from the disk into the halo the magnetic energy density is larger than the thermal energy density but smaller than the kinetic energy density of the outflow the orientation of field lines allows to estimate the wind speed and direction there is no observation yet of a halo with a largescale coherent dynamo pattern a global wind outflow may prevent the operation of a dynamo in the halo halo regions with high degrees of radio polarization at very large distances from the disk are excellent tracers of interaction between galaxies or ram pressure of the intergalactic medium the observed extent of radio halos is limited by energy losses of the cosmicray electrons future lowfrequency radio telescopes like lofar and the ska will allow to trace halo outflows and their interaction with the intergalactic medium to much larger distances | [['spiral', 'galaxies', 'host', 'dynamically', 'important', 'magnetic', 'fields', 'which', 'can', 'affect', 'gas', 'flows', 'in', 'the', 'disks', 'and', 'halos', 'total', 'magnetic', 'fields', 'in', 'spiral', 'galaxies', 'are', 'strongest', 'up', 'to', '30', 'mug', 'in', 'the', 'spiral', 'arms', 'where', 'they', 'are', 'mostly', 'turbulent', 'or', 'tangled', 'polarized', 'synchrotron', 'emission', 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711.4701 | Variational derivation of the Camassa-Holm shallow water equation with
non-zero vorticity | We describe the physical hypotheses underlying the derivation of an
approximate model of water waves. For unidirectional surface shallow water
waves moving over an irrotational flow as well as over a non-zero vorticity
flow, we derive the Camassa-Holm equation by an interplay of variational
methods and small-parameter expansions.
| math-ph math.MP | we describe the physical hypotheses underlying the derivation of an approximate model of water waves for unidirectional surface shallow water waves moving over an irrotational flow as well as over a nonzero vorticity flow we derive the camassaholm equation by an interplay of variational methods and smallparameter expansions | [['we', 'describe', 'the', 'physical', 'hypotheses', 'underlying', 'the', 'derivation', 'of', 'an', 'approximate', 'model', 'of', 'water', 'waves', 'for', 'unidirectional', 'surface', 'shallow', 'water', 'waves', 'moving', 'over', 'an', 'irrotational', 'flow', 'as', 'well', 'as', 'over', 'a', 'nonzero', 'vorticity', 'flow', 'we', 'derive', 'the', 'camassaholm', 'equation', 'by', 'an', 'interplay', 'of', 'variational', 'methods', 'and', 'smallparameter', 'expansions']] | [-0.15491195102610314, 0.08130748901597447, -0.09881437643586348, 0.07264271572542687, -0.0822936138138175, -0.07090546542895027, -0.0490399970155219, 0.29646635364042595, -0.33609826738150633, -0.23199904465582222, 0.09330297855679721, -0.2599837855086662, -0.1613327351709207, 0.1832161165851479, 0.015135094329404334, 0.07097691227681935, 0.028147623990662396, -0.004393981207006921, -0.06886577456801508, -0.14652891610361016, 0.30455395720976713, 0.010466854553669691, 0.2507982000679476, 0.06586434707666437, 0.19636844579751292, -0.023125191296761233, -0.0003717747555735211, -0.027322459941691097, -0.211123835198426, 0.0704597049431565, 0.21066398222077018, 0.058287564354638256, 0.21924982800070816, -0.5071161100640893, -0.33570852656460676, 0.022135184321086854, 0.15810676448745653, 0.1811766833610212, -0.006197197224537376, -0.2961404149536975, -0.0020551134754593172, -0.1819675697867448, -0.22127604023747457, -0.06303151712442438, 0.03843436584187051, 0.10305769285575177, -0.21913251878383258, 0.1317850275178595, 0.1031389722120366, 0.096772760055804, -0.17389527191699017, -0.08357110819391285, -0.07674130107382855, 0.06098186545811283, 0.08642348196735838, 0.007859700175079828, 0.06977939502879356, -0.20376727480712967, -0.04276419433638997, 0.40263055241666734, -0.16443930987346297, -0.28994070707509917, 