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708.1349 | On the formation and the stability of suspended transition metal
monatomic chains | We present a Tight-Binding Molecular Dynamics investigation of the stability,
the geometrical and the electronic structure of suspended monatomic transition
metal chains. We show that linear and stable monatomic chains are formed at
temperature equal or smaller than 500 K for Au, 200 K for Ag and 4 K for Cu. We
also evidence that such stability is associated with the persisting sd orbital
hybridization along the chains. The study highlight fundamental limitations of
conductance measurement experiments to detect these chains in the breaking
process of nanowires.
| cond-mat.mtrl-sci | we present a tightbinding molecular dynamics investigation of the stability the geometrical and the electronic structure of suspended monatomic transition metal chains we show that linear and stable monatomic chains are formed at temperature equal or smaller than 500 k for au 200 k for ag and 4 k for cu we also evidence that such stability is associated with the persisting sd orbital hybridization along the chains the study highlight fundamental limitations of conductance measurement experiments to detect these chains in the breaking process of nanowires | [['we', 'present', 'a', 'tightbinding', 'molecular', 'dynamics', 'investigation', 'of', 'the', 'stability', 'the', 'geometrical', 'and', 'the', 'electronic', 'structure', 'of', 'suspended', 'monatomic', 'transition', 'metal', 'chains', 'we', 'show', 'that', 'linear', 'and', 'stable', 'monatomic', 'chains', 'are', 'formed', 'at', 'temperature', 'equal', 'or', 'smaller', 'than', '500', 'k', 'for', 'au', '200', 'k', 'for', 'ag', 'and', '4', 'k', 'for', 'cu', 'we', 'also', 'evidence', 'that', 'such', 'stability', 'is', 'associated', 'with', 'the', 'persisting', 'sd', 'orbital', 'hybridization', 'along', 'the', 'chains', 'the', 'study', 'highlight', 'fundamental', 'limitations', 'of', 'conductance', 'measurement', 'experiments', 'to', 'detect', 'these', 'chains', 'in', 'the', 'breaking', 'process', 'of', 'nanowires']] | [-0.189756079413995, 0.1780964862662314, -0.004710080214487067, 0.0135402189262304, 0.02293745154279402, -0.16923849088214765, 0.07217576059555614, 0.42099797087668, -0.27300121274444905, -0.27332115177621785, 0.05672100083447522, -0.3433716641417865, -0.08397511854478769, 0.13185834186686868, 0.12746140754235716, 0.003490900974078425, 0.06527594582682165, -0.02353392160850866, -0.12315222062705748, -0.16857141219668262, 0.2397900232014878, 0.05030806485734794, 0.24770039559647056, 0.09040547708777347, 0.01310078613460064, -0.012080247037583727, 0.08823175927163797, 0.01796580643136183, -0.22202315850095722, 0.1018768009556064, 0.22616521359003824, -0.04885387605313083, 0.19750405141773322, -0.4648945464956007, -0.1943012028705093, 0.01127487284816459, 0.14103140345314283, 0.1156826926095561, -0.0405263336503814, -0.23376766083515838, 0.13898046513826684, -0.12560142517817774, -0.14022576783237786, -0.05745266717002224, 0.04562684856141093, 0.015108971200861979, -0.1994584150934838, 0.08278488449387028, 0.12379480050020349, 0.15116606495910506, -0.05737538241524378, -0.16092169354937372, -0.07614769819781356, 0.02959307040965677, 0.014398795731523577, -0.03588058358197497, 0.1911033548725148, -0.020824392299414022, -0.08482789961439183, 0.37620764662479533, -0.0953089471904082, -0.07305750645825575, 0.23477027453910346, -0.1580569064244628, -0.11358998770739925, 0.1749831790749476, 0.1320299530915659, 0.11268372248708346, -0.09414309658840748, 0.048974932613648776, -0.0003504148502459471, 0.19282211949941755, 0.08398021751982641, 0.048684584196314384, 0.23759431661716823, 0.2123869121096086, 0.047852396734872425, 0.14326387884338845, -0.14494582027499298, -0.10702829127167833, -0.22649662263006315, -0.21770840585124732, -0.1649583371559522, 0.07226604017182842, -0.09061794559389015, -0.146488467145754, 0.37326428576790055, 0.13317995516304998, 0.2105190173305314, 0.020018931446147376, 0.2007105302429576, 0.061890808249898684, 0.038170113849143185, 0.025964151452370417, 0.20525652336106562, 0.20196315904158627, 0.038816968155703666, -0.2836492228343141, 0.05588085469040463, -0.02114739787133261] |
708.135 | The marginalization paradox and the formal Bayes' law | It has recently been shown that the marginalization paradox (MP) can be
resolved by interpreting improper inferences as probability limits. The key to
the resolution is that probability limits need not satisfy the formal Bayes'
law, which is used in the MP to deduce an inconsistency. In this paper, I
explore the differences between probability limits and the more familiar
pointwise limits, which do imply the formal Bayes' law, and show how these
differences underlie some key differences in the interpretation of the MP.
| math.ST math.PR stat.TH | it has recently been shown that the marginalization paradox mp can be resolved by interpreting improper inferences as probability limits the key to the resolution is that probability limits need not satisfy the formal bayes law which is used in the mp to deduce an inconsistency in this paper i explore the differences between probability limits and the more familiar pointwise limits which do imply the formal bayes law and show how these differences underlie some key differences in the interpretation of the mp | [['it', 'has', 'recently', 'been', 'shown', 'that', 'the', 'marginalization', 'paradox', 'mp', 'can', 'be', 'resolved', 'by', 'interpreting', 'improper', 'inferences', 'as', 'probability', 'limits', 'the', 'key', 'to', 'the', 'resolution', 'is', 'that', 'probability', 'limits', 'need', 'not', 'satisfy', 'the', 'formal', 'bayes', 'law', 'which', 'is', 'used', 'in', 'the', 'mp', 'to', 'deduce', 'an', 'inconsistency', 'in', 'this', 'paper', 'i', 'explore', 'the', 'differences', 'between', 'probability', 'limits', 'and', 'the', 'more', 'familiar', 'pointwise', 'limits', 'which', 'do', 'imply', 'the', 'formal', 'bayes', 'law', 'and', 'show', 'how', 'these', 'differences', 'underlie', 'some', 'key', 'differences', 'in', 'the', 'interpretation', 'of', 'the', 'mp']] | [-0.045669280898956846, 0.05024787846421185, -0.15147592530896267, 0.16794140813899935, -0.11036414418014742, -0.11553201581617552, 0.08707876023531537, 0.3568432567020257, -0.2811926268041134, -0.32359390112660114, 0.09093093974210899, -0.23156833143106528, -0.16429133752119793, 0.17459330933897513, -0.1499057054697048, 0.06527478824413958, 0.02757302751498563, 0.03772830889959421, -0.06911451474852151, -0.20069979044741817, 0.315746814877327, 0.07752803884934456, 0.31461742571333334, 0.05596631831334283, 0.08302908643132209, -0.041790974453934246, -0.0327257673433494, 0.025472805391819703, -0.1329977988673255, 0.1386287940577382, 0.2577421528847134, 0.19248965271427074, 0.267543518694029, -0.39988108440524056, -0.22718329500362633, 0.12716029068854237, 0.17782108149757342, 0.0361065386345477, 0.006912652275786968, -0.24416767533070274, 0.09679581231570669, -0.18869598077504807, -0.10141911016710635, -0.09586452227085829, 0.00933021085248107, 0.039464363406988834, -0.2335502643115996, 0.08127595629498717, 0.14891318074383197, 0.013985780866018363, 0.0002611907243373848, -0.12599954845028974, 0.008762253999954001, 0.1588207137648992, 0.10600060034526645, -0.007821465698292568, 0.06908488075160199, -0.08692587304228384, -0.12062450418653455, 0.3581511497142769, -0.010242330065617958, -0.22595944917494698, 0.16138975873694844, -0.16093489003833383, -0.18854443950667268, 0.06668638793884643, 0.06094395684167033, 0.05035222538312415, -0.16005096703191243, 0.10051568011182271, -0.02547612843946332, 0.17238876873272516, 0.0946838919466938, 0.0427783168533573, 0.2376127646615108, 0.07555254262738995, 0.04326989944924468, 0.023667937287384467, -0.09578098566271365, -0.11854222290483969, -0.3184878963622309, -0.17658482152702554, -0.1483771957462609, 0.0711949071765481, -0.09447774248734017, -0.11376112211776974, 0.2739714816035259, 0.21784531608379135, 0.2134814901731997, 0.0808255028816694, 0.2515207848156847, 0.19969414796408577, 0.037313345581337455, 0.048701639037712345, 0.28887322648889885, 0.14994439659252143, 0.05773014388978481, -0.16912201345188632, 0.1377226843421037, 0.02415091456801054] |
708.1351 | Physical Properties of Young Stellar Populations in 24 Starburst
Galaxies Observed with FUSE | We presents the main physical properties of very young stellar populations
seen with FUSE in 24 individual starbursts. These characteristics have been
obtained using the evolutionary spectral synthesis technique in the
far-ultraviolet range with the LavalSB code. For each starburst, quantitative
values for age, metallicity, initial mass function slope, stellar mass, and
internal extinction have been obtained and discussed in details. Limits of the
code have been tested. One main conclusion is that most starbursts (and
probably all of them) cannot be represented by any continuous star formation
burst in the far-ultraviolet. Also, quantitative values of various optical
diagnostics related to these stellar populations have been predicted.
Underlying stellar populations, dominated by B-type stars, have been detected
in NGC 1140, NGC 4449, and possibly NGC 3991. We characterized the young
stellar populations of less than 5 Myr in Seyfert 2 nuclei.
| astro-ph | we presents the main physical properties of very young stellar populations seen with fuse in 24 individual starbursts these characteristics have been obtained using the evolutionary spectral synthesis technique in the farultraviolet range with the lavalsb code for each starburst quantitative values for age metallicity initial mass function slope stellar mass and internal extinction have been obtained and discussed in details limits of the code have been tested one main conclusion is that most starbursts and probably all of them cannot be represented by any continuous star formation burst in the farultraviolet also quantitative values of various optical diagnostics related to these stellar populations have been predicted underlying stellar populations dominated by btype stars have been detected in ngc 1140 ngc 4449 and possibly ngc 3991 we characterized the young stellar populations of less than 5 myr in seyfert 2 nuclei | [['we', 'presents', 'the', 'main', 'physical', 'properties', 'of', 'very', 'young', 'stellar', 'populations', 'seen', 'with', 'fuse', 'in', '24', 'individual', 'starbursts', 'these', 'characteristics', 'have', 'been', 'obtained', 'using', 'the', 'evolutionary', 'spectral', 'synthesis', 'technique', 'in', 'the', 'farultraviolet', 'range', 'with', 'the', 'lavalsb', 'code', 'for', 'each', 'starburst', 'quantitative', 'values', 'for', 'age', 'metallicity', 'initial', 'mass', 'function', 'slope', 'stellar', 'mass', 'and', 'internal', 'extinction', 'have', 'been', 'obtained', 'and', 'discussed', 'in', 'details', 'limits', 'of', 'the', 'code', 'have', 'been', 'tested', 'one', 'main', 'conclusion', 'is', 'that', 'most', 'starbursts', 'and', 'probably', 'all', 'of', 'them', 'can', 'not', 'be', 'represented', 'by', 'any', 'continuous', 'star', 'formation', 'burst', 'in', 'the', 'farultraviolet', 'also', 'quantitative', 'values', 'of', 'various', 'optical', 'diagnostics', 'related', 'to', 'these', 'stellar', 'populations', 'have', 'been', 'predicted', 'underlying', 'stellar', 'populations', 'dominated', 'by', 'btype', 'stars', 'have', 'been', 'detected', 'in', 'ngc', '1140', 'ngc', '4449', 'and', 'possibly', 'ngc', '3991', 'we', 'characterized', 'the', 'young', 'stellar', 'populations', 'of', 'less', 'than', '5', 'myr', 'in', 'seyfert', '2', 'nuclei']] | [0.005232430052041928, 0.1118147010677197, -0.0885623786070034, 0.1384474489819721, -0.050144433707712176, -0.09353054218540788, -0.019984923100019706, 0.5224366597567044, -0.11056236910273763, -0.385767220460037, 0.044760519049150196, -0.22128285220593003, -0.019663416341290617, 0.22733950429655453, -0.07741502191044113, -0.01599272618673788, 0.0757214606818842, -0.10174779753788565, -0.00033853616704173544, -0.29250740837503936, 0.3244108705193544, 0.035068901397736996, 0.09171612655532592, -0.044691994026673176, 0.0244890031444424, -0.13481409572385225, -0.09489844061090802, -0.043839994791551685, -0.16689163601177237, 0.03301154853485472, 0.27394928237429905, 0.16961955139578605, 0.24043951563682434, -0.34649367287015237, -0.2557146116985497, 0.07491365112595472, 0.24074132689390437, 0.019746630208183687, -0.11028005518943917, -0.2638876750695367, 0.07391596498819901, -0.21267747945079568, -0.16745918369620827, 0.08456648797695096, 0.057616600429916634, 0.06278892174662921, -0.1846884055994451, 0.11978778909749008, -0.028591373421793395, 0.1781580857734414, -0.1780013935475326, -0.17651094981582327, -0.07717171589206534, 0.1523466906460755, 0.018172994868644904, 0.05235728293538411, 0.16501811655661, -0.12018485877544005, -0.02482710314372964, 0.3551003365308469, -0.036650012120631764, -0.0038016958068065503, 0.28190402190551056, -0.21384142023504626, -0.22598697583963898, 0.11335837818906767, 0.10237147023547144, 0.11201946467412173, -0.21220442916907317, 0.0032153074210179403, -0.004022494385329385, 0.22602750150922765, 0.06898157176370105, 0.09578573739763799, 0.28411887373431777, 0.11146488389436235, -0.0331052283786158, 0.0611455816608781, -0.19465390179848716, -0.05432809141368757, -0.15348964399271744, -0.05093580360874428, -0.09685444444540148, 0.11835142407173717, -0.14738042931962456, -0.08899058262588033, 0.3577823944452569, 0.07476407092342034, 0.21310235606176212, 0.015916534569874036, 0.26543165290569687, 0.10474317252688797, 0.14597094318902132, 0.13055630186440567, 0.314678182977364, 0.21059659253376542, 0.05384173653755628, -0.23928375395323673, 0.14949407309941048, 0.018561518052592874] |
708.1352 | The theory of the exponential differential equations of semiabelian
varieties | The complete first order theories of the exponential differential equations
of semiabelian varieties are given. It is shown that these theories also arises
from an amalgamation-with-predimension construction in the style of Hrushovski.
The theory includes necessary and sufficient conditions for a system of
equations to have a solution. The necessary condition generalizes Ax's
differential fields version of Schanuel's conjecture to semiabelian varieties.
There is a purely algebraic corollary, the "Weak CIT" for semiabelian
varieties, which concerns the intersections of algebraic subgroups with
algebraic varieties.
| math.AG math.LO | the complete first order theories of the exponential differential equations of semiabelian varieties are given it is shown that these theories also arises from an amalgamationwithpredimension construction in the style of hrushovski the theory includes necessary and sufficient conditions for a system of equations to have a solution the necessary condition generalizes axs differential fields version of schanuels conjecture to semiabelian varieties there is a purely algebraic corollary the weak cit for semiabelian varieties which concerns the intersections of algebraic subgroups with algebraic varieties | [['the', 'complete', 'first', 'order', 'theories', 'of', 'the', 'exponential', 'differential', 'equations', 'of', 'semiabelian', 'varieties', 'are', 'given', 'it', 'is', 'shown', 'that', 'these', 'theories', 'also', 'arises', 'from', 'an', 'amalgamationwithpredimension', 'construction', 'in', 'the', 'style', 'of', 'hrushovski', 'the', 'theory', 'includes', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'a', 'system', 'of', 'equations', 'to', 'have', 'a', 'solution', 'the', 'necessary', 'condition', 'generalizes', 'axs', 'differential', 'fields', 'version', 'of', 'schanuels', 'conjecture', 'to', 'semiabelian', 'varieties', 'there', 'is', 'a', 'purely', 'algebraic', 'corollary', 'the', 'weak', 'cit', 'for', 'semiabelian', 'varieties', 'which', 'concerns', 'the', 'intersections', 'of', 'algebraic', 'subgroups', 'with', 'algebraic', 'varieties']] | [-0.22048490084230854, -0.0024193699725171417, -0.1391037846634905, 0.11280005165734833, -0.11549691404552614, -0.15798907304541712, -0.042196380609859634, 0.23665302648511996, -0.3078071607153369, -0.2234465072312987, 0.09214689731121019, -0.1911861420726875, -0.1429387112933559, 0.22112857196928867, -0.21253719527543669, 0.010921872260206076, 0.027180348163897014, 0.050202921136697554, -0.06688352798375424, -0.3727207977145192, 0.4477837594304548, -0.0721883862896497, 0.2378257346866899, 0.09013525901519391, 0.13796295312020074, -0.01445759505493544, 0.005955050735880273, -0.01204245649726994, -0.15245479674133575, 0.1087234263274684, 0.3439328915562974, 0.13043575544269329, 0.20396619957748308, -0.40747436355934086, -0.1379603127193643, 0.16927654164876924, 0.09913158370742955, 0.11856980913975108, -0.0005992610534899924, -0.26392867611384535, 0.10622183971825135, -0.1632450339889311, -0.2189896076984973, -0.09697948383863073, 0.06612362108384091, 0.041290359930640244, -0.2882982557190649, -0.0025923985357435577, 0.17950045153167637, 0.19698107156745462, -0.08515708586649902, -0.06808245249361877, -0.05050465166680964, 0.03774019660069102, 0.024075074020369226, 0.012946884467614344, 0.03325601931414511, -0.13789237751232752, -0.1250025718977832, 0.38342747081026257, -0.0362274309617456, -0.2041482847318592, 0.15049931995503335, -0.11699480554425573, -0.180029034614563, 0.1656050670903221, 0.05872408637260816, 0.1977810745228486, -0.07819781904613757, 0.20245113680405677, -0.15304935391408853, 0.06383564779871559, 0.0870938945213804, -0.013905681327479073, 0.0962082288250417, 0.05203839946336236, 0.07479321105119559, 0.13181250406070108, 0.09508470623159265, -0.06081226808075086, -0.3990564479167203, -0.1613378244573503, -0.027818394242084574, 0.16338993792410894, -0.08848519566036195, -0.18625662437778986, 0.36219117527894945, 0.09430884638329945, 0.08548121506639991, 0.11121446788114642, 0.23097325013165015, 0.11372856298357764, 0.0390303547056504, 0.014865870496622113, 0.14065667529063053, 0.33716439996307423, 0.03653121713257159, -0.09315205545793007, 0.02568224319312946, 0.20433579845892558] |
708.1353 | Non-localities in nucleon-nucleus potentials | Two causes of non-locality inherent in nucleon-nucleus scattering are
considered. They are the results of two-nucleon antisymmetry of the projectile
with each nucleon in the nucleus and the dynamic polarization potential
representation of channel coupling. For energies $\sim 40 - 300$ MeV, a
g-folding model of the optical potential is used to show the influence of the
knock-out process that is a result of the two-nucleon antisymmetry. To explore
the dynamic polarization potential caused by channel coupling, a multichannel
algebraic scattering model has been used for low-energy scattering.
| nucl-th | two causes of nonlocality inherent in nucleonnucleus scattering are considered they are the results of twonucleon antisymmetry of the projectile with each nucleon in the nucleus and the dynamic polarization potential representation of channel coupling for energies sim 40 300 mev a gfolding model of the optical potential is used to show the influence of the knockout process that is a result of the twonucleon antisymmetry to explore the dynamic polarization potential caused by channel coupling a multichannel algebraic scattering model has been used for lowenergy scattering | [['two', 'causes', 'of', 'nonlocality', 'inherent', 'in', 'nucleonnucleus', 'scattering', 'are', 'considered', 'they', 'are', 'the', 'results', 'of', 'twonucleon', 'antisymmetry', 'of', 'the', 'projectile', 'with', 'each', 'nucleon', 'in', 'the', 'nucleus', 'and', 'the', 'dynamic', 'polarization', 'potential', 'representation', 'of', 'channel', 'coupling', 'for', 'energies', 'sim', '40', '300', 'mev', 'a', 'gfolding', 'model', 'of', 'the', 'optical', 'potential', 'is', 'used', 'to', 'show', 'the', 'influence', 'of', 'the', 'knockout', 'process', 'that', 'is', 'a', 'result', 'of', 'the', 'twonucleon', 'antisymmetry', 'to', 'explore', 'the', 'dynamic', 'polarization', 'potential', 'caused', 'by', 'channel', 'coupling', 'a', 'multichannel', 'algebraic', 'scattering', 'model', 'has', 'been', 'used', 'for', 'lowenergy', 'scattering']] | [-0.1293411131776955, 0.17252251514950875, -0.09074336769937098, 0.10183104702841304, -0.028276535965055333, -0.1155079486846774, 0.011707323860248616, 0.38335472004937715, -0.2743370104527593, -0.26766633983144816, -0.026074630574954825, -0.3082419606460922, -0.09344130308613524, 0.11054020029781707, 0.07725604503661737, 0.06886198882270476, 0.024768620204908408, 0.04434280675546876, -0.020821310257292943, -0.1432964583837438, 0.34259328796346294, 0.06439501829124217, 0.2442916308840116, 0.18447222474612224, 0.08300905142664566, 0.1023599458537225, 0.008771333789945334, -0.06358880089360407, -0.05121035585168217, 0.08461893302784569, 0.23549181899462623, 0.03517301204271786, 0.18070923878500858, -0.42492502992009296, -0.20957995997206574, 0.08854964430625925, 0.1347046804175466, 0.1538899738593134, -0.04228996686321608, -0.2974059522879877, 0.017679043189119333, -0.22037522647337154, -0.16796412085043802, -0.05685173063378396, 0.016589318455635816, 0.03123401591404416, -0.30722553477804554, 0.07440497624238246, 0.0041782637608462365, 0.028051579146292704, -0.11013435403249044, -0.17110257276103713, -0.004754002982129653, 0.07539026137848182, 0.07202805590049106, 0.05053473963942807, 0.14398182281988792, -0.14410200786787544, -0.11348592936885597, 0.4175545693985347, -0.014675503596663475, -0.16657729464015741, 0.13639095407006085, -0.141560738328202, -0.05548939705109117, 0.1936928220414396, 0.17644590614684696, 0.04400245952366413, -0.19865426040875414, 0.09337543126599777, -0.010082782396040428, 0.1763329866674097, 0.09510014246849494, 0.08876333815639774, 0.14130858499984975, 0.20711486955205427, -0.030102664390685915, 0.08482100010646143, -0.18436267916327234, -0.08221433120083878, -0.28049783537100104, -0.04164895507367863, -0.15906860600172104, 0.07208141519409743, -0.08816800375141862, -0.07711033991955478, 0.39828541731440475, 0.12376819007719557, 0.17525738493764195, -0.03516492712172283, 0.2792250587412253, 0.12761181946201572, 0.11170320902233837, 0.005093248726949952, 0.3294598583624452, 0.2008246519875809, 0.07715056329194842, -0.28175154774471173, 0.0633983726094038, -0.0116138211290898] |
708.1354 | Multi-channel algebraic scattering theory and the structure of exotic
compound nuclei | A Multi-Channel Algebraic Scattering (MCAS) theory is presented with which
the properties of a compound nucleus are found from a coupled-channel problem.
The method defines both the bound states and resonances of the compound
nucleus, even if the compound nucleus is particle unstable. All resonances of
the system are found no matter how weak and/or narrow. Spectra of mass-7 nuclei
and of {}^{15}F, and MCAS results for a radiative capture cross section are
presented.
| nucl-th | a multichannel algebraic scattering mcas theory is presented with which the properties of a compound nucleus are found from a coupledchannel problem the method defines both the bound states and resonances of the compound nucleus even if the compound nucleus is particle unstable all resonances of the system are found no matter how weak andor narrow spectra of mass7 nuclei and of 15f and mcas results for a radiative capture cross section are presented | [['a', 'multichannel', 'algebraic', 'scattering', 'mcas', 'theory', 'is', 'presented', 'with', 'which', 'the', 'properties', 'of', 'a', 'compound', 'nucleus', 'are', 'found', 'from', 'a', 'coupledchannel', 'problem', 'the', 'method', 'defines', 'both', 'the', 'bound', 'states', 'and', 'resonances', 'of', 'the', 'compound', 'nucleus', 'even', 'if', 'the', 'compound', 'nucleus', 'is', 'particle', 'unstable', 'all', 'resonances', 'of', 'the', 'system', 'are', 'found', 'no', 'matter', 'how', 'weak', 'andor', 'narrow', 'spectra', 'of', 'mass7', 'nuclei', 'and', 'of', '15f', 'and', 'mcas', 'results', 'for', 'a', 'radiative', 'capture', 'cross', 'section', 'are', 'presented']] | [-0.09775804577873566, 0.13817157182288733, -0.12959210841438254, 0.1320003732390752, 0.0016703975097452466, -0.1364038260653615, 0.027568912339661068, 0.34104696477486474, -0.21839960015102014, -0.2488067053082223, 0.005006118828581797, -0.3456652143315689, -0.10342564302924517, 0.15750608839428154, 0.07995638978113798, 0.04926829170309813, 0.06294935824651574, 0.07772391011019715, -0.02015411839631663, -0.15023847757461103, 0.3540130669150401, 0.060045027082811134, 0.2128334236079575, 0.10783663098698378, 0.06420002193693575, 0.026701192607524227, 0.03836904331487981, -0.058995682872026355, -0.08044329496742403, 0.10962113268387101, 0.2628070626508545, 0.04660194807031469, 0.13876323734183568, -0.3743802456789323, -0.18735995327399388, 0.05604866412279473, 0.18657894892542548, 0.13814550634895176, -0.08373419733008533, -0.31829619387517105, 0.09316378456188014, -0.1834345675274931, -0.150958391359529, -0.0660406343726995, 0.010971491413845404, 0.0011819251309576873, -0.2700796117880256, 0.05130003904923797, 0.04827712176720033, 0.03165450636800882, -0.12247269463448508, -0.18459857163661336, -0.024368127984170977, 0.04989702829688385, 0.05244700392280277, -0.03536610263934661, 0.19180136554673113, -0.10402624286578774, -0.08712181978154222, 0.4026206036324839, 0.005349169960371344, -0.13581597185819536, 0.14109759519782825, -0.16055586091809076, -0.10297531960846705, 0.24900591022939095, 0.15082129359094276, 0.15049206067468165, -0.15712310057888562, 0.10752324437536928, -0.08519975886667601, 0.18926892973281242, 0.012820848748339591, 0.0695425323572488, 0.14615926912960572, 0.1631293835722514, -0.03328114199275906, 0.079548827133368, -0.14647665978535204, -0.09363240890544713, -0.2836046530613424, -0.08956582046733741, -0.112097784374979, -0.007228615152574069, 0.014452642824688007, -0.14438597329678265, 0.3254270989296807, 0.002850197834541669, 0.23245683392962893, -0.0061533316652089155, 0.2629994372207973, 0.11880162677324906, 0.023966799106297863, 0.06602189174500873, 0.2942572178577098, 0.2418106945728682, 0.046719266630306434, -0.25113686552661396, 0.062125842074385366, 0.02852855559211929] |
708.1355 | Confronting the Hubble Diagram of Gamma-Ray Bursts with Cardassian
Cosmology | We construct the Hubble diagram (HD) of Gamma-Ray Bursts (GRBs) with
redshifts reaching up to $z \sim 6$, by using five luminosity vs. luminosity
indicator relations calibrated with the Cardassian cosmology. This model has a
major interesting feature: despite of being matter-dominated and flat, it can
explain the present accelerate expansion of the universe. This is the first
study of this class of models using high redshift GRBs. We have performed a
$\chi$-square statistical analysis of the GRBs calibrated with the Cardassian
model, and also combined them with both the current Cosmic Microwave Background
and Baryonic Acoustic Oscillation data. Our results show consistency between
the current observational data and the model predictions. In particular, the
best-fit parameters obtained from the $\chi^2$-analysis are in agreement with
those obtained from the Concordance Cosmology ($\Lambda$-CDM). We determine the
redshift at which the universe would start to follow the Cardassian expansion,
i. e., \zc, and both the redshift at which the universe had started to
accelerate, i. e., \zac, and the age-redshift relation $H_0t_0$. Our results
also show that the universe, from the point of view of GRBs, had undergo a
transition to acceleration at a redshift $z \approx 0.2-0.7$, which agrees with
the SNIa results. Hence, after confronting the Cardassian scenario with the
GRBs HD and proving its consistency with it, we conclude that GRBs should
indeed be considered a complementary tool to several other astronomical
observations for studies of high accuracy in cosmology.
| astro-ph gr-qc hep-ex hep-th | we construct the hubble diagram hd of gammaray bursts grbs with redshifts reaching up to z sim 6 by using five luminosity vs luminosity indicator relations calibrated with the cardassian cosmology this model has a major interesting feature despite of being matterdominated and flat it can explain the present accelerate expansion of the universe this is the first study of this class of models using high redshift grbs we have performed a chisquare statistical analysis of the grbs calibrated with the cardassian model and also combined them with both the current cosmic microwave background and baryonic acoustic oscillation data our results show consistency between the current observational data and the model predictions in particular the bestfit parameters obtained from the chi2analysis are in agreement with those obtained from the concordance cosmology lambdacdm we determine the redshift at which the universe would start to follow the cardassian expansion i e zc and both the redshift at which the universe had started to accelerate i e zac and the ageredshift relation h_0t_0 our results also show that the universe from the point of view of grbs had undergo a transition to acceleration at a redshift z approx 0207 which agrees with the snia results hence after confronting the cardassian scenario with the grbs hd and proving its consistency with it we conclude that grbs should indeed be considered a complementary tool to several other astronomical observations for studies of high accuracy in cosmology | [['we', 'construct', 'the', 'hubble', 'diagram', 'hd', 'of', 'gammaray', 'bursts', 'grbs', 'with', 'redshifts', 'reaching', 'up', 'to', 'z', 'sim', '6', 'by', 'using', 'five', 'luminosity', 'vs', 'luminosity', 'indicator', 'relations', 'calibrated', 'with', 'the', 'cardassian', 'cosmology', 'this', 'model', 'has', 'a', 'major', 'interesting', 'feature', 'despite', 'of', 'being', 'matterdominated', 'and', 'flat', 'it', 'can', 'explain', 'the', 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708.1356 | Characterization of the Critical Submanifolds in Quantum Ensemble
Control Landscapes | A quantum control landscape is defined as the physical objective as a
function of the control variables to be optimized. Analyzing the topology of
these landscapes is important for understanding the origins of the increasing
number of laboratory successes in the optimal control of quantum processes.
This paper proposes a simple scheme to compute the characteristics of the
critical topology of the quantum ensemble control landscapes for observables,
showing that the set of disjoint critical submanifolds one-to-one corresponds
to a finite number of contingency tables that solely depend on the degeneracy
structure of the eigenvalues of the initial system density matrix and the
observable to be controlled. The landscape characteristics can be calculated as
functions of the table entries, including the dimensions and the numbers of
positive and negative eigenvalues of the Hessian quadratic form of each of the
connected components of the critical submanifolds. Typical examples are given
to illustrate the effectiveness of this method.
| quant-ph | a quantum control landscape is defined as the physical objective as a function of the control variables to be optimized analyzing the topology of these landscapes is important for understanding the origins of the increasing number of laboratory successes in the optimal control of quantum processes this paper proposes a simple scheme to compute the characteristics of the critical topology of the quantum ensemble control landscapes for observables showing that the set of disjoint critical submanifolds onetoone corresponds to a finite number of contingency tables that solely depend on the degeneracy structure of the eigenvalues of the initial system density matrix and the observable to be controlled the landscape characteristics can be calculated as functions of the table entries including the dimensions and the numbers of positive and negative eigenvalues of the hessian quadratic form of each of the connected components of the critical submanifolds typical examples are given to illustrate the effectiveness of this method | [['a', 'quantum', 'control', 'landscape', 'is', 'defined', 'as', 'the', 'physical', 'objective', 'as', 'a', 'function', 'of', 'the', 'control', 'variables', 'to', 'be', 'optimized', 'analyzing', 'the', 'topology', 'of', 'these', 'landscapes', 'is', 'important', 'for', 'understanding', 'the', 'origins', 'of', 'the', 'increasing', 'number', 'of', 'laboratory', 'successes', 'in', 'the', 'optimal', 'control', 'of', 'quantum', 'processes', 'this', 'paper', 'proposes', 'a', 'simple', 'scheme', 'to', 'compute', 'the', 'characteristics', 'of', 'the', 'critical', 'topology', 'of', 'the', 'quantum', 'ensemble', 'control', 'landscapes', 'for', 'observables', 'showing', 'that', 'the', 'set', 'of', 'disjoint', 'critical', 'submanifolds', 'onetoone', 'corresponds', 'to', 'a', 'finite', 'number', 'of', 'contingency', 'tables', 'that', 'solely', 'depend', 'on', 'the', 'degeneracy', 'structure', 'of', 'the', 'eigenvalues', 'of', 'the', 'initial', 'system', 'density', 'matrix', 'and', 'the', 'observable', 'to', 'be', 'controlled', 'the', 'landscape', 'characteristics', 'can', 'be', 'calculated', 'as', 'functions', 'of', 'the', 'table', 'entries', 'including', 'the', 'dimensions', 'and', 'the', 'numbers', 'of', 'positive', 'and', 'negative', 'eigenvalues', 'of', 'the', 'hessian', 'quadratic', 'form', 'of', 'each', 'of', 'the', 'connected', 'components', 'of', 'the', 'critical', 'submanifolds', 'typical', 'examples', 'are', 'given', 'to', 'illustrate', 'the', 'effectiveness', 'of', 'this', 'method']] | [-0.16760932555040106, 0.12094722736555223, -0.07095828984314814, 0.06249797269582558, -0.033925105817615986, -0.09662013632269242, 0.05308931632465922, 0.3030957505584527, -0.2857472892576017, -0.3030195455544461, 0.09691132862010421, -0.26213961694903004, -0.18139160737299767, 0.19701176391651806, -0.048339323325751304, 0.09037094861448097, 0.03864815974315533, 0.04989106198683238, -0.06664861876887675, -0.23908905447863688, 0.3671426724803706, 0.04285603940848094, 0.2678733582978543, 0.05814339816629982, 0.12072610483543637, -0.00855244603455783, 0.007285490148485853, 0.03994721846016219, -0.10685964309427967, 0.15265748908710428, 0.2533217718860564, 0.14591466357262853, 0.26479179594958296, -0.3852075787070088, -0.19025041826684266, 0.1572517489369672, 0.12721252230366167, 0.06719495770402062, -0.010366415966881247, -0.2519440284739129, 0.09142040907336661, -0.12204580433153285, -0.15423718207360557, -0.07470036089235248, 0.011100419370147089, 0.08443702128044187, -0.257424897056458, 0.031288334723705284, 0.02403489554611345, 0.07175737537312298, -0.06963381874942197, -0.12372712097473992, -0.03774884555530615, 0.1786975434784276, 0.016107328585349023, -0.0067783920340634025, 0.15920811985882047, -0.1345384827343365, -0.11479555702027984, 0.37063690673452443, 0.00021991707557716812, -0.2279759424019199, 0.13770694490999746, -0.1165842384209846, -0.09630636361917147, 0.10704649890211816, 0.19213761834320253, 0.10927430234956913, -0.11979559838856893, 0.10379887970339041, -0.022913201297902, 0.12577010172819242, 0.02669934196791683, 0.04238045253367044, 0.19684931029601452, 0.1393958611998898, 0.09860748158149736, 0.1480098609067798, -0.030170781503562838, -0.15140348702418402, -0.34013450981822246, -0.17070756517708874, -0.23169513111516166, 0.05458936882011282, -0.12147010615043631, -0.22241454023139504, 0.4586478945007352, 0.12801036226431814, 0.2505052328730623, 0.032940812540264465, 0.2653219490073239, 0.13603033958824176, 0.04456555507092092, 0.026037947913909402, 0.17695749479417616, 0.14686000473851052, 0.042608937478433244, -0.23739557111791024, 0.08427302031300198, 0.058196561803551726] |
708.1357 | New equivalences for pattern avoiding involutions | We complete the Wilf classification of signed patterns of length 5 for both
signed permutations and signed involutions. New general equivalences of
patterns are given which prove Jaggard's conjectures concerning involutions in
the symmetric group avoiding certain patterns of length 5 and 6. In this way,
we also complete the Wilf classification of S_5, S_6, and S_7 for both
permutations and involutions.
| math.CO | we complete the wilf classification of signed patterns of length 5 for both signed permutations and signed involutions new general equivalences of patterns are given which prove jaggards conjectures concerning involutions in the symmetric group avoiding certain patterns of length 5 and 6 in this way we also complete the wilf classification of s_5 s_6 and s_7 for both permutations and involutions | [['we', 'complete', 'the', 'wilf', 'classification', 'of', 'signed', 'patterns', 'of', 'length', '5', 'for', 'both', 'signed', 'permutations', 'and', 'signed', 'involutions', 'new', 'general', 'equivalences', 'of', 'patterns', 'are', 'given', 'which', 'prove', 'jaggards', 'conjectures', 'concerning', 'involutions', 'in', 'the', 'symmetric', 'group', 'avoiding', 'certain', 'patterns', 'of', 'length', '5', 'and', '6', 'in', 'this', 'way', 'we', 'also', 'complete', 'the', 'wilf', 'classification', 'of', 's_5', 's_6', 'and', 's_7', 'for', 'both', 'permutations', 'and', 'involutions']] | [-0.21216654249268477, 0.15740933669272994, -0.03251144717462727, 0.1261499752882166, -0.07815020983336401, -0.11204813854371914, 0.06753280703894428, 0.3549905362554261, -0.3066466534472086, -0.31047779062121617, 0.08486870030841989, -0.29656145355251967, -0.16703223919526475, 0.1683988221844689, -0.16046463676774111, 0.0326337301798287, 0.040828487866359654, 0.06659556685595727, -0.12443474709193726, -0.34341686087484913, 0.33409535858902284, -0.06656551321388268, 0.2512478339485824, 0.07186191416055453, 0.04605788192482757, 0.049363560860091055, -0.11602506914832553, -0.018815307893225403, -0.14294414158116597, 0.08402806878486863, 0.27219854405180355, 0.1549192918731724, 0.096647460563261, -0.3504984358050784, -0.057426668482176105, 0.2290797622294211, 0.1591700426664024, 0.0738585356558047, -0.03985759855980878, -0.30939470329245583, 0.1577171282232052, -0.1384085571454441, -0.13223307396544784, -0.01379682462601388, 0.15245598875230454, 0.06160247942707578, -0.23333296317179672, 0.030745707455636994, 0.16020423749492305, 0.19712706181968823, 0.01030652021195312, -0.1301592197937158, -0.00683625161525656, 0.15407989934453223, 0.013869892439392746, -0.030960310151281416, -0.0203061392454461, -0.07861174097986984, -0.2302778143527322, 0.3716910827111025, 0.060143859660039184, -0.21184867052514045, 0.07601508438648259, -0.15249524349499433, -0.21260334703246833, 0.08913310921033386, 0.09143003282427299, 0.1680992346745534, -0.04132902500082235, 0.05495449684972524, -0.2028398117142134, 0.08296817324895289, 0.25182924121160244, -0.04147138204101137, 0.126872379546527, 0.07236288506232325, 0.09158402593562105, 0.13120941005525041, 0.01611770286423261, 0.015538986772298813, -0.3206003194400033, -0.14175671409265916, -0.007535946127943328, 0.08561809306017688, -0.19468314608188775, -0.18163496545958716, 0.46776252545294217, 0.07797723126093872, 0.14301489787481603, 0.19204363509531697, 0.1301043840644301, -0.0362154628592925, 0.06652415815557612, 0.04997085917313568, 0.01907010550503848, 0.23323685170884137, -0.06850090825960772, -0.12631284066888152, -0.015782588749330063, 0.18442798200536703] |
708.1358 | Electron Removal Self Energy and its application to Ca2CuO2Cl2 | We propose using the self energy defined for the electron removal Green's
function. Starting from the electron removal Green's function, we obtained
expressions for the removal self energy Sigma^ER (k,omega) that are applicable
for non-quasiparticle photoemission spectral functions from a single band
system. Our method does not assume momentum independence and produces the self
energy in the full k-omega space. The method is applied to the angle resolved
photoemission from Ca_2CuO_2Cl_2 and the result is found to be compatible with
the self energy value from the peak width of sharp features. The self energy is
found to be only weakly k-dependent. In addition, the Im Sigma shows a maximum
at around 1 eV where the high energy kink is located.
| cond-mat.supr-con cond-mat.str-el | we propose using the self energy defined for the electron removal greens function starting from the electron removal greens function we obtained expressions for the removal self energy sigmaer komega that are applicable for nonquasiparticle photoemission spectral functions from a single band system our method does not assume momentum independence and produces the self energy in the full komega space the method is applied to the angle resolved photoemission from ca_2cuo_2cl_2 and the result is found to be compatible with the self energy value from the peak width of sharp features the self energy is found to be only weakly kdependent in addition the im sigma shows a maximum at around 1 ev where the high energy kink is located | [['we', 'propose', 'using', 'the', 'self', 'energy', 'defined', 'for', 'the', 'electron', 'removal', 'greens', 'function', 'starting', 'from', 'the', 'electron', 'removal', 'greens', 'function', 'we', 'obtained', 'expressions', 'for', 'the', 'removal', 'self', 'energy', 'sigmaer', 'komega', 'that', 'are', 'applicable', 'for', 'nonquasiparticle', 'photoemission', 'spectral', 'functions', 'from', 'a', 'single', 'band', 'system', 'our', 'method', 'does', 'not', 'assume', 'momentum', 'independence', 'and', 'produces', 'the', 'self', 'energy', 'in', 'the', 'full', 'komega', 'space', 'the', 'method', 'is', 'applied', 'to', 'the', 'angle', 'resolved', 'photoemission', 'from', 'ca_2cuo_2cl_2', 'and', 'the', 'result', 'is', 'found', 'to', 'be', 'compatible', 'with', 'the', 'self', 'energy', 'value', 'from', 'the', 'peak', 'width', 'of', 'sharp', 'features', 'the', 'self', 'energy', 'is', 'found', 'to', 'be', 'only', 'weakly', 'kdependent', 'in', 'addition', 'the', 'im', 'sigma', 'shows', 'a', 'maximum', 'at', 'around', '1', 'ev', 'where', 'the', 'high', 'energy', 'kink', 'is', 'located']] | [-0.07908953442394796, 0.11374643648448282, -0.08562345990222417, 0.07459162948496577, -0.038213373377073964, -0.10629946105338696, 0.04025758232993755, 0.3969939994398786, -0.2695626164277812, -0.3061153442293656, -0.008140530611364907, -0.3053167361312178, -0.07630745931958952, 0.20049530327048137, 0.02516620696185767, 0.008176470664525483, 0.040474756003040506, 0.028907922540689593, -0.08695861687609817, -0.1200195434659782, 0.3360802018310593, 0.08492274472036031, 0.2845526713283122, 0.1270821410223466, 0.07785681192371838, 0.052080682523846, 0.011979348934059884, 0.030500858728411927, -0.12473638198650765, 0.07081498346680838, 0.23847532616497777, 0.029389056924949673, 0.21396377998865954, -0.36690096331744637, -0.21296735686355686, 0.0499492461965302, 0.10553239294065617, 0.08151017045289152, -0.021006038732349307, -0.20885949147113858, 0.09295566318587971, -0.12025381330040698, -0.1493727290462859, -0.03707398633089136, -0.032817645861274176, 0.016025539824128653, -0.29095681553643915, 0.14980449378020874, -0.005867452307862519, -0.0007952474304200971, -0.10427017246192995, -0.12673826232071214, -0.09300812091013151, 0.061799709579492566, 0.0018840278303172409, 0.08408741991548259, 0.1301480830967927, -0.10161385015474961, -0.0398205608313418, 0.3421808863215211, -0.08144099127399508, -0.16938166047970787, 0.14323928024416335, -0.18045898645865818, -0.07766867808199354, 0.22188812627324037, 0.05343342784541745, 0.11737917275989757, -0.14268474615797275, 0.10381936493521447, -0.0023026199162225515, 0.2012240054289333, 0.06407192289563161, 0.009632149272981812, 0.20594321814279595, 0.12447995716752876, 0.07001614609357565, 0.09699119750934676, -0.15490233747899032, -0.03260806711202785, -0.29145259646495353, -0.11155979249684117, -0.23576103296608297, 0.05604937613343511, -0.032075579391406976, -0.16963684507997848, 0.41545397820765106, 0.0952936623190694, 0.23113581894294305, 0.04609982145778021, 0.2976003233734675, 0.22811487859932847, 0.09435687686841027, 0.09466755969700318, 0.24733048242305508, 0.09377942428759792, 0.11343069218036507, -0.22823815030718864, 0.011519450029092175, 0.04958480401277667] |
708.1359 | Dynamic Origin of Vortex Core Switching in Soft Magnetic Nanodots | The magnetic vortex with the in-plane curling magnetization and the
out-of-plane magnetization at the core is a unique ground state in nanoscale
magnetic elements. This kind of magnetic vortex can be used as a memory unit
for information storage, through its downward or upward core-orientation and,
thus, controllable core switching deserves some special attention. Our
analytical and micromagnetic calculations reveal that the origin of the vortex
core reversal is a gyrotropic field. This field is induced by vortex dynamic
motion and is proportional to the velocity of the moving vortex. Our
calculations elucidate the physical origin of the vortex core dynamic reversal
and offer a key to effective manipulation of the vortex-core orientation.
| cond-mat.mtrl-sci | the magnetic vortex with the inplane curling magnetization and the outofplane magnetization at the core is a unique ground state in nanoscale magnetic elements this kind of magnetic vortex can be used as a memory unit for information storage through its downward or upward coreorientation and thus controllable core switching deserves some special attention our analytical and micromagnetic calculations reveal that the origin of the vortex core reversal is a gyrotropic field this field is induced by vortex dynamic motion and is proportional to the velocity of the moving vortex our calculations elucidate the physical origin of the vortex core dynamic reversal and offer a key to effective manipulation of the vortexcore orientation | [['the', 'magnetic', 'vortex', 'with', 'the', 'inplane', 'curling', 'magnetization', 'and', 'the', 'outofplane', 'magnetization', 'at', 'the', 'core', 'is', 'a', 'unique', 'ground', 'state', 'in', 'nanoscale', 'magnetic', 'elements', 'this', 'kind', 'of', 'magnetic', 'vortex', 'can', 'be', 'used', 'as', 'a', 'memory', 'unit', 'for', 'information', 'storage', 'through', 'its', 'downward', 'or', 'upward', 'coreorientation', 'and', 'thus', 'controllable', 'core', 'switching', 'deserves', 'some', 'special', 'attention', 'our', 'analytical', 'and', 'micromagnetic', 'calculations', 'reveal', 'that', 'the', 'origin', 'of', 'the', 'vortex', 'core', 'reversal', 'is', 'a', 'gyrotropic', 'field', 'this', 'field', 'is', 'induced', 'by', 'vortex', 'dynamic', 'motion', 'and', 'is', 'proportional', 'to', 'the', 'velocity', 'of', 'the', 'moving', 'vortex', 'our', 'calculations', 'elucidate', 'the', 'physical', 'origin', 'of', 'the', 'vortex', 'core', 'dynamic', 'reversal', 'and', 'offer', 'a', 'key', 'to', 'effective', 'manipulation', 'of', 'the', 'vortexcore', 'orientation']] | [-0.20843909440736752, 0.20130660393624566, -0.053723748361725096, 0.010623680475483914, -0.16132579139334016, -0.0787707110950058, 0.0495582955863938, 0.4046253166327785, -0.3087165252904275, -0.2736270163357923, 0.07508582872989271, -0.20484324538223778, -0.09223434618200242, 0.16687226290689847, 0.048181486868998036, 0.014298961131446828, -0.004000750331865025, 0.04547565841806188, -0.033500537581858225, -0.1325427498847083, 0.27002870394582196, 0.02435552627918826, 0.3167354891463349, 0.0823716726528281, 0.07030394955654629, -0.022144264071747393, 0.06768860792258888, 0.07710279773475902, -0.11989713551916534, 0.10276472741471869, 0.16319677720353606, -0.024579201974639937, 0.2340771247774163, -0.5102862666826695, -0.18561290467291006, 0.009952102010889316, 0.15674107031164958, 0.1533659785886162, -0.07081835234670766, -0.27363689574745614, 0.08931574774968405, -0.10298089366863548, -0.18908768566741077, -0.11046958695182443, 0.05106509609322529, 0.05968642835796345, -0.2442339828038322, 0.04426803902060783, 0.11152596792713407, 0.1005962701444462, -0.10507468869348356, -0.05078708477750687, -0.0856958080174601, 0.08625300372646702, 0.05867097774587039, 0.11362668375347441, 0.19703452019686146, -0.13904695584122756, -0.14823235633749782, 0.3900269676399018, 0.0021238893324542524, -0.14017068184745898, 0.09928342271346732, -0.16066715175734966, -0.04478856541183112, 0.1721749343736779, 0.10959661598982555, 0.07838953727124524, -0.08528528384964115, 0.009569215691694158, -0.045467579612574936, 0.14422942711098585, 0.05098582155187614, 0.027384462348501466, 0.3199758154140519, 0.22039690510531987, 0.055172362755651454, 0.17317795538838254, -0.18895294805822363, -0.11631218658190587, -0.27236634905317, -0.18848779359437426, -0.21426846191752702, 0.047260641519512446, -0.09116140686442772, -0.16974179951856577, 0.41530350238151315, 0.1370046891928983, 0.14792284018819504, -0.07210281907048609, 0.31837292921928956, 0.09674038331494168, 0.10176773418788798, 0.09245347970344094, 0.22610560228895338, 0.20574458412634808, 0.18657253378686228, -0.3703208443475887, 0.08677576288963403, -0.0035574544661877944] |
708.136 | Hole Structures in Nonlocally Coupled Noisy Phase Oscillators | We demonstrate that a system of nonlocally coupled noisy phase oscillators
can collectively exhibit a hole structure, which manifests itself in the
spatial phase distribution of the oscillators. The phase model is described by
a nonlinear Fokker-Planck equation, which can be reduced to the complex
Ginzburg-Landau equation near the Hopf bifurcation point of the uniform
solution. By numerical simulations, we show that the hole structure clearly
appears in the space-dependent order parameter, which corresponds to the
Nozaki-Bekki hole solution of the complex Ginzburg-Landau equation.
| nlin.PS | we demonstrate that a system of nonlocally coupled noisy phase oscillators can collectively exhibit a hole structure which manifests itself in the spatial phase distribution of the oscillators the phase model is described by a nonlinear fokkerplanck equation which can be reduced to the complex ginzburglandau equation near the hopf bifurcation point of the uniform solution by numerical simulations we show that the hole structure clearly appears in the spacedependent order parameter which corresponds to the nozakibekki hole solution of the complex ginzburglandau equation | [['we', 'demonstrate', 'that', 'a', 'system', 'of', 'nonlocally', 'coupled', 'noisy', 'phase', 'oscillators', 'can', 'collectively', 'exhibit', 'a', 'hole', 'structure', 'which', 'manifests', 'itself', 'in', 'the', 'spatial', 'phase', 'distribution', 'of', 'the', 'oscillators', 'the', 'phase', 'model', 'is', 'described', 'by', 'a', 'nonlinear', 'fokkerplanck', 'equation', 'which', 'can', 'be', 'reduced', 'to', 'the', 'complex', 'ginzburglandau', 'equation', 'near', 'the', 'hopf', 'bifurcation', 'point', 'of', 'the', 'uniform', 'solution', 'by', 'numerical', 'simulations', 'we', 'show', 'that', 'the', 'hole', 'structure', 'clearly', 'appears', 'in', 'the', 'spacedependent', 'order', 'parameter', 'which', 'corresponds', 'to', 'the', 'nozakibekki', 'hole', 'solution', 'of', 'the', 'complex', 'ginzburglandau', 'equation']] | [-0.20515680646366743, 0.11728503720285034, -0.11775000875883074, 0.03180545302814838, -0.0814872079764504, -0.13643038087154188, 0.018774833732161177, 0.2949437140094408, -0.30584591698933794, -0.24951406752589686, 0.07242708629367492, -0.2815318005271705, -0.23093914648473082, 0.153769729386858, 0.0017405031248927116, 0.024766197745794857, 0.030459715726684374, 0.055434528028547585, -0.0710791703846575, -0.16485504708982196, 0.3492236096883215, 0.0004999360731657011, 0.25593107862465353, -0.055272370554417014, 0.1272962133411363, -0.0794985217900655, 0.08903723133234195, 0.05901071560535445, -0.13534155419094246, 0.0029492762657892272, 0.22297219872048282, 0.01287804189115673, 0.22562332249931003, -0.41014400988547917, -0.29283942214875336, 0.07273216291431742, 0.1993671687858471, 0.15511177687945002, -0.012259383741990629, -0.33752286048319907, 0.030913931951600027, -0.16257324202143283, -0.20506887455437198, -0.09144014489212135, -0.03563213934112026, 0.04584808874291828, -0.2649903937862872, 0.15240846421704235, 0.04916880877635228, -0.049977814531828986, -0.09851116937843252, 0.020643105456908513, -0.10406508129538901, 0.04318062942727548, -0.011166558004859611, 0.02824559792629387, 0.10868753049051366, -0.11981052432366344, -0.06544265800705516, 0.36758843212422115, -0.08178078666391098, -0.23617760429764728, 0.14408818073710988, -0.2029589891703014, -0.04896322679874229, 0.17156836077436266, 0.1452993143024484, 0.12676676686191146, -0.15839639388120183, 0.10716998176545771, -0.020857739380100764, 0.2290403628402743, 0.027794004967772817, -0.024808184019323574, 0.1998949991202498, 0.1962183146142816, 0.061497562015092516, 0.17326674900853625, -0.04039695955453867, -0.2011682383845145, -0.29017737238522034, -0.11889213442533131, -0.18549309879631162, 0.08603687099102571, -0.15554470898575115, -0.19955306917608504, 0.40344946081918404, 0.13629262043858867, 0.1910944748894278, -0.04778626041223172, 0.21936560370566616, 0.22776291873979282, 0.013844718573143682, 0.03757460038696629, 0.23879905380533042, 0.15424612183572659, 0.12594762074772314, -0.2865957131059504, 0.0031320056597511454, 0.10032544867416103] |
708.1361 | Stationary photon-atom entanglement and flow equation | Stationary photon-atom entanglement is discussed by applying the method of
flow equation to the Jaynes-Cummings model. A nonlocal continuous unitary
transformation is explicitly constructed and the associated positive
operator-valued measures for the photons and atom are obtained. Then, flow of
the entanglement entropy is analyzed. A comment is also made on implementing
the unitary operation in the method of flow equation. This method may offer a
new strategy for quantum-state engineering.
| quant-ph cond-mat.other | stationary photonatom entanglement is discussed by applying the method of flow equation to the jaynescummings model a nonlocal continuous unitary transformation is explicitly constructed and the associated positive operatorvalued measures for the photons and atom are obtained then flow of the entanglement entropy is analyzed a comment is also made on implementing the unitary operation in the method of flow equation this method may offer a new strategy for quantumstate engineering | [['stationary', 'photonatom', 'entanglement', 'is', 'discussed', 'by', 'applying', 'the', 'method', 'of', 'flow', 'equation', 'to', 'the', 'jaynescummings', 'model', 'a', 'nonlocal', 'continuous', 'unitary', 'transformation', 'is', 'explicitly', 'constructed', 'and', 'the', 'associated', 'positive', 'operatorvalued', 'measures', 'for', 'the', 'photons', 'and', 'atom', 'are', 'obtained', 'then', 'flow', 'of', 'the', 'entanglement', 'entropy', 'is', 'analyzed', 'a', 'comment', 'is', 'also', 'made', 'on', 'implementing', 'the', 'unitary', 'operation', 'in', 'the', 'method', 'of', 'flow', 'equation', 'this', 'method', 'may', 'offer', 'a', 'new', 'strategy', 'for', 'quantumstate', 'engineering']] | [-0.10213195101003832, 0.149931099515041, -0.12259331481977248, 0.04636219096481538, -0.01278372701834625, -0.21110408239617523, 0.019515332188719595, 0.3734085447561573, -0.2614805897514165, -0.1924563767913152, 0.07028979055655622, -0.27173028024516893, -0.13700816436657604, 0.2385656199791849, -0.029955984880282005, 0.1371207809613519, 0.0729634796570934, 0.025206555809143563, -0.09567278656373981, -0.21514025390226865, 0.33582022237840675, 0.035899743529587566, 0.3184067058626195, 0.06711001552536454, 0.15851446932417826, -0.002189963927404778, -0.05326889611249396, -0.004260823110931776, -0.10411203994979741, 0.12312561143550392, 0.21361812705856184, 0.1318165378081022, 0.26101013412043245, -0.3848878033983875, -0.24400959098318092, 0.09308124082589286, 0.09092207428094157, 0.16225043722939952, -0.05191588491811351, -0.34041671698886744, 0.0035192330866317513, -0.18182406106858817, -0.14793380430545394, -0.12717912451062405, 0.002985096208646264, -0.016850394711659198, -0.2834332060908348, 0.09263066370932764, 0.06432232787360398, 0.02097932020740085, -0.04562281194785741, -0.009011760937758314, -0.019949109070527722, 0.07734584930995611, -0.024073701392872338, 0.013585791934583284, 0.1421824428974323, -0.08870269700517537, -0.1174145344403756, 0.3473205287796511, -0.071274594098828, -0.2570670422586337, 0.10612954855175086, -0.07371055793253259, -0.09258761106741051, 0.07844803183877343, 0.12368435185061584, 0.1171733051092482, -0.19782498720246303, 0.09446015338000224, -0.040607821609510084, 0.12402978741472036, 0.05711701945860831, 0.01730016848518395, 0.13653123577479537, 0.11718176315787812, 0.08125365890142783, 0.2125032073752561, -0.007653625371282212, -0.13750310701934595, -0.33956932793305794, -0.18973801822834452, -0.23874319626779203, 0.07274584041934617, -0.08239415660459536, -0.11659009612991776, 0.41161271260762716, 0.12011714839265013, 0.12752562853127297, -0.014445143023794385, 0.27619098711916257, 0.21281412064137173, 0.00299199494782468, 0.05649601435944648, 0.2268302180135334, 0.17526838341137577, 0.09898293041296198, -0.27295746858326825, 0.026906216318692854, 0.138821664413857] |
708.1362 | Physical limits of inference | I show that physical devices that perform observation, prediction, or
recollection share an underlying mathematical structure. I call devices with
that structure "inference devices". I present a set of existence and
impossibility results concerning inference devices. These results hold
independent of the precise physical laws governing our universe. In a limited
sense, the impossibility results establish that Laplace was wrong to claim that
even in a classical, non-chaotic universe the future can be unerringly
predicted, given sufficient knowledge of the present. Alternatively, these
impossibility results can be viewed as a non-quantum mechanical "uncertainty
principle". Next I explore the close connections between the mathematics of
inference devices and of Turing Machines. In particular, the impossibility
results for inference devices are similar to the Halting theorem for TM's.
