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709.1035 | Scaling and aging in the homogeneous cooling state of a granular fluid
of hard particles | The presence of the aging phenomenon in the homogeneous cooling state (HCS)
of a granular fluid composed of inelastic hard spheres or disks is
investigated. As a consequence of the scaling property of the $N$-particle
distribution function, it is obtained that the decay of the normalized two-time
correlation functions slows down as the time elapsed since the beginning of the
measurement increases. This result is confirmed by molecular dynamics
simulations for the particular case of the total energy of the system. The
agreement is also quantitative in the low density limit, for which an explicit
analytical form of the time correlation function has been derived. The reported
results also provide support for the existence of the HCS as a solution of the
N-particle Liouville equation.
| cond-mat.stat-mech | the presence of the aging phenomenon in the homogeneous cooling state hcs of a granular fluid composed of inelastic hard spheres or disks is investigated as a consequence of the scaling property of the nparticle distribution function it is obtained that the decay of the normalized twotime correlation functions slows down as the time elapsed since the beginning of the measurement increases this result is confirmed by molecular dynamics simulations for the particular case of the total energy of the system the agreement is also quantitative in the low density limit for which an explicit analytical form of the time correlation function has been derived the reported results also provide support for the existence of the hcs as a solution of the nparticle liouville equation | [['the', 'presence', 'of', 'the', 'aging', 'phenomenon', 'in', 'the', 'homogeneous', 'cooling', 'state', 'hcs', 'of', 'a', 'granular', 'fluid', 'composed', 'of', 'inelastic', 'hard', 'spheres', 'or', 'disks', 'is', 'investigated', 'as', 'a', 'consequence', 'of', 'the', 'scaling', 'property', 'of', 'the', 'nparticle', 'distribution', 'function', 'it', 'is', 'obtained', 'that', 'the', 'decay', 'of', 'the', 'normalized', 'twotime', 'correlation', 'functions', 'slows', 'down', 'as', 'the', 'time', 'elapsed', 'since', 'the', 'beginning', 'of', 'the', 'measurement', 'increases', 'this', 'result', 'is', 'confirmed', 'by', 'molecular', 'dynamics', 'simulations', 'for', 'the', 'particular', 'case', 'of', 'the', 'total', 'energy', 'of', 'the', 'system', 'the', 'agreement', 'is', 'also', 'quantitative', 'in', 'the', 'low', 'density', 'limit', 'for', 'which', 'an', 'explicit', 'analytical', 'form', 'of', 'the', 'time', 'correlation', 'function', 'has', 'been', 'derived', 'the', 'reported', 'results', 'also', 'provide', 'support', 'for', 'the', 'existence', 'of', 'the', 'hcs', 'as', 'a', 'solution', 'of', 'the', 'nparticle', 'liouville', 'equation']] | [-0.13425950568914413, 0.12789288983226288, -0.11292903955467046, 0.07593414933141321, 0.02400355695746839, -0.04174284034967422, 0.02021925588697195, 0.29899337713420393, -0.24446275877393783, -0.28084319376945494, 0.09179102492891252, -0.27728035107627513, -0.11504198540188372, 0.17304226684756577, 0.06589472626149655, 0.079955620162189, 0.05335228778235614, 0.04494533569016494, -0.07570536234090104, -0.20209018095582723, 0.29716796830296516, 0.08740380718861707, 0.2737955132871866, 0.07887308827787638, 0.1098888346357271, 0.018807936996221544, -0.005451398333534598, 0.01387199804931879, -0.15974790561414556, 0.027960235759615898, 0.18349076029565187, 0.07992087418399751, 0.24326233953237533, -0.4260425077676773, -0.2080583497658372, 0.08067406733706593, 0.1733845263957046, 0.0715048669828102, -0.05009999888762832, -0.2327700179796666, 0.03681717052962631, -0.15909761991351842, -0.20441512651368976, -0.022310654303058983, 0.052810524720698596, 0.06167081158235669, -0.24431954200565814, 0.15634079250460492, 0.07814902970008553, 0.020979588963091374, -0.10671142895892262, -0.08588480360712857, -0.02619751891121268, 0.14478559470828622, 0.056719005219638345, 0.05134123337827623, 0.13100142910704016, -0.16855099628306924, -0.05704205281659961, 0.3617447421774268, -0.09076661970186979, -0.18080361270939466, 0.18680148013774306, -0.1739891908057034, -0.11175291757774539, 0.1717409016266465, 0.10453506806865334, 0.109496054623276, -0.14345926044881344, 0.0789942264354322, -0.0843366102548316, 0.15624925040453672, 0.051383468460291626, 0.03092425814497983, 0.16028980582952498, 0.18194906331785024, 0.04110575905162841, 0.18376300103403628, -0.08683101776987315, -0.14231754783540965, -0.30978238438814876, -0.19789882393181324, -0.230791707649827, 0.0766122297719121, -0.09267937857285143, -0.17489323112741112, 0.35145791403762994, 0.07391033190861344, 0.19276099748536946, 0.09256456237006933, 0.2793461233973503, 0.19223394561279566, 0.03119741374626756, 0.03204005345702171, 0.26496880380809307, 0.16369504018872977, 0.12386266789585353, -0.2605144379362464, 0.11251438716799021, 0.044971681429073214] |
709.1036 | Longitudinal and Transverse Form Factors from $^{12}$C | Electron scattering form factors from $^{12}$C have been studied in the
framework of the particle-hole shell model. Higher configurations are taken
into account by allowing particle-hole excitations from the 1$s$ and 1$p$
shells core orbits up to the 1$f-2p$ shell. The inclusion of the higher
configurations modifies the form factors markedly and describes the
experimental data very well in all momentum transfer regions.
| nucl-th | electron scattering form factors from 12c have been studied in the framework of the particlehole shell model higher configurations are taken into account by allowing particlehole excitations from the 1s and 1p shells core orbits up to the 1f2p shell the inclusion of the higher configurations modifies the form factors markedly and describes the experimental data very well in all momentum transfer regions | [['electron', 'scattering', 'form', 'factors', 'from', '12c', 'have', 'been', 'studied', 'in', 'the', 'framework', 'of', 'the', 'particlehole', 'shell', 'model', 'higher', 'configurations', 'are', 'taken', 'into', 'account', 'by', 'allowing', 'particlehole', 'excitations', 'from', 'the', '1s', 'and', '1p', 'shells', 'core', 'orbits', 'up', 'to', 'the', '1f2p', 'shell', 'the', 'inclusion', 'of', 'the', 'higher', 'configurations', 'modifies', 'the', 'form', 'factors', 'markedly', 'and', 'describes', 'the', 'experimental', 'data', 'very', 'well', 'in', 'all', 'momentum', 'transfer', 'regions']] | [-0.07906452824376643, 0.1534202957916404, -0.060558545455757166, 0.11232989601370308, 0.0352377081815634, -0.08087408924174885, 0.03916868768752583, 0.3667582516227999, -0.18987506787262617, -0.2966219955274174, -0.035275287272769115, -0.3246570864632245, -0.033977525368813544, 0.10198377496037152, 0.09140268564149137, 0.002957827156229365, 0.04832371638246601, -0.024246112967375666, -0.0950974946270787, -0.15477951716691737, 0.36372987530194223, 0.05955408535326921, 0.2886233905841026, 0.06557301926096121, 0.021914444595289927, 0.009492065036489118, 0.004028518196015108, -0.02182521765691138, -0.09936224772114187, 0.07392973298086755, 0.2168725181897659, 0.051085967491681296, 0.18382662316904433, -0.4921997278448074, -0.19340850452652142, 1.4958813065482723e-05, 0.1850712056001348, 0.16543125042751913, 0.0008704688009475508, -0.3114753384143114, 0.018289833389703306, -0.2577929326573447, -0.1347531051329908, -0.10531058023503471, 0.03266180560533558, 0.017632044190841335, -0.2325793509972432, 0.06622260295215153, 0.07885275314178979, -0.02248120079598119, -0.16624172298508066, -0.22302413664968504, -0.06686002246269415, 0.1552026329652196, 0.10040714101858376, -0.003020973177626729, 0.15383720853471108, -0.14645914537381502, -0.03867357176157736, 0.43940473011424463, 0.004280396256475679, -0.15741354518479878, 0.13826024027601366, -0.22622626798317558, -0.06134537844017388, 0.25296917022956955, 0.13018117156048725, 0.07707377331474075, -0.12344964868539283, 0.11193794671318404, -0.003360815871987612, 0.12673652196122753, 0.09834576093952262, 0.0447042626178553, 0.200006096128134, 0.11878142830344939, -0.043115214936645524, 0.13025398840827326, -0.1277223342969533, -0.12378989543104844, -0.27482984221029666, -0.058393483981490135, -0.1067845250288355, 0.004578662164989979, -0.0467995328358337, -0.08521203314810391, 0.3717327355482285, 0.025308674554370584, 0.26226066010478405, -0.05128241069014034, 0.2483352942527422, 0.12044906685309063, 0.15704246124462976, 0.10473925885443966, 0.2457018199887487, 0.15952423822149756, 0.04378570790492719, -0.2603440455296227, 0.03475212610717262, 0.017793482409850243] |
709.1037 | The joint large-scale foreground-CMB posteriors of the 3-year WMAP data | Using a Gibbs sampling algorithm for joint CMB estimation and component
separation, we compute the large-scale CMB and foreground posteriors of the
3-yr WMAP temperature data. Our parametric data model includes the cosmological
CMB signal and instrumental noise, a single power law foreground component with
free amplitude and spectral index for each pixel, a thermal dust template with
a single free overall amplitude, and free monopoles and dipoles at each
frequency. This simple model yields a surprisingly good fit to the data over
the full frequency range from 23 to 94 GHz. We obtain a new estimate of the CMB
sky signal and power spectrum, and a new foreground model, including a
measurement of the effective spectral index over the high-latitude sky. A
particularly significant result is the detection of a common spurious offset in
all frequency bands of ~ -13muK, as well as a dipole in the V-band data.
Correcting for these is essential when determining the effective spectral index
of the foregrounds. We find that our new foreground model is in good agreement
with template-based model presented by the WMAP team, but not with their MEM
reconstruction. We believe the latter may be at least partially compromised by
the residual offsets and dipoles in the data. Fortunately, the CMB power
spectrum is not significantly affected by these issues, as our new spectrum is
in excellent agreement with that published by the WMAP team. The corresponding
cosmological parameters are also virtually unchanged.
| astro-ph | using a gibbs sampling algorithm for joint cmb estimation and component separation we compute the largescale cmb and foreground posteriors of the 3yr wmap temperature data our parametric data model includes the cosmological cmb signal and instrumental noise a single power law foreground component with free amplitude and spectral index for each pixel a thermal dust template with a single free overall amplitude and free monopoles and dipoles at each frequency this simple model yields a surprisingly good fit to the data over the full frequency range from 23 to 94 ghz we obtain a new estimate of the cmb sky signal and power spectrum and a new foreground model including a measurement of the effective spectral index over the highlatitude sky a particularly significant result is the detection of a common spurious offset in all frequency bands of 13muk as well as a dipole in the vband data correcting for these is essential when determining the effective spectral index of the foregrounds we find that our new foreground model is in good agreement with templatebased model presented by the wmap team but not with their mem reconstruction we believe the latter may be at least partially compromised by the residual offsets and dipoles in the data fortunately the cmb power spectrum is not significantly affected by these issues as our new spectrum is in excellent agreement with that published by the wmap team the corresponding cosmological parameters are also virtually unchanged | [['using', 'a', 'gibbs', 'sampling', 'algorithm', 'for', 'joint', 'cmb', 'estimation', 'and', 'component', 'separation', 'we', 'compute', 'the', 'largescale', 'cmb', 'and', 'foreground', 'posteriors', 'of', 'the', '3yr', 'wmap', 'temperature', 'data', 'our', 'parametric', 'data', 'model', 'includes', 'the', 'cosmological', 'cmb', 'signal', 'and', 'instrumental', 'noise', 'a', 'single', 'power', 'law', 'foreground', 'component', 'with', 'free', 'amplitude', 'and', 'spectral', 'index', 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709.1038 | Emergent charge ordering in near half doped Na$_{0.46}$CoO$_{2}$ | We have utilized neutron powder diffraction to probe the crystal structure of
layered Na$_{x}$CoO$_{2}$ near the half doping composition of $x=$0.46 over the
temperature range of 2 to 600K. Our measurements show evidence of a dynamic
transition in the motion of Na-ions at 300K which coincides with the onset of a
near zero thermal expansion in the in-plane lattice constants. The effect of
the Na-ordering on the CoO$_{2}$ layer is reflected in the octahedral
distortion of the two crystallographically inequivalent Co-sites and is evident
even at high temperatures. We find evidence of a weak charge separation into
stripes of Co$^{+3.5+\epsilon}$ and Co$^{+3.5-\epsilon}$, $\epsilon\sim0.06e$
below \Tco=150K. We argue that changes in the Na(1)-O bond lengths observed at
the magnetic transition at \tm=88K reflect changes in the electronic state of
the CoO$_{2}$ layer
| cond-mat.str-el cond-mat.supr-con | we have utilized neutron powder diffraction to probe the crystal structure of layered na_xcoo_2 near the half doping composition of x046 over the temperature range of 2 to 600k our measurements show evidence of a dynamic transition in the motion of naions at 300k which coincides with the onset of a near zero thermal expansion in the inplane lattice constants the effect of the naordering on the coo_2 layer is reflected in the octahedral distortion of the two crystallographically inequivalent cosites and is evident even at high temperatures we find evidence of a weak charge separation into stripes of co35epsilon and co35epsilon epsilonsim006e below tco150k we argue that changes in the na1o bond lengths observed at the magnetic transition at tm88k reflect changes in the electronic state of the coo_2 layer | [['we', 'have', 'utilized', 'neutron', 'powder', 'diffraction', 'to', 'probe', 'the', 'crystal', 'structure', 'of', 'layered', 'na_xcoo_2', 'near', 'the', 'half', 'doping', 'composition', 'of', 'x046', 'over', 'the', 'temperature', 'range', 'of', '2', 'to', '600k', 'our', 'measurements', 'show', 'evidence', 'of', 'a', 'dynamic', 'transition', 'in', 'the', 'motion', 'of', 'naions', 'at', '300k', 'which', 'coincides', 'with', 'the', 'onset', 'of', 'a', 'near', 'zero', 'thermal', 'expansion', 'in', 'the', 'inplane', 'lattice', 'constants', 'the', 'effect', 'of', 'the', 'naordering', 'on', 'the', 'coo_2', 'layer', 'is', 'reflected', 'in', 'the', 'octahedral', 'distortion', 'of', 'the', 'two', 'crystallographically', 'inequivalent', 'cosites', 'and', 'is', 'evident', 'even', 'at', 'high', 'temperatures', 'we', 'find', 'evidence', 'of', 'a', 'weak', 'charge', 'separation', 'into', 'stripes', 'of', 'co35epsilon', 'and', 'co35epsilon', 'epsilonsim006e', 'below', 'tco150k', 'we', 'argue', 'that', 'changes', 'in', 'the', 'na1o', 'bond', 'lengths', 'observed', 'at', 'the', 'magnetic', 'transition', 'at', 'tm88k', 'reflect', 'changes', 'in', 'the', 'electronic', 'state', 'of', 'the', 'coo_2', 'layer']] | [-0.1589981322441765, 0.2193310830848125, -0.0363384705582043, -0.0074320085236908705, 0.007921367550526208, -0.06258333538378763, 0.10841915669010543, 0.40566016848736663, -0.2991799164934432, -0.27843330611997263, 0.044114900861745625, -0.34811134734077426, -0.06850055721777726, 0.1293326361195707, 0.07308190808124174, -0.0405754081685308, -0.04195114445486447, 0.0465222235321355, -0.14512752041947552, -0.16652023930734827, 0.29516591654893587, 0.03522151267549735, 0.32396011798059554, 0.11772836498136262, 0.07838584952874154, -0.005915511543370359, 0.09862575686832027, 0.04162516749304969, -0.1686914663147716, 0.040563007308538374, 0.2323219041847359, -0.06645918918993111, 0.17504653378344345, -0.41950915443400544, -0.19677408200090493, -0.010392081692845114, 0.10394855344864895, 0.12404316304274267, -0.042267855554222834, -0.21674737490607593, 0.09017733406517806, -0.08981201587986898, -0.13426805151308455, -0.03664865325076309, -0.021004577333910195, -0.010179071346434152, -0.24297733887948655, 0.12034868230244403, 0.08337997162252725, 0.12208101264678123, -0.14296948074597896, -0.13730389136268295, -0.09126427629394684, 0.08972621361376733, 0.04772396825208533, 0.05404825666465047, 0.14672699235985434, -0.10907728661502886, -0.06425453943192838, 0.3704163388205253, -0.06512347837470896, -0.03802262543041895, 0.1580408673725901, -0.24985019557511176, -0.10683694170273053, 0.2193919058768003, 0.11872318959406887, 0.09397817937263507, -0.07766967484153943, 0.032892083795551905, -0.007546235453261714, 0.2033701453914457, 0.10880504297925447, 0.06005793718272835, 0.2535574080184011, 0.1892609811166483, 0.043116826198737676, 0.16272591778675352, -0.1569227217526243, -0.05009239326359901, -0.23270723310761093, -0.14751241990266656, -0.17377093922142395, 0.025870098066099776, -0.12395475123705138, -0.19289332554047187, 0.3710231922370026, 0.139783763451638, 0.2044950899160732, -0.05498016810109006, 0.20501367211705301, 0.07109330802383583, 0.09363883488425394, 0.03739283913822194, 0.2702151751316084, 0.14981817561618196, 0.13119675675160972, -0.29384309743205467, 0.1133549896625393, -0.00972898026580006] |
709.1039 | Critical scaling of stochastic epidemic models | In the simple mean-field SIS and SIR epidemic models, infection is
transmitted from infectious to susceptible members of a finite population by
independent $p-$coin tosses. Spatial variants of these models are proposed, in
which finite populations of size $N$ are situated at the sites of a lattice and
infectious contacts are limited to individuals at neighboring sites. Scaling
laws for both the mean-field and spatial models are given when the infection
parameter $p$ is such that the epidemics are critical. It is shown that in all
cases there is a critical threshold for the numbers initially infected: below
the threshold, the epidemic evolves in essentially the same manner as its
branching envelope, but at the threshold evolves like a branching process with
a size-dependent drift.
| math.PR | in the simple meanfield sis and sir epidemic models infection is transmitted from infectious to susceptible members of a finite population by independent pcoin tosses spatial variants of these models are proposed in which finite populations of size n are situated at the sites of a lattice and infectious contacts are limited to individuals at neighboring sites scaling laws for both the meanfield and spatial models are given when the infection parameter p is such that the epidemics are critical it is shown that in all cases there is a critical threshold for the numbers initially infected below the threshold the epidemic evolves in essentially the same manner as its branching envelope but at the threshold evolves like a branching process with a sizedependent drift | [['in', 'the', 'simple', 'meanfield', 'sis', 'and', 'sir', 'epidemic', 'models', 'infection', 'is', 'transmitted', 'from', 'infectious', 'to', 'susceptible', 'members', 'of', 'a', 'finite', 'population', 'by', 'independent', 'pcoin', 'tosses', 'spatial', 'variants', 'of', 'these', 'models', 'are', 'proposed', 'in', 'which', 'finite', 'populations', 'of', 'size', 'n', 'are', 'situated', 'at', 'the', 'sites', 'of', 'a', 'lattice', 'and', 'infectious', 'contacts', 'are', 'limited', 'to', 'individuals', 'at', 'neighboring', 'sites', 'scaling', 'laws', 'for', 'both', 'the', 'meanfield', 'and', 'spatial', 'models', 'are', 'given', 'when', 'the', 'infection', 'parameter', 'p', 'is', 'such', 'that', 'the', 'epidemics', 'are', 'critical', 'it', 'is', 'shown', 'that', 'in', 'all', 'cases', 'there', 'is', 'a', 'critical', 'threshold', 'for', 'the', 'numbers', 'initially', 'infected', 'below', 'the', 'threshold', 'the', 'epidemic', 'evolves', 'in', 'essentially', 'the', 'same', 'manner', 'as', 'its', 'branching', 'envelope', 'but', 'at', 'the', 'threshold', 'evolves', 'like', 'a', 'branching', 'process', 'with', 'a', 'sizedependent', 'drift']] | [-0.11194525300711393, 0.21200687170028687, -0.04641630274802446, 0.1010203336878476, -0.0007289830334484578, -0.22285387417674066, 0.1189098084717989, 0.35831860402226445, -0.23653588764742017, -0.23552429653704166, 0.10681394973769784, -0.3399001601487398, -0.13838797463662922, 0.10791413725912571, -0.022983115814626216, 0.010376593243796379, 0.03906228491477668, 0.07809796291124076, 0.0771060049943626, -0.28330985452234747, 0.3091273820064962, 0.03657167619653046, 0.26652122459933164, 0.003972688157111407, 0.08822837989404797, -0.014374932091683149, 0.0379780462149065, 0.0273127520695416, -0.14169157633616122, 0.002888258630177006, 0.2677204588383611, 0.10168174387927865, 0.30184108816087246, -0.38403793577849865, -0.23065756579488517, 0.12847380056232213, 0.20679527048114688, 0.1815384513279423, 0.04418360796570778, -0.24922184533439576, 0.07265905100479722, -0.14269734651595353, -0.15925267164036633, 0.06462631468474865, 0.07252100211381912, 0.08479354301095009, -0.29690321715921164, 0.10466144116222859, 0.009034880165010691, 0.09407206269353628, -0.0008864408815279603, -0.1448988203778863, -0.09508214749395848, 0.15679624808137305, 0.03484251733100973, -0.029185086500598117, 0.1755906829200685, -0.13638940523192286, -0.08039956505596638, 0.32516229545138775, 0.007541749779134989, -0.18050839667767285, 0.20196684277057647, -0.1679058254994452, -0.11353653669450432, 0.16839000293426215, 0.18088507389603184, 0.06774066997133195, -0.14319184370583388, 0.040910053411964326, -0.003938767623156309, 0.1324621993303299, 0.033343282390385864, -0.03908499550446868, 0.1644973858743906, 0.22781336355023085, 0.08512434618826956, 0.062035125978291035, -0.06853268478065729, -0.16673662136867642, -0.2595515799559653, -0.053195952199399474, -0.16293319014552982, 0.060329736885614695, -0.13665196070412639, -0.18398824212769976, 0.36842389080673454, 0.1240297157280147, 0.20622280969470738, 0.12707239026669412, 0.21993194925785065, 0.12882530986424537, 0.05064362808689475, 0.09213981402479113, 0.16832389841973783, 0.1138263889271766, 0.0626884160283953, -0.19691705435700715, 0.18601805436238647, 0.002697232972830534] |
709.104 | What is Minimal Model of 3He Adsorbed on Graphite? -Importance of
Density Fluctuations in 4/7 Registered Solid - | We show theoretically that the second layer of 3He adsorbed on graphite and
solidified at 4/7 of the first-layer density is close to the fluid-solid
boundary with substantial density fluctuations on the third layer. The solid
shows a translational symmetry breaking as in charge-ordered insulators of
electronic systems. We construct a minimal model beyond the multiple-exchange
Heisenberg model. An unexpectedly large magnetic field required for the
measured saturation of magnetization is well explained by the density
fluctuations. The emergence of quantum spin liquid is understood from the same
mechanism as in the Hubbard model and in \kappa-(ET)_2Cu_2(CN)_3 near the Mott
transitions.
| cond-mat.str-el | we show theoretically that the second layer of 3he adsorbed on graphite and solidified at 47 of the firstlayer density is close to the fluidsolid boundary with substantial density fluctuations on the third layer the solid shows a translational symmetry breaking as in chargeordered insulators of electronic systems we construct a minimal model beyond the multipleexchange heisenberg model an unexpectedly large magnetic field required for the measured saturation of magnetization is well explained by the density fluctuations the emergence of quantum spin liquid is understood from the same mechanism as in the hubbard model and in kappaet_2cu_2cn_3 near the mott transitions | [['we', 'show', 'theoretically', 'that', 'the', 'second', 'layer', 'of', '3he', 'adsorbed', 'on', 'graphite', 'and', 'solidified', 'at', '47', 'of', 'the', 'firstlayer', 'density', 'is', 'close', 'to', 'the', 'fluidsolid', 'boundary', 'with', 'substantial', 'density', 'fluctuations', 'on', 'the', 'third', 'layer', 'the', 'solid', 'shows', 'a', 'translational', 'symmetry', 'breaking', 'as', 'in', 'chargeordered', 'insulators', 'of', 'electronic', 'systems', 'we', 'construct', 'a', 'minimal', 'model', 'beyond', 'the', 'multipleexchange', 'heisenberg', 'model', 'an', 'unexpectedly', 'large', 'magnetic', 'field', 'required', 'for', 'the', 'measured', 'saturation', 'of', 'magnetization', 'is', 'well', 'explained', 'by', 'the', 'density', 'fluctuations', 'the', 'emergence', 'of', 'quantum', 'spin', 'liquid', 'is', 'understood', 'from', 'the', 'same', 'mechanism', 'as', 'in', 'the', 'hubbard', 'model', 'and', 'in', 'kappaet_2cu_2cn_3', 'near', 'the', 'mott', 'transitions']] | [-0.14414430545177312, 0.22451006045695976, -0.04952625886071473, 0.0502191578631755, 0.03038250397890806, -0.11457736297510564, 0.06905563795706257, 0.3374248321726918, -0.2706125717237592, -0.28609269430598944, 0.03904114421689883, -0.3003590624639764, -0.11386250594630837, 0.10772575031674933, 0.025501861018128694, 0.0266517175687477, -0.06989917761617108, 0.015539959599846043, -0.10892923987703398, -0.1664421174954623, 0.2702875753864646, 0.02737949534668587, 0.31280464654788376, 0.12062027603387833, 0.07543912588153034, -0.024008014479186386, 0.136985146519728, 0.010934468749910593, -0.14732258102194465, 0.046447516360494774, 0.2079371495777741, -0.09885168538428843, 0.1680356253730133, -0.4797204861603677, -0.22991654494777322, -0.000342045936267823, 0.11938744039274753, 0.1704183880914934, -0.042220829124562445, -0.2905917686223984, 0.030196968577802182, -0.1847576003521681, -0.1513285448294482, -0.08338039342314005, -0.015839581050677225, -0.018579121465154457, -0.21752429292537273, 0.1367663831077516, 0.06635170338093303, 0.11667528558522462, -0.11648593216203153, -0.10954349149018526, -0.11548610797151923, 0.05622378021478653, 0.05164433178200852, 0.0594620830565691, 0.16076105291140266, -0.16638133191969245, -0.08596055800095201, 0.402173709012568, -0.09020435261540115, -0.10483379461802542, 0.17522356969770045, -0.2042903147288598, -0.09257105966564268, 0.1609779427642934, 0.13042033744975925, 0.07436053660698234, -0.09930591186508536, 0.07383989052730612, -0.04563648579409346, 0.2022034315392375, -0.00780766764190048, 0.012500744783319534, 0.2489174118032679, 0.24729063234175555, 0.06509390498977155, 0.16509840084821917, -0.14237498329719528, -0.11323491121875122, -0.29182134800124915, -0.16979796309024095, -0.26302553958958014, 0.022729112759698182, -0.07190205265884288, -0.1820591307990253, 0.3843105924129486, 0.12856806768104434, 0.19187414976302533, -0.0491409395984374, 0.23082197171170266, 0.10747312977397087, 0.07990103181451559, 0.05087594773620367, 0.2723092785058543, 0.17444325694115834, 0.10803115700371563, -0.2814526334454422, 0.09299193955026568, 0.04242085041711107] |
709.1041 | Rainich theory applied to m-rank tensors in n-dimensions | We show a tensorial-computational way to find out conditions that must fulfil
an m-rank tensor in arbitrary dimension in order to be algebraically the
energy-momentum tensor of some field. We apply in this paper our method to
three 2-rank tensors: electromagnetic, mass less scalar field and perfect fluid
tensors. Finally we apply the Rainich theory to some examples.