0.18881525830753768, -0.018861450875798862, -0.016709133284166455, 0.16860298846343844, 0.2330571781300629, 0.1378535580491492, -0.14710872480645776, 0.014597303892514901, -0.12387445101436849, 0.13229843405618644, 0.1191103913539943, -0.05277583897501851, 0.2405959721072577, 0.17135086170552918, 0.12260264947932835, 0.09477506173910417, -0.109692430201297, -0.10511598883507152, -0.3375469708892827, -0.18174215295584872, -0.14506951587100048, 0.037650976970326155, -0.10993930208466433, -0.21540933383706337, 0.37206778846060234, 0.0908068416271514, 0.12134990313400824, 0.05936192975301916, 0.2831243842180508, 0.16312279609943894, -0.031977021077182144, 0.1287774720500844, 0.2232322306566251, 0.21521943191085788, 0.10708156080121019, -0.21108203653420787, 0.029967715197320405, 0.13399142927179733] |
711.4702 | Quantum and classical multiple scattering effects in spin dynamics of
cavity polaritons | The transport properties of exciton-polaritons are studied with allowance for
their polarization. Both classical multiple scattering effects and quantum
effects such as weak localization are taken into account in the framework of a
generalized kinetic equation. The longitudinal-transverse (TE-TM) splitting of
polariton states which plays role analogous to the spin-orbit splitting in
electron systems is taken into account. The developed formalism is applied to
calculate the particle and spin diffusion coefficients of exciton-polaritons,
spin relaxation rates and the polarization conversion efficiency under the
conditions of the optical spin Hall effect. In contrast to the electron
systems, strong spin splitting does not lead to the antilocalization behavior
of the particle diffusion coefficient, while quantum corrections to spin
diffusion and polarization conversion can be both negative and positive
depending on the spin splitting value.
| cond-mat.mes-hall cond-mat.dis-nn cond-mat.other | the transport properties of excitonpolaritons are studied with allowance for their polarization both classical multiple scattering effects and quantum effects such as weak localization are taken into account in the framework of a generalized kinetic equation the longitudinaltransverse tetm splitting of polariton states which plays role analogous to the spinorbit splitting in electron systems is taken into account the developed formalism is applied to calculate the particle and spin diffusion coefficients of excitonpolaritons spin relaxation rates and the polarization conversion efficiency under the conditions of the optical spin hall effect in contrast to the electron systems strong spin splitting does not lead to the antilocalization behavior of the particle diffusion coefficient while quantum corrections to spin diffusion and polarization conversion can be both negative and positive depending on the spin splitting value | [['the', 'transport', 'properties', 'of', 'excitonpolaritons', 'are', 'studied', 'with', 'allowance', 'for', 'their', 'polarization', 'both', 'classical', 'multiple', 'scattering', 'effects', 'and', 'quantum', 'effects', 'such', 'as', 'weak', 'localization', 'are', 'taken', 'into', 'account', 'in', 'the', 'framework', 'of', 'a', 'generalized', 'kinetic', 'equation', 'the', 'longitudinaltransverse', 'tetm', 'splitting', 'of', 'polariton', 'states', 'which', 'plays', 'role', 'analogous', 'to', 'the', 'spinorbit', 'splitting', 'in', 'electron', 'systems', 'is', 'taken', 'into', 'account', 'the', 'developed', 'formalism', 'is', 'applied', 'to', 'calculate', 'the', 'particle', 'and', 'spin', 'diffusion', 'coefficients', 'of', 'excitonpolaritons', 'spin', 'relaxation', 'rates', 'and', 'the', 'polarization', 'conversion', 'efficiency', 'under', 'the', 'conditions', 'of', 'the', 'optical', 'spin', 'hall', 'effect', 'in', 'contrast', 'to', 'the', 'electron', 'systems', 'strong', 'spin', 'splitting', 'does', 'not', 'lead', 'to', 'the', 'antilocalization', 'behavior', 'of', 