Furthermore, one can define an analog of Universal TM's (UTM's) for inference
devices. I call those analogs "strong inference devices". I use strong
inference devices to define the "inference complexity" of an inference task,
which is the analog of the Kolmogorov complexity of computing a string. However
no universe can contain more than one strong inference device. So whereas the
Kolmogorov complexity of a string is arbitrary up to specification of the UTM,
there is no such arbitrariness in the inference complexity of an inference
task. I end by discussing the philosophical implications of these results,
e.g., for whether the universe "is" a computer.
| cond-mat.stat-mech cs.CC cs.IT gr-qc math.IT | i show that physical devices that perform observation prediction or recollection share an underlying mathematical structure i call devices with that structure inference devices i present a set of existence and impossibility results concerning inference devices these results hold independent of the precise physical laws governing our universe in a limited sense the impossibility results establish that laplace was wrong to claim that even in a classical nonchaotic universe the future can be unerringly predicted given sufficient knowledge of the present alternatively these impossibility results can be viewed as a nonquantum mechanical uncertainty principle next i explore the close connections between the mathematics of inference devices and of turing machines in particular the impossibility results for inference devices are similar to the halting theorem for tms furthermore one can define an analog of universal tms utms for inference devices i call those analogs strong inference devices i use strong inference devices to define the inference complexity of an inference task which is the analog of the kolmogorov complexity of computing a string however no universe can contain more than one strong inference device so whereas the kolmogorov complexity of a string is arbitrary up to specification of the utm there is no such arbitrariness in the inference complexity of an inference task i end by discussing the philosophical implications of these results eg for whether the universe is a computer | [['i', 'show', 'that', 'physical', 'devices', 'that', 'perform', 'observation', 'prediction', 'or', 'recollection', 'share', 'an', 'underlying', 'mathematical', 'structure', 'i', 'call', 'devices', 'with', 'that', 'structure', 'inference', 'devices', 'i', 'present', 'a', 'set', 'of', 'existence', 'and', 'impossibility', 'results', 'concerning', 'inference', 'devices', 'these', 'results', 'hold', 'independent', 'of', 'the', 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708.1363 | On Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local
Non-Archimedean Field | We relate the partition-type parametrization of rational (arithmetic)
nilpotent adjoint orbits of the split classical groups $SL_n$ and $Sp_{2n}$
over local non-Archimedean fields with a parametrization, introduced by
DeBacker in 2002, which uses the associated Bruhat-Tits building to relate the
question to one over the residue field.
| math.RT | we relate the partitiontype parametrization of rational arithmetic nilpotent adjoint orbits of the split classical groups sl_n and sp_2n over local nonarchimedean fields with a parametrization introduced by debacker in 2002 which uses the associated bruhattits building to relate the question to one over the residue field | [['we', 'relate', 'the', 'partitiontype', 'parametrization', 'of', 'rational', 'arithmetic', 'nilpotent', 'adjoint', 'orbits', 'of', 'the', 'split', 'classical', 'groups', 'sl_n', 'and', 'sp_2n', 'over', 'local', 'nonarchimedean', 'fields', 'with', 'a', 'parametrization', 'introduced', 'by', 'debacker', 'in', '2002', 'which', 'uses', 'the', 'associated', 'bruhattits', 'building', 'to', 'relate', 'the', 'question', 'to', 'one', 'over', 'the', 'residue', 'field']] | [-0.16915877574579197, 0.058861995749968164, -0.1600790890131859, 0.06867794553808709, -0.12767446423543893, -0.09304363275580901, -0.0232201759366596, 0.26581575341047126, -0.34163144952617586, -0.22439052521231326, 0.03583214083745917, -0.16115992936365148, -0.14109378892611316, 0.23861974188463486, -0.16601961773840038, -0.049588131302214684, -0.045713225260693977, 0.12299342579555084, -0.0738774535166932, -0.36719332821667194, 0.36704533412418466, -0.03051291045205212, 0.1812872290611267, -0.03326929844123252, 0.1458755294257339, 0.11422631796449423, -0.06994643987731096, -0.08315751012513771, -0.1366322045288782, 0.1648690496036347, 0.32513530005482916, 0.05337708610843154, 0.1926349421982911, -0.38827737991480116, -0.14382100353968588, 0.20418948913983842, 0.1143933645092902, 0.007112335104079164, 0.02099620369560224, -0.27937927360131226, 0.09931085896777346, -0.1883323374600645, -0.178352042626431, -0.06771173433182721, 0.030879007912478707, 0.03018577632672609, -0.2265864216445133, -0.03354758953556736, 0.06016955018647887, 0.16465523268314117, -0.08373693349038033, -0.10849530477122592, -0.02735044382651277, 0.06187368403783346, -0.0015909807716912412, 0.07589942815297461, 0.13603158095019294, -0.06931083025212617, -0.14656263516542126, 0.3606432768258643, -0.07020444569594049, -0.16015239836192352, 0.13636682824568547, -0.1358622502872443, -0.15349886263225307, 0.1069334687453328, 0.0940960222419272, 0.11652225897984302, -0.008617992711035496, 0.22559677753869958, -0.12892491705319348, 0.01814243055018101, 0.15723951305559974, -0.07036455581955453, 0.15078726290982772, 0.002598175422308293, 0.0681959558476476, 0.07957592985018137, 0.05906584581355267, -0.10300133969793294, -0.310606047788516, -0.1632706608345851, -0.06341049083052798, 0.1238040413826387, -0.08815836458574693, -0.1680509798436802, 0.47295578489912316, 0.10746790813851824, 0.18323937354317094, 0.1303428571616755, 0.199321152587877, 0.04369916057491556, 0.11615230697900691, 0.05643782496670301, 0.08982336239770372, 0.32566380972894743, -0.08556960995229794, -0.17395859211683273, -0.07408059993758798, 0.2538882095089301] |
708.1364 | Towards More Precise Survey Photometry for PanSTARRS and LSST: Measuring
Directly the Optical Transmission Spectrum of the Atmosphere | Motivated by the recognition that variation in the optical transmission of
the atmosphere is probably the main limitation to the precision of ground-based
CCD measurements of celestial fluxes, we review the physical processes that
attenuate the passage of light through the Earth's atmosphere. The next
generation of astronomical surveys, such as PanSTARRS and LSST, will greatly
benefit from dedicated apparatus to obtain atmospheric transmission data that
can be associated with each survey image. We review and compare various
approaches to this measurement problem, including photometry, spectroscopy, and
LIDAR. In conjunction with careful measurements of instrumental throughput,
atmospheric transmission measurements should allow next-generation imaging
surveys to produce photometry of unprecedented precision. Our primary concerns
are the real-time determination of aerosol scattering and absorption by water
along the line of sight, both of which can vary over the course of a night's
observations.
| astro-ph | motivated by the recognition that variation in the optical transmission of the atmosphere is probably the main limitation to the precision of groundbased ccd measurements of celestial fluxes we review the physical processes that attenuate the passage of light through the earths atmosphere the next generation of astronomical surveys such as panstarrs and lsst will greatly benefit from dedicated apparatus to obtain atmospheric transmission data that can be associated with each survey image we review and compare various approaches to this measurement problem including photometry spectroscopy and lidar in conjunction with careful measurements of instrumental throughput atmospheric transmission measurements should allow nextgeneration imaging surveys to produce photometry of unprecedented precision our primary concerns are the realtime determination of aerosol scattering and absorption by water along the line of sight both of which can vary over the course of a nights observations | [['motivated', 'by', 'the', 'recognition', 'that', 'variation', 'in', 'the', 'optical', 'transmission', 'of', 'the', 'atmosphere', 'is', 'probably', 'the', 'main', 'limitation', 'to', 'the', 'precision', 'of', 'groundbased', 'ccd', 'measurements', 'of', 'celestial', 'fluxes', 'we', 'review', 'the', 'physical', 'processes', 'that', 'attenuate', 'the', 'passage', 'of', 'light', 'through', 'the', 'earths', 'atmosphere', 'the', 'next', 'generation', 'of', 'astronomical', 'surveys', 'such', 'as', 'panstarrs', 'and', 'lsst', 'will', 'greatly', 'benefit', 'from', 'dedicated', 'apparatus', 'to', 'obtain', 'atmospheric', 'transmission', 'data', 'that', 'can', 'be', 'associated', 'with', 'each', 'survey', 'image', 'we', 'review', 'and', 'compare', 'various', 'approaches', 'to', 'this', 'measurement', 'problem', 'including', 'photometry', 'spectroscopy', 'and', 'lidar', 'in', 'conjunction', 'with', 'careful', 'measurements', 'of', 'instrumental', 'throughput', 'atmospheric', 'transmission', 'measurements', 'should', 'allow', 'nextgeneration', 'imaging', 'surveys', 'to', 'produce', 'photometry', 'of', 'unprecedented', 'precision', 'our', 'primary', 'concerns', 'are', 'the', 'realtime', 'determination', 'of', 'aerosol', 'scattering', 'and', 'absorption', 'by', 'water', 'along', 'the', 'line', 'of', 'sight', 'both', 'of', 'which', 'can', 'vary', 'over', 'the', 'course', 'of', 'a', 'nights', 'observations']] | [-0.08100406568933358, 0.12218295180417121, -0.06211024426346552, -0.012434728205838103, -0.10388279740586348, -0.08181127121198116, 0.04710554245013929, 0.4008591957951744, -0.25890579353522586, -0.3627223262686368, 0.16297187491201182, -0.33471442720727296, -0.08130729817108297, 0.2599333759450109, -0.0953242020608844, 0.06571475445979823, 0.16388837018558847, -0.07833201944966742, -0.028403587513834448, -0.24462380327683947, 0.2429103130682748, 0.13777076545772507, 0.20745459640174047, 0.03577908115950248, 0.07305395649498368, 0.029359902413760092, -0.15219285810062438, -0.03094592907115923, -0.1250621139307499, 0.1178714848042578, 0.2841755312517391, 0.18278859948395942, 0.18408790243961287, -0.41556999443349896, -0.2752186823074858, 0.06397382955641505, 0.14672109417135146, 0.049182461550730076, -0.01742084958782116, -0.27641248111183764, -0.01429225726330534, -0.12213704706638628, -0.14570128463261517, -0.01854993864986385, -0.041483085916265316, 0.07931197584600103, -0.23940413892401238, 0.014636102925114174, -0.047489708411698854, 0.1409234859524889, -0.12195119457583584, -0.0939313456257607, -0.016735800187737543, 0.16114922794876685, 0.0049483655730645495, 0.023555622743966935, 0.1429060904126687, -0.1522904835387087, -0.07160474723931534, 0.4184097074606317, -0.1321078634124038, -0.04192141065677853, 0.15135851791041824, -0.19432144631559017, -0.14568693468888813, 0.1615304938700803, 0.19873613119455621, 0.07454144813992242, -0.19371785304396816, -0.0204899614059254, 0.013369286167006014, 0.1758242809553862, 0.07680965947145794, 0.09564213420046454, 0.27428431045726365, 0.16334884878287606, 0.07426739210619572, 0.06143726105223813, -0.28892362087094786, 0.0008633244610952993, -0.25031605215597874, -0.135564390221505, -0.14373131021394903, 0.06376251858718535, -0.058806661651420226, -0.0950737686840989, 0.37643878784440193, 0.23707280539517814, 0.14476470390486643, 0.012311468345066863, 0.3990013744972699, 0.05477167260816572, 0.09779992785489729, -0.05032836342005865, 0.31270457795864065, 0.12136344943980559, 0.15088639142380197, -0.22487500445844594, 0.06678136918158765, -0.03680063457499053] |
708.1365 | Submillimeter arcsecond-resolution mapping of the highly collimated
protostellar jet HH 211 | We have mapped the protostellar jet HH 211 in 342 GHz continuum, SiO
($J=8-7$), and CO ($J=3-2$) emission at $\sim$ \arcs{1} resolution with the
Submillimeter Array (SMA). Thermal dust emission is seen in continuum at the
center of the jet, tracing an envelope and a possible optically thick compact
disk (with a size $<$ 130 AU) around the protostar. A knotty jet is seen in CO
and SiO as in \H2{}, but extending closer to the protostar. It consists of a
chain of knots on each side of the protostar, with an interknot spacing of
$\sim$ \arcs{2}$-$\arcs{3} or 600$-$900 AU and the innermost pair of knots at
only $\sim$ \arcsa{1}{7} or 535 AU from the protostar. These knots likely trace
unresolved internal (bow) shocks (i.e., working surfaces) in the jet, with a
velocity range up to $\sim$ 25 \vkm{}. The two-sided mass-loss rate of the jet
is estimated to be $\sim (0.7-2.8)\times 10^{-6}$ \solarmass{} yr$^{-1}$. The
jet is episodic, precessing, and bending. A velocity gradient is seen
consistently across two bright SiO knots (BK3 and RK2) perpendicular to the jet
axis, with $\sim$ 1.5$\pm$0.8 \vkm{} at $\sim$ 30$\pm$15 AU, suggesting a
presence of a jet rotation. The launching radius of the jet, derived from the
potential jet rotation, is $\sim$ 0.15$-$0.06 AU in the inner disk.
| astro-ph | we have mapped the protostellar jet hh 211 in 342 ghz continuum sio j87 and co j32 emission at sim arcs1 resolution with the submillimeter array sma thermal dust emission is seen in continuum at the center of the jet tracing an envelope and a possible optically thick compact disk with a size 130 au around the protostar a knotty jet is seen in co and sio as in h2 but extending closer to the protostar it consists of a chain of knots on each side of the protostar with an interknot spacing of sim arcs2arcs3 or 600900 au and the innermost pair of knots at only sim arcsa17 or 535 au from the protostar these knots likely trace unresolved internal bow shocks ie working surfaces in the jet with a velocity range up to sim 25 vkm the twosided massloss rate of the jet is estimated to be sim 0728times 106 solarmass yr1 the jet is episodic precessing and bending a velocity gradient is seen consistently across two bright sio knots bk3 and rk2 perpendicular to the jet axis with sim 15pm08 vkm at sim 30pm15 au suggesting a presence of a jet rotation the launching radius of the jet derived from the potential jet rotation is sim 015006 au in the inner disk | [['we', 'have', 'mapped', 'the', 'protostellar', 'jet', 'hh', '211', 'in', '342', 'ghz', 'continuum', 'sio', 'j87', 'and', 'co', 'j32', 'emission', 'at', 'sim', 'arcs1', 'resolution', 'with', 'the', 'submillimeter', 'array', 'sma', 'thermal', 'dust', 'emission', 'is', 'seen', 'in', 'continuum', 'at', 'the', 'center', 'of', 'the', 'jet', 'tracing', 'an', 'envelope', 'and', 'a', 'possible', 'optically', 'thick', 'compact', 'disk', 'with', 'a', 'size', '130', 'au', 'around', 'the', 'protostar', 'a', 'knotty', 'jet', 'is', 'seen', 'in', 'co', 'and', 'sio', 'as', 'in', 'h2', 'but', 'extending', 'closer', 'to', 'the', 'protostar', 'it', 'consists', 'of', 'a', 'chain', 'of', 'knots', 'on', 'each', 'side', 'of', 'the', 'protostar', 'with', 'an', 'interknot', 'spacing', 'of', 'sim', 'arcs2arcs3', 'or', '600900', 'au', 'and', 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708.1366 | X-ray edge problem of graphene | The X-ray edge problem of graphene with the Dirac fermion spectrum is
studied. At half-filling the linear density of states suppresses the singular
response of the Fermi liquid, while away from half-filling the singular
features of the Fermi liquid reappear. The crossover behavior as a function of
the Fermi energy is examined in detail. The exponent of the power-law
absorption rate depends both on the intra- and inter-valley scattering, and it
changes as a function of the Fermi energy, which may be tested experimentally.
| cond-mat.str-el | the xray edge problem of graphene with the dirac fermion spectrum is studied at halffilling the linear density of states suppresses the singular response of the fermi liquid while away from halffilling the singular features of the fermi liquid reappear the crossover behavior as a function of the fermi energy is examined in detail the exponent of the powerlaw absorption rate depends both on the intra and intervalley scattering and it changes as a function of the fermi energy which may be tested experimentally | [['the', 'xray', 'edge', 'problem', 'of', 'graphene', 'with', 'the', 'dirac', 'fermion', 'spectrum', 'is', 'studied', 'at', 'halffilling', 'the', 'linear', 'density', 'of', 'states', 'suppresses', 'the', 'singular', 'response', 'of', 'the', 'fermi', 'liquid', 'while', 'away', 'from', 'halffilling', 'the', 'singular', 'features', 'of', 'the', 'fermi', 'liquid', 'reappear', 'the', 'crossover', 'behavior', 'as', 'a', 'function', 'of', 'the', 'fermi', 'energy', 'is', 'examined', 'in', 'detail', 'the', 'exponent', 'of', 'the', 'powerlaw', 'absorption', 'rate', 'depends', 'both', 'on', 'the', 'intra', 'and', 'intervalley', 'scattering', 'and', 'it', 'changes', 'as', 'a', 'function', 'of', 'the', 'fermi', 'energy', 'which', 'may', 'be', 'tested', 'experimentally']] | [-0.15998575411781313, 0.21939755236685632, -0.09693247259461454, 0.09623537339281202, 0.0018751332751153747, -0.1673406264633827, 0.08618148340056428, 0.3013451434228392, -0.2965249646942885, -0.2454700669262647, 0.03472769105601834, -0.3848925812968186, -0.13475455263895647, 0.14096900011368452, 0.08846060032235636, 0.0555949097477077, -0.03745137785638993, 0.005416406085714698, -0.13443326003782982, -0.21090393433613436, 0.35757938618328244, 0.0812747487410282, 0.30197000694239423, 0.14586707030996746, 0.05246058916340449, 0.03165886652035018, 0.08313134414077337, 0.0009054071602544614, -0.09881339167588435, 0.012771522116357422, 0.25618839649749653, -0.09746619644907437, 0.19782787833606735, -0.3887522961234763, -0.23190381998817125, 0.019775089868787853, 0.12867244381812357, 0.07212144534596951, -0.004473643539573199, -0.3000632674111763, -0.016527231854741416, -0.15078930685385353, -0.19645036348984354, -0.007812388967500911, -0.010713680991015974, 0.011106129864596628, -0.18271565140180646, 0.1541646219612587, 0.007783225166522676, 0.028449315156432845, -0.11683994233386502, -0.10804742090736649, -0.11399283475752565, 0.0723980206197926, 0.08911480269550036, 0.029519136989533547, 0.2023416843398341, -0.1914986368002636, -0.042122219068308674, 0.38694273228646214, -0.08010766983387016, -0.1149788012151562, 0.16998451323958025, -0.20539958486776977, -0.04176304275668891, 0.21761656532596266, 0.10457004169889149, 0.04581603884608263, -0.08750772789963299, 0.1389932992710133, -0.0635632320176921, 0.14868885468846807, 0.04999489568927813, 0.0664659580049504, 0.24634586545150905, 0.18488564777016153, 0.06899634454887182, 0.14081331518606194, -0.1991424960599813, -0.0432300268037666, -0.25862423369211945, -0.10831204891603972, -0.28087652150341974, 0.03062534032921706, -0.05134076823534477, -0.21055867857761595, 0.47222628580112497, 0.07527751251195912, 0.23484602385377956, 0.006948524244805975, 0.24227779305684158, 0.19942485472087615, 0.04521002045588657, 0.06986946926917881, 0.272758007271304, 0.05669690814379248, 0.09249561890638211, -0.32671684464384315, 0.05902098230130616, 0.027415128142040755] |
708.1367 | A Closure Theory for Non-linear Evolution of Cosmological Power Spectra | We apply a non-linear statistical method in turbulence to the cosmological
perturbation theory and derive a closed set of evolution equations for matter
power spectra. The resultant closure equations consistently recover the
one-loop results of standard perturbation theory and beyond that, it is still
capable of treating the non-linear evolution of matter power spectra. We find
the exact integral expressions for the solutions of closure equations. These
analytic expressions coincide with the renormalized one-loop results presented
by Crocce & Scoccimarro (2006,2007). By constructing the non-linear propagator,
we analytically evaluate the non-linear matter power spectra based on the
first-order Born approximation of the integral expressions and compare it with
those of the renormalized perturbation theory.
| astro-ph | we apply a nonlinear statistical method in turbulence to the cosmological perturbation theory and derive a closed set of evolution equations for matter power spectra the resultant closure equations consistently recover the oneloop results of standard perturbation theory and beyond that it is still capable of treating the nonlinear evolution of matter power spectra we find the exact integral expressions for the solutions of closure equations these analytic expressions coincide with the renormalized oneloop results presented by crocce scoccimarro 20062007 by constructing the nonlinear propagator we analytically evaluate the nonlinear matter power spectra based on the firstorder born approximation of the integral expressions and compare it with those of the renormalized perturbation theory | [['we', 'apply', 'a', 'nonlinear', 'statistical', 'method', 'in', 'turbulence', 'to', 'the', 'cosmological', 'perturbation', 'theory', 'and', 'derive', 'a', 'closed', 'set', 'of', 'evolution', 'equations', 'for', 'matter', 'power', 'spectra', 'the', 'resultant', 'closure', 'equations', 'consistently', 'recover', 'the', 'oneloop', 'results', 'of', 'standard', 'perturbation', 'theory', 'and', 'beyond', 'that', 'it', 'is', 'still', 'capable', 'of', 'treating', 'the', 'nonlinear', 'evolution', 'of', 'matter', 'power', 'spectra', 'we', 'find', 'the', 'exact', 'integral', 'expressions', 'for', 'the', 'solutions', 'of', 'closure', 'equations', 'these', 'analytic', 'expressions', 'coincide', 'with', 'the', 'renormalized', 'oneloop', 'results', 'presented', 'by', 'crocce', 'scoccimarro', '20062007', 'by', 'constructing', 'the', 'nonlinear', 'propagator', 'we', 'analytically', 'evaluate', 'the', 'nonlinear', 'matter', 'power', 'spectra', 'based', 'on', 'the', 'firstorder', 'born', 'approximation', 'of', 'the', 'integral', 'expressions', 'and', 'compare', 'it', 'with', 'those', 'of', 'the', 'renormalized', 'perturbation', 'theory']] | [-0.10135878833109695, 0.06515723731846804, -0.1306414471226291, 0.13763936574517263, -0.056947095352595886, -0.0804170297450526, -0.019772520279553018, 0.26628538006834224, -0.22050820602376048, -0.26931682261597134, 0.056356029530401974, -0.3028056025618391, -0.1855371059825133, 0.19405016806017839, 0.05011671199669353, 0.0901607600395131, 0.025850898858192747, 0.03330688178539276, -0.1079475586323183, -0.21561611350728777, 0.33435593648459266, 0.037973271518022614, 0.2340557270856426, 0.010944615736339999, 0.11322456658446947, 0.010789401005063436, -0.07581976643738757, 0.03319741257227364, -0.177974224274278, 0.08976326168121243, 0.23183450290306876, 0.0878451288043134, 0.20030799276500413, -0.4455397484609775, -0.21869686302786642, 0.019872163574878886, 0.12429976267987385, 0.13375857776541888, -0.022966040402395336, -0.2663080081986511, 0.08378380654066538, -0.20216104881096203, -0.1818314449062192, -0.16017088114770245, -0.016985427192618363, 0.027371383781042116, -0.2625525913456768, 0.11092244124913637, -0.005340861049439528, -0.005587373798366933, -0.1338006787628463, -0.07938709631727069, -0.000922026032318188, 0.07437481905490292, 0.028493996429975934, -0.040575620775992895, 0.08663161281905543, -0.17227041849651964, -0.06803547104705224, 0.3883241008085289, -0.15760285980109356, -0.2033250251768437, 0.08600677219549177, -0.176927802457878, -0.11969199743682304, 0.15598446733227608, 0.11565586352160415, 0.13999551249486683, -0.18076752726631487, 0.1738995523176535, -0.012252476272395754, 0.11955050047717791, 0.0585038094591778, -0.006482003421514435, 0.16931496659578113, 0.08779910467853523, -0.0105821544189105, 0.08897312245933356, -0.022119189392099472, -0.1544606888221692, -0.36941835182859045, -0.0501751061394992, -0.13520734034379764, 0.029850474484594523, -0.12347241425415423, -0.2034250313201837, 0.40272387987480757, 0.15474931191059604, 0.10987878222001997, 0.1481384909485129, 0.3383038212108401, 0.2467629562320849, 0.012680201280235717, 0.09171685071835146, 0.2696161118492616, 0.2220653592020611, 0.07443241699623455, -0.28510112582862507, -0.039061524534383704, 0.14601328433285246] |
708.1368 | Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime
uniqueness | We study spacetimes with a closed conformal Killing-Yano tensor. It is shown
that the D-dimensional Kerr-NUT-de Sitter spacetime constructed by Chen-Lu-Pope
is the only spacetime admitting a rank-2 closed conformal Killing-Yano tensor
with a certain symmetry.
| hep-th | we study spacetimes with a closed conformal killingyano tensor it is shown that the ddimensional kerrnutde sitter spacetime constructed by chenlupope is the only spacetime admitting a rank2 closed conformal killingyano tensor with a certain symmetry | [['we', 'study', 'spacetimes', 'with', 'a', 'closed', 'conformal', 'killingyano', 'tensor', 'it', 'is', 'shown', 'that', 'the', 'ddimensional', 'kerrnutde', 'sitter', 'spacetime', 'constructed', 'by', 'chenlupope', 'is', 'the', 'only', 'spacetime', 'admitting', 'a', 'rank2', 'closed', 'conformal', 'killingyano', 'tensor', 'with', 'a', 'certain', 'symmetry']] | [-0.2634238460733156, 0.20664459935256413, -0.05699268143091883, 0.049112844606861474, -0.21828265214072806, -0.22389933478885463, -0.24209398786936487, 0.3222815314706947, -0.12986535046781814, -0.08729329683950969, 0.11509424864447543, -0.24147211941225188, -0.24742715457188233, 0.03366221285292081, -0.02502323923898595, 0.012592457926699094, -0.010451467335224151, 0.15383019926292554, -0.17271746901928314, -0.29109568734254154, 0.5005392634442875, 0.0436923957030688, 0.34626919414315904, -0.034990349119263034, 0.2720126887517316, -0.044698132082287755, 0.030982576310634613, 0.09640498225178037, -0.14989477218498776, 0.07203379582081522, 0.29734139116480945, 0.13173987817551408, 0.090763959767563, -0.3760615610650608, -0.23847361515675272, 0.11395519601979426, 0.10848656070551702, 0.14394735781741994, -0.040974122651719624, -0.3911614516483886, 0.10754085948158587, -0.16211788526603155, -0.21461574130558542, -0.1625492994274412, 0.029434126189776828, -0.24503795601028416, -0.21235156882155154, 0.07806754101599966, 0.12955275252461435, 0.026223086159942406, -0.14962502063385077, 0.027604811705116715, -0.14347991895462786, -0.03236547198944858, 0.13684898375400475, 0.07003113759814629, 0.09825514492778374, -0.05603254746113505, -0.13228121788374014, 0.344593132180827, -0.08450006271845528, -0.4330170175858906, -0.000784814783505031, -0.17788661746308207, -0.1323622575029731, 0.08887260336694973, 0.037374885220612795, 0.21960474840764488, -0.1587791288703946, 0.3232450583417501, -0.11572692891848939, 0.03623279609850475, 0.1910057125347001, -0.024422357324510813, 0.2679524142295122, -0.022273438583527292, 0.06427058673330716, 0.22120728301150458, 0.09519916038428033, -0.10339508425677195, -0.4785285521830831, -0.22759727175746644, -0.15536563832845007, 0.2520727175154856, -0.2819183365308813, -0.24041173128394544, 0.34697971418499945, -0.0804219292385304, 0.0680293046769553, 0.08506734581398112, 0.1807745400284018, 0.04849584395331996, 0.12340155781379768, 0.20793891195207834, 0.22337256286825452, 0.26954207963842364, 0.03316709789713579, -0.1477883839065076, -0.2161069761163422, 0.1977288621876921] |
708.1369 | The effect of Fe atoms on the adsorption of a W atom on W(100) surface | We report a first-principles calculation that models the effect of iron (Fe)
atoms on the adsorption of a tungsten (W) atom on W(100) surfaces. The
adsorption of a W atom on a clean W(100) surface is compared with that of a W
atom on a W(100) surface covered with a monolayer of Fe atoms. The total energy
of the system is computed as the function of the height of the W adatom. Our
result shows that the W atom first adsorbs on top of the Fe monolayer. Then the
W atom can replace one of the Fe atoms through a path with a moderate energy
barrier and reduce its energy further. This intermediate site makes the
adsorption (and desorption) of W atoms a two-step process in the presence of Fe
atoms and lowers the overall adsorption energy by nearly 2.4 eV. The Fe atoms
also provide a surface for W atoms to adsorb facilitating the diffusion of W
atoms. The combination of these two effects result in a much more efficient
desorption and diffusion of W atoms in the presence of Fe atoms. Our result
provides a fundamental mechanism that can explain the activated sintering of
tungsten by Fe atoms.
| cond-mat.mtrl-sci | we report a firstprinciples calculation that models the effect of iron fe atoms on the adsorption of a tungsten w atom on w100 surfaces the adsorption of a w atom on a clean w100 surface is compared with that of a w atom on a w100 surface covered with a monolayer of fe atoms the total energy of the system is computed as the function of the height of the w adatom our result shows that the w atom first adsorbs on top of the fe monolayer then the w atom can replace one of the fe atoms through a path with a moderate energy barrier and reduce its energy further this intermediate site makes the adsorption and desorption of w atoms a twostep process in the presence of fe atoms and lowers the overall adsorption energy by nearly 24 ev the fe atoms also provide a surface for w atoms to adsorb facilitating the diffusion of w atoms the combination of these two effects result in a much more efficient desorption and diffusion of w atoms in the presence of fe atoms our result provides a fundamental mechanism that can explain the activated sintering of tungsten by fe atoms | [['we', 'report', 'a', 'firstprinciples', 'calculation', 'that', 'models', 'the', 'effect', 'of', 'iron', 'fe', 'atoms', 'on', 'the', 'adsorption', 'of', 'a', 'tungsten', 'w', 'atom', 'on', 'w100', 'surfaces', 'the', 'adsorption', 'of', 'a', 'w', 'atom', 'on', 'a', 'clean', 'w100', 'surface', 'is', 'compared', 'with', 'that', 'of', 'a', 'w', 'atom', 'on', 'a', 'w100', 'surface', 'covered', 'with', 'a', 'monolayer', 'of', 'fe', 'atoms', 'the', 'total', 'energy', 'of', 'the', 'system', 'is', 'computed', 'as', 'the', 'function', 'of', 'the', 'height', 'of', 'the', 'w', 'adatom', 'our', 'result', 'shows', 'that', 'the', 'w', 'atom', 'first', 'adsorbs', 'on', 'top', 'of', 'the', 'fe', 'monolayer', 'then', 'the', 'w', 'atom', 'can', 'replace', 'one', 'of', 'the', 'fe', 'atoms', 'through', 'a', 'path', 'with', 'a', 'moderate', 'energy', 'barrier', 'and', 'reduce', 'its', 'energy', 'further', 'this', 'intermediate', 'site', 'makes', 'the', 'adsorption', 'and', 'desorption', 'of', 'w', 'atoms', 'a', 'twostep', 'process', 'in', 'the', 'presence', 'of', 'fe', 'atoms', 'and', 'lowers', 'the', 'overall', 'adsorption', 'energy', 'by', 'nearly', '24', 'ev', 'the', 'fe', 'atoms', 'also', 'provide', 'a', 'surface', 'for', 'w', 'atoms', 'to', 'adsorb', 'facilitating', 'the', 'diffusion', 'of', 'w', 'atoms', 'the', 'combination', 'of', 'these', 'two', 'effects', 'result', 'in', 'a', 'much', 'more', 'efficient', 'desorption', 'and', 'diffusion', 'of', 'w', 'atoms', 'in', 'the', 'presence', 'of', 'fe', 'atoms', 'our', 'result', 'provides', 'a', 'fundamental', 'mechanism', 'that', 'can', 'explain', 'the', 'activated', 'sintering', 'of', 'tungsten', 'by', 'fe', 'atoms']] | [-0.04536766114149941, 0.18701326072216035, 0.018394278683699666, -0.009512636848039619, 0.051635291489656086, -0.16926533583551645, 0.16862162170000375, 0.4168402241915464, -0.2531817236263305, -0.29217902877833696, -0.05911861283180769, -0.3397883939277381, -0.024844132567523047, 0.14208077751565726, 0.06364355841564247, -0.04997463889681967, 0.09059924743371084, -0.036637793553381925, -0.06830570414545946, -0.2593176842201501, 0.27094760281499475, 0.10413178788032383, 0.2455875915440265, 0.12514297168236227, 0.06390477674081922, -0.013673161178594455, 0.06657536904196604, -0.007523334583966062, -0.132410055744258, 0.17411123747937382, 0.175397868464006, -0.047819752090144906, 0.23241720080375672, -0.4619730798341334, -0.199470094878925, 0.01063747915206477, 0.10591996692121029, 0.15791975516593085, -0.08838939556131663, -0.23044644938781858, 0.010776088302955032, -0.12375339767779224, -0.08812341989483684, 0.025754656507633627, 0.035815806742757555, 0.04126097846659832, -0.25094074997119603, 0.040844870117580284, 0.08767729972023516, 0.0558950626978185, -0.08391528551524971, -0.14148615585116203, -0.14525120763108135, -0.01785953868413344, 0.00022714206468663178, 0.02849669485614868, 0.229545470981393, -0.06150966518704081, -0.07138040375662967, 0.4453005922306329, -0.13903349322616124, -0.11368476000498048, 0.2017597707908135, -0.13093023248948157, -0.057921856546308846, 0.20421930055134, 0.1034253398689907, 0.13126613512868063, -0.08907905232394114, 0.11723078241455369, -0.0468641244173341, 0.19909835536731407, 0.08586707203183323, 0.027037185258232056, 0.17006703078153806, 0.18718653033720328, 0.07275332463905215, 0.12668662688927726, -0.17766523854923436, 0.0034634046826977284, -0.26136312914080917, -0.3018574549164623, -0.23143344281357714, 0.07144263914437034, -0.07366806498466758, -0.1901077633164823, 0.35768611865118144, 0.06538738529197871, 0.22576390052679926, -0.0958683845656924, 0.2058267580694519, 0.09790871681470889, 0.0220824403478764, -0.014357239215169102, 0.22237059334293008, 0.16133196714217773, 0.08300901949056425, -0.27778850009897726, 0.10250577441882341, 0.06433850300963968] |
708.137 | Closure Relations for Electron-Positron Pair-Signatures in Gamma-Ray
Bursts | We present recipes to diagnose the fireball of gamma-ray bursts (GRBs) by
combining observations of electron-positron pair-signatures (the
pair-annihilation line and the cutoff energy due to the pair-creation process).
Our recipes are largely model-independent and extract information even from the
non-detection of either pair-signature. We evaluate physical quantities such as
the Lorentz factor, optical depth and pair-to-baryon ratio, only from the
observable quantities. In particular, we can test whether the prompt emission
of GRBs comes from the pair/baryonic photosphere or not. The future-coming
Gamma-Ray Large Area Space Telescope (GLAST) satellite will provide us with
good chances to use our recipes by detecting or non-detecting pair-signatures.
| astro-ph | we present recipes to diagnose the fireball of gammaray bursts grbs by combining observations of electronpositron pairsignatures the pairannihilation line and the cutoff energy due to the paircreation process our recipes are largely modelindependent and extract information even from the nondetection of either pairsignature we evaluate physical quantities such as the lorentz factor optical depth and pairtobaryon ratio only from the observable quantities in particular we can test whether the prompt emission of grbs comes from the pairbaryonic photosphere or not the futurecoming gammaray large area space telescope glast satellite will provide us with good chances to use our recipes by detecting or nondetecting pairsignatures | [['we', 'present', 'recipes', 'to', 'diagnose', 'the', 'fireball', 'of', 'gammaray', 'bursts', 'grbs', 'by', 'combining', 'observations', 'of', 'electronpositron', 'pairsignatures', 'the', 'pairannihilation', 'line', 'and', 'the', 'cutoff', 'energy', 'due', 'to', 'the', 'paircreation', 'process', 'our', 'recipes', 'are', 'largely', 'modelindependent', 'and', 'extract', 'information', 'even', 'from', 'the', 'nondetection', 'of', 'either', 'pairsignature', 'we', 'evaluate', 'physical', 'quantities', 'such', 'as', 'the', 'lorentz', 'factor', 'optical', 'depth', 'and', 'pairtobaryon', 'ratio', 'only', 'from', 'the', 'observable', 'quantities', 'in', 'particular', 'we', 'can', 'test', 'whether', 'the', 'prompt', 'emission', 'of', 'grbs', 'comes', 'from', 'the', 'pairbaryonic', 'photosphere', 'or', 'not', 'the', 'futurecoming', 'gammaray', 'large', 'area', 'space', 'telescope', 'glast', 'satellite', 'will', 'provide', 'us', 'with', 'good', 'chances', 'to', 'use', 'our', 'recipes', 'by', 'detecting', 'or', 'nondetecting', 'pairsignatures']] | [-0.023143874368432796, 0.15043794645015338, -0.06688995434987274, 0.1747428067529204, -0.13777852642603897, -0.0835932243116802, 0.08062294125792129, 0.41794556674707417, -0.19725910131114, -0.34714477691761775, 0.05901259477744161, -0.3064258663886876, -0.014952550021310648, 0.2528221838580764, -0.024547186421437397, 0.023338520965266108, 0.08313359341800514, -0.07621061892426254, -0.032222985875595245, -0.20609239386300546, 0.32658318369552336, 0.18225151293845188, 0.2222352700703072, 0.0612102243414318, 0.07369736601325749, -0.05616681483066217, -0.11164202840265, -0.04495740526225277, -0.12348462672753617, 0.07365838699442608, 0.2389008565758816, 0.18151979900971807, 0.13116080214203607, -0.41886080176842333, -0.23625595841293384, 0.15201747196378432, 0.12986392777582462, 0.051144977194266486, -0.006189770582649443, -0.31475943172670373, -0.01190919977509313, -0.1949499964224871, -0.13256166738015834, -0.03698977819559249, -0.005655981412138602, 0.03781952142169831, -0.20669358313516384, 0.06367889448360663, -0.007597118880684403, 0.00035820709955361154, -0.07364914261246797, -0.023791106130852543, 0.011059608666762484, 0.1128766247203028, 0.09413551817609307, 0.03874468153714193, 0.17981693208349322, -0.1754182836650418, -0.08190332116051154, 0.42477651981335846, -0.07620071339176385, -0.04483224934371508, 0.20551224598529363, -0.19718156543541512, -0.13590471254252462, 0.15294074415313927, 0.19070542814454647, 0.060778363456131156, -0.16838459582115062, 0.028222017094253028, 0.006273201271665819, 0.1961281685713641, 0.04555122104162971, 0.05832922092234396, 0.2871915545653213, 0.10741303778592158, 0.0037194733987703467, 0.10871827306997295, -0.21963261073511658, 0.032510439302029105, -0.33019084794766673, -0.10943082980858633, -0.1575260248136321, 0.13061044498765959, -0.08646139593261666, -0.10464244309784562, 0.3760180183723945, 0.16654310038670747, 0.22932341525970837, 0.038727057549744995, 0.32125394759379855, 0.09199945986237978, 0.0747970569375526, 0.08850754304516195, 0.3350991294860388, 0.05369314463395211, 0.08451855288009451, -0.18866538903276164, 0.09982945089877555, 0.026249007190191985] |
708.1371 | Electronic structures of CeRu$_2X_2$ ($X$ = Si, Ge) in the paramagnetic
phase studied by soft X-ray ARPES and hard X-ray photoelectron spectroscopy | Soft and hard X-ray photoelectron spectroscopy (PES) has been performed for
one of the heavy fermion system CeRu$_2$Si$_2$ and a $4f$-localized ferromagnet
CeRu$_2$Ge$_2$ in the paramagnetic phase. The three-dimensional band structures
and Fermi surface (FS) shapes of CeRu$_2$Si$_2$ have been determined by soft
X-ray $h\nu$-dependent angle resolved photoelectron spectroscopy (ARPES). The
differences in the Fermi surface topology and the non-$4f$ electronic
structures between CeRu$_2$Si$_2$ and CeRu$_2$Ge$_2$ are qualitatively
explained by the band-structure calculation for both $4f$ itinerant and
localized models, respectively. The Ce valences in CeRu$_2X_2$ ($X$ = Si, Ge)
at 20 K are quantitatively estimated by the single impurity Anderson model
calculation, where the Ce 3d hard X-ray core-level PES and Ce 3d X-ray
absorption spectra have shown stronger hybridization and signature for the
partial $4f$ contribution to the conduction electrons in CeRu$_2$Si$_2$.
| cond-mat.str-el cond-mat.mtrl-sci | soft and hard xray photoelectron spectroscopy pes has been performed for one of the heavy fermion system ceru_2si_2 and a 4flocalized ferromagnet ceru_2ge_2 in the paramagnetic phase the threedimensional band structures and fermi surface fs shapes of ceru_2si_2 have been determined by soft xray hnudependent angle resolved photoelectron spectroscopy arpes the differences in the fermi surface topology and the non4f electronic structures between ceru_2si_2 and ceru_2ge_2 are qualitatively explained by the bandstructure calculation for both 4f itinerant and localized models respectively the ce valences in ceru_2x_2 x si ge at 20 k are quantitatively estimated by the single impurity anderson model calculation where the ce 3d hard xray corelevel pes and ce 3d xray absorption spectra have shown stronger hybridization and signature for the partial 4f contribution to the conduction electrons in ceru_2si_2 | [['soft', 'and', 'hard', 'xray', 'photoelectron', 'spectroscopy', 'pes', 'has', 'been', 'performed', 'for', 'one', 'of', 'the', 'heavy', 'fermion', 'system', 'ceru_2si_2', 'and', 'a', '4flocalized', 'ferromagnet', 'ceru_2ge_2', 'in', 'the', 'paramagnetic', 'phase', 'the', 'threedimensional', 'band', 'structures', 'and', 'fermi', 'surface', 'fs', 'shapes', 'of', 'ceru_2si_2', 'have', 'been', 'determined', 'by', 'soft', 'xray', 'hnudependent', 'angle', 'resolved', 'photoelectron', 'spectroscopy', 'arpes', 'the', 'differences', 'in', 'the', 'fermi', 'surface', 'topology', 'and', 'the', 'non4f', 'electronic', 'structures', 'between', 'ceru_2si_2', 'and', 'ceru_2ge_2', 'are', 'qualitatively', 'explained', 'by', 'the', 'bandstructure', 'calculation', 'for', 'both', '4f', 'itinerant', 'and', 'localized', 'models', 'respectively', 'the', 'ce', 'valences', 'in', 'ceru_2x_2', 'x', 'si', 'ge', 'at', '20', 'k', 'are', 'quantitatively', 'estimated', 'by', 'the', 'single', 'impurity', 'anderson', 'model', 'calculation', 'where', 'the', 'ce', '3d', 'hard', 'xray', 'corelevel', 'pes', 'and', 'ce', '3d', 'xray', 'absorption', 'spectra', 'have', 'shown', 'stronger', 'hybridization', 'and', 'signature', 'for', 'the', 'partial', '4f', 'contribution', 'to', 'the', 'conduction', 'electrons', 'in', 'ceru_2si_2']] | [-0.07609745150882985, 0.18943582345020232, -0.029936246445593166, 0.13125638924099095, 0.0320012933193288, -0.1711352131930803, 0.0855824858551537, 0.4558678120814674, -0.262539878546253, -0.33941152949971476, -0.08188869108585274, -0.4233617213642679, -0.09154614794808696, 0.15743003710490233, 0.08961275282983236, 0.04717922924585113, 0.007101945263722281, -0.10974916119099133, -0.14756750479692549, -0.17262986915068715, 0.29162451215491697, 0.05825150433165117, 0.2516061993477147, 0.12022575878310861, -0.01793754640251662, 0.07186400272340815, 0.09543231852337952, 0.029249583847644763, -0.09530407599804604, 0.06830772549632615, 0.2838950841223849, -0.09734771120009988, 0.12314931419494701, -0.4437943127035625, -0.24495001512971032, -0.09672558845174829, 0.1218139555407908, 0.03270526194402317, -0.0632611430583771, -0.2681570936170385, 0.0518735572219071, -0.1327314540903326, -0.09092549160929529, -0.11108558802080788, -0.032876428297361524, -0.034811588517558854, -0.17558322978887972, 0.10006597423266003, 0.02000688880637992, 0.10837428145821933, -0.16542673447558026, -0.11281345412410121, -0.15035457617610576, 0.033265564807023355, 0.037770496035090056, 0.05600714736698768, 0.11314723693388037, -0.06346720437643917, -0.11959023776145168, 0.3570407195324738, -0.02619943527255471, -0.03253473110903077, 0.18370358047156235, -0.25411648096106065, -0.09885878715018823, 0.26620802671949223, 0.0578128102264829, 0.11660094560200979, -0.11595569953540574, 0.13826268334235028, -0.01091796927535393, 0.2254433818986478, 0.05014419751461801, 0.07126889531830634, 0.2465698136324723, 0.12408330245676824, -0.05764404460641108, 0.07885105967866331, -0.261160789871603, 0.03200748130517799, -0.15323325786299594, -0.14358520329431226, -0.24752057391754168, 0.03767302299402361, -0.03289600495660611, -0.18548384162952103, 0.39781910120912894, 0.027256314030401116, 0.17969670158597334, -0.11869233207938475, 0.25201652414810766, 0.10954572817660853, -0.005422109915823566, 0.035972635033008765, 0.26598635751490046, 0.17620111638716768, 0.1276318979794233, -0.3313716169809703, 0.08577267146544663, 0.056803809541211586] |
708.1372 | Homological algebra for affine Hecke algebras | In this paper we study homological properties of modules over an affine Hecke
algebra H. In particular we prove a comparison result for higher extensions of
tempered modules when passing to the Schwartz algebra S, a certain topological
completion of the affine Hecke algebra. The proof is self-contained and based
on a direct construction of a bounded contraction of certain standard
resolutions of H-modules.
This construction applies for all positive parameters of the affine Hecke
algebra. This is an important feature since it is an ingredient to analyse how
the irreducible discrete series representations of H arise in generic families
over the parameter space of H. For irreducible non-simply laced affine Hecke
algebras this will enable us to give a complete classification of the discrete
series characters for all positive parameters (we will report on this
application in a separate article).
| math.RT | in this paper we study homological properties of modules over an affine hecke algebra h in particular we prove a comparison result for higher extensions of tempered modules when passing to the schwartz algebra s a certain topological completion of the affine hecke algebra the proof is selfcontained and based on a direct construction of a bounded contraction of certain standard resolutions of hmodules this construction applies for all positive parameters of the affine hecke algebra this is an important feature since it is an ingredient to analyse how the irreducible discrete series representations of h arise in generic families over the parameter space of h for irreducible nonsimply laced affine hecke algebras this will enable us to give a complete classification of the discrete series characters for all positive parameters we will report on this application in a separate article | [['in', 'this', 'paper', 'we', 'study', 'homological', 'properties', 'of', 'modules', 'over', 'an', 'affine', 'hecke', 'algebra', 'h', 'in', 'particular', 'we', 'prove', 'a', 'comparison', 'result', 'for', 'higher', 'extensions', 'of', 'tempered', 'modules', 'when', 'passing', 'to', 'the', 'schwartz', 'algebra', 's', 'a', 'certain', 'topological', 'completion', 'of', 'the', 'affine', 'hecke', 'algebra', 'the', 'proof', 'is', 'selfcontained', 'and', 'based', 'on', 'a', 'direct', 'construction', 'of', 'a', 'bounded', 'contraction', 'of', 'certain', 'standard', 'resolutions', 'of', 'hmodules', 'this', 'construction', 'applies', 'for', 'all', 'positive', 'parameters', 'of', 'the', 'affine', 'hecke', 'algebra', 'this', 'is', 'an', 'important', 'feature', 'since', 'it', 'is', 'an', 'ingredient', 'to', 'analyse', 'how', 'the', 'irreducible', 'discrete', 'series', 'representations', 'of', 'h', 'arise', 'in', 'generic', 'families', 'over', 'the', 'parameter', 'space', 'of', 'h', 'for', 'irreducible', 'nonsimply', 'laced', 'affine', 'hecke', 'algebras', 'this', 'will', 'enable', 'us', 'to', 'give', 'a', 'complete', 'classification', 'of', 'the', 'discrete', 'series', 'characters', 'for', 'all', 'positive', 'parameters', 'we', 'will', 'report', 'on', 'this', 'application', 'in', 'a', 'separate', 'article']] | [-0.15067671233431457, 0.06069110955606241, -0.08882105814009006, 0.0363861984352033, -0.15088153466027468, -0.11681457571949519, -0.036735265191267935, 0.3379118517899873, -0.3491205326446616, -0.18074583951780138, 0.12290949486476759, -0.18850690786271018, -0.15741805308201212, 0.22548339219684613, -0.168701701216294, -0.03143338617994219, 0.0847349724342637, 0.09853521241733791, -0.15070352653794467, -0.3016238609487389, 0.3983726196308085, 0.008002872834748305, 0.2346268719696301, 0.024777777502907716, 0.11017192741988081, 0.0588005256962117, -0.06157803054938608, -0.08696986974323505, -0.17195688501158926, 0.15965024671510708, 0.34664463578122306, 0.06586243769200188, 0.2236682585893027, -0.35101488955213245, -0.11214494534086185, 0.21718144517537233, 0.1786080705735119, 0.045287254233415244, -0.022522069721859186, -0.2591333460683624, 0.06439080098660412, -0.23315813323707446, -0.1284783882194641, -0.07813584036193788, 0.06669616760398717, -0.027778016233235493, -0.26742331414146625, -0.014661467075595593, 0.1251128636208092, 0.15141595948936667, -0.0919796664165399, -0.09670163284498431, -0.01995687610271605, 0.07734293741250826, -0.0648715659919862, -0.009022083159879589, 0.0911899174841002, -0.08821378627640084, -0.1448515933535412, 0.3302456638676689, -0.03672047579125996, -0.22410352962712446, 0.150709643624789, -0.15958524933283, -0.21821461452818508, 0.09983258487669923, 0.11190084574070383, 0.12375786482250807, -0.0434844472160908, 0.2074812666264508, -0.12537577291884533, 0.040745011493662726, 0.06767148112363004, -0.008175066718501402, 0.1385035010720174, 0.11283708260070982, 0.09600084433199983, 0.15096490991348072, 0.03653053171331631, -0.009850969409292682, -0.4272660826273421, -0.24528485724532395, -0.10565371635693607, 0.09865566133686625, -0.09399919089886397, -0.20843937528709358, 0.45600402638884197, 0.12004293456792514, 0.21277125032803584, 0.13181958466781474, 0.1841582821695306, 0.08250511100628011, 0.08732796067715431, 0.006372290561041722, 0.11241425680828855, 0.22828254733789474, -0.019368984625866333, -0.12872876432651642, -0.03695455003828669, 0.1961967640704804] |
708.1373 | A source of ultra-cold neutrons for the gravitational spectrometer
GRANIT | We present the status of the development of a dedicated high density
ultra-cold neutron (UCN) source dedicated to the gravitational spectrometer
GRANIT. The source employs superthermal conversion of cold neutrons to UCN in
superfluid helium. Tests have shown that UCN produced inside the liquid can be
extracted into vacuum. Furthermore a dedicated neutron selection channel was
tested to maintain high initial density and extract only neutrons with a
vertical velocity component 20 cm/s for the spectrometer. This new source would
have a phase-space density of 0.18 cm-3(m/s)-3 for the spectrometer.
| nucl-ex | we present the status of the development of a dedicated high density ultracold neutron ucn source dedicated to the gravitational spectrometer granit the source employs superthermal conversion of cold neutrons to ucn in superfluid helium tests have shown that ucn produced inside the liquid can be extracted into vacuum furthermore a dedicated neutron selection channel was tested to maintain high initial density and extract only neutrons with a vertical velocity component 20 cms for the spectrometer this new source would have a phasespace density of 018 cm3ms3 for the spectrometer | [['we', 'present', 'the', 'status', 'of', 'the', 'development', 'of', 'a', 'dedicated', 'high', 'density', 'ultracold', 'neutron', 'ucn', 'source', 'dedicated', 'to', 'the', 'gravitational', 'spectrometer', 'granit', 'the', 'source', 'employs', 'superthermal', 'conversion', 'of', 'cold', 'neutrons', 'to', 'ucn', 'in', 'superfluid', 'helium', 'tests', 'have', 'shown', 'that', 'ucn', 'produced', 'inside', 'the', 'liquid', 'can', 'be', 'extracted', 'into', 'vacuum', 'furthermore', 'a', 'dedicated', 'neutron', 'selection', 'channel', 'was', 'tested', 'to', 'maintain', 'high', 'initial', 'density', 'and', 'extract', 'only', 'neutrons', 'with', 'a', 'vertical', 'velocity', 'component', '20', 'cms', 'for', 'the', 'spectrometer', 'this', 'new', 'source', 'would', 'have', 'a', 'phasespace', 'density', 'of', '018', 'cm3ms3', 'for', 'the', 'spectrometer']] | [-0.06365720684289555, 0.2683477529737931, -0.16180958470141285, 0.024035602623565393, -0.061628981540502795, -0.11979429036106788, 0.03134865683681342, 0.33366284433626725, -0.16799190286756233, -0.3440893471994427, 0.018825764745588967, -0.300516835968481, 0.13798583142480322, 0.2178454114689251, 0.0051431235742200624, 0.11601506453661478, 0.09281630852531768, 0.013202049400594629, -0.06224343034941075, -0.17446098317852599, 0.2423875639581362, 0.1826400677935126, 0.30537381325586793, 0.08657438153128945, 0.14155823229079584, -0.03679450003304676, -0.06441573769879642, -0.07072216306886311, -0.104994733988329, 0.07138098314864917, 0.28131163748650906, 0.10380870160343272, 0.17251930861953604, -0.48530418178840967, -0.22663989764496978, 0.067869377217852, 0.12597017045907175, 0.0642607646648971, -0.13845680079558928, -0.29140212220464196, 0.05471905313557788, -0.2669280482867466, -0.15972126255942026, -0.04635774735570623, -0.005240865072674966, 0.05782880507941944, -0.2512845034407598, 0.02253346438153406, -0.05230250942267038, 0.027740759189041814, -0.09796098320420539, -0.14612923394574712, 0.05765068920308285, 0.03246686913156777, -0.018379975374515974, 0.10335473117177908, 0.22476149409528026, -0.13346098823567037, -0.008374772017580991, 0.3281379689075304, -0.11477402966859321, -0.13009986551373862, 0.14519094989250486, -0.21106466212508718, -0.11091451167934731, 0.2237829468683915, 0.19390026283230674, 0.07143146060851895, -0.17338225727879933, -0.023190025957641348, -0.0072799872886912705, 0.2557005274902213, 0.1022486321921094, 0.020351478003300307, 0.3166826757670412, 0.19656472825811486, -0.007615690532904328, 0.15135637142177505, -0.28142727882172286, 0.02369234607727633, -0.28949651492398565, -0.188716902643484, -0.1533635449543428, -0.0011884684954361802, 0.03843368036856252, -0.11013602561760809, 0.31000320121562214, 0.09314068881376239, 0.1233818213209468, -0.06992837738015512, 0.34686666022818746, 0.08352829682185535, 0.07417301393344244, 0.038131603406051574, 0.29344916910853946, 0.1978227880939853, 0.1517513861063491, -0.2721607758077594, 0.04138441697591844, -0.012951584043650982] |
708.1374 | Isogonal Conjugacy and Fermat Problems | We consider three types of isogonal conjugacy of two points with respect to a
given triangle and characterize any of these types by a geometric equality. As
an application to the Fermat problem with positive weights, we prove that in
the general case the given weights determine uniquely a point X and the
solution to the Fermat problem is the point Y, which is isogonally conjugate of
type I to the point X. We obtain a similar characterization of the solution to
the Fermat problem in the case of mixed weights as well.