| gr-qc | we show a tensorialcomputational way to find out conditions that must fulfil an mrank tensor in arbitrary dimension in order to be algebraically the energymomentum tensor of some field we apply in this paper our method to three 2rank tensors electromagnetic mass less scalar field and perfect fluid tensors finally we apply the rainich theory to some examples | [['we', 'show', 'a', 'tensorialcomputational', 'way', 'to', 'find', 'out', 'conditions', 'that', 'must', 'fulfil', 'an', 'mrank', 'tensor', 'in', 'arbitrary', 'dimension', 'in', 'order', 'to', 'be', 'algebraically', 'the', 'energymomentum', 'tensor', 'of', 'some', 'field', 'we', 'apply', 'in', 'this', 'paper', 'our', 'method', 'to', 'three', '2rank', 'tensors', 'electromagnetic', 'mass', 'less', 'scalar', 'field', 'and', 'perfect', 'fluid', 'tensors', 'finally', 'we', 'apply', 'the', 'rainich', 'theory', 'to', 'some', 'examples']] | [-0.14659553454992802, 0.13226130506122818, -0.08552586545416138, 0.04768222327581035, -0.1357216427731736, -0.08996011139498207, -0.09665077512168832, 0.38917770609259605, -0.22644747466894619, -0.2388460546764627, 0.0778499371719367, -0.23263442651123592, -0.2216276028234381, 0.12241244851509436, -0.03114151177323309, -0.005610141249602301, -0.00964493587155614, 0.10245187789724584, -0.09792031278719374, -0.30928406568668915, 0.3951007190748657, -0.0025195244887614983, 0.22753060726742996, 0.0838404302648677, 0.10409953344711348, -0.04590451952658201, -0.0060679973674970765, 0.0974343025305292, -0.1475873451498429, 0.061497148077346776, 0.2824768287766921, 0.11511845845859825, 0.2066353231611286, -0.444374687120057, -0.16568651932634806, 0.15177793666034153, 0.1113064386636803, 0.1558783193968498, -0.020890336663445884, -0.23286807752753558, 0.15043731756802453, -0.2119800397113227, -0.17260776130123096, -0.18049280985928418, -0.019439149366103504, -0.07752502255403158, -0.2994040946165721, 0.04600707858212685, 0.055476158628599684, 0.028853348946492923, -0.12311834383657888, -0.1009021063964291, 0.03423169071034512, 0.04501795101085711, 0.08694783606354081, 0.0007905272619896813, 0.0916784405626618, -0.1346404505893588, -0.06983398857093498, 0.3541709585850568, -0.09302360048056008, -0.2934050351185234, 0.1452815317050472, -0.13963198426522708, -0.13432816344133594, 0.06289016497076343, 0.177019752643741, 0.16282703617195549, -0.15063447083689666, 0.1048639355597021, -0.05587303169529166, 0.1342277294514995, 0.07975896220784962, -0.004955426365006389, 0.1502492013795857, -0.0011625003984622787, 0.07204456668216408, 0.17503582277506785, 0.007509070089119568, -0.04649437047345074, -0.37415592137135956, -0.22340228544188695, -0.1509424141167026, 0.11047966265233986, -0.13209112134931625, -0.1377854108026153, 0.391517733958991, 0.22895388082976928, 0.1302982567780929, 0.0820837549440432, 0.2836522391850227, 0.06318767342038387, 0.0678244079218099, 0.12839895954739564, 0.25628200871563567, 0.24374589018458337, 0.07796993475047904, -0.1506935547089629, -0.10301801533716028, 0.08551127088599299] |
709.1042 | Quantized vortices in atomic Bose-Einstein condensates | In this review, we give an overview of the experimental and theoretical
advances in the physics of quantized vortices in dilute atomic-gas
Bose--Einstein condensates in a trapping potential, especially focusing on
experimental research activities and their theoretical interpretations. Making
good use of the atom optical technique, the experiments have revealed many
novel structural and dynamic properties of quantized vortices by directly
visualizing vortex cores from an image of the density profiles. These results
lead to a deep understanding of superfluid hydrodynamics of such systems.
Typically, vortices are stabilized by a rotating potential created by a laser
beam, magnetic field, and thermal gas. Finite size effects and inhomogeneity of
the system, originating from the confinement by the trapping potential, yield
unique vortex dynamics coupled with the collective excitations of the
condensate. Measuring the frequencies of the collective modes is an accurate
tool for clarifying the character of the vortex state. The topics included in
this review are the mechanism of vortex formation, equilibrium properties, and
dynamics of a single vortex and those of a vortex lattice in a rapidly rotating
condensate.
| cond-mat.other cond-mat.mes-hall | in this review we give an overview of the experimental and theoretical advances in the physics of quantized vortices in dilute atomicgas boseeinstein condensates in a trapping potential especially focusing on experimental research activities and their theoretical interpretations making good use of the atom optical technique the experiments have revealed many novel structural and dynamic properties of quantized vortices by directly visualizing vortex cores from an image of the density profiles these results lead to a deep understanding of superfluid hydrodynamics of such systems typically vortices are stabilized by a rotating potential created by a laser beam magnetic field and thermal gas finite size effects and inhomogeneity of the system originating from the confinement by the trapping potential yield unique vortex dynamics coupled with the collective excitations of the condensate measuring the frequencies of the collective modes is an accurate tool for clarifying the character of the vortex state the topics included in this review are the mechanism of vortex formation equilibrium properties and dynamics of a single vortex and those of a vortex lattice in a rapidly rotating condensate | [['in', 'this', 'review', 'we', 'give', 'an', 'overview', 'of', 'the', 'experimental', 'and', 'theoretical', 'advances', 'in', 'the', 'physics', 'of', 'quantized', 'vortices', 'in', 'dilute', 'atomicgas', 'boseeinstein', 'condensates', 'in', 'a', 'trapping', 'potential', 'especially', 'focusing', 'on', 'experimental', 'research', 'activities', 'and', 'their', 'theoretical', 'interpretations', 'making', 'good', 'use', 'of', 'the', 'atom', 'optical', 'technique', 'the', 'experiments', 'have', 'revealed', 'many', 'novel', 'structural', 'and', 'dynamic', 'properties', 'of', 'quantized', 'vortices', 'by', 'directly', 'visualizing', 'vortex', 'cores', 'from', 'an', 'image', 'of', 'the', 'density', 'profiles', 'these', 'results', 'lead', 'to', 'a', 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709.1043 | Signals of the QCD Phase Transition in the Heavens | The modern phase diagram of strongly interacting matter reveals a rich
structure at high-densities due to phase transitions related to the chiral
symmetry of quantum chromodynamics (QCD) and the phenomenon of color
superconductivity. These exotic phases have significant impacts on high-density
astrophysics as the properties of neutron stars and the evolution of
astrophysical systems as proto-neutron stars, core-collapse supernovae and
neutron star mergers. Most recent pulsar mass measurements and constraints on
neutron star radii are critically discussed. Astrophysical signals for exotic
matter and phase transitions in high-density matter proposed recently in the
literature are outlined. A strong first order phase transition leads to the
emergence of a third family of compact stars besides white dwarfs and neutron
stars. The different microphysics of quark matter results in an enhanced r-mode
stability window for rotating compact stars compared to normal neutron stars.
Future telescope and satellite data will allow to extract signals from phase
transitions in dense matter in the heavens and will reveal properties of the
phases of dense QCD. Spectral line profiles out of x-ray bursts will determine
the mass-radius ratio of compact stars. Gravitational wave patterns from
collapsing neutron stars or neutron star mergers will even be able to constrain
the stiffness of the quark matter equation of state. Future astrophysical data
can therefore provide a crucial cross-check to the exploration of the QCD phase
diagram with the heavy-ion program of the CBM detector at the FAIR facility.
| astro-ph nucl-th | the modern phase diagram of strongly interacting matter reveals a rich structure at highdensities due to phase transitions related to the chiral symmetry of quantum chromodynamics qcd and the phenomenon of color superconductivity these exotic phases have significant impacts on highdensity astrophysics as the properties of neutron stars and the evolution of astrophysical systems as protoneutron stars corecollapse supernovae and neutron star mergers most recent pulsar mass measurements and constraints on neutron star radii are critically discussed astrophysical signals for exotic matter and phase transitions in highdensity matter proposed recently in the literature are outlined a strong first order phase transition leads to the emergence of a third family of compact stars besides white dwarfs and neutron stars the different microphysics of quark matter results in an enhanced rmode stability window for rotating compact stars compared to normal neutron stars future telescope and satellite data will allow to extract signals from phase transitions in dense matter in the heavens and will reveal properties of the phases of dense qcd spectral line profiles out of xray bursts will determine the massradius ratio of compact stars gravitational wave patterns from collapsing neutron stars or neutron star mergers will even be able to constrain the stiffness of the quark matter equation of state future astrophysical data can therefore provide a crucial crosscheck to the exploration of the qcd phase diagram with the heavyion program of the cbm detector at the fair facility | [['the', 'modern', 'phase', 'diagram', 'of', 'strongly', 'interacting', 'matter', 'reveals', 'a', 'rich', 'structure', 'at', 'highdensities', 'due', 'to', 'phase', 'transitions', 'related', 'to', 'the', 'chiral', 'symmetry', 'of', 'quantum', 'chromodynamics', 'qcd', 'and', 'the', 'phenomenon', 'of', 'color', 'superconductivity', 'these', 'exotic', 'phases', 'have', 'significant', 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709.1044 | Weak-field limit of conformal Weyl gravity | We study the weak-field limit of the conformal Weyl gravity suggested by
Mannheim as an alternative to Einstein's General Relativity modeling both dark
matter and dark energy. We solve the field equations of the theory in the
weak-field approximation for an arbitrary spherically symmetric static
distribution of matter in the physical gauge with constant scalar field.
Analysing the obtained solution, we conclude that the conformal theory of
gravitaty is inconsistent with the Solar-system observational data.
| astro-ph | we study the weakfield limit of the conformal weyl gravity suggested by mannheim as an alternative to einsteins general relativity modeling both dark matter and dark energy we solve the field equations of the theory in the weakfield approximation for an arbitrary spherically symmetric static distribution of matter in the physical gauge with constant scalar field analysing the obtained solution we conclude that the conformal theory of gravitaty is inconsistent with the solarsystem observational data | [['we', 'study', 'the', 'weakfield', 'limit', 'of', 'the', 'conformal', 'weyl', 'gravity', 'suggested', 'by', 'mannheim', 'as', 'an', 'alternative', 'to', 'einsteins', 'general', 'relativity', 'modeling', 'both', 'dark', 'matter', 'and', 'dark', 'energy', 'we', 'solve', 'the', 'field', 'equations', 'of', 'the', 'theory', 'in', 'the', 'weakfield', 'approximation', 'for', 'an', 'arbitrary', 'spherically', 'symmetric', 'static', 'distribution', 'of', 'matter', 'in', 'the', 'physical', 'gauge', 'with', 'constant', 'scalar', 'field', 'analysing', 'the', 'obtained', 'solution', 'we', 'conclude', 'that', 'the', 'conformal', 'theory', 'of', 'gravitaty', 'is', 'inconsistent', 'with', 'the', 'solarsystem', 'observational', 'data']] | [-0.1660243827862212, 0.09069781778482532, -0.1256050746447432, 0.12728116555120544, -0.122256043228648, -0.1342296747843156, -0.06043672412193406, 0.2720484414603561, -0.1823241383189688, -0.3187374515912017, 0.009842783952056355, -0.24149233742138823, -0.10694045969914343, 0.11452390319774733, -0.006877276687756987, 0.05679362248377623, -0.06501039214482582, 0.054614556906115566, -0.09547029896419042, -0.22527755440741376, 0.3693199112816286, 0.07248641802879, 0.2316295262245222, -0.00534069150484897, 0.09345335257396958, 0.005695833846599468, -0.047500571890457255, 0.06439773607495669, -0.16252692087250212, 0.07465881353395211, 0.20210702045241724, 0.1155113999454959, 0.1868262213931696, -0.45586981737633814, -0.26208063817859906, 0.08062312584622083, 0.10171183082275093, 0.17571784077036018, -0.11005886565465983, -0.35018263914546854, 0.040473737602902425, -0.17648657182281888, -0.217489234689384, -0.04994916476661692, 0.0013471482025862143, -0.047481354499059554, -0.22223545016871915, 0.10126095743396797, 0.0039876443396851015, -2.4619550016280767e-05, -0.16758821137262056, -0.07158712827839663, 0.012951466254889965, 0.008942218119832309, 0.15237638677117993, 0.03276129210732777, 0.11550703469814884, -0.1992097393345289, -0.0830475090361024, 0.44090650331329656, -0.17530859966535825, -0.222215121360244, 0.1028326488779606, -0.17258858915443556, -0.1279693347892749, 0.05724479827236988, 0.09823717536857805, 0.17316962684177467, -0.16122938490573419, 0.21623874349894026, -0.059844839556545425, 0.10234415510235154, 0.07218454730369754, -0.006385940437777774, 0.3218492318347499, 0.06887235410662519, 0.016065517075460504, 0.06777983501150801, -0.0405096509053397, -0.1509490128153482, -0.407166201419927, -0.15111159676736272, -0.13773612458435064, 0.08956174142155293, -0.19282759627861418, -0.17564044036348728, 0.3333264420413085, 0.13845310601007785, 0.074488593315756, 0.07419945907502158, 0.277875486031376, 0.12503414882844113, -0.011685405473218526, 0.08805276433987594, 0.3719650898632166, 0.2109925647492747, 0.10024897230008768, -0.2582941487293086, -0.09441884332084777, 0.04169357885178682] |
709.1045 | Rotational Modulation of M/L Dwarfs due to Magnetic Spots | We find periodic I-band variability in two ultracool dwarfs, TVLM 513-46546
and 2MASS J00361617+1821104, on either side of the M/L dwarf boundary. Both of
these targets are short-period radio transients, with the detected I-band
periods matching those found at radio wavelengths (P=1.96 hr for TVLM
513-46546, and P=3 hr for 2MASS J00361617+1821104). We attribute the detected
I-band periodicities to the periods of rotation of the dwarfs, supported by
radius estimates and measured $v$ sin $i$ values for the objects. Based on the
detected period of rotation of TVLM 513-46546 (M9) in the I-band, along with
confirmation of strong magnetic fields from recent radio observations, we argue
for magnetically induced spots as the cause of this periodic variability. The
I-band rotational modulation of L3.5 dwarf 2MASS J00361617+1821104 appeared to
vary in amplitude with time. We conclude that the most likely cause of the
I-band variability for this object is magnetic spots, possibly coupled with
time-evolving features such as dust clouds.
| astro-ph | we find periodic iband variability in two ultracool dwarfs tvlm 51346546 and 2mass j003616171821104 on either side of the ml dwarf boundary both of these targets are shortperiod radio transients with the detected iband periods matching those found at radio wavelengths p196 hr for tvlm 51346546 and p3 hr for 2mass j003616171821104 we attribute the detected iband periodicities to the periods of rotation of the dwarfs supported by radius estimates and measured v sin i values for the objects based on the detected period of rotation of tvlm 51346546 m9 in the iband along with confirmation of strong magnetic fields from recent radio observations we argue for magnetically induced spots as the cause of this periodic variability the iband rotational modulation of l35 dwarf 2mass j003616171821104 appeared to vary in amplitude with time we conclude that the most likely cause of the iband variability for this object is magnetic spots possibly coupled with timeevolving features such as dust clouds | [['we', 'find', 'periodic', 'iband', 'variability', 'in', 'two', 'ultracool', 'dwarfs', 'tvlm', '51346546', 'and', '2mass', 'j003616171821104', 'on', 'either', 'side', 'of', 'the', 'ml', 'dwarf', 'boundary', 'both', 'of', 'these', 'targets', 'are', 'shortperiod', 'radio', 'transients', 'with', 'the', 'detected', 'iband', 'periods', 'matching', 'those', 'found', 'at', 'radio', 'wavelengths', 'p196', 'hr', 'for', 'tvlm', '51346546', 'and', 'p3', 'hr', 'for', '2mass', 'j003616171821104', 'we', 'attribute', 'the', 'detected', 'iband', 'periodicities', 'to', 'the', 'periods', 'of', 'rotation', 'of', 'the', 'dwarfs', 'supported', 'by', 'radius', 'estimates', 'and', 'measured', 'v', 'sin', 'i', 'values', 'for', 'the', 'objects', 'based', 'on', 'the', 'detected', 'period', 'of', 'rotation', 'of', 'tvlm', '51346546', 'm9', 'in', 'the', 'iband', 'along', 'with', 'confirmation', 'of', 'strong', 'magnetic', 'fields', 'from', 'recent', 'radio', 'observations', 'we', 'argue', 'for', 'magnetically', 'induced', 'spots', 'as', 'the', 'cause', 'of', 'this', 'periodic', 'variability', 'the', 'iband', 'rotational', 'modulation', 'of', 'l35', 'dwarf', '2mass', 'j003616171821104', 'appeared', 'to', 'vary', 'in', 'amplitude', 'with', 'time', 'we', 'conclude', 'that', 'the', 'most', 'likely', 'cause', 'of', 'the', 'iband', 'variability', 'for', 'this', 'object', 'is', 'magnetic', 'spots', 'possibly', 'coupled', 'with', 'timeevolving', 'features', 'such', 'as', 'dust', 'clouds']] | [-0.14063845922038715, 0.12714154836780664, -0.05635568369887298, 0.07706267674029156, -0.15740018556059537, -0.10230024434667363, 0.07291869277169905, 0.46883820648646995, -0.1447048648680513, -0.3275115161403259, 0.10565299620406844, -0.3007663025102973, -0.08871591773732931, 0.24592319182768652, -0.11384133297560996, -0.03297933937878204, 0.09731729510181313, -0.07751928768533317, -0.040842179707258855, -0.2646174113342798, 0.24864220494239392, -0.039015505510040474, 0.10981202125844039, -0.10900665166540237, 0.01871638185391792, -0.07931871882852025, -0.11134423751216765, -0.05755597975435136, -0.1321189067228583, -0.002833503543080974, 0.22091547813844173, 0.061448490918728914, 0.12835159406796853, -0.3246048239731713, -0.21817340537658125, 0.058241659135828856, 0.15755468850094778, -0.011845374238217556, -0.01931265349163898, -0.31434327727213174, 0.10293581175818285, -0.12620753527890088, -0.18231536443875748, 0.08202268129591889, 0.16478801087499892, 0.07337877077722474, -0.2301458890278694, 0.13140403346196877, 0.04591640954781206, 0.22610049423042544, -0.21971449595316064, -0.13403941821189055, -0.0601999401483284, 0.05163209344469647, 0.05092680762533711, 0.11604567739119329, 0.08074478335572477, -0.09896725661981898, -0.0672942484505003, 0.35079030653674015, -0.14228771518491493, 0.05965773257591962, 0.22222742443179264, -0.17620333114084846, -0.17366605444775918, 0.13462453268179553, 0.1271073892182093, 0.1441606638151445, -0.13297497682403064, -0.034638848811125715, 0.008169031671036176, 0.23949398105386407, 0.09949104814153589, 0.10438487469218671, 0.3810416803094028, 0.06409601703996452, 0.023934222670873227, 0.06573573240341289, -0.39976996869066894, 0.031503080257768684, -0.19292791888023478, -0.03383181550351408, -0.11517451001077748, 0.06073070157767285, -0.10307507283804729, -0.1689355872170646, 0.37754156799762967, 0.11546828503178173, 0.1962173333821842, 0.04280767002204858, 0.2881790143496628, 0.08724876334212862, 0.12189512196134354, 0.1309487845577724, 0.33208319885491194, 0.16030739909597921, 0.0982780095272332, -0.2567277036952091, 0.05676913558705518, -0.0006727186389727212] |
709.1046 | Exploring the Physical Basis of Solar Cycle Predictions: Flux Transport
Dynamics and Persistence of Memory in Advection versus Diffusion Dominated
Solar Convection Zones | The predictability, or lack thereof, of the solar cycle is governed by
numerous separate physical processes that act in unison in the interior of the
Sun. Magnetic flux transport and the finite time delay it introduces,
specifically in the so-called Babcock-Leighton models of the solar cycle with
spatially segregated source regions for the alpha and omega effects, play a
crucial rule in this predictability. Through dynamo simulations with such a
model, we study the physical basis of solar cycle predictions by examining two
contrasting regimes, one dominated by diffusive magnetic flux transport in the
solar convection zone, the other dominated by advective flux transport by
meridional circulation. Our analysis shows that diffusion plays an important
role in flux transport, even when the solar cycle period is governed by the
meridional flow speed. We further examine the persistence of memory of past
cycles in the advection and diffusion dominated regimes through stochastically
forced dynamo simulations. We find that in the advection-dominated regime, this
memory persists for up to three cycles, whereas in the diffusion-dominated
regime, this memory persists for mainly one cycle. This indicates that solar
cycle predictions based on these two different regimes would have to rely on
fundamentally different inputs - which may be the cause of conflicting
predictions. Our simulations also show that the observed solar cycle
amplitude-period relationship arises more naturally in the diffusion dominated
regime, thereby supporting those dynamo models in which diffusive flux
transport plays a dominant role in the solar convection zone.
| astro-ph | the predictability or lack thereof of the solar cycle is governed by numerous separate physical processes that act in unison in the interior of the sun magnetic flux transport and the finite time delay it introduces specifically in the socalled babcockleighton models of the solar cycle with spatially segregated source regions for the alpha and omega effects play a crucial rule in this predictability through dynamo simulations with such a model we study the physical basis of solar cycle predictions by examining two contrasting regimes one dominated by diffusive magnetic flux transport in the solar convection zone the other dominated by advective flux transport by meridional circulation our analysis shows that diffusion plays an important role in flux transport even when the solar cycle period is governed by the meridional flow speed we further examine the persistence of memory of past cycles in the advection and diffusion dominated regimes through stochastically forced dynamo simulations we find that in the advectiondominated regime this memory persists for up to three cycles whereas in the diffusiondominated regime this memory persists for mainly one cycle this indicates that solar cycle predictions based on these two different regimes would have to rely on fundamentally different inputs which may be the cause of conflicting predictions our simulations also show that the observed solar cycle amplitudeperiod relationship arises more naturally in the diffusion dominated regime thereby supporting those dynamo models in which diffusive flux transport plays a dominant role in the solar convection zone | [['the', 'predictability', 'or', 'lack', 'thereof', 'of', 'the', 'solar', 'cycle', 'is', 'governed', 'by', 'numerous', 'separate', 'physical', 'processes', 'that', 'act', 'in', 'unison', 'in', 'the', 'interior', 'of', 'the', 'sun', 'magnetic', 'flux', 'transport', 'and', 'the', 'finite', 'time', 'delay', 'it', 'introduces', 'specifically', 'in', 'the', 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709.1047 | A Dirac type result on Hamilton cycles in oriented graphs | We show that for each \alpha>0 every sufficiently large oriented graph G with
\delta^+(G),\delta^-(G)\ge 3|G|/8+ \alpha |G| contains a Hamilton cycle. This
gives an approximate solution to a problem of Thomassen. In fact, we prove the
stronger result that G is still Hamiltonian if
\delta(G)+\delta^+(G)+\delta^-(G)\geq 3|G|/2 + \alpha |G|. Up to the term
\alpha |G| this confirms a conjecture of H\"aggkvist. We also prove an Ore-type
theorem for oriented graphs.
| math.CO | we show that for each alpha0 every sufficiently large oriented graph g with deltagdeltagge 3g8 alpha g contains a hamilton cycle this gives an approximate solution to a problem of thomassen in fact we prove the stronger result that g is still hamiltonian if deltagdeltagdeltaggeq 3g2 alpha g up to the term alpha g this confirms a conjecture of haggkvist we also prove an oretype theorem for oriented graphs | [['we', 'show', 'that', 'for', 'each', 'alpha0', 'every', 'sufficiently', 'large', 'oriented', 'graph', 'g', 'with', 'deltagdeltagge', '3g8', 'alpha', 'g', 'contains', 'a', 'hamilton', 'cycle', 'this', 'gives', 'an', 'approximate', 'solution', 'to', 'a', 'problem', 'of', 'thomassen', 'in', 'fact', 'we', 'prove', 'the', 'stronger', 'result', 'that', 'g', 'is', 'still', 'hamiltonian', 'if', 'deltagdeltagdeltaggeq', '3g2', 'alpha', 'g', 'up', 'to', 'the', 'term', 'alpha', 'g', 'this', 'confirms', 'a', 'conjecture', 'of', 'haggkvist', 'we', 'also', 'prove', 'an', 'oretype', 'theorem', 'for', 'oriented', 'graphs']] | [-0.24718577380884776, 0.10815549698952853, -0.08046809737711694, 0.027654634582259776, -0.08283867801285603, -0.1563101754679034, 0.016720428314963072, 0.3892197293709173, -0.2707224400206046, -0.29303779580037703, 0.023572291076451427, -0.27615191044187115, -0.167267918304512, 0.16062400219115344, -0.136120139663531, -0.06662220224230127, 0.15837845330437025, 0.10957246513642145, 0.039604008846888035, -0.25729489588455623, 0.2573816179664749, -0.07775052845703834, 0.13110541913545493, 0.12861927267107548, 0.10685689622451636, 0.02750834454358979, 0.05959100644527511, 0.05834858049462183, -0.227921435077874, 0.07529562943399827, 0.23483575588430872, 0.10713006010645944, 0.2821020580348418, -0.3136716425523804, -0.15228948118800129, 0.18949824021988068, 0.08014528087876512, 0.04830974402527014, -0.002291131235489791, -0.2061220406921524, 0.1887597243132239, -0.12404203327429114, -0.20957160156897522, 0.006988037236486421, 0.17774694621788734, -0.05385837970640172, -0.3180924900666331, -0.0007012868974760005, 0.19723484837308977, 0.011167603135673386, 0.019324532724126722, -0.12261181867286337, -0.04302347366077205, 0.08875182377541381, -0.004421863877778929, 0.14837166819030023, -0.022840325552158793, -0.07933883269089909, -0.10330892182096388, 0.3657533257748141, -0.11914583458212402, -0.13282788307829338, 0.05360091316767714, -0.14472063656219028, -0.290854046304682, 0.11615043848922307, 0.03398452706239892, 0.19764442544317606, -0.039423611921709824, 0.18330306410225053, -0.16983628940458098, 0.1674301645746737, 0.09653879764179389, -0.07717196427455003, 0.08153408500507023, 0.08622533465721503, 0.23870172034102408, 0.18011059070880892, 0.04501128119106094, 0.10966794591425269, -0.32686118504992034, -0.1360596014454848, -0.21135197900531982, 0.1791667115987476, -0.18598080540753223, -0.2044192278531916, 0.3239707623918851, 0.10469626007728618, 0.14294879773771038, 0.15799753648708714, 0.17361773412223114, 0.12710585826161233, 0.004195301887000714, 0.21007364648958723, 0.16047133844007144, 0.2172735587263367, -0.020199803029589184, -0.14121681084912835, 0.010695736668298416, 0.17760427887410377] |
709.1048 | Generalized squeezing operators, bipartite Wigner functions and
entanglement via Wehrl's entropy functionals | We introduce a new class of unitary transformations based on the su(1,1) Lie
algebra that generalizes, for certain particular representations of its
generators, well-known squeezing transformations in quantum optics. To
illustrate our results, we focus on the two-mode bosonic representation and
show how the parametric amplifier model can be modified in order to generate
such a generalized squeezing operator. Furthermore, we obtain a general
expression for the bipartite Wigner function which allows us to identify two
distinct sources of entanglement, here labelled by dynamical and kinematical
entanglement. We also establish a quantitative estimate of entanglement for
bipartite systems through some basic definitions of entropy functionals in
continuous phase-space representations.