'the', 'particle', 'diffusion', 'coefficient', 'while', 'quantum', 'corrections', 'to', 'spin', 'diffusion', 'and', 'polarization', 'conversion', 'can', 'be', 'both', 'negative', 'and', 'positive', 'depending', 'on', 'the', 'spin', 'splitting', 'value']] | [-0.15518844646585145, 0.210360812855828, -0.06836192924740979, 0.08550132450887538, -0.04780435023271958, -0.13446951695633205, -0.03835303116956669, 0.3521175822525313, -0.28548131524726295, -0.26630259019492025, 0.009587939093101093, -0.2537780818811646, -0.08110387402991888, 0.2149539476165294, 0.07792383420746773, 0.04696360784653349, -0.005286033801508673, -0.058755585006579306, -0.05645314634029725, -0.1819212634388047, 0.29326384996459115, 0.0331553436972723, 0.3328462678932049, 0.1555577079023792, 0.11836157324300571, 0.07539661849185711, 0.0558586380458578, 0.03357828673765515, -0.10256004762226384, 0.04494096925543889, 0.20583386654316477, -0.07682864923933239, 0.1960189612864545, -0.4417878733806764, -0.22104294167013105, 0.05283770733160165, 0.138916618067235, 0.1881197927048726, -0.059028581699363494, -0.2758327762430506, -0.007638614275492728, -0.1581300048556207, -0.09430970523195963, -0.086102232806187, 0.0032510286140622516, -0.025542603927809097, -0.28835250666209805, 0.11501917004528822, 0.1251010158730699, -0.00047371774968324286, -0.07892337254827109, -0.14351047520441088, -0.06263412626735358, 0.11949310629543933, 0.05216323214964094, -0.0326741998318484, 0.16632653454629084, -0.1399359469915825, -0.14996177418101014, 0.4005840625966702, -0.1166358665337391, -0.2283593446870024, 0.14167276355720154, -0.2059117378384778, -0.036262318597767844, 0.15782940645278193, 0.20102864717641336, 0.09473313324181645, -0.12838746225955247, 0.07126707383775449, 0.0343357313382016, 0.12215510425933947, 0.033500844118834444, 0.14612246349199928, 0.2448293489023027, 0.10078090805362797, 0.04156265095595948, 0.10614898908004927, -0.1405350111449617, -0.13882198086128372, -0.21387324894462698, -0.1672892079397405, -0.17094386328068195, 0.13911757821397536, -0.03816325428741755, -0.12808080327213797, 0.3917545977464849, 0.12204603006786342, 0.15665344196145958, -0.034527860598631596, 0.2694056266177954, 0.22363287418512767, 0.07162227689210947, 0.0043308114752907195, 0.27775576488453557, 0.2394641358546461, 0.1135188946870833, -0.40365357690660114, 0.07484353320306224, 0.02875402484399577] |
711.4703 | Optical Simulation of Yang-Baxter Equation | In this paper, several proposals of optically simulating Yang-Baxter
equations have been presented. Motivated by the recent development of anyon
theory, we apply Temperley-Lieb algebra as a bridge to recast four-dimentional
Yang-Baxter equation into its two-dimensional counterpart. In accordance with
both representations, we find the corresponding linear-optical simulations,
based on the highly efficient optical elements. Both the freedom degrees of
photon polarization and location are utilized as the qubit basis, in which the
unitary Yang-Baxter matrices are decomposed into combination of actions of
basic optical elements.
| quant-ph | in this paper several proposals of optically simulating yangbaxter equations have been presented motivated by the recent development of anyon theory we apply temperleylieb algebra as a bridge to recast fourdimentional yangbaxter equation into its twodimensional counterpart in accordance with both representations we find the corresponding linearoptical simulations based on the highly efficient optical elements both the freedom degrees of photon polarization and location are utilized as the qubit basis in which the unitary yangbaxter matrices are decomposed into combination of actions of basic optical elements | [['in', 'this', 'paper', 'several', 'proposals', 'of', 'optically', 'simulating', 'yangbaxter', 'equations', 'have', 'been', 'presented', 'motivated', 'by', 'the', 'recent', 'development', 'of', 'anyon', 