| math.GM | we consider three types of isogonal conjugacy of two points with respect to a given triangle and characterize any of these types by a geometric equality as an application to the fermat problem with positive weights we prove that in the general case the given weights determine uniquely a point x and the solution to the fermat problem is the point y which is isogonally conjugate of type i to the point x we obtain a similar characterization of the solution to the fermat problem in the case of mixed weights as well | [['we', 'consider', 'three', 'types', 'of', 'isogonal', 'conjugacy', 'of', 'two', 'points', 'with', 'respect', 'to', 'a', 'given', 'triangle', 'and', 'characterize', 'any', 'of', 'these', 'types', 'by', 'a', 'geometric', 'equality', 'as', 'an', 'application', 'to', 'the', 'fermat', 'problem', 'with', 'positive', 'weights', 'we', 'prove', 'that', 'in', 'the', 'general', 'case', 'the', 'given', 'weights', 'determine', 'uniquely', 'a', 'point', 'x', 'and', 'the', 'solution', 'to', 'the', 'fermat', 'problem', 'is', 'the', 'point', 'y', 'which', 'is', 'isogonally', 'conjugate', 'of', 'type', 'i', 'to', 'the', 'point', 'x', 'we', 'obtain', 'a', 'similar', 'characterization', 'of', 'the', 'solution', 'to', 'the', 'fermat', 'problem', 'in', 'the', 'case', 'of', 'mixed', 'weights', 'as', 'well']] | [-0.136893937556559, 0.017765570914217158, -0.06113341685546481, 0.0408415442772979, -0.06465808978385251, -0.13743756123332548, 0.06926837507837816, 0.3175043209820338, -0.367612366017926, -0.24245910394908962, 0.12210962942892524, -0.3068944804734834, -0.15039993215190328, 0.16285305480351267, -0.11011045378551859, 0.03819396968364068, 0.031173664494417608, 0.10811106194033408, -0.11175886397351227, -0.2768064967138976, 0.40490627594535117, -0.06256152223795652, 0.2062667406609525, 0.027166778597545446, 0.1288666629081253, 0.01016419933622946, 0.016843053436352184, 0.03430272482902459, -0.14825604731033862, 0.11237978642558395, 0.25174090659002896, 0.1109708435447512, 0.2275130486358767, -0.34132458054986986, -0.1586843435576631, 0.20604122612301423, 0.08728705364805849, 0.056749573338058086, -0.01593496290329115, -0.22182671158351813, 0.14264384993736673, -0.08587606265412076, -0.18746190824363704, -0.02695798884530592, 0.028812785729077525, 0.07425345330620589, -0.2928006508306641, -0.01512468171953831, 0.08430588879222657, 0.03960146671970901, -0.07316541552300686, -0.12262776216527488, -0.006697106243455378, 0.10680169595086583, 0.029543887189862762, 0.043076836882391945, 0.0175741623337988, -0.09345143274960878, -0.11671592156483751, 0.4092456003165115, -0.027406682209719136, -0.2605053950455445, 0.1504220928105971, -0.13053144087873236, -0.13173419233087613, 0.08028183475582172, 0.12204581903516436, 0.17257292869338847, -0.09439190236203697, 0.10309553550146318, -0.08613222692688198, 0.10070061169371121, 0.106507036804586, -0.023438020302463607, 0.16787080116742087, 0.0888370141974124, 0.13005847970793105, 0.18288109046609505, -0.05646522208015718, -0.03970743635284674, -0.36035065325584426, -0.20492888389803146, -0.17657541216391584, 0.10109514398082746, -0.1198587377005859, -0.19996801962185165, 0.4088572079072828, 0.08731655710194584, 0.23207736304839668, 0.055211776937105, 0.20476376337161206, 0.12668234229077707, -0.0022379974632159524, 0.04515915429826988, 0.15913934270729838, 0.13032892388645964, 0.01771898298276305, -0.17968646624206525, 0.010270723718744905, 0.1453807810726373] |
708.1375 | Luttinger Liquid State with Effective Attractive Hare-Core Interaction | An exact solvable 'zig-zag' ladder model of degenerated spinless fermions is
proposed and solved exactly by the means of the Bethe ansatz. An effective
attractive hard-core interaction and direct Coulomb repulsion of fermions on
the nearest-neighbor sites of different chains induce a new phase state of the
ladder. We give a detailed analysis of the exact phase diagram at zero
temperature, that is characterized by two phases at the filling exceeding 2/3:
itinerant and 'frozen' fermions, for which two different species reside in
spatially separate regions. The critical exponents describing asymptotic
behavior of the correlation functions are calculated using the Bethe ansatz and
conformal field theory. It is shown also, that the density of the magnetization
of the corresponding zig-zag spin-1/2 ladder has a jump equal to 1/3 at the
magnetic field equal to zero.
| cond-mat.str-el | an exact solvable zigzag ladder model of degenerated spinless fermions is proposed and solved exactly by the means of the bethe ansatz an effective attractive hardcore interaction and direct coulomb repulsion of fermions on the nearestneighbor sites of different chains induce a new phase state of the ladder we give a detailed analysis of the exact phase diagram at zero temperature that is characterized by two phases at the filling exceeding 23 itinerant and frozen fermions for which two different species reside in spatially separate regions the critical exponents describing asymptotic behavior of the correlation functions are calculated using the bethe ansatz and conformal field theory it is shown also that the density of the magnetization of the corresponding zigzag spin12 ladder has a jump equal to 13 at the magnetic field equal to zero | [['an', 'exact', 'solvable', 'zigzag', 'ladder', 'model', 'of', 'degenerated', 'spinless', 'fermions', 'is', 'proposed', 'and', 'solved', 'exactly', 'by', 'the', 'means', 'of', 'the', 'bethe', 'ansatz', 'an', 'effective', 'attractive', 'hardcore', 'interaction', 'and', 'direct', 'coulomb', 'repulsion', 'of', 'fermions', 'on', 'the', 'nearestneighbor', 'sites', 'of', 'different', 'chains', 'induce', 'a', 'new', 'phase', 'state', 'of', 'the', 'ladder', 'we', 'give', 'a', 'detailed', 'analysis', 'of', 'the', 'exact', 'phase', 'diagram', 'at', 'zero', 'temperature', 'that', 'is', 'characterized', 'by', 'two', 'phases', 'at', 'the', 'filling', 'exceeding', '23', 'itinerant', 'and', 'frozen', 'fermions', 'for', 'which', 'two', 'different', 'species', 'reside', 'in', 'spatially', 'separate', 'regions', 'the', 'critical', 'exponents', 'describing', 'asymptotic', 'behavior', 'of', 'the', 'correlation', 'functions', 'are', 'calculated', 'using', 'the', 'bethe', 'ansatz', 'and', 'conformal', 'field', 'theory', 'it', 'is', 'shown', 'also', 'that', 'the', 'density', 'of', 'the', 'magnetization', 'of', 'the', 'corresponding', 'zigzag', 'spin12', 'ladder', 'has', 'a', 'jump', 'equal', 'to', '13', 'at', 'the', 'magnetic', 'field', 'equal', 'to', 'zero']] | [-0.191103297097962, 0.24103521851378631, -0.04437988033449208, 0.08342304063391769, -0.004480775355154442, -0.19131193624602424, 0.05131279345929485, 0.34492429189677176, -0.21118729458949356, -0.24414235378822519, 0.01975079480541387, -0.3260188841157489, -0.08605203797902775, 0.09906433374207053, 0.15484376540752473, -0.004184782874115087, -0.00646998609105746, 0.057839464020259954, -0.15018464026075823, -0.25403404507648064, 0.30295300455763935, 0.005930952241437303, 0.30356291645654926, 0.07150199313613552, 0.0940244371002471, 0.03147077287926718, 0.09723865100424046, 0.03058981087265743, -0.15703772243028247, 0.05537624418190077, 0.19297755396692082, -0.06507262654809488, 0.16062677150799168, -0.42219845137938306, -0.16554971352840464, 0.06658436966784022, 0.21669147465791966, 0.13036311979284854, 0.019410657811116564, -0.3050026418089315, 0.014184157450303988, -0.19239859478893104, -0.1966971781346257, -0.06773927303513995, -0.010838294183162765, -0.006009216484165302, -0.24168686334612882, 0.12733481646455067, 0.036541585326712166, 0.09783091567469118, -0.06721435498653186, -0.14495187460755307, -0.058113392235504255, 0.10504042023654889, 0.03948791761175488, 0.03682751753367484, 0.08102771817120137, -0.1282107879045523, -0.10980234059496541, 0.3234415443200204, -0.060378103744652536, -0.1762317226164871, 0.2006078498369014, -0.13771538083728282, -0.09999036636134541, 0.1819920888722495, 0.05336579528154323, 0.07648923016946625, -0.18799776600466833, 0.13564557940095526, -0.039705446663450585, 0.12367150955143626, 0.034049657439054165, 0.00025949930013329897, 0.24729498861426558, 0.11185837741941214, 0.06553650733290448, 0.18706802323598554, -0.061850457284944475, -0.1721197675879079, -0.2705940241477004, -0.12775655867428415, -0.254028492624423, 0.039652545038606386, -0.13786950217736713, -0.2199358264232244, 0.41646739279924616, 0.13775082875799854, 0.17686336002726522, 0.002542315219115052, 0.21054249294102192, 0.17186049247953902, 0.02905710798308805, 0.053544803084460676, 0.21796171951832044, 0.17310796111511687, 0.04059871622723424, -0.2797264076941819, -0.01752717174520647, 0.12666962749186766] |
708.1376 | The statistical properties of LCDM halo formation | We present a comparison of the statistical properties of dark matter halo
merger trees extracted from the Millennium Simulation with Extended
Press-Schechter (EPS) formalism and the related GALFORM Monte-Carlo method for
generating ensembles of merger trees. The volume, mass resolution and output
frequency make the Millennium Simulation a unique resource for the study of the
hierarchical growth of structure. We construct the merger trees of present day
friends-of-friends groups and calculate a variety of statistics that quantify
the masses of their progenitors as a function of redshift; accretion rates; and
the redshift distribution of their most recent major merger. We also look in
the forward direction and quantify the present day mass distribution of halos
into which high redshift progenitors of a specific mass become incorporated. We
find that EPS formalism and its Monte-Carlo extension capture the qualitative
behaviour of all these statistics but, as redshift increases they
systematically underestimate the masses of the most massive progenitors. This
shortcoming is worst for the Monte-Carlo algorithm. We present a fitting
function to a scaled version of the progenitor mass distribution and show how
it can be used to make more accurate predictions of both progenitor and final
halo mass distributions.
| astro-ph | we present a comparison of the statistical properties of dark matter halo merger trees extracted from the millennium simulation with extended pressschechter eps formalism and the related galform montecarlo method for generating ensembles of merger trees the volume mass resolution and output frequency make the millennium simulation a unique resource for the study of the hierarchical growth of structure we construct the merger trees of present day friendsoffriends groups and calculate a variety of statistics that quantify the masses of their progenitors as a function of redshift accretion rates and the redshift distribution of their most recent major merger we also look in the forward direction and quantify the present day mass distribution of halos into which high redshift progenitors of a specific mass become incorporated we find that eps formalism and its montecarlo extension capture the qualitative behaviour of all these statistics but as redshift increases they systematically underestimate the masses of the most massive progenitors this shortcoming is worst for the montecarlo algorithm we present a fitting function to a scaled version of the progenitor mass distribution and show how it can be used to make more accurate predictions of both progenitor and final halo mass distributions | [['we', 'present', 'a', 'comparison', 'of', 'the', 'statistical', 'properties', 'of', 'dark', 'matter', 'halo', 'merger', 'trees', 'extracted', 'from', 'the', 'millennium', 'simulation', 'with', 'extended', 'pressschechter', 'eps', 'formalism', 'and', 'the', 'related', 'galform', 'montecarlo', 'method', 'for', 'generating', 'ensembles', 'of', 'merger', 'trees', 'the', 'volume', 'mass', 'resolution', 'and', 'output', 'frequency', 'make', 'the', 'millennium', 'simulation', 'a', 'unique', 'resource', 'for', 'the', 'study', 'of', 'the', 'hierarchical', 'growth', 'of', 'structure', 'we', 'construct', 'the', 'merger', 'trees', 'of', 'present', 'day', 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708.1377 | Quark Mass dependence at Two Loops for Meson Properties | This talks contains a short introduction to Chiral Perturbation Theory and
the existing calculations to two-loop order in the mesonic sector. I include a
discussion on which quantities the expansion can be organized in. The present
best values of the Low-Energy-Constants as determined from continuum physics
are given as well as the assumptions underlying the fits to experimental data.
I present plots of masses, decay constants and $f_+(0)$ in $K_{\ell3}$ as a
function of quark or meson masses. The talk ends with a list of things for
which it would be extremely useful to have good results from lattice QCD
calculations.
| hep-lat hep-ph | this talks contains a short introduction to chiral perturbation theory and the existing calculations to twoloop order in the mesonic sector i include a discussion on which quantities the expansion can be organized in the present best values of the lowenergyconstants as determined from continuum physics are given as well as the assumptions underlying the fits to experimental data i present plots of masses decay constants and f_0 in k_ell3 as a function of quark or meson masses the talk ends with a list of things for which it would be extremely useful to have good results from lattice qcd calculations | [['this', 'talks', 'contains', 'a', 'short', 'introduction', 'to', 'chiral', 'perturbation', 'theory', 'and', 'the', 'existing', 'calculations', 'to', 'twoloop', 'order', 'in', 'the', 'mesonic', 'sector', 'i', 'include', 'a', 'discussion', 'on', 'which', 'quantities', 'the', 'expansion', 'can', 'be', 'organized', 'in', 'the', 'present', 'best', 'values', 'of', 'the', 'lowenergyconstants', 'as', 'determined', 'from', 'continuum', 'physics', 'are', 'given', 'as', 'well', 'as', 'the', 'assumptions', 'underlying', 'the', 'fits', 'to', 'experimental', 'data', 'i', 'present', 'plots', 'of', 'masses', 'decay', 'constants', 'and', 'f_0', 'in', 'k_ell3', 'as', 'a', 'function', 'of', 'quark', 'or', 'meson', 'masses', 'the', 'talk', 'ends', 'with', 'a', 'list', 'of', 'things', 'for', 'which', 'it', 'would', 'be', 'extremely', 'useful', 'to', 'have', 'good', 'results', 'from', 'lattice', 'qcd', 'calculations']] | [-0.06274196566174747, 0.1628206177853223, -0.109401420533362, 0.1022504349043224, -0.09177176347279017, -0.10036394367049827, 0.056216846963639676, 0.3415445086020644, -0.1866283218680632, -0.2951095106430573, 0.11065231093394542, -0.3191908047267116, -0.07749860107179472, 0.1465862801432204, 0.017889562302665547, 0.03492578767637127, 0.06556895247079653, 0.04941922252868662, -0.07050029779922697, -0.2336491294905986, 0.2833174678432469, 0.035751565668436854, 0.1751167197886965, 0.12408954087681699, 0.0008661871381786348, -0.027212516681318827, -0.049409812030447, -0.01390996234177953, -0.16438286918409095, 0.10024145873503225, 0.2595445759989792, 0.08960903290714516, 0.151215498639953, -0.3826190743706014, -0.15604769816105762, 0.033791854370029246, 0.14250719976048953, 0.1529945186177951, -0.024620273465170792, -0.2727375585853242, 0.07735221045515915, -0.17455870125184555, -0.15983890437770007, -0.13686880228192647, -0.0022618619144184164, 0.02018039161800453, -0.28157281901429193, 0.07065447797021358, -0.03772282976562637, 0.04592281386661366, -0.027430380486302874, -0.20945445071481686, -0.003067774285497789, 0.11872124101385695, 0.1192835319307771, 0.08366430553234191, 0.11679543480092641, -0.1629029440882012, -0.11959407522140236, 0.4577000220075692, -0.09470381882239945, -0.1455812286801687, 0.14109998979227673, -0.13547045900716936, -0.15255518327006093, 0.09698028482570506, 0.157467149631443, 0.06611336212107304, -0.16417766645513843, 0.0938423357864768, -0.03895613643349988, 0.17938472324000249, 0.04465268679092278, 0.06773807663161603, 0.2344103356694231, 0.15253920440728047, -0.0421213909158354, 0.056396376585938254, 0.0032403993484849975, -0.09675221628334263, -0.4120245592871515, -0.08677315131973216, -0.16064793325149188, 0.07582946307035071, -0.05581498662866237, -0.16875118503144176, 0.399367929777444, 0.1313393330478137, 0.24822363033337463, 0.028279538609843592, 0.2941205186013243, 0.09013809048395494, 0.11024131936120275, 0.04026491217093893, 0.23918081632824523, 0.14947094980599634, 0.10612966034487628, -0.17475479713060182, -0.0033955996542578875, 0.08262744020799746] |
708.1378 | Report on the ESO Workshop "Obscured AGN Across Cosmic Time" held at
Kloster Seeon, Bavaria, 5 to 8 June 2007 | While the radio-loud, obscured quasars (the radio galaxies) have been known
and studied for decades, new and sensitive X-ray and mid-infrared surveys are
now beginning to reveal large numbers of their radio-quiet counterparts beyond
the local Universe. Consequently, we are approaching the compilation of a
relatively complete census of AGN of all types coving a large fraction of
cosmic time. This is revealing a remarkably intimate connection between the
supermassive black hole and its host galaxy. The workshop reported here was
designed to explore the results of these rapid observational developments and
the nature of the relationships between the stellar and AGN components.
| astro-ph | while the radioloud obscured quasars the radio galaxies have been known and studied for decades new and sensitive xray and midinfrared surveys are now beginning to reveal large numbers of their radioquiet counterparts beyond the local universe consequently we are approaching the compilation of a relatively complete census of agn of all types coving a large fraction of cosmic time this is revealing a remarkably intimate connection between the supermassive black hole and its host galaxy the workshop reported here was designed to explore the results of these rapid observational developments and the nature of the relationships between the stellar and agn components | [['while', 'the', 'radioloud', 'obscured', 'quasars', 'the', 'radio', 'galaxies', 'have', 'been', 'known', 'and', 'studied', 'for', 'decades', 'new', 'and', 'sensitive', 'xray', 'and', 'midinfrared', 'surveys', 'are', 'now', 'beginning', 'to', 'reveal', 'large', 'numbers', 'of', 'their', 'radioquiet', 'counterparts', 'beyond', 'the', 'local', 'universe', 'consequently', 'we', 'are', 'approaching', 'the', 'compilation', 'of', 'a', 'relatively', 'complete', 'census', 'of', 'agn', 'of', 'all', 'types', 'coving', 'a', 'large', 'fraction', 'of', 'cosmic', 'time', 'this', 'is', 'revealing', 'a', 'remarkably', 'intimate', 'connection', 'between', 'the', 'supermassive', 'black', 'hole', 'and', 'its', 'host', 'galaxy', 'the', 'workshop', 'reported', 'here', 'was', 'designed', 'to', 'explore', 'the', 'results', 'of', 'these', 'rapid', 'observational', 'developments', 'and', 'the', 'nature', 'of', 'the', 'relationships', 'between', 'the', 'stellar', 'and', 'agn', 'components']] | [-0.08398086767798911, 0.10639560589676395, -0.045149154422402964, 0.13840352347595433, -0.16313199216372096, -0.06204835700747721, 0.0793301090620933, 0.41476517658242407, -0.13203124003484845, -0.3688793657530172, 0.09696529973207005, -0.3225647227236015, -0.0687230523018276, 0.22878981713096008, 0.008709794490178134, -0.011490145748978773, -0.010338197822919955, -0.1124787141737875, -0.049959297661724335, -0.2941400455004923, 0.30050303078913954, 0.11199735189039334, 0.21162567186619008, -0.010879073654958868, 0.10949794359048075, -0.0964839717911958, -0.15792222068115486, 0.01627357676168721, -0.13702216799206593, 0.10168765002048995, 0.295044005903251, 0.15816510087746544, 0.25061012863857196, -0.374175043265317, -0.18944752293036266, 0.09845160577542093, 0.1569732043141152, 0.06971741822666909, -0.08805698037887101, -0.2673234196160646, 0.07524953365745936, -0.19063842250034213, -0.1441310736095058, 0.007485892621380295, 0.06248548563441956, 0.07076557506932694, -0.10978523045595662, 0.11195132455916382, 0.04412784341576637, 0.0677801354642154, -0.0881753416090528, -0.04791916679937904, -0.030578702074183405, 0.1389183580469013, 0.06996053530818637, 0.03732394915548902, 0.12840304215548232, -0.16492940724471256, -0.09655449001401589, 0.3782876222120488, 0.04643771921480805, 0.05872246197324392, 0.2762072481872404, -0.2474438343744944, -0.18352082389059896, 0.095227268056524, 0.17955360782570115, 0.12461177036211844, -0.14574225702980423, 0.04431920306524262, -0.006651696899686666, 0.20781260328915188, -0.005350839255341128, 0.12210072436288351, 0.3640734875465141, 0.122112429729325, 0.015167100802357834, 0.10404777770300451, -0.15258452211342313, -0.039935443057295156, -0.22973675591250262, -0.11096531129898686, -0.14624119215923378, 0.10634582494979031, -0.11999268022134178, -0.12576604686567888, 0.3719607430975884, 0.05472311056127735, 0.21504493206556813, 0.05892027176313979, 0.2794856812768415, 0.032319764328170936, 0.09716353492209844, 0.10941280157524436, 0.36690369573440035, 0.1932885571401201, 0.10895316642206893, -0.2117888784611269, 0.0871331750497441, 0.0009792346242523077] |
708.1379 | S-Matrix on the Moyal Plane: Locality versus Lorentz Invariance | Twisted quantum field theories on the Groenewold-Moyal plane are known to be
non-local. Despite this non-locality, it is possible to define a generalized
notion of causality. We show that interacting quantum field theories that
involve only couplings between matter fields, or between matter fields and
minimally coupled U(1) gauge fields are causal in this sense. On the other
hand, interactions between matter fields and non-abelian gauge fields violate
this generalized causality. We derive the modified Feynman rules emergent from
these features. They imply that interactions of matter with non-abelian gauge
fields are not Lorentz- and CPT-invariant.
| hep-th gr-qc hep-ph math-ph math.MP math.QA | twisted quantum field theories on the groenewoldmoyal plane are known to be nonlocal despite this nonlocality it is possible to define a generalized notion of causality we show that interacting quantum field theories that involve only couplings between matter fields or between matter fields and minimally coupled u1 gauge fields are causal in this sense on the other hand interactions between matter fields and nonabelian gauge fields violate this generalized causality we derive the modified feynman rules emergent from these features they imply that interactions of matter with nonabelian gauge fields are not lorentz and cptinvariant | [['twisted', 'quantum', 'field', 'theories', 'on', 'the', 'groenewoldmoyal', 'plane', 'are', 'known', 'to', 'be', 'nonlocal', 'despite', 'this', 'nonlocality', 'it', 'is', 'possible', 'to', 'define', 'a', 'generalized', 'notion', 'of', 'causality', 'we', 'show', 'that', 'interacting', 'quantum', 'field', 'theories', 'that', 'involve', 'only', 'couplings', 'between', 'matter', 'fields', 'or', 'between', 'matter', 'fields', 'and', 'minimally', 'coupled', 'u1', 'gauge', 'fields', 'are', 'causal', 'in', 'this', 'sense', 'on', 'the', 'other', 'hand', 'interactions', 'between', 'matter', 'fields', 'and', 'nonabelian', 'gauge', 'fields', 'violate', 'this', 'generalized', 'causality', 'we', 'derive', 'the', 'modified', 'feynman', 'rules', 'emergent', 'from', 'these', 'features', 'they', 'imply', 'that', 'interactions', 'of', 'matter', 'with', 'nonabelian', 'gauge', 'fields', 'are', 'not', 'lorentz', 'and', 'cptinvariant']] | [-0.1871939925767947, 0.28829701444677386, -0.11424115229965537, 0.1450318002680433, -0.16979497731275237, -0.17378639653422093, -0.03772489863816494, 0.3462641948426608, -0.21269159777390692, -0.3137232375205106, 0.0027237565627729055, -0.2342142199825806, -0.18406254170258762, 0.12822675994054103, -0.010211564076598734, -0.04050634643256975, -0.04665698547614738, 0.08727010102302302, -0.05134262161967248, -0.2818902002181858, 0.3669552289453956, -0.052977632478966065, 0.28026216133730486, 0.052809673720427476, 0.10302776013850234, 0.023373444729562227, -0.009226817758947922, 0.06277195890046035, -0.07642945712109395, 0.06984031538013369, 0.18895688511353606, 0.07625936649856158, 0.13441640247280398, -0.47216465951836045, -0.25899301598353003, 0.15446171607012124, 0.07707644679855245, 0.13028690009377897, -0.035092963766752895, -0.34687289970073226, 0.012093941535567865, -0.1447114289573316, -0.09627648054326225, -0.14891073019922865, -0.052498329433243875, -0.029308303239910554, -0.24217429542234944, 0.13927252935536671, 0.027257999655072734, 0.056221820074521624, -0.004799210582859814, -0.013389191328315064, -0.026494064986763988, 0.028183722870987065, 0.10834455740162714, 0.03562855377579884, 0.14452134116436355, -0.26243565412733005, -0.16905423823360857, 0.41089682653546333, -0.04483715929442648, -0.2543685519097683, 0.23175084472556287, -0.12100922344264593, -0.18167201847730516, 0.04131390505547946, 0.12445843672321644, 0.11819294919647898, -0.14306750272468585, 0.18545825686123862, -0.061894939290747665, 0.12037138083057168, 0.0702261893505541, 0.10599773233116139, 0.30878671805839986, -0.017536991508677602, 0.04495386979154622, 0.06522576384728988, 0.04282407012942713, -0.16844945706119083, -0.40962933694633347, -0.16926534119253725, -0.1302314291054548, 0.09011751678084086, -0.0765587714748411, -0.16861195879755542, 0.3306888536414287, 0.19776808937604073, 0.07960882739402564, 0.01589172676661595, 0.1833650805904957, 0.09532775932651323, 0.13282264432442994, 0.07076604338362813, 0.31162923646722146, 0.25046016948181204, 0.028445680596632883, -0.19606667464783337, -0.11147012703804648, 0.08811908943850237] |
708.138 | Measurement of the W + Jet Cross Section at CDF | A measurement of W->e nu + n-jet cross sections in ppbar collisions at
sqrt(s)=1.96 TeV using the Collider Detector at Fermilab in Run II is
presented. The measurement is based on an integrated luminosity of 320 pb-1,
and includes events with jet multiplicity from >= 1 to >= 4. In each jet
multiplicity sample the differential and cumulative cross sections with respect
to the transverse energy of the n^(th)-leading jet are measured. For W+>=2 jets
the differential cross section with respect to the 2-leading jets invariant
mass m_(j_(1)j_(2)) and angular separation Delta R_(j_(1)j_(2)) is also
reported. The data are compared to predictions from Monte Carlo simulations.
| hep-ex | a measurement of we nu njet cross sections in ppbar collisions at sqrts196 tev using the collider detector at fermilab in run ii is presented the measurement is based on an integrated luminosity of 320 pb1 and includes events with jet multiplicity from 1 to 4 in each jet multiplicity sample the differential and cumulative cross sections with respect to the transverse energy of the nthleading jet are measured for w2 jets the differential cross section with respect to the 2leading jets invariant mass m_j_1j_2 and angular separation delta r_j_1j_2 is also reported the data are compared to predictions from monte carlo simulations | [['a', 'measurement', 'of', 'we', 'nu', 'njet', 'cross', 'sections', 'in', 'ppbar', 'collisions', 'at', 'sqrts196', 'tev', 'using', 'the', 'collider', 'detector', 'at', 'fermilab', 'in', 'run', 'ii', 'is', 'presented', 'the', 'measurement', 'is', 'based', 'on', 'an', 'integrated', 'luminosity', 'of', '320', 'pb1', 'and', 'includes', 'events', 'with', 'jet', 'multiplicity', 'from', '1', 'to', '4', 'in', 'each', 'jet', 'multiplicity', 'sample', 'the', 'differential', 'and', 'cumulative', 'cross', 'sections', 'with', 'respect', 'to', 'the', 'transverse', 'energy', 'of', 'the', 'nthleading', 'jet', 'are', 'measured', 'for', 'w2', 'jets', 'the', 'differential', 'cross', 'section', 'with', 'respect', 'to', 'the', '2leading', 'jets', 'invariant', 'mass', 'm_j_1j_2', 'and', 'angular', 'separation', 'delta', 'r_j_1j_2', 'is', 'also', 'reported', 'the', 'data', 'are', 'compared', 'to', 'predictions', 'from', 'monte', 'carlo', 'simulations']] | [-0.037909238255874375, 0.11898916977768731, -0.10146642594381866, 0.13326919939477147, -0.012608952312306925, -0.07649836367033798, -0.09368427824040856, 0.4037049634739606, -0.1729581142220684, -0.36591990724455264, -0.0075058113499027156, -0.43758951665626633, 0.16637197406398077, 0.20098816544626547, 0.05974252013997598, 0.15083400174185183, 0.14942724426098244, -0.0015082888474518602, -0.0697875713219283, -0.1767341247806796, 0.3211736408052872, 0.15199516081448758, 0.21111231619336954, 0.07190852742548091, 0.13844671899880837, 0.04175788292313239, -0.12504428534326378, -0.030855783454208363, -0.15640427789773154, 0.0472042844092798, 0.2709476797902637, 0.04515425838774653, 0.08119980620327312, -0.3139562262782934, 0.0038175018259672205, 0.09609968727924909, 0.12370541526211633, 0.023232814611283816, -0.017882374901973613, -0.2718332757975793, 0.14042372008635087, -0.2412986321694622, -0.10864242220843079, 0.05845528357483522, 0.03501230298607337, 0.009251562991377079, -0.31612047880436434, 0.10097184078503316, -0.08001817601046177, 0.09702387263038845, 0.0003444989484668982, -0.19302776557478038, -0.11692076446394427, -0.062350433760774183, 0.0795053207054452, 0.0971977936252105, 0.20151737511553097, -0.12555840701885485, -0.23831514528754985, 0.3177541975270618, -0.015509077554775609, -0.16218525568267914, 0.18741250375163448, -0.24289355692782938, -0.10214818987967164, 0.2339780894437372, 0.30903722089950486, 0.0795836926912983, -0.198732952902451, 0.061597876667604794, 0.0316265265767773, 0.1781209432002571, 0.0447102106185724, 0.012563216424725875, 0.13053969727509251, 0.20659094710359255, 0.017301170842138804, 0.04530318228015206, -0.2336898265157196, -0.05958858075918573, -0.47550497956649224, -0.12201637335385036, -0.08615532686294179, 0.07344928695914345, -0.03832277779733748, -0.030392661925894442, 0.32554842741463824, 0.07457629914837655, 0.34550317015611764, 0.04418768197523825, 0.30323025230741635, 0.13534227336258298, 0.0867886650696458, 0.12226503175219422, 0.30931374492744607, 0.16430923865750582, 0.1732940245654923, -0.2147279879115898, 0.036386626241070155, 0.03190070136704228] |
708.1381 | Troubleshooting Time-Dependent Density-Functional Theory for
Photochemical Applications: Oxirane | The development of analytic-gradient methodology for excited states within
conventional time-dependent density-functional theory (TDDFT) would seem to
offer a relatively inexpensive alternative to better established
quantum-chemical approaches for the modeling of photochemical reactions.
However, even though TDDFT is formally exact, practical calculations involve
the use of approximate functionals, in particular the TDDFT adiabatic
approximation, whose use in photochemical applications must be further
validated. Here, we investigate the prototypical case of the symmetric CC ring
opening of oxirane. We demonstrate by direct comparison with the results of
high-quality quantum Monte Carlo calculations that, far from being an
approximation on TDDFT, the Tamm-Dancoff approximation (TDA) is a practical
necessity for avoiding triplet instabilities and singlet near instabilities,
thus helping maintain energetically reasonable excited-state potential energy
surfaces during bond breaking. Other difficulties one would encounter in
modeling oxirane photodynamics are pointed out but none of these is likely to
prevent a qualitatively correct TDDFT/TDA description of photochemistry in this
prototypical molecule.
| cond-mat.other | the development of analyticgradient methodology for excited states within conventional timedependent densityfunctional theory tddft would seem to offer a relatively inexpensive alternative to better established quantumchemical approaches for the modeling of photochemical reactions however even though tddft is formally exact practical calculations involve the use of approximate functionals in particular the tddft adiabatic approximation whose use in photochemical applications must be further validated here we investigate the prototypical case of the symmetric cc ring opening of oxirane we demonstrate by direct comparison with the results of highquality quantum monte carlo calculations that far from being an approximation on tddft the tammdancoff approximation tda is a practical necessity for avoiding triplet instabilities and singlet near instabilities thus helping maintain energetically reasonable excitedstate potential energy surfaces during bond breaking other difficulties one would encounter in modeling oxirane photodynamics are pointed out but none of these is likely to prevent a qualitatively correct tddfttda description of photochemistry in this prototypical molecule | [['the', 'development', 'of', 'analyticgradient', 'methodology', 'for', 'excited', 'states', 'within', 'conventional', 'timedependent', 'densityfunctional', 'theory', 'tddft', 'would', 'seem', 'to', 'offer', 'a', 'relatively', 'inexpensive', 'alternative', 'to', 'better', 'established', 'quantumchemical', 'approaches', 'for', 'the', 'modeling', 'of', 'photochemical', 'reactions', 'however', 'even', 'though', 'tddft', 'is', 'formally', 'exact', 'practical', 'calculations', 'involve', 'the', 'use', 'of', 'approximate', 'functionals', 'in', 'particular', 'the', 'tddft', 'adiabatic', 'approximation', 'whose', 'use', 'in', 'photochemical', 'applications', 'must', 'be', 'further', 'validated', 'here', 'we', 'investigate', 'the', 'prototypical', 'case', 'of', 'the', 'symmetric', 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708.1382 | Generating Dark Matter Halo Merger Trees | We present a new Monte-Carlo algorithm to generate merger trees describing
the formation history of dark matter halos. The algorithm is a modification of
the algorithm of Cole et al (2000) used in the GALFORM semi-analytic galaxy
formation model. As such, it is based on the Extended Press-Schechter theory
and so should be applicable to hierarchical models with a wide range of power
spectra and cosmological models. It is tuned to be in accurate agreement with
the conditional mass functions found in the analysis of merger trees extracted
from the LCDM Millennium N-body simulation. We present a comparison of its
predictions not only with these conditional mass functions, but also with
additional statistics of the Millennium Simulation halo merger histories. In
all cases we find it to be in good agreement with the Millennium Simulation and
thus it should prove to be a very useful tool for semi-analytic models of
galaxy formation and for modelling hierarchical structure formation in general.
We have made our merger tree generation code and code to navigate the trees
available at http://star-www.dur.ac.uk/~cole/merger_trees .
| astro-ph | we present a new montecarlo algorithm to generate merger trees describing the formation history of dark matter halos the algorithm is a modification of the algorithm of cole et al 2000 used in the galform semianalytic galaxy formation model as such it is based on the extended pressschechter theory and so should be applicable to hierarchical models with a wide range of power spectra and cosmological models it is tuned to be in accurate agreement with the conditional mass functions found in the analysis of merger trees extracted from the lcdm millennium nbody simulation we present a comparison of its predictions not only with these conditional mass functions but also with additional statistics of the millennium simulation halo merger histories in all cases we find it to be in good agreement with the millennium simulation and thus it should prove to be a very useful tool for semianalytic models of galaxy formation and for modelling hierarchical structure formation in general we have made our merger tree generation code and code to navigate the trees available at httpstarwwwduracukcolemerger_trees | [['we', 'present', 'a', 'new', 'montecarlo', 'algorithm', 'to', 'generate', 'merger', 'trees', 'describing', 'the', 'formation', 'history', 'of', 'dark', 'matter', 'halos', 'the', 'algorithm', 'is', 'a', 'modification', 'of', 'the', 'algorithm', 'of', 'cole', 'et', 'al', '2000', 'used', 'in', 'the', 'galform', 'semianalytic', 'galaxy', 'formation', 'model', 'as', 'such', 'it', 'is', 'based', 'on', 'the', 'extended', 'pressschechter', 'theory', 'and', 'so', 'should', 'be', 'applicable', 'to', 'hierarchical', 'models', 'with', 'a', 'wide', 'range', 'of', 'power', 'spectra', 'and', 'cosmological', 'models', 'it', 'is', 'tuned', 'to', 'be', 'in', 'accurate', 'agreement', 'with', 'the', 'conditional', 'mass', 'functions', 'found', 'in', 'the', 'analysis', 'of', 'merger', 'trees', 'extracted', 'from', 'the', 'lcdm', 'millennium', 'nbody', 'simulation', 'we', 'present', 'a', 'comparison', 'of', 'its', 'predictions', 'not', 'only', 'with', 'these', 'conditional', 'mass', 'functions', 'but', 'also', 'with', 'additional', 'statistics', 'of', 'the', 'millennium', 'simulation', 'halo', 'merger', 'histories', 'in', 'all', 'cases', 'we', 'find', 'it', 'to', 'be', 'in', 'good', 'agreement', 'with', 'the', 'millennium', 'simulation', 'and', 'thus', 'it', 'should', 'prove', 'to', 'be', 'a', 'very', 'useful', 'tool', 'for', 'semianalytic', 'models', 'of', 'galaxy', 'formation', 'and', 'for', 'modelling', 'hierarchical', 'structure', 'formation', 'in', 'general', 'we', 'have', 'made', 'our', 'merger', 'tree', 'generation', 'code', 'and', 'code', 'to', 'navigate', 'the', 'trees', 'available', 'at', 'httpstarwwwduracukcolemerger_trees']] | [-0.019489264333969913, 0.03379225918218832, -0.15526143901198255, 0.13850869359752818, -0.11112432389001531, -0.07090245183843019, -0.013385214965224308, 0.41671524209563027, -0.19887260140967555, -0.3846302781867879, 0.05320329022387424, -0.23040445212179542, -0.09733031127093868, 0.21778394277763172, 0.01946392871666996, 0.04327497362663218, 0.11450685182882642, -0.04891886270541528, -0.027226949190001258, -0.3255889881706521, 0.28171055141931656, 0.13688196037798084, 0.21024308899094732, -0.032055749780159785, 0.08439107522611845, -0.03043393341828381, -0.08860552743267776, -0.0019290760418057703, -0.21360154894963754, 0.04902018724930134, 0.2527281875559517, 0.17669152505616445, 0.20388177354206247, -0.38895678597460076, -0.24074939099161632, 0.08531607732981104, 0.16070377829336477, 0.17823978936013934, -0.10232116779860173, -0.24897558306111023, 0.10373666951371971, -0.27859566431487276, -0.08555418518583545, -0.007604630447035147, -0.014395097295743075, 0.0347285462111441, -0.29119263647226035, 0.12972414272123636, -0.030073367855948163, -0.02848102138936652, -0.025421011623455506, -0.07515784825492036, -0.06650619457650464, 0.08738167781054719, -0.02200997075719484, 0.0614582828837394, 0.13468316187572782, -0.12089308968048003, -0.0959380132315511, 0.4033587262899594, -0.054226795671804044, -0.1292060200569474, 0.22717031463980675, -0.1445551255740363, -0.19695214641449804, 0.059211356203046635, 0.17307634424121882, 0.09440259383568032, -0.12921681329217707, 0.04400769931056526, -0.05195818600689315, 0.1959524670700458, 0.03144082776270807, -0.06444004251757592, 0.29395221327748994, 0.18440342778128319, -0.0038067806394379163, 0.07758407818619162, -0.06244383620452771, -0.1087989095702307, -0.23210533710186032, -0.08956076659714282, -0.15927360186271305, 0.012567783453960146, -0.13282399851819224, -0.18081628744998438, 0.36764021864986385, 0.2018981613747945, 0.2043740667418619, 0.13094445802297824, 0.29929741653243336, 0.07112004318200475, 0.08083597373545424, 0.08860453750292602, 0.2203584996095742, 0.1638506554882042, 0.05161322457239625, -0.18629877510036089, 0.08374225941820028, 0.024507605489237572] |
708.1383 | GRB 070311: a direct link between the prompt emission and the afterglow | We present prompt gamma-ray, early NIR/optical, late optical and X-ray
observations of the peculiar GRB 070311 discovered by INTEGRAL, in order to
gain clues on the mechanisms responsible for the prompt gamma-ray pulse as well
as for the early and late multi-band afterglow of GRB 070311. We fitted with
empirical functions the gamma-ray and optical light curves and scaled the
result to the late time X-rays. The H-band light curve taken by REM shows two
pulses peaking 80 and 140 s after the peak of the gamma-ray burst and possibly
accompanied by a faint gamma-ray tail. Remarkably, the late optical and X-ray
afterglow underwent a major rebrightening between 3x10^4 and 2x10^5 s after the
burst with an X-ray fluence comparable with that of the prompt emission
extrapolated in the same band. Notably, the time profile of the late
rebrightening can be described as the combination of a time-rescaled version of
the prompt gamma-ray pulse and an underlying power law. This result supports a
common origin for both prompt and late X-ray/optical afterglow rebrightening of
GRB 070311 within the external shock scenario. The main fireball would be
responsible for the prompt emission, while a second shell would produce the
rebrightening when impacting the leading blastwave in a refreshed shock
(abridged).
| astro-ph | we present prompt gammaray early niroptical late optical and xray observations of the peculiar grb 070311 discovered by integral in order to gain clues on the mechanisms responsible for the prompt gammaray pulse as well as for the early and late multiband afterglow of grb 070311 we fitted with empirical functions the gammaray and optical light curves and scaled the result to the late time xrays the hband light curve taken by rem shows two pulses peaking 80 and 140 s after the peak of the gammaray burst and possibly accompanied by a faint gammaray tail remarkably the late optical and xray afterglow underwent a major rebrightening between 3x104 and 2x105 s after the burst with an xray fluence comparable with that of the prompt emission extrapolated in the same band notably the time profile of the late rebrightening can be described as the combination of a timerescaled version of the prompt gammaray pulse and an underlying power law this result supports a common origin for both prompt and late xrayoptical afterglow rebrightening of grb 070311 within the external shock scenario the main fireball would be responsible for the prompt emission while a second shell would produce the rebrightening when impacting the leading blastwave in a refreshed shock abridged | [['we', 'present', 'prompt', 'gammaray', 'early', 'niroptical', 'late', 'optical', 'and', 'xray', 'observations', 'of', 'the', 'peculiar', 'grb', '070311', 'discovered', 'by', 'integral', 'in', 'order', 'to', 'gain', 'clues', 'on', 'the', 'mechanisms', 'responsible', 'for', 'the', 'prompt', 'gammaray', 'pulse', 'as', 'well', 'as', 'for', 'the', 'early', 'and', 'late', 'multiband', 'afterglow', 'of', 'grb', '070311', 'we', 'fitted', 'with', 'empirical', 'functions', 'the', 'gammaray', 'and', 'optical', 'light', 'curves', 'and', 'scaled', 'the', 'result', 'to', 'the', 'late', 'time', 'xrays', 'the', 'hband', 'light', 'curve', 'taken', 'by', 'rem', 'shows', 'two', 'pulses', 'peaking', '80', 'and', 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708.1384 | H.E.S.S. observations of galaxy clusters | Clusters of galaxies, the largest gravitationally bound objects in the
universe, are expected to contain a significant population of hadronic and
leptonic cosmic rays. Potential sources for these particles are merger and
accretion shocks, starburst driven galactic winds and radio galaxies.
Furthermore, since galaxy clusters confine cosmic ray protons up to energies of
at least 1 PeV for a time longer than the Hubble time they act as storehouses
and accumulate all the hadronic particles which are accelerated within them.
Consequently clusters of galaxies are potential sources of VHE (> 100 GeV)
gamma rays. Motivated by these considerations, promising galaxy clusters are
observed with the H.E.S.S. experiment as part of an ongoing campaign. Here,
upper limits for the VHE gamma ray emission for the Abell 496 and Coma cluster
systems are reported.
| astro-ph | clusters of galaxies the largest gravitationally bound objects in the universe are expected to contain a significant population of hadronic and leptonic cosmic rays potential sources for these particles are merger and accretion shocks starburst driven galactic winds and radio galaxies furthermore since galaxy clusters confine cosmic ray protons up to energies of at least 1 pev for a time longer than the hubble time they act as storehouses and accumulate all the hadronic particles which are accelerated within them consequently clusters of galaxies are potential sources of vhe 100 gev gamma rays motivated by these considerations promising galaxy clusters are observed with the hess experiment as part of an ongoing campaign here upper limits for the vhe gamma ray emission for the abell 496 and coma cluster systems are reported | [['clusters', 'of', 'galaxies', 'the', 'largest', 'gravitationally', 'bound', 'objects', 'in', 'the', 'universe', 'are', 'expected', 'to', 'contain', 'a', 'significant', 'population', 'of', 'hadronic', 'and', 'leptonic', 'cosmic', 'rays', 'potential', 'sources', 'for', 'these', 'particles', 'are', 'merger', 'and', 'accretion', 'shocks', 'starburst', 'driven', 'galactic', 'winds', 'and', 'radio', 'galaxies', 'furthermore', 'since', 'galaxy', 'clusters', 'confine', 'cosmic', 'ray', 'protons', 'up', 'to', 'energies', 'of', 'at', 'least', '1', 'pev', 'for', 'a', 'time', 'longer', 'than', 'the', 'hubble', 'time', 'they', 'act', 'as', 'storehouses', 'and', 'accumulate', 'all', 'the', 'hadronic', 'particles', 'which', 'are', 'accelerated', 'within', 'them', 'consequently', 'clusters', 'of', 'galaxies', 'are', 'potential', 'sources', 'of', 'vhe', '100', 'gev', 'gamma', 'rays', 'motivated', 'by', 'these', 'considerations', 'promising', 'galaxy', 'clusters', 'are', 'observed', 'with', 'the', 'hess', 'experiment', 'as', 'part', 'of', 'an', 'ongoing', 'campaign', 'here', 'upper', 'limits', 'for', 'the', 'vhe', 'gamma', 'ray', 'emission', 'for', 'the', 'abell', '496', 'and', 'coma', 'cluster', 'systems', 'are', 'reported']] | [-0.049477068367055975, 0.23592057952113324, -0.04106731005729391, 0.17553312970602958, -0.10864111845238278, -0.03192387407359022, 0.012391754153829355, 0.4552065354485351, -0.16085040501605433, -0.3709308659299635, -0.021139290599295726, -0.344532997171896, 0.06861821764077132, 0.24275436055345032, 0.08866302841925063, -0.03631760993504521, 0.09708745839217535, -0.08459493347372, 0.06331123688679118, -0.31319660446964775, 0.26469823794725994, 0.19359706697197487, 0.10373243263994272, -0.0023641852733607477, 0.08436483257940451, -0.1514271213959616, -0.07421134820458694, -0.0764439700341497, -0.12398184651079086, 0.03962545841036794, 0.26429030945381293, 0.12098225004469546, 0.171910278350473, -0.3830881003720256, -0.2357986041917824, 0.16555324252694845, 0.23997206702255286, 0.0012711223349190102, -0.09250231274009611, -0.34104713292147676, 0.08055980306548569, -0.1770588007576477, -0.16491920720929137, 0.10944284102700363, 0.014520320862245101, 0.0771274254979709, -0.16439610491148554, 0.1693248533196031, -0.020886705290132132, 0.01792371479879456, -0.13946500659311334, -0.10686957374788247, 0.018082893414136308, 0.05673814633717904, 0.07747637994873982, 0.08182494512517363, 0.23826063535032938, -0.14507883704410723, -0.11218147113775978, 0.44930130971882204, 0.023392917080939067, 0.04721928399342757, 0.25008733079123957, -0.22676569023169577, -0.2235425013762254, 0.196555079277963, 0.19967034527888664, 0.05484636637847871, -0.20107379705430223, 0.05387978264838099, 0.018331410460030804, 0.1586793505228483, 0.06073900659102947, 0.057602084782914835, 0.3271821538487879, 0.0961837362498045, 0.09064434333346211, 0.05764431428844825, -0.20465767020023823, 0.026713322253467946, -0.30024347508397814, -0.08730509183235252, -0.16201791867989904, 0.11293864052097957, -0.14286511547162753, -0.1048098136876853, 0.3069324376204839, 0.027748500347997133, 0.18901299382201753, 0.04980633867850814, 0.27362681575692616, 0.03175101863900916, 0.05598815265469826, 0.17730451684731705, 0.3559901337067668, 0.1486176874506502, 0.0685554315882305, -0.16773515806282654, 0.030627384652885108, -0.02607348313411841] |
708.1385 | Beating the Standard Quantum Limit with Four Entangled Photons | Precision measurements are important across all fields of science. In
particular, optical phase measurements can be used to measure distance,
position, displacement, acceleration and optical path length. Quantum
entanglement enables higher precision than would otherwise be possible. We
demonstrate an optical phase measurement with an entangled four photon
interference visibility greater than the threshold to beat the standard quantum
limit--the limit attainable without entanglement. These results open the way
for new high-precision measurement applications.
| quant-ph | precision measurements are important across all fields of science in particular optical phase measurements can be used to measure distance position displacement acceleration and optical path length quantum entanglement enables higher precision than would otherwise be possible we demonstrate an optical phase measurement with an entangled four photon interference visibility greater than the threshold to beat the standard quantum limitthe limit attainable without entanglement these results open the way for new highprecision measurement applications | [['precision', 'measurements', 'are', 'important', 'across', 'all', 'fields', 'of', 'science', 'in', 'particular', 'optical', 'phase', 'measurements', 'can', 'be', 'used', 'to', 'measure', 'distance', 'position', 'displacement', 'acceleration', 'and', 'optical', 'path', 'length', 'quantum', 'entanglement', 'enables', 'higher', 'precision', 'than', 'would', 'otherwise', 'be', 'possible', 'we', 'demonstrate', 'an', 'optical', 'phase', 'measurement', 'with', 'an', 'entangled', 'four', 'photon', 'interference', 'visibility', 'greater', 'than', 'the', 'threshold', 'to', 'beat', 'the', 'standard', 'quantum', 'limitthe', 'limit', 'attainable', 'without', 'entanglement', 'these', 'results', 'open', 'the', 'way', 'for', 'new', 'highprecision', 'measurement', 'applications']] | [-0.12809755660694194, 0.23554089364345576, -0.0686053675221833, 0.02534368174855371, -0.03867931152391877, -0.19300359033199177, 0.05313815755417218, 0.4296678339911474, -0.2666756329000802, -0.32770085047829794, 0.06881517020677141, -0.2879456366865417, -0.049757327179651, 0.29944150108919554, -0.052098552325136355, 0.13134502010369623, 0.09677314026457434, 0.04068596002872329, -0.06817581357412368, -0.20353808897434156, 0.20413035426188159, 0.0826890436473076, 0.31371693172164866, 0.049794201147616714, 0.05758342019131256, 0.042448561053370706, -0.010212928610476287, 0.017955070304860536, -0.1396432200421554, 0.09915508818183397, 0.2405002019997384, 0.09937143366079072, 0.18901466256057894, -0.381005564150778, -0.20147047884057503, 0.16603467354198564, 0.1620043168486272, 0.18133009242749698, -0.0015977836918790599, -0.2886283337390302, -0.016647552870012617, -0.12182225037768886, -0.15057417272111853, -0.0947555245240093, -0.008041312483869292, -0.05611532350146287, -0.24797041083660884, 0.09124262215934593, -0.031666060045953036, 0.07107891022806635, 0.026135231185754813, -0.0660748266539461, 0.06240097208678521, 0.16516696847975254, -0.10656755406887748, 0.06497932170719109, 0.15208026058846028, -0.14291457622626647, -0.19030401905419658, 0.3621728057796891, -0.07584953313650929, -0.12448629685300025, 0.16239202265451486, -0.19933359756612698, -0.053692663233173454, 0.10991942678339074, 0.1455161010003271, 0.06868215048736012, -0.13324274870919417, -0.022260388007821718, 0.0529386681045179, 0.23411766198507786, 0.1085237543967024, 0.20209855694525145, 0.23087484095329372, 0.10458624542602715, 0.1097261245689682, 0.10721965017099236, -0.15025905235292944, -0.09488986987019637, -0.28941215020982, -0.18453180730481306, -0.17865961923647822, 0.09015997983295017, -0.1350185723306306, -0.0656137978595153, 0.352263311540859, 0.21890636430927427, 0.11795077896425249, 0.002185642155677055, 0.3505423541080106, 0.12641640363349202, 0.08464546479140031, 0.02608308948677134, 0.3473011153825634, 0.13079595820808382, 0.04969360119965229, -0.2051554217500411, 0.03874136252655975, -0.028690694095063453] |
708.1386 | Quantum computing with collective ensembles of multi-level systems | We propose a new physical approach for encoding and processing of quantum
information in ensembles of multi-level quantum systems, where the different
bits are not carried by individual particles but associated with the collective
population of different internal levels. One- and two-bit gates are implemented
by collective internal state transitions taking place in the presence of an
excitation blockade mechanism which restricts the population of each internal
state to the values zero and unity. 10-20 bit quantum computers can be built
via this scheme in single trapped clouds of ground state atoms subject to the
Rydberg excitation blockade mechanism, and the linear dependence between
register size and the number of internal quantum states in atoms offers
realistic means to reach larger registers.
| quant-ph | we propose a new physical approach for encoding and processing of quantum information in ensembles of multilevel quantum systems where the different bits are not carried by individual particles but associated with the collective population of different internal levels one and twobit gates are implemented by collective internal state transitions taking place in the presence of an excitation blockade mechanism which restricts the population of each internal state to the values zero and unity 1020 bit quantum computers can be built via this scheme in single trapped clouds of ground state atoms subject to the rydberg excitation blockade mechanism and the linear dependence between register size and the number of internal quantum states in atoms offers realistic means to reach larger registers | [['we', 'propose', 'a', 'new', 'physical', 'approach', 'for', 'encoding', 'and', 'processing', 'of', 'quantum', 'information', 'in', 'ensembles', 'of', 'multilevel', 'quantum', 'systems', 'where', 'the', 'different', 'bits', 'are', 'not', 'carried', 'by', 'individual', 'particles', 'but', 'associated', 'with', 'the', 'collective', 'population', 'of', 'different', 'internal', 'levels', 'one', 'and', 'twobit', 'gates', 'are', 'implemented', 'by', 'collective', 'internal', 'state', 'transitions', 'taking', 'place', 'in', 'the', 'presence', 'of', 'an', 'excitation', 'blockade', 'mechanism', 'which', 'restricts', 'the', 'population', 'of', 'each', 'internal', 'state', 'to', 'the', 'values', 'zero', 'and', 'unity', '1020', 'bit', 'quantum', 'computers', 'can', 'be', 'built', 'via', 'this', 'scheme', 'in', 'single', 'trapped', 'clouds', 'of', 'ground', 'state', 'atoms', 'subject', 'to', 'the', 'rydberg', 'excitation', 'blockade', 'mechanism', 'and', 'the', 'linear', 'dependence', 'between', 'register', 'size', 'and', 'the', 'number', 'of', 'internal', 'quantum', 'states', 'in', 'atoms', 'offers', 'realistic', 'means', 'to', 'reach', 'larger', 'registers']] | [-0.14691997232935658, 0.24668305833381696, -0.033665871438493984, 0.019823471410104578, 0.011737893995844195, -0.1984320345036991, 0.12083393930682729, 0.3432741777009529, -0.2708890915573498, -0.3422043804903744, -0.006004709056693084, -0.23853114009147786, -0.048867163462106324, 0.1706205097973713, -0.0014270410012285851, 0.05194555119848448, 0.04291374418411221, 0.03839109816252575, -0.009220212911967509, -0.23774985124769268, 0.28612127842297624, 0.07312458380293406, 0.30348497552827736, 0.0014609745741806558, 0.13639308394650457, -0.004517496422269061, 0.08045818358965096, -0.040885911498707336, -0.05312547611538321, 0.11659220134272606, 0.24142348949728748, 0.09944104192564722, 0.2701541270419467, -0.5175158586047712, -0.18812030283581527, 0.08217024098562657, 0.16346415688405883, 0.21241226612464295, -0.017619594145321944, -0.31132560522776465, 0.0174952657858948, -0.19493789609033066, -0.07548453962166993, -0.09503591256826872, 0.007061578173068215, 0.0034432013473305544, -0.23566073234208296, 0.053800976556557856, 0.04786567164004826, 0.0715005377719759, -0.03509787571059204, -0.0866735628424365, -0.004422047351044221, 0.14875911855230445, -0.08052274181133472, -0.027478286153904054, 0.21265729425902494, -0.12433085882784341, -0.16108182681816036, 0.3715586640612512, -0.01940615526896703, -0.18834987775895928, 0.18174429312272028, -0.13773061553604107, -0.07944672201286818, 0.13000039511635045, 0.15585788179066826, 0.0899410941103687, -0.12157929987173344, 0.04057016771298177, 0.014049297977299964, 0.21351558928851222, 0.048614999733590444, 0.16713851857090706, 0.22872849124804384, 0.12091964013782926, 0.034374210619001234, 0.1759496587929774, -0.10034343054123054, -0.19319369434569886, -0.2589422021916167, -0.1364522001984697, -0.19685153193298544, 0.06751016292878002, -0.04414023069860929, -0.11441498899404876, 0.3601576226189879, 0.14406358328128813, 0.20151801948954703, -0.044041006773382, 0.29870029750230465, 0.13897986597854828, 0.07758424612006447, 0.05005261491216933, 0.19802163556202879, 0.13709434498956458, 0.03284049034118652, -0.29049994434863635, 0.05423839488085817, 0.0068972762864938034] |
708.1387 | In-situ photoemission study of Pr_{1-x}Ca_xMnO_3 epitaxial thin films
with suppressed charge fluctuations | We have performed an {\it in-situ} photoemission study of Pr_{1-x}Ca_xMnO_3
(PCMO) thin films grown on LaAlO_3 (001) substrates and observed the effect of
epitaxial strain on the electronic structure. We found that the chemical
potential shifted monotonically with doping, unlike bulk PCMO, implying the
disappearance of incommensurate charge fluctuations of bulk PCMO. In the
valence-band spectra, we found a doping-induced energy shift toward the Fermi
level (E_F) but there was no spectral weight transfer, which was observed in
bulk PCMO. The gap at E_F was clearly seen in the experimental band dispersions
determined by angle-resolved photoemission spectroscopy and could not be
explained by the metallic band structure of the C-type antiferromagnetic state,
probably due to localization of electrons along the ferromagnetic chain
direction or due to another type of spin-orbital ordering.