| quant-ph | we introduce a new class of unitary transformations based on the su11 lie algebra that generalizes for certain particular representations of its generators wellknown squeezing transformations in quantum optics to illustrate our results we focus on the twomode bosonic representation and show how the parametric amplifier model can be modified in order to generate such a generalized squeezing operator furthermore we obtain a general expression for the bipartite wigner function which allows us to identify two distinct sources of entanglement here labelled by dynamical and kinematical entanglement we also establish a quantitative estimate of entanglement for bipartite systems through some basic definitions of entropy functionals in continuous phasespace representations | [['we', 'introduce', 'a', 'new', 'class', 'of', 'unitary', 'transformations', 'based', 'on', 'the', 'su11', 'lie', 'algebra', 'that', 'generalizes', 'for', 'certain', 'particular', 'representations', 'of', 'its', 'generators', 'wellknown', 'squeezing', 'transformations', 'in', 'quantum', 'optics', 'to', 'illustrate', 'our', 'results', 'we', 'focus', 'on', 'the', 'twomode', 'bosonic', 'representation', 'and', 'show', 'how', 'the', 'parametric', 'amplifier', 'model', 'can', 'be', 'modified', 'in', 'order', 'to', 'generate', 'such', 'a', 'generalized', 'squeezing', 'operator', 'furthermore', 'we', 'obtain', 'a', 'general', 'expression', 'for', 'the', 'bipartite', 'wigner', 'function', 'which', 'allows', 'us', 'to', 'identify', 'two', 'distinct', 'sources', 'of', 'entanglement', 'here', 'labelled', 'by', 'dynamical', 'and', 'kinematical', 'entanglement', 'we', 'also', 'establish', 'a', 'quantitative', 'estimate', 'of', 'entanglement', 'for', 'bipartite', 'systems', 'through', 'some', 'basic', 'definitions', 'of', 'entropy', 'functionals', 'in', 'continuous', 'phasespace', 'representations']] | [-0.0821376345419419, 0.15024226437826907, -0.126388278779939, 0.08323589256118744, -0.06848167920583398, -0.14811781603402946, 0.02511244131585395, 0.3606044962968028, -0.26315974014802673, -0.21410374877624078, 0.049713130150665315, -0.24319992704253426, -0.20145805273044837, 0.22617033965364441, -0.08913153021622004, 0.10044919531055461, 0.04027446822493995, 0.07329233029190826, -0.1313576573279575, -0.21972619210916716, 0.3700841080670783, -0.027406915084569963, 0.2807455349760557, 0.020066446334191964, 0.1560169489362166, 0.03716360572554649, -0.0012785506075880396, -0.03673323515563383, -0.15863748663992872, 0.1318663586221567, 0.26524022428335947, 0.14061700216058745, 0.21778776762801982, -0.3808944780259914, -0.19660436594431555, 0.1381653509777757, 0.10709737274750913, 0.159050378980224, -0.012363668165913005, -0.3114817832519702, -0.00817699668023291, -0.22721648162205216, -0.11650049731075558, -0.18807719843547552, -0.023979342491323247, -0.0009704537122561639, -0.280310358674855, 0.06991645275725163, 0.08328588994581962, 0.05613444282442605, -0.027063648863118826, -0.022665164453712285, -0.009087203299079876, 0.08245060744977326, -0.08808046573914007, -0.04044908196280856, 0.10331152890351764, -0.11449609651740794, -0.169608506510769, 0.3426006336631296, -0.04376368321170774, -0.2548511767025114, 0.17240000829109153, -0.14916933493671614, -0.19009933707842586, 0.008841672583286641, 0.16846721251965116, 0.09963910301309933, -0.15455834682894135, 0.07467996178156432, -0.06988753667186706, 0.1401268897039833, 0.08097683416183936, 0.12499134602514309, 0.14675992172971847, 0.06476572140786421, 0.07469737254202775, 0.2616409321044307, -0.013145631491078422, -0.13556700140032746, -0.3586831030151764, -0.18372051099127312, -0.18256759454299687, 0.07645016119157502, -0.12649155267564485, -0.15291958757187027, 0.4566613412504896, 0.17610532579806829, 0.16295596450533067, 0.07452677056906797, 0.22338619659048156, 0.16227554320250936, 0.06802107268141223, 0.036149938718988264, 0.1896764112846315, 0.19409603527704372, -0.006402445995513726, -0.2127233617554564, -0.025926912850657596, 0.11835220021648554] |
709.1049 | Introduction to Tropical Geometry (notes from the IMPA lectures in
Summer 2007) | These condensed notes treat some basic notions in Tropical Geometry
(varieties, cycles, modifications, equivalence). These topics are to be
extended, illustrated and included to the upcoming book project
http://www.math.toronto.edu/mikha/book.pdf .
| math.AG math.GT | these condensed notes treat some basic notions in tropical geometry varieties cycles modifications equivalence these topics are to be extended illustrated and included to the upcoming book project httpwwwmathtorontoedumikhabookpdf | [['these', 'condensed', 'notes', 'treat', 'some', 'basic', 'notions', 'in', 'tropical', 'geometry', 'varieties', 'cycles', 'modifications', 'equivalence', 'these', 'topics', 'are', 'to', 'be', 'extended', 'illustrated', 'and', 'included', 'to', 'the', 'upcoming', 'book', 'project', 'httpwwwmathtorontoedumikhabookpdf']] | [-0.09128505317494273, 0.1281175838251199, -0.06618895958776452, 0.2567907876800746, -0.12280136067420244, -0.16057986812666059, -0.06774265292499747, 0.30698870015995844, -0.34322599042207, -0.29406753794423174, 0.19510262785063656, -0.2888072302032794, -0.1716787540374623, 0.19848226609506778, -0.19433253910392523, -0.04635194898582995, 0.07003685336426965, -0.07273182856650758, -0.08447699877433479, -0.40256183774077464, 0.3336283981334418, 0.046548185870051384, 0.19037331680634192, 0.08295530892376389, -0.0058899103538091625, -0.03850153333041817, -0.16543594065920583, 0.0613425417936274, -0.17624105363419013, 0.15440374476435995, 0.5099841954984835, 0.1730012175893145, 0.18496316416920827, -0.49628991540521383, -0.16997657865951105, 0.08024551538151822, 0.04328027056596641, 0.06225299140351126, 0.05635941876763744, -0.3071900053265771, -0.012682145919825416, -0.1649096967386348, -0.2225894730737699, -0.11140825907101057, 0.0022362576564773917, 0.09146385679819755, -0.056491965361471684, -0.0842378148143845, 0.07113631475450737, 0.17490587982216052, 0.01144077377726457, -0.16476188955961593, 0.00901276318888579, 0.07071253279822745, 0.00801351832758103, -0.012521549643549536, 0.16559424703674658, -0.07200154246363256, -0.16263786483822124, 0.392931770067662, 0.013154333157997047, -0.14975829422473907, 0.15410649245937488, -0.08919552921517086, -0.22971373954455235, 0.06570837294150676, 0.20499794198466198, 0.07211579635207142, -0.13685665372759104, 0.06401801499928947, -0.029478660184395267, 0.06423713353329472, 0.12285105839172113, 0.008204567512231213, 0.2457949796059568, 0.08553951905508127, -0.05804832695451166, 0.11168270018866419, 0.08615338802337646, -0.19126747867890767, -0.3944560047239065, -0.09213952609986466, -0.021776685158589056, 0.04273431980982423, -0.00752371860549569, -0.12402561945574624, 0.37374116387218237, 0.19256425529186214, 0.09351948755128044, -0.043055488960817456, 0.22411707617408996, -0.005440974416809955, 0.004777709288256509, -0.006935573183000088, 0.16808968362186402, 0.2757456989825836, 0.0618781261811299, -0.03610719391144812, -0.056652302687455504, 0.1679355801814901] |
709.105 | A template bank to search for gravitational waves from inspiralling
compact binaries: II. Phenomenological model | Matched filtering is used to search for gravitational waves emitted by
inspiralling compact binaries in data from ground-based interferometers. One of
the key aspects of the detection process is the deployment of a set of
templates, also called a template bank, to cover the astrophysically
interesting region of the parameter space. In a companion paper, we described
the template-bank algorithm used in the analysis of LIGO data to search for
signals from non-spinning binaries made of neutron star and/or stellar-mass
black holes; this template bank is based upon physical template families. In
this paper, we describe the phenomenological template bank that was used to
search for gravitational waves from non-spinning black hole binaries (from
stellar mass formation) in the second, third and fourth LIGO science runs. We
briefly explain the design of the bank, whose templates are based on a
phenomenological detection template family. We show that this template bank
gives matches greater than 95% with the physical template families that are
expected to be captured by the phenomenological templates.
| gr-qc | matched filtering is used to search for gravitational waves emitted by inspiralling compact binaries in data from groundbased interferometers one of the key aspects of the detection process is the deployment of a set of templates also called a template bank to cover the astrophysically interesting region of the parameter space in a companion paper we described the templatebank algorithm used in the analysis of ligo data to search for signals from nonspinning binaries made of neutron star andor stellarmass black holes this template bank is based upon physical template families in this paper we describe the phenomenological template bank that was used to search for gravitational waves from nonspinning black hole binaries from stellar mass formation in the second third and fourth ligo science runs we briefly explain the design of the bank whose templates are based on a phenomenological detection template family we show that this template bank gives matches greater than 95 with the physical template families that are expected to be captured by the phenomenological templates | [['matched', 'filtering', 'is', 'used', 'to', 'search', 'for', 'gravitational', 'waves', 'emitted', 'by', 'inspiralling', 'compact', 'binaries', 'in', 'data', 'from', 'groundbased', 'interferometers', 'one', 'of', 'the', 'key', 'aspects', 'of', 'the', 'detection', 'process', 'is', 'the', 'deployment', 'of', 'a', 'set', 'of', 'templates', 'also', 'called', 'a', 'template', 'bank', 'to', 'cover', 'the', 'astrophysically', 'interesting', 'region', 'of', 'the', 'parameter', 'space', 'in', 'a', 'companion', 'paper', 'we', 'described', 'the', 'templatebank', 'algorithm', 'used', 'in', 'the', 'analysis', 'of', 'ligo', 'data', 'to', 'search', 'for', 'signals', 'from', 'nonspinning', 'binaries', 'made', 'of', 'neutron', 'star', 'andor', 'stellarmass', 'black', 'holes', 'this', 'template', 'bank', 'is', 'based', 'upon', 'physical', 'template', 'families', 'in', 'this', 'paper', 'we', 'describe', 'the', 'phenomenological', 'template', 'bank', 'that', 'was', 'used', 'to', 'search', 'for', 'gravitational', 'waves', 'from', 'nonspinning', 'black', 'hole', 'binaries', 'from', 'stellar', 'mass', 'formation', 'in', 'the', 'second', 'third', 'and', 'fourth', 'ligo', 'science', 'runs', 'we', 'briefly', 'explain', 'the', 'design', 'of', 'the', 'bank', 'whose', 'templates', 'are', 'based', 'on', 'a', 'phenomenological', 'detection', 'template', 'family', 'we', 'show', 'that', 'this', 'template', 'bank', 'gives', 'matches', 'greater', 'than', '95', 'with', 'the', 'physical', 'template', 'families', 'that', 'are', 'expected', 'to', 'be', 'captured', 'by', 'the', 'phenomenological', 'templates']] | [-0.10088689482258358, 0.03132886389827014, -0.06653133045727684, 0.11193587221902908, -0.1326428230565328, -0.07343592894636922, 0.045721870005962895, 0.35523349339329807, -0.1505942646380977, -0.34644600337911285, 0.09709257788655827, -0.3012116069701561, -0.11795975824476347, 0.2620227384345176, -0.040131731255196264, 0.05092173984436836, 0.0807819461571218, -0.04539590040166702, -0.04229928050658627, -0.181433857204365, 0.3424493720446377, 0.11711485401765835, 0.17141646117842674, -0.08579092628746872, 0.06438909664325769, 0.007797219687191075, -0.08918751683637235, -0.06542089200987117, -0.1552647222749205, 0.09299946538056936, 0.30247269822670336, 0.21105604062198535, 0.17079883074035218, -0.3638380642032482, -0.20033602552080648, 0.08438052651444836, 0.10589203379838866, 0.154333507052496, -0.09965434835565183, -0.2981256182276583, 0.08055226716554596, -0.2641148509446686, -0.12160941271508145, 0.01412748467706188, 0.05074143892473723, 0.04323739012339588, -0.24565958896288154, 0.028722145573818813, 0.042539511250673664, -0.07840762538119005, -0.08800456335026903, -0.09824924422538228, -0.050523195543860984, 0.06905329186116627, 0.031084710925324274, 0.05177588807970021, 0.16373311094223306, -0.06410358561142265, -0.12633816391152478, 0.37800129451864733, -0.09544941862211935, -0.15317917683784513, 0.16769676994444174, -0.17526108637650514, -0.18913631643769305, 0.148247990915662, 0.2398718206553593, 0.16629609908666132, -0.20440223608055763, 0.025703855070739107, 0.04833999645383753, 0.2515496356445833, 0.12105891820781771, 0.02731407042207009, 0.3625284102276938, 0.20109400709198247, 0.0030715825537649486, 0.17105890370109092, -0.16670860322991374, -0.022618435088341184, -0.26614792194557046, -0.06281037123587269, -0.2052066253550549, 0.033829595345987236, -0.12115102114571609, -0.15835696015749456, 0.389576508644307, 0.14378480355878023, 0.15901469668241205, 0.0391199989189234, 0.2937546817338228, 0.06283765891231059, 0.08747011084748796, 0.04078001238904431, 0.3246746459347609, 0.048600457418577735, 0.06277318226900944, -0.14419580782373084, 0.04000585790125642, 0.054730020037758544] |
709.1051 | Disproof of modularity of moduli space of CY 3-folds of double covers of
P3 ramified along eight planes in general positions | We prove that the moduli space of Calabi-Yau 3-folds coming from eight planes
of $P^3$ in general positions is not modular. In fact we show the stronger
statement that the Zariski closure of the monodromy group is actually the whole
$Sp(20,R)$. We construct an interesting submoduli, which we call
\emph{hyperelliptic locus}, over which the weight 3 $Q$-Hodge structure is the
third wedge product of the weight 1 $Q$-Hodge structure on the corresponding
hyperelliptic curve. The non-extendibility of the hyperelliptic locus inside
the moduli space of a genuine Shimura subvariety is proved.
| math.AG | we prove that the moduli space of calabiyau 3folds coming from eight planes of p3 in general positions is not modular in fact we show the stronger statement that the zariski closure of the monodromy group is actually the whole sp20r we construct an interesting submoduli which we call emphhyperelliptic locus over which the weight 3 qhodge structure is the third wedge product of the weight 1 qhodge structure on the corresponding hyperelliptic curve the nonextendibility of the hyperelliptic locus inside the moduli space of a genuine shimura subvariety is proved | [['we', 'prove', 'that', 'the', 'moduli', 'space', 'of', 'calabiyau', '3folds', 'coming', 'from', 'eight', 'planes', 'of', 'p3', 'in', 'general', 'positions', 'is', 'not', 'modular', 'in', 'fact', 'we', 'show', 'the', 'stronger', 'statement', 'that', 'the', 'zariski', 'closure', 'of', 'the', 'monodromy', 'group', 'is', 'actually', 'the', 'whole', 'sp20r', 'we', 'construct', 'an', 'interesting', 'submoduli', 'which', 'we', 'call', 'emphhyperelliptic', 'locus', 'over', 'which', 'the', 'weight', '3', 'qhodge', 'structure', 'is', 'the', 'third', 'wedge', 'product', 'of', 'the', 'weight', '1', 'qhodge', 'structure', 'on', 'the', 'corresponding', 'hyperelliptic', 'curve', 'the', 'nonextendibility', 'of', 'the', 'hyperelliptic', 'locus', 'inside', 'the', 'moduli', 'space', 'of', 'a', 'genuine', 'shimura', 'subvariety', 'is', 'proved']] | [-0.2369826352329586, 0.03728703524277741, -0.13548021533113735, 0.08999461204935373, -0.10365655153079635, -0.09560827932992569, 0.0038009384562346068, 0.30652294533369556, -0.3384276249403642, -0.16897637011821975, 0.08385416311053136, -0.22678492282284424, -0.17428296226584775, 0.22299651444402777, -0.1628512145782059, -0.05841348959471692, 0.035012190806975756, 0.09859293669102374, -0.12303623992589895, -0.3570231139839796, 0.484918504784053, -0.06537879462650215, 0.23855616131120108, 0.02234984857072546, 0.08421097963053564, 0.018288670607779004, 0.029421302225356074, -0.07011171707827915, -0.13253952862925705, 0.15541616613997825, 0.2795528149316934, 0.09452753339230019, 0.13106015748979355, -0.34379341712073336, -0.13335498110179536, 0.23429133762097495, 0.12843928719997744, 0.02801957082754763, 0.051661354501530615, -0.21838343042393468, 0.07064485619775951, -0.13403183213350447, -0.22875801100268622, -0.0584313912126659, 0.05736213618762453, -0.0039041421418501573, -0.15621389537673994, -0.029814720799384468, 0.0687107720666311, 0.12919128819538112, -0.07459552901458334, -0.10999726036177228, -0.13157724381149324, 0.04273138077273457, -0.012501954376189546, 0.08109152236614715, 0.08410653822251003, -0.12663374218391255, -0.04096147246574136, 0.3621843512572179, -0.04484198126010597, -0.17083091420036825, 0.06471723807044327, -0.19429447435223582, -0.18316793783610177, 0.18691941649145025, 0.06036907493729483, 0.15706699753222478, -0.013318194630714557, 0.17872130637459288, -0.15261350967921317, 0.12749110072830014, 0.09762000450229441, -0.05681019880880327, 0.14069896984570238, 0.1026575741442767, 0.0829140822911127, 0.1297944238811562, -0.08706659322276457, -0.052417902085422116, -0.4083217737180265, -0.21828905776386487, -0.10541817632225109, 0.1409882640663537, -0.1284645519071174, -0.17061004499820145, 0.4103342539271001, 0.025620059216056357, 0.21807404699310692, 0.08561979792218401, 0.1913259131833911, 0.03109473674505187, 0.07782098495359109, 0.07632857091216878, 0.18758819346443156, 0.14260106218386104, -0.06161744493742431, -0.13141252597084863, -0.018690039627968377, 0.19582480573180047] |
709.1052 | Possibility of a modification of life time of radioactive elements by
magnetic monopoles | A simple explanation of the fact that light magnetic monopoles have not been
observed at accelerator experiments is given. It is based on a possibility of
violation of C invariance in the electromagnetic interactions. Because of the
difficulty of monopole registration, two interconnected problems arise: to
formulate a theory describing monopole production (it should include a new
force beyond the Standard Model of electroweak interaction), and to point the
way to monopole observation. We consider a possibility, closely related to some
experiments, of a modification of life time of radioactive elements by magnetic
monopoles. The first part of the article is devoted to purely electromagnetic
impact of monopoles, caused by the vertex M --> M + gamma. The second part,
more speculative one, is based on experimental evidences in favour of the
existence of some axial vector currents, responsible for a new force, which can
stimulate, or suppress, decays of radioactive elements.
| hep-ph | a simple explanation of the fact that light magnetic monopoles have not been observed at accelerator experiments is given it is based on a possibility of violation of c invariance in the electromagnetic interactions because of the difficulty of monopole registration two interconnected problems arise to formulate a theory describing monopole production it should include a new force beyond the standard model of electroweak interaction and to point the way to monopole observation we consider a possibility closely related to some experiments of a modification of life time of radioactive elements by magnetic monopoles the first part of the article is devoted to purely electromagnetic impact of monopoles caused by the vertex m m gamma the second part more speculative one is based on experimental evidences in favour of the existence of some axial vector currents responsible for a new force which can stimulate or suppress decays of radioactive elements | [['a', 'simple', 'explanation', 'of', 'the', 'fact', 'that', 'light', 'magnetic', 'monopoles', 'have', 'not', 'been', 'observed', 'at', 'accelerator', 'experiments', 'is', 'given', 'it', 'is', 'based', 'on', 'a', 'possibility', 'of', 'violation', 'of', 'c', 'invariance', 'in', 'the', 'electromagnetic', 'interactions', 'because', 'of', 'the', 'difficulty', 'of', 'monopole', 'registration', 'two', 'interconnected', 'problems', 'arise', 'to', 'formulate', 'a', 'theory', 'describing', 'monopole', 'production', 'it', 'should', 'include', 'a', 'new', 'force', 'beyond', 'the', 'standard', 'model', 'of', 'electroweak', 'interaction', 'and', 'to', 'point', 'the', 'way', 'to', 'monopole', 'observation', 'we', 'consider', 'a', 'possibility', 'closely', 'related', 'to', 'some', 'experiments', 'of', 'a', 'modification', 'of', 'life', 'time', 'of', 'radioactive', 'elements', 'by', 'magnetic', 'monopoles', 'the', 'first', 'part', 'of', 'the', 'article', 'is', 'devoted', 'to', 'purely', 'electromagnetic', 'impact', 'of', 'monopoles', 'caused', 'by', 'the', 'vertex', 'm', 'm', 'gamma', 'the', 'second', 'part', 'more', 'speculative', 'one', 'is', 'based', 'on', 'experimental', 'evidences', 'in', 'favour', 'of', 'the', 'existence', 'of', 'some', 'axial', 'vector', 'currents', 'responsible', 'for', 'a', 'new', 'force', 'which', 'can', 'stimulate', 'or', 'suppress', 'decays', 'of', 'radioactive', 'elements']] | [-0.14985046393315618, 0.17536906921925643, -0.06474230419951103, 0.09098889836265395, -0.11813253947844107, -0.10712967969787618, 0.03733913821633905, 0.31188428808624546, -0.2352402702718973, -0.29502222714014353, 0.05555880261119455, -0.2789390516777833, -0.13889526998779425, 0.18182237213477492, 0.007788729202002287, 0.020684187691658737, 0.020514680693546932, 0.06216958504791061, -0.03449483030708507, -0.1900141276496773, 0.3405676789729235, 0.060547565019999944, 0.24822014093088607, 0.10604756776476279, 0.0699799674625198, -0.035971646346151825, -0.03540221139284161, 0.01886181072254355, -0.06227292819748982, 0.11769878348956506, 0.1673610915868388, 0.09220225491638606, 0.2375708673708141, -0.465774608651797, -0.19368474207197625, 0.14241809239300587, 0.11637827317540844, 0.10815617203324412, -0.10120697930503714, -0.28391931564236683, 0.08163937233233204, -0.14703613782611985, -0.16806928907210628, -0.06657101597481718, 0.025911134714260698, -0.0008201716654002666, -0.2714003321528435, 0.04966346381232142, 0.06581477138582462, 0.04199350983583523, -0.05929783882728468, -0.10265974118684729, 0.027196456640958787, 0.07315577745903283, 0.12275155037137059, 0.04790331449204435, 0.1552863589550058, -0.145646006683819, -0.14311073147381345, 0.4212636970418195, -0.051483576470054686, -0.16097456424186626, 0.15947893294505774, -0.1465116407411794, -0.1375130355109771, 0.15224036869592963, 0.16572124894165124, 0.10747951407451183, -0.15643460294852654, 0.08560875995045839, -0.02333445996666948, 0.131414954761082, 0.04123601326408485, 0.024845144851133226, 0.2749809095946451, 0.18371209566791852, 0.04692391796192775, 0.10951095848654707, -0.0680021305475384, -0.05433907307645616, -0.37014707538609704, -0.15098655846202746, -0.15869625471532345, 0.06012945935295041, 0.0021329370749299413, -0.15330277482979, 0.38043555841160315, 0.1353668746755769, 0.1991475610435009, -0.049674033673945815, 0.2796669217136999, 0.06493242408459385, 0.09505122010052824, 0.0059079569640258945, 0.29004398253009034, 0.15632188432229063, 0.11161285565855603, -0.23288863779530705, 0.031593849072232845, 0.09210659331952532] |
709.1053 | Exact Solutions of the Equations of Relativistic Hydrodynamics
Representing Potential Flows | We use a connection between relativistic hydrodynamics and scalar field
theory to generate exact analytic solutions describing non-stationary
inhomogeneous flows of the perfect fluid with one-parametric equation of state
(EOS) $p = p(\epsilon)$. For linear EOS $p = \kappa \epsilon$ we obtain
self-similar solutions in the case of plane, cylindrical and spherical
symmetries. In the case of extremely stiff EOS ($\kappa=1$) we obtain
''monopole + dipole'' and ''monopole + quadrupole'' axially symmetric
solutions. We also found some nonlinear EOSs that admit analytic solutions.
| math-ph astro-ph math.MP nucl-th | we use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing nonstationary inhomogeneous flows of the perfect fluid with oneparametric equation of state eos p pepsilon for linear eos p kappa epsilon we obtain selfsimilar solutions in the case of plane cylindrical and spherical symmetries in the case of extremely stiff eos kappa1 we obtain monopole dipole and monopole quadrupole axially symmetric solutions we also found some nonlinear eoss that admit analytic solutions | [['we', 'use', 'a', 'connection', 'between', 'relativistic', 'hydrodynamics', 'and', 'scalar', 'field', 'theory', 'to', 'generate', 'exact', 'analytic', 'solutions', 'describing', 'nonstationary', 'inhomogeneous', 'flows', 'of', 'the', 'perfect', 'fluid', 'with', 'oneparametric', 'equation', 'of', 'state', 'eos', 'p', 'pepsilon', 'for', 'linear', 'eos', 'p', 'kappa', 'epsilon', 'we', 'obtain', 'selfsimilar', 'solutions', 'in', 'the', 'case', 'of', 'plane', 'cylindrical', 'and', 'spherical', 'symmetries', 'in', 'the', 'case', 'of', 'extremely', 'stiff', 'eos', 'kappa1', 'we', 'obtain', 'monopole', 'dipole', 'and', 'monopole', 'quadrupole', 'axially', 'symmetric', 'solutions', 'we', 'also', 'found', 'some', 'nonlinear', 'eoss', 'that', 'admit', 'analytic', 'solutions']] | [-0.18906551730948723, 0.1077972542276441, -0.12292337768911561, 0.10775407299081076, -0.15052416064788268, -0.18166900590604432, -0.06962906389609215, 0.3149371132301756, -0.16577920344764296, -0.24825142995937716, 0.019881989697843223, -0.2621768148545223, -0.0953076053970741, 0.12932449049033412, 0.08224701965625598, 0.08781243746958767, 0.013545504429295092, 0.048515922475394005, -0.12223652331600603, -0.14237264819631848, 0.35939663604397, -0.05428270623087883, 0.22075441807414156, -0.051175246227391155, 0.09479543290622651, -0.06711509938740844, 0.04183061453336968, 0.057508882854275314, -0.29056631798807697, 0.01310828071724199, 0.2658155133263974, 0.035483194161442265, 0.11388368048937991, -0.44715681314892786, -0.20960491835552303, 0.12543140474082076, 0.12412689375702905, 0.18217611862818087, -0.08136946798738422, -0.24308765629495058, 0.055841441289816475, -0.24045110715529586, -0.2770480024923064, -0.15606638156113367, 0.09500082449757648, 0.08624107213440363, -0.28773896607181315, 0.17675990582689866, 0.09058885596091329, -0.035526778536061815, -0.20617492669674603, -0.1287989761220598, -0.0183599755305007, -0.03683552413565826, 0.07761739696600015, 0.014883079589639284, 0.03938221467564566, -0.18181500020009594, -0.022740509150302204, 0.3909516173379519, -0.08597176625758787, -0.29232949871994274, 0.11797023271033659, -0.1474715494609709, -0.10084363962877306, 0.15393860868025053, 0.15750025861153874, 0.18136360854664935, -0.06520081704034458, 0.17841809520960633, -0.05006400098481888, 0.16584848803969077, 0.15099664058394824, -0.06644573496489585, 0.17787332065356307, 0.07763291299018915, 0.04201022621621437, 0.13944376975038572, -0.0012900868807978268, -0.16133558790087463, -0.35573183018949966, -0.08086926797611191, -0.10204628702471198, 0.11761326570346763, -0.17217910383430846, -0.2486626905731008, 0.2996064492772463, 0.04161379462744616, 0.07462115127216035, 0.017026997112397906, 0.21677291348482233, 0.11155903673011668, -0.11697862554294398, 0.15300432775358233, 0.24910584372310615, 0.25249197645277915, 0.11281174311673717, -0.23901479688909236, -0.09274235686075084, 0.13421029480810784] |
709.1054 | Computational details on the disproof of modularity | The purpose of these notes is to provide the details of the Jacobian ring
computations carried out in [1], based on the computer algebra system Magma
[2].