'theory', 'we', 'apply', 'temperleylieb', 'algebra', 'as', 'a', 'bridge', 'to', 'recast', 'fourdimentional', 'yangbaxter', 'equation', 'into', 'its', 'twodimensional', 'counterpart', 'in', 'accordance', 'with', 'both', 'representations', 'we', 'find', 'the', 'corresponding', 'linearoptical', 'simulations', 'based', 'on', 'the', 'highly', 'efficient', 'optical', 'elements', 'both', 'the', 'freedom', 'degrees', 'of', 'photon', 'polarization', 'and', 'location', 'are', 'utilized', 'as', 'the', 'qubit', 'basis', 'in', 'which', 'the', 'unitary', 'yangbaxter', 'matrices', 'are', 'decomposed', 'into', 'combination', 'of', 'actions', 'of', 'basic', 'optical', 'elements']] | [-0.098663957461523, 0.11123601595241138, -0.051448625096065154, -0.026411720602225294, -0.0699798819828121, -0.1484284608022255, -0.03290887982036699, 0.3796634515418726, -0.28374250172363485, -0.24170506797073518, 0.10784200001644957, -0.25881768608575356, -0.1578117262791185, 0.19596254066290225, -0.03900690093800864, 0.08357258564450175, 0.06672981350189623, -0.0026593560243354125, -0.12139791958034038, -0.20456719602293827, 0.30065072104334833, 0.030424701373147615, 0.27412280516205906, -0.048743039791417475, 0.14363460401620934, 0.015939120696309733, -0.05084872176761136, -0.024870273432530024, -0.09385207060395795, 0.152300006414161, 0.2763477912501377, 0.06175119017579538, 0.1774150648729547, -0.4890746396582793, -0.21268553448950542, 0.07566314032027388, 0.18549213303143489, 0.13546475387308474, -0.05369825794443707, -0.32024178051882807, -0.010349185521002202, -0.2185534099007354, -0.13027196820715772, -0.10717765255009427, 0.019030673013013952, 0.0030430800993652904, -0.19980668475960983, 0.03441908737261067, 0.0320758773945272, 0.03944658809067572, -0.05517858800560455, -0.1260895858244861, -0.02964820842094281, 0.09119451954988216, -0.06393043650964768, -0.015482683786574532, 0.11866895306088468, -0.14587517271694891, -0.16959626982536385, 0.3867086672498023, -0.03295853302321013, -0.2236795441192739, 0.14290315571569784, -0.10245499557212871, -0.1393577524351285, 0.07865718172534424, 0.14006936566575484, 0.09414173719637534, -0.16733104249133784, 0.1082251572755494, -0.08745316982488421, 0.13857474047005833, 0.03922516024288009, 0.10764614464167287, 0.23689700022394605, 0.12282474907115101, -0.027035837497233466, 0.17448658302207204, 0.011732304000350482, -0.13230545082513023, -0.30522561866023085, -0.16180711843292503, -0.15950753445298793, 0.08058249048669548, -0.06051554323211723, -0.1414788261494216, 0.4278647794223884, 0.17965344275923117, 0.1699426346732413, 0.00915164140135269, 0.24872811323798755, 0.13772917285506778, 0.08301035067723954, 0.055317127699141995, 0.2144740691956352, 0.24801654728293857, 0.02832764008849421, -0.22167207022361896, -0.029651963577934485, 0.1540840542930014] |
711.4704 | Phase transition to bundles of flexible supramolecular polymers | We report Monte Carlo simulations of the self-assembly of supramolecular
polymers based on a model of patchy particles. We find a first-order phase
transition, characterized by hysteresis and nucleation, toward a solid bundle
of polymers, of length much greater than the average gas phase length. We argue
that the bundling transition is the supramolecular equivalent of the
sublimation transition, that results from a weak chain-chain interaction. We
provide a qualitative equation of state that gives physical insight beyond the
specific values of the parameters used in our simulations.