| cond-mat.str-el cond-mat.mtrl-sci | we have performed an it insitu photoemission study of pr_1xca_xmno_3 pcmo thin films grown on laalo_3 001 substrates and observed the effect of epitaxial strain on the electronic structure we found that the chemical potential shifted monotonically with doping unlike bulk pcmo implying the disappearance of incommensurate charge fluctuations of bulk pcmo in the valenceband spectra we found a dopinginduced energy shift toward the fermi level e_f but there was no spectral weight transfer which was observed in bulk pcmo the gap at e_f was clearly seen in the experimental band dispersions determined by angleresolved photoemission spectroscopy and could not be explained by the metallic band structure of the ctype antiferromagnetic state probably due to localization of electrons along the ferromagnetic chain direction or due to another type of spinorbital ordering | [['we', 'have', 'performed', 'an', 'it', 'insitu', 'photoemission', 'study', 'of', 'pr_1xca_xmno_3', 'pcmo', 'thin', 'films', 'grown', 'on', 'laalo_3', '001', 'substrates', 'and', 'observed', 'the', 'effect', 'of', 'epitaxial', 'strain', 'on', 'the', 'electronic', 'structure', 'we', 'found', 'that', 'the', 'chemical', 'potential', 'shifted', 'monotonically', 'with', 'doping', 'unlike', 'bulk', 'pcmo', 'implying', 'the', 'disappearance', 'of', 'incommensurate', 'charge', 'fluctuations', 'of', 'bulk', 'pcmo', 'in', 'the', 'valenceband', 'spectra', 'we', 'found', 'a', 'dopinginduced', 'energy', 'shift', 'toward', 'the', 'fermi', 'level', 'e_f', 'but', 'there', 'was', 'no', 'spectral', 'weight', 'transfer', 'which', 'was', 'observed', 'in', 'bulk', 'pcmo', 'the', 'gap', 'at', 'e_f', 'was', 'clearly', 'seen', 'in', 'the', 'experimental', 'band', 'dispersions', 'determined', 'by', 'angleresolved', 'photoemission', 'spectroscopy', 'and', 'could', 'not', 'be', 'explained', 'by', 'the', 'metallic', 'band', 'structure', 'of', 'the', 'ctype', 'antiferromagnetic', 'state', 'probably', 'due', 'to', 'localization', 'of', 'electrons', 'along', 'the', 'ferromagnetic', 'chain', 'direction', 'or', 'due', 'to', 'another', 'type', 'of', 'spinorbital', 'ordering']] | [-0.1700111597008605, 0.21500853783611426, -0.05237062416885418, 0.0116370428870752, -0.007505471723950432, -0.13397386077549736, 0.13066899561756895, 0.4742110659233259, -0.29091493592007467, -0.3127993288670332, -0.036675940188650356, -0.34147775697856003, -0.08010693493064579, 0.1494620054842947, 0.04493944207561835, -0.010493886243107192, -0.02222024372917465, -0.111718688597405, -0.1583058283680282, -0.16159626329051088, 0.28813011740433864, 0.08041123975999653, 0.3323873276893362, 0.12171709468901043, -0.017394378880849323, -0.015569838039392164, 0.12470044227288539, 0.025676724031738197, -0.17401739468875577, 0.05241403286345303, 0.27097590525727006, -0.1915968436932632, 0.16747269212118998, -0.43865039567854114, -0.24048862441883687, -0.04302912200481154, 0.1401527154509099, 0.09576668549339706, -0.0866904731480874, -0.28133108826595865, 0.04377960282882661, -0.1174431921317036, -0.12894146372110918, -0.043471918956781846, -0.05219045985056414, -0.07055564161624674, -0.1604781122624924, 0.1370386340520309, 0.03991800213662751, 0.12484744422933983, -0.1601536563359457, -0.15757099212367684, -0.20129843453258162, -0.003971870062616832, 0.09046810905925418, 0.09734833239553717, 0.17314471944256593, -0.057332416950149165, -0.11426770925265915, 0.3300290394944089, -0.03875665263119971, -0.010573112623337728, 0.15620379899237447, -0.2505281756895075, -0.06776741210580982, 0.21507002791133886, 0.022432240099425762, 0.07173715106865661, -0.09133813394151827, 0.08673737263964588, 0.021358326006367917, 0.2461405698039377, 0.088087729668913, 0.06288868921563627, 0.2528881039825901, 0.17900078916452997, 0.020308340197599684, 0.10861650115422876, -0.19108323998063206, 0.02120144585616716, -0.14647804123690736, -0.16210421634738453, -0.26090717152870113, 0.08582889308225637, -0.02909029354781218, -0.2059074784629047, 0.40176324040152644, 0.0818824443265506, 0.2007846065462773, -0.10610763436869385, 0.17829523522776503, 0.11396066900982543, 0.09300121807009835, 0.030403136513871318, 0.3052554560935423, 0.16668771389686993, 0.14876010913576465, -0.3123626070708491, 0.147831025022617, -0.03112714227759066] |
708.1388 | Superconductivity on the border of weak itinerant ferromagnetism in
UCoGe | We report the coexistence of ferromagnetic order and superconductivity in
UCoGe at ambient pressure. Magnetization measurements show that UCoGe is a weak
ferromagnet with a Curie temperature T_{C}= 3 K and a small ordered moment
$m_{0}$= 0.03 $\mu_B$. Superconductivity is observed with a resistive
transition temperature T_{s} = 0.8 K for the best sample. Thermal-expansion and
specific-heat measurements provide solid evidence for bulk magnetism and
superconductivity. The proximity to a ferromagnetic instability, the defect
sensitivity of T_{s}, and the absence of Pauli limiting, suggest triplet
superconductivity mediated by critical ferromagnetic fluctuations.
| cond-mat.supr-con cond-mat.str-el | we report the coexistence of ferromagnetic order and superconductivity in ucoge at ambient pressure magnetization measurements show that ucoge is a weak ferromagnet with a curie temperature t_c 3 k and a small ordered moment m_0 003 mu_b superconductivity is observed with a resistive transition temperature t_s 08 k for the best sample thermalexpansion and specificheat measurements provide solid evidence for bulk magnetism and superconductivity the proximity to a ferromagnetic instability the defect sensitivity of t_s and the absence of pauli limiting suggest triplet superconductivity mediated by critical ferromagnetic fluctuations | [['we', 'report', 'the', 'coexistence', 'of', 'ferromagnetic', 'order', 'and', 'superconductivity', 'in', 'ucoge', 'at', 'ambient', 'pressure', 'magnetization', 'measurements', 'show', 'that', 'ucoge', 'is', 'a', 'weak', 'ferromagnet', 'with', 'a', 'curie', 'temperature', 't_c', '3', 'k', 'and', 'a', 'small', 'ordered', 'moment', 'm_0', '003', 'mu_b', 'superconductivity', 'is', 'observed', 'with', 'a', 'resistive', 'transition', 'temperature', 't_s', '08', 'k', 'for', 'the', 'best', 'sample', 'thermalexpansion', 'and', 'specificheat', 'measurements', 'provide', 'solid', 'evidence', 'for', 'bulk', 'magnetism', 'and', 'superconductivity', 'the', 'proximity', 'to', 'a', 'ferromagnetic', 'instability', 'the', 'defect', 'sensitivity', 'of', 't_s', 'and', 'the', 'absence', 'of', 'pauli', 'limiting', 'suggest', 'triplet', 'superconductivity', 'mediated', 'by', 'critical', 'ferromagnetic', 'fluctuations']] | [-0.24282033356527488, 0.30667271188770734, 0.015349765147806869, 0.003364185670701166, -0.06355572998937634, -0.14133018122261598, 0.18877073820072432, 0.36512406460112995, -0.20240339419494072, -0.26719149890252286, -0.007160866406694468, -0.3956690823866261, -0.027584485665688083, 0.11483126692473888, 0.14659241134714748, -0.030060899061047367, -0.11750099051278085, -0.003517628722086859, -0.18347042626313245, -0.23503649742859933, 0.2817712005900426, -0.05006558301651643, 0.3467663979364766, 0.12817872867195143, 0.02067366204897149, -0.06662272645270503, 0.2520218338092996, 0.0782091836962435, -0.22756862736916647, -0.060924419758117035, 0.304575059024824, -0.16748170266962714, 0.1435292084597879, -0.3340361611189211, -0.2025193295816684, -0.0012193440175097849, 0.07068905808911141, 0.09112781759661932, -0.09904623694924844, -0.3020580167726924, 0.08866645359990394, -0.07608025595545768, -0.12065204313128358, -0.1342091194095297, -0.02077522449609306, -0.07307418219538199, -0.329292797545592, 0.20079002307934893, 0.12986912322359986, 0.22624591355108553, -0.11227819849736989, -0.1784783454508417, -0.08329642482567579, -0.056661928636539315, 0.06472674300376739, 0.15107306038391674, 0.1809834709028817, -0.0780549552757293, -0.08176738415430818, 0.29531464831282694, -0.07188992130751204, 0.0792754973931652, 0.15033564704677296, -0.2597072577673114, -0.0509037997884055, 0.21355438199308183, 0.055438826584981546, 0.039589419474618304, -0.13538912637159228, 0.0733723343447006, 0.035612147888686094, 0.23769549860153347, -0.00485190324123121, 0.036785468112470375, 0.286135938949883, 0.2741239521988771, 0.04969479604624212, 0.11016958572177424, -0.14502717037426516, 0.02408805823781424, -0.25434546375440226, -0.20905526403544678, -0.2271000007374419, 0.11046721364578439, -0.14370935436891158, -0.16021748040285375, 0.26086357295927076, 0.2146374223339889, 0.20678564879215425, -0.07302569667032609, 0.21453247344017856, 0.06402167299917588, 0.03416370777413249, 0.07194485060042805, 0.2490072946374615, 0.2659789339561636, 0.18889037896361616, -0.34922458447981625, 0.12583133125832927, -0.005956714031183057] |
708.1389 | Microscopic origin of granular ratcheting | Numerical simulations of assemblies of grains under cyclic loading exhibit
``granular ratcheting'': a small net deformation occurs with each cycle,
leading to a linear accumulation of deformation with cycle number. We show that
this is due to a curious property of the most frequently used models of the
particle-particle interaction: namely, that the potential energy stored in
contacts is path-dependent. There exist closed paths that change the stored
energy, even if the particles remain in contact and do not slide. An
alternative method for calculating the tangential force removes granular
ratcheting.
| cond-mat.soft | numerical simulations of assemblies of grains under cyclic loading exhibit granular ratcheting a small net deformation occurs with each cycle leading to a linear accumulation of deformation with cycle number we show that this is due to a curious property of the most frequently used models of the particleparticle interaction namely that the potential energy stored in contacts is pathdependent there exist closed paths that change the stored energy even if the particles remain in contact and do not slide an alternative method for calculating the tangential force removes granular ratcheting | [['numerical', 'simulations', 'of', 'assemblies', 'of', 'grains', 'under', 'cyclic', 'loading', 'exhibit', 'granular', 'ratcheting', 'a', 'small', 'net', 'deformation', 'occurs', 'with', 'each', 'cycle', 'leading', 'to', 'a', 'linear', 'accumulation', 'of', 'deformation', 'with', 'cycle', 'number', 'we', 'show', 'that', 'this', 'is', 'due', 'to', 'a', 'curious', 'property', 'of', 'the', 'most', 'frequently', 'used', 'models', 'of', 'the', 'particleparticle', 'interaction', 'namely', 'that', 'the', 'potential', 'energy', 'stored', 'in', 'contacts', 'is', 'pathdependent', 'there', 'exist', 'closed', 'paths', 'that', 'change', 'the', 'stored', 'energy', 'even', 'if', 'the', 'particles', 'remain', 'in', 'contact', 'and', 'do', 'not', 'slide', 'an', 'alternative', 'method', 'for', 'calculating', 'the', 'tangential', 'force', 'removes', 'granular', 'ratcheting']] | [-0.20345283397422223, 0.21525710758354621, -0.08002805405879741, 0.01678338914643973, -0.027138209338862816, -0.14085828519559332, 0.013547688228804823, 0.3701461417457232, -0.29424491875349534, -0.25653833719891506, 0.02824545027636974, -0.2593669673366534, -0.16109967235332498, 0.16550576268403616, -0.05490364438270802, -0.013443021516950166, 0.09097557478062399, 0.039133074028151374, -0.02222397797843339, -0.21786681952077772, 0.26073610345754006, 0.036536549778327675, 0.2739028238926779, 0.07779364034426041, 0.11190305890740601, 0.015145201443254456, 0.04037311703355594, 0.08782502872726092, -0.15283748130741015, 0.06429243416290034, 0.20853121520601664, 0.012610454316977616, 0.24974785224217308, -0.5062955709194744, -0.21450153629776542, 0.1779670902927007, 0.1118121450014699, 0.12590186694473193, -0.07524575274386494, -0.14458810000752026, 0.07725480963363425, -0.17176253858001922, -0.13990688121335193, -0.06742559003920018, 0.06055871179265963, 0.0627351214617982, -0.24634572577018005, 0.1007246287785225, 0.09734677592967893, 0.0640275840043694, -0.07958124486657862, -0.05592869650981911, -0.047106026057768, 0.11970730189484759, 0.08892323684131542, 0.0020282624448025293, 0.1976853511142698, -0.1342803956812841, -0.05019988767562209, 0.4090104915795254, -0.01321195686174618, -0.20297412492416717, 0.21224631324594656, -0.11114406224677932, -0.09247729100624692, 0.21690574677272156, 0.12176667474169325, 0.06782678907140988, -0.1403156703563182, 0.040013215360666654, -0.032287341000123336, 0.1582712564146617, 0.12544899516749186, -0.05086838046682405, 0.1986722252689875, 0.15729275497526013, 0.08268371791640235, 0.1363315690400918, -0.10688854249419419, -0.11882297711057978, -0.3091701292893389, -0.15218163304194643, -0.17959738115186466, 0.05470937951279236, -0.083489417011311, -0.2341772369480088, 0.3190937928630264, 0.1323299400487935, 0.19721325161447237, 0.014060146620517576, 0.26963891413902025, 0.0839904151590807, 0.1251368048373139, 0.08294423324680263, 0.23939828805952937, 0.10969557313268984, 0.07785818848891982, -0.22447633700493907, 0.11108762662919176, 0.0370274460861705] |
708.139 | Non-linear optics with two trapped atoms | We show theoretically that two atomic dipoles in a resonator constitute a
non-linear medium, whose properties can be controlled through the relative
position of the atoms inside the cavity and the detuning and intensity of the
driving laser. We identify the parameter regime where the system operates as a
parametric amplifier, based on the cascade emission of the collective dipole of
the atoms, and determine the corresponding spectrum of squeezing of the field
at the cavity output. This dynamics could be observed as a result of
self-organization of laser-cooled atoms in resonators.
| quant-ph | we show theoretically that two atomic dipoles in a resonator constitute a nonlinear medium whose properties can be controlled through the relative position of the atoms inside the cavity and the detuning and intensity of the driving laser we identify the parameter regime where the system operates as a parametric amplifier based on the cascade emission of the collective dipole of the atoms and determine the corresponding spectrum of squeezing of the field at the cavity output this dynamics could be observed as a result of selforganization of lasercooled atoms in resonators | [['we', 'show', 'theoretically', 'that', 'two', 'atomic', 'dipoles', 'in', 'a', 'resonator', 'constitute', 'a', 'nonlinear', 'medium', 'whose', 'properties', 'can', 'be', 'controlled', 'through', 'the', 'relative', 'position', 'of', 'the', 'atoms', 'inside', 'the', 'cavity', 'and', 'the', 'detuning', 'and', 'intensity', 'of', 'the', 'driving', 'laser', 'we', 'identify', 'the', 'parameter', 'regime', 'where', 'the', 'system', 'operates', 'as', 'a', 'parametric', 'amplifier', 'based', 'on', 'the', 'cascade', 'emission', 'of', 'the', 'collective', 'dipole', 'of', 'the', 'atoms', 'and', 'determine', 'the', 'corresponding', 'spectrum', 'of', 'squeezing', 'of', 'the', 'field', 'at', 'the', 'cavity', 'output', 'this', 'dynamics', 'could', 'be', 'observed', 'as', 'a', 'result', 'of', 'selforganization', 'of', 'lasercooled', 'atoms', 'in', 'resonators']] | [-0.14147766356599395, 0.20842236811269843, -0.052730166109066216, -0.03880232390719871, 0.029945001208587833, -0.11111492580612717, 0.04926596300387957, 0.40658331706957973, -0.2692638939226289, -0.2541399167713952, 0.016358073686917676, -0.2421806240859239, -0.07940594175243346, 0.22025375465012115, 0.04197450240684228, 0.010654326366341633, 0.004247434380332656, 0.028540500366311197, 0.0316421135667833, -0.12563849685956602, 0.30558793190056865, 0.06489102884560176, 0.2920270414172631, 0.021520925544040358, 0.13905750807759393, -0.05868205376748886, 0.08662723014941034, -0.017989794344074377, -0.0779772727961719, 0.11456927897044174, 0.20707610089574818, 0.048696425738339516, 0.27223797336868616, -0.43850255040856806, -0.17978882068596053, 0.0757555465578385, 0.17366414254976678, 0.15546926437705028, -0.0069175747706575075, -0.2952618071930888, -0.035755824824066265, -0.13496727134991923, -0.13864329164726255, -0.037054029799511896, -0.01700853840220193, 0.09598214755280186, -0.29266403641794686, 0.008170056895798316, 0.08309838771682458, 0.07648200689278462, -0.03370947282224813, 0.0006959598129311496, -0.023167707294266184, 0.07465785891121335, -0.0500989546391951, -0.022929122679077252, 0.24462733945161427, -0.14997201303333935, -0.09497426962479949, 0.413792541978815, -0.13109345450420337, -0.13502087876322152, 0.13543041942023631, -0.1904863705630819, -0.013531700657356692, 0.1319518342219374, 0.19659771349119104, 0.0898209388124878, -0.1016308787562277, 0.02413809205134622, -0.047364570640796876, 0.2332762405402837, 0.11727307781415142, 0.11707298743599297, 0.2282001353273897, 0.18462199124041945, 0.03153386618435869, 0.21749993552625907, -0.12816089924150298, -0.06072542611281793, -0.30562456271044264, -0.12347178232005757, -0.21607833345542135, 0.033803558928649065, -0.06477954776140826, -0.14690597720049403, 0.4217517252545804, 0.13259589224142712, 0.20337349835418814, -0.07509301343942872, 0.29903901459487237, 0.16866334992126844, 0.05401246750767788, 0.0008158759294968585, 0.3574134032849384, 0.17318169368714417, 0.05119540442145713, -0.33825480731447105, 0.0003063026511960703, -0.006703872152644655] |
708.1391 | Geometry and dynamics of higher-spin frame fields | We give a systematic account of unconstrained free bosonic higher-spin fields
on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism.
The generalized spin connections are determined by solving a chain of
torsion-like constraints. Via a generalization of the vielbein postulate these
allow to determine higher-spin Christoffel symbols, whose relation to the de
Wit--Freedman connections is discussed. We prove that the generalized Einstein
equations, despite being of higher-derivative order, give rise to the AdS
Fronsdal equations in the compensator formulation. To this end we derive
Damour-Deser identities for arbitrary spin on AdS. Finally we discuss the
possibility of a geometrical and local action principle, which is manifestly
invariant under unconstrained higher-spin symmetries.
| hep-th | we give a systematic account of unconstrained free bosonic higherspin fields on ddimensional minkowski and antide sitter spaces in the frame formalism the generalized spin connections are determined by solving a chain of torsionlike constraints via a generalization of the vielbein postulate these allow to determine higherspin christoffel symbols whose relation to the de witfreedman connections is discussed we prove that the generalized einstein equations despite being of higherderivative order give rise to the ads fronsdal equations in the compensator formulation to this end we derive damourdeser identities for arbitrary spin on ads finally we discuss the possibility of a geometrical and local action principle which is manifestly invariant under unconstrained higherspin symmetries | [['we', 'give', 'a', 'systematic', 'account', 'of', 'unconstrained', 'free', 'bosonic', 'higherspin', 'fields', 'on', 'ddimensional', 'minkowski', 'and', 'antide', 'sitter', 'spaces', 'in', 'the', 'frame', 'formalism', 'the', 'generalized', 'spin', 'connections', 'are', 'determined', 'by', 'solving', 'a', 'chain', 'of', 'torsionlike', 'constraints', 'via', 'a', 'generalization', 'of', 'the', 'vielbein', 'postulate', 'these', 'allow', 'to', 'determine', 'higherspin', 'christoffel', 'symbols', 'whose', 'relation', 'to', 'the', 'de', 'witfreedman', 'connections', 'is', 'discussed', 'we', 'prove', 'that', 'the', 'generalized', 'einstein', 'equations', 'despite', 'being', 'of', 'higherderivative', 'order', 'give', 'rise', 'to', 'the', 'ads', 'fronsdal', 'equations', 'in', 'the', 'compensator', 'formulation', 'to', 'this', 'end', 'we', 'derive', 'damourdeser', 'identities', 'for', 'arbitrary', 'spin', 'on', 'ads', 'finally', 'we', 'discuss', 'the', 'possibility', 'of', 'a', 'geometrical', 'and', 'local', 'action', 'principle', 'which', 'is', 'manifestly', 'invariant', 'under', 'unconstrained', 'higherspin', 'symmetries']] | [-0.17442963052507457, 0.17394367234885214, -0.09853844982855073, 0.12113585358858947, -0.17337699706859147, -0.13199181352146305, -0.036262010369944885, 0.2990384607844323, -0.19742339072321113, -0.2517847746342152, 0.07952017205146451, -0.22598198061255184, -0.19100053326084135, 0.11067011998756579, -0.07122578913438227, 0.023119940825209424, -0.03254654660804181, 0.08708543818955822, -0.16367594678550623, -0.2886515839302258, 0.36490106101877784, 0.01617079391144216, 0.2678840209620896, 0.005836078290264374, 0.20896245313069975, 0.05102397310169968, -0.048672083895842266, 0.012361325822804158, -0.18939064679121198, 0.13468305500610186, 0.23867808113730438, 0.08798239663503393, 0.1466843362452949, -0.4404597589494409, -0.1942241379366097, 0.09687792706966132, 0.12397129426349525, 0.16892870117255762, 0.005049180056671544, -0.33781781378160186, 0.038225050319221104, -0.15686263081089064, -0.17336279814454583, -0.12332412886206766, -0.01661779523432792, -0.09693509996407204, -0.22317939770810707, 0.093019716089239, 0.07896883570618492, 0.021982897212125804, -0.14801380918508078, -0.04839707300830465, -0.027454005575294163, 0.04403903769950072, 0.08679631501771845, 0.019343289580229704, 0.08379157868146829, -0.1072464352368738, -0.12783524247205202, 0.3677238104487392, -0.04316558994443013, -0.32629972261556023, 0.12394262582424458, -0.11658926134475985, -0.1499878903389447, 0.055679366961624975, 0.13450883590691798, 0.16597652355175432, -0.1884611511754023, 0.21289016172889755, -0.03491668100259057, 0.06029976128604733, 0.1282734654608879, 0.08002934925811919, 0.2663389862187811, 0.015575778536364302, 0.0743416338563301, 0.1906328854058777, 0.04540126089862472, -0.15567536556714126, -0.40578166422274736, -0.1829856507522948, -0.09723119308064515, 0.10429822970580242, -0.14251203235078327, -0.17602753345980435, 0.3446407517972025, 0.1332575605837773, 0.1142552513167732, 0.11927357196140834, 0.1901043486521319, 0.13893791709880782, 0.06441975984017591, 0.04433656753217046, 0.23688426794198988, 0.20645840595023254, 0.0625832129001349, -0.2469884218943834, -0.0918047732321193, 0.20565566612483077] |
708.1392 | Chirality of wave functions for three coalescing levels | The coalescence of three levels has particular attractive features. Even
though it may be difficult to realise such event in the laboratory (three
additional real parameters must be adjusted), to take up the challenge seems
worthwhile. In the same way as the chiral behaviour of a usual EP can give a
direction on a line, the state vectors in the vicinity of an EP3 provide an
orientation in the plane. The distinction between left and right handedness
depends on the distribution of the widths of the three levels in the vicinity
of the point of coalescence.
| quant-ph | the coalescence of three levels has particular attractive features even though it may be difficult to realise such event in the laboratory three additional real parameters must be adjusted to take up the challenge seems worthwhile in the same way as the chiral behaviour of a usual ep can give a direction on a line the state vectors in the vicinity of an ep3 provide an orientation in the plane the distinction between left and right handedness depends on the distribution of the widths of the three levels in the vicinity of the point of coalescence | [['the', 'coalescence', 'of', 'three', 'levels', 'has', 'particular', 'attractive', 'features', 'even', 'though', 'it', 'may', 'be', 'difficult', 'to', 'realise', 'such', 'event', 'in', 'the', 'laboratory', 'three', 'additional', 'real', 'parameters', 'must', 'be', 'adjusted', 'to', 'take', 'up', 'the', 'challenge', 'seems', 'worthwhile', 'in', 'the', 'same', 'way', 'as', 'the', 'chiral', 'behaviour', 'of', 'a', 'usual', 'ep', 'can', 'give', 'a', 'direction', 'on', 'a', 'line', 'the', 'state', 'vectors', 'in', 'the', 'vicinity', 'of', 'an', 'ep3', 'provide', 'an', 'orientation', 'in', 'the', 'plane', 'the', 'distinction', 'between', 'left', 'and', 'right', 'handedness', 'depends', 'on', 'the', 'distribution', 'of', 'the', 'widths', 'of', 'the', 'three', 'levels', 'in', 'the', 'vicinity', 'of', 'the', 'point', 'of', 'coalescence']] | [-0.13969669914028296, 0.11389320345945937, -0.09834298520581797, 0.048694472223966535, -0.05710401403484866, -0.08072248909896491, 0.016540466310592212, 0.37883921165484935, -0.2628930919066382, -0.2885229328506587, 0.08057700395268814, -0.2680757977917286, -0.08020372580601058, 0.17872613496244108, 0.0004123880110758667, -0.008250736020272598, 0.010839629050072594, 0.09500608995616251, -0.06999508981001175, -0.21427825677286214, 0.31000387158322457, 0.03935020744878178, 0.2861715791320118, 0.05892505343945231, 0.07494145365490112, -0.015308438659606812, 0.042212936047387, -0.02109902371982268, -0.0657642693258822, 0.06199828155028323, 0.22098950815658705, 0.08175314608039723, 0.24539015050201365, -0.42549737214964506, -0.15125828833455066, 0.10771731857676059, 0.17949162587562265, 0.09473525753219292, -0.01427075607595422, -0.26774037148546387, 0.059938094860020406, -0.11554926046907592, -0.17390886322633983, -0.03039293154142797, 0.02975543460585565, -0.009082948934519663, -0.22589935287639187, 0.022897180683988456, 0.058595048193334755, 0.024259905466654647, -0.04084572382028758, -0.09871901474737872, -0.03241203082143329, 0.1848757138407867, 0.06699003689815679, 0.03061063172935974, 0.10393107541312929, -0.15355245379760163, -0.10917594566126354, 0.4287096223173042, -0.038403842107072705, -0.22562283369431194, 0.20876234661166868, -0.16757899593843226, -0.11638999352483854, 0.12228231420886004, 0.16244191678803568, 0.09797320810806316, -0.11394461255986243, 0.05886703063454964, -0.02247640787390992, 0.1472886660876611, 0.07393145626944413, 0.004787795619146588, 0.27343990915687755, 0.13968028394689705, 0.05882862713042414, 0.11613224496977637, -0.1293452786630951, -0.08586781442742601, -0.3233567363737772, -0.1512302229142127, -0.1403589075744094, 0.046833605435343394, -0.08017331353509387, -0.16241298039191557, 0.4074731434254015, 0.1567179327745786, 0.28817280813624774, -0.045468488320087395, 0.255042505064921, 0.1173725643105475, 0.05162710027070716, 0.013382919651727812, 0.2984508405594776, 0.07314191413267206, 0.06300457145456069, -0.20020095346262679, 0.11519579758654193, 0.009641008987576546] |
708.1393 | Electric Dipole Moments of Dyon and `Electron' | The electric and magnetic dipole moments of dyon fermions are calculated
within N=2 supersymmetric Yang-Mills theory including the theta-term. It is
found, in particular, that the gyroelectric ratio deviates from the canonical
value of 2 for the monopole fermion (n_m=1,n_e=0) in the case theta\not=0.
Then, applying the S-duality transformation to the result for the dyon
fermions, we obtain an explicit prediction for the electric dipole moment (EDM)
of the charged fermion (`electron'). It is thus seen that the approach
presented here provides a novel method for computing the EDM induced by the
theta-term.
| hep-th | the electric and magnetic dipole moments of dyon fermions are calculated within n2 supersymmetric yangmills theory including the thetaterm it is found in particular that the gyroelectric ratio deviates from the canonical value of 2 for the monopole fermion n_m1n_e0 in the case thetanot0 then applying the sduality transformation to the result for the dyon fermions we obtain an explicit prediction for the electric dipole moment edm of the charged fermion electron it is thus seen that the approach presented here provides a novel method for computing the edm induced by the thetaterm | [['the', 'electric', 'and', 'magnetic', 'dipole', 'moments', 'of', 'dyon', 'fermions', 'are', 'calculated', 'within', 'n2', 'supersymmetric', 'yangmills', 'theory', 'including', 'the', 'thetaterm', 'it', 'is', 'found', 'in', 'particular', 'that', 'the', 'gyroelectric', 'ratio', 'deviates', 'from', 'the', 'canonical', 'value', 'of', '2', 'for', 'the', 'monopole', 'fermion', 'n_m1n_e0', 'in', 'the', 'case', 'thetanot0', 'then', 'applying', 'the', 'sduality', 'transformation', 'to', 'the', 'result', 'for', 'the', 'dyon', 'fermions', 'we', 'obtain', 'an', 'explicit', 'prediction', 'for', 'the', 'electric', 'dipole', 'moment', 'edm', 'of', 'the', 'charged', 'fermion', 'electron', 'it', 'is', 'thus', 'seen', 'that', 'the', 'approach', 'presented', 'here', 'provides', 'a', 'novel', 'method', 'for', 'computing', 'the', 'edm', 'induced', 'by', 'the', 'thetaterm']] | [-0.0904037601380285, 0.20584944207059933, -0.020343466168370745, 0.10244609338848892, -0.027817655820399523, -0.10865787563987238, 0.01136984510294101, 0.3091248983476797, -0.17280402718840734, -0.2963911160654591, -0.015564333257751296, -0.3019559623764666, -0.14030715449126033, 0.14452517592429143, 0.037998753906045436, 0.028086993109394352, -0.0371003555938723, 0.10458726301262884, -0.11431671016211824, -0.20565445767335958, 0.2919707468599486, 0.01891754976089072, 0.2882435953538136, 0.11823962978087366, 0.06542549111232486, 0.016501557390612383, 0.060755348653006164, 0.012797613273901135, -0.07460597916281625, 0.1286928154244695, 0.15593961521011332, 0.0353203509002924, 0.07882185017123171, -0.4239667040579345, -0.14332819789769533, 0.0740131911487602, 0.13075419392376003, 0.15165612569746925, -0.10950564958519586, -0.2934094693526909, 0.06057813561900453, -0.18035285349975785, -0.17845553054939955, -0.13583797637535178, 0.01884963519304343, -0.0630912555573994, -0.37468846907596226, 0.07718290567015135, 0.03612898564998708, 0.019184497276159083, -0.08225693786769862, -0.16742916891867618, -0.022634919935270496, 0.05817000852877517, 0.15839899056489862, 0.10486317748892242, 0.1477397711309807, -0.17334776512744493, -0.13182538791316684, 0.39705067002416955, -0.10550191613805035, -0.2014701604721663, 0.04882830877423934, -0.16586963644595412, -0.1397028652060291, 0.1146358102661274, 0.08303319372277221, 0.1529379336254509, -0.13218998534949092, 0.1838248809945071, -0.08110010778814879, 0.1200073177232812, 0.06399738453277994, -0.02490852527198908, 0.2869575537397, 0.13570743816671893, 0.07119292390289837, 0.13766612741164863, -0.08578697295920194, -0.0865473801589004, -0.3227098731440492, -0.15729230136165154, -0.21606640742918345, 0.07260886828273373, -0.10072596996257704, -0.16358468913392205, 0.37031486785322754, 0.1562755425794698, 0.11216617443689915, 0.01156999434992347, 0.27498778308559535, 0.17190494305332718, 0.08013320333860896, 0.03392041650975285, 0.29295470489634445, 0.16751312030448942, 0.10438561619451756, -0.3121788193112361, -0.08145096758886686, 0.18182438221233693] |
708.1394 | Semiclassical description of the kinematically complete experiments | Based on the semiclassical, impact parameter method a theoretical model is
constructed to calculate totally differential cross sections for single
ionization of helium by impact with fast C$^{6+}$ ions. Good agreement with the
experiment is achieved in the scattering plane, while in the perpendicular
plane a similar structure to that observed experimentally is obtained. The
contribution of different partial waves to the cross section is also
investigated.
| physics.atom-ph | based on the semiclassical impact parameter method a theoretical model is constructed to calculate totally differential cross sections for single ionization of helium by impact with fast c6 ions good agreement with the experiment is achieved in the scattering plane while in the perpendicular plane a similar structure to that observed experimentally is obtained the contribution of different partial waves to the cross section is also investigated | [['based', 'on', 'the', 'semiclassical', 'impact', 'parameter', 'method', 'a', 'theoretical', 'model', 'is', 'constructed', 'to', 'calculate', 'totally', 'differential', 'cross', 'sections', 'for', 'single', 'ionization', 'of', 'helium', 'by', 'impact', 'with', 'fast', 'c6', 'ions', 'good', 'agreement', 'with', 'the', 'experiment', 'is', 'achieved', 'in', 'the', 'scattering', 'plane', 'while', 'in', 'the', 'perpendicular', 'plane', 'a', 'similar', 'structure', 'to', 'that', 'observed', 'experimentally', 'is', 'obtained', 'the', 'contribution', 'of', 'different', 'partial', 'waves', 'to', 'the', 'cross', 'section', 'is', 'also', 'investigated']] | [-0.10242987904739358, 0.10002297024006274, -0.05358273522066536, 0.07438523473162482, -0.0280920732071373, -0.08787926090464218, 0.0026878574376564416, 0.37897419195566606, -0.21698994951239273, -0.27720278020558964, -0.022290178119385645, -0.31423971435027337, -0.0658626480639648, 0.24026797580838538, 0.0522368481563432, 0.07006891396955706, 0.07492495260076291, 0.026138167293158484, -0.05499774732960583, -0.22439760568468317, 0.3069485613186635, 0.11105881962897395, 0.2978115028687822, 0.10469706439927443, 0.10507292033576254, 0.014752059194968263, -0.01385538558016962, 0.037987950966874164, -0.1573286867504392, 0.10148529934265943, 0.24183480372068597, 0.008945146207211178, 0.1220870012966499, -0.42404915826089346, -0.18757795065697005, 0.031491044679406416, 0.13463416528790745, 0.11181685172452299, -0.09327806488770658, -0.24796500672766966, 0.06531003586697712, -0.14633314205861803, -0.15405816196311098, -0.012341219938791064, 0.03839964038039099, 0.011687125453774108, -0.26349847429908063, 0.06636322483919047, -0.01625311513667676, 0.024113306539383397, -0.04749705573655109, -0.12347541379728424, -0.07332122609116581, 0.03259878121177429, 0.028142091288203514, 0.05739093688490397, 0.1311995622827046, -0.07543196495094184, -0.08759717757938736, 0.38456736833079536, -0.11432693206441047, -0.2126568001069462, 0.10035534890771691, -0.21149646238521186, -0.07873690254124466, 0.23360768604134, 0.16015137620826267, 0.11397718074870532, -0.14637641095879503, 0.06338159704525302, -0.03404155870510349, 0.17401783340680066, 0.07326308596156426, -0.04376903443986901, 0.1478391140143373, 0.17558655694627495, -0.009674800226270264, 0.08809461024826143, -0.13090343812633473, -0.11688888919498049, -0.28794824012291076, -0.11296979088072123, -0.10198777644728213, 0.0011319402368989452, -0.023897999103976858, -0.14104616430018152, 0.34437591735440404, 0.11129714538857563, 0.27721472567211447, -0.023650224476969288, 0.3509223043028988, 0.14849829739011797, 0.021071371399978205, -0.0028246149573641927, 0.33585224037906575, 0.20543393747422345, 0.07755164983821337, -0.2349080019708681, 0.10811394701864738, 0.04653256797968452] |
708.1395 | Multiple copy distillation and purification of phase diffused squeezed
states | We provide a detailed theoretical analysis of multiple copy purification and
distillation protocols for phase diffused squeezed states of light. The
standard iterative distillation protocol is generalized to a collective
purification of an arbitrary number of N copies. We also derive a
semi-analytical expression for the asymptotic limit of the iterative
distillation and purification protocol and discuss its properties.
| quant-ph | we provide a detailed theoretical analysis of multiple copy purification and distillation protocols for phase diffused squeezed states of light the standard iterative distillation protocol is generalized to a collective purification of an arbitrary number of n copies we also derive a semianalytical expression for the asymptotic limit of the iterative distillation and purification protocol and discuss its properties | [['we', 'provide', 'a', 'detailed', 'theoretical', 'analysis', 'of', 'multiple', 'copy', 'purification', 'and', 'distillation', 'protocols', 'for', 'phase', 'diffused', 'squeezed', 'states', 'of', 'light', 'the', 'standard', 'iterative', 'distillation', 'protocol', 'is', 'generalized', 'to', 'a', 'collective', 'purification', 'of', 'an', 'arbitrary', 'number', 'of', 'n', 'copies', 'we', 'also', 'derive', 'a', 'semianalytical', 'expression', 'for', 'the', 'asymptotic', 'limit', 'of', 'the', 'iterative', 'distillation', 'and', 'purification', 'protocol', 'and', 'discuss', 'its', 'properties']] | [-0.13409045223399238, 0.155625213342334, -0.1663605997938726, 0.017711813824046088, 0.04187146138589261, -0.22101195369673482, 0.1634475525500158, 0.3407738389984026, -0.2140064187055864, -0.2554556250146006, 0.08580815132068059, -0.23720577419183012, -0.0980027318750587, 0.1561098029971186, -0.07881839631196363, 0.11682257993774237, 0.09204699963299652, 0.010548795775167045, -0.06650217088191944, -0.21045050430664067, 0.2687057205870495, 0.04838482538530193, 0.3270937240548369, 0.04336214308642735, 0.12646446350204238, 0.06272854249514008, -0.0311644661035073, -0.09521515793719534, -0.1422316936528906, 0.08863255688900885, 0.2222438276729594, 0.21425281357714684, 0.21904083913669653, -0.43315299881338065, -0.20459459306893207, 0.1478319022236234, 0.15573658429528192, 0.2304963159169686, -0.06327767883253804, -0.2568727809180095, -0.006110126736684371, -0.25902504328701453, -0.1575739997107599, -0.14857460195356506, -0.03379264948258208, -0.024922659510146765, -0.3004953556425743, 0.04205107265418411, 0.06870398070600073, 0.020801611844513377, 0.022088826837223338, -0.08776944440836876, 0.0388692773215599, 0.11950421247284039, -0.08474322069452096, -0.07553478467309753, 0.15324125393151733, -0.12949824468943022, -0.12317134610424607, 0.25939315686917913, -0.07506093886380984, -0.16354436616776352, 0.12620414956867443, -0.022533318343556534, -0.16512715584456417, 0.08113119543640543, 0.12258263748391705, 0.14215845895646992, -0.14372846018522978, 0.011824572929457398, -0.049393397866416784, 0.1979558811980789, 0.06703287449870575, 0.14644042286485182, 0.07780330509768199, 0.14323107522549267, 0.051724027234555804, 0.2614246745183432, -0.0679419940747952, -0.1261972148381805, -0.3535976800682828, -0.2497605000291083, -0.18459904545886538, 0.07625780302155132, -0.137473238812872, -0.15806649198708267, 0.3979851344000485, 0.09480770708898366, 0.1174017539074234, 0.05500864512208155, 0.37433936724723393, 0.0680412648214122, -0.029628485662199684, 0.08210768523010409, 0.2131416644522194, 0.20655181290487112, 0.02145456677397429, -0.25868516315122025, 0.07483077092664474, 0.08026059238650536] |
708.1396 | Oscillatory behavior of closed isotropic models in second order gravity
theory | Homogeneous and isotropic models are studied in the Jordan frame of the
second order gravity theory. The late time evolution of the models is analysed
with the methods of the dynamical systems. The normal form of the dynamical
system has periodic solutions for a large set of initial conditions. This
implies that an initially expanding closed isotropic universe may exhibit
oscillatory behaviour.
| gr-qc | homogeneous and isotropic models are studied in the jordan frame of the second order gravity theory the late time evolution of the models is analysed with the methods of the dynamical systems the normal form of the dynamical system has periodic solutions for a large set of initial conditions this implies that an initially expanding closed isotropic universe may exhibit oscillatory behaviour | [['homogeneous', 'and', 'isotropic', 'models', 'are', 'studied', 'in', 'the', 'jordan', 'frame', 'of', 'the', 'second', 'order', 'gravity', 'theory', 'the', 'late', 'time', 'evolution', 'of', 'the', 'models', 'is', 'analysed', 'with', 'the', 'methods', 'of', 'the', 'dynamical', 'systems', 'the', 'normal', 'form', 'of', 'the', 'dynamical', 'system', 'has', 'periodic', 'solutions', 'for', 'a', 'large', 'set', 'of', 'initial', 'conditions', 'this', 'implies', 'that', 'an', 'initially', 'expanding', 'closed', 'isotropic', 'universe', 'may', 'exhibit', 'oscillatory', 'behaviour']] | [-0.21051193442526123, 0.14482769587348523, -0.13765437857739837, 0.05967784769112064, 0.0034569718521989643, -0.09584990920003263, -0.08577279955892253, 0.31829384685824474, -0.23543066471334426, -0.23042268309021188, 0.12268142131600349, -0.22794224312829395, -0.1224858129862696, 0.16421246615749213, 0.008259780329441833, 0.032591378151048574, 0.045743834253610866, 0.0836605952354148, -0.11775662940213337, -0.2661551609635353, 0.36953109916442284, 0.025361164668274504, 0.24326233363019362, -0.08432201755743834, 0.08495309695060696, -0.08245758961270293, -0.01114780402501985, 0.05873414645752599, -0.14562160840632127, 0.06351184386820082, 0.17081112162017117, 0.10290531507663188, 0.2588066017976211, -0.431571630971326, -0.24884401680901647, 0.14369007773817546, 0.12930643894228963, 0.12623095694453373, -0.022187859060302857, -0.25950858144149663, 0.055273300262107965, -0.14662207122291288, -0.21936736746330657, -0.026474703073261246, 0.08424899183333881, 0.043997159618283474, -0.2517574338482753, 0.12636353312841347, 0.1016423135663518, 0.03854191548100883, -0.1664140759666841, -0.01554461465510089, -0.02617998070819604, 0.11570814133982264, 0.04216185549739748, 0.0018789240144073001, 0.07578404283201727, -0.12440487432609042, -0.06443499270526151, 0.40238150847219534, -0.12005365949552206, -0.16810548975838407, 0.22599788260788867, -0.17104937642392132, -0.10293189223645435, 0.14550735274585144, 0.16709652342533152, 0.11273883935064077, -0.1798173620726072, 0.15366662165146291, -0.03553313162598398, 0.12343514214960798, 0.05198760866187513, 0.004355576948352879, 0.23835890100247437, 0.17166395930032577, -0.0029783822415817168, 0.1240182580546506, -0.0021310830188374366, -0.13590271668809076, -0.32234180032936555, -0.12204684306597037, -0.1325702372367584, 0.06652199286186407, -0.13657958508115225, -0.24253642464417122, 0.37958313985502407, 0.07404986049626924, 0.15800105921563604, 0.025389902545289406, 0.21618349296641687, 0.1417731047561486, 0.016953480302266056, 0.1009368589673672, 0.26276109587296004, 0.13047662800583507, 0.13052440522944614, -0.21439438937804586, 0.053827618429016684, 0.06332756658535331] |
708.1397 | Diffusion of a ring polymer in good solution via the Brownian dynamics | Diffusion constants D_{R} and D_{L} of ring and linear polymers of the same
molecular weight in a good solvent, respectively, have been evaluated through
the Brownian dynamics with hydrodynamic interaction. The ratio $C=D_{R}/D_{L}$,
which should be universal in the context of the renormalization group, has been
estimated as $C= 1.11 \pm 0.01$ for the large-N limit. It should be consistent
with that of synthetic polymers, while it is smaller than that of DNAs such as
$C \approx 1.3$. Furthermore, the probability of the ring polymer being a
nontrivial knot is found to be very small, while bond crossings may occur at
almost all time steps in the present simulation that realizes the good solvent
conditions.
| cond-mat.soft | diffusion constants d_r and d_l of ring and linear polymers of the same molecular weight in a good solvent respectively have been evaluated through the brownian dynamics with hydrodynamic interaction the ratio cd_rd_l which should be universal in the context of the renormalization group has been estimated as c 111 pm 001 for the largen limit it should be consistent with that of synthetic polymers while it is smaller than that of dnas such as c approx 13 furthermore the probability of the ring polymer being a nontrivial knot is found to be very small while bond crossings may occur at almost all time steps in the present simulation that realizes the good solvent conditions | [['diffusion', 'constants', 'd_r', 'and', 'd_l', 'of', 'ring', 'and', 'linear', 'polymers', 'of', 'the', 'same', 'molecular', 'weight', 'in', 'a', 'good', 'solvent', 'respectively', 'have', 'been', 'evaluated', 'through', 'the', 'brownian', 'dynamics', 'with', 'hydrodynamic', 'interaction', 'the', 'ratio', 'cd_rd_l', 'which', 'should', 'be', 'universal', 'in', 'the', 'context', 'of', 'the', 'renormalization', 'group', 'has', 'been', 'estimated', 'as', 'c', '111', 'pm', '001', 'for', 'the', 'largen', 'limit', 'it', 'should', 'be', 'consistent', 'with', 'that', 'of', 'synthetic', 'polymers', 'while', 'it', 'is', 'smaller', 'than', 'that', 'of', 'dnas', 'such', 'as', 'c', 'approx', '13', 'furthermore', 'the', 'probability', 'of', 'the', 'ring', 'polymer', 'being', 'a', 'nontrivial', 'knot', 'is', 'found', 'to', 'be', 'very', 'small', 'while', 'bond', 'crossings', 'may', 'occur', 'at', 'almost', 'all', 'time', 'steps', 'in', 'the', 'present', 'simulation', 'that', 'realizes', 'the', 'good', 'solvent', 'conditions']] | [-0.1467151378501991, 0.16052497910711458, -0.08885260866219669, 0.0014621849649732834, 0.010465784747921453, -0.18216173479072095, 0.0015651195804310734, 0.40780061796274886, -0.25203323094664437, -0.28631503354725346, 0.09186257452708096, -0.2554853380118546, -0.08632196073743041, 0.16651695674252615, 0.011430607418317282, 0.019655285848369987, 0.047665270196535346, 0.040130100131296274, -0.05273714310922578, -0.21589831021418304, 0.20007808661709228, 0.08573286741024308, 0.2256549631670248, 0.07347517756320406, 0.07063653028269887, -0.05224424543414723, 0.04236771813501898, 0.054279721656552794, -0.17122877977696285, 0.05148703058397299, 0.23790617141384518, -0.011149263609886953, 0.20459915841766224, -0.4034029167235355, -0.19539660152370567, 0.09271448015709195, 0.1882989731568255, 0.08606425602818235, -0.00539924862810917, -0.22252828193616056, 0.12479078530317597, -0.1629266838232676, -0.11878080292923474, -0.03515619880789401, 0.09288232981047609, 0.043658246219836244, -0.23774607915210685, 0.11180164807949934, 0.008498817608740768, 0.08060826763118568, -0.008024817193743953, -0.14608453550190142, -0.07622339852203272, 0.12374696106621343, 0.07646193103497162, 0.07756445226014445, 0.16862498109408638, -0.11331003345549107, -0.06289900588218875, 0.4487859444333273, -0.08407354178052628, -0.16904664147449167, 0.20639365100252785, -0.1649465394173667, -0.12311460244624566, 0.18104803486800702, 0.07680834337390893, 0.09685140205220434, -0.13021477075546914, 0.0954315447475222, -0.07573737543006837, 0.18272011633043325, 0.06940759817269027, 0.00025370216258523755, 0.19162975250040754, 0.1482883362802105, 0.029563579155365005, 0.10452334590668774, -0.07703637441399654, -0.10973690212867632, -0.27614128605458527, -0.19416142562240885, -0.21786735378401845, 0.06841501557235524, -0.16326956800976564, -0.13413282384965242, 0.329394277520151, 0.08695152447366956, 0.2185138149897715, 0.08396516842338697, 0.20274276506531527, 0.09778758229712319, 0.09483913557089277, 0.05650889767301187, 0.24315498600174723, 0.11311756723495037, 0.02752142476751224, -0.21428487951491484, 0.08944497659537949, 0.02970356749893542] |
708.1398 | A covariant approach for perturbations of rotationally symmetric
spacetimes | We present a covariant decomposition of Einstein's Field Equations which is
particularly suitable for perturbations of spherically symmetric -- and general
locally rotationally symmetric -- spacetimes. Based upon the utility of the 1+3
covariant approach to perturbation theory in cosmology, the semi-tetrad, 1+1+2
approach presented here should be useful for analysing perturbations of a
variety of systems in a covariant and gauge-invariant manner. Such applications
range from stellar objects to cosmological models such as the spherically
symmetric Lemaitre-Tolman-Bondi solutions or the class of locally rotationally
symmetric Bianchi models.
| gr-qc | we present a covariant decomposition of einsteins field equations which is particularly suitable for perturbations of spherically symmetric and general locally rotationally symmetric spacetimes based upon the utility of the 13 covariant approach to perturbation theory in cosmology the semitetrad 112 approach presented here should be useful for analysing perturbations of a variety of systems in a covariant and gaugeinvariant manner such applications range from stellar objects to cosmological models such as the spherically symmetric lemaitretolmanbondi solutions or the class of locally rotationally symmetric bianchi models | [['we', 'present', 'a', 'covariant', 'decomposition', 'of', 'einsteins', 'field', 'equations', 'which', 'is', 'particularly', 'suitable', 'for', 'perturbations', 'of', 'spherically', 'symmetric', 'and', 'general', 'locally', 'rotationally', 'symmetric', 'spacetimes', 'based', 'upon', 'the', 'utility', 'of', 'the', '13', 'covariant', 'approach', 'to', 'perturbation', 'theory', 'in', 'cosmology', 'the', 'semitetrad', '112', 'approach', 'presented', 'here', 'should', 'be', 'useful', 'for', 'analysing', 'perturbations', 'of', 'a', 'variety', 'of', 'systems', 'in', 'a', 'covariant', 'and', 'gaugeinvariant', 'manner', 'such', 'applications', 'range', 'from', 'stellar', 'objects', 'to', 'cosmological', 'models', 'such', 'as', 'the', 'spherically', 'symmetric', 'lemaitretolmanbondi', 'solutions', 'or', 'the', 'class', 'of', 'locally', 'rotationally', 'symmetric', 'bianchi', 'models']] | [-0.13214766510848908, 0.07237337963915495, -0.10795046764880765, 0.07496018398710158, -0.11531336902272563, -0.12990065846527213, -0.10218819511680712, 0.3538754544285841, -0.19042763841706653, -0.22804729146666305, 0.10840805495417742, -0.18676398748120424, -0.14825493309830942, 0.14301838047753715, -0.038030672141589054, 0.05352912649246972, -0.03021601766217933, 0.009259765816116056, -0.11500615685458057, -0.22038614624288194, 0.43673953310543195, 0.04052785832738114, 0.24710115601395277, -0.05833728275218502, 0.0899572478184953, -0.01897253619701883, -0.056330493338971915, 0.08378513395613016, -0.13309957504239972, 0.10614648984398606, 0.25115047087075615, 0.13566212554808793, 0.2128799972882451, -0.38996500757977715, -0.2618274120505639, 0.10615311614995779, 0.0922059183507118, 0.21980525470246712, -0.09847497680700969, -0.3463149648592916, 0.08997641074969324, -0.2477127043530345, -0.18498355041929457, -0.12108728050275944, 0.06944808073823752, -0.025441531238124468, -0.27576345950365067, 0.1399849186499798, 0.03047948755624401, -0.001328649551629327, -0.15701263015656625, -0.06228587398343438, -0.015561147842036431, 0.013980783026687107, 0.024526239529815176, 0.010471699177287519, 0.1368835414434935, -0.09522118926221548, -0.08633059739719989, 0.46961933699284875, -0.12407180606279263, -0.27356850182594256, 0.12544163146738482, -0.12731651984545034, -0.15121114453798984, 0.06219822788870959, 0.18667748415041283, 0.2724620585741345, -0.2052155179729642, 0.1613276423818735, -0.009881836990284365, 0.10434938597406239, 0.06031909701955873, 0.018215275670775365, 0.3012416728577295, 0.048239113451631434, 0.04372068350528215, 0.08251971915921975, 0.02587371272424799, -0.1590318321758004, -0.3815857117865668, -0.10587186925654668, -0.12303413530313519, 0.11991491258620869, -0.14313971214395743, -0.22752074035274428, 0.3777275009968773, 0.08650409277301109, 0.06868456373922527, 0.0748350056724861, 0.2312840289154718, 0.05979475397264671, 0.02155285679496998, 0.10167724903954496, 0.24117893467895513, 0.21510869038269617, 0.09860112720716008, -0.14052523456806273, -0.061986122345335265, 0.05208174817177445] |
708.1399 | Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic
Vertex | We apply a recently presented BRST procedure to construct the Largangian
cubic vertex of higher-spin gauge field triplets interacting with massive free
scalars. In flat space, the spin-s triplet propagates the series of irreducible
spin-s, s-2,..,0/1 modes which couple independently to corresponding conserved
currents constructed from the scalars. The simple covariantization of the flat
space result is not enough in AdS, as new interaction vertices appear. We
present in detail the cases of spin-2 and spin-3 triplets coupled to scalars.
Restricting to a single irreducible spin-s mode we uncover previously obtained
results. We also present an alternative derivation of the lower spin results
based on the idea that higher-spin gauge fields arise from the gauging of
higher derivative symmetries of free matter Lagrangians. Our results can be
readily applied to holographic studies of higher-spin gauge theories.
| hep-th | we apply a recently presented brst procedure to construct the largangian cubic vertex of higherspin gauge field triplets interacting with massive free scalars in flat space the spins triplet propagates the series of irreducible spins s201 modes which couple independently to corresponding conserved currents constructed from the scalars the simple covariantization of the flat space result is not enough in ads as new interaction vertices appear we present in detail the cases of spin2 and spin3 triplets coupled to scalars restricting to a single irreducible spins mode we uncover previously obtained results we also present an alternative derivation of the lower spin results based on the idea that higherspin gauge fields arise from the gauging of higher derivative symmetries of free matter lagrangians our results can be readily applied to holographic studies of higherspin gauge theories | [['we', 'apply', 'a', 'recently', 'presented', 'brst', 'procedure', 'to', 'construct', 'the', 'largangian', 'cubic', 'vertex', 'of', 'higherspin', 'gauge', 'field', 'triplets', 'interacting', 'with', 'massive', 'free', 'scalars', 'in', 'flat', 'space', 'the', 'spins', 'triplet', 'propagates', 'the', 'series', 'of', 'irreducible', 'spins', 's201', 'modes', 'which', 'couple', 'independently', 'to', 'corresponding', 'conserved', 'currents', 'constructed', 'from', 'the', 'scalars', 'the', 'simple', 'covariantization', 'of', 'the', 'flat', 'space', 'result', 'is', 'not', 'enough', 'in', 'ads', 'as', 'new', 'interaction', 'vertices', 'appear', 'we', 'present', 'in', 'detail', 'the', 'cases', 'of', 'spin2', 'and', 'spin3', 'triplets', 'coupled', 'to', 'scalars', 'restricting', 'to', 'a', 'single', 'irreducible', 'spins', 'mode', 'we', 'uncover', 'previously', 'obtained', 'results', 'we', 'also', 'present', 'an', 'alternative', 'derivation', 'of', 'the', 'lower', 'spin', 'results', 'based', 'on', 'the', 'idea', 'that', 'higherspin', 'gauge', 'fields', 'arise', 'from', 'the', 'gauging', 'of', 'higher', 'derivative', 'symmetries', 'of', 'free', 'matter', 'lagrangians', 'our', 'results', 'can', 'be', 'readily', 'applied', 'to', 'holographic', 'studies', 'of', 'higherspin', 'gauge', 'theories']] | [-0.13660855522142973, 0.22433385732872568, -0.05274921253500784, 0.07397788055258483, -0.1551948267681552, -0.1466107176575087, -0.04030797658707519, 0.34816527249180335, -0.166201186974519, -0.257440921893941, 0.02310889636586879, -0.2606287333739004, -0.12734634203683418, 0.11324646817728766, -0.0010297377698067853, -0.035307356048681175, 0.0048945918053722205, 0.0773329359458398, -0.08361366690560453, -0.30601715692666487, 0.33618039643765973, -0.012963526197639642, 0.2532763762343953, -0.004265585104559562, 0.1354368834638162, 0.0378141403024488, 0.0009452140987364214, -0.026368468041947556, -0.13415181969359574, 0.13103357421359352, 0.2439392902545193, 0.04904283059469021, 0.10444395243426535, -0.4341701744680307, -0.20179241310471474, 0.10074671829439033, 0.1786451486439736, 0.19652728171612538, -0.05231807836585108, -0.32478810788424156, 0.02491752957619393, -0.185046447322829, -0.17974431871057753, -0.1187284769188029, -0.055368376505707126, -0.10939590559243711, -0.26145936973365164, 0.10001514004452203, 0.03185281536712158, 0.027840566002145243, -0.0795586991902274, -0.10324036545092379, -0.1128856394658866, 0.06730102801195054, 0.12569625699135073, 0.03244801504370659, 0.12199429583513359, -0.1530929248112796, -0.17502032519220861, 0.3399945955424667, -0.11154344831523832, -0.26557426818007074, 0.21145410377900603, -0.14176909331538118, -0.18546749470727658, 0.10449862211521917, 0.1202750273062778, 0.1853867839490161, -0.16387198005677828, 0.17345307822254097, -0.03827664115702483, 0.10516925940790506, 0.05414997090224121, 0.055855043107337916, 0.26538001393913224, 0.047534106678934075, 0.03394620366300693, 0.1657582186032156, 0.01364621063242597, -0.09064437373319324, -0.4023064233696283, -0.16017333732799752, -0.1610577951483828, 0.05040640689082072, -0.09250559204042134, -0.13124871677460598, 0.40976181786868776, 0.15552921036133238, 0.1458699189182093, 0.04272371839728457, 0.18531020983720004, 0.10893913135697036, 0.13875962591924662, 0.037364924594120524, 0.24247180247234543, 0.2066790815373299, 0.035240613309833316, -0.2137303435901326, -0.1724015548134591, 0.13028287362140506] |
708.14 | Remarks on $\eta$-Einstein unit tangent bundles | We study the geometric properties of the base manifold for the unit tangent
bundle satisfying the $\eta$-Einstein condition with the standard contact
metric structure. One of the main theorems is that the unit tangent bundle of
4-dimensional Einstein manifold, equipped with the canonical contact metric
structure, is $\eta$-Einstein manifold if and only if base manifold is the
space of constant sectional curvature 1 or 2.
| math.DG | we study the geometric properties of the base manifold for the unit tangent bundle satisfying the etaeinstein condition with the standard contact metric structure one of the main theorems is that the unit tangent bundle of 4dimensional einstein manifold equipped with the canonical contact metric structure is etaeinstein manifold if and only if base manifold is the space of constant sectional curvature 1 or 2 | [['we', 'study', 'the', 'geometric', 'properties', 'of', 'the', 'base', 'manifold', 'for', 'the', 'unit', 'tangent', 'bundle', 'satisfying', 'the', 'etaeinstein', 'condition', 'with', 'the', 'standard', 'contact', 'metric', 'structure', 'one', 'of', 'the', 'main', 'theorems', 'is', 'that', 'the', 'unit', 'tangent', 'bundle', 'of', '4dimensional', 'einstein', 'manifold', 'equipped', 'with', 'the', 'canonical', 'contact', 'metric', 'structure', 'is', 'etaeinstein', 'manifold', 'if', 'and', 'only', 'if', 'base', 'manifold', 'is', 'the', 'space', 'of', 'constant', 'sectional', 'curvature', '1', 'or', '2']] | [-0.24536028948540872, 0.04055775014970165, -0.04134279718765846, 0.04858695165289996, -0.18207623703548542, -0.2036454325971695, -0.06190080497986995, 0.3863675689468017, -0.276109453141152, -0.18032441759625306, 0.10716630970486081, -0.2767722155755529, -0.19562758275021155, 0.1040227184466158, -0.1090710516875753, -0.020762697463998427, 0.08050954644210064, 0.1974997334038982, -0.13326786185901326, -0.2327637736291553, 0.5848569910113628, 0.04930862732804739, 0.2515847181328214, 0.05960679106736699, 0.23263303700547952, -0.02425239667153129, 0.08721655449615075, 0.05574660346297046, -0.15292147068864254, 0.11493191935408574, 0.1514542473265185, 0.11088808385941845, 0.18717781085735904, -0.3758391905002869, -0.20952456070540043, 0.16142660417379096, 0.030418895815427487, -0.09217646945841038, 0.05512495279455414, -0.26777614395922195, 0.13647873754447434, -0.024790386053232045, -0.18835210868945487, -0.04576924215429104, -0.006957551263845884, -0.041467583584241, -0.1713968593430204, -0.0406598917566813, 0.12592960320986235, 0.06244976180963791, -0.14119007974289932, -0.058125919117950474, -0.11040308058548431, 0.10142800627777783, 0.042271753676378955, 0.1342224515007379, 0.1625862864132684, -0.01582633795646521, -0.05771557092666626, 0.3810492784357988, -0.13652500078941768, -0.3535688341810153, 0.05456438511610031, -0.17968703883771714, -0.10940162320979513, 0.13561782779601905, 0.09734557612011066, 0.16893737582633128, -0.03938192935982862, 0.2111511332117236, -0.04481618031859398, 0.09963480569422245, 0.08583586707424659, -0.046696425043046476, 0.12569638026448396, 0.15526476410719064, 0.16536343657913116, 0.05441967833500642, -0.07910865005105734, -0.1240746814184464, -0.39139526302997885, -0.3021197506154959, -0.1499396832812076, 0.2136219719138283, -0.1949245695309051, -0.16814056726602408, 0.3202674994316812, -0.08719035252355613, 0.25832379562063856, 0.11302199106878386, 0.3064045761353694, -0.005399364132720691, 0.06592505586047012, 0.11145217472400804, 0.2266031756137426, 0.2384985253214836, 0.025005211165318123, -0.08459330102285513, -0.0665514506972753, 0.1394587261459002] |
708.1401 | Data selection and confounding in the court case of Lucia de Berk | The nurse Lucia de Berk was convicted by the Dutch courts as a serial killer
with 7 murders and 3 attempts at murder in three hospitals where she worked.