| math.AG | the purpose of these notes is to provide the details of the jacobian ring computations carried out in 1 based on the computer algebra system magma 2 | [['the', 'purpose', 'of', 'these', 'notes', 'is', 'to', 'provide', 'the', 'details', 'of', 'the', 'jacobian', 'ring', 'computations', 'carried', 'out', 'in', '1', 'based', 'on', 'the', 'computer', 'algebra', 'system', 'magma', '2']] | [-0.16066817173527348, -0.03101999878331467, -0.12679975169400373, 0.00584232443684919, -0.034942390776618766, -0.11820436142065942, -0.04477400315442571, 0.30187384549666335, -0.28950753614858343, -0.2551848143339157, 0.23223546983380974, -0.19652693472043783, -0.14143435670821755, 0.23896497826057453, -0.04992302024254092, 0.013385192525607569, 0.09791927018927203, 0.05729867349038142, -0.1053171092989268, -0.34725958902250836, 0.3508819766618587, 0.13544295355677605, 0.1856347214154623, 0.0696421925202702, 0.08784357075475985, -0.031478436206708905, -0.10866776715826106, -0.07669755464626683, -0.15806436649075262, 0.12137241647320075, 0.2809156883094046, 0.1210550001339504, 0.23564984470053954, -0.5363855641335249, -0.042070563330694484, 0.03683056954846338, 0.12853409791434253, 0.044446003036918466, -0.0077248410433875744, -0.2068087689888974, 0.12366399588063359, -0.2099812470238518, -0.10599398178358872, -0.07657272423858996, 0.05793455598392972, 0.009846234770487138, -0.1756621899980086, -0.04192778202532618, 0.0776168793025944, 0.2367753387187366, -0.012968677303029431, -0.15905605447564827, 0.0020047588860271155, 0.12403022944582281, -0.053143338576504634, -0.0023394889301723903, 0.20785807714694077, -0.09444588540052926, -0.07324340270349274, 0.3661471243809771, 0.025220253720396647, -0.2025107208777357, 0.16662588934586556, -0.1400196219328791, -0.14547445155956126, 0.15193781042816462, 0.13675574903134946, 0.12473756987256585, -0.10058018372014717, 0.11014986778092054, -0.07833189701637754, 0.20722753168256194, -0.04303189063837096, -0.09400147282414967, 0.211118390576707, 0.1392202489078045, -0.047309214851810354, 0.1331466366019514, -0.04530284001009056, -0.10330227124332278, -0.37477178995807964, -0.18505769485124834, -0.1848620604551225, 0.06786024725685517, -0.014563085683793933, -0.09839004890656927, 0.44752350863483215, 0.21913282373161228, 0.1258190889601354, -0.019032764834938227, 0.2288384345118646, 0.051250989410888265, 0.09119962776700656, 0.0578876578387011, 0.18420731576366556, 0.16207174156551007, 0.13066658676015558, -0.17554485344293494, -0.04661035970612257, 0.17352665398545838] |
709.1055 | Mass transport in a strongly sheared binary mixture of Maxwell molecules | Transport coefficients associated with the mass flux of a binary mixture of
Maxwell molecules under uniform shear flow are exactly determined from the
Boltzmann kinetic equation. A normal solution is obtained via a
Chapman--Enskog-like expansion around a local shear flow distribution that
retains all the hydrodynamics orders in the shear rate. In the first order of
the expansion the mass flux is proportional to the gradients of mole fraction,
pressure, and temperature but, due to the anisotropy induced in the system by
the shear flow, mutual diffusion, pressure diffusion and thermal diffusion
tensors are identified instead of the conventional scalar coefficients. These
tensors are obtained in terms of the shear rate and the parameters of the
mixture (particle masses, concentrations, and force constants). The description
is made both in the absence and in the presence of an external thermostat
introduced in computer simulations to compensate for the viscous heating. As
expected, the analysis shows that there is not a simple relationship between
the results with and without the thermostat. The dependence of the three
diffusion tensors on the shear rate is illustrated in the tracer limit case,
the results showing that the deviation of the generalized transport
coefficients from their equilibrium forms is in general quite important.
Finally, the generalized transport coefficients associated with the momentum
and heat transport are evaluated from a model kinetic equation of the Boltzmann
equation.
| cond-mat.stat-mech | transport coefficients associated with the mass flux of a binary mixture of maxwell molecules under uniform shear flow are exactly determined from the boltzmann kinetic equation a normal solution is obtained via a chapmanenskoglike expansion around a local shear flow distribution that retains all the hydrodynamics orders in the shear rate in the first order of the expansion the mass flux is proportional to the gradients of mole fraction pressure and temperature but due to the anisotropy induced in the system by the shear flow mutual diffusion pressure diffusion and thermal diffusion tensors are identified instead of the conventional scalar coefficients these tensors are obtained in terms of the shear rate and the parameters of the mixture particle masses concentrations and force constants the description is made both in the absence and in the presence of an external thermostat introduced in computer simulations to compensate for the viscous heating as expected the analysis shows that there is not a simple relationship between the results with and without the thermostat the dependence of the three diffusion tensors on the shear rate is illustrated in the tracer limit case the results showing that the deviation of the generalized transport coefficients from their equilibrium forms is in general quite important finally the generalized transport coefficients associated with the momentum and heat transport are evaluated from a model kinetic equation of the boltzmann equation | [['transport', 'coefficients', 'associated', 'with', 'the', 'mass', 'flux', 'of', 'a', 'binary', 'mixture', 'of', 'maxwell', 'molecules', 'under', 'uniform', 'shear', 'flow', 'are', 'exactly', 'determined', 'from', 'the', 'boltzmann', 'kinetic', 'equation', 'a', 'normal', 'solution', 'is', 'obtained', 'via', 'a', 'chapmanenskoglike', 'expansion', 'around', 'a', 'local', 'shear', 'flow', 'distribution', 'that', 'retains', 'all', 'the', 'hydrodynamics', 'orders', 'in', 'the', 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709.1056 | A Sudoku Game for People with Motor Impairments | Computer games are motivating and beneficial in learning different
educational skills. Most people use their fingers, hands, and arms when using a
computer game. However, for people with motor disabilities this task can be a
barrier. We present a new Sudoku game for people whose motion is impaired,
called Sudoku 4ALL. With this special interface a person can control the game
with the voice or with a single switch. Our research aims to cautiously search
for issues that might be appropriate for computational support and to build
enabling technologies that increase individuals' functional independence in a
game environment.
| cs.HC cs.CY | computer games are motivating and beneficial in learning different educational skills most people use their fingers hands and arms when using a computer game however for people with motor disabilities this task can be a barrier we present a new sudoku game for people whose motion is impaired called sudoku 4all with this special interface a person can control the game with the voice or with a single switch our research aims to cautiously search for issues that might be appropriate for computational support and to build enabling technologies that increase individuals functional independence in a game environment | [['computer', 'games', 'are', 'motivating', 'and', 'beneficial', 'in', 'learning', 'different', 'educational', 'skills', 'most', 'people', 'use', 'their', 'fingers', 'hands', 'and', 'arms', 'when', 'using', 'a', 'computer', 'game', 'however', 'for', 'people', 'with', 'motor', 'disabilities', 'this', 'task', 'can', 'be', 'a', 'barrier', 'we', 'present', 'a', 'new', 'sudoku', 'game', 'for', 'people', 'whose', 'motion', 'is', 'impaired', 'called', 'sudoku', '4all', 'with', 'this', 'special', 'interface', 'a', 'person', 'can', 'control', 'the', 'game', 'with', 'the', 'voice', 'or', 'with', 'a', 'single', 'switch', 'our', 'research', 'aims', 'to', 'cautiously', 'search', 'for', 'issues', 'that', 'might', 'be', 'appropriate', 'for', 'computational', 'support', 'and', 'to', 'build', 'enabling', 'technologies', 'that', 'increase', 'individuals', 'functional', 'independence', 'in', 'a', 'game', 'environment']] | [-0.06610768887492799, 0.09304733402527791, -0.1183487078770227, 0.08203594218795524, -0.20789155293947337, -0.27843185960670414, 0.08486134711276144, 0.44098490046471667, -0.2467057623086766, -0.35824376187220064, 0.09427181085974899, -0.2568507500103262, -0.2112680432727541, 0.1474211346214042, -0.20325139590260602, 0.013743549658552042, 0.12437918986621092, 0.05210587749084861, 0.06220255190621793, -0.2763635668634754, 0.2732207354340587, 0.009925698803872177, 0.2313702093802162, 0.03184262056326129, 0.10451710043167792, -0.0005132585965557812, 0.03589763831990512, 0.04437730062906582, -0.053864463700069184, 0.1571472046810404, 0.41862057785733997, 0.2084680504463229, 0.44294310688069954, -0.47081853704738247, -0.1553108154378409, 0.09790471672637331, 0.16717403060900643, 0.13443808837976193, -0.09451761811650022, -0.3460198954976711, 0.0859517117808621, -0.18400449796751775, -0.05815226086367344, -0.04483975741301769, 0.0038864542586133652, 0.009195544458109616, -0.28252798587698297, -0.05735721233656112, -0.02925570588078849, 0.14495905952470511, 0.01265163747977811, -0.09394203025857274, 0.0690318802203599, 0.24809453591911995, 0.033882273243471366, 0.03098785467733888, 0.2093685157885103, -0.23560845683215992, -0.205675061091243, 0.3907630623932736, 0.03763188053517766, -0.20147544060612924, 0.22143861671583248, -0.053216922620176965, -0.12974114150058516, 0.05354493206064457, 0.19556082239777772, 0.09484888755802795, -0.17440375949561562, -0.029263877892535487, -0.037243562947344225, 0.19825634923907592, 0.060622311101208644, -0.04805330258131642, 0.21707770252389083, 0.22263278225292787, 0.11133137350594721, 0.10282566154270058, 0.0003213836936299334, -0.11954011977410194, -0.19667466789407215, -0.18613185424006007, -0.10088739600320606, -0.007357135251855727, -0.05828490082163138, -0.13728371148295315, 0.347770228117858, 0.18597660610721128, 0.08960299190018595, 0.09045975718685646, 0.31771246923767416, 0.046618558011574614, 0.09911287198390466, 0.07058160080149598, 0.12987981178016478, 0.016683177609649515, 0.19934959319833012, -0.18188923650142766, 0.12591805888973562, -0.011862761422646107] |
709.1057 | Spin-orbit coupling effects in one-dimensional ballistic quantum wires | We study the spin-dependent electronic transport through a one-dimensional
ballistic quantum wire in the presence of Rashba spin-orbit interaction. In
particular, we consider the effect of the spin-orbit interaction resulting from
the lateral confinement of the two-dimensional electron gas to the
one-dimensional wire geometry. We generalize a situation suggested earlier [P.
Streda and P. Seba, Phys. Rev. Lett. 90, 256601 (2003)] which allows for
spin-polarized electron transport. As a result of the lateral confinement, the
spin is rotated out of the plane of the two-dimensional system. We furthermore
investigate the spin-dependent transmission and the polarization of an electron
current at a potential barrier. Finally, we construct a lattice model which
shows similar low-energy physics. In the future, this lattice model will allow
us to study how the electron-electron interaction affects the transport
properties of the present setup.
| cond-mat.mes-hall | we study the spindependent electronic transport through a onedimensional ballistic quantum wire in the presence of rashba spinorbit interaction in particular we consider the effect of the spinorbit interaction resulting from the lateral confinement of the twodimensional electron gas to the onedimensional wire geometry we generalize a situation suggested earlier p streda and p seba phys rev lett 90 256601 2003 which allows for spinpolarized electron transport as a result of the lateral confinement the spin is rotated out of the plane of the twodimensional system we furthermore investigate the spindependent transmission and the polarization of an electron current at a potential barrier finally we construct a lattice model which shows similar lowenergy physics in the future this lattice model will allow us to study how the electronelectron interaction affects the transport properties of the present setup | [['we', 'study', 'the', 'spindependent', 'electronic', 'transport', 'through', 'a', 'onedimensional', 'ballistic', 'quantum', 'wire', 'in', 'the', 'presence', 'of', 'rashba', 'spinorbit', 'interaction', 'in', 'particular', 'we', 'consider', 'the', 'effect', 'of', 'the', 'spinorbit', 'interaction', 'resulting', 'from', 'the', 'lateral', 'confinement', 'of', 'the', 'twodimensional', 'electron', 'gas', 'to', 'the', 'onedimensional', 'wire', 'geometry', 'we', 'generalize', 'a', 'situation', 'suggested', 'earlier', 'p', 'streda', 'and', 'p', 'seba', 'phys', 'rev', 'lett', '90', '256601', '2003', 'which', 'allows', 'for', 'spinpolarized', 'electron', 'transport', 'as', 'a', 'result', 'of', 'the', 'lateral', 'confinement', 'the', 'spin', 'is', 'rotated', 'out', 'of', 'the', 'plane', 'of', 'the', 'twodimensional', 'system', 'we', 'furthermore', 'investigate', 'the', 'spindependent', 'transmission', 'and', 'the', 'polarization', 'of', 'an', 'electron', 'current', 'at', 'a', 'potential', 'barrier', 'finally', 'we', 'construct', 'a', 'lattice', 'model', 'which', 'shows', 'similar', 'lowenergy', 'physics', 'in', 'the', 'future', 'this', 'lattice', 'model', 'will', 'allow', 'us', 'to', 'study', 'how', 'the', 'electronelectron', 'interaction', 'affects', 'the', 'transport', 'properties', 'of', 'the', 'present', 'setup']] | [-0.18173881418196663, 0.12893283526125957, -0.05310644259203828, -0.00012585371458793387, -0.021918803960194484, -0.1304585778270848, 0.057777784391552865, 0.3567056726760176, -0.26239841456031976, -0.27142783650539487, -0.06282239527054652, -0.27616390946283953, -0.1476517155636376, 0.18412725696929128, 0.022500334935851723, 0.031021265672547194, 0.009646819993470083, -0.05737078030634781, -0.09306716080070199, -0.21841482555336209, 0.2693852981799008, 0.07785258042156998, 0.29141334613429054, 0.1521179435606909, 0.034378336694584614, 0.1049578107383294, 0.062497569809612984, 0.0017157454071018625, -0.20236664104445748, 0.07191628423307146, 0.1568535918054027, -0.10471859483924859, 0.18606470248607151, -0.47733754912555654, -0.219650655217907, 0.029740179501994347, 0.1250826039673377, 0.19193444508025148, -0.031163539420744842, -0.2829207417363411, -0.03186675838258131, -0.22288126117714188, -0.17801721475552768, -0.05412328286740162, 0.018284667824285433, 0.008706477826789898, -0.2663442758459817, 0.09864663280142635, 0.07687799396979458, 0.025100324248128077, -0.032101329582527635, -0.051481374050661756, -0.036981898342834454, 0.05574150518719655, -0.0009654367707245162, 0.04322431296767557, 0.15645064748755164, -0.09469782218366163, -0.12466820962521631, 0.38928961390903327, -0.06977454834722106, -0.1739477733760449, 0.18640600507976213, -0.2119143761399969, -0.05161986133316532, 0.09864551044986858, 0.18177043079562924, 0.08430075042826288, -0.17239021758124343, 0.13332249494937165, -0.1017955926774234, 0.09419544779837666, 0.029641080462812063, 0.045419475145857126, 0.2522971528198789, 0.1871343402308412, 0.03179114793345113, 0.15016487770138637, -0.18727306559209383, -0.07268921324216268, -0.26706866980256405, -0.17934636675122687, -0.1811023503122509, 0.12472538442200269, -0.0010296216913796823, -0.14853648534934857, 0.4462244122508256, 0.20749867768266567, 0.18250274457557894, -0.059874243400854, 0.2431001117836465, 0.1090634300293031, 0.007593830321531962, 0.03924381754854146, 0.26166587784545675, 0.18184385302147882, 0.10671248649219599, -0.3393132450856844, -0.003938246651908711, 0.014594677125227036] |
709.1058 | Joint Bayesian component separation and CMB power spectrum estimation | We describe and implement an exact, flexible, and computationally efficient
algorithm for joint component separation and CMB power spectrum estimation,
building on a Gibbs sampling framework. Two essential new features are 1)
conditional sampling of foreground spectral parameters, and 2) joint sampling
of all amplitude-type degrees of freedom (e.g., CMB, foreground pixel
amplitudes, and global template amplitudes) given spectral parameters. Given a
parametric model of the foreground signals, we estimate efficiently and
accurately the exact joint foreground-CMB posterior distribution, and therefore
all marginal distributions such as the CMB power spectrum or foreground
spectral index posteriors. The main limitation of the current implementation is
the requirement of identical beam responses at all frequencies, which restricts
the analysis to the lowest resolution of a given experiment. We outline a
future generalization to multi-resolution observations. To verify the method,
we analyse simple models and compare the results to analytical predictions. We
then analyze a realistic simulation with properties similar to the 3-yr WMAP
data, downgraded to a common resolution of 3 degree FWHM. The results from the
actual 3-yr WMAP temperature analysis are presented in a companion Letter.
| astro-ph | we describe and implement an exact flexible and computationally efficient algorithm for joint component separation and cmb power spectrum estimation building on a gibbs sampling framework two essential new features are 1 conditional sampling of foreground spectral parameters and 2 joint sampling of all amplitudetype degrees of freedom eg cmb foreground pixel amplitudes and global template amplitudes given spectral parameters given a parametric model of the foreground signals we estimate efficiently and accurately the exact joint foregroundcmb posterior distribution and therefore all marginal distributions such as the cmb power spectrum or foreground spectral index posteriors the main limitation of the current implementation is the requirement of identical beam responses at all frequencies which restricts the analysis to the lowest resolution of a given experiment we outline a future generalization to multiresolution observations to verify the method we analyse simple models and compare the results to analytical predictions we then analyze a realistic simulation with properties similar to the 3yr wmap data downgraded to a common resolution of 3 degree fwhm the results from the actual 3yr wmap temperature analysis are presented in a companion letter | [['we', 'describe', 'and', 'implement', 'an', 'exact', 'flexible', 'and', 'computationally', 'efficient', 'algorithm', 'for', 'joint', 'component', 'separation', 'and', 'cmb', 'power', 'spectrum', 'estimation', 'building', 'on', 'a', 'gibbs', 'sampling', 'framework', 'two', 'essential', 'new', 'features', 'are', '1', 'conditional', 'sampling', 'of', 'foreground', 'spectral', 'parameters', 'and', '2', 'joint', 'sampling', 'of', 'all', 'amplitudetype', 'degrees', 'of', 'freedom', 'eg', 'cmb', 'foreground', 'pixel', 'amplitudes', 'and', 'global', 'template', 'amplitudes', 'given', 'spectral', 'parameters', 'given', 'a', 'parametric', 'model', 'of', 'the', 'foreground', 'signals', 'we', 'estimate', 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709.1059 | A new semilocal convergence theorem for the Weierstrass method from data
at one point | In this paper we present a new semilocal convergence theorem from data at one
point for the Weierstrass iterative method for the simultaneous computation of
polynomial zeros. The main result generalizes and improves all previous ones in
this area.
| math.NA | in this paper we present a new semilocal convergence theorem from data at one point for the weierstrass iterative method for the simultaneous computation of polynomial zeros the main result generalizes and improves all previous ones in this area | [['in', 'this', 'paper', 'we', 'present', 'a', 'new', 'semilocal', 'convergence', 'theorem', 'from', 'data', 'at', 'one', 'point', 'for', 'the', 'weierstrass', 'iterative', 'method', 'for', 'the', 'simultaneous', 'computation', 'of', 'polynomial', 'zeros', 'the', 'main', 'result', 'generalizes', 'and', 'improves', 'all', 'previous', 'ones', 'in', 'this', 'area']] | [-0.1071264714671251, -0.07508250910979815, -0.11815134687826802, 0.04777488035436433, -0.031606182300796114, -0.0966980730374463, 0.09068754009412935, 0.2871226546808313, -0.2673375129293746, -0.26297830359246105, 0.08292165752619696, -0.2682273739901109, -0.15267412474331182, 0.2603636357742242, -0.13090218062652872, 0.0874930953559203, 0.08995782794096531, 0.0060402929353026245, -0.09997956488185968, -0.3018015167460992, 0.3358536961560066, 0.009177297855225893, 0.2516816993936514, 0.07226183528128342, 0.049226268663262136, 0.06967687490993203, -0.07504908539927922, -0.07159752776034367, -0.12849205808761793, 0.15449031219125176, 0.29496328093302554, 0.10300378266196603, 0.26536017288573277, -0.376816612883256, -0.17827695954399994, 0.15872427121473429, 0.16237349132410225, 0.14229354048625398, -0.029313382979195852, -0.19540336035574093, 0.12920706700056028, -0.13485862677678084, -0.16653826942619604, -0.07153500341929686, -0.05715226324704977, 0.04847249068701879, -0.27452235769193906, 0.12132237843261698, 0.14350351845197834, 0.08760516632061738, -0.029749172429243725, -0.15529010469953602, 0.09910146174474786, 0.06828285943573484, 0.05276969649518529, 0.09220500728593041, 0.03403033479713859, -0.07434416740225294, -0.13181041410336128, 0.28663532779766965, -0.05990853934333874, -0.1728114966685191, 0.14156422124077112, -0.12547699870684972, -0.258337167581209, 0.15753882332967642, 0.12734964297702298, 0.1759899557592013, -0.12939047142385673, 0.13981201618951625, -0.08014061032101893, 0.07376361089439179, 0.10609014301250379, -0.0031491593004037174, 0.11153557237524253, 0.158807727185866, 0.13884612882079986, 0.15193342708815366, -0.04187519204778931, -0.09195470630836028, -0.3356755559261029, -0.16799355214700484, -0.22428385011004046, -0.005009148198251541, -0.11980076550874703, -0.139694194521349, 0.4653924865982471, 0.18464677958773115, 0.18313060471644768, 0.16178428498693767, 0.3420561549182122, 0.07553455295662086, 0.027819805205441438, 0.11742546772345519, 0.1927543943031476, 0.07219825064142545, 0.13283893479129824, -0.13837621453552482, -0.010038272012025118, 0.19682564582818976] |
709.106 | Spitzer-MIPS survey of the young stellar content in the Vela Molecular
Cloud-D | A new, unbiased Spitzer-MIPS imaging survey (~1.8 square degs) of the young
stellar content of the Vela Molecular Cloud-D is presented. The survey is
complete down to 5mJy and 250mJy at 24micron (mu) and 70mu, respectively. 849
sources are detected at 24mu and 52 of them also have a 70mu counterpart. The
VMR-D region is one that we have already partially mapped in dust and gas
millimeter emission, and we discuss the correlation between the Spitzer compact
sources and the mm contours. About half of the 24mu sources are located inside
the region delimited by the 12CO(1-0) contours (corresponding to only one third
of the full area mapped with MIPS) with a consequent density increase of about
100% of the 24mu sources [four times for 70mu ones] moving from outside to
inside the CO contours. About 400 sources have a 2MASS counterpart. So we have
constructed a Ks vs. Ks-[24] diagram and identified the protostellar
population. We find an excess of Class I sources in VMR-D in comparison with
other star forming regions. This result is reasonably biased by the sensitivity
limits, or, alternatively, may reflect a very short lifetime (<=10^6yr) of the
protostellar content in this cloud. The MIPS images have identified embedded
cool objects in most of the previously identified starless cores; in addition,
there are 6 very young, possibly Class 0 objects identified. Finally we report
finding of the driving sources for a set of five out of six very compact
protostellar jets previously discovered in near-infrared images.
| astro-ph | a new unbiased spitzermips imaging survey 18 square degs of the young stellar content of the vela molecular cloudd is presented the survey is complete down to 5mjy and 250mjy at 24micron mu and 70mu respectively 849 sources are detected at 24mu and 52 of them also have a 70mu counterpart the vmrd region is one that we have already partially mapped in dust and gas millimeter emission and we discuss the correlation between the spitzer compact sources and the mm contours about half of the 24mu sources are located inside the region delimited by the 12co10 contours corresponding to only one third of the full area mapped with mips with a consequent density increase of about 100 of the 24mu sources four times for 70mu ones moving from outside to inside the co contours about 400 sources have a 2mass counterpart so we have constructed a ks vs ks24 diagram and identified the protostellar population we find an excess of class i sources in vmrd in comparison with other star forming regions this result is reasonably biased by the sensitivity limits or alternatively may reflect a very short lifetime 106yr of the protostellar content in this cloud the mips images have identified embedded cool objects in most of the previously identified starless cores in addition there are 6 very young possibly class 0 objects identified finally we report finding of the driving sources for a set of five out of six very compact protostellar jets previously discovered in nearinfrared images | [['a', 'new', 'unbiased', 'spitzermips', 'imaging', 'survey', '18', 'square', 'degs', 'of', 'the', 'young', 'stellar', 'content', 'of', 'the', 'vela', 'molecular', 'cloudd', 'is', 'presented', 'the', 'survey', 'is', 'complete', 'down', 'to', '5mjy', 'and', '250mjy', 'at', '24micron', 'mu', 'and', '70mu', 'respectively', '849', 'sources', 'are', 'detected', 'at', '24mu', 'and', '52', 'of', 'them', 'also', 'have', 'a', '70mu', 'counterpart', 'the', 'vmrd', 'region', 'is', 'one', 'that', 'we', 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709.1061 | Fermionic Quasi-free States and Maps in Information Theory | This paper and the results therein are geared towards building a basic
toolbox for calculations in quantum information theory of quasi-free fermionic
systems. Various entropy and relative entropy measures are discussed and the
calculation of these reduced to evaluating functions on the one-particle
component of quasi-free states.