| cond-mat.soft cond-mat.stat-mech | we report monte carlo simulations of the selfassembly of supramolecular polymers based on a model of patchy particles we find a firstorder phase transition characterized by hysteresis and nucleation toward a solid bundle of polymers of length much greater than the average gas phase length we argue that the bundling transition is the supramolecular equivalent of the sublimation transition that results from a weak chainchain interaction we provide a qualitative equation of state that gives physical insight beyond the specific values of the parameters used in our simulations | [['we', 'report', 'monte', 'carlo', 'simulations', 'of', 'the', 'selfassembly', 'of', 'supramolecular', 'polymers', 'based', 'on', 'a', 'model', 'of', 'patchy', 'particles', 'we', 'find', 'a', 'firstorder', 'phase', 'transition', 'characterized', 'by', 'hysteresis', 'and', 'nucleation', 'toward', 'a', 'solid', 'bundle', 'of', 'polymers', 'of', 'length', 'much', 'greater', 'than', 'the', 'average', 'gas', 'phase', 'length', 'we', 'argue', 'that', 'the', 'bundling', 'transition', 'is', 'the', 'supramolecular', 'equivalent', 'of', 'the', 'sublimation', 'transition', 'that', 'results', 'from', 'a', 'weak', 'chainchain', 'interaction', 'we', 'provide', 'a', 'qualitative', 'equation', 'of', 'state', 'that', 'gives', 'physical', 'insight', 'beyond', 'the', 'specific', 'values', 'of', 'the', 'parameters', 'used', 'in', 'our', 'simulations']] | [-0.12567435037834168, 0.18682705248515544, -0.11523047324524006, 0.032926426064064304, -0.021133326660757037, -0.10740191438129511, 0.08792131375031947, 0.38641907897015865, -0.21696368912869896, -0.26678545282497496, 0.024456609737667764, -0.2581953891044991, -0.15407667359580624, 0.15284335045726039, 0.06678636764726517, 0.010167115218626515, 0.03722967375704849, -0.038127822316958125, -0.10499486840390918, -0.15215175036494408, 0.2672314367267642, 0.0812807979633693, 0.2412861027088101, 0.08408077665477652, 0.11123318142596293, -0.0419110613822175, 0.06015879612162032, 0.049702681484632194, -0.27660164080250316, 0.07427624494514683, 0.1740817977598371, 0.012432978599628603, 0.21310401285352948, -0.4626268004278906, -0.2530689986888319, 0.0826415267418435, 0.15081594538324597, 0.14129907081157647, -0.07431723904102744, -0.2505949472542852, 0.018309783449777486, -0.14029067673254758, -0.10928781183185327, -0.030671272596175022, 0.00036047527100890875, 0.05511257470987568, -0.24258290050784126, 0.0889023901876168, 0.05841032682589933, 0.08203053949612447, -0.0670675898542289, -0.11187586762984707, -0.044861927001461896, 0.05983142277744429, 0.004099929561727384, 0.014185612349220637, 0.2214734115087512, -0.135878250177484, -0.11525595200840723, 0.4103444075550545, -0.04728079929935285, -0.12005399017785252, 0.19983628507841125, -0.15116582037775184, -0.12153729960978539, 0.25379023533208633, 0.1163786069214852, 0.1270854939780706, -0.09559029531241818, 0.001728641069679394, -0.03858269547345117, 0.22834802559703926, -0.006122635402293367, -0.015552879443434491, 0.2341354594311931, 0.26351327330551366, -4.646257201040333e-05, 0.22791621993052436, -0.06270713157771918, -0.19328369748439977, -0.25787738035432994, -0.20863938265988094, -0.17545918447219513, 0.07319090516962619, -0.15955640062863743, -0.20054360254223205, 0.3414643411101265, 0.1997161314649764, 0.19960724818520248, 0.09795979344794019, 0.2408394523293034, 0.05260016080865171, 0.04876572678966278, -0.005437369209671901, 0.2569986405750652, 0.1130354561345567, 0.08978948202936655, -0.24038888468798672, 0.11620317355581475, 0.07357730876273391] |
711.4705 | Cavity-induced temperature control of a two-level system | We consider a two-level atom interacting with a single mode of the
electromagnetic field in a cavity within the Jaynes-Cummings model. Initially,
the atom is thermal while the cavity is in a coherent state. The atom interacts
with the cavity field for a fixed time. After removing the atom from the cavity
and applying a laser pulse the atom will be in a thermal state again. Depending
on the interaction time with the cavity field the final temperature can be
varied over a large range. We discuss how this method can be used to cool the
internal degrees of freedom of atoms and create heat baths suitable for
studying thermodynamics at the nanoscale.