The nurse however always professed her innocence and indeed was never observed
in such an act of murder. The courts based their decision on circumstantial
evidence and upon the use of statistics. In the appeal court, the use of
statistical calculations was repealed but the use of "data" and "statistical
insights" were not excluded. The trial hinged importantly on the role of
statistics and data gathering. It appears that data selection and confounding
feature strongly in this case. The notion of "nominal correlation" can be used
to highlight those two features. This suggests a mistrial with the conviction
of an innocent person.
| stat.AP | the nurse lucia de berk was convicted by the dutch courts as a serial killer with 7 murders and 3 attempts at murder in three hospitals where she worked the nurse however always professed her innocence and indeed was never observed in such an act of murder the courts based their decision on circumstantial evidence and upon the use of statistics in the appeal court the use of statistical calculations was repealed but the use of data and statistical insights were not excluded the trial hinged importantly on the role of statistics and data gathering it appears that data selection and confounding feature strongly in this case the notion of nominal correlation can be used to highlight those two features this suggests a mistrial with the conviction of an innocent person | [['the', 'nurse', 'lucia', 'de', 'berk', 'was', 'convicted', 'by', 'the', 'dutch', 'courts', 'as', 'a', 'serial', 'killer', 'with', '7', 'murders', 'and', '3', 'attempts', 'at', 'murder', 'in', 'three', 'hospitals', 'where', 'she', 'worked', 'the', 'nurse', 'however', 'always', 'professed', 'her', 'innocence', 'and', 'indeed', 'was', 'never', 'observed', 'in', 'such', 'an', 'act', 'of', 'murder', 'the', 'courts', 'based', 'their', 'decision', 'on', 'circumstantial', 'evidence', 'and', 'upon', 'the', 'use', 'of', 'statistics', 'in', 'the', 'appeal', 'court', 'the', 'use', 'of', 'statistical', 'calculations', 'was', 'repealed', 'but', 'the', 'use', 'of', 'data', 'and', 'statistical', 'insights', 'were', 'not', 'excluded', 'the', 'trial', 'hinged', 'importantly', 'on', 'the', 'role', 'of', 'statistics', 'and', 'data', 'gathering', 'it', 'appears', 'that', 'data', 'selection', 'and', 'confounding', 'feature', 'strongly', 'in', 'this', 'case', 'the', 'notion', 'of', 'nominal', 'correlation', 'can', 'be', 'used', 'to', 'highlight', 'those', 'two', 'features', 'this', 'suggests', 'a', 'mistrial', 'with', 'the', 'conviction', 'of', 'an', 'innocent', 'person']] | [-0.05590040327873654, 0.0666586829602378, -0.12207836301352543, 0.11211926360757878, -0.10391684815001029, -0.1496316488688955, 0.08553310424590913, 0.34649281539022925, -0.1899098257211825, -0.33241587137946715, 0.14162599564207576, -0.31620381369900247, -0.14516088847751515, 0.16489208835499505, -0.10938908377160819, 0.009458198605212742, 0.03100296651872878, 0.05969097891535897, 0.025911032209674327, -0.2976806013629987, 0.2812571528331878, 0.08896264396630263, 0.3019537694608936, 0.0318683474118678, 0.07574397766908918, 0.05063445640799518, -0.06225497620001149, -0.011467350139999046, -0.08658572549494029, 0.08952067258696143, 0.2810214144607576, 0.189920678244044, 0.34172470486507966, -0.4011012589272398, -0.14118246470506374, 0.07504508092712897, 0.09688733633464346, 0.08805216628198441, -0.012644346995959775, -0.297853219422261, 0.027473235961336356, -0.16971472196231704, -0.077475728531583, -0.034528723355190145, 0.002477177705329198, -0.01845081406018625, -0.21898235933174595, 0.060200470435218166, 0.07830587888423067, 0.09736160786163124, -0.03389485525683715, -0.13387612694193823, -0.04183882179204375, 0.15256755880724926, 0.06373724937618065, 0.023680105748084875, 0.1117829215972541, -0.13023767936258362, -0.16571059691173454, 0.36566851359720415, -0.001638486093053451, -0.152982501194884, 0.184399331322101, -0.1237497519594259, -0.18104152257840794, 0.07653904716269327, 0.10925790441150848, 0.06755296520781345, -0.14075074971008758, 0.023671269595014074, -0.04749297636310355, 0.16445857891454718, 0.08841472996685368, -0.04726843981143947, 0.19606872819937193, 0.13115446650996232, -0.0034351246144909125, 0.0697692766561746, -0.0960222863771308, -0.07316567277392516, -0.2236064267434323, -0.15357127191785436, -0.15493499932882304, 0.028019101738755124, -0.04326473221276851, -0.1323730517608615, 0.3319476642932456, 0.16365923831024423, 0.16691673518373415, 0.01873574150690379, 0.22000502742325456, 0.030973309327740794, 0.09016246694999819, 0.0628588268497529, 0.24115187145339756, 0.028423011138175542, 0.1358296772894951, -0.17529913936383448, 0.15446294630215002, -0.01564658563584089] |
708.1402 | Evolution of Compact-Binary Populations in Globular Clusters: A
Boltzmann Study. I. The Continuous Limit | We explore a Boltzmann scheme for studying the evolution of compact binary
populations of globular clusters. We include processes of compact-binary
formation by tidal capture and exchange encounters, binary destruction by
dissociation and other mechanisms, and binary hardening by encounters,
gravitational radiation and magnetic braking, as also the orbital evolution
during mass transfer, following Roche lobe contact. For the encounter processes
which are stochastic in nature, we study the probabilistic, continuous limit in
this introductory work, deferring the specific handling of the stochastic terms
to the next step. We focus on the evolution of (a) the number of X-ray sources
N_{XB} in globular clusters, and (b) the orbital-period distribution of the
X-ray binaries, as a result of the above processes. We investigate the
dependence of N_{XB} on two essential cluster properties, namely, the star-star
and star-binary encounter-rate parameters 'Gamma' and 'gamma', which we call
Verbunt parameters. We compare our model results with observation, showing that
the model values of N_{XB} and their expected scaling with the Verbunt
parameters are in good agreement with results from recent X-ray observations of
Galactic globular clusters, encouraging us to build more detailed models.
| astro-ph | we explore a boltzmann scheme for studying the evolution of compact binary populations of globular clusters we include processes of compactbinary formation by tidal capture and exchange encounters binary destruction by dissociation and other mechanisms and binary hardening by encounters gravitational radiation and magnetic braking as also the orbital evolution during mass transfer following roche lobe contact for the encounter processes which are stochastic in nature we study the probabilistic continuous limit in this introductory work deferring the specific handling of the stochastic terms to the next step we focus on the evolution of a the number of xray sources n_xb in globular clusters and b the orbitalperiod distribution of the xray binaries as a result of the above processes we investigate the dependence of n_xb on two essential cluster properties namely the starstar and starbinary encounterrate parameters gamma and gamma which we call verbunt parameters we compare our model results with observation showing that the model values of n_xb and their expected scaling with the verbunt parameters are in good agreement with results from recent xray observations of galactic globular clusters encouraging us to build more detailed models | [['we', 'explore', 'a', 'boltzmann', 'scheme', 'for', 'studying', 'the', 'evolution', 'of', 'compact', 'binary', 'populations', 'of', 'globular', 'clusters', 'we', 'include', 'processes', 'of', 'compactbinary', 'formation', 'by', 'tidal', 'capture', 'and', 'exchange', 'encounters', 'binary', 'destruction', 'by', 'dissociation', 'and', 'other', 'mechanisms', 'and', 'binary', 'hardening', 'by', 'encounters', 'gravitational', 'radiation', 'and', 'magnetic', 'braking', 'as', 'also', 'the', 'orbital', 'evolution', 'during', 'mass', 'transfer', 'following', 'roche', 'lobe', 'contact', 'for', 'the', 'encounter', 'processes', 'which', 'are', 'stochastic', 'in', 'nature', 'we', 'study', 'the', 'probabilistic', 'continuous', 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'galactic', 'globular', 'clusters', 'encouraging', 'us', 'to', 'build', 'more', 'detailed', 'models']] | [-0.09269218573841961, 0.11844541803347292, -0.07970355082242922, 0.1198061935316584, -0.08077517743271692, -0.03895070888446989, 0.08048118437485148, 0.38740727591214985, -0.22259922532325305, -0.3346063696173212, 0.05064849692480589, -0.27950464878921155, -0.12143833731195185, 0.22301290280841016, -0.011810807535848605, 0.011175968279651238, 0.11760902711899862, -0.028825860864743983, -0.05000195558251882, -0.2330230839363245, 0.35937693376998325, 0.08800072622517488, 0.1540591069324701, -0.01278864862963991, 0.06443409202866769, 0.027749410507678197, -0.047492725693339864, -0.030853135644325187, -0.17327835885137252, 0.08280015728780113, 0.19205638907244074, 0.10264556994846476, 0.20910958644180072, -0.39418994910798216, -0.24058210731560375, 0.057517204420128594, 0.14031417764724533, 0.06371850499553143, -0.06320532447100732, -0.23845913666657728, 0.05769253893208409, 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708.1403 | Four-dimensional almost Hermitian manifolds with vanishing
Tricerri-Vanhecke Bochner curvature tensor | We study curvature properties of four-dimensional almost Hermitian manifolds
with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. We
give local structure theorems for such Kaehler manifolds, and find out several
examples related to the theorems.
| math.DG | we study curvature properties of fourdimensional almost hermitian manifolds with vanishing bochner curvature tensor as defined by tricerri and vanhecke we give local structure theorems for such kaehler manifolds and find out several examples related to the theorems | [['we', 'study', 'curvature', 'properties', 'of', 'fourdimensional', 'almost', 'hermitian', 'manifolds', 'with', 'vanishing', 'bochner', 'curvature', 'tensor', 'as', 'defined', 'by', 'tricerri', 'and', 'vanhecke', 'we', 'give', 'local', 'structure', 'theorems', 'for', 'such', 'kaehler', 'manifolds', 'and', 'find', 'out', 'several', 'examples', 'related', 'to', 'the', 'theorems']] | [-0.17829694510682634, 0.06816858170848143, -0.04628398601504925, 0.14546928900343023, -0.10479692462831736, -0.15876768671564365, -0.09211069433704804, 0.3574172217202814, -0.22576694082664817, -0.20442984341398665, 0.16197136571434767, -0.2728772574153386, -0.24129705802586518, 0.1745349818742589, -0.10634556298732366, 0.03853556528491409, 0.008929678312453785, 0.0487206301798946, -0.16094325705872556, -0.28391411934219496, 0.5042106366079104, -0.001034602228748171, 0.19072595867941058, 0.15103013280436003, 0.11998511049406309, -0.01768447388894856, -0.06712944760281396, 0.03374206924222802, -0.2386560268504055, 0.08010641289384741, 0.27532518694275304, 0.0473010780681905, 0.137019399535156, -0.38303638385657807, -0.1955783733237216, 0.19536120749666894, 0.04222125174036544, 0.011560146108661828, -0.0035161803978936454, -0.32079190461847346, 0.09480395169291449, -0.04834766281572612, -0.2316277176999536, -0.24572702509498126, -0.029883535621736786, -0.012453495212340434, -0.1528158826266391, 0.08805936334752723, 0.1556059626715356, 0.0755394033989624, -0.11357039823441913, -0.14332076791968001, -0.08144662379728336, 0.07428830227275428, 0.08556068492563147, -0.021056649170962994, 0.12544731528645284, -0.03588473581169781, -0.14440774138232595, 0.2905324215167447, -0.13242277522620402, -0.2704925724905671, 0.053712462497826075, -0.06107889514073337, -0.1673331765310937, 0.04191878637740094, 0.10876705281828579, 0.21191354086132427, -0.07813493939465843, 0.1746257837635073, -0.02189382599470647, -0.02185188018177685, 0.1513465533376132, 0.07548586472770885, 0.10976837574210214, -0.0010213860721131297, 0.15764709919887154, 0.15881586280700408, 0.03161065923785301, -0.1326418623426243, -0.35841397274481623, -0.19503844487725905, -0.13697324738543676, 0.27292296991340426, -0.18507531035222774, -0.24042556738775028, 0.3906819602768672, -0.03489004832839495, 0.20237957360376113, 0.16330845933407545, 0.19819005720905566, -0.0022561423462129347, 0.05444690815516209, 0.11852405090375166, 0.23970232536330036, 0.3468184102093801, 0.07302590243910488, -0.06762298070335467, -0.15129779292711695, 0.19407561097882295] |
708.1404 | Unparticle constraints from SN1987A | The existence of an unparticle sector, weakly coupled to the standard model,
would have a profound impact on supernova (SN) physics. Emission of energy into
the unparticle sector from the core of SN1987A would have significantly
shortened the observed neutrino burst. The unparticle interaction with
nucleons, neutrinos, electrons and muons is constrained to be so weak that it
is unlikely to provide any missing-energy signature at colliders. One important
exception are models where scale invariance in the hidden sector is broken by
the Higgs vacuum expectation value. In this case the SN emission is suppressed
by threshold effects.
| hep-ph astro-ph | the existence of an unparticle sector weakly coupled to the standard model would have a profound impact on supernova sn physics emission of energy into the unparticle sector from the core of sn1987a would have significantly shortened the observed neutrino burst the unparticle interaction with nucleons neutrinos electrons and muons is constrained to be so weak that it is unlikely to provide any missingenergy signature at colliders one important exception are models where scale invariance in the hidden sector is broken by the higgs vacuum expectation value in this case the sn emission is suppressed by threshold effects | [['the', 'existence', 'of', 'an', 'unparticle', 'sector', 'weakly', 'coupled', 'to', 'the', 'standard', 'model', 'would', 'have', 'a', 'profound', 'impact', 'on', 'supernova', 'sn', 'physics', 'emission', 'of', 'energy', 'into', 'the', 'unparticle', 'sector', 'from', 'the', 'core', 'of', 'sn1987a', 'would', 'have', 'significantly', 'shortened', 'the', 'observed', 'neutrino', 'burst', 'the', 'unparticle', 'interaction', 'with', 'nucleons', 'neutrinos', 'electrons', 'and', 'muons', 'is', 'constrained', 'to', 'be', 'so', 'weak', 'that', 'it', 'is', 'unlikely', 'to', 'provide', 'any', 'missingenergy', 'signature', 'at', 'colliders', 'one', 'important', 'exception', 'are', 'models', 'where', 'scale', 'invariance', 'in', 'the', 'hidden', 'sector', 'is', 'broken', 'by', 'the', 'higgs', 'vacuum', 'expectation', 'value', 'in', 'this', 'case', 'the', 'sn', 'emission', 'is', 'suppressed', 'by', 'threshold', 'effects']] | [-0.07036526582907049, 0.25732272756134505, -0.05654222699718512, 0.20330569625010106, -0.1289644737072213, -0.17784412763775231, -0.00747961376090439, 0.3240716634793397, -0.22565889767756, -0.28785995030015404, 0.026927252007857422, -0.32120556667523115, -0.018533953997705663, 0.11693108590006145, 0.07579413816636922, -0.02629837125292694, 0.07701316909693486, 0.01665908669635929, -0.015927513821373637, -0.24826399915452516, 0.33109001168382485, 0.14283246652470255, 0.22438942717521318, 0.09848449807328989, 0.05066521091942618, -0.056084126588052174, 0.028196050528893058, -0.06460068189558021, -0.06026838713467218, 0.03907308034712867, 0.16620761401211392, 0.11418710511690956, 0.14028217489546052, -0.39690632015770794, -0.23525915083912563, 0.19033794775985333, 0.1650343417209022, 0.08819276603813074, -0.0561884102145476, -0.33740087983207967, 0.04824265921773503, -0.20426845252371337, -0.13483063277446342, 0.011929870858712464, -0.04112517044936516, -0.10769724041907763, -0.26399959668003936, 0.09896999461652368, -0.025458190548566302, -0.017796998843550682, 0.005329884717012851, -0.1137259879062779, -0.03675089176383098, 0.0009361021648332172, 0.1755309427615578, 0.022920630838394126, 0.15779635777497397, -0.1985769447637722, -0.10181075272421182, 0.44236948276508825, -0.09789715758857451, -0.12353415353632323, 0.17830954493280043, -0.1914492528885603, -0.15249201753271782, 0.19136819256260534, 0.16663864473527185, 0.02875236171886933, -0.15321836391539903, 0.15199352288559287, -0.05875713105446526, 0.18463038333824702, 0.008352412267264967, 0.08220505648702728, 0.29104224045057686, 0.18555016565725815, 0.06634454024784571, 0.0504558245516002, -0.09435208245864785, -0.03473570603848796, -0.35771056364423465, -0.08825955069528854, -0.12990323103470158, 0.11982247968589203, -0.059004366815854005, -0.09043895858054866, 0.37042059026164365, 0.12454968131128319, 0.1730368313859502, -0.04893009027950846, 0.2722465861398651, 0.1189521582350515, 0.12632276972622744, 0.06712161908306334, 0.3889985678394382, 0.11881965224046678, 0.11446560949220189, -0.22871483226392267, 0.07898316622179534, 0.0654228067082562] |
708.1405 | Determination of the magnetic susceptibility of the quark condensate
using radiative heavy meson decays | We use a light-cone sum rule (LCSR) analysis of the branching ratios of
radiative meson decays to contrain the value of the magnetic susceptibility of
the quark condensate $\chi(\mu)$. For the first time, we use a complete set of
three-particle distribution amplitudes that enables us to give a consistent
prediction for the branching ratios. Furthermore we will make use of a very
recent update of several non-perturbative parameters. Our final result for
$\chi(\mu= 1 {\rm GeV})= 2.85 \pm 0.5 {\rm GeV}^{-2}$ (assuming asymptotic wave
functions) agrees with the currently used value of $3.15 \pm 0.3 {\rm
GeV}^{-2}$.
| hep-ph | we use a lightcone sum rule lcsr analysis of the branching ratios of radiative meson decays to contrain the value of the magnetic susceptibility of the quark condensate chimu for the first time we use a complete set of threeparticle distribution amplitudes that enables us to give a consistent prediction for the branching ratios furthermore we will make use of a very recent update of several nonperturbative parameters our final result for chimu 1 rm gev 285 pm 05 rm gev2 assuming asymptotic wave functions agrees with the currently used value of 315 pm 03 rm gev2 | [['we', 'use', 'a', 'lightcone', 'sum', 'rule', 'lcsr', 'analysis', 'of', 'the', 'branching', 'ratios', 'of', 'radiative', 'meson', 'decays', 'to', 'contrain', 'the', 'value', 'of', 'the', 'magnetic', 'susceptibility', 'of', 'the', 'quark', 'condensate', 'chimu', 'for', 'the', 'first', 'time', 'we', 'use', 'a', 'complete', 'set', 'of', 'threeparticle', 'distribution', 'amplitudes', 'that', 'enables', 'us', 'to', 'give', 'a', 'consistent', 'prediction', 'for', 'the', 'branching', 'ratios', 'furthermore', 'we', 'will', 'make', 'use', 'of', 'a', 'very', 'recent', 'update', 'of', 'several', 'nonperturbative', 'parameters', 'our', 'final', 'result', 'for', 'chimu', '1', 'rm', 'gev', '285', 'pm', '05', 'rm', 'gev2', 'assuming', 'asymptotic', 'wave', 'functions', 'agrees', 'with', 'the', 'currently', 'used', 'value', 'of', '315', 'pm', '03', 'rm', 'gev2']] | [-0.10616980201790359, 0.16235922149276918, -0.09195851356261554, 0.09161945380577721, -0.07050214680967871, -0.0455073508885257, 0.12208011527137697, 0.34645938808002424, -0.131941159524638, -0.2527265767806891, 0.013572022059605908, -0.2869711270767082, 0.02810519719592382, 0.17958481373630233, 0.04978740954598815, 0.10186778260490943, 0.06064143557504741, 0.017678499485836507, -0.12175794877832007, -0.1764783763048268, 0.26424685842597606, -0.0005202875808649457, 0.22369540898014129, 0.09935218932049483, 0.06593252738251246, 0.023625869953227182, -0.01812894812775488, -0.07708922549890182, -0.21514661117859207, 0.05821692567683526, 0.1897389727240169, 0.10372367342838, 0.15389363168133902, -0.29990737913080406, -0.06636830856399514, 0.11683850598607942, 0.17643994907128444, 0.07388702870740257, 0.04193008230211809, -0.25014171899613186, 0.10671816142179917, -0.21501698552333204, -0.1559473315887537, -0.08204324984054091, 0.04523817688639554, -0.042428671423172984, -0.38610270279507664, 0.14568842652724268, -0.06717463525146553, 0.016722918248053678, -0.044577087014049444, -0.25895409993155255, -0.01326570017071268, 0.05491547783855925, 0.07347861213667184, 0.14004800133119077, 0.12876103399321437, -0.1164916193439174, -0.12119843576765936, 0.38508943078280955, -0.10224044622046892, -0.1315234914882896, 0.07786612608710054, -0.19687982848317354, -0.16459450981166868, 0.1815969662203156, 0.17717681029216223, 0.1251254245217592, -0.14412223889982118, 0.04624846020290993, -0.05467232297514878, 0.22265598777028703, 0.06621168291714695, 0.031910002526836755, 0.19254780767159058, 0.1579950558472924, -0.021290387257395946, 0.047632998700455294, -0.12362943721224659, -0.05887263332080749, -0.38504828318723083, -0.11453828105184528, -0.08430168573197323, 0.15679005446250324, -0.1498697382954823, -0.08826953602700312, 0.349947758585445, 0.16301411144032152, 0.2869660718529725, 0.13996767390221743, 0.26810119001521276, 0.12893236189442758, 0.051951809759256576, 0.07566731212871898, 0.28165558703752597, 0.23577835766080113, 0.13803515864661284, -0.22392244130785854, -0.009993097292422558, 0.03269172314861693] |
708.1406 | Are the renormalized band widths in TTF-TCNQ of structural or electronic
origin? - An angular dependent NEXAFS study | We have performed angle-dependent near-edge x-ray absorption fine structure
measurements in the Auger electron yield mode on the correlated
quasi-one-dimensional organic conductor TTF-TCNQ in order to determine the
orientation of the molecules in the topmost surface layer. We find that the
tilt angles of the molecules with respect to the one-dimensional axis are
essentially the same as in the bulk. Thus we can rule out surface relaxation as
the origin of the renormalized band widths which were inferred from the
analysis of photoemission data within the one-dimensional Hubbard model.
Thereby recent theoretical results are corroborated which invoke long-range
Coulomb repulsion as alternative explanation to understand the spectral
dispersions of TTF-TCNQ quantitatively within an extended Hubbard model.
| cond-mat.str-el | we have performed angledependent nearedge xray absorption fine structure measurements in the auger electron yield mode on the correlated quasionedimensional organic conductor ttftcnq in order to determine the orientation of the molecules in the topmost surface layer we find that the tilt angles of the molecules with respect to the onedimensional axis are essentially the same as in the bulk thus we can rule out surface relaxation as the origin of the renormalized band widths which were inferred from the analysis of photoemission data within the onedimensional hubbard model thereby recent theoretical results are corroborated which invoke longrange coulomb repulsion as alternative explanation to understand the spectral dispersions of ttftcnq quantitatively within an extended hubbard model | [['we', 'have', 'performed', 'angledependent', 'nearedge', 'xray', 'absorption', 'fine', 'structure', 'measurements', 'in', 'the', 'auger', 'electron', 'yield', 'mode', 'on', 'the', 'correlated', 'quasionedimensional', 'organic', 'conductor', 'ttftcnq', 'in', 'order', 'to', 'determine', 'the', 'orientation', 'of', 'the', 'molecules', 'in', 'the', 'topmost', 'surface', 'layer', 'we', 'find', 'that', 'the', 'tilt', 'angles', 'of', 'the', 'molecules', 'with', 'respect', 'to', 'the', 'onedimensional', 'axis', 'are', 'essentially', 'the', 'same', 'as', 'in', 'the', 'bulk', 'thus', 'we', 'can', 'rule', 'out', 'surface', 'relaxation', 'as', 'the', 'origin', 'of', 'the', 'renormalized', 'band', 'widths', 'which', 'were', 'inferred', 'from', 'the', 'analysis', 'of', 'photoemission', 'data', 'within', 'the', 'onedimensional', 'hubbard', 'model', 'thereby', 'recent', 'theoretical', 'results', 'are', 'corroborated', 'which', 'invoke', 'longrange', 'coulomb', 'repulsion', 'as', 'alternative', 'explanation', 'to', 'understand', 'the', 'spectral', 'dispersions', 'of', 'ttftcnq', 'quantitatively', 'within', 'an', 'extended', 'hubbard', 'model']] | [-0.09370942852572249, 0.1218294092959068, -0.06258723934999956, 0.07041024518247437, -0.03094457617382808, -0.1212588095985321, 0.05934987869715832, 0.4517652977514884, -0.2664390068244317, -0.3037905252587797, -0.0015036009958591954, -0.3153367938056331, -0.09910778227816175, 0.14941836772727426, 0.06895413713786623, 0.025618632869987654, -0.004369135010698489, -0.05710071021819423, -0.09244642765381662, -0.1697518308797514, 0.2694032246824996, 0.09541389738924094, 0.2638577504308316, 0.11508413682820211, -0.022799690967578248, 0.022020762517309653, 0.04220691605888564, 0.014852680924252189, -0.16347981572126347, 0.10681957618237056, 0.23600710098278418, -0.08940764694426466, 0.16059668614039327, -0.4709001646923094, -0.24405522284836606, -0.024830915843581193, 0.15463295028091345, 0.1153056128311838, -0.017394211180387708, -0.27438500552470313, 0.014898931389827088, -0.1349134880182301, -0.1795652235842085, -0.07362307617360533, -0.043177133644850735, 0.020347777200092017, -0.215139533945556, 0.11879425906929476, 0.017701252740968405, 0.07252997548544202, -0.1379553705959677, -0.12801081645061615, -0.08917397133813336, 0.08509067199112655, 0.05947156074448842, 0.007028914664888048, 0.14940971688062338, -0.08313652215493393, -0.10424567656270389, 0.3863671589321617, -0.08663196364720753, -0.11531901029380166, 0.16731332037959185, -0.2021906604701332, -0.08524412906564098, 0.19507089479031556, 0.09688569077868657, 0.07115977039512504, -0.138859759296134, 0.06937211502648505, -0.0806625627687779, 0.19794183095529724, 0.03561887241185418, 0.05971284779912696, 0.2507475864880815, 0.15230751406212722, 0.002253960426655951, 0.11316254474664235, -0.17992259158086982, -0.06682171394189435, -0.23195257456973195, -0.148091769366774, -0.20392185498850926, 0.039510538381050696, -0.05764051272678349, -0.1901265558031998, 0.40341262034153574, 0.13858543556777697, 0.224719564697368, -0.03031036022303883, 0.2410015268452016, 0.10273890805446767, 0.08339312868714653, -0.0045858210410344704, 0.2813919668792394, 0.1712554770016015, 0.057543931089357694, -0.3092994272512191, 0.09713827437171231, 0.034572216389090596] |
708.1407 | Interplay between electron-phonon and Coulomb interactions in cuprates | Evidence for strong electron-phonon coupling in high-Tc cuprates is reviewed,
with emphasis on the electron and phonon spectral functions. Effects due to the
interplay between the Coulomb and electron-phonon interactions are studied. For
weakly doped cuprates, the phonon self-energy is strongly reduced due to
correlation effects, while there is no corresponding strong reduction for the
electron self-energy. Polaron formation is studied, focusing on effects of
Coulomb interaction and antiferromagnetic correlations. It is argued that
experimental indications of polaron formation in undoped cuprates are due to a
strong electron-phonon interaction for these systems.
| cond-mat.str-el cond-mat.mtrl-sci | evidence for strong electronphonon coupling in hightc cuprates is reviewed with emphasis on the electron and phonon spectral functions effects due to the interplay between the coulomb and electronphonon interactions are studied for weakly doped cuprates the phonon selfenergy is strongly reduced due to correlation effects while there is no corresponding strong reduction for the electron selfenergy polaron formation is studied focusing on effects of coulomb interaction and antiferromagnetic correlations it is argued that experimental indications of polaron formation in undoped cuprates are due to a strong electronphonon interaction for these systems | [['evidence', 'for', 'strong', 'electronphonon', 'coupling', 'in', 'hightc', 'cuprates', 'is', 'reviewed', 'with', 'emphasis', 'on', 'the', 'electron', 'and', 'phonon', 'spectral', 'functions', 'effects', 'due', 'to', 'the', 'interplay', 'between', 'the', 'coulomb', 'and', 'electronphonon', 'interactions', 'are', 'studied', 'for', 'weakly', 'doped', 'cuprates', 'the', 'phonon', 'selfenergy', 'is', 'strongly', 'reduced', 'due', 'to', 'correlation', 'effects', 'while', 'there', 'is', 'no', 'corresponding', 'strong', 'reduction', 'for', 'the', 'electron', 'selfenergy', 'polaron', 'formation', 'is', 'studied', 'focusing', 'on', 'effects', 'of', 'coulomb', 'interaction', 'and', 'antiferromagnetic', 'correlations', 'it', 'is', 'argued', 'that', 'experimental', 'indications', 'of', 'polaron', 'formation', 'in', 'undoped', 'cuprates', 'are', 'due', 'to', 'a', 'strong', 'electronphonon', 'interaction', 'for', 'these', 'systems']] | [-0.17001571318985004, 0.20858928900713142, -0.013436312577813742, 0.18098240245624608, -0.047718765370993184, -0.17683594928467242, 0.03777045284843315, 0.40377716643168876, -0.20425468687292025, -0.208894556965274, -0.06865819203211805, -0.4107307943758433, -0.13117588298779953, 0.17018675656847493, 0.10904091445769629, -0.030189672234447917, 0.010063289396424332, -0.07351848153073502, -0.1051717843814834, -0.2272683328559177, 0.3382635105593616, 0.04894391745556672, 0.3197789692481899, 0.2534920964845578, -0.004870900864024525, 0.07734684752928012, 0.09335315717971357, 0.01813850095799274, -0.12590365781255494, 0.03694986244258673, 0.3116680099236597, -0.15902765341730707, 0.2474493780983207, -0.41652879060205555, -0.23817394729501204, -0.029073716672744766, 0.14186562953071427, 0.1545693433777753, -0.10188603590105903, -0.26118233336297714, -0.021251554611017524, -0.15624016349244377, -0.054919020820069935, -0.0960933052347568, 0.05707680921414462, 0.0006708634363072317, -0.2757408713678951, 0.15021600427470452, 0.054053760543668075, 0.046148007310441004, -0.10320451317112082, -0.09840350216457053, -0.05380737286506464, 0.014517194728124077, 0.12873700894567225, 0.04489596893140317, 0.11304319042550481, -0.13546029068833298, -0.062084609636930625, 0.41442598156509514, -0.02326533325907329, -0.09224746356029874, 0.23380766784691293, -0.18319285073337835, -0.0720569480251035, 0.17759008389776168, 0.07280835540681753, 0.010972156771458685, -0.16320608817951995, 0.14159678965971462, 0.02913777317608828, 0.17764524203401222, -0.008350922245248828, 0.19293275545730823, 0.22753631546283545, 0.216438143478666, 0.012992694477915116, 0.08858087906897393, -0.06418613430983185, -0.07891069442469059, -0.1995827542293979, -0.05463522398824115, -0.2277736677940044, 0.04750523756703605, -0.04828626916534394, -0.18951312167084086, 0.3431525043263758, 0.15179644561494174, 0.1532579487665435, -0.10898923924769802, 0.19529467600438258, 0.16119490195895828, 0.0990981082583818, 0.006259243707577495, 0.33119706462805526, 0.2201650715129369, 0.056810573221730956, -0.42171081344080763, 0.10652157191551574, 0.047266007979329595] |
708.1408 | Can black holes be torn up by phantom dark energy in cyclic cosmology? | Infinitely cyclic cosmology is often frustrated by the black hole problem. It
has been speculated that this obstacle in cyclic cosmology can be removed by
taking into account a peculiar cyclic model derived from loop quantum cosmology
or the braneworld scenario, in which phantom dark energy plays a crucial role.
In this peculiar cyclic model, the mechanism of solving the black hole problem
is through tearing up black holes by phantom. However, using the theory of
fluid accretion onto black holes, we show in this paper that there exists
another possibility: that black holes cannot be torn up by phantom in this
cyclic model. We discussed this possibility and showed that the masses of black
holes might first decrease and then increase, through phantom accretion onto
black holes in the expanding stage of the cyclic universe.
| gr-qc astro-ph hep-ph hep-th | infinitely cyclic cosmology is often frustrated by the black hole problem it has been speculated that this obstacle in cyclic cosmology can be removed by taking into account a peculiar cyclic model derived from loop quantum cosmology or the braneworld scenario in which phantom dark energy plays a crucial role in this peculiar cyclic model the mechanism of solving the black hole problem is through tearing up black holes by phantom however using the theory of fluid accretion onto black holes we show in this paper that there exists another possibility that black holes cannot be torn up by phantom in this cyclic model we discussed this possibility and showed that the masses of black holes might first decrease and then increase through phantom accretion onto black holes in the expanding stage of the cyclic universe | [['infinitely', 'cyclic', 'cosmology', 'is', 'often', 'frustrated', 'by', 'the', 'black', 'hole', 'problem', 'it', 'has', 'been', 'speculated', 'that', 'this', 'obstacle', 'in', 'cyclic', 'cosmology', 'can', 'be', 'removed', 'by', 'taking', 'into', 'account', 'a', 'peculiar', 'cyclic', 'model', 'derived', 'from', 'loop', 'quantum', 'cosmology', 'or', 'the', 'braneworld', 'scenario', 'in', 'which', 'phantom', 'dark', 'energy', 'plays', 'a', 'crucial', 'role', 'in', 'this', 'peculiar', 'cyclic', 'model', 'the', 'mechanism', 'of', 'solving', 'the', 'black', 'hole', 'problem', 'is', 'through', 'tearing', 'up', 'black', 'holes', 'by', 'phantom', 'however', 'using', 'the', 'theory', 'of', 'fluid', 'accretion', 'onto', 'black', 'holes', 'we', 'show', 'in', 'this', 'paper', 'that', 'there', 'exists', 'another', 'possibility', 'that', 'black', 'holes', 'can', 'not', 'be', 'torn', 'up', 'by', 'phantom', 'in', 'this', 'cyclic', 'model', 'we', 'discussed', 'this', 'possibility', 'and', 'showed', 'that', 'the', 'masses', 'of', 'black', 'holes', 'might', 'first', 'decrease', 'and', 'then', 'increase', 'through', 'phantom', 'accretion', 'onto', 'black', 'holes', 'in', 'the', 'expanding', 'stage', 'of', 'the', 'cyclic', 'universe']] | [-0.12436222405696329, 0.15101858048978514, -0.08101546083896483, 0.1074737618026412, -0.06597379622912973, -0.1709999758580251, -0.015922116657827785, 0.31404357215212864, -0.23436699103373682, -0.30493305643245466, 0.09152458258224719, -0.25073432806117907, -0.12728738496046052, 0.20413218499127314, -0.07050616685708944, -0.017300974866579267, 0.03446387873884345, 0.0018580735994190194, -0.03426506864858696, -0.2503655814666838, 0.36701724431851374, 0.10365174131138237, 0.19791759036304632, -0.0030662533317277903, 0.08725023737184051, -0.04829718197872658, 0.03893267225480917, 0.07679534271141908, -0.19377154332902588, -0.008726424234239452, 0.22733681085247573, 0.13664140623491122, 0.25672286315345255, -0.4527080271148334, -0.2913938964696696, 0.14480105361962406, 0.22459884868241356, 0.16716013896760418, -0.17312803075319141, -0.23385316729001757, 0.11638394423699291, -0.2654138547470317, -0.10159451703466203, 0.014115913329224516, 0.03425023755412141, -0.0893091056947333, -0.15181368784545615, 0.1429908155195116, 0.09312292937202936, -0.10655281171678518, -0.11305824350429712, 0.015126676577394896, -0.0496702640976784, 0.0720568687542865, 0.14384702014665451, 0.02700474358632834, 0.15366229101043385, -0.10813134436004448, -0.12016797073552535, 0.38654083560091734, -0.04610247191476778, -0.13920004314736184, 0.10363319309353557, -0.2012681435032265, -0.12261638055507937, 0.13429541410844312, 0.11762509660210706, 0.14957077530668164, -0.13213428878055436, 0.14879773205985744, -0.012612738728142567, 0.17408564144976602, 0.11494296324187822, -0.03738027476590045, 0.4609514404917612, 0.1460055330373945, -0.031739287346900596, 0.17299009072186466, -0.023272295166350848, -0.09036250430478776, -0.2754277511819327, -0.15324048022229741, -0.14255095288891645, 0.10747024046614456, -0.16394398702341675, -0.16071616365390756, 0.2979994062980107, 0.09692361720932824, 0.16868437035009265, -0.0787967945896021, 0.2693700186569037, 0.049812467000617165, 0.05147755851316517, 0.08973085935343139, 0.3249176971165694, 0.10091740864390222, 0.1065123426068547, -0.2444122013496575, -0.00805943628541962, 0.09174017290530359] |
708.1409 | Diffusive spin transport | Information to be stored and transported requires physical carriers. The
quantum bit of information (qubit) can for instance be realised as the spin 1/2
degree of freedom of a massive particle like an electron or as the spin 1
polarisation of a massless photon. In this lecture, I first use irreducible
representations of the rotation group to characterise the spin dynamics in a
least redundant manner. Specifically, I describe the decoherence dynamics of an
arbitrary spin S coupled to a randomly fluctuating magnetic field in the
Liouville space formalism. Secondly, I discuss the diffusive dynamics of the
particle's position in space due to the presence of randomly placed impurities.
Combining these two dynamics yields a coherent, unified picture of diffusive
spin transport, as applicable to mesoscopic electronic devices or photons
propagating in cold atomic clouds.
| quant-ph | information to be stored and transported requires physical carriers the quantum bit of information qubit can for instance be realised as the spin 12 degree of freedom of a massive particle like an electron or as the spin 1 polarisation of a massless photon in this lecture i first use irreducible representations of the rotation group to characterise the spin dynamics in a least redundant manner specifically i describe the decoherence dynamics of an arbitrary spin s coupled to a randomly fluctuating magnetic field in the liouville space formalism secondly i discuss the diffusive dynamics of the particles position in space due to the presence of randomly placed impurities combining these two dynamics yields a coherent unified picture of diffusive spin transport as applicable to mesoscopic electronic devices or photons propagating in cold atomic clouds | [['information', 'to', 'be', 'stored', 'and', 'transported', 'requires', 'physical', 'carriers', 'the', 'quantum', 'bit', 'of', 'information', 'qubit', 'can', 'for', 'instance', 'be', 'realised', 'as', 'the', 'spin', '12', 'degree', 'of', 'freedom', 'of', 'a', 'massive', 'particle', 'like', 'an', 'electron', 'or', 'as', 'the', 'spin', '1', 'polarisation', 'of', 'a', 'massless', 'photon', 'in', 'this', 'lecture', 'i', 'first', 'use', 'irreducible', 'representations', 'of', 'the', 'rotation', 'group', 'to', 'characterise', 'the', 'spin', 'dynamics', 'in', 'a', 'least', 'redundant', 'manner', 'specifically', 'i', 'describe', 'the', 'decoherence', 'dynamics', 'of', 'an', 'arbitrary', 'spin', 's', 'coupled', 'to', 'a', 'randomly', 'fluctuating', 'magnetic', 'field', 'in', 'the', 'liouville', 'space', 'formalism', 'secondly', 'i', 'discuss', 'the', 'diffusive', 'dynamics', 'of', 'the', 'particles', 'position', 'in', 'space', 'due', 'to', 'the', 'presence', 'of', 'randomly', 'placed', 'impurities', 'combining', 'these', 'two', 'dynamics', 'yields', 'a', 'coherent', 'unified', 'picture', 'of', 'diffusive', 'spin', 'transport', 'as', 'applicable', 'to', 'mesoscopic', 'electronic', 'devices', 'or', 'photons', 'propagating', 'in', 'cold', 'atomic', 'clouds']] | [-0.16635426968094652, 0.25954477735471704, -0.057005684746912234, 0.047253992962995886, -0.023679033121852964, -0.1594054800113318, -0.0023070348564673353, 0.3328536332826372, -0.2914268923578439, -0.2842706486168835, 0.026099998306448536, -0.2832093702663702, -0.06008753576833341, 0.13860624552687148, -0.0042771135318886355, -0.0192183507192466, -0.0012543003419759097, 0.03100271852755988, -0.058610323023189, -0.2074797298276314, 0.29549962969289884, 0.02134697036558969, 0.24270342372495818, -7.884423162236257e-05, 0.15327243848738295, 0.05670381112507096, 0.019863985965882118, -0.004199604117915172, -0.08267499204311106, 0.09914994471085568, 0.23826072589252834, 0.024106878914904817, 0.19995781846378965, -0.5129178394046094, -0.21122854417189957, 0.05872864013761972, 0.19333848451734176, 0.17601032358835692, -0.04369693005854195, -0.2780352640931529, -0.021999468744077065, -0.16305965595216818, -0.167041950988372, -0.05332341423534133, 0.008496613020111841, -0.0016396390567361204, -0.23326266711508786, 0.07294262983594779, 0.06859111254000001, 0.049727590658046585, -0.028628096079854812, -0.04007057790403013, -0.035665009112131815, 0.10251441563057058, -0.008982012075958428, 0.048606599001558844, 0.20529335886240005, -0.1437456502251465, -0.15128137767401145, 0.38249365875359487, -0.06993935378613296, -0.2308571629157221, 0.1699705617510955, -0.1665098834299931, -0.09990243923643397, 0.14095333858427625, 0.17813001462016945, 0.1176618286701678, -0.17248269913511144, 0.053335255539234454, -0.020952373239453193, 0.15204015991874728, 0.03545695325808117, 0.14084689378462456, 0.27367418606041205, 0.16209962400090364, 0.042035943283526986, 0.12744030724969452, -0.12468262668699026, -0.11101291835721996, -0.29105842833027795, -0.19623950654794398, -0.22321608940967255, 0.14072360926204258, -0.08022417834500731, -0.12859811563458706, 0.39142637895765126, 0.16014786840985631, 0.16049533290098664, -0.0431025840755966, 0.27746538874796695, 0.08453342381226658, 0.028238498824821025, 0.07644507255215474, 0.1928920328720576, 0.18720744781679025, 0.07213861476629972, -0.2551572326036101, 0.0021105338998259632, 0.012003352406814143] |
708.141 | Glueball operators and the microscopic approach to N=1 gauge theories | We explain how to generalize Nekrasov's microscopic approach to N=2 gauge
theories to the N=1 case, focusing on the typical example of the U(N) theory
with one adjoint chiral multiplet X and an arbitrary polynomial tree-level
superpotential Tr W(X). We provide a detailed analysis of the generalized
glueball operators and a non-perturbative discussion of the Dijkgraaf-Vafa
matrix model and of the generalized Konishi anomaly equations. We compute in
particular the non-trivial quantum corrections to the Virasoro operators and
algebra that generate these equations. We have performed explicit calculations
up to two instantons, that involve the next-to-leading order corrections in
Nekrasov's Omega-background.
| hep-th | we explain how to generalize nekrasovs microscopic approach to n2 gauge theories to the n1 case focusing on the typical example of the un theory with one adjoint chiral multiplet x and an arbitrary polynomial treelevel superpotential tr wx we provide a detailed analysis of the generalized glueball operators and a nonperturbative discussion of the dijkgraafvafa matrix model and of the generalized konishi anomaly equations we compute in particular the nontrivial quantum corrections to the virasoro operators and algebra that generate these equations we have performed explicit calculations up to two instantons that involve the nexttoleading order corrections in nekrasovs omegabackground | [['we', 'explain', 'how', 'to', 'generalize', 'nekrasovs', 'microscopic', 'approach', 'to', 'n2', 'gauge', 'theories', 'to', 'the', 'n1', 'case', 'focusing', 'on', 'the', 'typical', 'example', 'of', 'the', 'un', 'theory', 'with', 'one', 'adjoint', 'chiral', 'multiplet', 'x', 'and', 'an', 'arbitrary', 'polynomial', 'treelevel', 'superpotential', 'tr', 'wx', 'we', 'provide', 'a', 'detailed', 'analysis', 'of', 'the', 'generalized', 'glueball', 'operators', 'and', 'a', 'nonperturbative', 'discussion', 'of', 'the', 'dijkgraafvafa', 'matrix', 'model', 'and', 'of', 'the', 'generalized', 'konishi', 'anomaly', 'equations', 'we', 'compute', 'in', 'particular', 'the', 'nontrivial', 'quantum', 'corrections', 'to', 'the', 'virasoro', 'operators', 'and', 'algebra', 'that', 'generate', 'these', 'equations', 'we', 'have', 'performed', 'explicit', 'calculations', 'up', 'to', 'two', 'instantons', 'that', 'involve', 'the', 'nexttoleading', 'order', 'corrections', 'in', 'nekrasovs', 'omegabackground']] | [-0.1360735216657493, 0.12083214268420873, -0.09113879746118893, 0.1271123806023878, -0.09221343584082062, -0.15164324287140724, -0.014293287201821435, 0.2940502086686579, -0.17241188679996988, -0.23854286831775956, 0.060224405616650926, -0.3085468885359714, -0.20063957435051255, 0.06741155572881055, 0.0035114948370374077, 0.07091372248706279, -0.021025283183754965, 0.06735632403800955, -0.14991935109719634, -0.2824163785674563, 0.3508358251437139, -0.022517164596264242, 0.19771718859930734, 0.09859594890598834, 0.09860281823756228, -0.001577292761470348, -0.02570338343906373, -0.07075228562375696, -0.1425253528472564, 0.1314884415103842, 0.246829743109791, 0.026314436983649093, 0.09996217578225354, -0.471469953914385, -0.15032214694886958, 0.09703906869866175, 0.16787143402944993, 0.1369410124515174, 0.008502807167340254, -0.25750436041605573, 0.07932498826562326, -0.23302461942173724, -0.18001811967650888, -0.16664493749019607, -0.02602297960236521, -0.12157412470458998, -0.2994046971630674, 0.050282781245186925, 0.010607172209437531, 0.020488901978337304, -0.03328253659834661, -0.127677680744725, -0.06342460439623435, 0.08958292911105817, 0.07963268149823946, 0.05304147602326357, 0.09107767334576733, -0.16251005990013462, -0.17724993313653487, 0.35758178367620647, -0.08458295440195257, -0.24719500151638052, 0.09074148969807763, -0.16303627728715098, -0.22786496437643425, 0.06958955375127274, 0.12205849025665902, 0.1811554303558746, -0.09812666101399625, 0.216283744862672, -0.04511906117163968, 0.12439963808813419, 0.07383701825366899, 0.0333459722477537, 0.148484731065386, 0.04226849143079823, -0.0024469666226794667, 0.10366513429320243, 0.032162820466213146, -0.14572559947166408, -0.44085771789645206, -0.1382704554494507, -0.0932231843425422, 0.11508986690326013, -0.14637972078790962, -0.17571257136872795, 0.3936104015401094, 0.18009872748378183, 0.1676490416907069, 0.07382343915097489, 0.21074982024821462, 0.17044017995052999, 0.09468967272521983, -0.006132876618055276, 0.18193044173208497, 0.22014283123287823, 0.07685277413687494, -0.28005625655192257, -0.1547941656063984, 0.24642470384957177] |
708.1411 | Achievable Outage Rates with Improved Decoding of Bicm Multiband Ofdm
Under Channel Estimation Errors | We consider the decoding of bit interleaved coded modulation (BICM) applied
to multiband OFDM for practical scenarios where only a noisy (possibly very
bad) estimate of the channel is available at the receiver. First, a decoding
metric based on the channel it a posteriori probability density, conditioned on
the channel estimate is derived and used for decoding BICM multiband OFDM.
Then, we characterize the limits of reliable information rates in terms of the
maximal achievable outage rates associated to the proposed metric. We also
compare our results with the outage rates of a system using a theoretical
decoder. Our results are useful for designing a communication system where a
prescribed quality of service (QoS), in terms of achievable target rates with
small error probability, must be satisfied even in the presence of imperfect
channel estimation. Numerical results over both realistic UWB and theoretical
Rayleigh fading channels show that the proposed method provides significant
gain in terms of BER and outage rates compared to the classical mismatched
detector, without introducing any additional complexity.
| cs.NI | we consider the decoding of bit interleaved coded modulation bicm applied to multiband ofdm for practical scenarios where only a noisy possibly very bad estimate of the channel is available at the receiver first a decoding metric based on the channel it a posteriori probability density conditioned on the channel estimate is derived and used for decoding bicm multiband ofdm then we characterize the limits of reliable information rates in terms of the maximal achievable outage rates associated to the proposed metric we also compare our results with the outage rates of a system using a theoretical decoder our results are useful for designing a communication system where a prescribed quality of service qos in terms of achievable target rates with small error probability must be satisfied even in the presence of imperfect channel estimation numerical results over both realistic uwb and theoretical rayleigh fading channels show that the proposed method provides significant gain in terms of ber and outage rates compared to the classical mismatched detector without introducing any additional complexity | [['we', 'consider', 'the', 'decoding', 'of', 'bit', 'interleaved', 'coded', 'modulation', 'bicm', 'applied', 'to', 'multiband', 'ofdm', 'for', 'practical', 'scenarios', 'where', 'only', 'a', 'noisy', 'possibly', 'very', 'bad', 'estimate', 'of', 'the', 'channel', 'is', 'available', 'at', 'the', 'receiver', 'first', 'a', 'decoding', 'metric', 'based', 'on', 'the', 'channel', 'it', 'a', 'posteriori', 'probability', 'density', 'conditioned', 'on', 'the', 'channel', 'estimate', 'is', 'derived', 'and', 'used', 'for', 'decoding', 'bicm', 'multiband', 'ofdm', 'then', 'we', 'characterize', 'the', 'limits', 'of', 'reliable', 'information', 'rates', 'in', 'terms', 'of', 'the', 'maximal', 'achievable', 'outage', 'rates', 'associated', 'to', 'the', 'proposed', 'metric', 'we', 'also', 'compare', 'our', 'results', 'with', 'the', 'outage', 'rates', 'of', 'a', 'system', 'using', 'a', 'theoretical', 'decoder', 'our', 'results', 'are', 'useful', 'for', 'designing', 'a', 'communication', 'system', 'where', 'a', 'prescribed', 'quality', 'of', 'service', 'qos', 'in', 'terms', 'of', 'achievable', 'target', 'rates', 'with', 'small', 'error', 'probability', 'must', 'be', 'satisfied', 'even', 'in', 'the', 'presence', 'of', 'imperfect', 'channel', 'estimation', 'numerical', 'results', 'over', 'both', 'realistic', 'uwb', 'and', 'theoretical', 'rayleigh', 'fading', 'channels', 'show', 'that', 'the', 'proposed', 'method', 'provides', 'significant', 'gain', 'in', 'terms', 'of', 'ber', 'and', 'outage', 'rates', 'compared', 'to', 'the', 'classical', 'mismatched', 'detector', 'without', 'introducing', 'any', 'additional', 'complexity']] | [-0.22728140379280545, 0.00673961152084345, -0.04423554666573182, 0.06950540217736108, -0.006410497950043443, -0.24618074172555449, 0.1452371118519845, 0.39822171953355157, -0.22067335462955714, -0.24128754014084333, 0.11779201290296759, -0.21327490640295194, -0.16017142610846433, 0.22522726061220585, -0.16793061080821897, 0.12002168043224185, 0.08869978226856653, 0.09289561533423271, -0.11758005457285922, -0.3103302580569762, 0.25282984608134557, 0.15056876931339502, 0.3472061336181278, 0.015096963846211344, 0.09374834490374143, 0.0103038668491726, -0.014897835576300358, -0.051648211389303554, -0.14134131313111603, 0.08299240818637055, 0.3187743805817242, 0.1686962846298377, 0.2056603857538078, -0.37757849104182667, -0.2820575769156824, 0.06589367973813137, 0.15002023968926825, 0.09686489684810472, -0.07148113093192711, -0.3192871784057663, 0.1383870693321643, -0.22704723679601366, 0.010286695870765767, 0.009396238896865831, -0.0956699374770789, 0.06464594670538899, -0.38667640996945285, 0.056199538800154734, 0.009275482363422228, 0.03691655512206083, -0.058117898487009455, -0.14164018077331833, 0.046146093905621834, 0.16227393750599478, 0.034770972720147, 0.00241926756652267, 0.0678195393438516, -0.09650744902116225, -0.08035709635831069, 0.35070604245113424, -0.056073947578159616, -0.26001049420352335, 0.1445503018560906, -0.11561431979143255, -0.04503096442068602, 0.21063958831824536, 0.2632251651253725, 0.054178132209926844, -0.16059908754703978, 0.00881156629204566, 0.012939837141920877, 0.2027888991951206, 0.07197527078164438, 0.1612771199203941, 0.1226309253671748, 0.17290891927320423, 0.07633211517159633, 0.1417204292070088, -0.17307535874106392, -0.09781416080253155, -0.2903931198511706, -0.11326788453423137, -0.21632960739513035, 0.0037095358116054082, -0.14462660719225315, -0.08119436904116599, 0.34008446446251733, 0.1662399645273433, 0.13078584518557046, 0.14901692530906455, 0.3891817725555928, 0.14004261503239748, -0.002674879235497048, 0.11539673477920248, 0.20202912603028464, 0.1265014984406704, 0.04045653556200113, -0.22433321637393863, 0.12002774748171485, -0.0032085421262308955] |
708.1412 | Which canonical algebras are derived equivalent to incidence algebras of
posets? | We give a full description of all the canonical algebras over an
algebraically closed field that are derived equivalent to incidence algebras of
finite posets. These are the canonical algebras whose number of weights is
either 2 or 3.
| math.RT math.RA | we give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets these are the canonical algebras whose number of weights is either 2 or 3 | [['we', 'give', 'a', 'full', 'description', 'of', 'all', 'the', 'canonical', 'algebras', 'over', 'an', 'algebraically', 'closed', 'field', 'that', 'are', 'derived', 'equivalent', 'to', 'incidence', 'algebras', 'of', 'finite', 'posets', 'these', 'are', 'the', 'canonical', 'algebras', 'whose', 'number', 'of', 'weights', 'is', 'either', '2', 'or', '3']] | [-0.1770852235121987, 0.153642624966242, -0.023912771867635924, 0.09341083217758495, -0.0960396766447677, -0.14518170105293393, -0.08308571360659045, 0.406315322774343, -0.34185316749155903, -0.22251977958979133, 0.11618336002366283, -0.2192255866666062, -0.08309572387653856, 0.19915120229005623, -0.08784800526709893, -0.09255780666493453, 0.02318149215828341, 0.1841156860240377, -0.15599754170323601, -0.3393299222374574, 0.4166477194581276, -0.040229614125564694, 0.18697470042090386, -0.021738029049279597, 0.10937642974656625, 0.0456655846717648, -0.017019301175307006, 0.10312118854087132, -0.17434224964642617, 0.11362951387388584, 0.3078108555040298, 0.13291473753559283, 0.21060473419343814, -0.3804823190260392, -0.08599752590107994, 0.19995260214767394, 0.1824329977687926, 0.07338795357216628, 0.03728930479011092, -0.19164337599888825, 0.1292435533407395, -0.20139315012746897, -0.10884174401274858, -0.05380043392189038, 0.05995770519038137, 0.04833742416201112, -0.2586043841348818, -0.027733107867579047, 0.11512618779371946, 0.20957453016382763, -0.11502609104634477, -0.14709752633307988, -0.07674804307186069, 0.0806377345803552, -0.10523151690498568, -0.005489482305561885, 0.07290731080306265, -0.0970883861852762, -0.17147348567437476, 0.31518209181152856, 0.03008395693718623, -0.23224483134272772, 0.13209317244278887, -0.1777140938748534, -0.06376069388949336, 0.2139254606400545, 0.01891403044693363, 0.1352037141004052, -0.08578485527481788, 0.16092702732063258, -0.1560206161095546, 0.014522719316375561, 0.062246859312439576, 0.01876595985287657, 0.17177375086033955, 0.04856093361591681, 0.024973840536310885, 0.1058236606992208, 0.044726576178501815, -0.05954214647555581, -0.38991413590235585, -0.13937743855879092, -0.05976737811504744, 0.17324518653540275, -0.13765196752949402, -0.2626391717662605, 0.4055730375723961, 0.08758420197484203, 0.19395099016718376, 0.17484226557784355, 0.20539560792251274, 0.11495154747405113, 0.12949683832434508, 0.041789796525755755, 0.11331958008500245, 0.28437196702147144, -0.08958504343023285, -0.10568055499774906, -0.052742772174473755, 0.1558840286034422] |
708.1413 | On Optimal Turbo Decoding of Wideband MIMO-OFDM Systems Under Imperfect
Channel State Information | We consider the decoding of bit interleaved coded modulation (BICM) applied
to both multiband and MIMO OFDM systems for typical scenarios where only a
noisy (possibly very bad) estimate of the channel is provided by sending a
limited number of pilot symbols. First, by using a Bayesian framework involving
the channel a posteriori density, we adopt a practical decoding metric that is
robust to the presence of channel estimation errors. Then this metric is used
in the demapping part of BICM multiband and MIMO OFDM receivers. We also
compare our results with the performance of a mismatched decoder that replaces
the channel by its estimate in the decoding metric. Numerical results over both
realistic UWB and theoretical Rayleigh fading channels show that the proposed
method provides significant gain in terms of bit error rate compared to the
classical mismatched detector, without introducing any additional complexity.
| cs.NI | we consider the decoding of bit interleaved coded modulation bicm applied to both multiband and mimo ofdm systems for typical scenarios where only a noisy possibly very bad estimate of the channel is provided by sending a limited number of pilot symbols first by using a bayesian framework involving the channel a posteriori density we adopt a practical decoding metric that is robust to the presence of channel estimation errors then this metric is used in the demapping part of bicm multiband and mimo ofdm receivers we also compare our results with the performance of a mismatched decoder that replaces the channel by its estimate in the decoding metric numerical results over both realistic uwb and theoretical rayleigh fading channels show that the proposed method provides significant gain in terms of bit error rate compared to the classical mismatched detector without introducing any additional complexity | [['we', 'consider', 'the', 'decoding', 'of', 'bit', 'interleaved', 'coded', 'modulation', 'bicm', 'applied', 'to', 'both', 'multiband', 'and', 'mimo', 'ofdm', 'systems', 'for', 'typical', 'scenarios', 'where', 'only', 'a', 'noisy', 'possibly', 'very', 'bad', 'estimate', 'of', 'the', 'channel', 'is', 'provided', 'by', 'sending', 'a', 'limited', 'number', 'of', 'pilot', 'symbols', 'first', 'by', 'using', 'a', 'bayesian', 'framework', 'involving', 'the', 'channel', 'a', 'posteriori', 'density', 'we', 'adopt', 'a', 'practical', 'decoding', 'metric', 'that', 'is', 'robust', 'to', 'the', 'presence', 'of', 'channel', 'estimation', 'errors', 'then', 'this', 'metric', 'is', 'used', 'in', 'the', 'demapping', 'part', 'of', 'bicm', 'multiband', 'and', 'mimo', 'ofdm', 'receivers', 'we', 'also', 'compare', 'our', 'results', 'with', 'the', 'performance', 'of', 'a', 'mismatched', 'decoder', 'that', 'replaces', 'the', 'channel', 'by', 'its', 'estimate', 'in', 'the', 'decoding', 'metric', 'numerical', 'results', 'over', 'both', 'realistic', 'uwb', 'and', 'theoretical', 'rayleigh', 'fading', 'channels', 'show', 'that', 'the', 'proposed', 'method', 'provides', 'significant', 'gain', 'in', 'terms', 'of', 'bit', 'error', 'rate', 'compared', 'to', 'the', 'classical', 'mismatched', 'detector', 'without', 'introducing', 'any', 'additional', 'complexity']] | [-0.22435883433911308, 0.014816485192819402, -0.05880147648076045, 0.05326234060901635, -0.03807219460542346, -0.2617138984805808, 0.12231234215713781, 0.3904079876197823, -0.24630439785662397, -0.2459817041867766, 0.1184434109865206, -0.2130873704778737, -0.2102659675108012, 0.1949282122286165, -0.170653408830022, 0.1026827877094359, 0.08607376621843411, 0.04556833793377054, -0.1336838124994317, -0.3023453494437553, 0.2761370611939065, 0.1390906453903379, 0.31376828782356764, -0.05095131333018171, 0.09606110386084765, 0.04333374536082406, -0.037252999264104615, -0.06022489474893644, -0.08071779472475414, 0.06622392756157908, 0.30667304427298747, 0.16534669917590658, 0.23879054881118494, -0.36671574206958557, -0.3089399454151762, 0.050691666617861085, 0.15273185895820116, 0.11891812555620383, -0.08308549637831988, -0.3115840137261769, 0.15000725085204789, -0.23231494541376316, 0.041906580669355806, 0.015211083353015369, -0.0983751141337742, 0.021984188778903978, -0.3752535772734675, 0.050054568268864515, 0.03110453789604121, 0.03959368603496716, -0.03201024089217314, -0.14256695250274035, 0.07509579234114237, 0.11726838437647655, 0.03383851028609507, 0.02747356606454685, 0.04532979124964311, -0.07389274205980373, -0.08903105471540114, 0.3444389116532844, -0.05343184058136981, -0.2681811177011194, 0.13921183287166058, -0.08569196524291203, -0.02476693411710961, 0.1904895058287115, 0.25448503905610215, 0.046611786498848735, -0.14531403508053387, 0.029129642625901335, 4.695067663901839e-06, 0.23444165632064487, 0.06663061113835408, 0.13631203692277957, 0.11371918213553726, 0.16620640784887405, 0.06167769742134059, 0.17888342459718215, -0.19751605219368276, -0.0962690926092709, -0.2804031786219827, -0.10878154187591682, -0.23153335242692766, -0.01241400037281986, -0.1288410913549436, -0.10660874252689295, 0.3499440470581939, 0.17969339434177903, 0.12809683438390493, 0.12349088824081138, 0.4091682599022471, 0.10615463078680352, 0.03596248625263829, 0.11264000253848218, 0.2029072130098939, 0.16254632583305498, 0.060447081925893396, -0.2153083662695155, 0.06315940018935964, -0.015368362601268394] |
708.1414 | Wavelet Based Semi-blind Channel Estimation For Multiband OFDM | This paper introduces an expectation-maximization (EM) algorithm within a
wavelet domain Bayesian framework for semi-blind channel estimation of
multiband OFDM based UWB communications. A prior distribution is chosen for the
wavelet coefficients of the unknown channel impulse response in order to model
a sparseness property of the wavelet representation. This prior yields, in
maximum a posteriori estimation, a thresholding rule within the EM algorithm.