The set of quasi-free affine maps on the state space is determined and fully
characterized in terms of operations on one-particle subspaces. For a subclass
of trace preserving completely positive maps and for their duals, Choi matrices
and Jamiolkowski states are discussed.
| quant-ph | this paper and the results therein are geared towards building a basic toolbox for calculations in quantum information theory of quasifree fermionic systems various entropy and relative entropy measures are discussed and the calculation of these reduced to evaluating functions on the oneparticle component of quasifree states the set of quasifree affine maps on the state space is determined and fully characterized in terms of operations on oneparticle subspaces for a subclass of trace preserving completely positive maps and for their duals choi matrices and jamiolkowski states are discussed | [['this', 'paper', 'and', 'the', 'results', 'therein', 'are', 'geared', 'towards', 'building', 'a', 'basic', 'toolbox', 'for', 'calculations', 'in', 'quantum', 'information', 'theory', 'of', 'quasifree', 'fermionic', 'systems', 'various', 'entropy', 'and', 'relative', 'entropy', 'measures', 'are', 'discussed', 'and', 'the', 'calculation', 'of', 'these', 'reduced', 'to', 'evaluating', 'functions', 'on', 'the', 'oneparticle', 'component', 'of', 'quasifree', 'states', 'the', 'set', 'of', 'quasifree', 'affine', 'maps', 'on', 'the', 'state', 'space', 'is', 'determined', 'and', 'fully', 'characterized', 'in', 'terms', 'of', 'operations', 'on', 'oneparticle', 'subspaces', 'for', 'a', 'subclass', 'of', 'trace', 'preserving', 'completely', 'positive', 'maps', 'and', 'for', 'their', 'duals', 'choi', 'matrices', 'and', 'jamiolkowski', 'states', 'are', 'discussed']] | [-0.11042125538786811, 0.16479553247990317, -0.047499266044979685, 0.07282948144973161, 0.06394469792944159, -0.11472474265152986, 0.023989520140327094, 0.34002102088978453, -0.27241683659258853, -0.19605343274541953, 0.08805805987029681, -0.3048678520606475, -0.12184897845276119, 0.21713335565919203, -0.023151448571318244, 0.12420242197100032, 0.04748289273486713, 0.03862102059228869, -0.14462166013761182, -0.2388730305744063, 0.40581073129047335, 0.05548895867619914, 0.2594399165906263, 0.0766101394455587, 0.10477766163877389, 0.03960396304629806, -0.09445309536950139, 0.005951890520152396, -0.12169685134052016, 0.17185302492456114, 0.2985235021104304, 0.14447066736057024, 0.17662532454921623, -0.38914683429796376, -0.18115768304324886, 0.0934945327972763, 0.09395558658589641, 0.1116235647569646, -0.0035510555398912073, -0.3375516373538569, 0.06297158016666268, -0.18268000205790394, -0.09499405658793415, -0.16185524613920893, 0.030801884484676162, -0.021041381099585737, -0.19329455801484624, 0.05559216166605775, 0.07007529202554691, 0.07291470853318499, -0.09894376145636537, -0.14775668870490255, -0.05166206427645775, 0.13560880202632608, -0.04960715310553905, 0.0016816219006236014, 0.15159894369040314, -0.1192967613839827, -0.13825470061575093, 0.3354753545495901, -0.026268859025028148, -0.2660918609939615, 0.19643239922863379, -0.12715675208385344, -0.15678537298475256, 0.08093445065295261, 0.1306668861606943, 0.1070546753641762, -0.14069826425879858, 0.12791796167396804, -0.0379417459114214, 0.08729953369062939, 0.038684987227610323, 0.1250440650776531, 0.17386428194036813, 0.05831535333202461, 0.06425721305579449, 0.15349823369623652, 0.01974779523103341, -0.15293407583808044, -0.34287312913560464, -0.19796484688903843, -0.18550082940733834, 0.033439883742523324, -0.024397174040643038, -0.1857794935741786, 0.42305771689966654, 0.0393723849772235, 0.18154991747585147, 0.07280730470502225, 0.21245236528430428, 0.1424350281851955, 0.006243209718213825, 0.07855718235453862, 0.16618437009727519, 0.24025994392760683, 0.001570301711182581, -0.213203794325524, 0.047890582979981146, 0.13372847161601098] |
709.1062 | A complex semigroup approach to group algebras of infinite dimensional
Lie groups | A host algebra of a topological group G is a C^*-algebra whose
representations are in one-to-one correspondence with certain continuous
unitary representations of G. In this paper we present an approach to host
algebras for infinite dimensional Lie groups which is based on complex
involutive semigroups. Any locally bounded absolute value \alpha on such a
semigroup S leads in a natural way to a C^*-algebra C^*(S,\alpha), and we
describe a setting which permits us to conclude that this C^*-algebra is a host
algebra for a Lie group G. We further explain how to attach to any such host
algebra an invariant weak-*-closed convex set in the dual of the Lie algebra of
G enjoying certain nice convex geometric properties. If G is the additive group
of a locally convex space, we describe all host algebras arising this way. The
general non-commutative case is left for the future.
| math.OA math.RT | a host algebra of a topological group g is a calgebra whose representations are in onetoone correspondence with certain continuous unitary representations of g in this paper we present an approach to host algebras for infinite dimensional lie groups which is based on complex involutive semigroups any locally bounded absolute value alpha on such a semigroup s leads in a natural way to a calgebra csalpha and we describe a setting which permits us to conclude that this calgebra is a host algebra for a lie group g we further explain how to attach to any such host algebra an invariant weakclosed convex set in the dual of the lie algebra of g enjoying certain nice convex geometric properties if g is the additive group of a locally convex space we describe all host algebras arising this way the general noncommutative case is left for the future | [['a', 'host', 'algebra', 'of', 'a', 'topological', 'group', 'g', 'is', 'a', 'calgebra', 'whose', 'representations', 'are', 'in', 'onetoone', 'correspondence', 'with', 'certain', 'continuous', 'unitary', 'representations', 'of', 'g', 'in', 'this', 'paper', 'we', 'present', 'an', 'approach', 'to', 'host', 'algebras', 'for', 'infinite', 'dimensional', 'lie', 'groups', 'which', 'is', 'based', 'on', 'complex', 'involutive', 'semigroups', 'any', 'locally', 'bounded', 'absolute', 'value', 'alpha', 'on', 'such', 'a', 'semigroup', 's', 'leads', 'in', 'a', 'natural', 'way', 'to', 'a', 'calgebra', 'csalpha', 'and', 'we', 'describe', 'a', 'setting', 'which', 'permits', 'us', 'to', 'conclude', 'that', 'this', 'calgebra', 'is', 'a', 'host', 'algebra', 'for', 'a', 'lie', 'group', 'g', 'we', 'further', 'explain', 'how', 'to', 'attach', 'to', 'any', 'such', 'host', 'algebra', 'an', 'invariant', 'weakclosed', 'convex', 'set', 'in', 'the', 'dual', 'of', 'the', 'lie', 'algebra', 'of', 'g', 'enjoying', 'certain', 'nice', 'convex', 'geometric', 'properties', 'if', 'g', 'is', 'the', 'additive', 'group', 'of', 'a', 'locally', 'convex', 'space', 'we', 'describe', 'all', 'host', 'algebras', 'arising', 'this', 'way', 'the', 'general', 'noncommutative', 'case', 'is', 'left', 'for', 'the', 'future']] | [-0.14621836799260687, 0.09262884666601814, -0.11764855119272148, 0.03559830009599203, -0.18475872039322883, -0.12173720800687801, 0.004675569979965126, 0.4148879579638373, -0.3683153861393667, -0.20460811100759838, 0.11020119263701243, -0.23810614387453724, -0.15814864593526118, 0.1744583386844917, -0.17226877899789442, -0.046738295152477204, 0.04466850248369554, 0.15634820425296075, -0.14699065188513685, -0.22370462540029995, 0.391174714272357, -0.044906667940803384, 0.18330929113539216, -0.004674101317754296, 0.11863336743697626, -0.0041215221225347825, 0.0191319247018801, 0.01563363601050933, -0.1491675391133531, 0.13354933848094247, 0.31304983169554845, 0.07338853659465501, 0.25845358205173996, -0.347975218024309, -0.13078221743878565, 0.2250030193898878, 0.11002481940891339, 0.0009081394376539408, -0.08113352009190936, -0.26925762121291347, 0.09996407793967169, -0.22315433256053813, -0.12714817205584314, -0.07004083703233771, 0.10169022252196319, -0.06547805889547892, -0.27205902153677114, 0.002595695105623709, 0.08809890710327724, 0.09232484991343258, -0.07439577993171366, -0.023818248968207827, -0.06196088795007959, 0.08473651788886381, -0.09384848310911952, 0.07374746835557744, 0.13595979270359423, -0.04192708527625655, -0.13266712520909432, 0.40924013714140206, -0.011285739759468052, -0.23335894679472055, 0.1834600859924462, -0.20955768860366247, -0.20408340828646332, 0.08641073927729812, 0.10963603916054923, 0.1545972884632647, -0.08188154170774434, 0.21689343233935676, -0.1734418747372517, 0.06416850716149919, -0.006720984890444638, 0.032074155543104756, 0.17152688902809143, 0.12336817561578618, 0.12799517649914816, 0.1333639566875892, 0.10130942753541654, 0.02699128534223833, -0.3577694984612195, -0.17789890030271385, -0.11355567897099057, 0.13469881832452923, -0.09624613344353186, -0.200642310913767, 0.414136665627641, 0.11097747524235436, 0.1916380760846787, 0.11305990593176182, 0.1822467172320626, 0.10655836644193735, 0.09004947450011969, 0.08461597765642792, 0.1031267918289116, 0.24721664037198238, -0.08627904479532209, -0.16235621428206462, -0.045907728842855114, 0.1843338872800216] |
709.1063 | Lie groups of bundle automorphisms and their extensions | We describe natural abelian extensions of the Lie algebra $\aut(P)$ of
infinitesimal automorphisms of a principal bundle over a compact manifold $M$
and discuss their integrability to corresponding Lie group extensions. Already
the case of a trivial bundle $P = M \times K$ is quite interesting. In this
case, we show that essentially all central extensions of the gauge algebra
$C^\infty(M,\fk)$ can be obtained from three fundamental types of cocycles with
values in one of the spaces $\fz := C^\infty(M,V)$, $\Omega^1(M,V)$ and
$\Omega^1(M,V)/\dd C^\infty(M,V)$. These cocycles extend to $\aut(P)$, and,
under the assumption that $TM$ is trivial, we also describe the space
$H^2({\cal V}(M),\fz)$ classifying the twists of these extensions. We then show
that all fundamental types have natural generalizations to non-trivial bundles
and explain under which conditions they extend to $\aut(P)$ and integrate to
global Lie group extensions.
| math.DG | we describe natural abelian extensions of the lie algebra autp of infinitesimal automorphisms of a principal bundle over a compact manifold m and discuss their integrability to corresponding lie group extensions already the case of a trivial bundle p m times k is quite interesting in this case we show that essentially all central extensions of the gauge algebra cinftymfk can be obtained from three fundamental types of cocycles with values in one of the spaces fz cinftymv omega1mv and omega1mvdd cinftymv these cocycles extend to autp and under the assumption that tm is trivial we also describe the space h2cal vmfz classifying the twists of these extensions we then show that all fundamental types have natural generalizations to nontrivial bundles and explain under which conditions they extend to autp and integrate to global lie group extensions | [['we', 'describe', 'natural', 'abelian', 'extensions', 'of', 'the', 'lie', 'algebra', 'autp', 'of', 'infinitesimal', 'automorphisms', 'of', 'a', 'principal', 'bundle', 'over', 'a', 'compact', 'manifold', 'm', 'and', 'discuss', 'their', 'integrability', 'to', 'corresponding', 'lie', 'group', 'extensions', 'already', 'the', 'case', 'of', 'a', 'trivial', 'bundle', 'p', 'm', 'times', 'k', 'is', 'quite', 'interesting', 'in', 'this', 'case', 'we', 'show', 'that', 'essentially', 'all', 'central', 'extensions', 'of', 'the', 'gauge', 'algebra', 'cinftymfk', 'can', 'be', 'obtained', 'from', 'three', 'fundamental', 'types', 'of', 'cocycles', 'with', 'values', 'in', 'one', 'of', 'the', 'spaces', 'fz', 'cinftymv', 'omega1mv', 'and', 'omega1mvdd', 'cinftymv', 'these', 'cocycles', 'extend', 'to', 'autp', 'and', 'under', 'the', 'assumption', 'that', 'tm', 'is', 'trivial', 'we', 'also', 'describe', 'the', 'space', 'h2cal', 'vmfz', 'classifying', 'the', 'twists', 'of', 'these', 'extensions', 'we', 'then', 'show', 'that', 'all', 'fundamental', 'types', 'have', 'natural', 'generalizations', 'to', 'nontrivial', 'bundles', 'and', 'explain', 'under', 'which', 'conditions', 'they', 'extend', 'to', 'autp', 'and', 'integrate', 'to', 'global', 'lie', 'group', 'extensions']] | [-0.1788966410793364, 0.07755662284549684, -0.07029243293576516, 0.0818634484294587, -0.13590566268226562, -0.12100474633491383, -0.012033675575199035, 0.3824763387011794, -0.31913470623011775, -0.1992746802834937, 0.14371306480159265, -0.2166020046059902, -0.17022528929653793, 0.20667478122318594, -0.11372184801416901, -0.04728744125358599, 0.01350076155593762, 0.13125072648892036, -0.13708517870668752, -0.277867780935664, 0.4031804689062903, -0.04451596448556162, 0.20882644932717084, -0.002502668087478154, 0.10514702696639758, 0.0046694085861627875, -0.002383427044305091, -0.00618241761761825, -0.13974494525637754, 0.10450953933625268, 0.3032742423793444, 0.046546585222677093, 0.17451538402372255, -0.3703140801535203, -0.17821675795846834, 0.20882587173702913, 0.11303273238456593, 0.007048240832339686, 0.003979486936273483, -0.27758314732390527, 0.15431050312562059, -0.1700871756980912, -0.13972843487550002, -0.11975854625925422, 0.07410580273807192, -0.004798674250308138, -0.21190693776588887, -0.03181527006068231, 0.11456714521090572, 0.08223290929140953, -0.1044501048566487, -0.09811038374184416, -0.07611266059371141, 0.07903422526657009, 0.04882246616583031, -0.008639801406444839, 0.13842873180356735, -0.04469834258958984, -0.13197322826196725, 0.3978626302228524, -0.060165057395799804, -0.2224371395002191, 0.19149983423547104, -0.18249845094262407, -0.22482568124810665, 0.08914240050631074, 0.10077689448013329, 0.11869864317100459, -0.03091631419240282, 0.18674335758192823, -0.1232391938746262, 0.047323589456769136, 0.08116209652776328, -0.0019124895370063873, 0.1473766948454655, 0.06741642281413078, 0.09759327405884576, 0.09984139773833493, 0.04708230436663143, -0.050968525004841815, -0.38103699596742024, -0.21143744678523105, -0.04074860726518986, 0.11723430667860577, -0.0813992705799487, -0.11692873492586212, 0.43609602227448846, 0.15103314285739683, 0.22021755087189376, 0.10663534957790174, 0.18603787767844132, 0.06482128037247234, 0.11255751128236835, 0.07456825884023252, 0.14778473523373786, 0.23570293944973786, -0.038048884382722185, -0.1325305211232402, -0.09125457869556088, 0.12946329556333905] |
709.1064 | On convexity of the frequency response of a stable polynomial | In the complex plane, the frequency response of a univariate polynomial is
the set of values taken by the polynomial when evaluated along the imaginary
axis. This is an algebraic curve partitioning the plane into several connected
components. In this note it is shown that the component including the origin is
exactly representable by a linear matrix inequality if and only if the
polynomial is stable, in the sense that all its roots have negative real parts.
| math.OC math.AG | in the complex plane the frequency response of a univariate polynomial is the set of values taken by the polynomial when evaluated along the imaginary axis this is an algebraic curve partitioning the plane into several connected components in this note it is shown that the component including the origin is exactly representable by a linear matrix inequality if and only if the polynomial is stable in the sense that all its roots have negative real parts | [['in', 'the', 'complex', 'plane', 'the', 'frequency', 'response', 'of', 'a', 'univariate', 'polynomial', 'is', 'the', 'set', 'of', 'values', 'taken', 'by', 'the', 'polynomial', 'when', 'evaluated', 'along', 'the', 'imaginary', 'axis', 'this', 'is', 'an', 'algebraic', 'curve', 'partitioning', 'the', 'plane', 'into', 'several', 'connected', 'components', 'in', 'this', 'note', 'it', 'is', 'shown', 'that', 'the', 'component', 'including', 'the', 'origin', 'is', 'exactly', 'representable', 'by', 'a', 'linear', 'matrix', 'inequality', 'if', 'and', 'only', 'if', 'the', 'polynomial', 'is', 'stable', 'in', 'the', 'sense', 'that', 'all', 'its', 'roots', 'have', 'negative', 'real', 'parts']] | [-0.16683210758945916, 0.09569598196619401, -0.09089922669113844, 0.010451718740007998, -0.09126791630738548, -0.09399995260702615, -0.045225660038458834, 0.34044201822056397, -0.3435212267296655, -0.1717820528035911, 0.13157224122513472, -0.26764899415762294, -0.18205848124555565, 0.21339667183891325, -0.006226697972939386, -0.005231367710444097, 0.04494143305225419, 0.08448209163623971, -0.027415153736780797, -0.3213678120662664, 0.32336826363046256, -0.04457818722811999, 0.2059221558859451, 0.043440019246190786, 0.13427887867845886, 0.01390832562193081, 0.009881405825061458, 0.03977727561027973, -0.037984652895073696, 0.07291648780334402, 0.27971100187920905, 0.11650524452909247, 0.25370540566040906, -0.36845125339006063, -0.14477662903002717, 0.2026029323143038, 0.13798135117772822, 0.006182132288813591, 0.019173572239066874, -0.21046324469173303, 0.11451238776593432, -0.10064239578031293, -0.16722502330221334, -0.014337625200315923, 0.10078263459364314, 0.004108362924912339, -0.25148303983370207, 0.017371209689065234, 0.09059538246229194, 0.08891643506365937, -0.034106606969839665, -0.12114426778937847, -0.021202919082474205, 0.07131899609540396, 0.021224313763321026, 0.06080260754308917, 0.06766097461683797, -0.0646112506979375, -0.06091535473756444, 0.3887115005137665, -0.0256116085371317, -0.2710100678219037, 0.10766904562856856, -0.18232046041105474, -0.1049308895478146, 0.15422303041491608, 0.09694150707672362, 0.09682367492902588, -0.10538920780357318, 0.172628740585778, -0.10052774337350161, 0.1635956425558437, 0.07571995862179084, -0.0635401167568158, 0.18358434439189247, 0.044943154314774775, 0.08394358134985366, 0.15852461145078015, -0.019517020606617263, -0.0915600860116447, -0.31198552754018216, -0.1488188171045637, -0.2436849709778613, 0.020078054980024115, -0.13933674475255986, -0.18310140315314766, 0.4574396944568529, 0.058093297150131167, 0.23290394339710474, 0.07213732472004054, 0.3429323603677285, 0.17544245419818938, 0.06861389191917978, 0.08121640046525712, 0.2081253337794794, 0.15211916815900764, 0.04580690230351764, -0.19656693926927718, 0.11699513878141131, 0.06448657853020863] |
709.1065 | Broadband dielectric response of CaCu3Ti4O12: From dc to the electronic
transition regime | We report on phonon properties and electronic transitions in CaCu3Ti4O12, a
material which reveals a colossal dielectric constant at room temperature
without any ferroelectric transition. The results of far- and mid-infrared
measurements are compared to those obtained by broadband dielectric and
millimeter-wave spectroscopy on the same single crystal. The unusual
temperature dependence of phonon eigenfrequencies, dampings and ionic plasma
frequencies of low lying phonon modes are analyzed and discussed in detail.
Electronic excitations below 4 eV are identified as transitions between full
and empty hybridized oxygen-copper bands and between oxygen-copper and
unoccupied Ti 3d bands. The unusually small band gap determined from the
dc-conductivity (~200 meV) compares well with the optical results.
| cond-mat.str-el cond-mat.mtrl-sci | we report on phonon properties and electronic transitions in cacu3ti4o12 a material which reveals a colossal dielectric constant at room temperature without any ferroelectric transition the results of far and midinfrared measurements are compared to those obtained by broadband dielectric and millimeterwave spectroscopy on the same single crystal the unusual temperature dependence of phonon eigenfrequencies dampings and ionic plasma frequencies of low lying phonon modes are analyzed and discussed in detail electronic excitations below 4 ev are identified as transitions between full and empty hybridized oxygencopper bands and between oxygencopper and unoccupied ti 3d bands the unusually small band gap determined from the dcconductivity 200 mev compares well with the optical results | [['we', 'report', 'on', 'phonon', 'properties', 'and', 'electronic', 'transitions', 'in', 'cacu3ti4o12', 'a', 'material', 'which', 'reveals', 'a', 'colossal', 'dielectric', 'constant', 'at', 'room', 'temperature', 'without', 'any', 'ferroelectric', 'transition', 'the', 'results', 'of', 'far', 'and', 'midinfrared', 'measurements', 'are', 'compared', 'to', 'those', 'obtained', 'by', 'broadband', 'dielectric', 'and', 'millimeterwave', 'spectroscopy', 'on', 'the', 'same', 'single', 'crystal', 'the', 'unusual', 'temperature', 'dependence', 'of', 'phonon', 'eigenfrequencies', 'dampings', 'and', 'ionic', 'plasma', 'frequencies', 'of', 'low', 'lying', 'phonon', 'modes', 'are', 'analyzed', 'and', 'discussed', 'in', 'detail', 'electronic', 'excitations', 'below', '4', 'ev', 'are', 'identified', 'as', 'transitions', 'between', 'full', 'and', 'empty', 'hybridized', 'oxygencopper', 'bands', 'and', 'between', 'oxygencopper', 'and', 'unoccupied', 'ti', '3d', 'bands', 'the', 'unusually', 'small', 'band', 'gap', 'determined', 'from', 'the', 'dcconductivity', '200', 'mev', 'compares', 'well', 'with', 'the', 'optical', 'results']] | [-0.11936683580487235, 0.2210977723454042, 0.025445670874822617, -0.002858482613061954, -0.032321705675453165, -0.15701693159228722, 0.14195440791497407, 0.4797594797730978, -0.20463850251897903, -0.31354924218196956, 0.007137468544117708, -0.37647883258094744, -0.08907378911161297, 0.17184491476967065, 0.07960355220296021, 0.006420860004644575, -0.008973606383993424, -0.0879648128881984, -0.10069281919693042, -0.07974177016668753, 0.2393667644584119, 0.04918285393172742, 0.3062547780147205, 0.12484921971398373, 0.03311327515777001, -0.041390071115789136, 0.07944540974650798, 0.004614699814867761, -0.1765232316251318, 0.04035864668341154, 0.30746603402492056, -0.13846486400871072, 0.17704892873630992, -0.3997356237960048, -0.19369977089809254, -0.0546664030760959, 0.11833334403802707, 0.11389815216430829, -0.029493162177719308, -0.2679119050901915, 0.026150585767546936, -0.06899169627078143, -0.12307605168462032, -0.0732312294442506, -0.020620632571600645, 0.016611653022534614, -0.17200434740516357, 0.12033764987583188, -0.030417183689548568, 0.1415436862246549, -0.1779359574679152, -0.20763904897155175, -0.11523678966789573, 0.06837230833064366, 0.01639249679699008, -0.0038478727718549116, 0.1652676659453261, -0.05013013011193834, -0.09287951716812261, 0.4004949609017266, -0.0868520325062231, -0.009651741288117981, 0.20156902180315228, -0.22247765289336843, -0.02957059772701801, 0.21979407833246764, 0.08191081215669069, 0.0798482733329625, -0.0995326184077255, 0.06709207514177251, 0.04912979545354444, 0.20394211616699717, 0.10214695319882594, 0.1758953311343378, 0.23100451098538802, 0.15159658992264927, -0.049695116110212566, 0.12926643975775473, -0.1389102788598393, 0.025824578616136153, -0.2048181285582749, -0.10887485726561863, -0.252631729768057, 0.030045473607190485, -0.06911907539532487, -0.19256687544319512, 0.42564261851033997, 0.055814519071386064, 0.18276740999343538, -0.03647820065192978, 0.2590242208867234, 0.09607510479171262, 0.06406255892112053, 0.07332772633110705, 0.3169816399292488, 0.17463103651659498, 0.1434041373265375, -0.29194812154621885, -0.0028685717718742254, -0.049054545398186225] |
709.1066 | Direct measurements of the effects of salt and surfactant on interaction
forces between colloidal particles at water-oil interfaces | The forces between colloidal particles at a decane-water interface, in the
presence of low concentrations of a monovalent salt (NaCl) and of the
surfactant sodium dodecylsulfate (SDS) in the aqueous subphase, have been
studied using laser tweezers. In the absence of electrolyte and surfactant,
particle interactions exhibit a long-range repulsion, yet the variation of the
interaction for different particle pairs is found to be considerable. Averaging
over several particle pairs was hence found to be necessary to obtain reliable
assessment of the effects of salt and surfactant. It has previously been
suggested that the repulsion is consistent with electrostatic interactions
between a small number of dissociated charges in the oil phase, leading to a
decay with distance to the power -4 and an absence of any effect of electrolyte
concentration. However, the present work demonstrates that increasing the
electrolyte concentration does yield, on average, a reduction of the magnitude
of the interaction force with electrolyte concentration. This implies that
charges on the water side also contribute significantly to the electrostatic
interactions. An increase in the concentration of SDS leads to a similar
decrease of the interaction force. Moreover the repulsion at fixed SDS
concentrations decreases over longer times. Finally, measurements of three-body
interactions provide insight into the anisotropic nature of the interactions.
The unique time-dependent and anisotropic interactions between particles at the
oil-water interface allow tailoring of the aggregation kinetics and structure
of the suspension structure.
| cond-mat.soft | the forces between colloidal particles at a decanewater interface in the presence of low concentrations of a monovalent salt nacl and of the surfactant sodium dodecylsulfate sds in the aqueous subphase have been studied using laser tweezers in the absence of electrolyte and surfactant particle interactions exhibit a longrange repulsion yet the variation of the interaction for different particle pairs is found to be considerable averaging over several particle pairs was hence found to be necessary to obtain reliable assessment of the effects of salt and surfactant it has previously been suggested that the repulsion is consistent with electrostatic interactions between a small number of dissociated charges in the oil phase leading to a decay with distance to the power 4 and an absence of any effect of electrolyte concentration however the present work demonstrates that increasing the electrolyte concentration does yield on average a reduction of the magnitude of the interaction force with electrolyte concentration this implies that charges on the water side also contribute significantly to the electrostatic interactions an increase in the concentration of sds leads to a similar decrease of the interaction force moreover the repulsion at fixed sds concentrations decreases over longer times finally measurements of threebody interactions provide insight into the anisotropic nature of the interactions the unique timedependent and anisotropic interactions between particles at the oilwater interface allow tailoring of the aggregation kinetics and structure of the suspension structure | [['the', 'forces', 'between', 'colloidal', 'particles', 'at', 'a', 'decanewater', 'interface', 'in', 'the', 'presence', 'of', 'low', 'concentrations', 'of', 'a', 'monovalent', 'salt', 'nacl', 'and', 'of', 'the', 'surfactant', 'sodium', 'dodecylsulfate', 'sds', 'in', 'the', 'aqueous', 'subphase', 'have', 'been', 'studied', 'using', 'laser', 'tweezers', 'in', 'the', 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709.1067 | Wrong Priors | All priors are not created equal. There are right and there are wrong priors.