| quant-ph | we consider a twolevel atom interacting with a single mode of the electromagnetic field in a cavity within the jaynescummings model initially the atom is thermal while the cavity is in a coherent state the atom interacts with the cavity field for a fixed time after removing the atom from the cavity and applying a laser pulse the atom will be in a thermal state again depending on the interaction time with the cavity field the final temperature can be varied over a large range we discuss how this method can be used to cool the internal degrees of freedom of atoms and create heat baths suitable for studying thermodynamics at the nanoscale | [['we', 'consider', 'a', 'twolevel', 'atom', 'interacting', 'with', 'a', 'single', 'mode', 'of', 'the', 'electromagnetic', 'field', 'in', 'a', 'cavity', 'within', 'the', 'jaynescummings', 'model', 'initially', 'the', 'atom', 'is', 'thermal', 'while', 'the', 'cavity', 'is', 'in', 'a', 'coherent', 'state', 'the', 'atom', 'interacts', 'with', 'the', 'cavity', 'field', 'for', 'a', 'fixed', 'time', 'after', 'removing', 'the', 'atom', 'from', 'the', 'cavity', 'and', 'applying', 'a', 'laser', 'pulse', 'the', 'atom', 'will', 'be', 'in', 'a', 'thermal', 'state', 'again', 'depending', 'on', 'the', 'interaction', 'time', 'with', 'the', 'cavity', 'field', 'the', 'final', 'temperature', 'can', 'be', 'varied', 'over', 'a', 'large', 'range', 'we', 'discuss', 'how', 'this', 'method', 'can', 'be', 'used', 'to', 'cool', 'the', 'internal', 'degrees', 'of', 'freedom', 'of', 'atoms', 'and', 'create', 'heat', 'baths', 'suitable', 'for', 'studying', 'thermodynamics', 'at', 'the', 'nanoscale']] | [-0.12446670148488695, 0.25395431236026034, -0.0634514597508298, -0.03914503174096313, -0.002485547472302497, -0.16892961585745875, 0.0697039967532624, 0.3946581303216187, -0.2571214007427998, -0.2831015777815364, 0.034846651377115165, -0.2747321743209047, 0.015018809508466352, 0.1907778478380029, 0.016675364178712522, -0.00907070221033244, 0.0675196398247396, 0.07053667342751822, -0.0073205603665746416, -0.1679677087916638, 0.31159330969593957, 0.08161220360141395, 0.22112124753637916, 0.03466708720785327, 0.121389557704313, -0.007797146186737892, 0.10272120708698589, 0.020940531852894125, -0.061194535447861506, 0.06329616452196399, 0.21441420224604435, 0.03030339885808, 0.2856431870713039, -0.48864941495940484, -0.21732131023355553, 0.07049034704899558, 0.13198401401488036, 0.2196180495882687, -0.04383127711635017, -0.2902638136730653, -0.0570403786800571, -0.1579370338931284, -0.16114339172691766, -0.031732053611328644, -0.017384436592434955, 0.028511034287162028, -0.2704717972412689, 0.0200948681294984, 0.015411472718635228, 0.04351008978499248, -0.05138179393633541, -0.004876944036593875, 0.005547212381163134, 0.060824509166115155, -0.04227555773748431, 0.054018626440794464, 0.23140023372638807, -0.14880730412628468, -0.04917691402401017, 0.392549885756262, -0.1529471815060989, -0.16290814197103007, 0.16134357422310036, -0.14650657873567755, -0.031655915188644315, 0.12485940703520534, 0.13749625713696323, 0.09624397310127496, -0.1469365196236599, 0.07567787698193956, -0.01908503980499453, 0.23858544619473737, 0.08830797055167501, 0.06672107059698124, 0.26418558465300407, 0.19059556348463602, 0.01758939151825235, 0.24293417881337712, -0.1091657095254951, -0.10347080801044946, -0.2815195751372329, -0.17912460931482008, -0.200316702717023, 0.05898566648108571, -0.09254266588345471, -0.11571603879925951, 0.4434041994045884, 0.13776621503232098, 0.14819937857049229, -0.06896645865872898, 0.296493798494339, 0.16861196471361722, 0.0570461844399044, 0.050278519195776465, 0.29322735928988036, 0.1671188037133718, 0.083876782798505, -0.3093307647849969, -0.03405931169595734, -0.02712016495406232] |
711.4706 | Ranks of elliptic curves over function fields | We present experimental evidence to support the widely held belief that one
half of all elliptic curves have infinitely many rational points. The method
used to gather this evidence is a refinement of an algorithm due to the author
which is based upon rigid and crystalline cohomology.