We particularly focus on reducing the number of estimated parameters by
iteratively discarding ``unsignificant'' wavelet coefficients from the
estimation process. Simulation results using UWB channels issued from both
models and measurements show that under sparsity conditions, the proposed
algorithm outperforms pilot based channel estimation in terms of mean square
error and bit error rate and enhances the estimation accuracy with less
computational complexity than traditional semi-blind methods.
| cs.NI | this paper introduces an expectationmaximization em algorithm within a wavelet domain bayesian framework for semiblind channel estimation of multiband ofdm based uwb communications a prior distribution is chosen for the wavelet coefficients of the unknown channel impulse response in order to model a sparseness property of the wavelet representation this prior yields in maximum a posteriori estimation a thresholding rule within the em algorithm we particularly focus on reducing the number of estimated parameters by iteratively discarding unsignificant wavelet coefficients from the estimation process simulation results using uwb channels issued from both models and measurements show that under sparsity conditions the proposed algorithm outperforms pilot based channel estimation in terms of mean square error and bit error rate and enhances the estimation accuracy with less computational complexity than traditional semiblind methods | [['this', 'paper', 'introduces', 'an', 'expectationmaximization', 'em', 'algorithm', 'within', 'a', 'wavelet', 'domain', 'bayesian', 'framework', 'for', 'semiblind', 'channel', 'estimation', 'of', 'multiband', 'ofdm', 'based', 'uwb', 'communications', 'a', 'prior', 'distribution', 'is', 'chosen', 'for', 'the', 'wavelet', 'coefficients', 'of', 'the', 'unknown', 'channel', 'impulse', 'response', 'in', 'order', 'to', 'model', 'a', 'sparseness', 'property', 'of', 'the', 'wavelet', 'representation', 'this', 'prior', 'yields', 'in', 'maximum', 'a', 'posteriori', 'estimation', 'a', 'thresholding', 'rule', 'within', 'the', 'em', 'algorithm', 'we', 'particularly', 'focus', 'on', 'reducing', 'the', 'number', 'of', 'estimated', 'parameters', 'by', 'iteratively', 'discarding', 'unsignificant', 'wavelet', 'coefficients', 'from', 'the', 'estimation', 'process', 'simulation', 'results', 'using', 'uwb', 'channels', 'issued', 'from', 'both', 'models', 'and', 'measurements', 'show', 'that', 'under', 'sparsity', 'conditions', 'the', 'proposed', 'algorithm', 'outperforms', 'pilot', 'based', 'channel', 'estimation', 'in', 'terms', 'of', 'mean', 'square', 'error', 'and', 'bit', 'error', 'rate', 'and', 'enhances', 'the', 'estimation', 'accuracy', 'with', 'less', 'computational', 'complexity', 'than', 'traditional', 'semiblind', 'methods']] | [-0.10410824074911383, -0.019671919199418672, -0.11082100436951105, 0.021533181096156814, -0.07110612938502947, -0.16557772590492206, 0.10040139053822854, 0.4231154237372371, -0.2791593477129936, -0.2859834231937734, 0.13638266660004425, -0.20689751506568146, -0.2044320466211782, 0.17882859249635097, -0.139597557628384, 0.15152493689853985, 0.09203936973443398, 0.040046327761732614, -0.13121820976778578, -0.24830632184703763, 0.20772530481649132, 0.12993883097974154, 0.35679552002021897, -0.08246918593739302, 0.13886384871215202, 0.08401141087166392, -0.0981979196273292, -0.05859905772197705, -0.11469371933338922, 0.11089240399260934, 0.26075842471453564, 0.16917879069224, 0.33030688140827874, -0.35155265297597416, -0.2757877395918163, 0.08905550766055687, 0.16105965430257269, 0.08210304362269548, -0.02707844976729785, -0.3173868601568616, 0.0966585290689881, -0.17469932409003378, 0.03534672798660512, -0.02158849108964205, -0.09723609845476368, 0.004936094109255534, -0.41895512826740744, 0.1536648539468073, 0.021369176615889256, 0.063425375514019, -0.056661639007954644, -0.1939441622593082, 0.08245080261347959, 0.07330355239279855, 0.029588786328811414, 0.010893077320920734, 0.10979615355698535, -0.11610700537880453, -0.10146434832668792, 0.3269098083703564, -0.06265555864811176, -0.27731780144744195, 0.08898625435227027, -0.06096194685400965, -0.08900468033881714, 0.19587288345210255, 0.24719802129727145, 0.08113694430973667, -0.17965031685307623, 0.055275618613142376, -0.012517869773392493, 0.21756586930356347, 0.037833462745094526, 0.07397928275526143, 0.07698972495272756, 0.19417397553602664, 0.10999414060408107, 0.1251966113744017, -0.201091119621952, -0.06116755189230809, -0.2506123714507199, -0.0669883124046744, -0.2797067728466712, -0.09033455300467232, -0.1424419503691472, -0.158351910357865, 0.3959427390605784, 0.22937546893237876, 0.134712751625249, 0.12898355816276028, 0.3840131836871688, 0.11796488956673644, 0.020643640123307706, 0.1389960328511034, 0.18781692990316795, 0.13484737695588803, 0.03648466653047273, -0.20249091521478615, 0.11781044340907382, 0.08230644970093495] |
708.1415 | Dijet production in diffractive deep inelastic scattering at HERA | The production of dijets in diffractive deep inelastic scattering has been
measured with the ZEUS detector at HERA using an integrated luminosity of $61
\pbi$. The dijet cross section has been measured for virtualities of the
exchanged virtual photon, $5 < Q^2 < 100 \gev^2$, and $\gamma^{*} p$
centre-of-mass energies, 100 < W < 250 GeV. The jets, identified using the
inclusive k_{T} algorithm in the $\gamma^* p$ frame, were required to have a
transverse energy $E^*_{T, \rm jet} > 4 \gev$ and the jet with the highest
transverse energy was required to have $E^*_{T,\rm jet} > 5 \gev$. All jets
were required to be in the pseudorapidity range $-3.5 < \eta^*_{\rm jet} < 0$.
The differential cross sections are compared to leading-order predictions and
next-to-leading-order QCD calculations based on recent diffractive parton
densities extracted from inclusive diffractive deep inelastic scattering data.
| hep-ex | the production of dijets in diffractive deep inelastic scattering has been measured with the zeus detector at hera using an integrated luminosity of 61 pbi the dijet cross section has been measured for virtualities of the exchanged virtual photon 5 q2 100 gev2 and gamma p centreofmass energies 100 w 250 gev the jets identified using the inclusive k_t algorithm in the gamma p frame were required to have a transverse energy e_t rm jet 4 gev and the jet with the highest transverse energy was required to have e_trm jet 5 gev all jets were required to be in the pseudorapidity range 35 eta_rm jet 0 the differential cross sections are compared to leadingorder predictions and nexttoleadingorder qcd calculations based on recent diffractive parton densities extracted from inclusive diffractive deep inelastic scattering data | [['the', 'production', 'of', 'dijets', 'in', 'diffractive', 'deep', 'inelastic', 'scattering', 'has', 'been', 'measured', 'with', 'the', 'zeus', 'detector', 'at', 'hera', 'using', 'an', 'integrated', 'luminosity', 'of', '61', 'pbi', 'the', 'dijet', 'cross', 'section', 'has', 'been', 'measured', 'for', 'virtualities', 'of', 'the', 'exchanged', 'virtual', 'photon', '5', 'q2', '100', 'gev2', 'and', 'gamma', 'p', 'centreofmass', 'energies', '100', 'w', '250', 'gev', 'the', 'jets', 'identified', 'using', 'the', 'inclusive', 'k_t', 'algorithm', 'in', 'the', 'gamma', 'p', 'frame', 'were', 'required', 'to', 'have', 'a', 'transverse', 'energy', 'e_t', 'rm', 'jet', '4', 'gev', 'and', 'the', 'jet', 'with', 'the', 'highest', 'transverse', 'energy', 'was', 'required', 'to', 'have', 'e_trm', 'jet', '5', 'gev', 'all', 'jets', 'were', 'required', 'to', 'be', 'in', 'the', 'pseudorapidity', 'range', '35', 'eta_rm', 'jet', '0', 'the', 'differential', 'cross', 'sections', 'are', 'compared', 'to', 'leadingorder', 'predictions', 'and', 'nexttoleadingorder', 'qcd', 'calculations', 'based', 'on', 'recent', 'diffractive', 'parton', 'densities', 'extracted', 'from', 'inclusive', 'diffractive', 'deep', 'inelastic', 'scattering', 'data']] | [-0.030409821712259037, 0.22023490775794002, -0.11303093938857192, 0.16488750486064757, -0.025494716432529377, -0.07245341725491071, -0.070658432347561, 0.4554782641370461, -0.1548120376146607, -0.32740357910533113, -0.10034112429155954, -0.39911255015949926, 0.17948480030702454, 0.16070368907018218, 0.12449982344284098, 0.2121948974012439, 0.11666863830065105, -0.01806441646889408, -0.025754019018582333, -0.19703837252333203, 0.2751480163658844, 0.09484621419514001, 0.21278985272728101, 0.20001575865160756, 0.1156262412794115, 0.11750250265224656, -0.06328700387410806, -0.0801643304241849, -0.1630727888446357, 0.04019959207360091, 0.3314657707649992, 0.006167171710629517, 0.08259147348698166, -0.31533300881830056, -0.06231939045489946, 0.07125972543578984, 0.14983191075317784, -0.021064794841291968, 0.014258771223440044, -0.23551581886513576, 0.13822550761318808, -0.3051475059630266, -0.079309451534524, -0.014945675973405145, 0.002141696157684522, -0.013341387212554465, -0.2702414674698306, 0.09455112043643064, -0.11364505739201472, 0.05552981003944948, -0.005645505157855353, -0.2521481823294298, -0.09895730291583589, -0.0644543432359542, 0.0927834746135927, 0.18746184471407348, 0.22671087493480585, -0.1585052275418568, -0.23441527851982347, 0.3295292696679261, 0.03340639158694157, -0.09991612158882529, 0.11073392946029832, -0.27016888793780286, -0.11985726270532764, 0.31578378913117877, 0.27845187095313595, 0.06147076122101341, -0.20736551664616745, 0.10530331135777854, 0.010608558087790413, 0.18266787698471557, 0.1395852313578518, 0.03745196575695065, 0.08991877547701571, 0.21232090970160744, -0.11455875487456015, -0.009237180320622483, -0.27411290781343106, 0.003513581672016142, -0.4277179671812858, -0.06896929715611493, -0.06023389209537947, 0.1318932914873585, -0.08143919926632366, 0.01634527140978112, 0.29510308262794765, 0.02448559017615643, 0.354433156464791, 0.016863271044984238, 0.34091380409507166, 0.12236986303729798, 0.11543830650260867, 0.13437399003001402, 0.37055415918689166, 0.19458393891230782, 0.23175906910866834, -0.1429691805639791, 0.007532692650757007, 0.0014671389006578656] |
708.1416 | MIMO-OFDM Optimal Decoding and Achievable Information Rates Under
Imperfect Channel Estimation | Optimal decoding of bit interleaved coded modulation (BICM) MIMO-OFDM where
an imperfect channel estimate is available at the receiver is investigated.
First, by using a Bayesian approach involving the channel a posteriori density,
we derive a practical decoding metric for general memoryless channels that is
robust to the presence of channel estimation errors. Then, we evaluate the
outage rates achieved by a decoder that uses our proposed metric. The
performance of the proposed decoder is compared to the classical mismatched
decoder and a theoretical decoder defined as the best decoder in the presence
of imperfect channel estimation. Numerical results over Rayleigh block fading
MIMO-OFDM channels show that the proposed decoder outperforms mismatched
decoding in terms of bit error rate and outage capacity without introducing any
additional complexity.
| cs.NI | optimal decoding of bit interleaved coded modulation bicm mimoofdm where an imperfect channel estimate is available at the receiver is investigated first by using a bayesian approach involving the channel a posteriori density we derive a practical decoding metric for general memoryless channels that is robust to the presence of channel estimation errors then we evaluate the outage rates achieved by a decoder that uses our proposed metric the performance of the proposed decoder is compared to the classical mismatched decoder and a theoretical decoder defined as the best decoder in the presence of imperfect channel estimation numerical results over rayleigh block fading mimoofdm channels show that the proposed decoder outperforms mismatched decoding in terms of bit error rate and outage capacity without introducing any additional complexity | [['optimal', 'decoding', 'of', 'bit', 'interleaved', 'coded', 'modulation', 'bicm', 'mimoofdm', 'where', 'an', 'imperfect', 'channel', 'estimate', 'is', 'available', 'at', 'the', 'receiver', 'is', 'investigated', 'first', 'by', 'using', 'a', 'bayesian', 'approach', 'involving', 'the', 'channel', 'a', 'posteriori', 'density', 'we', 'derive', 'a', 'practical', 'decoding', 'metric', 'for', 'general', 'memoryless', 'channels', 'that', 'is', 'robust', 'to', 'the', 'presence', 'of', 'channel', 'estimation', 'errors', 'then', 'we', 'evaluate', 'the', 'outage', 'rates', 'achieved', 'by', 'a', 'decoder', 'that', 'uses', 'our', 'proposed', 'metric', 'the', 'performance', 'of', 'the', 'proposed', 'decoder', 'is', 'compared', 'to', 'the', 'classical', 'mismatched', 'decoder', 'and', 'a', 'theoretical', 'decoder', 'defined', 'as', 'the', 'best', 'decoder', 'in', 'the', 'presence', 'of', 'imperfect', 'channel', 'estimation', 'numerical', 'results', 'over', 'rayleigh', 'block', 'fading', 'mimoofdm', 'channels', 'show', 'that', 'the', 'proposed', 'decoder', 'outperforms', 'mismatched', 'decoding', 'in', 'terms', 'of', 'bit', 'error', 'rate', 'and', 'outage', 'capacity', 'without', 'introducing', 'any', 'additional', 'complexity']] | [-0.2376328521503473, -0.016797784124533133, -0.04601287900829527, 0.0663127258005662, -0.028716305158959014, -0.3203099829320774, 0.1479587081240446, 0.4103005173814109, -0.2568693175732239, -0.22236829543647568, 0.11420401260825094, -0.1898420903553057, -0.21029912715816254, 0.1631191283570764, -0.19090569000984506, 0.1404641066369872, 0.08744416923049515, 0.08521822850608568, -0.14759824331666482, -0.3371961697895725, 0.23343663817036928, 0.20529421069842624, 0.35910814034745214, -0.02599448650547369, 0.1390373090008919, 0.040519320030190695, 0.008517803361192053, -0.09999616019515775, -0.11334508621425131, 0.044324976260091846, 0.3127106263789928, 0.18559513635581404, 0.20782055781318212, -0.33545659289981317, -0.3161672540742347, 0.021775969135479665, 0.1617679555467733, 0.13024468309297335, -0.06063104377634178, -0.31727427919028606, 0.16684762788863164, -0.22952792018754628, 0.1126302233200491, 0.04328763042026618, -0.12536080924090087, 0.015696495962072544, -0.4060971088648781, 0.06630783414790832, 0.052934064009175524, 0.015016514089281164, -0.028329775082020777, -0.17407546732409704, 0.05749524995413294, 0.13867668059881866, 0.03442316636164475, 0.03138655719647961, 0.07145650505902261, -0.06019573533804638, -0.13989223952691152, 0.29224548659720057, -0.0598081005370523, -0.2890573469096956, 0.09134390925819891, -0.047908188973179486, -0.009466346045296023, 0.22490328311641503, 0.26538698620888895, 0.047429249145266576, -0.14888496475943225, 0.020400327695423635, -0.00835709932799209, 0.23680216901180312, 0.09009601351783031, 0.1381498137145215, 0.09779720421418489, 0.18857979580877335, 0.06351784956054836, 0.2165171374020526, -0.19578754812420354, -0.13347460575563114, -0.29444003191695906, -0.11791965054113447, -0.2464238977001056, -0.042299327464392925, -0.13358975940280388, -0.08354930034435289, 0.32151440538348647, 0.1689747795815521, 0.09001565426514727, 0.19126706065126056, 0.4336297875490245, 0.10221010668379232, 0.012463714384774524, 0.19538705973101295, 0.19248925396571243, 0.17585971663654673, 0.004522626378984139, -0.23797132132398918, 0.13267910955327117, 0.02512951841115893] |
708.1417 | Symplectic surgeries and normal surface singularities | We show that every negative definite configuration of symplectic surfaces in
a symplectic 4--manifold has a strongly symplectically convex neighborhood. We
use this to show that, if a negative definite configuration satisfies an
additional negativity condition at each surface in the configuration, and if
the complex singularity with resolution diffeomorphic to a neighborhood of the
configuration has a smoothing, then the configuration can be symplectically
replaced by the smoothing of the singularity. This generalizes the symplectic
rational blowdown procedure used in recent constructions of small exotic
4--manifolds.
| math.SG math.GT | we show that every negative definite configuration of symplectic surfaces in a symplectic 4manifold has a strongly symplectically convex neighborhood we use this to show that if a negative definite configuration satisfies an additional negativity condition at each surface in the configuration and if the complex singularity with resolution diffeomorphic to a neighborhood of the configuration has a smoothing then the configuration can be symplectically replaced by the smoothing of the singularity this generalizes the symplectic rational blowdown procedure used in recent constructions of small exotic 4manifolds | [['we', 'show', 'that', 'every', 'negative', 'definite', 'configuration', 'of', 'symplectic', 'surfaces', 'in', 'a', 'symplectic', '4manifold', 'has', 'a', 'strongly', 'symplectically', 'convex', 'neighborhood', 'we', 'use', 'this', 'to', 'show', 'that', 'if', 'a', 'negative', 'definite', 'configuration', 'satisfies', 'an', 'additional', 'negativity', 'condition', 'at', 'each', 'surface', 'in', 'the', 'configuration', 'and', 'if', 'the', 'complex', 'singularity', 'with', 'resolution', 'diffeomorphic', 'to', 'a', 'neighborhood', 'of', 'the', 'configuration', 'has', 'a', 'smoothing', 'then', 'the', 'configuration', 'can', 'be', 'symplectically', 'replaced', 'by', 'the', 'smoothing', 'of', 'the', 'singularity', 'this', 'generalizes', 'the', 'symplectic', 'rational', 'blowdown', 'procedure', 'used', 'in', 'recent', 'constructions', 'of', 'small', 'exotic', '4manifolds']] | [-0.1774230420953412, 0.05236349421457639, -0.1477381143258649, 0.06337944975647347, -0.08259142834650374, -0.1961305176721479, -0.030702418934061438, 0.3791118804873877, -0.27978841045164854, -0.20455049865761366, 0.05664221302943368, -0.2556470196223122, -0.18551526811701813, 0.14001672142238794, -0.17299279888513788, -0.00341332512747111, 0.11618317047069812, 0.06139673082821671, -0.1452759369276464, -0.2915485600483251, 0.44063744000319777, -0.0028826734211681217, 0.16712365245938987, 0.09446764710605488, 0.15394396789307738, -0.011758986844456401, 0.07582879203355647, 0.06118993379239892, -0.15320512096697983, 0.07616315399906759, 0.22810634758708806, 0.07006743820063, 0.22913473761030312, -0.3991257661840498, -0.1946671522468671, 0.19185592264108275, 0.14834559785105803, 0.046614780807974696, -0.044956300396943226, -0.2874770339193015, 0.12359293703867615, -0.10275030764082083, -0.20919123829888372, -0.0948666083163464, -0.00031709247108163506, -0.022480113613793904, -0.20383267902940427, -0.03435133549588165, 0.11855651124583921, 0.029127934401662184, -0.04280727182183115, -0.06942099120853276, -0.08293105027606261, 0.056656910689954446, -0.01400099221574164, 0.1063840658478867, 0.10569007974586332, -0.051269617921876155, -0.08115308275232198, 0.31023834844858483, -0.062275271959089, -0.32296537432348593, 0.10718463616038876, -0.15595489796036963, -0.18655286437093183, 0.18097541526752128, 0.06898813692574528, 0.15427527717989067, -0.030714695700497806, 0.17226919222384926, -0.07936143074398753, 0.12133890674877698, 0.13074342679532094, -0.06667593516002612, 0.185690321145986, 0.10997638761751011, 0.18774655950523314, 0.10407175574232236, -0.042529719523100674, -0.05022169420517039, -0.3444530590084092, -0.21670335862081733, -0.16209206763312392, 0.14645073586411175, -0.1252273024464944, -0.21310284039027047, 0.3628921675570737, 0.007942113345595955, 0.23421134452881484, 0.05207112810478128, 0.2860799401827242, 0.04772537750802163, 0.09740171333689285, 0.07132727021201589, 0.162007004943216, 0.1363911988433108, 0.01773312149419524, -0.15591407917311478, -0.001151768756955434, 0.13031133812391896] |
708.1418 | Dynamical generalization of a solvable family of two-electron model
atoms with general interparticle repulsion | Holas, Howard and March [Phys. Lett. A {\bf 310}, 451 (2003)] have obtained
analytic solutions for ground-state properties of a whole family of
two-electron spin-compensated harmonically confined model atoms whose different
members are characterized by a specific interparticle potential energy
u($r_{12}$). Here, we make a start on the dynamic generalization of the
harmonic external potential, the motivation being the serious criticism
levelled recently against the foundations of time-dependent density-functional
theory (e.g. [J. Schirmer and A. Dreuw, Phys. Rev. A {\bf 75}, 022513 (2007)]).
In this context, we derive a simplified expression for the time-dependent
electron density for arbitrary interparticle interaction, which is fully
determined by an one-dimensional non-interacting Hamiltonian. Moreover, a
closed solution for the momentum space density in the Moshinsky model is
obtained.
| quant-ph | holas howard and march phys lett a bf 310 451 2003 have obtained analytic solutions for groundstate properties of a whole family of twoelectron spincompensated harmonically confined model atoms whose different members are characterized by a specific interparticle potential energy ur_12 here we make a start on the dynamic generalization of the harmonic external potential the motivation being the serious criticism levelled recently against the foundations of timedependent densityfunctional theory eg j schirmer and a dreuw phys rev a bf 75 022513 2007 in this context we derive a simplified expression for the timedependent electron density for arbitrary interparticle interaction which is fully determined by an onedimensional noninteracting hamiltonian moreover a closed solution for the momentum space density in the moshinsky model is obtained | [['holas', 'howard', 'and', 'march', 'phys', 'lett', 'a', 'bf', '310', '451', '2003', 'have', 'obtained', 'analytic', 'solutions', 'for', 'groundstate', 'properties', 'of', 'a', 'whole', 'family', 'of', 'twoelectron', 'spincompensated', 'harmonically', 'confined', 'model', 'atoms', 'whose', 'different', 'members', 'are', 'characterized', 'by', 'a', 'specific', 'interparticle', 'potential', 'energy', 'ur_12', 'here', 'we', 'make', 'a', 'start', 'on', 'the', 'dynamic', 'generalization', 'of', 'the', 'harmonic', 'external', 'potential', 'the', 'motivation', 'being', 'the', 'serious', 'criticism', 'levelled', 'recently', 'against', 'the', 'foundations', 'of', 'timedependent', 'densityfunctional', 'theory', 'eg', 'j', 'schirmer', 'and', 'a', 'dreuw', 'phys', 'rev', 'a', 'bf', '75', '022513', '2007', 'in', 'this', 'context', 'we', 'derive', 'a', 'simplified', 'expression', 'for', 'the', 'timedependent', 'electron', 'density', 'for', 'arbitrary', 'interparticle', 'interaction', 'which', 'is', 'fully', 'determined', 'by', 'an', 'onedimensional', 'noninteracting', 'hamiltonian', 'moreover', 'a', 'closed', 'solution', 'for', 'the', 'momentum', 'space', 'density', 'in', 'the', 'moshinsky', 'model', 'is', 'obtained']] | [-0.11260236469173773, 0.11887287399953433, -0.03782132175392242, 0.0038716176412159913, -0.029188338911435643, -0.14094467221408105, 0.07256292910353265, 0.3106110329724482, -0.15152383035957265, -0.3126057866334793, -0.020791346651929447, -0.2607340761155012, -0.15053864073038833, 0.15634104876481303, -0.037752737720558024, 0.04624579913654655, 0.031927095586815696, -0.022903900444660275, -0.07737590780588569, -0.22368940621706063, 0.2203760549968078, 0.07268520176685492, 0.24302819540240367, 0.06837154343365462, 0.07257371810532068, 0.0650096267526664, 0.008552070561563596, 0.011551675791079255, -0.2157929352137306, 0.08636573811641848, 0.18836258059476318, 0.02863447295623969, 0.29334371669798115, -0.4147686647006967, -0.23305020720285716, 0.056927833778661535, 0.06461113156046104, 0.13158036204967188, -0.018020953571797945, -0.3653227620773384, -0.00919358047358997, -0.24467585922875365, -0.18260622077590985, -0.10791510035146455, 0.1464354416630307, 0.04350044551977247, -0.28822565831808894, 0.134783240924513, 0.03436233086671802, 0.08390057362011562, -0.0888004001978113, -0.08192414288088436, -0.017609146759524696, -0.009238602364527398, -0.0479855881908481, 0.09588736815179591, 0.09751845107673378, -0.07050527647551776, -0.09050221540430775, 0.35843454523643736, -0.05384012598918415, -0.19528987519438265, 0.1894575134683095, -0.07837464055618973, -0.11291644247019755, 0.11714469115097137, 0.12802716318258375, 0.13128957843033934, -0.21731556218392292, 0.1837099796308006, -0.08901971332980778, 0.11455973357102475, 0.09727509188099352, -0.0199628574086628, 0.18845908211345677, 0.08670329139567912, -0.024090443514516485, 0.10482323926216999, -0.08709429524128982, -0.14560085357945474, -0.27799209338597586, -0.15050614554984648, -0.2299176108809646, 0.1126048698675791, 0.014055838858275521, -0.1513280328439518, 0.419659549446746, 0.08652114159950976, 0.17638751192659627, -0.002789370348241913, 0.20612109136828755, 0.1369847100777704, -0.040192043935483104, 0.12065246747043289, 0.24734433875113848, 0.18475718472771285, 0.08148782082535631, -0.2092859130209602, -0.036079697333825905, 0.08561259907761924] |
708.1419 | On Local Integrability Conditions Of Jet Groupoids | A Jet groupoid R_q over a manifold X is a special Lie groupoid consisting of
q-jets of local diffeomorphisms from X to X. As a subbundle of the q-th order
jet bundle of the trivial bundle X times X, a jet groupoid can be considered as
a nonlinear system of partial differential equations (PDE). This leads to the
concept of formal integrability. On the other hand, each jet groupoid is the
symmetry groupoid of a geometric object, modelled as a section of a natural
bundle. Using the jet groupoids, we give a local characterisation of formal
integrability for transitive jet groupoids in terms of their corresponding
geometric objects.
| math.DG | a jet groupoid r_q over a manifold x is a special lie groupoid consisting of qjets of local diffeomorphisms from x to x as a subbundle of the qth order jet bundle of the trivial bundle x times x a jet groupoid can be considered as a nonlinear system of partial differential equations pde this leads to the concept of formal integrability on the other hand each jet groupoid is the symmetry groupoid of a geometric object modelled as a section of a natural bundle using the jet groupoids we give a local characterisation of formal integrability for transitive jet groupoids in terms of their corresponding geometric objects | [['a', 'jet', 'groupoid', 'r_q', 'over', 'a', 'manifold', 'x', 'is', 'a', 'special', 'lie', 'groupoid', 'consisting', 'of', 'qjets', 'of', 'local', 'diffeomorphisms', 'from', 'x', 'to', 'x', 'as', 'a', 'subbundle', 'of', 'the', 'qth', 'order', 'jet', 'bundle', 'of', 'the', 'trivial', 'bundle', 'x', 'times', 'x', 'a', 'jet', 'groupoid', 'can', 'be', 'considered', 'as', 'a', 'nonlinear', 'system', 'of', 'partial', 'differential', 'equations', 'pde', 'this', 'leads', 'to', 'the', 'concept', 'of', 'formal', 'integrability', 'on', 'the', 'other', 'hand', 'each', 'jet', 'groupoid', 'is', 'the', 'symmetry', 'groupoid', 'of', 'a', 'geometric', 'object', 'modelled', 'as', 'a', 'section', 'of', 'a', 'natural', 'bundle', 'using', 'the', 'jet', 'groupoids', 'we', 'give', 'a', 'local', 'characterisation', 'of', 'formal', 'integrability', 'for', 'transitive', 'jet', 'groupoids', 'in', 'terms', 'of', 'their', 'corresponding', 'geometric', 'objects']] | [-0.22469102817208128, 0.009080012815064509, -0.11262291326635966, 0.0793837873228498, -0.1840221524471417, -0.11000478153841363, -0.012773420164766893, 0.373570227564347, -0.33747104170766695, -0.19245785838682894, 0.08220784512620109, -0.2403089806321077, -0.05390488835163759, 0.17699718433464617, -0.1581315068502186, 0.004651699775691937, 0.04829922004137188, 0.12374324431530787, -0.17001633007614012, -0.13923771949635852, 0.42757475250228133, 0.0036721730828975087, 0.17662203129104995, -0.0023211693774943276, 0.23756601368249566, -0.03263521843689011, 0.01607215297580869, 0.03634195903712815, -0.09269138474310576, 0.08942755071567027, 0.2827335199431723, 0.016045279214503588, 0.19176237504601618, -0.36452648379943436, -0.15249720882814102, 0.096431734449989, 0.0876336754558401, -0.06965967859313996, 0.047730161703872946, -0.33422486703084026, 0.08037912750323475, -0.22254837413008013, -0.13806819981309, -0.04965572034685734, 0.09194261520342142, -0.0038341176868588837, -0.20515956655058457, 3.088040587802728e-05, 0.14896532651726846, 0.11223432146599172, -0.015609130948885448, -0.010870793966912769, -0.16677598388977694, 0.03794022082540862, 0.024041618955649297, 0.10303491753681253, 0.23162970783865872, -0.07053000157207458, -0.15939570394241148, 0.4455309982101123, -0.053156023852622, -0.25665884834490027, 0.10822692023659194, -0.15560823328862036, -0.186630258849753, 0.19124172712111398, 0.1400125827467828, 0.18156693759158737, -0.052961914506913337, 0.13127528175849607, -0.1383021645963675, 0.0686186677172642, 0.025144159103985184, 0.024068550448174828, 0.14959053104501907, 0.18921277756561283, 0.11328516189974767, 0.08644061668342652, -0.006581450159299291, -0.01315682674585669, -0.4312783916549826, -0.23961740581284244, -0.04093097907025367, 0.22604796882606698, -0.12090427484023773, -0.16876690208704936, 0.4116633235977066, 0.04255473704715432, 0.26272330483576906, 0.07852512187997086, 0.24610804692686847, 0.09419381166312464, 0.025079362212973473, 0.020920025378776092, 0.1514344762545079, 0.25752940446276357, 0.03977326975372206, -0.10011677044288565, -0.01517537568428519, 0.21167072407142432] |
708.142 | Do we Live in a "Small Universe"? | We compute the effects of a compact flat universe on the angular correlation
function, the angular power spectrum, the circles-in-the-sky signature, and the
covariance matrix of the spherical harmonics coefficients of the cosmic
microwave background radiation using the full Boltzmann physics. Our analysis
shows that the Wilkinson Microwave Anisotropy Probe (WMAP) three-year data are
well compatible with the possibility that we live in a flat 3-torus with volume
~5x10^3 Gpc^3.
| astro-ph | we compute the effects of a compact flat universe on the angular correlation function the angular power spectrum the circlesinthesky signature and the covariance matrix of the spherical harmonics coefficients of the cosmic microwave background radiation using the full boltzmann physics our analysis shows that the wilkinson microwave anisotropy probe wmap threeyear data are well compatible with the possibility that we live in a flat 3torus with volume 5x103 gpc3 | [['we', 'compute', 'the', 'effects', 'of', 'a', 'compact', 'flat', 'universe', 'on', 'the', 'angular', 'correlation', 'function', 'the', 'angular', 'power', 'spectrum', 'the', 'circlesinthesky', 'signature', 'and', 'the', 'covariance', 'matrix', 'of', 'the', 'spherical', 'harmonics', 'coefficients', 'of', 'the', 'cosmic', 'microwave', 'background', 'radiation', 'using', 'the', 'full', 'boltzmann', 'physics', 'our', 'analysis', 'shows', 'that', 'the', 'wilkinson', 'microwave', 'anisotropy', 'probe', 'wmap', 'threeyear', 'data', 'are', 'well', 'compatible', 'with', 'the', 'possibility', 'that', 'we', 'live', 'in', 'a', 'flat', '3torus', 'with', 'volume', '5x103', 'gpc3']] | [-0.11737879585208637, 0.12064721956849098, -0.08583887277969292, 0.09593788292258978, -0.10900729858715619, -0.00676426375284791, -0.06437547832195248, 0.33536796309053896, -0.21769178761169314, -0.28023915648393866, 0.06335437554433676, -0.3510077556329114, -0.031634254746937325, 0.23663669899106027, 0.06527043656096794, 0.009891138345535313, 0.003237447282299399, -0.045496598873952666, -0.06307247609033116, -0.22558869503305426, 0.3287032427000148, 0.21673745635364736, 0.3373383608779737, -0.014422882537889694, 0.14172175482214827, -0.0320377197349444, -0.13068566477990576, 0.020194657971816403, -0.15138058951561106, 0.066944496659562, 0.1899619259705235, 0.10989958045538514, 0.10967877914330788, -0.3767618071420917, -0.24136762638975467, 0.14870737126163605, 0.0834541858373476, 0.11597808072609561, -0.06157969494649608, -0.26446408140473066, 0.02135348261467048, -0.15815237295714074, -0.16460916620147015, -0.04507617244629988, -0.028787136104490074, -0.024814687070569823, -0.24359822366386652, 0.1882812903927905, 0.00853940359749166, 0.023504700917484505, -0.0796686998302383, -0.061009543808177115, -0.06339514671292688, 0.04336310046658452, 0.013429671432822943, 0.04298463044022875, 0.16521798082228217, -0.05280680426928614, -0.06195730780101647, 0.3485824640308108, -0.16247738551880633, -0.1529403024220041, 0.0891254583639758, -0.2795863239626799, -0.1289268050010183, 0.12215907898665007, 0.1440072214496987, 0.04288730930004801, -0.11737284337702607, 0.18618741946743933, -8.77495389431715e-05, 0.23559210664991823, 0.07844255330440189, 0.04328576676281435, 0.2935964968853763, 0.1089360759061362, 0.051485027512535454, 0.09734639763482847, -0.15361216037001993, 0.012643211880432707, -0.32385891477045203, -0.07249407486191818, -0.23014356894418597, 0.11254802336417405, -0.20167913949761507, -0.17250262289973242, 0.4133232311744775, 0.0667997444048524, 0.21663700097373553, 0.04847921192912119, 0.365272778299238, 0.02595439135995028, 0.028136569048677174, 0.07244538586320622, 0.29407706595375205, 0.16027249772700347, 0.14628951233545584, -0.23275980606142962, -0.06251577440250133, -0.009021689968981913] |
708.1421 | Roles of the quark field in the infrared lattice Coulomb gauge and
Landau gauge QCD | The effective coupling of QCD is measured by using the gauge configurations
produced by the MILC collaboration in which the Kogut Susskind (KS) fermion is
incorporated and by using that produced by the QCDOC collaboration in which the
domain wall fermion (DWF) is incorporated. We fix the gauge to the Landau gauge
and to the Coulomb gauge. The infrared effective coupling in the Coulomb gauge
agrees with the recent extraction at JLab, but that in the Landau gauge shows
infrared suppression. The suppression is expected to be due to the color
anti-symmetric ghost propagator which in the unquenched configurations has
stronger infrared singularity than the color diagonal ghost propagator. The
Coulomb form factor in the infrared depends on the kind of the fermion
incorporated in the system and the temperature. The quark has the effect of
quenching randomness and the fluctuation of the color anti-symmetric ghost
propagator is reduced in the unquenched configuration, and the Kugo-Ojima
parameter c is closer to 1 in the unquenched configuration than in the quenched
configuration.
| hep-lat | the effective coupling of qcd is measured by using the gauge configurations produced by the milc collaboration in which the kogut susskind ks fermion is incorporated and by using that produced by the qcdoc collaboration in which the domain wall fermion dwf is incorporated we fix the gauge to the landau gauge and to the coulomb gauge the infrared effective coupling in the coulomb gauge agrees with the recent extraction at jlab but that in the landau gauge shows infrared suppression the suppression is expected to be due to the color antisymmetric ghost propagator which in the unquenched configurations has stronger infrared singularity than the color diagonal ghost propagator the coulomb form factor in the infrared depends on the kind of the fermion incorporated in the system and the temperature the quark has the effect of quenching randomness and the fluctuation of the color antisymmetric ghost propagator is reduced in the unquenched configuration and the kugoojima parameter c is closer to 1 in the unquenched configuration than in the quenched configuration | [['the', 'effective', 'coupling', 'of', 'qcd', 'is', 'measured', 'by', 'using', 'the', 'gauge', 'configurations', 'produced', 'by', 'the', 'milc', 'collaboration', 'in', 'which', 'the', 'kogut', 'susskind', 'ks', 'fermion', 'is', 'incorporated', 'and', 'by', 'using', 'that', 'produced', 'by', 'the', 'qcdoc', 'collaboration', 'in', 'which', 'the', 'domain', 'wall', 'fermion', 'dwf', 'is', 'incorporated', 'we', 'fix', 'the', 'gauge', 'to', 'the', 'landau', 'gauge', 'and', 'to', 'the', 'coulomb', 'gauge', 'the', 'infrared', 'effective', 'coupling', 'in', 'the', 'coulomb', 'gauge', 'agrees', 'with', 'the', 'recent', 'extraction', 'at', 'jlab', 'but', 'that', 'in', 'the', 'landau', 'gauge', 'shows', 'infrared', 'suppression', 'the', 'suppression', 'is', 'expected', 'to', 'be', 'due', 'to', 'the', 'color', 'antisymmetric', 'ghost', 'propagator', 'which', 'in', 'the', 'unquenched', 'configurations', 'has', 'stronger', 'infrared', 'singularity', 'than', 'the', 'color', 'diagonal', 'ghost', 'propagator', 'the', 'coulomb', 'form', 'factor', 'in', 'the', 'infrared', 'depends', 'on', 'the', 'kind', 'of', 'the', 'fermion', 'incorporated', 'in', 'the', 'system', 'and', 'the', 'temperature', 'the', 'quark', 'has', 'the', 'effect', 'of', 'quenching', 'randomness', 'and', 'the', 'fluctuation', 'of', 'the', 'color', 'antisymmetric', 'ghost', 'propagator', 'is', 'reduced', 'in', 'the', 'unquenched', 'configuration', 'and', 'the', 'kugoojima', 'parameter', 'c', 'is', 'closer', 'to', '1', 'in', 'the', 'unquenched', 'configuration', 'than', 'in', 'the', 'quenched', 'configuration']] | [-0.10096873583037907, 0.2506365891796542, -0.11996575015970119, 0.08737022874533738, -0.04462710724413743, -0.06809982448565768, 0.023744613519047348, 0.3495272531430101, -0.13428317413158847, -0.2545834270507446, 0.010376369432213973, -0.2651871142892592, -0.08449328984596838, 0.046601206385557765, 0.011846129221525805, 0.019364292314003783, 0.016090585222489566, 0.03963219549381637, -0.06650361070158886, -0.25520400952054895, 0.3600532339126068, 0.05397298096063716, 0.2791435241274405, 0.131522783682796, 0.049139916398480796, 0.055464542943341605, -0.0337307961570502, -0.012375095780198162, -0.06935966375996346, 0.04372217198724897, 0.15038834906105572, -0.00811202545808247, 0.15959276897527758, -0.36139357952695145, -0.17927949649434297, 0.049965483664088386, 0.1571464850757903, 0.12752332743216438, -0.036825515282182406, -0.3076158756341197, 0.06825228741771014, -0.16566781330396207, -0.1649353667611681, -0.05579205725222216, -0.02856353854716957, -0.10519915196107842, -0.31980891904265385, 0.07954464043314945, -0.02369511488767896, 0.04357760603000459, -0.030420489297439044, -0.16382820236194356, -0.08774664407944557, 0.07516728153408707, 0.10444640168547085, 0.15813349735002682, 0.12579059652804242, -0.23438454440615156, -0.09973183035447497, 0.42507250842295197, -0.09538098032622358, -0.17346185188718707, 0.1467890662736156, -0.17196010098362352, -0.09663460498446957, 0.12917809978083908, 0.061495936850810215, 0.06896636346409545, -0.15328110565638375, 0.18273135239349633, -0.026210592461924195, 0.15154668476707603, 0.10930099324677249, 0.054998561778045886, 0.2000095905213241, 0.12749970342612646, 0.0005465567415601939, 0.14909235106873714, -0.06499121528069832, -0.13663639328769295, -0.3213168109129918, -0.08244754078836121, -0.19979983040578228, 0.05947221204371611, -0.11751341834698044, -0.11825212798141248, 0.39055782423081686, 0.15125452747775447, 0.1486153522074394, -0.0455457187395227, 0.2712649805484917, 0.1395581882114778, 0.1917648298934113, 0.030644223306393416, 0.31935501221175255, 0.13285999811848093, 0.13298326241919955, -0.3566038051772623, -0.08164026865896316, 0.13021096801902685] |
708.1422 | HI Clouds detected towards Virgo with the Arecibo Legacy Fast ALFA
Survey | The Arecibo Legacy Fast ALFA survey is in the process of yielding a complete
HI dataset of the Virgo Cluster and its environs (Giovanelli et al. 2007, Kent
et al., in preparation). Assuming a distance to Virgo of 16.7 Mpc, the minimum
detectable HI mass by ALFALFA is of order 2 x 10^7 Msun. A number of the HI
detections appear to have interesting properties. Some appear associated with,
but offset from, low surface brightness optical counterparts; others, at larger
spatial offsets, may be tidally related to optical counterparts. Yet another
class includes detections which are not identifiable with any optical
counterparts. We present the ALFALFA results on these objects in the Virgo
region, as well as followup aperture synthesis observations obtained with the
VLA.
| astro-ph | the arecibo legacy fast alfa survey is in the process of yielding a complete hi dataset of the virgo cluster and its environs giovanelli et al 2007 kent et al in preparation assuming a distance to virgo of 167 mpc the minimum detectable hi mass by alfalfa is of order 2 x 107 msun a number of the hi detections appear to have interesting properties some appear associated with but offset from low surface brightness optical counterparts others at larger spatial offsets may be tidally related to optical counterparts yet another class includes detections which are not identifiable with any optical counterparts we present the alfalfa results on these objects in the virgo region as well as followup aperture synthesis observations obtained with the vla | [['the', 'arecibo', 'legacy', 'fast', 'alfa', 'survey', 'is', 'in', 'the', 'process', 'of', 'yielding', 'a', 'complete', 'hi', 'dataset', 'of', 'the', 'virgo', 'cluster', 'and', 'its', 'environs', 'giovanelli', 'et', 'al', '2007', 'kent', 'et', 'al', 'in', 'preparation', 'assuming', 'a', 'distance', 'to', 'virgo', 'of', '167', 'mpc', 'the', 'minimum', 'detectable', 'hi', 'mass', 'by', 'alfalfa', 'is', 'of', 'order', '2', 'x', '107', 'msun', 'a', 'number', 'of', 'the', 'hi', 'detections', 'appear', 'to', 'have', 'interesting', 'properties', 'some', 'appear', 'associated', 'with', 'but', 'offset', 'from', 'low', 'surface', 'brightness', 'optical', 'counterparts', 'others', 'at', 'larger', 'spatial', 'offsets', 'may', 'be', 'tidally', 'related', 'to', 'optical', 'counterparts', 'yet', 'another', 'class', 'includes', 'detections', 'which', 'are', 'not', 'identifiable', 'with', 'any', 'optical', 'counterparts', 'we', 'present', 'the', 'alfalfa', 'results', 'on', 'these', 'objects', 'in', 'the', 'virgo', 'region', 'as', 'well', 'as', 'followup', 'aperture', 'synthesis', 'observations', 'obtained', 'with', 'the', 'vla']] | [-0.07916166313365101, 0.06371461756899953, -0.019065257288515568, 0.0340022173939069, -0.1434798388350755, -0.042243228696286675, 0.05216385606117547, 0.44700409570895133, -0.1315350525006652, -0.3787823259569705, 0.12769634946715086, -0.3145937364250421, -0.09387736625783145, 0.20664484920725226, -0.06062709627882577, 0.0018163011427968741, 0.07891769633442164, -0.12360154104232789, -0.0618139986153692, -0.304454536087811, 0.19752130460739137, 0.11500640853121877, 0.15584081900678576, -0.07392697250843049, 0.06850297225266695, -0.08835307890921831, -0.1281759832315147, -0.017576331801712513, -0.12434470353275537, 0.046791790178045634, 0.2781212624888867, 0.16180307579319925, 0.208074480837211, -0.3165978118479252, -0.17423605857603253, 0.0857242739200592, 0.16034191884286703, 0.08526261963229627, -0.05612438762467355, -0.39297586219012737, 0.07079898604564369, -0.191635034494102, -0.19194665292277932, 0.05934708216786384, 0.07710819713026285, 0.08497696961835027, -0.19348643973842264, 0.15614026333764194, 0.006020140153355897, 0.0825629198551178, -0.08677412306237965, -0.13151695420220494, -0.05759067411161959, 0.04365932967700064, -0.08438766328641213, 0.11424990220367909, 0.1683384891115129, -0.1276362306959927, -0.03371777207404375, 0.37221934834122655, -0.047494909194298086, 0.004409052312374115, 0.2566379392370582, -0.19501145358756183, -0.17698135463893414, 0.16372320227790624, 0.1629805738851428, 0.05735405539721251, -0.146949698202312, 0.046904319608351216, -0.05539625685289502, 0.21030001053214073, 0.07391077859327197, 0.12538436330482364, 0.2742466853260994, 0.06084089900366962, 0.08879723371006548, 0.10123466394189745, -0.2561630373247899, 0.021969207528047263, -0.23733981829881667, -0.08139821524173022, -0.17250626624003051, 0.0949910916389199, -0.04634759552020114, -0.09600378891453147, 0.3181224589347839, 0.10318373059947043, 0.21725505253113805, 0.08269224759796634, 0.2970796757377684, 0.048491557976230976, 0.12416386605426669, 0.13626400860771537, 0.3188533957723994, 0.16700690481998026, 0.08738396969810128, -0.14566736851632595, 0.04202914368640631, 0.005799624959006906] |
708.1423 | A property of cyclotomic polynomials | Given two cyclotomic polynomials $\Phi_n(x)$ and $\Phi_m(x)$, $n\not= m$, we
determine the minimal natural number k such that we can write $$k=a(x)\Phi_n
(x)+b(x)\Phi_m(x),$$ with a(x) and b(x) integer polynomials.
| math.NT | given two cyclotomic polynomials phi_nx and phi_mx nnot m we determine the minimal natural number k such that we can write kaxphi_n xbxphi_mx with ax and bx integer polynomials | [['given', 'two', 'cyclotomic', 'polynomials', 'phi_nx', 'and', 'phi_mx', 'nnot', 'm', 'we', 'determine', 'the', 'minimal', 'natural', 'number', 'k', 'such', 'that', 'we', 'can', 'write', 'kaxphi_n', 'xbxphi_mx', 'with', 'ax', 'and', 'bx', 'integer', 'polynomials']] | [-0.315015913058932, 0.1299419321048145, 0.03376309804689999, -0.0050432520130505925, -0.1638054347758253, -0.23437973162016043, 0.024923901431835614, 0.3211329887003208, -0.41193467808457523, -0.24889703954641634, 0.06364530038375121, -0.2654789792230496, -0.16409619624475733, 0.14589839339113006, -0.07316867747487357, 0.05322153035264749, -0.04096531524108006, 0.1348691167524801, -0.08576910300717618, -0.3635518168314145, 0.25778382543760997, -0.1256484387872311, 0.026805035375918333, -0.025540116466940023, 0.13194481612971196, 0.011793744195109377, 0.03526383690321101, -0.06327360345480534, -0.19251234085403177, 0.04851035100336258, 0.34394752821670127, 0.1940182727904847, 0.1971847374851887, -0.3568075499855555, -0.012998548622887868, 0.2899191365219079, 0.17477459202592188, -0.10145568234237054, 0.03673085756599903, -0.11419088644190477, 0.17350934273921526, -0.11707647209270643, -0.12464958855595726, -0.12417804419349593, 0.08645021743499316, 0.09878369907920177, -0.37579105249964273, -0.07791057938280013, 0.06483512760426563, 0.13905788743152067, 0.0004822939562682922, -0.29571853330931985, -0.018573407692691453, 0.017262721523785822, -0.0337289572478487, 0.0773787337104575, 0.013538647120675215, -0.029828195818341695, -0.06489931978285313, 0.3622332668075195, -0.11070172961514729, -0.22256919970879188, 0.12037614407017827, -0.24778272512440497, -0.2014892093765621, 0.08212726093971959, 0.05586955320233336, 0.15264967671380594, 0.014123663377876464, 0.18039917644525233, -0.19922056804912594, 0.11191365516816194, 0.1902515872095067, 0.019887236251424138, 0.16340766453112548, -0.0979102602085242, -0.01043895143084228, 0.15188225724089605, -0.01262082804280978, 0.06473681502617322, -0.2958460309757636, -0.20350294585268086, -0.1936693494924559, 0.1787070602339764, -0.18766716806679212, -0.12262858359967001, 0.34922350907268435, 0.11914704125732757, 0.17766174845970595, 0.1474857716462933, 0.14653887535230473, 0.18325579861322275, 0.01752378949179099, 0.10063898377120495, -0.015421944939029904, 0.19655298305532107, -0.015788736251684334, -0.19856254942715168, -0.04845444759568916, 0.19534814185821092] |
708.1424 | Charge and spin response functions for the Tomonaga model with quadratic
dispersion and different interactions | We derive expressions for the charge and spin response function for the
Tomonaga model with quadratic dispersion and arbitrary (but finite for zero
momentum) interaction. For constant interaction these expressions are analytic
and for other types of interaction only a simple matrix has to be diagonalised.