That is the main conclusion of this contribution. I use, a cooked-up example
designed to create drama, and a typical textbook example to show the
pervasiveness of wrong priors in standard statistical practice.
| physics.data-an | all priors are not created equal there are right and there are wrong priors that is the main conclusion of this contribution i use a cookedup example designed to create drama and a typical textbook example to show the pervasiveness of wrong priors in standard statistical practice | [['all', 'priors', 'are', 'not', 'created', 'equal', 'there', 'are', 'right', 'and', 'there', 'are', 'wrong', 'priors', 'that', 'is', 'the', 'main', 'conclusion', 'of', 'this', 'contribution', 'i', 'use', 'a', 'cookedup', 'example', 'designed', 'to', 'create', 'drama', 'and', 'a', 'typical', 'textbook', 'example', 'to', 'show', 'the', 'pervasiveness', 'of', 'wrong', 'priors', 'in', 'standard', 'statistical', 'practice']] | [-0.02395846354446131, 0.0761972743531932, -0.0883235355798641, 0.15889379055158276, -0.12977946078931185, -0.18263281288597247, 0.016458428181383922, 0.42550869107894274, -0.24580864405826383, -0.3097990838729817, 0.11777449525518181, -0.2980080437036636, -0.15027326033653124, 0.17598754518827342, -0.12863158724149285, -0.023194543635168964, 0.06272142640132781, 0.030276716079400932, -0.04217747278491278, -0.26145325738774694, 0.30317317564850266, 0.002580300297426141, 0.2809679846724738, 0.020143202708467194, 0.06631789552351541, -0.06111812125891447, -0.05595503366835739, -0.003169581051106038, -0.10954049556170029, 0.10161339457187316, 0.2636327960164003, 0.18931247123881526, 0.32935890871221607, -0.3672949970173447, -0.15821970387807358, 0.14661511016564202, 0.12367623332766411, 0.11233151220190137, -0.0843793521432773, -0.2319059652559783, 0.08685585323964125, -0.17233111567633308, -0.0689705686400766, -0.08330303914440067, 0.012989272039545618, -0.017191782613973253, -0.2650840119155043, 0.05914498040574077, 0.11263324453940858, 0.049635572844873306, 0.01139493241055828, -0.17941895206256406, 0.01970622291707474, 0.12677690484459794, 0.1069769375582995, 0.014311244124141724, 0.11052131499973653, -0.1200654388597721, -0.08832279061797359, 0.4171231942980186, -0.02726330571686444, -0.23696882939776, 0.2101305080982654, -0.11218864527409492, -0.1272922910284251, 0.04272497354237282, 0.10043342703062555, 0.06421744438779095, -0.1400070847214564, 0.045860610828917146, -0.024993846711763384, 0.1607305865086939, 0.05747087750300441, -0.05471953362449194, 0.20494075415089077, 0.10467505754660004, 0.021507349878843146, 0.06581884873626025, -0.02923537473298379, -0.06818143275323445, -0.37661878108654334, -0.10115375597556324, -0.1920056758149851, 0.043383002960067446, -0.01761188272971397, -0.2083148153539261, 0.3294294715767888, 0.27105517025389103, 0.180204047942939, 0.007630200327738472, 0.28673609087000723, 0.06963147312964556, 0.061073532479855676, 0.05842512866239185, 0.2493858213091026, 0.04242076712619999, 0.03694661107400189, -0.06136464382238362, 0.09148767139033778, -0.05780187741164928] |
709.1068 | Semilocal convergence of two iterative methods for simultaneous
computation of polynomial zeros | In this paper we study some iterative methods for simultaneous approximation
of polynomial zeros. We give new semilocal convergence theorems with error
bounds for Ehrlich's and Nourein's iterations. Our theorems generalize and
improve recent results of Zheng and Huang [J. Comput. Math. 18 (2000),
113--122], Petkovi\'c and Herceg [J. Comput. Appl. Math. 136 (2001), 283--307]
and Nedi\'c [Novi Sad J. Math. 31 (2001), 103--111]. We also present a new
sufficient condition for simple zeros of a polynomial.
| math.NA | in this paper we study some iterative methods for simultaneous approximation of polynomial zeros we give new semilocal convergence theorems with error bounds for ehrlichs and noureins iterations our theorems generalize and improve recent results of zheng and huang j comput math 18 2000 113122 petkovic and herceg j comput appl math 136 2001 283307 and nedic novi sad j math 31 2001 103111 we also present a new sufficient condition for simple zeros of a polynomial | [['in', 'this', 'paper', 'we', 'study', 'some', 'iterative', 'methods', 'for', 'simultaneous', 'approximation', 'of', 'polynomial', 'zeros', 'we', 'give', 'new', 'semilocal', 'convergence', 'theorems', 'with', 'error', 'bounds', 'for', 'ehrlichs', 'and', 'noureins', 'iterations', 'our', 'theorems', 'generalize', 'and', 'improve', 'recent', 'results', 'of', 'zheng', 'and', 'huang', 'j', 'comput', 'math', '18', '2000', '113122', 'petkovic', 'and', 'herceg', 'j', 'comput', 'appl', 'math', '136', '2001', '283307', 'and', 'nedic', 'novi', 'sad', 'j', 'math', '31', '2001', '103111', 'we', 'also', 'present', 'a', 'new', 'sufficient', 'condition', 'for', 'simple', 'zeros', 'of', 'a', 'polynomial']] | [-0.027482637721631262, -0.04470912729933237, -0.06080986016442896, -0.01059278419739308, -0.09031324551647736, -0.1108796404409481, 0.12016969276818498, 0.31602270407084787, -0.14605434020308572, -0.36541992709195864, 0.10928501444221991, -0.2359843404394471, -0.18635439893437755, 0.18658998683289005, -0.20186539341617996, 0.05929893226776686, 0.06583761656656861, -0.1560214958153665, -0.11541370499051279, -0.3752139094544368, 0.14883782031635442, 0.07792364056998242, 0.17955355383350657, 0.11316715053787145, 0.07502465657307766, 0.057595876630835444, -0.14518957019511922, -0.09233611361641023, -0.28076367488312015, 0.1252771119017982, 0.29475869599264115, 0.06943140971189779, 0.2877491302658907, -0.3502290882816952, -0.12019293206200625, 0.1407725646212283, 0.05012179591317868, 0.04762377220645754, 0.049105862996334, -0.2867064606010293, 0.12201190359175801, -0.16055037558544427, -0.10095614338448892, -0.1275589746138495, 0.15656214233280885, 0.06706922689853753, -0.3809667794137365, 0.19773518596412032, 0.21450496270255018, 0.18298797507304698, 0.015323265746701509, -0.2441659100457198, 0.0353098442137707, -0.044566242392951004, -0.06287770666595963, 0.07738205677661528, -0.0066882856303386185, -0.006235709591742812, -0.21701753543068966, 0.23888733028434217, -0.045635947233272925, -0.13682834219394457, 0.24588072566823233, -0.01057064269358913, -0.2265740890159375, 0.0906721659638505, 0.1608163610346512, 0.16346463132908362, -0.10485141245104994, 0.20287095160569557, -0.15813346477484125, 0.06617365943788577, 0.23064455057546082, -0.07041279330021805, 0.00504084606654942, -0.009916784235429077, 0.042690301947813064, 0.06211537749105547, -0.04933407105919388, -0.08202567908705936, -0.29345287453704966, -0.19837857112805876, -0.1729841536661196, 0.07981024253078634, -0.04757412542332733, -0.07169988800402886, 0.37580233400998014, 0.1609409009753209, 0.12598186670543832, 0.12434115956340167, 0.11523212074017566, 0.11450834994401601, -0.14360303248071837, 0.29196120286360383, 0.21157241956300116, 0.25300593970395213, 0.17740730720106512, -0.11060419546750684, -0.10899497581380678, 0.21181965393609264] |
709.1069 | A Compromise between Neutrino Masses and Collider Signatures in the
Type-II Seesaw Model | A natural extension of the standard $SU(2)_{\rm L} \times U(1)_{\rm Y}$ gauge
model to accommodate massive neutrinos is to introduce one Higgs triplet and
three right-handed Majorana neutrinos, leading to a $6\times 6$ neutrino mass
matrix which contains three $3\times 3$ sub-matrices $M_{\rm L}$, $M_{\rm D}$
and $M_{\rm R}$. We show that three light Majorana neutrinos (i.e., the mass
eigenstates of $\nu_e$, $\nu_\mu$ and $\nu_\tau$) are exactly massless in this
model, if and only if $M_{\rm L} = M_{\rm D} M_{\rm R}^{-1} M_{\rm D}^T$
exactly holds. This no-go theorem implies that small but non-vanishing neutrino
masses may result from a significant but incomplete cancellation between
$M_{\rm L}$ and $M_{\rm D} M_{\rm R}^{-1} M_{\rm D}^T$ terms in the Type-II
seesaw formula, provided three right-handed Majorana neutrinos are of ${\cal
O}(1)$ TeV and experimentally detectable at the LHC. We propose three simple
Type-II seesaw scenarios with the $A_4 \times U(1)_{\rm X}$ flavor symmetry to
interpret the observed neutrino mass spectrum and neutrino mixing pattern. Such
a TeV-scale neutrino model can be tested in two complementary ways: (1)
searching for possible collider signatures of lepton number violation induced
by the right-handed Majorana neutrinos and doubly-charged Higgs particles; and
(2) searching for possible consequences of unitarity violation of the $3\times
3$ neutrino mixing matrix in the future long-baseline neutrino oscillation
experiments.
| hep-ph hep-ex | a natural extension of the standard su2_rm l times u1_rm y gauge model to accommodate massive neutrinos is to introduce one higgs triplet and three righthanded majorana neutrinos leading to a 6times 6 neutrino mass matrix which contains three 3times 3 submatrices m_rm l m_rm d and m_rm r we show that three light majorana neutrinos ie the mass eigenstates of nu_e nu_mu and nu_tau are exactly massless in this model if and only if m_rm l m_rm d m_rm r1 m_rm dt exactly holds this nogo theorem implies that small but nonvanishing neutrino masses may result from a significant but incomplete cancellation between m_rm l and m_rm d m_rm r1 m_rm dt terms in the typeii seesaw formula provided three righthanded majorana neutrinos are of cal o1 tev and experimentally detectable at the lhc we propose three simple typeii seesaw scenarios with the a_4 times u1_rm x flavor symmetry to interpret the observed neutrino mass spectrum and neutrino mixing pattern such a tevscale neutrino model can be tested in two complementary ways 1 searching for possible collider signatures of lepton number violation induced by the righthanded majorana neutrinos and doublycharged higgs particles and 2 searching for possible consequences of unitarity violation of the 3times 3 neutrino mixing matrix in the future longbaseline neutrino oscillation experiments | [['a', 'natural', 'extension', 'of', 'the', 'standard', 'su2_rm', 'l', 'times', 'u1_rm', 'y', 'gauge', 'model', 'to', 'accommodate', 'massive', 'neutrinos', 'is', 'to', 'introduce', 'one', 'higgs', 'triplet', 'and', 'three', 'righthanded', 'majorana', 'neutrinos', 'leading', 'to', 'a', '6times', '6', 'neutrino', 'mass', 'matrix', 'which', 'contains', 'three', '3times', '3', 'submatrices', 'm_rm', 'l', 'm_rm', 'd', 'and', 'm_rm', 'r', 'we', 'show', 'that', 'three', 'light', 'majorana', 'neutrinos', 'ie', 'the', 'mass', 'eigenstates', 'of', 'nu_e', 'nu_mu', 'and', 'nu_tau', 'are', 'exactly', 'massless', 'in', 'this', 'model', 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709.107 | A Synthetical Weights' Dynamic Mechanism for Weighted Networks | We propose a synthetical weights' dynamic mechanism for weighted networks
which takes into account the influences of strengths of nodes, weights of links
and incoming new vertices. Strength/Weight preferential strategies are used in
these weights' dynamic mechanisms, which depict the evolving strategies of many
real-world networks. We give insight analysis to the synthetical weights'
dynamic mechanism and study how individual weights' dynamic strategies interact
and cooperate with each other in the networks' evolving process. Power-law
distributions of strength, degree and weight, nontrivial strength-degree
correlation, clustering coefficients and assortativeness are found in the model
with tunable parameters representing each model. Several homogenous
functionalities of these independent weights' dynamic strategy are generalized
and their synergy are studied.
| physics.soc-ph | we propose a synthetical weights dynamic mechanism for weighted networks which takes into account the influences of strengths of nodes weights of links and incoming new vertices strengthweight preferential strategies are used in these weights dynamic mechanisms which depict the evolving strategies of many realworld networks we give insight analysis to the synthetical weights dynamic mechanism and study how individual weights dynamic strategies interact and cooperate with each other in the networks evolving process powerlaw distributions of strength degree and weight nontrivial strengthdegree correlation clustering coefficients and assortativeness are found in the model with tunable parameters representing each model several homogenous functionalities of these independent weights dynamic strategy are generalized and their synergy are studied | [['we', 'propose', 'a', 'synthetical', 'weights', 'dynamic', 'mechanism', 'for', 'weighted', 'networks', 'which', 'takes', 'into', 'account', 'the', 'influences', 'of', 'strengths', 'of', 'nodes', 'weights', 'of', 'links', 'and', 'incoming', 'new', 'vertices', 'strengthweight', 'preferential', 'strategies', 'are', 'used', 'in', 'these', 'weights', 'dynamic', 'mechanisms', 'which', 'depict', 'the', 'evolving', 'strategies', 'of', 'many', 'realworld', 'networks', 'we', 'give', 'insight', 'analysis', 'to', 'the', 'synthetical', 'weights', 'dynamic', 'mechanism', 'and', 'study', 'how', 'individual', 'weights', 'dynamic', 'strategies', 'interact', 'and', 'cooperate', 'with', 'each', 'other', 'in', 'the', 'networks', 'evolving', 'process', 'powerlaw', 'distributions', 'of', 'strength', 'degree', 'and', 'weight', 'nontrivial', 'strengthdegree', 'correlation', 'clustering', 'coefficients', 'and', 'assortativeness', 'are', 'found', 'in', 'the', 'model', 'with', 'tunable', 'parameters', 'representing', 'each', 'model', 'several', 'homogenous', 'functionalities', 'of', 'these', 'independent', 'weights', 'dynamic', 'strategy', 'are', 'generalized', 'and', 'their', 'synergy', 'are', 'studied']] | [-0.1556048813663357, 0.1327119272334122, -0.055701136646742845, 0.05850548123942693, -0.10755861137449675, -0.21682953140162656, 0.06168121193840572, 0.47562643094400386, -0.33070757285386854, -0.30325320008647655, -0.0020669713787388353, -0.25066636154114935, -0.21854013619960938, 0.10462269334913751, 0.011041907956246782, 0.026323257541630122, 0.050926356539295045, 0.011391061959804686, 0.023763306323537785, -0.25792765977124854, 0.32193805953586657, 0.054002145996556276, 0.3124927266509132, 0.020937769294642243, 0.08976196798967791, 0.013734666539966005, -0.0988338723247129, 0.03944490434688442, -0.13373325265680266, 0.1300802092043172, 0.2276315943057756, 0.11857321282143785, 0.29790613801523513, -0.44992083782511477, -0.24048994883350963, 0.14826205629954295, 0.11040620197978827, 0.06138102034600328, 0.029582779969921154, -0.25574814154461556, 0.0787775655569657, -0.15153138918415293, -0.07921515267540132, -0.09536089948625757, -0.015051774033633745, 0.12700767098695237, -0.3173720317179815, 0.03008672933349699, 0.045857766595776235, 0.0010047844833636706, -0.10436490233740316, -0.1695871974436352, -0.03985106886933203, 0.19455788193056278, -0.006758702455543855, -0.06925577455843114, 0.13096516337286912, -0.15233289752880821, -0.18609885026987197, 0.3187472252092794, 0.0271491758706691, -0.21552621155762963, 0.19916235108291153, -0.04006844799372211, -0.13776068509745915, 0.08770509614749292, 0.25466901258425373, 0.09529145897069402, -0.1596886783887723, -0.0034545088151832467, 0.008546236968409698, 0.11971723881706728, 0.0334377921128695, 0.08041968391136786, 0.19421674635887673, 0.14888357766697893, 0.0334999638365425, 0.14306379296864274, -0.0489875241976017, -0.14905220207519235, -0.215051042344586, -0.055918355291066445, -0.13127814770667953, -0.017354327197335002, -0.20123087436262627, -0.1488997162426863, 0.44501189711973466, 0.14051149484899259, 0.2551182127301169, 0.08184866975803357, 0.26342823169301305, 0.0885184448772827, 0.08833872248929621, 0.06853565611604569, 0.16370154467650352, 0.08783557382412255, 0.09329728626201045, -0.1623475912142446, 0.14073310443328949, 0.039422860867714724] |
709.1071 | Maximum Entropy Principle for the Microcanonical Ensemble | We derive the microcanonical ensemble from the Maximum Entropy Principle
(MEP) using the phase space volume entropy of P. Hertz. Maximizing this entropy
with respect to the probability distribution with the constraints of
normalization and average energy, we obtain the condition of constant energy.
This approach is complementary to the traditional derivation of the
microcanonical ensemble from the MEP using Shannon entropy and assuming a
priori that the energy is constant which results in equal probabilities.
| cond-mat.stat-mech | we derive the microcanonical ensemble from the maximum entropy principle mep using the phase space volume entropy of p hertz maximizing this entropy with respect to the probability distribution with the constraints of normalization and average energy we obtain the condition of constant energy this approach is complementary to the traditional derivation of the microcanonical ensemble from the mep using shannon entropy and assuming a priori that the energy is constant which results in equal probabilities | [['we', 'derive', 'the', 'microcanonical', 'ensemble', 'from', 'the', 'maximum', 'entropy', 'principle', 'mep', 'using', 'the', 'phase', 'space', 'volume', 'entropy', 'of', 'p', 'hertz', 'maximizing', 'this', 'entropy', 'with', 'respect', 'to', 'the', 'probability', 'distribution', 'with', 'the', 'constraints', 'of', 'normalization', 'and', 'average', 'energy', 'we', 'obtain', 'the', 'condition', 'of', 'constant', 'energy', 'this', 'approach', 'is', 'complementary', 'to', 'the', 'traditional', 'derivation', 'of', 'the', 'microcanonical', 'ensemble', 'from', 'the', 'mep', 'using', 'shannon', 'entropy', 'and', 'assuming', 'a', 'priori', 'that', 'the', 'energy', 'is', 'constant', 'which', 'results', 'in', 'equal', 'probabilities']] | [-0.06402568858558018, 0.12112679086797136, -0.14454287153938294, 0.07034803027483194, 0.01203260994761398, -0.10451970716913868, 0.13336986653034968, 0.2774486534640585, -0.2671451184923123, -0.3012372861764896, 0.03530676163408268, -0.30346780467631396, -0.05152999977336118, 0.12261328563449513, -0.05444140805813827, 0.11780600785277784, 0.06751064246667451, 0.14950348441734126, -0.11176912206237351, -0.20502394825636752, 0.33696151016537396, 0.14954405157875858, 0.3279226269867075, 0.06995961529594895, 0.1397029601380621, 0.009917810887073804, 0.01987393443510212, 0.05496166718435952, -0.22866797353201132, 0.16501521782361364, 0.1903314855207052, 0.19881294217990025, 0.23754840785343395, -0.3335418494197687, -0.23068548469363073, 0.18845986888596886, 0.027462500372693238, 0.10640307506515742, 0.030753296922500197, -0.21652935286003508, 0.04814027091733327, -0.17575112048928676, -0.09585289957957636, -0.041721216721558256, -0.028542374554825455, 0.053027788125052065, -0.2851652768808172, 0.1839523207102167, 0.04438301222398877, 0.020293588786827105, -0.09650774779545732, -0.12763271152997682, -0.016651941696181893, 0.07654985248135697, 0.08596068044119563, 0.03325603830039894, 0.14448214066827572, -0.047787129995413125, -0.05680796301825658, 0.32307370252123, -0.10509413946419954, -0.22365614255939267, 0.11114040798948784, -0.1065844040560095, -0.10247430320535052, 0.13281919137501208, 0.09483617891428846, 0.12458478955944118, -0.1727993071177288, 0.07631755090704628, -0.00769645929042446, 0.17147225541013636, 0.07293248063835658, 0.04721475836796392, 0.19147826190792808, 0.08185404685546498, 0.10551188338400894, 0.19149292816368152, -0.10781263262278547, -0.1880618465672198, -0.3450739862593381, -0.21624119347574092, -0.2927977876541646, 0.09454900816720176, -0.14497691285022915, -0.1221783776605949, 0.3276646743026121, 0.12336431849306743, 0.20498370300782354, 0.1453607109341599, 0.29318484759546426, 0.20445460092129283, -0.0020018087356890504, 0.11109257108948536, 0.24850845675131208, 0.1487757338848161, 0.0764820062016186, -0.24987843314700417, 0.03474673859186863, 0.12789160682893308] |
709.1072 | Total angular momentum from Dirac eigenspinors | The eigenvalue problem for Dirac operators, constructed from two connections
on the spinor bundle over closed spacelike 2-surfaces, is investigated. A class
of divergence free vector fields, built from the eigenspinors, are found,
which, for the lowest eigenvalue, reproduce the rotation Killing vectors of
metric spheres, and provide rotation BMS vector fields at future null infinity.
This makes it possible to introduce a well defined, gauge invariant spatial
angular momentum at null infinity, which reduces to the standard expression in
stationary spacetimes. The general formula for the angular momentum flux
carried away be the gravitational radiation is also derived.
| gr-qc | the eigenvalue problem for dirac operators constructed from two connections on the spinor bundle over closed spacelike 2surfaces is investigated a class of divergence free vector fields built from the eigenspinors are found which for the lowest eigenvalue reproduce the rotation killing vectors of metric spheres and provide rotation bms vector fields at future null infinity this makes it possible to introduce a well defined gauge invariant spatial angular momentum at null infinity which reduces to the standard expression in stationary spacetimes the general formula for the angular momentum flux carried away be the gravitational radiation is also derived | [['the', 'eigenvalue', 'problem', 'for', 'dirac', 'operators', 'constructed', 'from', 'two', 'connections', 'on', 'the', 'spinor', 'bundle', 'over', 'closed', 'spacelike', '2surfaces', 'is', 'investigated', 'a', 'class', 'of', 'divergence', 'free', 'vector', 'fields', 'built', 'from', 'the', 'eigenspinors', 'are', 'found', 'which', 'for', 'the', 'lowest', 'eigenvalue', 'reproduce', 'the', 'rotation', 'killing', 'vectors', 'of', 'metric', 'spheres', 'and', 'provide', 'rotation', 'bms', 'vector', 'fields', 'at', 'future', 'null', 'infinity', 'this', 'makes', 'it', 'possible', 'to', 'introduce', 'a', 'well', 'defined', 'gauge', 'invariant', 'spatial', 'angular', 'momentum', 'at', 'null', 'infinity', 'which', 'reduces', 'to', 'the', 'standard', 'expression', 'in', 'stationary', 'spacetimes', 'the', 'general', 'formula', 'for', 'the', 'angular', 'momentum', 'flux', 'carried', 'away', 'be', 'the', 'gravitational', 'radiation', 'is', 'also', 'derived']] | [-0.168001395650208, 0.14935991958000067, -0.06144905123257577, 0.13351799033445805, -0.12667278588203845, -0.13597369320617725, -0.03675744458186356, 0.3341194275728982, -0.23900719361868922, -0.2192498689395084, 0.04644092257843691, -0.26114965768324006, -0.08411989833272093, 0.15999875096322008, 0.005194423033507785, 0.0717632524566866, 0.029086473226227393, 0.11855449461445185, -0.11938360748833722, -0.19706058576397334, 0.4090196453787462, 0.06288549910308887, 0.31489542384415564, 0.008058815634726532, 0.18705060289387188, 0.009847720576958223, -0.03875927354157385, 0.0057725503269319585, -0.11457472542892304, 0.06582993391143967, 0.22403307678648318, 0.09196804720094671, 0.1686584338724538, -0.3733593620585673, -0.20816620908832797, 0.11798416411109043, 0.1526212117898118, 0.08302235000795036, 0.002493442460715846, -0.2978335911539769, 0.04695319689309337, -0.1091300118432352, -0.23215067512038248, -0.0839868097876509, 0.02290907727008817, -0.05463588704834833, -0.24166491381692315, 0.08152194052077406, 0.04951945166785571, 0.06277711111628874, -0.12024070647535752, -0.11561895286337463, -0.09001194093272918, 0.06663080505236532, 0.13461183378886846, 0.07818122962113432, 0.1180045111387065, -0.0581498619032591, -0.08651007171202865, 0.3475790058610716, -0.06801518669935187, -0.3384827909158599, 0.08782611156794985, -0.19047994763976095, -0.083800323994247, 0.14710323441529063, 0.14804101050972487, 0.1652359766180091, -0.1507051730001665, 0.15827077733425687, -0.038052636734915504, 0.02649302851182945, 0.14881812280156848, 0.014526171314605332, 0.27230336238639524, 0.010613820379167194, 0.08463174955110357, 0.12744218997558523, -0.09560829322230109, -0.12665477855074586, -0.3746430165689401, -0.19109635437001485, -0.18304036512989738, 0.12787905481239462, -0.10942798632775043, -0.17146570060022628, 0.3654318392262653, 0.06690901743760803, 0.1919626903677867, 0.10640823600503306, 0.25176950529067205, 0.13239408094515892, 0.11042272696045763, 0.1294814474748993, 0.26113504641736396, 0.20067681881570906, 0.11364364595213586, -0.19908859777426574, -0.0863043965696536, 0.09885222182580919] |
709.1073 | On the Metallicity-Color Relations and Bimodal Color Distributions in
Extragalactic Globular Cluster Systems | We perform a series of numerical experiments to study how the nonlinear
metallicity--color relations predicted by different stellar population models
affect the color distributions observed in extragalactic globular cluster
systems. % We present simulations in the $UBVRIJHK$ bandpasses based on five
different sets of simple stellar population (SSP) models. The presence of
photometric scatter in the colors is included as well. % We find that unimodal
metallicity distributions frequently ``project'' into bimodal color
distributions. The likelihood of this effect depends on both the mean and
dispersion of the metallicity distribution, as well as of course on the SSP
model used for the transformation. % Adopting the Teramo-SPoT SSP models for
reference, we find that optical--to--near-IR colors should be favored with
respect to other colors to avoid the bias effect in globular cluster color
distributions discussed by \citet{yoon06}. In particular, colors such as \vh\
or \vk are more robust against nonlinearity of the metallicity--color relation,
and an observed bimodal distribution in such colors is more likely to indicate
a true underlying bimodal metallicity distribution. Similar conclusions come
from the simulations based on different SSP models, although we also identify
exceptions to this result.