| math.NT math.AG | we present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points the method used to gather this evidence is a refinement of an algorithm due to the author which is based upon rigid and crystalline cohomology | [['we', 'present', 'experimental', 'evidence', 'to', 'support', 'the', 'widely', 'held', 'belief', 'that', 'one', 'half', 'of', 'all', 'elliptic', 'curves', 'have', 'infinitely', 'many', 'rational', 'points', 'the', 'method', 'used', 'to', 'gather', 'this', 'evidence', 'is', 'a', 'refinement', 'of', 'an', 'algorithm', 'due', 'to', 'the', 'author', 'which', 'is', 'based', 'upon', 'rigid', 'and', 'crystalline', 'cohomology']] | [-0.12678847500578838, 0.038843591502146856, -0.18404887620597443, 0.035561417083335205, -0.11968622284327099, -0.1279528210672768, 0.03530859136260412, 0.36948228239061986, -0.24386351698256553, -0.27944221799360947, 0.11067168225355922, -0.266968933389859, -0.1835029635261348, 0.22620795413534692, -0.08666266582192893, 0.09737384328965415, 0.03141061385023467, 0.051353257307980925, -0.000608659681289437, -0.3483002224560589, 0.332776989470771, -0.02478655283042091, 0.2914140789095867, 0.07924632086081708, 0.10844499033261487, 0.023043185244611603, -0.0077867042273283005, -0.026576934362504075, -0.12953295955571292, 0.19003148618689242, 0.31655036876017745, 0.061107976362109184, 0.25893626544386783, -0.4266513138216861, -0.1598289179754384, 0.14472729467509432, 0.10628345073696147, 0.12171846247486215, -0.06533039240364699, -0.21258019507327613, 0.11379249110580125, -0.1560739319811159, -0.17877996732738424, -0.07768499143322573, 0.010748573687878694, 0.036700329465910474, -0.2171265460907462, -0.02437297478714522, 0.09831109044558191, 0.13892069458961487, -0.09008280473186615, -0.09778472818830546, -0.005065286849090394, 0.09407995209256385, 0.062318554544385445, 0.09344629443032627, 0.0634024793955874, -0.04008444396164665, -0.1561777091763438, 0.3744578293296806, -0.016320997769845292, -0.1640466563007299, 0.19803544372181467, -0.0768724084494913, -0.17381683142578347, 0.17935086089245816, 0.11589916422963142, 0.14159635728859205, -0.06671763266971771, 0.0589416058364998, -0.0963354131622993, 0.19585901022730198, 0.06077640471940345, -0.06288213622657225, 0.1976010207324586, 0.09404332361164246, 0.05844398911304257, 0.08854257587115577, -0.05246075306166994, -0.12314814124058218, -0.2879185132395001, -0.1901999434178814, -0.16451551101388448, 0.011582099956440483, -0.03119079027531738, -0.21981821841302704, 0.3578232373011873, 0.1695749645240288, 0.21316303760605923, 0.020101192399879245, 0.26944385175692276, 0.0730107172065355, 0.08080784338922735, 0.093466679486347, 0.21778026223182678, 0.1274930004506035, 0.06306682340800762, -0.1158857687396255, 0.0970401130517588, 0.1450503457020572] |
711.4707 | The Fundamental k-Form and Global Relations | In [Proc. Roy. Soc. London Ser. A 453 (1997), no. 1962, 1411-1443] A.S. Fokas
introduced a novel method for solving a large class of boundary value problems
associated with evolution equations. This approach relies on the construction
of a so-called global relation: an integral expression that couples initial and
boundary data. The global relation can be found by constructing a differential
form dependent on some spectral parameter, that is closed on the condition that
a given partial differential equation is satisfied. Such a differential form is
said to be fundamental [Quart. J. Mech. Appl. Math. 55 (2002), 457-479]. We
give an algorithmic approach in constructing a fundamental k-form associated
with a given boundary value problem, and address issues of uniqueness. Also, we
extend a result of Fokas and Zyskin to give an integral representation to the
solution of a class of boundary value problems, in an arbitrary number of
dimensions. We present an extended example using these results in which we
construct a global relation for the linearised Navier-Stokes equations.