We use a truncated expansion in particle-hole states with and without inclusion
of correlations in the ground state yielding an exact result for pure
intra-band interaction. We also discuss the possibility of power-laws in the
dynamic structure factor for the spinful and spinless model.
| cond-mat.str-el | we derive expressions for the charge and spin response function for the tomonaga model with quadratic dispersion and arbitrary but finite for zero momentum interaction for constant interaction these expressions are analytic and for other types of interaction only a simple matrix has to be diagonalised we use a truncated expansion in particlehole states with and without inclusion of correlations in the ground state yielding an exact result for pure intraband interaction we also discuss the possibility of powerlaws in the dynamic structure factor for the spinful and spinless model | [['we', 'derive', 'expressions', 'for', 'the', 'charge', 'and', 'spin', 'response', 'function', 'for', 'the', 'tomonaga', 'model', 'with', 'quadratic', 'dispersion', 'and', 'arbitrary', 'but', 'finite', 'for', 'zero', 'momentum', 'interaction', 'for', 'constant', 'interaction', 'these', 'expressions', 'are', 'analytic', 'and', 'for', 'other', 'types', 'of', 'interaction', 'only', 'a', 'simple', 'matrix', 'has', 'to', 'be', 'diagonalised', 'we', 'use', 'a', 'truncated', 'expansion', 'in', 'particlehole', 'states', 'with', 'and', 'without', 'inclusion', 'of', 'correlations', 'in', 'the', 'ground', 'state', 'yielding', 'an', 'exact', 'result', 'for', 'pure', 'intraband', 'interaction', 'we', 'also', 'discuss', 'the', 'possibility', 'of', 'powerlaws', 'in', 'the', 'dynamic', 'structure', 'factor', 'for', 'the', 'spinful', 'and', 'spinless', 'model']] | [-0.13483087954163137, 0.16814913575476062, -0.06203118303997649, 0.0813089109853738, -0.04923171730091174, -0.16424654211538534, 0.040621446049772206, 0.37856738484568064, -0.24002448407053534, -0.2745376234667169, 0.023747547008355872, -0.29838234020604026, -0.1196882939328336, 0.14136314225227883, 0.09634163852574097, 0.0219554751050762, -0.014456441677692864, 0.035561508597392176, -0.11746353737285567, -0.15908855634431043, 0.32966893638820494, -0.0087732403849562, 0.23824377167038618, 0.10976638603541586, 0.08335576682455009, 0.09006222722431025, 0.04870488877511687, 0.004019337561395433, -0.11974684798624366, 0.06415197771598792, 0.21904524629676922, 0.01210666819372111, 0.17265179915508877, -0.4430701976021131, -0.1891873837241696, 0.06375972475507297, 0.14152181156290075, 0.17737538179175721, -0.04747872284303109, -0.2667023931629956, 0.023606853576428773, -0.27118325361775025, -0.18191705969058805, -0.13364784710057492, 0.06433000812863207, 0.009351280828317007, -0.31238971314095476, 0.1450586213390731, 0.06291549563175067, 0.03533835450394286, -0.13090829976782617, -0.1262583404003332, 0.014194492173070708, 0.12414101836685505, 0.015285182131143908, -0.015966895853893624, 0.04647418926469982, -0.1800620760458211, -0.09555044420994818, 0.34383256677538154, -0.0972945198791826, -0.2556121980667942, 0.17932509407918487, -0.14699731952407294, -0.07324187218522032, 0.10357314009193538, 0.13620167597093516, 0.07068922517614232, -0.14012802267097868, 0.11566303763215223, -0.011864774870789713, 0.12764313623516096, 0.014075160818174481, 0.05895038051530719, 0.18759949152461355, 0.10097315510631436, 0.043251536331242985, 0.14672802338932847, -0.060424947945608036, -0.1273805961271541, -0.30198482291566003, -0.15838399475000592, -0.1773343567400136, 0.040960594974199516, -0.09818364658519083, -0.17920820348792607, 0.41920222802501583, 0.10257931437032917, 0.19255871609525962, 0.08471348704770207, 0.26468528128332564, 0.19070321643311117, 0.04385742678876138, 0.05219508763790751, 0.23268445629057372, 0.13212182933412905, 0.008576675618274344, -0.25400200290088026, 0.04215283639625543, 0.0642397136013541] |
708.1425 | Convergence analysis of the B\"ol-Reese discrete model for rubber | In a recent work, B\"ol and Reese have introduced a discrete model for
polymer networks by means of a finite element modeling. They have also provided
a comparison with real experiments. A key parameter of their model is the size
h of the finite element mesh, that is meant to be small in practice. The aim of
the present work is to study the asymptotic behaviour (and the convergence of
the finite element method) when the meshsize goes to zero. In particular, we
address the properties satisfied by the model at the limit, depending on the
properties of the mesh.
| math-ph math.MP math.NA | in a recent work bol and reese have introduced a discrete model for polymer networks by means of a finite element modeling they have also provided a comparison with real experiments a key parameter of their model is the size h of the finite element mesh that is meant to be small in practice the aim of the present work is to study the asymptotic behaviour and the convergence of the finite element method when the meshsize goes to zero in particular we address the properties satisfied by the model at the limit depending on the properties of the mesh | [['in', 'a', 'recent', 'work', 'bol', 'and', 'reese', 'have', 'introduced', 'a', 'discrete', 'model', 'for', 'polymer', 'networks', 'by', 'means', 'of', 'a', 'finite', 'element', 'modeling', 'they', 'have', 'also', 'provided', 'a', 'comparison', 'with', 'real', 'experiments', 'a', 'key', 'parameter', 'of', 'their', 'model', 'is', 'the', 'size', 'h', 'of', 'the', 'finite', 'element', 'mesh', 'that', 'is', 'meant', 'to', 'be', 'small', 'in', 'practice', 'the', 'aim', 'of', 'the', 'present', 'work', 'is', 'to', 'study', 'the', 'asymptotic', 'behaviour', 'and', 'the', 'convergence', 'of', 'the', 'finite', 'element', 'method', 'when', 'the', 'meshsize', 'goes', 'to', 'zero', 'in', 'particular', 'we', 'address', 'the', 'properties', 'satisfied', 'by', 'the', 'model', 'at', 'the', 'limit', 'depending', 'on', 'the', 'properties', 'of', 'the', 'mesh']] | [-0.07661998604336986, 0.09051398083567619, -0.10290439826640067, 0.012159861380932852, -0.03500082820653915, -0.09589212289545684, 0.04831824900815263, 0.3632619206234813, -0.2678186016436666, -0.2661036752164364, 0.14008894702070393, -0.25926575213670733, -0.11587653913069516, 0.1672866949089803, -0.06293508170638233, 0.07253392185084521, 0.058253893121145664, 0.047474722255719824, -0.05566665972466581, -0.25695827349089084, 0.3223786762612872, 0.0767000482790172, 0.2646559833083302, 0.062124821664765476, 0.08919048627838493, -0.05787564246391412, -0.03999581187032163, 0.07423002464696765, -0.15265413149529194, 0.11259374404326081, 0.21284448644611983, 0.05886112620588392, 0.3119500307366252, -0.40236741619184613, -0.22667407339438797, 0.10902715239673853, 0.1385271721170284, 0.08223167430609464, -0.031372449366608636, -0.2299569802195765, 0.163882407854544, -0.16963728816714138, -0.15382286272011697, -0.032589754052460194, 0.008557158783078193, 0.062276460721623156, -0.2645355411246419, 0.016100432854436804, 0.0837964244792238, 0.07725310240872205, -0.010091533679515123, -0.07506397375836968, 0.004099445291794837, 0.14860075171018253, 0.053496361932484436, -0.0022325366805307566, 0.053767392276786265, -0.10396156345494091, -0.05993244051001966, 0.3985805634688586, -0.06983378232922405, -0.2503629585914314, 0.17955199359916152, -0.13793813369236888, -0.10952794502489269, 0.08706597505602985, 0.16454037627205254, 0.15923727182205766, -0.10647292219873634, 0.16820309717557394, -0.04645412405952811, 0.1483298209030181, -0.004417170893866569, -0.011611413357313723, 0.12733260965906085, 0.20081616733688862, 0.04680724852252752, 0.12740273353061637, -0.06850084481178782, -0.0799528565024957, -0.3263205652870238, -0.16768026148434728, -0.20627577636623756, 0.006404609335586429, -0.10890188539255177, -0.18879925977438689, 0.39492799557745456, 0.16781425442546605, 0.21570675457827748, 0.053841666365042326, 0.2772963399090804, 0.1358091338351369, 0.05178141481941566, 0.04361164655070752, 0.2097866519447416, 0.1535910606989637, 0.09082182727288454, -0.2391134080523625, 0.0794000590138603, 0.11742984800599515] |
708.1426 | A Comparison between 1.5$\mu$m Photoluminescence from Er-Doped Si-Rich
Sio2 Films and (Er,Ge) Co-Doped Sio2 Films | We have studied the 1.5 $\mu$m photoluminescence (PL) from Er ions after
annealing two different sample sets in the temperature range 500 °C to 1100
°C. The different sample sets were made by magnetron sputtering from
composite targets of Si+SiO2+Er and Ge+SiO2+Er respectively for the different
sample sets. The annealing induces Si - and Ge-nanoclusters respectively in the
different film sets. The PL peak reaches its maximum intensity after annealing
at 700 °C for samples with Ge nanoclusters and after annealing at 800
°C for samples with Si. No luminescence from nanoclusters was detected in
neither sample sets. This is interpreted as an energy transfer from the
nanocluster to Er atoms. Transmission electron microscopy shows that after
annealing to the respective temperature yielding the maximum PL intensity both
the Ge and Si clusters are non-crystalline. Here we mainly compare the spectral
shape of Er luminescence emitted in these different nanostructured matrixes.
The PL spectral shapes are clearly different and witness a different local
environment for the Er ions.
| cond-mat.mtrl-sci | we have studied the 15 mum photoluminescence pl from er ions after annealing two different sample sets in the temperature range 500 degc to 1100 degc the different sample sets were made by magnetron sputtering from composite targets of sisio2er and gesio2er respectively for the different sample sets the annealing induces si and genanoclusters respectively in the different film sets the pl peak reaches its maximum intensity after annealing at 700 degc for samples with ge nanoclusters and after annealing at 800 degc for samples with si no luminescence from nanoclusters was detected in neither sample sets this is interpreted as an energy transfer from the nanocluster to er atoms transmission electron microscopy shows that after annealing to the respective temperature yielding the maximum pl intensity both the ge and si clusters are noncrystalline here we mainly compare the spectral shape of er luminescence emitted in these different nanostructured matrixes the pl spectral shapes are clearly different and witness a different local environment for the er ions | [['we', 'have', 'studied', 'the', '15', 'mum', 'photoluminescence', 'pl', 'from', 'er', 'ions', 'after', 'annealing', 'two', 'different', 'sample', 'sets', 'in', 'the', 'temperature', 'range', '500', 'degc', 'to', '1100', 'degc', 'the', 'different', 'sample', 'sets', 'were', 'made', 'by', 'magnetron', 'sputtering', 'from', 'composite', 'targets', 'of', 'sisio2er', 'and', 'gesio2er', 'respectively', 'for', 'the', 'different', 'sample', 'sets', 'the', 'annealing', 'induces', 'si', 'and', 'genanoclusters', 'respectively', 'in', 'the', 'different', 'film', 'sets', 'the', 'pl', 'peak', 'reaches', 'its', 'maximum', 'intensity', 'after', 'annealing', 'at', '700', 'degc', 'for', 'samples', 'with', 'ge', 'nanoclusters', 'and', 'after', 'annealing', 'at', '800', 'degc', 'for', 'samples', 'with', 'si', 'no', 'luminescence', 'from', 'nanoclusters', 'was', 'detected', 'in', 'neither', 'sample', 'sets', 'this', 'is', 'interpreted', 'as', 'an', 'energy', 'transfer', 'from', 'the', 'nanocluster', 'to', 'er', 'atoms', 'transmission', 'electron', 'microscopy', 'shows', 'that', 'after', 'annealing', 'to', 'the', 'respective', 'temperature', 'yielding', 'the', 'maximum', 'pl', 'intensity', 'both', 'the', 'ge', 'and', 'si', 'clusters', 'are', 'noncrystalline', 'here', 'we', 'mainly', 'compare', 'the', 'spectral', 'shape', 'of', 'er', 'luminescence', 'emitted', 'in', 'these', 'different', 'nanostructured', 'matrixes', 'the', 'pl', 'spectral', 'shapes', 'are', 'clearly', 'different', 'and', 'witness', 'a', 'different', 'local', 'environment', 'for', 'the', 'er', 'ions']] | [0.018510535570917787, 0.1959697322785271, -0.05359101420688647, -0.005685818624553532, 0.0967099161707887, -0.15408575822167644, 0.08117324612976518, 0.5279672006826576, -0.26386249014006063, -0.37973402290343783, 0.016311947702112178, -0.37490271753063653, 0.025119817906581774, 0.20005170325748622, 0.010593088437439648, 0.0209434429043762, -0.0005803953830675199, -0.08229332216788174, -0.06291595398925426, -0.24663090998897466, 0.2561311499647251, 0.08477755606872961, 0.3419287568994616, 0.04857212732682323, 0.0419039944067552, 0.0005989178927138266, 0.07563088840248472, 0.030272630743239437, -0.14321085784844975, 0.030378888967722405, 0.23480044933115474, 0.058737633959958103, 0.20071308938332083, -0.4319105118208937, -0.2039801388517201, 0.058946643626635396, 0.10394327072057555, 0.1008501028111091, -0.0745604193738162, -0.19518224631504313, 0.10815821318864459, -0.009797923880197653, -0.014906955736677913, 0.020359231306739698, 0.023445976969059104, 0.013553266666216276, -0.22467765020009234, 0.06592485959579168, 0.03229629382400251, 0.16434880154116488, -0.10649790793796433, -0.1911635729455866, -0.10026447283297141, 0.02446312093028299, -0.01958208921416549, -0.03861723804460248, 0.25210702686610337, -0.010219973590077333, -0.05832872505685905, 0.3099631305085495, -0.0556715238362369, 0.05509313317328101, 0.22015087563181068, -0.16058773113550937, -0.03514584679267988, 0.23315142401176073, 0.09128719628447803, 0.15827793300949697, -0.18496618238732038, 0.04228551706644173, 0.08037234843771042, 0.2238802627274176, 0.1865991853438772, 0.029621332441598584, 0.17248323156566517, 0.16551766925059805, -0.012108201170964847, 0.17709360142499664, -0.1953101135426905, 0.004115073003226936, -0.19634193885594425, -0.16947904284248447, -0.18440812392438558, 0.08736637946622511, -0.16198739051354252, -0.12103738984456514, 0.3817191515004308, 0.08661042761750429, 0.20943552657121384, 0.003677140217183567, 0.20592206790361825, 0.057057836747068304, 0.046053227630625596, 0.029624000450073764, 0.24332512802694264, 0.155444685563164, 0.13835812569027994, -0.2555558951912312, 0.061565075667359206, -0.08973564239355122] |
708.1427 | Infrared Emission from the Nearby Cool Core Cluster Abell 2597 | We observed the brightest central galaxy (BCG) in the nearby (z=0.0821) cool
core galaxy cluster Abell 2597 with the IRAC and MIPS instruments on board the
Spitzer Space Telescope. The BCG was clearly detected in all Spitzer
bandpasses, including the 70 and 160 micron wavebands. We report aperture
photometry of the BCG. The spectral energy distribution exhibits a clear excess
in the FIR over a Rayleigh-Jeans stellar tail, indicating a star formation rate
of ~4-5 solar masses per year, consistent with the estimates from the UV and
its H-alpha luminosity. This large FIR luminosity is consistent with that of a
starburst or a Luminous Infrared Galaxy (LIRG), but together with a very
massive and old population of stars that dominate the energy output of the
galaxy. If the dust is at one temperature, the ratio of 70 to 160 micron fluxes
indicate that the dust emitting mid-IR in this source is somewhat hotter than
the dust emitting mid-IR in two BCGs at higher-redshift (z~0.2-0.3) and higher
FIR luminosities observed earlier by Spitzer, in clusters Abell 1835 and Zwicky
3146.
| astro-ph | we observed the brightest central galaxy bcg in the nearby z00821 cool core galaxy cluster abell 2597 with the irac and mips instruments on board the spitzer space telescope the bcg was clearly detected in all spitzer bandpasses including the 70 and 160 micron wavebands we report aperture photometry of the bcg the spectral energy distribution exhibits a clear excess in the fir over a rayleighjeans stellar tail indicating a star formation rate of 45 solar masses per year consistent with the estimates from the uv and its halpha luminosity this large fir luminosity is consistent with that of a starburst or a luminous infrared galaxy lirg but together with a very massive and old population of stars that dominate the energy output of the galaxy if the dust is at one temperature the ratio of 70 to 160 micron fluxes indicate that the dust emitting midir in this source is somewhat hotter than the dust emitting midir in two bcgs at higherredshift z0203 and higher fir luminosities observed earlier by spitzer in clusters abell 1835 and zwicky 3146 | [['we', 'observed', 'the', 'brightest', 'central', 'galaxy', 'bcg', 'in', 'the', 'nearby', 'z00821', 'cool', 'core', 'galaxy', 'cluster', 'abell', '2597', 'with', 'the', 'irac', 'and', 'mips', 'instruments', 'on', 'board', 'the', 'spitzer', 'space', 'telescope', 'the', 'bcg', 'was', 'clearly', 'detected', 'in', 'all', 'spitzer', 'bandpasses', 'including', 'the', '70', 'and', '160', 'micron', 'wavebands', 'we', 'report', 'aperture', 'photometry', 'of', 'the', 'bcg', 'the', 'spectral', 'energy', 'distribution', 'exhibits', 'a', 'clear', 'excess', 'in', 'the', 'fir', 'over', 'a', 'rayleighjeans', 'stellar', 'tail', 'indicating', 'a', 'star', 'formation', 'rate', 'of', '45', 'solar', 'masses', 'per', 'year', 'consistent', 'with', 'the', 'estimates', 'from', 'the', 'uv', 'and', 'its', 'halpha', 'luminosity', 'this', 'large', 'fir', 'luminosity', 'is', 'consistent', 'with', 'that', 'of', 'a', 'starburst', 'or', 'a', 'luminous', 'infrared', 'galaxy', 'lirg', 'but', 'together', 'with', 'a', 'very', 'massive', 'and', 'old', 'population', 'of', 'stars', 'that', 'dominate', 'the', 'energy', 'output', 'of', 'the', 'galaxy', 'if', 'the', 'dust', 'is', 'at', 'one', 'temperature', 'the', 'ratio', 'of', '70', 'to', '160', 'micron', 'fluxes', 'indicate', 'that', 'the', 'dust', 'emitting', 'midir', 'in', 'this', 'source', 'is', 'somewhat', 'hotter', 'than', 'the', 'dust', 'emitting', 'midir', 'in', 'two', 'bcgs', 'at', 'higherredshift', 'z0203', 'and', 'higher', 'fir', 'luminosities', 'observed', 'earlier', 'by', 'spitzer', 'in', 'clusters', 'abell', '1835', 'and', 'zwicky', '3146']] | [0.02458135739317445, 0.10566492444105893, -0.08538964734667673, 0.11931670057865681, -0.09805819876205862, -0.034074239943348204, 0.033962105634991684, 0.5026326108328457, -0.06655882588082368, -0.3472905599839944, 0.04048033511427403, -0.34089746453224384, 0.019486062854330716, 0.18537836328817336, -0.032929866686567416, -0.07279645521798582, 0.043063988833682995, -0.16722291997014727, 0.007741061602484996, -0.31559680964259235, 0.2646551243759244, 0.10454592558476712, 0.13333116071272705, -0.04166279599726117, 0.0890583264558217, -0.13548835174716467, -0.14166207272850767, -0.06374323235154178, -0.13827606807419784, 0.021811877338634544, 0.24869001878415073, 0.09591391874905207, 0.20925502545088426, -0.2696199083451036, -0.17922529603573156, 0.06696696138248763, 0.1858772500559581, -0.0690322161636539, -0.02327757988283775, -0.2498214442553467, 0.03381314294870589, -0.16765799702472944, -0.17469133221604158, 0.20271668193293424, 0.04721436732027201, 0.021913086831915667, -0.19026998999169586, 0.18653251177451818, -0.03246619986037219, 0.12322204506711504, -0.1891072245084488, -0.12280083618350535, -0.13165254214604244, 0.013654883236848025, -0.05064883716300379, 0.13318381343146152, 0.22931687328860414, -0.15545665437366044, 0.0027340918560850554, 0.38066147082724594, -0.07344567005279638, 0.1644873003470165, 0.25716226562264494, -0.27039402616392383, -0.1866289422243792, 0.2001499366216809, 0.0850331989096155, 0.06849156404642502, -0.18834536419609071, 0.012041901902285244, -0.042464094578097286, 0.30151200335597694, 0.04626082968846088, 0.14065470386006448, 0.3628057084649843, 0.09097818440859148, 0.049405024244512465, 0.14461163216163683, -0.3502260122691117, -0.0021127579264165887, -0.2235946544317929, -0.08125288961403197, -0.14812994295252843, 0.10424387239455636, -0.18537322858393365, -0.09060527514532994, 0.32448814043029883, 0.09726377173883621, 0.20743923638745695, 0.1146586386996774, 0.3412689894318123, 0.058391269559805496, 0.19104555143334762, 0.16772909267862748, 0.3393709877110477, 0.1631539153408613, 0.11281108178976174, -0.25637130784885387, 0.0015908936160150264, -0.036718536588472614] |
708.1428 | Qualitative properties of coupled parabolic systems of evolution
equations | We apply functional analytical and variational methods in order to study
well-posedness and qualitative properties of evolution equations on product
Hilbert spaces. To this aim we introduce an algebraic formalism for matrices of
sesquilinear mappings. We apply our results to parabolic problems of different
nature: a coupled diffusive system arising in neurobiology, a strongly damped
wave equation, a heat equation with dynamic boundary conditions, and a general
semilinear Hodgkin--Huxley sytem.
| math.FA math.AP | we apply functional analytical and variational methods in order to study wellposedness and qualitative properties of evolution equations on product hilbert spaces to this aim we introduce an algebraic formalism for matrices of sesquilinear mappings we apply our results to parabolic problems of different nature a coupled diffusive system arising in neurobiology a strongly damped wave equation a heat equation with dynamic boundary conditions and a general semilinear hodgkinhuxley sytem | [['we', 'apply', 'functional', 'analytical', 'and', 'variational', 'methods', 'in', 'order', 'to', 'study', 'wellposedness', 'and', 'qualitative', 'properties', 'of', 'evolution', 'equations', 'on', 'product', 'hilbert', 'spaces', 'to', 'this', 'aim', 'we', 'introduce', 'an', 'algebraic', 'formalism', 'for', 'matrices', 'of', 'sesquilinear', 'mappings', 'we', 'apply', 'our', 'results', 'to', 'parabolic', 'problems', 'of', 'different', 'nature', 'a', 'coupled', 'diffusive', 'system', 'arising', 'in', 'neurobiology', 'a', 'strongly', 'damped', 'wave', 'equation', 'a', 'heat', 'equation', 'with', 'dynamic', 'boundary', 'conditions', 'and', 'a', 'general', 'semilinear', 'hodgkinhuxley', 'sytem']] | [-0.15682825555226632, 0.029772575979794574, -0.08120015042700938, 0.08871307965600864, -0.13891497907295292, -0.11994096072656768, -0.022770301292517354, 0.3000505693389901, -0.32762343138456346, -0.1840417066788567, 0.10697136759824519, -0.2920762431940862, -0.2215866491331586, 0.1912276974746159, -0.06147500933813197, 0.11219260280153581, 0.08951052516432745, -0.025637219716528697, -0.14500108011333004, -0.1964619816380686, 0.42565274238586426, -0.055323227228862897, 0.22367967959227306, 0.022029932704754174, 0.11932594467154038, -0.01612594540430499, 0.031795134574973155, 0.008771489094942807, -0.2168766540242359, 0.11979311918839812, 0.29065523796847886, 0.04528489897160658, 0.3073236816667694, -0.48150809332728384, -0.252851582704378, 0.05964618084420051, 0.10703575387098162, 0.10715200750356806, -0.02634870835214055, -0.3108171329966613, 0.0026584550671811613, -0.12428845659430537, -0.18978821602317372, -0.10141109537466296, -0.013930081147035318, 0.06452105787383126, -0.3014336289438818, 0.1255747885177178, 0.057007710130086965, 0.038118788307266574, -0.1885255259395178, -0.036379447461305454, 0.02177947621426678, 0.03261298356311662, -0.008490564699085164, -0.022386032306323096, 0.06004332292691938, -0.08806075227247286, -0.09454560352356306, 0.3450562303353633, -0.11830124738376721, -0.3019966548109161, 0.23937764218343155, -0.12183040864765644, -0.172272969203602, 0.08618142156628891, 0.23774546915665268, 0.17113031847402455, -0.20450934232877835, 0.12036804979351083, -0.04316109253704781, 0.13154583711709295, 0.011746951498623405, -0.015415731487363311, 0.0470017279365233, 0.17649811755732767, 0.07445592417248657, 0.1694807890237176, 0.04707915450978492, -0.15221981417105002, -0.3150414421090058, -0.1534506873224018, -0.08390187339058944, 0.11068861931624789, -0.09924599067910873, -0.21080505599134736, 0.4165303222835064, 0.1826085089107177, 0.12978828698396683, 0.06864598309621214, 0.21741848687774368, 0.20184969610168732, -0.047810601469661505, 0.06423569288162981, 0.1308334993464606, 0.26799553494368283, 0.1509033254247957, -0.24962987856207683, -0.018697119470951814, 0.1573454969030406] |
708.1429 | Data analysis methods for the cosmic microwave background | In this review, we give an overview of some of the major aspects of data
reduction and analysis for the cosmic microwave background (CMB). Since its
prediction and discovery in the last century, the CMB radiation has proven
itself to be one of our most valuable tools for precision cosmology. Recently,
and especially when combined with complementary cosmological data, measurements
of the CMB anisotropies have provided us with a wealth of quantitive
information about the birth, evolution and structure of our Universe. We begin
with a simple, general introduction to the physics of the CMB, including a
basic overview of the experiments which record CMB data. The focus, however,
will be the data analysis treatment of CMB data sets.
| astro-ph | in this review we give an overview of some of the major aspects of data reduction and analysis for the cosmic microwave background cmb since its prediction and discovery in the last century the cmb radiation has proven itself to be one of our most valuable tools for precision cosmology recently and especially when combined with complementary cosmological data measurements of the cmb anisotropies have provided us with a wealth of quantitive information about the birth evolution and structure of our universe we begin with a simple general introduction to the physics of the cmb including a basic overview of the experiments which record cmb data the focus however will be the data analysis treatment of cmb data sets | [['in', 'this', 'review', 'we', 'give', 'an', 'overview', 'of', 'some', 'of', 'the', 'major', 'aspects', 'of', 'data', 'reduction', 'and', 'analysis', 'for', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'since', 'its', 'prediction', 'and', 'discovery', 'in', 'the', 'last', 'century', 'the', 'cmb', 'radiation', 'has', 'proven', 'itself', 'to', 'be', 'one', 'of', 'our', 'most', 'valuable', 'tools', 'for', 'precision', 'cosmology', 'recently', 'and', 'especially', 'when', 'combined', 'with', 'complementary', 'cosmological', 'data', 'measurements', 'of', 'the', 'cmb', 'anisotropies', 'have', 'provided', 'us', 'with', 'a', 'wealth', 'of', 'quantitive', 'information', 'about', 'the', 'birth', 'evolution', 'and', 'structure', 'of', 'our', 'universe', 'we', 'begin', 'with', 'a', 'simple', 'general', 'introduction', 'to', 'the', 'physics', 'of', 'the', 'cmb', 'including', 'a', 'basic', 'overview', 'of', 'the', 'experiments', 'which', 'record', 'cmb', 'data', 'the', 'focus', 'however', 'will', 'be', 'the', 'data', 'analysis', 'treatment', 'of', 'cmb', 'data', 'sets']] | [-0.056185420027331394, 0.05937746875176398, -0.11892468827588781, 0.08057745797227003, -0.12709164802775474, -0.07189793341613117, -0.028369697006497562, 0.28816791257562757, -0.25163357112920615, -0.31730572483697983, 0.1662012233277548, -0.3366476691664517, -0.06691457742840803, 0.26476954793197516, 0.0026499669208433947, 0.0026165007915887827, 0.09503331458775185, 0.019651902812149596, -0.036938870656343194, -0.312043566426004, 0.3133571877754724, 0.20431574415259002, 0.29065494932930824, 0.04833059342374571, 0.09053345777959164, -0.008036626444174712, -0.15727437226133062, 0.007684283827220192, -0.16943769314435914, 0.15456177583629532, 0.25548022125745895, 0.23511363910276348, 0.21873436516205616, -0.43645696698867975, -0.24038879736130978, 0.1177256573852496, 0.09234131438688946, 0.172708666640551, -0.08842603596389106, -0.2750706113640125, 0.003394107411599898, -0.13065239679099633, -0.08945863126574609, -0.09247043078663532, -0.007921683519859524, -0.020228949540779934, -0.22917718293796832, 0.05335718759398187, 0.04397506918758154, 0.0864926683129508, -0.039953144899414886, -0.11526169190809381, 0.036080083093692025, 0.10973338788583632, 0.08287717341719304, 0.04814013858431434, 0.08467042081335857, -0.1415257250181861, -0.10660258794062528, 0.39413491369639875, -0.08824951150219794, -0.07414945250204882, 0.1364626375285267, -0.21094987536350093, -0.21578026088634544, 0.05838924756140581, 0.17143909037876248, 0.024123315769834678, -0.18868829004240062, 0.09336905910617851, 0.035424106856103706, 0.14859258753693655, 0.03398339090939267, 0.06701178350065201, 0.3068333918839192, 0.20277508480294348, 0.04782739653009452, 0.06978653768711418, -0.09837987064775236, -0.014952488720980511, -0.2998403944094673, -0.10353666380392153, -0.1527406632931543, 0.07322504768390678, -0.11673985974385771, -0.1555903253122037, 0.42370294599535585, 0.18989961920306087, 0.2183576857812014, -0.0029398182753332647, 0.34824668966672, 0.011644841000602087, 0.022389750003701216, 0.016238496544919594, 0.2757543268578788, 0.14633703871215342, 0.13862332941948616, -0.17280233368872344, 0.04662668595419211, -0.060987638239161805] |
708.143 | Determinants related to Dirichlet characters modulo 2, 4 and 8 of
binomial coefficients and the algebra of recurrence matrices | Using recurrence matrices, defined and described with some details, we study
a few determinants related to evaluations of binomial coefficients on Dirichlet
characters modulo 2, 4 and 8.
| math.NT math.RA | using recurrence matrices defined and described with some details we study a few determinants related to evaluations of binomial coefficients on dirichlet characters modulo 2 4 and 8 | [['using', 'recurrence', 'matrices', 'defined', 'and', 'described', 'with', 'some', 'details', 'we', 'study', 'a', 'few', 'determinants', 'related', 'to', 'evaluations', 'of', 'binomial', 'coefficients', 'on', 'dirichlet', 'characters', 'modulo', '2', '4', 'and', '8']] | [-0.15499000450862305, 0.04986845875880265, 0.01854824441085969, 0.08635893583829914, -0.045330668500225456, -0.14520972340791818, 0.015782875141927173, 0.32204175367951393, -0.2784500282058226, -0.28774999875375734, 0.18088133784476668, -0.329989113645362, -0.19817871958782365, 0.2118587010689745, -0.045358531709228246, 0.08928973673443709, 0.05607161172000425, 0.08297322525842381, -0.15339090063103608, -0.3372753058959331, 0.3558222749966262, -9.604766299682004e-05, 0.11076318394043483, 0.04297092364036611, 0.09780683592959706, 0.023271784402563105, -0.13244162197224796, -0.06569437515333577, -0.1576057432851355, 0.13522277320069925, 0.24352791834722406, 0.060171246146118004, 0.20706208485976926, -0.4205867395337139, -0.03758655026155923, 0.1068000472150743, 0.12681535757812007, -0.052365030095513375, 0.041894475576035414, -0.22912139049731195, 0.11995830320354019, -0.18999782517702052, -0.11860417980434639, -0.10806910863279232, 0.002449662158531802, 0.08130122944342995, -0.29823101616264985, 0.0841196794395468, 0.05865493902404394, 0.1809548022158976, -0.06418356668603208, -0.27171359809913803, 0.09500829017321978, 0.05936959588767162, 0.04133084782266191, -0.06793352687964216, 0.08320763070202832, -0.09463786100968719, -0.14360373806474463, 0.31944392731280197, -0.027234995438318168, -0.30170964266705724, 0.1540168078084077, -0.17857392830774188, -0.19693352158979646, 0.080168426502496, 0.11170402302273683, 0.09206783041424517, -0.09228776388668589, 0.05433028047913727, -0.06383791639070426, 0.18775331202362264, 0.22460009194245295, -0.052845489333516786, 0.09241835673206619, 0.047762579550700526, -0.09270502387412957, 0.14466545607761613, 0.010865850415679492, -0.06862194782921247, -0.31311957790915457, -0.1362764960088368, -0.21263464260846376, 0.13251341057808272, -0.15252942501995545, -0.17991796719849976, 0.4651829028236015, 0.07849739352241158, 0.25330447492056657, 0.13185532421006688, 0.1090637206964727, 0.1466267205708261, 0.05425692482718399, 0.06532087709222521, -0.04532425981493101, 0.21066332894510456, 0.0452959248962413, -0.09229636445109334, -0.004440974926442972, 0.14984864069681084] |
708.1431 | Gradient estimates for a degenerate parabolic equation with gradient
absorption and applications | Qualitative properties of non-negative solutions to a quasilinear degenerate
parabolic equation with an absorption term depending solely on the gradient are
shown, providing information on the competition between the nonlinear diffusion
and the nonlinear absorption. In particular, the limit as time goes to infinity
of the mass of integrable solutions is identified, together with the rate of
expansion of the support for compactly supported initial data. The persistence
of dead cores is also shown. The proof of these results strongly relies on
gradient estimates which are first established.
| math.AP | qualitative properties of nonnegative solutions to a quasilinear degenerate parabolic equation with an absorption term depending solely on the gradient are shown providing information on the competition between the nonlinear diffusion and the nonlinear absorption in particular the limit as time goes to infinity of the mass of integrable solutions is identified together with the rate of expansion of the support for compactly supported initial data the persistence of dead cores is also shown the proof of these results strongly relies on gradient estimates which are first established | [['qualitative', 'properties', 'of', 'nonnegative', 'solutions', 'to', 'a', 'quasilinear', 'degenerate', 'parabolic', 'equation', 'with', 'an', 'absorption', 'term', 'depending', 'solely', 'on', 'the', 'gradient', 'are', 'shown', 'providing', 'information', 'on', 'the', 'competition', 'between', 'the', 'nonlinear', 'diffusion', 'and', 'the', 'nonlinear', 'absorption', 'in', 'particular', 'the', 'limit', 'as', 'time', 'goes', 'to', 'infinity', 'of', 'the', 'mass', 'of', 'integrable', 'solutions', 'is', 'identified', 'together', 'with', 'the', 'rate', 'of', 'expansion', 'of', 'the', 'support', 'for', 'compactly', 'supported', 'initial', 'data', 'the', 'persistence', 'of', 'dead', 'cores', 'is', 'also', 'shown', 'the', 'proof', 'of', 'these', 'results', 'strongly', 'relies', 'on', 'gradient', 'estimates', 'which', 'are', 'first', 'established']] | [-0.12774664278152736, 0.07580197329612433, -0.07403770463001406, 0.04298393333605914, -0.08869280202568254, -0.09435053677192297, -0.016006267312067477, 0.3112330205357549, -0.2935590935257179, -0.24175591074692254, 0.1656212529567049, -0.31062577317722817, -0.10080179919763892, 0.20742291578261013, -0.011637373091864654, 0.07355817331170494, 0.06020686410325156, 0.05823421247557483, -0.04971906161782416, -0.24761072776957668, 0.383741600216705, 0.025334923475218766, 0.2588425261201337, 0.08908765073018995, 0.11590758246959675, -0.04723952104210515, -0.05881488962437619, 0.000933250751007687, -0.1524908502840183, 0.11379747635377994, 0.19507727448151194, 0.05365543462738225, 0.2801238335351544, -0.41026970968497073, -0.20773314223201436, 0.04317575918552889, 0.15738455169114537, 0.09535853607468942, -0.053452233848722906, -0.2902730634774674, 0.0648067946365865, -0.08677151060493832, -0.16718105664900082, -0.047485169732350514, 0.009540148365141993, 0.13288759370334446, -0.28852273158422165, 0.12097167798062648, 0.09219268748579039, 0.005341847152025862, -0.1347217672419819, -0.09072777468033812, -0.08417807530548255, 0.08429742662834046, 0.08825649492527274, -0.006744698860777796, 0.07501703515035016, -0.12914180708519946, -0.07715322799049318, 0.3387092658826573, -0.12849308142639612, -0.21779621938582172, 0.22139180430465125, -0.13546839879233052, -0.0861153378341855, 0.13594149223221888, 0.15783398299985987, 0.13756478641880676, -0.11538687853184952, 0.09223820851912023, -0.024584747046570887, 0.18208723402031782, 0.049379601746543565, 0.029809283875775607, 0.14579766930546612, 0.16795664485173553, 0.10542366985993629, 0.09344595630748452, -0.043529544060055, -0.1410468517463993, -0.32555056029973045, -0.14024555797434665, -0.19359757642219352, 0.06601436134025623, -0.10481099690167123, -0.21480327402439964, 0.3689206953118132, 0.09174782688337886, 0.21688867505872622, 0.09068292825064748, 0.2339557949929837, 0.20484339401247614, 0.03718429638221013, 0.058976837772206636, 0.26576864438935777, 0.16477905813900923, 0.11127105495754884, -0.24991034374530005, 0.08858433193844659, 0.09069846854651008] |
708.1432 | Low temperature heat capacity of Fe_{1-x}Ga_{x} alloys with large
magneostriction | The low temperature heat capacity C_{p} of Fe_{1-x}Ga_{x} alloys with large
magnetostriction has been investigated. The data were analyzed in the standard
way using electron ($\gamma T$) and phonon ($\beta T^{3}$) contributions. The
Debye temperature $\Theta_{D}$ decreases approximately linearly with increasing
Ga concentration, consistent with previous resonant ultrasound measurements and
measured phonon dispersion curves. Calculations of $\Theta_{D}$ from lattice
dynamical models and from measured elastic constants C_{11}, C_{12} and C_{44}
are in agreement with the measured data. The linear coefficient of electronic
specific heat $\gamma$ remains relatively constant as the Ga concentration
increases, despite the fact that the magnetoelastic coupling increases. Band
structure calculations show that this is due to the compensation of majority
and minority spin states at the Fermi level.
| cond-mat.mtrl-sci | the low temperature heat capacity c_p of fe_1xga_x alloys with large magnetostriction has been investigated the data were analyzed in the standard way using electron gamma t and phonon beta t3 contributions the debye temperature theta_d decreases approximately linearly with increasing ga concentration consistent with previous resonant ultrasound measurements and measured phonon dispersion curves calculations of theta_d from lattice dynamical models and from measured elastic constants c_11 c_12 and c_44 are in agreement with the measured data the linear coefficient of electronic specific heat gamma remains relatively constant as the ga concentration increases despite the fact that the magnetoelastic coupling increases band structure calculations show that this is due to the compensation of majority and minority spin states at the fermi level | [['the', 'low', 'temperature', 'heat', 'capacity', 'c_p', 'of', 'fe_1xga_x', 'alloys', 'with', 'large', 'magnetostriction', 'has', 'been', 'investigated', 'the', 'data', 'were', 'analyzed', 'in', 'the', 'standard', 'way', 'using', 'electron', 'gamma', 't', 'and', 'phonon', 'beta', 't3', 'contributions', 'the', 'debye', 'temperature', 'theta_d', 'decreases', 'approximately', 'linearly', 'with', 'increasing', 'ga', 'concentration', 'consistent', 'with', 'previous', 'resonant', 'ultrasound', 'measurements', 'and', 'measured', 'phonon', 'dispersion', 'curves', 'calculations', 'of', 'theta_d', 'from', 'lattice', 'dynamical', 'models', 'and', 'from', 'measured', 'elastic', 'constants', 'c_11', 'c_12', 'and', 'c_44', 'are', 'in', 'agreement', 'with', 'the', 'measured', 'data', 'the', 'linear', 'coefficient', 'of', 'electronic', 'specific', 'heat', 'gamma', 'remains', 'relatively', 'constant', 'as', 'the', 'ga', 'concentration', 'increases', 'despite', 'the', 'fact', 'that', 'the', 'magnetoelastic', 'coupling', 'increases', 'band', 'structure', 'calculations', 'show', 'that', 'this', 'is', 'due', 'to', 'the', 'compensation', 'of', 'majority', 'and', 'minority', 'spin', 'states', 'at', 'the', 'fermi', 'level']] | [-0.13243488275272328, 0.2605561368915512, 0.0013205542851269978, -0.00852958269447821, -0.04120432382991507, -0.1478063260771899, 0.10458770458067417, 0.38807887373278377, -0.29073264257463277, -0.28526646901135805, 0.019276600063885332, -0.4034455424693764, -0.060722607884510255, 0.21407201068216294, 0.05179880854490473, 0.04730997206337872, -0.004998749209812186, 0.0201087821633784, -0.10038880858432929, -0.18136838687102874, 0.22628795395063267, 0.10431353293252407, 0.32689552812180556, 0.10756020463209172, 0.05057760319848102, 0.00936931248784798, 0.04444529874952602, 0.048597373033026386, -0.18463573966341829, 0.036195016173850056, 0.26643354284947907, -0.10165308931361518, 0.14959487907367103, -0.3541319808334906, -0.23922972780171414, 0.02531156176701188, 0.08295888993049376, 0.08818930855066684, -0.048186481731836914, -0.16449169002732902, 0.04752694468059745, -0.11736179822597836, -0.1232122859810708, -0.08593035106390684, 0.026874325406111656, 0.01719532335238134, -0.21667359844775733, 0.18510697316378355, -0.002117429356344548, 0.10817156532351367, -0.13102369412367584, -0.225265015993023, -0.09179846892232595, 0.0318315002922213, 0.12483690743006338, 0.07453166070364638, 0.18202807814966826, -0.07643492363362772, -0.04219637380447239, 0.3674065334403689, -0.12505033480472955, -0.06569653858247472, 0.15214532194277425, -0.23124889472926982, -0.06963775291338517, 0.19113641278054871, 0.09387331886420248, 0.06082597533722797, -0.11936352325681612, 0.12688605602593048, 0.023822214732091628, 0.2099255014852178, 0.07474896814063435, 0.02659558245789815, 0.13309218376477966, 0.14495057005771114, -0.029542101216960517, 0.08923363311742967, -0.12686042636480244, -0.00895080936034439, -0.2251868945332702, -0.10664102248036395, -0.20229721661718164, 0.06818058018355065, -0.1427746467576429, -0.14193289331446754, 0.315866373746549, 0.06019126129735998, 0.21669525226013217, 0.04121457809414409, 0.2229280905458374, 0.13912628911489042, 0.0996123904030251, 0.08080631945297488, 0.2737134507452672, 0.21325973419617616, 0.11650941099162351, -0.3452723111468749, 0.09455190327965089, -0.04226071648223356] |
708.1433 | On exact solutions of a class of fractional Euler-Lagrange equations | In this paper, first a class of fractional differential equations are
obtained by using the fractional variational principles. We find a fractional
Lagrangian $L(x(t)$, where $_a^cD_t^\alpha x(t))$ and $0<\alpha< 1$, such that
the following is the corresponding Euler-Lagrange %
\begin{equation}_tD_b^\alpha(_a^cD_t^\alpha) x(t)+ b(t,x(t))(_a^cD_t^\alpha
x(t))+f(t,x(t))=0. \end{equation} % At last, exact solutions for some
Euler-Lagrange equations are presented. In particular, we consider the
following equations % \begin{equation}_tD_b^\alpha(_a^cD_t^\alpha x(t))=\lambda
x(t), (\lambda\in R) \end{equation} %
\begin{equation}_tD_b^\alpha(_a^cD_t^\alpha x(t))+g(t)_a^cD_t^\alpha x(t)=f(t),
\end{equation} where g(t) and f(t) are suitable functions.
| math-ph math.MP | in this paper first a class of fractional differential equations are obtained by using the fractional variational principles we find a fractional lagrangian lxt where _acd_talpha xt and 0alpha 1 such that the following is the corresponding eulerlagrange beginequation_td_balpha_acd_talpha xt btxt_acd_talpha xtftxt0 endequation at last exact solutions for some eulerlagrange equations are presented in particular we consider the following equations beginequation_td_balpha_acd_talpha xtlambda xt lambdain r endequation beginequation_td_balpha_acd_talpha xtgt_acd_talpha xtft endequation where gt and ft are suitable functions | [['in', 'this', 'paper', 'first', 'a', 'class', 'of', 'fractional', 'differential', 'equations', 'are', 'obtained', 'by', 'using', 'the', 'fractional', 'variational', 'principles', 'we', 'find', 'a', 'fractional', 'lagrangian', 'lxt', 'where', '_acd_talpha', 'xt', 'and', '0alpha', '1', 'such', 'that', 'the', 'following', 'is', 'the', 'corresponding', 'eulerlagrange', 'beginequation_td_balpha_acd_talpha', 'xt', 'btxt_acd_talpha', 'xtftxt0', 'endequation', 'at', 'last', 'exact', 'solutions', 'for', 'some', 'eulerlagrange', 'equations', 'are', 'presented', 'in', 'particular', 'we', 'consider', 'the', 'following', 'equations', 'beginequation_td_balpha_acd_talpha', 'xtlambda', 'xt', 'lambdain', 'r', 'endequation', 'beginequation_td_balpha_acd_talpha', 'xtgt_acd_talpha', 'xtft', 'endequation', 'where', 'gt', 'and', 'ft', 'are', 'suitable', 'functions']] | [-0.1885983829981544, 0.04516651736695268, -0.008604931401754988, 0.0487550064895509, -0.051589237170345664, -0.18547086024449932, -0.08607142249012315, 0.28683030548402005, -0.3269504819117073, -0.17574615761016807, 0.1309299755699208, -0.3419439803239786, -0.15714195634548864, 0.1652911455473966, -0.07077241150222512, 0.10736662965630078, -0.024201155375016645, 0.0702154807254879, -0.1012053567780337, -0.17254627652841414, 0.3562580582996209, -0.18273242671663562, 0.0818309048966815, -0.03172491522531749, 0.1872013821783993, -0.06447516449649508, 0.04407106317941927, -0.012310127436649054, -0.32221893266139684, -0.008455383474938571, 0.2665704032244523, 0.04439097213455372, 0.3107364679065843, -0.393187554488476, -0.15007039850590648, 0.10563870509698366, 0.13485803639438623, -0.022698619386776246, -0.01655402016412053, -0.3398300597974513, 0.12628664890750466, -0.09623322708325253, -0.11820305641352509, -0.04980242154043582, 0.10106556054799715, 0.12292351383560647, -0.3450983955731822, 0.14977395249944594, 0.05049166638248911, 0.003338043008827501, -0.11347699716376762, -0.1736217143609085, -0.04250284094369919, 0.014104945992585272, 0.016562390275390096, 0.08088098175681403, 0.016430557601981692, -0.08094014503876679, -0.024495123180612508, 0.362475750165888, -0.08401196744913857, -0.2904173748878141, 0.009024958604843251, -0.16475170273204437, -0.25431688159005716, 0.05710293396583034, 0.10250457138237026, 0.2246223507811212, -0.20944646758855218, 0.2205102464827683, -0.049746329268802784, 0.10314379539340734, 0.07676190771033159, -0.006807046625504477, 0.012873707015791701, 0.09960859445790346, 0.07045388049381371, 0.06655967710280998, -0.013855825029572265, -0.13541686199864167, -0.4342818044953876, -0.18767563075622698, -0.12178293200364958, 0.14075510180555284, -0.08288313455502955, -0.06757314173612233, 0.3013958295858983, 0.11027350107906386, 0.123476647797765, 0.12102665604713063, 0.16032160416943952, 0.2621595546887774, -0.0926836003911578, 0.09662093042991021, 0.11692796753171326, 0.12177436046315254, 0.15321368373568273, -0.18649303849411403, -0.018218908607701048, 0.16916302149184048] |
708.1434 | Coefficient of Restitution for Viscoelastic Spheres: The Effect of
Delayed Recovery | The coefficient of normal restitution of colliding viscoelastic spheres is
computed as a function of the material properties and the impact velocity. From
simple arguments it becomes clear that in a collision of purely repulsively
interacting particles, the particles loose contact slightly before the distance
of the centers of the spheres reaches the sum of the radii, that is, the
particles recover their shape only after they lose contact with their collision
partner. This effect was neglected in earlier calculations which leads
erroneously to attractive forces and, thus, to an underestimation of the
coefficient of restitution. As a result we find a novel dependence of the
coefficient of restitution on the impact rate.
| cond-mat.mtrl-sci cond-mat.stat-mech | the coefficient of normal restitution of colliding viscoelastic spheres is computed as a function of the material properties and the impact velocity from simple arguments it becomes clear that in a collision of purely repulsively interacting particles the particles loose contact slightly before the distance of the centers of the spheres reaches the sum of the radii that is the particles recover their shape only after they lose contact with their collision partner this effect was neglected in earlier calculations which leads erroneously to attractive forces and thus to an underestimation of the coefficient of restitution as a result we find a novel dependence of the coefficient of restitution on the impact rate | [['the', 'coefficient', 'of', 'normal', 'restitution', 'of', 'colliding', 'viscoelastic', 'spheres', 'is', 'computed', 'as', 'a', 'function', 'of', 'the', 'material', 'properties', 'and', 'the', 'impact', 'velocity', 'from', 'simple', 'arguments', 'it', 'becomes', 'clear', 'that', 'in', 'a', 'collision', 'of', 'purely', 'repulsively', 'interacting', 'particles', 'the', 'particles', 'loose', 'contact', 'slightly', 'before', 'the', 'distance', 'of', 'the', 'centers', 'of', 'the', 'spheres', 'reaches', 'the', 'sum', 'of', 'the', 'radii', 'that', 'is', 'the', 'particles', 'recover', 'their', 'shape', 'only', 'after', 'they', 'lose', 'contact', 'with', 'their', 'collision', 'partner', 'this', 'effect', 'was', 'neglected', 'in', 'earlier', 'calculations', 'which', 'leads', 'erroneously', 'to', 'attractive', 'forces', 'and', 'thus', 'to', 'an', 'underestimation', 'of', 'the', 'coefficient', 'of', 'restitution', 'as', 'a', 'result', 'we', 'find', 'a', 'novel', 'dependence', 'of', 'the', 'coefficient', 'of', 'restitution', 'on', 'the', 'impact', 'rate']] | [-0.13466893863221382, 0.16880009885152608, -0.14352848199484622, 0.01956618537784315, -0.04351203647170183, -0.09949536278918056, 0.047656392543659075, 0.34668101802204565, -0.25618709401465517, -0.28317524779555014, 0.01811875796266955, -0.30892389863770686, -0.11386297877663665, 0.14886746777889145, -0.0006597164886451401, -0.00490558103336829, 0.062069737162869586, 0.0718751979695089, -0.07795764229866156, -0.24395384158180877, 0.3189319256050265, 0.09913817285848535, 0.20949581544846296, 0.11830043044781922, 0.09849479005556652, 0.048316297261456476, 0.0031658931660045564, 0.053038280731812944, -0.16580828118194163, 0.06356565307710418, 0.13385086792595355, 0.0019066766485472959, 0.22949847053176006, -0.3970264095835701, -0.2045487468749021, 0.09504592983233454, 0.14516165846777437, 0.08539960752715217, -0.02456552547761198, -0.22358015848661617, 0.019903520670249662, -0.2102706345422523, -0.20136924955759, -0.0010508769068174658, 0.08708225746960503, 0.0602171208247938, -0.22866302304303654, 0.17067403927835867, 0.07744387322954371, 0.039118279503548695, -0.0822605344222702, -0.12344419111423524, -0.03211286932691536, 0.12355710126344213, 0.09659063523074826, -0.021990979028519538, 0.2205247350036583, -0.18050275035655802, -0.010198039233486736, 0.42926260293255336, -0.04009026124974532, -0.20305335106311645, 0.23749684426208248, -0.13397481136716308, -0.029764427840544852, 0.18319451491723446, 0.1872361547898798, 0.12895931801717497, -0.13062698077575297, 0.004478922186922117, -0.038389934095001854, 0.14876258745583484, 0.09354110005253975, -0.01410428936535542, 0.21179290529828831, 0.14443033938790648, 0.03280334630816252, 0.13140495562002855, -0.08885546239809983, -0.07374929409449409, -0.2762925723254417, -0.1680024956822791, -0.21296643462460652, 0.03874920354537929, -0.1276231525809426, -0.18008210784158118, 0.30659989247807357, 0.08328816710880636, 0.2859116908022722, 0.05055344723210365, 0.2808717661289976, 0.11476066400939845, 0.07863001562902226, 0.032006582737677786, 0.3387360194619679, 0.13592687133180423, 0.09125997476790727, -0.23059859918224404, 0.11592529713283334, 0.057201452088641185] |
708.1435 | Model Studies on the Quantum Jarzynski Relation | We study the quantum Jarzynski relation for driven quantum models embedded in
various environments. We do so by generalizing a proof presented by Mukamel
[Phys. Rev. Lett 90, 170604 (2003)] for closed quantum systems. In this way, we
are able to prove that the Jarzynski relation also holds for a bipartite system
with microcanonical coupling. Furthermore, we show that, under the assumption
that the interaction energy remains constant during the whole process, the
relation is valid even for canonical coupling. The same follows for open
quantum systems at high initial temperatures up to third order of the inverse
temperature. Our analytical study is complemented by a numerical investigation
of a special model system.
| cond-mat.stat-mech | we study the quantum jarzynski relation for driven quantum models embedded in various environments we do so by generalizing a proof presented by mukamel phys rev lett 90 170604 2003 for closed quantum systems in this way we are able to prove that the jarzynski relation also holds for a bipartite system with microcanonical coupling furthermore we show that under the assumption that the interaction energy remains constant during the whole process the relation is valid even for canonical coupling the same follows for open quantum systems at high initial temperatures up to third order of the inverse temperature our analytical study is complemented by a numerical investigation of a special model system | [['we', 'study', 'the', 'quantum', 'jarzynski', 'relation', 'for', 'driven', 'quantum', 'models', 'embedded', 'in', 'various', 'environments', 'we', 'do', 'so', 'by', 'generalizing', 'a', 'proof', 'presented', 'by', 'mukamel', 'phys', 'rev', 'lett', '90', '170604', '2003', 'for', 'closed', 'quantum', 'systems', 'in', 'this', 'way', 'we', 'are', 'able', 'to', 'prove', 'that', 'the', 'jarzynski', 'relation', 'also', 'holds', 'for', 'a', 'bipartite', 'system', 'with', 'microcanonical', 'coupling', 'furthermore', 'we', 'show', 'that', 'under', 'the', 'assumption', 'that', 'the', 'interaction', 'energy', 'remains', 'constant', 'during', 'the', 'whole', 'process', 'the', 'relation', 'is', 'valid', 'even', 'for', 'canonical', 'coupling', 'the', 'same', 'follows', 'for', 'open', 'quantum', 'systems', 'at', 'high', 'initial', 'temperatures', 'up', 'to', 'third', 'order', 'of', 'the', 'inverse', 'temperature', 'our', 'analytical', 'study', 'is', 'complemented', 'by', 'a', 'numerical', 'investigation', 'of', 'a', 'special', 'model', 'system']] | [-0.13801528040702188, 0.13834756586168492, -0.06372841470251192, 0.041941029301938215, -0.0024213852427367654, -0.1490568016057036, 0.08045521121571905, 0.34183985200278194, -0.21623907200929743, -0.28022807992861737, 0.0355607054641171, -0.2479173481718005, -0.15034536932112783, 0.2519398961313917, -0.052828959413870634, 0.06186101095850712, 0.061865628523394535, 0.0023942958520949886, -0.0642714679582111, -0.24762243060727737, 0.2912274772450993, 0.06381938527088746, 0.27850451746988775, 0.08681172833218755, 0.10199490255243811, 0.03191199950275144, 0.05786749426208969, 0.02931398922061947, -0.18765553398712395, 0.045201098299522915, 0.22239662688340495, 0.07447426371384479, 0.23620956933466783, -0.39223373325408567, -0.21726965939991974, 0.08818205376155674, 0.09115809125484832, 0.14630415063999994, -0.033170757372447825, -0.2763751647934051, 0.09126885873917802, -0.19148100773704105, -0.15365281717302942, -0.11157691740871607, 0.06324907032207452, -0.01774633871640877, -0.2634043108597065, 0.13677519849833125, 0.12751517992001027, 0.054873338293483745, -0.05002181074191218, -0.03287399214916929, 0.02301816219967025, 0.07361926388693973, -0.041621067974119796, 0.028696227082816352, 0.09574221772657308, -0.08843171125460815, -0.08753108030733918, 0.3517843085241371, -0.051198641171920044, -0.16777431493392214, 0.2102183700948704, -0.11882226638928321, -0.17502258806572563, 0.0337041185859042, 0.11554566372485299, 0.10635971040132322, -0.19563858743224824, 0.1567912723819193, -0.0617457840458623, 0.16117501021342054, 0.05106134239966715, -0.011669454325393807, 0.18068585721942196, 0.1160038353077003, 0.01884100051496976, 0.1702077142919214, -0.0052330730177345686, -0.1689156543080961, -0.337217096646782, -0.19857782877599156, -0.19654649583389983, 0.1095807012342058, -0.03390459705925813, -0.1007370861729474, 0.3471227539370635, 0.19477779645239934, 0.18674506789622164, 0.08256584430845189, 0.24835245374457113, 0.1516729999992614, -0.003390664008163315, 0.13102180689540027, 0.26237475392450244, 0.1748659982508148, 0.08468091596816, -0.22261678200447932, 0.01659984545507801, 0.04397972910581822] |
708.1436 | Transport properties of double-walled carbon nanotube quantum dots | The transport properties of quantum dot (QD) systems based on double-walled
carbon nanotube (DWCNT) are investigated. The interplay between microscopic
structure and strong Coulomb interaction is treated within a bosonization
framework. The linear and nonlinear G-V-V_g characteristics of the QD system is
calculated by starting from the Liouville equation for the reduced density
matrix. Depending on the intershell couplings, an 8-electron periodicity of the
Coulomb blockade peak spacing in the case of commensurate DWCNT QDs and a
4-electron periodicity in the incommensurate case are predicted. The
contribution of excited states of DWCNTs to the nonlinear transport is
investigated as well.
| cond-mat.mes-hall | the transport properties of quantum dot qd systems based on doublewalled carbon nanotube dwcnt are investigated the interplay between microscopic structure and strong coulomb interaction is treated within a bosonization framework the linear and nonlinear gvv_g characteristics of the qd system is calculated by starting from the liouville equation for the reduced density matrix depending on the intershell couplings an 8electron periodicity of the coulomb blockade peak spacing in the case of commensurate dwcnt qds and a 4electron periodicity in the incommensurate case are predicted the contribution of excited states of dwcnts to the nonlinear transport is investigated as well | [['the', 'transport', 'properties', 'of', 'quantum', 'dot', 'qd', 'systems', 'based', 'on', 'doublewalled', 'carbon', 'nanotube', 'dwcnt', 'are', 'investigated', 'the', 'interplay', 'between', 'microscopic', 'structure', 'and', 'strong', 'coulomb', 'interaction', 'is', 'treated', 'within', 'a', 'bosonization', 'framework', 'the', 'linear', 'and', 'nonlinear', 'gvv_g', 'characteristics', 'of', 'the', 'qd', 'system', 'is', 'calculated', 'by', 'starting', 'from', 'the', 'liouville', 'equation', 'for', 'the', 'reduced', 'density', 'matrix', 'depending', 'on', 'the', 'intershell', 'couplings', 'an', '8electron', 'periodicity', 'of', 'the', 'coulomb', 'blockade', 'peak', 'spacing', 'in', 'the', 'case', 'of', 'commensurate', 'dwcnt', 'qds', 'and', 'a', '4electron', 'periodicity', 'in', 'the', 'incommensurate', 'case', 'are', 'predicted', 'the', 'contribution', 'of', 'excited', 'states', 'of', 'dwcnts', 'to', 'the', 'nonlinear', 'transport', 'is', 'investigated', 'as', 'well']] | [-0.17161040039112171, 0.1640994262587893, -0.023383407571324795, 0.0618115015212691, 0.047031864147595685, -0.1630434954651829, 0.029165017980649466, 0.37051849176335816, -0.2681728626173366, -0.25104243191655234, -0.007744238375582629, -0.3140356432872288, -0.13771571617601722, 0.16358395955628818, 0.060522689255932814, 0.025249697780706966, 0.02959270816239895, -0.015500670146065378, -0.08109732496218798, -0.1582081462303647, 0.2954046228486631, 0.024526435029316656, 0.3038716719984406, 0.11705276654148945, 0.05280115933514981, 0.03893072242999092, 0.11030794701755348, 0.002037564330179282, -0.13190149706835397, 0.08189205216617804, 0.17568252458662792, -0.10713289120243956, 0.19107564520137854, -0.46566770092179677, -0.19926851338147175, -0.042402156647482904, 0.14598147981715473, 0.12802183628317457, -0.009647189881746667, -0.3047000412603445, 0.03459563645336664, -0.14415976788961526, -0.11403369274216169, -0.006327127776757786, 0.019983872315009133, 0.04701555166111299, -0.22570999445348996, 0.12354280456260901, 0.033710873931542866, 0.04979329809047884, -0.08335655966228006, -0.12229987699891243, -0.09320330691542665, 0.09599063093856335, 0.003140085764850179, -0.033047793066185535, 0.19670517474996171, -0.11184923373388522, -0.08706537988554272, 0.38359959201529775, -0.07646036528596523, -0.1430932292620642, 0.14029194369578188, -0.14321241677842206, -0.04616355139884458, 0.1333894733824024, 0.09998251327003042, 0.10538003210571002, -0.15103371102642738, 0.1100033495435256, -0.004830896963760482, 0.1758781533495457, 0.05266015279821751, 0.09402956573217354, 0.20447985637895386, 0.2149297564356315, 0.02310145791206095, 0.12521269327650467, -0.09626026367862718, -0.1512303249545941, -0.25220580037796136, -0.1335237680351117, -0.22146240678248982, 0.10871922807071847, -0.046165428109816276, -0.19231891725212336, 0.40622270143311, 0.05781192314632312, 0.15386852594280634, -0.05542631424032152, 0.2091384509756498, 0.18040953553105338, 0.05247477502703215, -0.0326432460081773, 0.28456010364673356, 0.2742808381156676, 0.06457919131663412, -0.34677492563067136, 0.027971448310923696, 0.04515056009139781] |
708.1437 | Twisted cohomology of the Hilbert schemes of points on surfaces | We calculate the cohomology spaces of the Hilbert schemes of points on
surfaces with values in locally constant systems. For that purpose, we
generalise I. Grojnoswki's and H. Nakajima's description of the ordinary
cohomology in terms of a Fock space representation to the twisted case. We
further generalise M. Lehn's work on the action of the Virasoro algebra to the
twisted case.