| astro-ph | we perform a series of numerical experiments to study how the nonlinear metallicitycolor relations predicted by different stellar population models affect the color distributions observed in extragalactic globular cluster systems we present simulations in the ubvrijhk bandpasses based on five different sets of simple stellar population ssp models the presence of photometric scatter in the colors is included as well we find that unimodal metallicity distributions frequently project into bimodal color distributions the likelihood of this effect depends on both the mean and dispersion of the metallicity distribution as well as of course on the ssp model used for the transformation adopting the teramospot ssp models for reference we find that opticaltonearir colors should be favored with respect to other colors to avoid the bias effect in globular cluster color distributions discussed by citetyoon06 in particular colors such as vh or vk are more robust against nonlinearity of the metallicitycolor relation and an observed bimodal distribution in such colors is more likely to indicate a true underlying bimodal metallicity distribution similar conclusions come from the simulations based on different ssp models although we also identify exceptions to this result | [['we', 'perform', 'a', 'series', 'of', 'numerical', 'experiments', 'to', 'study', 'how', 'the', 'nonlinear', 'metallicitycolor', 'relations', 'predicted', 'by', 'different', 'stellar', 'population', 'models', 'affect', 'the', 'color', 'distributions', 'observed', 'in', 'extragalactic', 'globular', 'cluster', 'systems', 'we', 'present', 'simulations', 'in', 'the', 'ubvrijhk', 'bandpasses', 'based', 'on', 'five', 'different', 'sets', 'of', 'simple', 'stellar', 'population', 'ssp', 'models', 'the', 'presence', 'of', 'photometric', 'scatter', 'in', 'the', 'colors', 'is', 'included', 'as', 'well', 'we', 'find', 'that', 'unimodal', 'metallicity', 'distributions', 'frequently', 'project', 'into', 'bimodal', 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709.1074 | Johnson Type Bounds on Constant Dimension Codes | Very recently, an operator channel was defined by Koetter and Kschischang
when they studied random network coding. They also introduced constant
dimension codes and demonstrated that these codes can be employed to correct
errors and/or erasures over the operator channel. Constant dimension codes are
equivalent to the so-called linear authentication codes introduced by Wang,
Xing and Safavi-Naini when constructing distributed authentication systems in
2003. In this paper, we study constant dimension codes. It is shown that
Steiner structures are optimal constant dimension codes achieving the
Wang-Xing-Safavi-Naini bound. Furthermore, we show that constant dimension
codes achieve the Wang-Xing-Safavi-Naini bound if and only if they are certain
Steiner structures. Then, we derive two Johnson type upper bounds, say I and
II, on constant dimension codes. The Johnson type bound II slightly improves on
the Wang-Xing-Safavi-Naini bound. Finally, we point out that a family of known
Steiner structures is actually a family of optimal constant dimension codes
achieving both the Johnson type bounds I and II.
| cs.IT math.IT | very recently an operator channel was defined by koetter and kschischang when they studied random network coding they also introduced constant dimension codes and demonstrated that these codes can be employed to correct errors andor erasures over the operator channel constant dimension codes are equivalent to the socalled linear authentication codes introduced by wang xing and safavinaini when constructing distributed authentication systems in 2003 in this paper we study constant dimension codes it is shown that steiner structures are optimal constant dimension codes achieving the wangxingsafavinaini bound furthermore we show that constant dimension codes achieve the wangxingsafavinaini bound if and only if they are certain steiner structures then we derive two johnson type upper bounds say i and ii on constant dimension codes the johnson type bound ii slightly improves on the wangxingsafavinaini bound finally we point out that a family of known steiner structures is actually a family of optimal constant dimension codes achieving both the johnson type bounds i and ii | [['very', 'recently', 'an', 'operator', 'channel', 'was', 'defined', 'by', 'koetter', 'and', 'kschischang', 'when', 'they', 'studied', 'random', 'network', 'coding', 'they', 'also', 'introduced', 'constant', 'dimension', 'codes', 'and', 'demonstrated', 'that', 'these', 'codes', 'can', 'be', 'employed', 'to', 'correct', 'errors', 'andor', 'erasures', 'over', 'the', 'operator', 'channel', 'constant', 'dimension', 'codes', 'are', 'equivalent', 'to', 'the', 'socalled', 'linear', 'authentication', 'codes', 'introduced', 'by', 'wang', 'xing', 'and', 'safavinaini', 'when', 'constructing', 'distributed', 'authentication', 'systems', 'in', '2003', 'in', 'this', 'paper', 'we', 'study', 'constant', 'dimension', 'codes', 'it', 'is', 'shown', 'that', 'steiner', 'structures', 'are', 'optimal', 'constant', 'dimension', 'codes', 'achieving', 'the', 'wangxingsafavinaini', 'bound', 'furthermore', 'we', 'show', 'that', 'constant', 'dimension', 'codes', 'achieve', 'the', 'wangxingsafavinaini', 'bound', 'if', 'and', 'only', 'if', 'they', 'are', 'certain', 'steiner', 'structures', 'then', 'we', 'derive', 'two', 'johnson', 'type', 'upper', 'bounds', 'say', 'i', 'and', 'ii', 'on', 'constant', 'dimension', 'codes', 'the', 'johnson', 'type', 'bound', 'ii', 'slightly', 'improves', 'on', 'the', 'wangxingsafavinaini', 'bound', 'finally', 'we', 'point', 'out', 'that', 'a', 'family', 'of', 'known', 'steiner', 'structures', 'is', 'actually', 'a', 'family', 'of', 'optimal', 'constant', 'dimension', 'codes', 'achieving', 'both', 'the', 'johnson', 'type', 'bounds', 'i', 'and', 'ii']] | [-0.17956085484746295, 0.10570911145877976, -0.0020412388543364097, 0.08754515157444002, -0.02625020038753611, -0.3134945924422401, 0.07700171614811396, 0.3564574066492403, -0.29876836032629517, -0.26321299911524526, 0.14465658326541855, -0.23483109128221505, -0.201983396281014, 0.186787412988959, -0.1475306733217136, 0.08374021210610592, 0.052152815003496555, 0.027575696174318164, -0.09039141443498044, -0.4075937139361731, 0.32874003300469, 0.1356887458795053, 0.26342408499606185, 0.033804004597677594, 0.06727239915221198, -0.023195035144275317, -0.04281333640240636, 0.0351647912728903, -0.23662013207877233, 0.0935719371844723, 0.2484136686854613, 0.13551616561427668, 0.1858173203111792, -0.297351663407264, -0.21109039156463433, 0.11664867788578949, 0.15102241762793778, 0.13747741811354558, -0.029382795056876687, -0.22206020364366427, 0.14151798687201061, -0.1614769179333984, -0.0579217650343384, -0.02491007045345621, 0.05385971662125613, -0.003906342230931473, -0.30377277858738155, -0.02089396682357204, 0.1224485641985309, 0.030510016395446152, -0.0340097178762173, -0.16297192053235154, 0.017720311191618626, 0.07167756633991604, -0.05517658112182116, 0.02529695970177696, 0.035950836930509676, -0.03955283458416059, -0.12802884136069498, 0.30275393141922113, -0.06608715501186821, -0.2180306640870732, 0.13581750221890426, -0.05920049298748922, -0.11812951160234862, 0.08501668153844912, 0.18480203598109216, 0.10248443510017695, -0.10065264947104634, 0.16769600526838238, -0.08990427036198324, 0.16672005935267123, 0.15413729503945064, 0.09641254950669005, 0.043402926838154006, 0.01783896788120544, 0.10777546059728765, 0.10896288437206024, -0.048194209867916955, -0.06280920838228672, -0.25124725572010675, -0.1173476917952002, -0.1797700872804764, 0.05366365417146747, -0.11864371890108603, -0.1519863247431092, 0.3081456101013839, 0.06226176905382905, 0.13865148132678373, 0.11387002891346674, 0.24049161008039227, 0.06757105439987056, 0.08594876271958228, 0.2704401098683111, 0.22580427971834238, 0.16910496258971058, -0.019639871324958178, -0.14053807853852496, 0.07004825939050092, 0.18354946436029088] |
709.1075 | Techniques for the calculation of electroweak radiative corrections at
the one-loop level and results for W-physics at LEP200 | We review the techniques necessary for the calculation of virtual electroweak
and soft photonic corrections at the one-loop level. In particular we describe
renormalization, calculation of one-loop integrals and evaluation of one-loop
Feynman amplitudes. We summarize many explicit results of general relevance. We
give the Feynman rules and the explicit form of the counter terms of the
electroweak standard model, we list analytical expressions for scalar one-loop
integrals and reduction of tensor integrals, we present the decomposition of
the invariant matrix element for processes with two external fermions and we
give the analytic form of soft photonic corrections. These techniques are
applied to physical processes with external W-bosons. We present the full set
of analytical formulae and the corresponding numerical results for the decay
width of the W-boson and the top quark. We discuss the cross section for the
production of W-bosons in e^{+}e^{-}-annihilaton including all O(alpha)
radiative corrections and finite width effects. Improved Born approximations
for these processes are given.
| hep-ph | we review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the oneloop level in particular we describe renormalization calculation of oneloop integrals and evaluation of oneloop feynman amplitudes we summarize many explicit results of general relevance we give the feynman rules and the explicit form of the counter terms of the electroweak standard model we list analytical expressions for scalar oneloop integrals and reduction of tensor integrals we present the decomposition of the invariant matrix element for processes with two external fermions and we give the analytic form of soft photonic corrections these techniques are applied to physical processes with external wbosons we present the full set of analytical formulae and the corresponding numerical results for the decay width of the wboson and the top quark we discuss the cross section for the production of wbosons in eeannihilaton including all oalpha radiative corrections and finite width effects improved born approximations for these processes are given | [['we', 'review', 'the', 'techniques', 'necessary', 'for', 'the', 'calculation', 'of', 'virtual', 'electroweak', 'and', 'soft', 'photonic', 'corrections', 'at', 'the', 'oneloop', 'level', 'in', 'particular', 'we', 'describe', 'renormalization', 'calculation', 'of', 'oneloop', 'integrals', 'and', 'evaluation', 'of', 'oneloop', 'feynman', 'amplitudes', 'we', 'summarize', 'many', 'explicit', 'results', 'of', 'general', 'relevance', 'we', 'give', 'the', 'feynman', 'rules', 'and', 'the', 'explicit', 'form', 'of', 'the', 'counter', 'terms', 'of', 'the', 'electroweak', 'standard', 'model', 'we', 'list', 'analytical', 'expressions', 'for', 'scalar', 'oneloop', 'integrals', 'and', 'reduction', 'of', 'tensor', 'integrals', 'we', 'present', 'the', 'decomposition', 'of', 'the', 'invariant', 'matrix', 'element', 'for', 'processes', 'with', 'two', 'external', 'fermions', 'and', 'we', 'give', 'the', 'analytic', 'form', 'of', 'soft', 'photonic', 'corrections', 'these', 'techniques', 'are', 'applied', 'to', 'physical', 'processes', 'with', 'external', 'wbosons', 'we', 'present', 'the', 'full', 'set', 'of', 'analytical', 'formulae', 'and', 'the', 'corresponding', 'numerical', 'results', 'for', 'the', 'decay', 'width', 'of', 'the', 'wboson', 'and', 'the', 'top', 'quark', 'we', 'discuss', 'the', 'cross', 'section', 'for', 'the', 'production', 'of', 'wbosons', 'in', 'eeannihilaton', 'including', 'all', 'oalpha', 'radiative', 'corrections', 'and', 'finite', 'width', 'effects', 'improved', 'born', 'approximations', 'for', 'these', 'processes', 'are', 'given']] | [-0.11385344076988986, 0.15861375954141294, -0.05745777240081225, 0.14878207502770238, -0.06415775754139759, -0.0643273908237461, 0.07107119885768043, 0.3631732860463671, -0.1726030205070856, -0.25163252954371274, 0.045964927348541094, -0.3051154892425984, -0.11835341452097055, 0.17526274032497896, 0.08104188159632031, 0.11754142028730712, 0.07648733822570648, 0.01166865142295137, -0.10212818938889541, -0.2418804779277707, 0.34212893363437613, 0.0016022379277274013, 0.1935956318571698, 0.1705617240164429, 0.08546604483854026, 0.05201103948056698, -0.1231328670091898, -0.0637333426013356, -0.15546596135827712, 0.1240921342294314, 0.20855044105373963, 0.0596144076786004, 0.12600660640455316, -0.43906364960130306, -0.10318178180168616, 0.07128724611575307, 0.14676758285204414, 0.1694406732072821, -0.030831585872510912, -0.2542114835930988, 0.08578089282673318, -0.22764184972038493, -0.14745286678662523, -0.1620575112712686, -0.003312003720202483, -0.04974740380421281, -0.29559018777799795, 0.04427440692525124, -0.015992957522394137, 0.0379201072268188, -0.045342018151131924, -0.18025856718231809, 0.006136228422110435, 0.1265846945811063, 0.06418371429826948, -0.03256020289172738, 0.13140585612563882, -0.19291236642748116, -0.18893914807631518, 0.3935368884456693, -0.09172547054477036, -0.22681903992779553, 0.11263532219745684, -0.1632286351872608, -0.1411254379330785, 0.1425601273222128, 0.19047079580195714, 0.11401836848963284, -0.15677357579988893, 0.16715967150230426, 0.04084268449805677, 0.06495024048927008, 0.06831049305474153, 0.06001449866053008, 0.13212620434642303, 0.09815377233171603, -0.0606088450356765, 0.15328533076972234, -0.03741032103425823, -0.12281510634202278, -0.48501487674657257, -0.15322351158538366, -0.03396283696856699, 0.03432787978381384, -0.12574422878024052, -0.22537192661548033, 0.3904184255632572, 0.15770169740426354, 0.16262349704538792, 0.09082897876942297, 0.3358818700828124, 0.20676701841812245, 0.0808429499520571, 0.04208507845469285, 0.24232724419707666, 0.17815284171374515, 0.057483568811858274, -0.23703644455963513, -0.014220160513650626, 0.15682379778299946] |
709.1076 | Brane backreactions and the Fischler-Susskind mechanism in conformal
field theory | The backreaction of D-branes on closed string moduli is studied in perturbed
conformal field theory. To this end we analyse the divergences in the modular
integral of the annulus diagram. By the Fischler-Susskind mechanism, these
divergences lead to additional terms in the bulk renormalisation group
equations. We derive explicit expressions for these backreaction terms, and
follow the resulting renormalisation group flow in several examples, finding
agreement with geometric expectations.
| hep-th | the backreaction of dbranes on closed string moduli is studied in perturbed conformal field theory to this end we analyse the divergences in the modular integral of the annulus diagram by the fischlersusskind mechanism these divergences lead to additional terms in the bulk renormalisation group equations we derive explicit expressions for these backreaction terms and follow the resulting renormalisation group flow in several examples finding agreement with geometric expectations | [['the', 'backreaction', 'of', 'dbranes', 'on', 'closed', 'string', 'moduli', 'is', 'studied', 'in', 'perturbed', 'conformal', 'field', 'theory', 'to', 'this', 'end', 'we', 'analyse', 'the', 'divergences', 'in', 'the', 'modular', 'integral', 'of', 'the', 'annulus', 'diagram', 'by', 'the', 'fischlersusskind', 'mechanism', 'these', 'divergences', 'lead', 'to', 'additional', 'terms', 'in', 'the', 'bulk', 'renormalisation', 'group', 'equations', 'we', 'derive', 'explicit', 'expressions', 'for', 'these', 'backreaction', 'terms', 'and', 'follow', 'the', 'resulting', 'renormalisation', 'group', 'flow', 'in', 'several', 'examples', 'finding', 'agreement', 'with', 'geometric', 'expectations']] | [-0.20355928823540825, 0.11757061311273255, -0.14731801438914693, 0.13151162024587393, -0.09065404488448647, -0.07344090369651499, 0.00425058352065853, 0.32624841732499393, -0.2401886801606557, -0.2815538751150387, 0.08321075912807947, -0.2591889053515658, -0.17088797460040211, 0.14013181431421443, -0.09550607846914858, 0.0409651014521934, 0.004927356228016425, 0.03928680064332118, -0.13231405431566678, -0.2567468480261016, 0.3832786760319942, 0.00016609575612929422, 0.26047880272718443, 0.037170403092033295, 0.06916606543666642, 0.002844619136168689, -0.07966560970289983, 0.016927953593540882, -0.2114376634210888, 0.13423624448478222, 0.2514888934514391, -0.015109830583189276, 0.13418281780879782, -0.46921635319249355, -0.21205785167336033, 0.05938478424281314, 0.18155993930185618, 0.12649190734289045, -0.0504689955783576, -0.25302130680369295, 0.0424427335029063, -0.1532864117374023, -0.17292236966634358, -0.10064129592796815, -0.016679399132229173, -0.06551185177396172, -0.1933014467763512, 0.06619729221784983, -0.025484157982619778, 0.0694201749789974, -0.06701793923528622, -0.06047154738959195, -0.023676890923736104, 0.11125234042064867, 0.13208829177597511, 0.03692175006237475, 0.1395325593083449, -0.18875007733257246, -0.05959550653030907, 0.34127523372138757, -0.1008296046891938, -0.2166313921722273, 0.1047112222328998, -0.14241383159938065, -0.15837660728805308, 0.12371205080948446, 0.10762680307422104, 0.1217588662352089, -0.1710629714652896, 0.18748325445483424, -0.03374922992256672, 0.0417603474461298, 0.08468847090135449, 0.035360988997917564, 0.1778965564849584, 0.02233204622483016, -0.0029260677730907564, 0.17337823867041996, 0.021787275725543714, -0.19582924937518933, -0.45043946230325144, -0.1092738099936126, -0.04312574847236923, 0.08997151624087406, -0.1879619914172403, -0.21704932373772928, 0.36339668948473275, 0.14212483620381597, 0.16824716117664956, 0.0806260349303214, 0.21607576494199643, 0.15076158280767823, 0.07183603106903425, 0.08223840001079699, 0.2344980452182716, 0.16464701794641282, 0.03301058042679738, -0.28866739785028755, -0.05399201364607375, 0.19984326190382673] |
709.1077 | Growth of Subharmonic Functions | In this course of lectures we give an account of the growth theory of
subharmonic functions, which is directed towards its applications to entire
functions of one and several complex variables.
| math.CV math.DS | in this course of lectures we give an account of the growth theory of subharmonic functions which is directed towards its applications to entire functions of one and several complex variables | [['in', 'this', 'course', 'of', 'lectures', 'we', 'give', 'an', 'account', 'of', 'the', 'growth', 'theory', 'of', 'subharmonic', 'functions', 'which', 'is', 'directed', 'towards', 'its', 'applications', 'to', 'entire', 'functions', 'of', 'one', 'and', 'several', 'complex', 'variables']] | [-0.13113997935227328, 0.12161402724685162, -0.12187865093320367, 0.05275819991384783, -0.08528235266285558, -0.04451797204092145, -0.016531340285925376, 0.3269154595721874, -0.2764157590366179, -0.23349191338544892, 0.13119753915441013, -0.2227035950749151, -0.1908062761949916, 0.2374594311019586, -0.04479234770576201, 0.0006305404709682109, -0.0004275046709564424, 0.022052732867098624, -0.060042545544884855, -0.3154799017995115, 0.341586725500923, 0.011323879683210004, 0.19349275364901028, 0.09812948942905472, 0.10368062285405974, 0.051961669743421576, -0.030385449708950137, -0.031237439222393498, -0.16584769840682706, 0.18902972926415743, 0.29065961006187624, 0.18292379209906945, 0.35806338344850847, -0.4653487251771073, -0.1998901179571065, 0.10286255421177033, 0.07205493094760083, 0.0852094393696696, -0.005706411185524156, -0.2187502759118234, 0.04843461587123813, -0.11368089800159778, -0.17941744992088887, -0.02761026486874588, 0.07433305455431823, 0.09117959903350341, -0.2356988609798493, 0.03275850484327924, 0.1012921473762441, 0.0909778177437763, -0.07959098189002684, -0.10913650048596243, -0.010456019471729956, 0.17715129899161478, 0.04182202918004365, 0.05084516905668762, 0.09376673259952616, -0.15368688355139906, -0.15143486061283656, 0.3415686869693379, 0.008920277408774822, -0.17021784745156765, 0.16054131592353504, -0.18945177599427201, -0.18029516478700022, 0.11828738589200281, 0.2427361939222582, 0.16202970948671142, -0.161979554671674, 0.063159815814992, -0.009088304284359179, 0.1391964159425228, 0.023819718059272535, 0.026291040102801016, 0.18689087111382716, 0.13605954624231784, 0.07837292717228975, 0.16438091828698112, 0.05512056947355309, -0.12921986470539723, -0.3592063637390252, -0.19056467255277018, -0.13837357328063057, 0.029926597477770562, -0.06849740936764472, -0.2398156879409667, 0.5179546641846818, 0.1029855695462996, 0.21573196543801215, 0.035763202148729994, 0.2320140316000869, 0.18968912965107348, 0.05804105295288947, -0.009662127648029597, 0.1542347530203481, 0.15232540667057037, 0.11648210408466478, -0.1055881411227728, 0.022416091614192533, 0.07215720373055627] |
709.1078 | Angular momentum of isolated systems | Penrose's twistorial approach to the definition of angular momentum at null
infinity is developed so that angular momenta at different cuts can be
meaningfully compared. This is done by showing that the twistor spaces
associated with different cuts of scri can be identified as manifolds (but not
as vector spaces). The result is a well-defined, Bondi-Metzner-Sachs-invariant
notion of angular momentum in a radiating space-time; the difficulties and
ambiguities previously encountered are attached to attempts to express this in
special-relativistic terms, and in particular to attempts to identify a single
Minkowski space of origins. Unlike the special-relativistic case, the angular
momentum cannot be represented by a purely j=1 quantity M_{ab}, but has
higher-j contributions as well. Applying standard kinematic prescriptions,
these higher-j contributions are shown to correspond precisely to the shear.
Thus it appears that shear and angular momentum should be regarded as different
aspects of a single unified concept.
| gr-qc | penroses twistorial approach to the definition of angular momentum at null infinity is developed so that angular momenta at different cuts can be meaningfully compared this is done by showing that the twistor spaces associated with different cuts of scri can be identified as manifolds but not as vector spaces the result is a welldefined bondimetznersachsinvariant notion of angular momentum in a radiating spacetime the difficulties and ambiguities previously encountered are attached to attempts to express this in specialrelativistic terms and in particular to attempts to identify a single minkowski space of origins unlike the specialrelativistic case the angular momentum cannot be represented by a purely j1 quantity m_ab but has higherj contributions as well applying standard kinematic prescriptions these higherj contributions are shown to correspond precisely to the shear thus it appears that shear and angular momentum should be regarded as different aspects of a single unified concept | [['penroses', 'twistorial', 'approach', 'to', 'the', 'definition', 'of', 'angular', 'momentum', 'at', 'null', 'infinity', 'is', 'developed', 'so', 'that', 'angular', 'momenta', 'at', 'different', 'cuts', 'can', 'be', 'meaningfully', 'compared', 'this', 'is', 'done', 'by', 'showing', 'that', 'the', 'twistor', 'spaces', 'associated', 'with', 'different', 'cuts', 'of', 'scri', 'can', 'be', 'identified', 'as', 'manifolds', 'but', 'not', 'as', 'vector', 'spaces', 'the', 'result', 'is', 'a', 'welldefined', 'bondimetznersachsinvariant', 'notion', 'of', 'angular', 'momentum', 'in', 'a', 'radiating', 'spacetime', 'the', 'difficulties', 'and', 'ambiguities', 'previously', 'encountered', 'are', 'attached', 'to', 'attempts', 'to', 'express', 'this', 'in', 'specialrelativistic', 'terms', 'and', 'in', 'particular', 'to', 'attempts', 'to', 'identify', 'a', 'single', 'minkowski', 'space', 'of', 'origins', 'unlike', 'the', 'specialrelativistic', 'case', 'the', 'angular', 'momentum', 'can', 'not', 'be', 'represented', 'by', 'a', 'purely', 'j1', 'quantity', 'm_ab', 'but', 'has', 'higherj', 'contributions', 'as', 'well', 'applying', 'standard', 'kinematic', 'prescriptions', 'these', 'higherj', 'contributions', 'are', 'shown', 'to', 'correspond', 'precisely', 'to', 'the', 'shear', 'thus', 'it', 'appears', 'that', 'shear', 'and', 'angular', 'momentum', 'should', 'be', 'regarded', 'as', 'different', 'aspects', 'of', 'a', 'single', 'unified', 'concept']] | [-0.1022536950834383, 0.15392135425577028, -0.13251587144105426, 0.11540835202693464, -0.13752382493659154, -0.10302139668344151, -0.039786399173356544, 0.35752297499085833, -0.26364586448559424, -0.3039864913479194, 0.05044448889257549, -0.23704921060097997, -0.0866653007773945, 0.17442110147102166, -0.09146490188990564, 0.027667315358033517, 0.022297685273654208, 0.02490072097979336, -0.09931007096537657, -0.20272883209368628, 0.3601060758701107, 0.06555431379527228, 0.24317215306796883, 0.017935846763469227, 0.11268923437143144, -0.025895879966841274, -0.06656957881825182, 0.0976985403765915, -0.11801366026011481, 0.046916014996150994, 0.2852476372402286, 0.08172536633858744, 0.205828275892496, -0.35513937127020134, -0.20091739832189234, 0.09887025709695264, 0.20571616192617073, 0.10996317902998687, 0.06432607490569353, -0.24384302582088607, 0.03234626429355485, -0.16065713296481876, -0.17020294746468406, -0.13102226533457065, -0.0029961517293181196, -0.02393038949035358, -0.2240192775220779, 0.07977630923683411, 0.06994936573115997, 0.007964391330094545, -0.048192857874044835, -0.12045544682495646, -0.08836400391371459, 0.09759549955031116, 0.10346111789151977, 0.10496691820655493, 0.12759223696931996, -0.0781483835362573, -0.1345103175829371, 0.39537951526475834, -0.014847348437913313, -0.3084861905057758, 0.18957104456873497, -0.1761020609652686, -0.12657545514845434, 0.13639099142145392, 0.12427150469973383, 0.12919330939958373, -0.1658366280514122, 0.07919336324940504, -0.017239763956179453, 0.08671993608492733, 0.12857944656463477, 0.08757441806850717, 0.26224613450967627, 0.0612073859603038, 0.014741013676628171, 0.11350115480513981, -0.07469032566420947, -0.09090603489331876, -0.3293343947187766, -0.14933334292543915, -0.17208032888804106, 0.08577167031205972, -0.046177743333755156, -0.1139517830215604, 0.31703726603218274, 0.0922029648870175, 0.253464631940982, 0.02442290798890648, 0.3005907405042808, 0.11255171255641398, 0.13170529016131072, 0.05671075580410359, 0.27680519765755474, 0.13381638193515524, 0.12347139944416165, -0.15771014299306194, 0.00412702779309049, 0.07166310577909618] |
709.1079 | Two-scale homogenization of piezoelectric perforated structures | We are interested in the homogenization of elastic-electric coupling
equation, with rapidly oscillating coefficients, in periodically perforated
piezoelectric body. We justify the two first terms in the usual asymptotic
development of the problem solution. For the main convergence results of this
paper, we use the notion of {\it two-scale convergence}. A two-scale
homogenized system is obtained as the limit of the periodic problem. While in
the static limit the method provides homogenized electroelastic coefficients
whicht coincide with those deduced from other homogenization techniques
(asymptotic homogenization, $\Gamma$-convergence).