| math.AP math-ph math.MP | in proc roy soc london ser a 453 1997 no 1962 14111443 as fokas introduced a novel method for solving a large class of boundary value problems associated with evolution equations this approach relies on the construction of a socalled global relation an integral expression that couples initial and boundary data the global relation can be found by constructing a differential form dependent on some spectral parameter that is closed on the condition that a given partial differential equation is satisfied such a differential form is said to be fundamental quart j mech appl math 55 2002 457479 we give an algorithmic approach in constructing a fundamental kform associated with a given boundary value problem and address issues of uniqueness also we extend a result of fokas and zyskin to give an integral representation to the solution of a class of boundary value problems in an arbitrary number of dimensions we present an extended example using these results in which we construct a global relation for the linearised navierstokes equations | [['in', 'proc', 'roy', 'soc', 'london', 'ser', 'a', '453', '1997', 'no', '1962', '14111443', 'as', 'fokas', 'introduced', 'a', 'novel', 'method', 'for', 'solving', 'a', 'large', 'class', 'of', 'boundary', 'value', 'problems', 'associated', 'with', 'evolution', 'equations', 'this', 'approach', 'relies', 'on', 'the', 'construction', 'of', 'a', 'socalled', 'global', 'relation', 'an', 'integral', 'expression', 'that', 'couples', 'initial', 'and', 'boundary', 'data', 'the', 'global', 'relation', 'can', 'be', 'found', 'by', 'constructing', 'a', 'differential', 'form', 'dependent', 'on', 'some', 'spectral', 'parameter', 'that', 'is', 'closed', 'on', 'the', 'condition', 'that', 'a', 'given', 'partial', 'differential', 'equation', 'is', 'satisfied', 'such', 'a', 'differential', 'form', 'is', 'said', 'to', 'be', 'fundamental', 'quart', 'j', 'mech', 'appl', 'math', '55', '2002', '457479', 'we', 'give', 'an', 'algorithmic', 'approach', 'in', 'constructing', 'a', 'fundamental', 'kform', 'associated', 'with', 'a', 'given', 'boundary', 'value', 'problem', 'and', 'address', 'issues', 'of', 'uniqueness', 'also', 'we', 'extend', 'a', 'result', 'of', 'fokas', 'and', 'zyskin', 'to', 'give', 'an', 'integral', 'representation', 'to', 'the', 'solution', 'of', 'a', 'class', 'of', 'boundary', 'value', 'problems', 'in', 'an', 'arbitrary', 'number', 'of', 'dimensions', 'we', 'present', 'an', 'extended', 'example', 'using', 'these', 'results', 'in', 'which', 'we', 'construct', 'a', 'global', 'relation', 'for', 'the', 'linearised', 'navierstokes', 'equations']] | [-0.13913424211849798, 0.019348975734992238, -0.09905830143900689, 0.031647280342375, -0.13270621196350116, -0.10323440654392907, 0.010489499434817605, 0.26887286884409045, -0.2715047572468948, -0.3110338409046481, 0.13853317231126688, -0.2373599484144615, -0.18216191526100842, 0.20121257470552614, -0.11322506576913136, 0.048921048261983666, 0.055221708588341176, 0.005514628092150488, -0.07876968538963018, -0.22432222667925372, 0.33233270451738806, -0.008347570802737585, 0.23738246389143977, 0.05751069589423205, 0.1521827816387393, 0.011803741748082245, -0.030067677317015703, 0.05219135290669824, -0.19266519150176487, 0.12766182085870023, 0.257077359325325, 0.0906866009062725, 0.2941502464522502, -0.3776428224351592, -0.16875847695032162, 0.08559081347904608, 0.08025000387702338, 0.09572391628502439, -0.02589611207416649, -0.2889185657802813, 0.07414654509650967, -0.15459363187473646, -0.17930161306344553, -0.06108533160504467, 0.08510134501862311, -0.018284140924315254, -0.33462403534526775, 0.09605209722199679, 0.0884359327617553, 0.07128122648151737, -0.11955188856108817, -0.09559415341605862, 0.0034044383422744844, 0.037953893341400105, -0.022794913184065037, 0.052930912465794004, 0.008930520129440253, -0.11549288440847066, -0.1224877846142846, 0.3420094034486746, -0.07558821849552859, -0.2568848399099654, 0.1516657223657309, -0.030893129090259888, -0.14757481701309585, 0.10435776490840816, 0.1626284505480421, 0.1488304524417565, -0.18368490469156804, 0.15113043626610045, -0.11519700415365532, 0.1495479177070146, 0.09480641634499062, -0.056220549148295496, 0.1244078347512415, 0.1204219777778371, 0.09097407173231511, 0.11393630313045697, -0.015982382953470896, -0.10167945599919576, -0.34533973320660566, -0.17394538079810185, -0.15065313182481213, 0.1124286462642074, -0.06380352526852613, -0.1805093963769917, 0.34823296324511666, 0.13640157228703806, 0.19251084702457497, 0.04891642213528585, 0.15930743844382197, 0.2273831739261869, -0.018790021424410407, 0.14162322057098775, 0.18708508952278896, 0.1815206238631895, 0.12725971268579186, -0.20619644495396466, -0.004569984619745505, 0.1655753060037683] |
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