Building on work by M. Lehn and Ch. Sorger, we then give an explicit
description of the cup-product in the twisted case whenever the surface has a
numerically trivial canonical divisor.
We formulate our results in a way that they apply to the projective and
non-projective case in equal measure.
As an application of our methods, we give explicit models for the cohomology
rings of the generalised Kummer varieties and of a series of certain even
dimensional Calabi--Yau manifolds.
| math.AG math.AT | we calculate the cohomology spaces of the hilbert schemes of points on surfaces with values in locally constant systems for that purpose we generalise i grojnoswkis and h nakajimas description of the ordinary cohomology in terms of a fock space representation to the twisted case we further generalise m lehns work on the action of the virasoro algebra to the twisted case building on work by m lehn and ch sorger we then give an explicit description of the cupproduct in the twisted case whenever the surface has a numerically trivial canonical divisor we formulate our results in a way that they apply to the projective and nonprojective case in equal measure as an application of our methods we give explicit models for the cohomology rings of the generalised kummer varieties and of a series of certain even dimensional calabiyau manifolds | [['we', 'calculate', 'the', 'cohomology', 'spaces', 'of', 'the', 'hilbert', 'schemes', 'of', 'points', 'on', 'surfaces', 'with', 'values', 'in', 'locally', 'constant', 'systems', 'for', 'that', 'purpose', 'we', 'generalise', 'i', 'grojnoswkis', 'and', 'h', 'nakajimas', 'description', 'of', 'the', 'ordinary', 'cohomology', 'in', 'terms', 'of', 'a', 'fock', 'space', 'representation', 'to', 'the', 'twisted', 'case', 'we', 'further', 'generalise', 'm', 'lehns', 'work', 'on', 'the', 'action', 'of', 'the', 'virasoro', 'algebra', 'to', 'the', 'twisted', 'case', 'building', 'on', 'work', 'by', 'm', 'lehn', 'and', 'ch', 'sorger', 'we', 'then', 'give', 'an', 'explicit', 'description', 'of', 'the', 'cupproduct', 'in', 'the', 'twisted', 'case', 'whenever', 'the', 'surface', 'has', 'a', 'numerically', 'trivial', 'canonical', 'divisor', 'we', 'formulate', 'our', 'results', 'in', 'a', 'way', 'that', 'they', 'apply', 'to', 'the', 'projective', 'and', 'nonprojective', 'case', 'in', 'equal', 'measure', 'as', 'an', 'application', 'of', 'our', 'methods', 'we', 'give', 'explicit', 'models', 'for', 'the', 'cohomology', 'rings', 'of', 'the', 'generalised', 'kummer', 'varieties', 'and', 'of', 'a', 'series', 'of', 'certain', 'even', 'dimensional', 'calabiyau', 'manifolds']] | [-0.16650912877438323, 0.0431249536625858, -0.09026711698887603, 0.06404806566424667, -0.05537745910031455, -0.10641728946939111, -0.0035582149334784066, 0.33408731472279346, -0.25764948285317846, -0.2079163895221427, 0.08820770577710521, -0.2148551531402128, -0.17423644363214927, 0.21416271692474506, -0.1466585683503321, -0.010906239825895421, 0.04725968462548086, 0.07718989196166928, -0.12640925130524142, -0.3270495904393361, 0.4524462200435145, 0.0022965477513415475, 0.2339676257622029, 0.037471898921233204, 0.10331565001147933, 0.020812483738908278, 0.006167366029694676, -0.027736557887276702, -0.19148428482304944, 0.16482251099161138, 0.2838928178197291, 0.03085841050571097, 0.14950411490696883, -0.4093193250309144, -0.14725421076374395, 0.16132916546027576, 0.12122245117622826, 0.0742280863857429, 0.008185715436203672, -0.24210673003191394, 0.06815472419330035, -0.2024515400607405, -0.1645432768356321, -0.1276164871041796, 0.041084150715531516, -0.006078745311658297, -0.2281119389027091, -0.009794084932322481, 0.0953554140803005, 0.09478340061780598, -0.10475378146511502, -0.09336109547543206, -0.05771687796638746, 0.08019860455367182, -0.013832457789352963, 0.012198795088832932, 0.06302494991437665, -0.11307319322768308, -0.1304582991470982, 0.3659395897228803, -0.10395723252981302, -0.249076129396313, 0.14026781238083327, -0.15092823536168518, -0.17042457286734133, 0.07089645771442779, 0.10330506547221116, 0.20261717939616314, 0.005651207554287144, 0.17592614924235803, -0.11539558691105672, 0.05221163278578648, 0.0882780565747193, -0.009373954397493176, 0.12342782527391266, 0.07925430073935007, 0.07683291098635112, 0.14568954252005953, -0.023874279412640524, -0.04996191662991935, -0.38299978633544274, -0.2521038651932031, -0.12083794585196302, 0.14386300044466874, -0.07843250057152805, -0.1621467446259755, 0.3990488741846223, 0.09425454224651081, 0.22703450883938267, 0.10944567778247542, 0.23981028308085764, 0.076951200016109, 0.039899008583909434, 0.043150343942189855, 0.13543517641457065, 0.2118001503686953, 0.004758655702296112, -0.1425074225125302, -0.061040755735510696, 0.2154587590468249] |
708.1438 | Particle acceleration in relativistic subluminal shock environments | The understanding of the particle spectra resulting from acceleration in
relativistic shocks as they occur in extragalactic sources, is essential for
the interpretation of the cosmic ray spectrum above the ankle ($E_p>3\cdot
10^{18}$ eV). It is believed that extragalactic sources like Active Galactic
Nuclei and Gamma Ray Bursts can produce particle spectra up to $E_p\sim
10^{21}$ eV. In this contribution, subluminal shocks are investigated with
respect to different shock boost factors $\Gamma$ and the inclination angle
between the shock normal and the magnetic field $\psi$. A correlation between
the boost factor and the spectral behavior of the emitted particles is found.
The results are compared to Active Galactic Nuclei and Gamma Ray Burst diffuse
cosmic ray contribution and the observed cosmic ray spectrum at the highest
energies.
| astro-ph | the understanding of the particle spectra resulting from acceleration in relativistic shocks as they occur in extragalactic sources is essential for the interpretation of the cosmic ray spectrum above the ankle e_p3cdot 1018 ev it is believed that extragalactic sources like active galactic nuclei and gamma ray bursts can produce particle spectra up to e_psim 1021 ev in this contribution subluminal shocks are investigated with respect to different shock boost factors gamma and the inclination angle between the shock normal and the magnetic field psi a correlation between the boost factor and the spectral behavior of the emitted particles is found the results are compared to active galactic nuclei and gamma ray burst diffuse cosmic ray contribution and the observed cosmic ray spectrum at the highest energies | [['the', 'understanding', 'of', 'the', 'particle', 'spectra', 'resulting', 'from', 'acceleration', 'in', 'relativistic', 'shocks', 'as', 'they', 'occur', 'in', 'extragalactic', 'sources', 'is', 'essential', 'for', 'the', 'interpretation', 'of', 'the', 'cosmic', 'ray', 'spectrum', 'above', 'the', 'ankle', 'e_p3cdot', '1018', 'ev', 'it', 'is', 'believed', 'that', 'extragalactic', 'sources', 'like', 'active', 'galactic', 'nuclei', 'and', 'gamma', 'ray', 'bursts', 'can', 'produce', 'particle', 'spectra', 'up', 'to', 'e_psim', '1021', 'ev', 'in', 'this', 'contribution', 'subluminal', 'shocks', 'are', 'investigated', 'with', 'respect', 'to', 'different', 'shock', 'boost', 'factors', 'gamma', 'and', 'the', 'inclination', 'angle', 'between', 'the', 'shock', 'normal', 'and', 'the', 'magnetic', 'field', 'psi', 'a', 'correlation', 'between', 'the', 'boost', 'factor', 'and', 'the', 'spectral', 'behavior', 'of', 'the', 'emitted', 'particles', 'is', 'found', 'the', 'results', 'are', 'compared', 'to', 'active', 'galactic', 'nuclei', 'and', 'gamma', 'ray', 'burst', 'diffuse', 'cosmic', 'ray', 'contribution', 'and', 'the', 'observed', 'cosmic', 'ray', 'spectrum', 'at', 'the', 'highest', 'energies']] | [-0.06267094326019287, 0.25236840509995817, -0.03788512871041894, 0.18563786213262937, -0.05768837003037333, -0.03367688606772572, -0.009535988289862872, 0.4428613325953484, -0.24909206784144045, -0.36790146498242393, -0.07119488646741956, -0.3644994924925268, 0.01756934490054846, 0.24606021662987768, 0.0652667441368103, -0.05458655659202486, 0.007598791813477874, -0.009044174671173095, -0.00562957104947418, -0.1289498975723982, 0.25439135265164076, 0.2459511979073286, 0.24220174900442362, 0.0345337528930977, 0.09445532118529082, -0.08662466004118323, -0.06649911323003471, -0.05139083128236234, -0.08799384734994965, 0.05317462591640651, 0.23662519160658121, 0.08886457017809153, 0.11278131029009819, -0.379521322786808, -0.2678856146419421, 0.12513292464986445, 0.1640408244188875, -0.02732199899107218, -0.07305233068950474, -0.2618241285905242, 0.050308937102556225, -0.14270690043084325, -0.1756939905434847, 0.08245818708091975, -0.00923396975453943, 0.08355515673570335, -0.18126262608915567, 0.11064920147694647, 0.026962298661470412, 0.0062925142198801045, -0.10182775636855512, -0.07612039348483085, 0.020404077790677547, 0.0751328700594604, 0.16959950279351324, 0.09471072497591376, 0.21903575939382428, -0.15352000681869685, -0.07501076672924682, 0.47455411142110826, -0.03921706009469926, -0.03721159347891807, 0.18305596488714218, -0.24680938695464283, -0.15073493422195317, 0.2795612043738365, 0.1701526343151927, 0.06034594184346497, -0.14005875930190087, 0.06587060780543834, 0.055324249923229214, 0.1299086197465658, 0.07293095003068448, 0.027956025693565607, 0.25384125834703447, 0.0685232983995229, 0.04593030723929405, 0.03004424332268536, -0.22614617982506752, 0.03407953114621341, -0.312908930554986, -0.10095971951261162, -0.12039828272908926, 0.11039052099362015, -0.11933860016171821, -0.12218447843473404, 0.37284158324450256, 0.067698676886037, 0.1719861281560734, -0.020452081821858883, 0.26446794933080675, 0.09374186178855598, -0.013787042185664176, 0.14603720178082585, 0.3702373425215483, 0.16599552708864213, 0.10226445871591568, -0.22606486902199685, 0.053431456696242094, 0.006979769293218851] |
708.1439 | The Optimal Form of Distribution Networks Applied to the Kidney and Lung | A model is proposed to minimize the total volume of the main distribution
networks of fluids in relation to the organ form. The minimization analysis
shows that the overall exterior form of distribution networks is a modified
ellipsoid, a geometric form that is a good approximation to the external
anatomy of the kidney and lung. The variational procedure implementing this
minimization is similar to the traditional isoperimetric theorems of geometry.
A revised version of this preprint that expands Section 4 will be published
in the Journal of Biological Systems, World Scientific Publishing.
| q-bio.TO q-bio.QM | a model is proposed to minimize the total volume of the main distribution networks of fluids in relation to the organ form the minimization analysis shows that the overall exterior form of distribution networks is a modified ellipsoid a geometric form that is a good approximation to the external anatomy of the kidney and lung the variational procedure implementing this minimization is similar to the traditional isoperimetric theorems of geometry a revised version of this preprint that expands section 4 will be published in the journal of biological systems world scientific publishing | [['a', 'model', 'is', 'proposed', 'to', 'minimize', 'the', 'total', 'volume', 'of', 'the', 'main', 'distribution', 'networks', 'of', 'fluids', 'in', 'relation', 'to', 'the', 'organ', 'form', 'the', 'minimization', 'analysis', 'shows', 'that', 'the', 'overall', 'exterior', 'form', 'of', 'distribution', 'networks', 'is', 'a', 'modified', 'ellipsoid', 'a', 'geometric', 'form', 'that', 'is', 'a', 'good', 'approximation', 'to', 'the', 'external', 'anatomy', 'of', 'the', 'kidney', 'and', 'lung', 'the', 'variational', 'procedure', 'implementing', 'this', 'minimization', 'is', 'similar', 'to', 'the', 'traditional', 'isoperimetric', 'theorems', 'of', 'geometry', 'a', 'revised', 'version', 'of', 'this', 'preprint', 'that', 'expands', 'section', '4', 'will', 'be', 'published', 'in', 'the', 'journal', 'of', 'biological', 'systems', 'world', 'scientific', 'publishing']] | [-0.1030969354140562, -0.009478900146306209, -0.12166591851121705, 0.08792408857666685, -0.08272016115243667, -0.07433360033040948, 0.020420615784014048, 0.3107315316269903, -0.24029016970661873, -0.31418762275058293, 0.08094158352121114, -0.28140131034888327, -0.18090339482802412, 0.15936782281926792, -0.15402349255695616, 0.04955412125791949, 0.09210373679145603, 0.0164960076344078, -0.05044063612180964, -0.26450279693159723, 0.27929345488993695, 0.06238340637039231, 0.3150766866127252, 0.05551931244933613, 0.0723078477844272, 0.004704140769520208, -0.02289764263601366, 0.051835173837152186, -0.12422100311699108, 0.21276160458143314, 0.24260621760850368, 0.17414817197815233, 0.31016419352153723, -0.3881852595216554, -0.21266194364136976, 0.09247563463008113, 0.11671362945344299, 0.09208867479237201, -4.0292000883947246e-05, -0.23711626779328546, 0.06886436634838743, -0.17415840089645074, -0.14308505238580477, -0.020919014335326527, 0.02625301390197938, 0.022120353300124407, -0.2308077158446869, 0.11913866477856494, 0.06704041310181112, 0.03784236135771093, -0.10013093368109802, -0.11615720569439557, -0.005326643987285459, 0.11152265845980171, 0.029705532840402473, 0.08273596175865311, 0.16833307310614898, -0.13958554023765432, -0.08216490685109697, 0.38619260702525143, -0.019329384622245056, -0.21555674102400307, 0.10885201273081095, -0.10460494359469284, -0.113279779841516, 0.10758242520007669, 0.20318142162274022, 0.0757996588692312, -0.20673949136803654, 0.06958639203588499, -0.07036202573521144, 0.16229490302730878, 0.07604012745635017, -0.08402868613863931, 0.11802664164291776, 0.18125108126348452, 0.05335642320468374, 0.15919755628704518, -0.059353822756194226, -0.13225879686196212, -0.31485733250156045, -0.19796803482281772, -0.1803425021429101, 0.061781512594872925, -0.09856228971250897, -0.21412129574657782, 0.36500079305994365, 0.09606330253439449, 0.16947979286677486, 0.046309438642904, 0.32197291460698063, 0.07367823323558854, 0.08101360674481839, 0.04697947233469914, 0.22598482741285925, 0.1480230595005433, 0.13689082831589747, -0.17310453722830457, 0.07206657528371105, 0.07991387827686318] |
708.144 | The Disk Mass of Spiral Galaxies | We derive the disk masses of 18 spiral galaxies of different luminosity and
Hubble Type, both by mass modelling their rotation curves and by fitting their
SED with spectro-photometric models. The good agreement of the estimates
obtained from these two different methods allows us to quantify the reliability
of their performance and to derive very accurate stellar mass-to-light ratio vs
color (and stellar mass) relationships.
| astro-ph | we derive the disk masses of 18 spiral galaxies of different luminosity and hubble type both by mass modelling their rotation curves and by fitting their sed with spectrophotometric models the good agreement of the estimates obtained from these two different methods allows us to quantify the reliability of their performance and to derive very accurate stellar masstolight ratio vs color and stellar mass relationships | [['we', 'derive', 'the', 'disk', 'masses', 'of', '18', 'spiral', 'galaxies', 'of', 'different', 'luminosity', 'and', 'hubble', 'type', 'both', 'by', 'mass', 'modelling', 'their', 'rotation', 'curves', 'and', 'by', 'fitting', 'their', 'sed', 'with', 'spectrophotometric', 'models', 'the', 'good', 'agreement', 'of', 'the', 'estimates', 'obtained', 'from', 'these', 'two', 'different', 'methods', 'allows', 'us', 'to', 'quantify', 'the', 'reliability', 'of', 'their', 'performance', 'and', 'to', 'derive', 'very', 'accurate', 'stellar', 'masstolight', 'ratio', 'vs', 'color', 'and', 'stellar', 'mass', 'relationships']] | [-0.003915180265903473, 0.020297149740732632, -0.09561827194232207, 0.163542066141963, -0.09196197192829389, -0.08953866851157867, 0.06703883926742352, 0.4583623952590502, -0.12250060997186946, -0.46209197262158763, 0.04150398782311151, -0.2287177893012995, 0.010714128577651886, 0.23854841286889636, -0.07468986597915109, 0.07519407215026709, 0.051818076986819506, -0.12074303245171905, -0.1398006193053264, -0.2604362286054171, 0.3340735678202831, 0.029364091945955385, 0.20592651335665813, -0.056714080173808794, 0.054713234023970124, -0.06202784887729929, -0.15106133116552464, -0.03470962936273561, -0.2538072851844705, 0.13077648712250475, 0.18691957054481742, 0.15298509108475766, 0.15789807447447227, -0.34466341653695476, -0.15508573109713886, 0.08109706399532465, 0.17507069623814178, 0.036200642709333736, -0.03413441927673725, -0.22602813759675391, 0.014742829306767537, -0.17523663164868664, -0.15870409907343297, -0.015443115810362193, 0.01078335354104638, 0.07332470714329527, -0.2562440468714787, 0.1561936126377147, -0.04097756253412137, 0.1035803591975799, -0.15763168442510786, -0.1412714302826386, -0.12844230600704368, 0.17180488825990603, 0.050190671069475896, 0.029841171205043794, 0.1475522420512369, -0.16027760390335552, -0.0028316265115371116, 0.401091978011223, -0.07261380802463883, -0.06098530842707707, 0.26516412678532875, -0.14876248826487706, -0.08107037583652597, 0.07511920486218654, 0.18466685998898286, 0.07407366938602467, -0.21497175469994545, -0.023867285896379212, 0.03017524086798613, 0.19233331909546486, 0.03377463427873758, 0.05483246468479942, 0.31216798291828196, 0.06230035093254768, -0.03454444858317192, 0.0300701160574905, -0.21529565296637324, -0.04451077902832856, -0.19429655050715575, -0.06375151702287929, -0.10045335464573536, 0.04910824427810999, -0.27307697700676864, -0.09981310757306906, 0.3913831717692889, 0.13870503068543397, 0.2856898693224558, 0.179001024326023, 0.31056799464500867, 0.09412732132209035, 0.08780248950665387, 0.08154436895767084, 0.3268059774588507, 0.22443873736326797, 0.06751709213623634, -0.3133844566567299, 0.06534903212092244, 0.02844167729982963] |
708.1441 | The Cosmic Web: Geometric Analysis | The lecture notes describe the Delaunay Tessellation Field Estimator for
Cosmic Web analysis. The high sensitivity of Voronoi/Delaunay tessellations to
the local point distribution is used to obtain estimates of density and related
quantities. The adaptive and minimum triangulation properties of Delaunay
tessellations are utilized for interpolation to continuous volume-covering
density and velocity fields. The adaptivity to the local density and geometry
preserves three key characteristics of the cosmic matter distribution: 1) its
hierarchical nature,2) its anisotropic weblike morphology, 3) the presence and
structure of voids. The lecture notes discuss the mathematical context and
background of the DTFE method, in essence a first order version of Natural
Neighbour methods, smooth and higher order spatial interpolation techniques.
This is followed by an outline of the DTFE procedure. A series of tests on
spatially complex point distributions provides quantitative information on its
performance and noise characteristics. We conclude with a few cosmological
applications. The reconstruction of the spatial weblike patterns in N-body
simulations and in the 2dFGRS provide a visual impression of DTFE's
performance. The analysis of the velocity divergence pdf and maps obtained of
the velocity flow in the Local Universe (implied by PSCz) illustrate its
promise for probing the dynamics of cosmic structure. The Watershed Void Finder
(Platen et al. 2007), for the study of voids, and Multiscale Morphology Filter
(Aragon-Calvo et al. 2007), for identifying and analyzing weblike networks of
filaments, sheets and clusters, are based upon DTFE density fields. We also
mention SimpleX, a related random lattice radiative transfer formalism
(Ritzerveld & Icke 2006).
| astro-ph | the lecture notes describe the delaunay tessellation field estimator for cosmic web analysis the high sensitivity of voronoidelaunay tessellations to the local point distribution is used to obtain estimates of density and related quantities the adaptive and minimum triangulation properties of delaunay tessellations are utilized for interpolation to continuous volumecovering density and velocity fields the adaptivity to the local density and geometry preserves three key characteristics of the cosmic matter distribution 1 its hierarchical nature2 its anisotropic weblike morphology 3 the presence and structure of voids the lecture notes discuss the mathematical context and background of the dtfe method in essence a first order version of natural neighbour methods smooth and higher order spatial interpolation techniques this is followed by an outline of the dtfe procedure a series of tests on spatially complex point distributions provides quantitative information on its performance and noise characteristics we conclude with a few cosmological applications the reconstruction of the spatial weblike patterns in nbody simulations and in the 2dfgrs provide a visual impression of dtfes performance the analysis of the velocity divergence pdf and maps obtained of the velocity flow in the local universe implied by pscz illustrate its promise for probing the dynamics of cosmic structure the watershed void finder platen et al 2007 for the study of voids and multiscale morphology filter aragoncalvo et al 2007 for identifying and analyzing weblike networks of filaments sheets and clusters are based upon dtfe density fields we also mention simplex a related random lattice radiative transfer formalism ritzerveld icke 2006 | [['the', 'lecture', 'notes', 'describe', 'the', 'delaunay', 'tessellation', 'field', 'estimator', 'for', 'cosmic', 'web', 'analysis', 'the', 'high', 'sensitivity', 'of', 'voronoidelaunay', 'tessellations', 'to', 'the', 'local', 'point', 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708.1442 | Cosmic ray acceleration at modified shocks | The non-linear back reaction of accelerated cosmic rays at the shock fronts,
leads to the formation of a smooth precursor with a length scale corresponding
to the diffusive scale of the energetic particles. Past works claimed that
shocklets could be created in the precursor region of a specific shock width,
which might energize few thermal particles to sufficient acceleration and
furthermore this precursor region may act as confining large angle scatterer
for very high energy cosmic rays. On the other hand, it has been shown that the
smoothing of the shock front could lower the acceleration efficiency. These
controversies motivated us to investigate numerically by Monte Carlo
simulations the particle acceleration efficiency in oblique modified shocks.
The results show flatter spectra compared to the spectra of the pressumed sharp
discontinuity shock fronts. The findings are in accordance with theoretical
predictions, since the scattering inside the precursor confines high energy
particles to further scattering, resulting in higher energies making the whole
acceleration process more efficient.
| astro-ph | the nonlinear back reaction of accelerated cosmic rays at the shock fronts leads to the formation of a smooth precursor with a length scale corresponding to the diffusive scale of the energetic particles past works claimed that shocklets could be created in the precursor region of a specific shock width which might energize few thermal particles to sufficient acceleration and furthermore this precursor region may act as confining large angle scatterer for very high energy cosmic rays on the other hand it has been shown that the smoothing of the shock front could lower the acceleration efficiency these controversies motivated us to investigate numerically by monte carlo simulations the particle acceleration efficiency in oblique modified shocks the results show flatter spectra compared to the spectra of the pressumed sharp discontinuity shock fronts the findings are in accordance with theoretical predictions since the scattering inside the precursor confines high energy particles to further scattering resulting in higher energies making the whole acceleration process more efficient | [['the', 'nonlinear', 'back', 'reaction', 'of', 'accelerated', 'cosmic', 'rays', 'at', 'the', 'shock', 'fronts', 'leads', 'to', 'the', 'formation', 'of', 'a', 'smooth', 'precursor', 'with', 'a', 'length', 'scale', 'corresponding', 'to', 'the', 'diffusive', 'scale', 'of', 'the', 'energetic', 'particles', 'past', 'works', 'claimed', 'that', 'shocklets', 'could', 'be', 'created', 'in', 'the', 'precursor', 'region', 'of', 'a', 'specific', 'shock', 'width', 'which', 'might', 'energize', 'few', 'thermal', 'particles', 'to', 'sufficient', 'acceleration', 'and', 'furthermore', 'this', 'precursor', 'region', 'may', 'act', 'as', 'confining', 'large', 'angle', 'scatterer', 'for', 'very', 'high', 'energy', 'cosmic', 'rays', 'on', 'the', 'other', 'hand', 'it', 'has', 'been', 'shown', 'that', 'the', 'smoothing', 'of', 'the', 'shock', 'front', 'could', 'lower', 'the', 'acceleration', 'efficiency', 'these', 'controversies', 'motivated', 'us', 'to', 'investigate', 'numerically', 'by', 'monte', 'carlo', 'simulations', 'the', 'particle', 'acceleration', 'efficiency', 'in', 'oblique', 'modified', 'shocks', 'the', 'results', 'show', 'flatter', 'spectra', 'compared', 'to', 'the', 'spectra', 'of', 'the', 'pressumed', 'sharp', 'discontinuity', 'shock', 'fronts', 'the', 'findings', 'are', 'in', 'accordance', 'with', 'theoretical', 'predictions', 'since', 'the', 'scattering', 'inside', 'the', 'precursor', 'confines', 'high', 'energy', 'particles', 'to', 'further', 'scattering', 'resulting', 'in', 'higher', 'energies', 'making', 'the', 'whole', 'acceleration', 'process', 'more', 'efficient']] | [-0.08087131482166199, 0.19438683667771542, -0.08998472598953418, 0.12603046945008983, -0.08647008273647698, -0.08249624095217216, -0.012562155654293947, 0.3925293118013012, -0.28361611823877036, -0.3118121417216454, 0.03587209546161484, -0.25794125967687626, -0.019680943428624444, 0.22362280577104082, 0.029972109557600816, 0.015132990494324752, 0.0669312437537749, -0.015693086202319233, -0.030183588874532034, -0.19470942490934137, 0.2398879040929666, 0.22730402153648116, 0.2584381400853213, 0.10646410047882265, 0.07583761861422128, -0.07949851782409692, 0.0006406357657575717, 0.007368949899718485, -0.14519789649012566, 0.05855548510647899, 0.18930689336880585, 0.05403322550650983, 0.24412255843335684, -0.4935360283482294, -0.2955512860332804, 0.07493780214236649, 0.2153518710633957, 0.09105886867415572, -0.08179390378858097, -0.25784460824851424, 0.02398289063876849, -0.12329687194275939, -0.20588379918934743, 0.03127761547413706, -0.01242096032633052, 0.051274591203039066, -0.22692851834227704, 0.1047269775092236, 0.011596925710927856, -0.05274418081825405, -0.05703102216335939, -0.05388548436997447, -0.03965875230146789, 0.0382271169854808, 0.11326955453020612, 0.045217855316565365, 0.18542284301076473, -0.1456709973859755, -0.07293862040423177, 0.3803786950905813, -0.06731952697701432, -0.09755761645437201, 0.26036514164422825, -0.20958000908611468, -0.0873003396708404, 0.26298167545097006, 0.15810371780813745, 0.08534835841566712, -0.11989650657640462, 0.023430631895609587, 0.013613583122957155, 0.11615919329631685, 0.11956649887564083, -0.020361629523268324, 0.22357190508064043, 0.15256323482204898, 0.030866885860593406, 0.11689815400104021, -0.1479487750230243, -0.07566983254763521, -0.29070358459432066, -0.14068828449881654, -0.14687651360944554, 0.02908785931160388, -0.11660491039201923, -0.15124814723746172, 0.34326924744456366, 0.15022933281798478, 0.19095017485023458, -0.017193906505569314, 0.27170608137831365, 0.1126561273561442, 0.040131803799100634, 0.10527085393175849, 0.31563060860966613, 0.12108638653163141, 0.1313863356277758, -0.2395909455436299, 0.0907939397529956, 0.03564979184841726] |
708.1443 | Measurement of D^0, D^+, D_s^+ and D^{*+} Production in Fixed Target 920
GeV Proton-Nucleus Collisions | The inclusive production cross sections of the charmed mesons D^0, D^+, D_s^+
and D^{*+} have been measured in interactions of 920 GeV protons on C, Ti, and
W targets with the HERA-B detector at the HERA storage ring. Differential cross
sections as a function of transverse momentum and Feynman's x variable are
given for the central rapidity region and for transverse momenta up to
$\pT=3.5$ GeV/$c$. The atomic mass number dependence and the leading to
non-leading particle production asymmetries are presented as well.
| hep-ex | the inclusive production cross sections of the charmed mesons d0 d d_s and d have been measured in interactions of 920 gev protons on c ti and w targets with the herab detector at the hera storage ring differential cross sections as a function of transverse momentum and feynmans x variable are given for the central rapidity region and for transverse momenta up to pt35 gevc the atomic mass number dependence and the leading to nonleading particle production asymmetries are presented as well | [['the', 'inclusive', 'production', 'cross', 'sections', 'of', 'the', 'charmed', 'mesons', 'd0', 'd', 'd_s', 'and', 'd', 'have', 'been', 'measured', 'in', 'interactions', 'of', '920', 'gev', 'protons', 'on', 'c', 'ti', 'and', 'w', 'targets', 'with', 'the', 'herab', 'detector', 'at', 'the', 'hera', 'storage', 'ring', 'differential', 'cross', 'sections', 'as', 'a', 'function', 'of', 'transverse', 'momentum', 'and', 'feynmans', 'x', 'variable', 'are', 'given', 'for', 'the', 'central', 'rapidity', 'region', 'and', 'for', 'transverse', 'momenta', 'up', 'to', 'pt35', 'gevc', 'the', 'atomic', 'mass', 'number', 'dependence', 'and', 'the', 'leading', 'to', 'nonleading', 'particle', 'production', 'asymmetries', 'are', 'presented', 'as', 'well']] | [-0.06596209841962086, 0.23823118348401495, -0.07026895564745135, 0.10207654431280566, 0.026456236941512765, -0.12216537803973684, -0.0262846353395683, 0.35438145603984594, -0.1911768194106294, -0.28488128434684945, -0.1107594439285671, -0.40796729863235137, 0.153278449300404, 0.13763449077420617, 0.10967959541076419, 0.16458096042298143, 0.07353893433493085, 0.012243678259504278, -0.026249067346769864, -0.20595863199134062, 0.28795595898679116, 0.05689853769386324, 0.18291008876772916, 0.2076554873080856, 0.0962519110975469, 0.08879564195394335, -0.05368209755042477, -0.031172305050237877, -0.1467391508886954, 0.03757069068506542, 0.2864765476594429, 0.013753698152779579, 0.06712289999818384, -0.30228648701875765, -0.03764660687117678, 0.0908887371450674, 0.16747632613632737, 0.038971913989815046, -0.02613763151855049, -0.27645743357744523, 0.07931358949849154, -0.2271535064025623, -0.12739207950937448, -0.05824858718551695, 0.12428183805924363, 0.04584150100354015, -0.30849616211362, 0.08697190641130252, -0.06079918387340291, 0.08073759979068688, -0.0020741040125580095, -0.2618739423682777, -0.12136556118408717, -0.013603404419860098, 0.09925045923716048, 0.13932004517864255, 0.2145823937636323, -0.11322566239438701, -0.17295192851026248, 0.3463754491971397, -0.004267067594521838, -0.2007434034447481, 0.11654165583072094, -0.278497462671977, -0.06956503200117589, 0.21120813866032334, 0.2769704489605274, 0.10689975217299923, -0.1764627808318814, 0.10906820070273925, -0.0003493086934634825, 0.1472498182343637, 0.14786061343577941, 0.11263108775928253, 0.13968279115037946, 0.19138673604210477, -0.04283288131125851, 0.0001606752672914143, -0.175818502320908, -0.05170319300917227, -0.44093049553836267, -0.16273465769638013, -0.04560302233141733, 0.09008817088778881, -0.043699707022957536, -0.0319679897369408, 0.32502149912051675, -0.03507724088593954, 0.36612347608841045, -0.02067726584741982, 0.3147065560219855, 0.0842781455920464, 0.09226117349689736, 0.0903886290403401, 0.27992808958515525, 0.24872294594476954, 0.2194041696365741, -0.22954174490054932, 0.0396781076915653, 0.04898034360418778] |
708.1444 | Efficiency limits of diffusive shock acceleration | It is well accepted today that diffusive acceleration in shocks results to
the cosmic ray spectrum formation. This is in principle true for
non-relativistic shocks, since there is a detailed theory covering a large
range of their properties and the resulting power-law spectrum, which is
nevertheless not as efficient to reach the very high energies observed in the
cosmic ray spectrum. On the other hand, the cosmic ray maximum energy and the
resulting spectra from relativistic shocks, are still under investigation and
debate concerning their contribution to the features of the cosmic ray spectrum
and the measured, or implied, cosmic ray radiation from candidate astrophysical
sources. Here, we discuss the efficiency of the first order Fermi (diffusive)
acceleration mechanism up to relativistic shock speeds, presenting Monte Carlo
simulations.
| astro-ph | it is well accepted today that diffusive acceleration in shocks results to the cosmic ray spectrum formation this is in principle true for nonrelativistic shocks since there is a detailed theory covering a large range of their properties and the resulting powerlaw spectrum which is nevertheless not as efficient to reach the very high energies observed in the cosmic ray spectrum on the other hand the cosmic ray maximum energy and the resulting spectra from relativistic shocks are still under investigation and debate concerning their contribution to the features of the cosmic ray spectrum and the measured or implied cosmic ray radiation from candidate astrophysical sources here we discuss the efficiency of the first order fermi diffusive acceleration mechanism up to relativistic shock speeds presenting monte carlo simulations | [['it', 'is', 'well', 'accepted', 'today', 'that', 'diffusive', 'acceleration', 'in', 'shocks', 'results', 'to', 'the', 'cosmic', 'ray', 'spectrum', 'formation', 'this', 'is', 'in', 'principle', 'true', 'for', 'nonrelativistic', 'shocks', 'since', 'there', 'is', 'a', 'detailed', 'theory', 'covering', 'a', 'large', 'range', 'of', 'their', 'properties', 'and', 'the', 'resulting', 'powerlaw', 'spectrum', 'which', 'is', 'nevertheless', 'not', 'as', 'efficient', 'to', 'reach', 'the', 'very', 'high', 'energies', 'observed', 'in', 'the', 'cosmic', 'ray', 'spectrum', 'on', 'the', 'other', 'hand', 'the', 'cosmic', 'ray', 'maximum', 'energy', 'and', 'the', 'resulting', 'spectra', 'from', 'relativistic', 'shocks', 'are', 'still', 'under', 'investigation', 'and', 'debate', 'concerning', 'their', 'contribution', 'to', 'the', 'features', 'of', 'the', 'cosmic', 'ray', 'spectrum', 'and', 'the', 'measured', 'or', 'implied', 'cosmic', 'ray', 'radiation', 'from', 'candidate', 'astrophysical', 'sources', 'here', 'we', 'discuss', 'the', 'efficiency', 'of', 'the', 'first', 'order', 'fermi', 'diffusive', 'acceleration', 'mechanism', 'up', 'to', 'relativistic', 'shock', 'speeds', 'presenting', 'monte', 'carlo', 'simulations']] | [-0.08765856702302699, 0.17168153752572834, -0.08393499307567254, 0.1811192392369776, -0.07516096686777018, -0.029222614430182148, 0.005091806818199984, 0.4001764938730048, -0.2935032458153728, -0.35742064981604926, 0.02656752814527863, -0.30059697572141886, -0.0008269574991572881, 0.2595651435021864, 0.04967221185870585, 0.0007618813397129998, 0.045136863212974276, -0.024592798414232675, -0.02318372524496226, -0.1935255188436713, 0.26989416865762905, 0.25834572153689805, 0.2596003736725834, 0.08376014188752379, 0.10202354496868793, -0.06428310661613068, -0.06362012320460053, 0.003902617560925137, -0.12882117258078551, 0.07746216235000247, 0.20284203283517854, 0.11201367892499547, 0.1743709615257103, -0.4243679592909757, -0.2950124531635083, 0.09520736108243, 0.13382667966561712, 0.07755900854590436, -0.08597512177925637, -0.21847026447721873, 0.06977566084242426, -0.17342102080147015, -0.15662763674845337, 0.019659898476675153, -0.02176379264710704, 0.04805953713002964, -0.17728156373777892, 0.1150533712534525, 0.026916766998510866, 0.00029168555920477957, -0.0736473059596392, -0.034329237714700866, 0.019786790593570913, 0.06583056116778607, 0.13943252916851634, 0.021864314179765643, 0.14228301343609928, -0.16290130038214556, -0.09314148598787142, 0.47496073856018484, -0.0649326659995495, -0.06771320754342014, 0.23333678444032557, -0.24141746475652326, -0.16283735163688107, 0.21374487137290998, 0.1293572008726187, 0.09556889823943493, -0.15582368422474246, 0.08258535186723748, 0.03116224517725641, 0.1036200493999786, 0.041076525271819264, 0.025982328985264758, 0.25044476894981926, 0.12389579226055503, 0.03170763805610477, 0.040810009924371116, -0.14256374017531925, -0.05276326170132961, -0.3124325881653931, -0.11294716064730892, -0.18452129606885137, 0.10422586273364232, -0.07220767261924266, -0.18108997656554493, 0.367646944228909, 0.14244855818105862, 0.15255211113253608, 0.020898969668451173, 0.30429336654833605, 0.10209711075776795, -0.021030772073572734, 0.14179858500574483, 0.3169736172858393, 0.13258964947453933, 0.1248050034228072, -0.22247392693680013, 0.06308469392115512, 0.023565566574689] |
708.1445 | Nanostructures, Magnetic Semiconductors and Spinelectronics | A short overview is given of recent advances in the field of
nanosemiconductors, which are suitable as materials for spin polarized
transport of charge carriers. On the basis of last theoretical and experimental
achievements it is shown that development of diluted and wide forbidden zone
semiconductors with controlled disorders as well as their molecular structures
is the very prospective way for magnetic semiconductors preparation.
| cond-mat.mtrl-sci | a short overview is given of recent advances in the field of nanosemiconductors which are suitable as materials for spin polarized transport of charge carriers on the basis of last theoretical and experimental achievements it is shown that development of diluted and wide forbidden zone semiconductors with controlled disorders as well as their molecular structures is the very prospective way for magnetic semiconductors preparation | [['a', 'short', 'overview', 'is', 'given', 'of', 'recent', 'advances', 'in', 'the', 'field', 'of', 'nanosemiconductors', 'which', 'are', 'suitable', 'as', 'materials', 'for', 'spin', 'polarized', 'transport', 'of', 'charge', 'carriers', 'on', 'the', 'basis', 'of', 'last', 'theoretical', 'and', 'experimental', 'achievements', 'it', 'is', 'shown', 'that', 'development', 'of', 'diluted', 'and', 'wide', 'forbidden', 'zone', 'semiconductors', 'with', 'controlled', 'disorders', 'as', 'well', 'as', 'their', 'molecular', 'structures', 'is', 'the', 'very', 'prospective', 'way', 'for', 'magnetic', 'semiconductors', 'preparation']] | [-0.11615402822286659, 0.1882822128781487, 0.006485755067496072, 0.011440205385923267, -0.04415159781892148, -0.10809336750886388, 0.011506488997607476, 0.43730557301924344, -0.24657473164714044, -0.2984492320803896, 0.10129191298296468, -0.24162422667538364, -0.1412943730515147, 0.28933475339519127, 0.0034169510213865172, 0.052504640368242116, 0.05047589661701331, -0.05879800633660385, -0.05434269330553001, -0.20312141301849532, 0.2550990226131583, 0.06259054122936158, 0.30897949794159524, 0.12232459972183855, 0.04806516000202724, 0.027136677151752844, 0.037083926540429864, 0.022262026600184896, -0.09187134413387246, 0.16697053606843665, 0.30770919871117386, -0.00017694783737025563, 0.24550138982308525, -0.4687224497929925, -0.25541987062047516, -0.00973737667063399, 0.12089683580404473, 0.16407941255740643, -0.14028089306694233, -0.2637639286011339, 0.060057055417610895, -0.15224398754625804, -0.11737001650331039, -0.11489678902684577, 0.07986242149860436, 0.08138048589702636, -0.22117321307231333, 0.041151743263952316, 0.05148556698594124, 0.10041349019027418, -0.07727078234939466, -0.17941750013934715, -0.024749602106148526, 0.11916846642270684, 0.08728684837161194, 0.07561251354248573, 0.1843317147300002, -0.17350823678711932, -0.14664531176880238, 0.40392392640194247, -0.04893566383832386, -0.08768586906796647, 0.20215768295355022, -0.15535801761443652, -0.08844343984558706, 0.11762005191237207, 0.12092469199486668, 0.16041075405738656, -0.15575235189189987, 0.09594600521848493, -0.020888594540929985, 0.07888670519940437, -0.021849465297742024, 0.14314730042621257, 0.28916443825241117, 0.25542542935600354, 0.04007998335781315, 0.07335610407596779, -0.06667012613015397, -0.06812926199996755, -0.27247749431620516, -0.19623341477875197, -0.2342740084074201, 0.08046955408321486, 0.030558944569386928, -0.1944519107184735, 0.42471895136293913, 0.13306337961601833, 0.15984742355252068, -0.06922287214362609, 0.26143741779147633, 0.06687368753565741, 0.07578044490785235, -0.020317093609640048, 0.23492059111964728, 0.20743956042838002, 0.11919826736289357, -0.17400676274435625, 0.10200679620971814, -0.040527415284443466] |
708.1446 | Capillary wave turbulence on a spherical fluid surface in low gravity | We report the observation of capillary wave turbulence on the surface of a
fluid layer in a low-gravity environment. In such conditions, the fluid covers
all the internal surface of the spherical container which is submitted to
random forcing. The surface wave amplitude displays power-law spectrum over two
decades in frequency, corresponding to wavelength from $mm$ to a few $cm$. This
spectrum is found in roughly good agreement with wave turbulence theory. Such a
large scale observation without gravity waves has never been reached during
ground experiments. When the forcing is periodic, two-dimensional spherical
patterns are observed on the fluid surface such as subharmonic stripes or
hexagons with wavelength satisfying the capillary wave dispersion relation.
| cond-mat.other nlin.CD physics.class-ph physics.flu-dyn | we report the observation of capillary wave turbulence on the surface of a fluid layer in a lowgravity environment in such conditions the fluid covers all the internal surface of the spherical container which is submitted to random forcing the surface wave amplitude displays powerlaw spectrum over two decades in frequency corresponding to wavelength from mm to a few cm this spectrum is found in roughly good agreement with wave turbulence theory such a large scale observation without gravity waves has never been reached during ground experiments when the forcing is periodic twodimensional spherical patterns are observed on the fluid surface such as subharmonic stripes or hexagons with wavelength satisfying the capillary wave dispersion relation | [['we', 'report', 'the', 'observation', 'of', 'capillary', 'wave', 'turbulence', 'on', 'the', 'surface', 'of', 'a', 'fluid', 'layer', 'in', 'a', 'lowgravity', 'environment', 'in', 'such', 'conditions', 'the', 'fluid', 'covers', 'all', 'the', 'internal', 'surface', 'of', 'the', 'spherical', 'container', 'which', 'is', 'submitted', 'to', 'random', 'forcing', 'the', 'surface', 'wave', 'amplitude', 'displays', 'powerlaw', 'spectrum', 'over', 'two', 'decades', 'in', 'frequency', 'corresponding', 'to', 'wavelength', 'from', 'mm', 'to', 'a', 'few', 'cm', 'this', 'spectrum', 'is', 'found', 'in', 'roughly', 'good', 'agreement', 'with', 'wave', 'turbulence', 'theory', 'such', 'a', 'large', 'scale', 'observation', 'without', 'gravity', 'waves', 'has', 'never', 'been', 'reached', 'during', 'ground', 'experiments', 'when', 'the', 'forcing', 'is', 'periodic', 'twodimensional', 'spherical', 'patterns', 'are', 'observed', 'on', 'the', 'fluid', 'surface', 'such', 'as', 'subharmonic', 'stripes', 'or', 'hexagons', 'with', 'wavelength', 'satisfying', 'the', 'capillary', 'wave', 'dispersion', 'relation']] | [-0.198730334546417, 0.2108171361407427, -0.07841738397660462, 0.015256911952493955, -0.07017147228040772, -0.08718889916275183, -0.03534393327857327, 0.36555026761539605, -0.23315448941581923, -0.29265264029736104, 0.08481975518490957, -0.25617186150959004, -0.11475829643440312, 0.2136484294826084, 0.008544331208964728, 0.09225368156786198, 0.03146106145223198, 0.014361430336113857, -0.012067059362712114, -0.14425502450448338, 0.2927417504661919, 0.04463010625508816, 0.2848762075295267, 0.02543840654923216, 0.06829585923772791, -0.050170296459944676, 0.013023932209319395, 0.04827573385656528, -0.17772688656316504, -0.005030277383554241, 0.22487400089512052, 0.010163703200447818, 0.21762669384884445, -0.4711556911306537, -0.29616013105715744, 0.03405813971615356, 0.1024501148307615, 0.1192384622697516, -0.000860091013347973, -0.255728952040005, 0.035931285353296476, -0.13546139117654252, -0.1685094067259975, 0.04786917175287786, 0.07225342091658842, 0.04885504230370988, -0.21834599205657193, 0.1097589890492837, 0.04919922525549064, 0.10624949096337609, -0.09305392886795427, -0.07845181156071308, -0.07583962489405403, 0.060653623636133726, 0.07525466440002555, 0.06635209536179901, 0.1217070080825816, -0.13201754803202398, -0.013638049485566824, 0.40246615645516176, -0.11333009143785128, -0.16053439905947964, 0.2300488083825811, -0.21037801657195973, -0.022037634156320405, 0.21367137449914994, 0.1606256368205599, 0.027178357999123957, -0.08121102874372256, 0.04641714837078167, -0.08486097362651693, 0.23275473376978997, 0.1877169190156881, -0.0027472382457547255, 0.27839507535099983, 0.1926443589669045, 0.06694185626085686, 0.12023211342647024, -0.15136889461630387, -0.054066561437819315, -0.28135481444389926, -0.1165696909053899, -0.20742461971189502, 0.038479924237649156, -0.050390636758959814, -0.21877868266209313, 0.38613827730650485, 0.06761808578815798, 0.14030443005587745, 0.04526528605037247, 0.25411562455980025, 0.10010335343262261, 0.060657492154480325, 0.06674898619378876, 0.2752570167204122, 0.14098967294532644, 0.12495478646040124, -0.18445310639015033, -0.005107269132428843, 0.0286717784287327] |
708.1447 | On the adhesion of particles to a cell layer under flow | The non-specific adhesion of spherical particles to a cell substrate is
analyzed in a parallel plate flow chamber, addressing the effect of the
particle size. Differently from other experiments, the total volume of the
injected particles has been fixed, rather than the total number of particles,
as the diameter d of the particles is changed from 500 nm up to 10 $\mu$m. From
the analysis of the experimental data, simple and instructive scaling adhesion
laws have been derived showing that (i) the number of particles adherent to the
cell layer per unit surface decreases with the size of the particle as d^(-1.7)
; and consequently (ii) the volume of the particles adherent per unit surface
increases with the size of the particles as d^(+1.3). These results are of
importance in the "rational design" of nanoparticles for drug delivery and
biomedical imaging.
| cond-mat.mtrl-sci | the nonspecific adhesion of spherical particles to a cell substrate is analyzed in a parallel plate flow chamber addressing the effect of the particle size differently from other experiments the total volume of the injected particles has been fixed rather than the total number of particles as the diameter d of the particles is changed from 500 nm up to 10 mum from the analysis of the experimental data simple and instructive scaling adhesion laws have been derived showing that i the number of particles adherent to the cell layer per unit surface decreases with the size of the particle as d17 and consequently ii the volume of the particles adherent per unit surface increases with the size of the particles as d13 these results are of importance in the rational design of nanoparticles for drug delivery and biomedical imaging | [['the', 'nonspecific', 'adhesion', 'of', 'spherical', 'particles', 'to', 'a', 'cell', 'substrate', 'is', 'analyzed', 'in', 'a', 'parallel', 'plate', 'flow', 'chamber', 'addressing', 'the', 'effect', 'of', 'the', 'particle', 'size', 'differently', 'from', 'other', 'experiments', 'the', 'total', 'volume', 'of', 'the', 'injected', 'particles', 'has', 'been', 'fixed', 'rather', 'than', 'the', 'total', 'number', 'of', 'particles', 'as', 'the', 'diameter', 'd', 'of', 'the', 'particles', 'is', 'changed', 'from', '500', 'nm', 'up', 'to', '10', 'mum', 'from', 'the', 'analysis', 'of', 'the', 'experimental', 'data', 'simple', 'and', 'instructive', 'scaling', 'adhesion', 'laws', 'have', 'been', 'derived', 'showing', 'that', 'i', 'the', 'number', 'of', 'particles', 'adherent', 'to', 'the', 'cell', 'layer', 'per', 'unit', 'surface', 'decreases', 'with', 'the', 'size', 'of', 'the', 'particle', 'as', 'd17', 'and', 'consequently', 'ii', 'the', 'volume', 'of', 'the', 'particles', 'adherent', 'per', 'unit', 'surface', 'increases', 'with', 'the', 'size', 'of', 'the', 'particles', 'as', 'd13', 'these', 'results', 'are', 'of', 'importance', 'in', 'the', 'rational', 'design', 'of', 'nanoparticles', 'for', 'drug', 'delivery', 'and', 'biomedical', 'imaging']] | [-0.06528515646766339, 0.20733797903771378, -0.02185996166829552, -0.023780565466066557, 0.00214839619418074, -0.12279468206688762, 0.047869514101850134, 0.33019020105046887, -0.24068929264321923, -0.36374609406505315, 0.06255691941353558, -0.33372423720013883, -0.07389376325133656, 0.17701355016823592, -0.032003539797733536, 0.0387537831507091, 0.02119473627701934, 0.03078804210859484, 0.011876358964946121, -0.23311761851489013, 0.22801838360693572, 0.09147168371460533, 0.2745368692491736, 0.0878377948688077, 0.1218218938213665, -0.013271264169764306, -0.013662974233739078, 0.053293228287241486, -0.150667622088648, 0.11459823549459024, 0.1670181075867731, 0.05892000247923923, 0.2477597640561206, -0.46998386279280696, -0.20832311654064273, 0.07200122535661128, 0.16460563037627643, 0.0757184887720671, -0.06219326755298035, -0.20016336049385636, 0.08379705826020134, -0.11399939531194313, -0.15447565208056144, 0.056084187501775365, 0.08040085027460009, 0.08107653100991488, -0.21570723043488604, 0.0739628084719048, 0.03200464139226824, 0.07653752530126699, -0.083132693747757, -0.15673705260269344, -0.06610388787396784, 0.14834988954743103, 0.0808506538526022, 0.011064536047966353, 0.25439578052610157, -0.12997232593729027, -0.05516674578788557, 0.40603990791631595, -0.016364621868810252, -0.20791898696417255, 0.2009995004810792, -0.1641358323278837, -0.023592242240348633, 0.21043371753767132, 0.18491399914159307, 0.09822362975017833, -0.11792285875417292, 0.05341712274863052, -0.04513967472926846, 0.20631278548223367, 0.11239883349543171, -0.0014635744704199689, 0.18105307008538926, 0.23388056924034442, 0.03704399739425363, 0.15517180294056224, -0.17684141401134965, -0.06997253664303571, -0.2804246051037418, -0.2242582158784249, -0.21948739095823838, 0.028149520387108037, -0.14234166234767015, -0.13972783802476313, 0.3377262592049582, 0.07024437933162386, 0.1964434934048248, 0.0437915411179087, 0.2603540502887751, 0.029508918533143254, 0.14374514394439758, 0.003426865933995162, 0.2469760010151991, 0.12028959392545013, 0.13044287663069554, -0.2230076118097973, 0.03276947507568236, 0.013098706025630236] |
708.1448 | Coherent quasiparticle transport in grain boundary junctions employing
high-Tc superconductors | Magneto-fluctuations of the normal resistance RN have been reproducibly
observed in YBa2Cu3O7-d biepitaxial grain boundary junctions at low
temperatures. We attribute them to mesoscopic transport in narrow channels
across the grain boundary line, occurring in an unusual energy regime. The
Thouless energy appears to be the relevant energy scale. Possible implications
on the understanding of coherent transport of quasiparticles in HTS and of the
dissipation mechanisms are discussed.
| cond-mat.mtrl-sci | magnetofluctuations of the normal resistance rn have been reproducibly observed in yba2cu3o7d biepitaxial grain boundary junctions at low temperatures we attribute them to mesoscopic transport in narrow channels across the grain boundary line occurring in an unusual energy regime the thouless energy appears to be the relevant energy scale possible implications on the understanding of coherent transport of quasiparticles in hts and of the dissipation mechanisms are discussed | [['magnetofluctuations', 'of', 'the', 'normal', 'resistance', 'rn', 'have', 'been', 'reproducibly', 'observed', 'in', 'yba2cu3o7d', 'biepitaxial', 'grain', 'boundary', 'junctions', 'at', 'low', 'temperatures', 'we', 'attribute', 'them', 'to', 'mesoscopic', 'transport', 'in', 'narrow', 'channels', 'across', 'the', 'grain', 'boundary', 'line', 'occurring', 'in', 'an', 'unusual', 'energy', 'regime', 'the', 'thouless', 'energy', 'appears', 'to', 'be', 'the', 'relevant', 'energy', 'scale', 'possible', 'implications', 'on', 'the', 'understanding', 'of', 'coherent', 'transport', 'of', 'quasiparticles', 'in', 'hts', 'and', 'of', 'the', 'dissipation', 'mechanisms', 'are', 'discussed']] | [-0.2060965909970118, 0.2146002728469868, -0.05417282458867377, 0.05492297858138805, -0.01757629993093659, -0.1459515893505191, 0.057883151813841134, 0.39216704522051027, -0.2798156118048216, -0.3014595924195514, 0.01754153448977132, -0.2558144858982692, -0.03816838957953142, 0.2221246773043453, -0.025757371357628213, 0.06487091162255895, -0.047760772901072876, -0.028464168613366505, -0.028902606358369394, -0.15848015640764984, 0.30409177132784876, 0.059355649775686435, 0.36457003764252166, 0.15136598307750562, 0.022927156593928587, -0.12086314455529591, 0.06441674537178296, 0.03336459766628582, -0.20711290613928837, 0.023517782994504296, 0.3040914459348614, -0.1276938921125578, 0.18693779748099953, -0.5264141377784423, -0.2668302980348913, 0.030586834781483482, 0.14186954820127254, 0.10721855220704604, 0.007468859301949504, -0.21164491522879994, 0.04217593520601739, -0.09210130819745029, -0.14456811411056056, 0.004700056326518238, 0.04586132236325474, -0.0075406912269432155, -0.18972418768637217, 0.13635784243024998, 0.046416486670791325, 0.06511754813645758, -0.09536046518096283, -0.11951827724922949, -0.07330901825230625, 0.07798441582873686, 0.03587835333518573, -0.03291023420447956, 0.19457136944011064, -0.16138764353441973, -0.07577881294844756, 0.3110890411285322, 0.00041271498732602417, -0.06992283719244288, 0.22987700473089745, -0.18199873431029714, -0.054247163256991714, 0.19272026397399047, 0.14018203730959056, 0.10469873341620524, -0.18888808803549453, 0.06373405571872327, 0.013668840316666373, 0.0839952230940003, 0.09441984788889983, 0.11467872184715164, 0.2685499347523967, 0.23584948826682017, -0.0026986555773208837, 0.12630113062566953, -0.16804606026888186, -0.07670997161115867, -0.28316848435953484, -0.16227882142776429, -0.1686159740619139, 0.08681232678884668, -0.05724036731777205, -0.16027931529861777, 0.37440176370706574, 0.1819366995356421, 0.24137786778607476, -0.07396730576309987, 0.213411374337304, 0.1454077808311515, 0.10700077615650509, 0.06402131824740279, 0.22615586275429422, 0.13850727952571948, 0.1530485224854479, -0.30375160627178294, 0.09112176693864722, -0.030983698099100992] |
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