| math.NA math.CA | we are interested in the homogenization of elasticelectric coupling equation with rapidly oscillating coefficients in periodically perforated piezoelectric body we justify the two first terms in the usual asymptotic development of the problem solution for the main convergence results of this paper we use the notion of it twoscale convergence a twoscale homogenized system is obtained as the limit of the periodic problem while in the static limit the method provides homogenized electroelastic coefficients whicht coincide with those deduced from other homogenization techniques asymptotic homogenization gammaconvergence | [['we', 'are', 'interested', 'in', 'the', 'homogenization', 'of', 'elasticelectric', 'coupling', 'equation', 'with', 'rapidly', 'oscillating', 'coefficients', 'in', 'periodically', 'perforated', 'piezoelectric', 'body', 'we', 'justify', 'the', 'two', 'first', 'terms', 'in', 'the', 'usual', 'asymptotic', 'development', 'of', 'the', 'problem', 'solution', 'for', 'the', 'main', 'convergence', 'results', 'of', 'this', 'paper', 'we', 'use', 'the', 'notion', 'of', 'it', 'twoscale', 'convergence', 'a', 'twoscale', 'homogenized', 'system', 'is', 'obtained', 'as', 'the', 'limit', 'of', 'the', 'periodic', 'problem', 'while', 'in', 'the', 'static', 'limit', 'the', 'method', 'provides', 'homogenized', 'electroelastic', 'coefficients', 'whicht', 'coincide', 'with', 'those', 'deduced', 'from', 'other', 'homogenization', 'techniques', 'asymptotic', 'homogenization', 'gammaconvergence']] | [-0.12832099633912245, 0.043169189776693075, -0.08559731074741908, 0.009025024072754951, -0.053493509434961846, -0.06987954872948605, 0.01056482801851373, 0.3097226566945513, -0.31918179105490535, -0.20479076408914157, 0.15360728473890395, -0.30917306468334227, -0.17339017492208986, 0.18038182457288107, -0.0955150882669148, 0.12839930495690732, 0.08693244126403615, 0.01581591606927326, -0.053157876209644156, -0.19157045034808107, 0.31973682255816777, -0.04357643103936598, 0.28567091102844905, -0.004086229035497776, 0.0687291080075305, -0.002256087080154213, 0.00849178790425261, 0.03094958774523721, -0.2027494646442522, 0.1459302658497888, 0.23886070231951417, -0.012540035021846137, 0.3159786638792693, -0.44399045565209927, -0.17777324644183473, 0.031245166463555678, 0.1974390571399237, 0.11001854072258409, -0.019102579647941247, -0.2478033017278427, 0.08380742905484069, -0.1382014914304905, -0.2286976211526919, -0.05703299111198811, -0.05092268064618111, 0.09906003975594926, -0.277594916079016, 0.11474816483678296, 0.10517176829411515, 0.044563019656509696, -0.154145436483391, -0.08075313476729207, 0.05918458284577355, 0.11091485734297228, 0.14136311056790873, -0.06300082911981181, 0.07179908481581758, -0.09154145843404833, -0.01693012661278425, 0.3572049764361942, -0.14226251369109377, -0.2550043540430211, 0.1674111056185904, -0.15575682290918416, -0.1030740809926231, 0.11514982083047341, 0.13767016993924266, 0.16613234535491625, -0.21695464063391445, 0.13130655074824713, -0.027085240059975712, 0.10997010417105187, 0.12180224203482448, 0.0037496585642830247, 0.09201651072085258, 0.21076470310799778, 0.08837809533690147, 0.19261002292859347, 0.01213909060295139, -0.09928100896511405, -0.327985653021772, -0.11159006958561284, -0.20120039128787107, 0.053831480587610885, -0.18000196590687015, -0.233608272536436, 0.3421305837109685, 0.17921503982506692, 0.11757502850100753, 0.09917191304044709, 0.26397441779374187, 0.20556204180493728, -0.0312626443393085, 0.047365638748964385, 0.30737019268313553, 0.19676883829691047, 0.18899296093565812, -0.22375341263250448, 0.036816787224129906, 0.19048978854525125] |
709.108 | On the Protocol Composition Logic PCL | A recent development in formal security protocol analysis is the Protocol
Composition Logic (PCL). We identify a number of problems with this logic as
well as with extensions of the logic, as defined in
[DDMP05,HSD+05,He05,Dat05,Der06,DDMR07]. The identified problems imply strong
restrictions on the scope of PCL, and imply that some currently claimed PCL
proofs cannot be proven within the logic, or make use of unsound axioms. Where
possible, we propose solutions for these problems.
| cs.CR cs.LO | a recent development in formal security protocol analysis is the protocol composition logic pcl we identify a number of problems with this logic as well as with extensions of the logic as defined in ddmp05hsd05he05dat05der06ddmr07 the identified problems imply strong restrictions on the scope of pcl and imply that some currently claimed pcl proofs cannot be proven within the logic or make use of unsound axioms where possible we propose solutions for these problems | [['a', 'recent', 'development', 'in', 'formal', 'security', 'protocol', 'analysis', 'is', 'the', 'protocol', 'composition', 'logic', 'pcl', 'we', 'identify', 'a', 'number', 'of', 'problems', 'with', 'this', 'logic', 'as', 'well', 'as', 'with', 'extensions', 'of', 'the', 'logic', 'as', 'defined', 'in', 'ddmp05hsd05he05dat05der06ddmr07', 'the', 'identified', 'problems', 'imply', 'strong', 'restrictions', 'on', 'the', 'scope', 'of', 'pcl', 'and', 'imply', 'that', 'some', 'currently', 'claimed', 'pcl', 'proofs', 'can', 'not', 'be', 'proven', 'within', 'the', 'logic', 'or', 'make', 'use', 'of', 'unsound', 'axioms', 'where', 'possible', 'we', 'propose', 'solutions', 'for', 'these', 'problems']] | [-0.09334526812214076, 0.002946967334562057, -0.07278074681557514, 0.08818910983265252, -0.10856984843298592, -0.16551100195863763, 0.06112323873802214, 0.3572538081254508, -0.2794141327786083, -0.3160012767625016, 0.16416015817997726, -0.19934654532856233, -0.13070647053835863, 0.235218716587091, -0.13201401230715518, 0.09602847637457622, 0.0014537480106023518, 0.028623318733848834, -0.03087253708508797, -0.22523213328630035, 0.2784650233649724, -0.009484344980100522, 0.2390214254248988, 0.09798640466446208, 0.05297997558640467, 0.007309013663010823, 0.004884815334367591, 0.07349676237366087, -0.11044906397286025, 0.11232038593624492, 0.3263346595891021, 0.23110861748431785, 0.30074323743984505, -0.4347379740478622, -0.18863931057874012, 0.07625138139780108, 0.12409626422575801, 0.09266592773004763, -0.014870743080029718, -0.28098757476923436, 0.09873468116731257, -0.1996263500705764, -0.09786064961824466, -0.11605397394128344, -0.02493956857329436, 0.07605179809537288, -0.22659414083495535, -0.00836916543492997, 0.13441588543512784, 0.06657250930328627, -0.03343530950715413, -0.11137593420524453, 0.03643565051213561, 0.041021510917768886, 0.01876206002261087, -0.035811184172367526, 0.10731413201554804, -0.07746687990525183, -0.2207875201805822, 0.3558975226573042, -0.0010181472359879597, -0.1816775618322395, 0.1851195368248768, -0.05352231004350894, -0.23273701736753857, 0.030485695379005896, 0.09572909353930201, 0.14147614959526705, -0.11830583875495437, 0.11886702320535315, -0.04598336028111343, 0.23938624269008082, 0.07507283676327584, 0.12603937286405345, 0.18301243121056138, 0.17629053244820317, 0.06695745110109046, 0.14345290548816272, 0.03072739887441433, -0.09396404949271724, -0.3294044272672083, -0.15107854445641106, -0.10848111019004136, 0.007265270201723733, -0.02169707443897858, -0.20546334196586866, 0.3412739231921355, 0.19483877892756984, 0.13278514879277428, 0.10166722498959987, 0.29024290995722685, 0.07923102620013713, 0.1342045721138601, 0.053395170227599306, 0.2530843925090488, 0.13733871495099487, 0.12013077645914981, -0.11334229687958755, 0.15862147210675567, 0.035856882871657204] |
709.1081 | Examining exotic structure of proton-rich nucleus $^{23}$Al | The longitudinal momentum distribution (P_{//}) of fragments after one-proton
removal from ^{23} Al and reaction cross sections (\sigma_R) for
^{23,24} Al on carbon target at 74A MeV have been measured. The ^{23,24} Al
ions were produced through projectile fragmentation of 135 A MeV ^{28} Si
primary beam using RIPS fragment separator at RIKEN. P_{//} is measured by a
direct time-of-flight (TOF) technique, while \sigma_R is determined using a
transmission method. An enhancement in \sigma_R is observed for ^{23} Al
compared with ^{24} Al. The P_{//} for ^{22} Mg fragments from ^{23} Al breakup
has been obtained for the first time. FWHM of the distributions has been
determined to be 232 \pm 28 MeV/c. The experimental data are discussed by using
Few-Body Glauber model. Analysis of P_{//} demonstrates a dominant d-wave
configuration for the valence proton in ground state of ^{23} Al, indicating
that ^{23} Al is not a proton halo nucleus.
| nucl-ex | the longitudinal momentum distribution p_ of fragments after oneproton removal from 23 al and reaction cross sections sigma_r for 2324 al on carbon target at 74a mev have been measured the 2324 al ions were produced through projectile fragmentation of 135 a mev 28 si primary beam using rips fragment separator at riken p_ is measured by a direct timeofflight tof technique while sigma_r is determined using a transmission method an enhancement in sigma_r is observed for 23 al compared with 24 al the p_ for 22 mg fragments from 23 al breakup has been obtained for the first time fwhm of the distributions has been determined to be 232 pm 28 mevc the experimental data are discussed by using fewbody glauber model analysis of p_ demonstrates a dominant dwave configuration for the valence proton in ground state of 23 al indicating that 23 al is not a proton halo nucleus | [['the', 'longitudinal', 'momentum', 'distribution', 'p_', 'of', 'fragments', 'after', 'oneproton', 'removal', 'from', '23', 'al', 'and', 'reaction', 'cross', 'sections', 'sigma_r', 'for', '2324', 'al', 'on', 'carbon', 'target', 'at', '74a', 'mev', 'have', 'been', 'measured', 'the', '2324', 'al', 'ions', 'were', 'produced', 'through', 'projectile', 'fragmentation', 'of', '135', 'a', 'mev', '28', 'si', 'primary', 'beam', 'using', 'rips', 'fragment', 'separator', 'at', 'riken', 'p_', 'is', 'measured', 'by', 'a', 'direct', 'timeofflight', 'tof', 'technique', 'while', 'sigma_r', 'is', 'determined', 'using', 'a', 'transmission', 'method', 'an', 'enhancement', 'in', 'sigma_r', 'is', 'observed', 'for', '23', 'al', 'compared', 'with', '24', 'al', 'the', 'p_', 'for', '22', 'mg', 'fragments', 'from', '23', 'al', 'breakup', 'has', 'been', 'obtained', 'for', 'the', 'first', 'time', 'fwhm', 'of', 'the', 'distributions', 'has', 'been', 'determined', 'to', 'be', '232', 'pm', '28', 'mevc', 'the', 'experimental', 'data', 'are', 'discussed', 'by', 'using', 'fewbody', 'glauber', 'model', 'analysis', 'of', 'p_', 'demonstrates', 'a', 'dominant', 'dwave', 'configuration', 'for', 'the', 'valence', 'proton', 'in', 'ground', 'state', 'of', '23', 'al', 'indicating', 'that', '23', 'al', 'is', 'not', 'a', 'proton', 'halo', 'nucleus']] | [-0.016071294075809418, 0.19633326312924812, -0.07420667105373771, 0.04511286711630722, 0.05494597551839737, -0.08582242290101325, 0.04749042508658022, 0.39854524306952954, -0.16991709324065596, -0.37951803363859654, -0.05032263565342873, -0.3467254474200308, 0.05591005569323897, 0.1804542731291925, 0.017239438334557537, 0.09054083621042082, 0.08349911770472924, -0.04054665187994639, -0.048242067584457496, -0.17931944284355267, 0.23197279201820492, 0.13004485836563012, 0.2403851326671429, 0.09492314524720617, 0.0719954042256965, 0.034618814488252006, -0.019505300018936397, -0.017274313740684496, -0.13900888264203484, 0.01774568062586089, 0.20369413788585614, 0.0966384258819744, 0.16488412437029182, -0.3492816284205765, -0.15804896525417764, 0.03743811875892182, 0.1438494485306243, 0.08687153469780848, -0.03954500993170465, -0.27636815601338943, 0.11248587575430671, -0.22388648570204775, -0.12105316931381821, 0.02659485770505853, 0.12902861181336145, 0.02992430908566651, -0.28414756952862563, 0.10303929333187019, -0.0070321277307812124, 0.12827776866033674, -0.08496347057943543, -0.2716105674828092, -0.07303752781823278, -0.006408117820198337, -0.025754939920734615, 0.11959975092458383, 0.1654507883017262, 0.003709454654405514, -0.09610871720826253, 0.35928254983077446, -0.0064824776475628215, -0.05343981744837947, 0.08390213851283382, -0.15514735714842876, -0.11698023237598439, 0.26983924326797326, 0.09618830363576611, 0.12033907531838244, -0.15671708898308376, 0.049694655164688205, -0.04463942197772364, 0.1989426006268089, 0.1762413338649397, -0.05897464663721621, 0.128639416222771, 0.18329581568483264, -0.009588791031079987, 0.03988239895319566, -0.24180680703837423, -0.05112251093921562, -0.2423629343199233, -0.08815778975685437, -0.13891580913215876, 0.051606987536360976, -0.0001169731736687633, -0.025627360629538694, 0.3398836174979806, 0.013291402886243303, 0.2645361864427105, -0.049309532445234554, 0.23210040397942067, 0.09087278170200686, 0.057241891698601347, 0.09648916929106538, 0.33370674539978307, 0.2141354585578665, 0.12110061618965119, -0.22987564080394804, 0.09787054834664256, 0.043310273822086555] |
709.1082 | Microcanonical phase transitions in small systems | When studying the thermodynamic properties of mesoscopic systems the most
appropriate microcanonical entropy is the volume entropy, i.e. the logarithm of
the volume of phase space enclosed by the hypersurface of constant energy. For
systems with broken ergodicity, the volume entropy has discontinuous jumps at
values of energy that correspond to separatrix trajectories. Simultaneously
there is a convex intruder in the entropy function and a region of negative
specific heat below such critical energies. We illustrate this with a simple
model composed of a chain of 3 particles which interact via a Lennard-Jones
potential.
| cond-mat.stat-mech | when studying the thermodynamic properties of mesoscopic systems the most appropriate microcanonical entropy is the volume entropy ie the logarithm of the volume of phase space enclosed by the hypersurface of constant energy for systems with broken ergodicity the volume entropy has discontinuous jumps at values of energy that correspond to separatrix trajectories simultaneously there is a convex intruder in the entropy function and a region of negative specific heat below such critical energies we illustrate this with a simple model composed of a chain of 3 particles which interact via a lennardjones potential | [['when', 'studying', 'the', 'thermodynamic', 'properties', 'of', 'mesoscopic', 'systems', 'the', 'most', 'appropriate', 'microcanonical', 'entropy', 'is', 'the', 'volume', 'entropy', 'ie', 'the', 'logarithm', 'of', 'the', 'volume', 'of', 'phase', 'space', 'enclosed', 'by', 'the', 'hypersurface', 'of', 'constant', 'energy', 'for', 'systems', 'with', 'broken', 'ergodicity', 'the', 'volume', 'entropy', 'has', 'discontinuous', 'jumps', 'at', 'values', 'of', 'energy', 'that', 'correspond', 'to', 'separatrix', 'trajectories', 'simultaneously', 'there', 'is', 'a', 'convex', 'intruder', 'in', 'the', 'entropy', 'function', 'and', 'a', 'region', 'of', 'negative', 'specific', 'heat', 'below', 'such', 'critical', 'energies', 'we', 'illustrate', 'this', 'with', 'a', 'simple', 'model', 'composed', 'of', 'a', 'chain', 'of', '3', 'particles', 'which', 'interact', 'via', 'a', 'lennardjones', 'potential']] | [-0.15778504843090443, 0.19216256198334566, -0.08110372168309193, 0.056758237389619756, 0.023105869800387386, -0.14122775968590237, 0.06570761602253039, 0.28511645195094193, -0.26225152989463046, -0.25751498819110874, 0.06941960153462207, -0.32985744388536253, -0.0751672270806863, 0.15676640135364883, -0.016491925687234392, 0.07002975949983514, 0.018426318345789578, 0.09570221513747534, -0.08228160955873813, -0.18132156860875956, 0.34136759775611475, 0.045722916828805305, 0.2419768883945777, 0.0970617669951567, 0.14499074805087034, -0.02503133956045705, 0.08862000899983848, 0.09474394344594676, -0.17371016444504928, 0.08872549389885302, 0.2178353644223844, 0.05453020017445484, 0.2609827573748028, -0.36731737261598413, -0.2509988909686341, 0.17729244521383117, 0.08624446429213152, 0.06670835193003864, -0.034176972466818195, -0.22406608561806857, 0.03933314467220508, -0.14495717380889395, -0.17563194733489543, -0.07020880729752652, 0.03036684818328061, 0.058597960638159766, -0.21851378538338664, 0.16537810453867657, 0.046439541479017826, 0.06911013742036959, -0.07801712402192122, -0.05449438127788141, -0.07569845266977047, 0.0814014951926978, 0.04070208756069831, 0.015978620179552348, 0.195808336653925, -0.11820054114449452, -0.04974482114367346, 0.34898383661787563, -0.03430753345403107, -0.21946235309216253, 0.200091435197503, -0.14176286260617224, -0.09104876652696824, 0.19452139853618722, 0.14144203836653144, 0.10899707154857559, -0.1457447731018158, 0.1125307773590395, 0.010790631155225825, 0.16430428716294626, 0.05144709508192349, -0.018213916569948196, 0.24894906301051378, 0.15922829191240065, 0.08305696562982778, 0.19890181335900475, -0.06298428679756979, -0.19228109544975328, -0.35576808097911006, -0.22303749923594296, -0.24962997553434144, 0.04301885551119104, -0.14011176368899697, -0.20495881888757836, 0.3583197728383969, 0.052308068222944405, 0.2464899115383308, 0.0487417952031234, 0.2662640613345231, 0.1479191983693299, 0.05052792204870902, 0.09451900207576283, 0.19854463071146228, 0.11884700365369505, 0.1085945210082734, -0.24272909419650726, 0.03324804010186741, 0.11071393957133702] |
709.1083 | Phase diagram of two-flavor quark matter: Gluonic phase at nonzero
temperature | The phase structure of neutral two-flavor quark matter at nonzero temperature
is studied. Our analysis is performed within the framework of a gauged
Nambu--Jona-Lasinio model and the mean-field approximation. We compute the free
energy of the gluonic phase (gluonic cylindrical phase II) in a self-consistent
manner and investigate the phase transition from the gluonic phase to the
2SC/g2SC/NQ phases. We briefly consider the phase diagram in the plane of
coupling strength versus temperature and discuss the mixed phase consisting of
the normal quark and 2SC phases.
| hep-ph | the phase structure of neutral twoflavor quark matter at nonzero temperature is studied our analysis is performed within the framework of a gauged nambujonalasinio model and the meanfield approximation we compute the free energy of the gluonic phase gluonic cylindrical phase ii in a selfconsistent manner and investigate the phase transition from the gluonic phase to the 2scg2scnq phases we briefly consider the phase diagram in the plane of coupling strength versus temperature and discuss the mixed phase consisting of the normal quark and 2sc phases | [['the', 'phase', 'structure', 'of', 'neutral', 'twoflavor', 'quark', 'matter', 'at', 'nonzero', 'temperature', 'is', 'studied', 'our', 'analysis', 'is', 'performed', 'within', 'the', 'framework', 'of', 'a', 'gauged', 'nambujonalasinio', 'model', 'and', 'the', 'meanfield', 'approximation', 'we', 'compute', 'the', 'free', 'energy', 'of', 'the', 'gluonic', 'phase', 'gluonic', 'cylindrical', 'phase', 'ii', 'in', 'a', 'selfconsistent', 'manner', 'and', 'investigate', 'the', 'phase', 'transition', 'from', 'the', 'gluonic', 'phase', 'to', 'the', '2scg2scnq', 'phases', 'we', 'briefly', 'consider', 'the', 'phase', 'diagram', 'in', 'the', 'plane', 'of', 'coupling', 'strength', 'versus', 'temperature', 'and', 'discuss', 'the', 'mixed', 'phase', 'consisting', 'of', 'the', 'normal', 'quark', 'and', '2sc', 'phases']] | [-0.16115839754724326, 0.2922245908528566, -0.0977578622946406, 0.051623861855991625, 0.009842292663148221, -0.05663246558431317, 0.11907429557074518, 0.3326024688122904, -0.1840769598041387, -0.240818070138202, 0.026918179396649495, -0.2579102232504417, -0.08464816694750506, -0.004543341786655433, 0.09193542742937365, -0.0018550342606271015, -0.08354254301418276, 0.026058748216532607, -0.18649325374075595, -0.15293589345836903, 0.3529918307191966, -0.04980787858366966, 0.2808576395625577, 0.07346776892595432, 0.03207792140995426, -0.012007184466347099, -0.015117211460806978, 0.0024430144359083735, -0.1545141630093841, -0.07082261130871141, 0.19691214128808282, -0.006524095103582915, 0.09147646093795843, -0.4120892529540202, -0.22991652959300315, 0.12849891656626236, 0.10737453002263518, 0.128283269089811, -0.06118097783148508, -0.29549632866812103, 0.021055466980289886, -0.2189034686779932, -0.19031867097844096, -0.09634200218407547, -0.05673930166179643, -0.06044957655317643, -0.27389127530828666, 0.11844318314071964, -0.027750402776633994, 0.039866773980012274, -0.05087421129813746, -0.15453412650043474, -0.0727757814751171, 0.057778342911864025, 0.022522576807943336, 0.092537899282487, 0.11817987194825785, -0.1969066670328817, -0.04125035789192599, 0.41862157736631, -0.08007937976542641, -0.09799855316386503, 0.12317003153045387, -0.16688610272625845, -0.08590381892726702, 0.1291205837007831, 0.15407585993628292, 0.12049020989524091, -0.15144485599046353, 0.13247652036028312, -0.004509960114955902, 0.17795684842721504, 0.002672596859252628, 0.010691695857573957, 0.26173352035967745, 0.22990168797619204, -0.03924127039773499, 0.2080386778120609, -0.10380120003760299, -0.1957934205968152, -0.36814628519556103, -0.10753024081316065, -0.12313104393097626, -0.08192517858628622, -0.1191454226966016, -0.21204412736765602, 0.4680259785231422, 0.12057963346459848, 0.16736880761078177, -0.041454077501069095, 0.32474354063434635, 0.1026876822244102, -0.016027998132631182, 0.05692471155677648, 0.2910235312712543, 0.24083878575988552, 0.14008572660386562, -0.33205630958682913, -0.015120942260631744, 0.14098229687113095] |
709.1084 | On some asymptotically flat manifolds with non maximal volume growth | Asymptotically flat manifolds with Euclidean volume growth are known to be
ALE. In this paper, we consider a class of asymptotically flat manifolds with
slower volume growth and prove that their asymptotic geometry is that of a
fibration over an ALE manifold. In particular, we show that gravitational
instantons with cubic volume growth are ALF.
| math.DG | asymptotically flat manifolds with euclidean volume growth are known to be ale in this paper we consider a class of asymptotically flat manifolds with slower volume growth and prove that their asymptotic geometry is that of a fibration over an ale manifold in particular we show that gravitational instantons with cubic volume growth are alf | [['asymptotically', 'flat', 'manifolds', 'with', 'euclidean', 'volume', 'growth', 'are', 'known', 'to', 'be', 'ale', 'in', 'this', 'paper', 'we', 'consider', 'a', 'class', 'of', 'asymptotically', 'flat', 'manifolds', 'with', 'slower', 'volume', 'growth', 'and', 'prove', 'that', 'their', 'asymptotic', 'geometry', 'is', 'that', 'of', 'a', 'fibration', 'over', 'an', 'ale', 'manifold', 'in', 'particular', 'we', 'show', 'that', 'gravitational', 'instantons', 'with', 'cubic', 'volume', 'growth', 'are', 'alf']] | [-0.17061884186484597, 0.1224475173388121, -0.06395461362871256, 0.06322700360959227, -0.0710805167528716, -0.11423598842864686, -0.08313286178110336, 0.4127051328139549, -0.17902172126553276, -0.2082166109699756, 0.18056265702471136, -0.2661267043514685, -0.22558255378495562, 0.16620438119227235, -0.18414911302653225, -0.03992688158019023, 0.018478963600302285, 0.04392472776499662, -0.08662755356000906, -0.3601683677978475, 0.42995716429908165, -0.002651199461384253, 0.26511398611420933, 0.025322068110108377, 0.11054619515145367, -0.05291219276418401, 0.04192380571568554, 0.1180379925973036, -0.21932160134456352, 0.11879795086993412, 0.23061256953938442, 0.04399315374056724, 0.17292214405130257, -0.386358598314903, -0.2448642918162725, 0.18053725822617045, 0.17409153970127755, 0.11792422308671204, -0.10107098516838794, -0.22577811875803905, 0.11013551091521301, -0.1262594236907634, -0.20535277201032096, -0.07634829609570178, 0.024727788152681156, 0.02494957877894525, -0.2065611528740688, 0.04837252335961569, 0.05236139222979545, 0.012377537380565297, -0.07827734991230748, -0.02949793523346836, -0.07409697037867524, 0.05193322161212564, 0.09021589517466386, 0.07492501038041982, 0.07519218638877977, -0.045000539046966215, -0.07381794340908528, 0.32106534919955515, -0.09318199081515724, -0.3126431692391634, 0.14908530441197482, -0.18542415626685727, -0.09388506591997363, 0.16099510904062878, 0.21010428606109186, 0.22858611853285268, -0.04396021692928943, 0.2214475319286893, 0.002124651445245201, 0.10672030968760902, 0.13042085671966727, -0.0029882791282778436, 0.13329822209409692, 0.17372017779218202, 0.15884658528322523, 0.11803474807582626, -0.008029074128717183, -0.1305678041905842, -0.36239331831986255, -0.2315881774676117, -0.12304199989885092, 0.20364333919503472, -0.18633190140271008, -0.28381072465669027, 0.26255810044028544, -0.049914835749024694, 0.21044023108075965, 0.2115328001705083, 0.1981225759806958, -0.01400652104269036, 0.027491340036927298, 0.138070119028403, 0.23194836059754545, 0.09125368496911092, 0.01378453266171908, -0.11610358676619151, -0.09915582759475167, 0.15600975247269327] |
709.1085 | Linear response subordination to intermittent energy release in
off-equilibrium aging dynamics | The interpretation of experimental and numerical data describing
off-equilibrium aging dynamics crucially depends on the connection between
spontaneous and induced fluctuations. The hypothesis that linear response
fluctuations are statistically subordinated to irreversible outbursts of
energy, so-called quakes, leads to predictions for averages and fluctuations
spectra of physical observables in reasonable agreement with experimental
results [see e.g. Sibani et al., Phys. Rev. B74:224407, 2006]. Using
simulational data from a simple but representative Ising model with plaquette
interactions, direct statistical evidence supporting the hypothesis is
presented and discussed in this work.
A strict temporal correlation between quakes and intermittent magnetization
fluctuations is demonstrated. The external magnetic field is shown to bias the
pre-existent intermittent tails of the magnetic fluctuation distribution, with
little or no effect on the Gaussian part of the latter. Its impact on energy
fluctuations is shown to be negligible.
Linear response is thus controlled by the quakes and inherits their temporal
statistics. These findings provide a theoretical basis for analyzing
intermittent linear response data from aging system in the same way as thermal
energy fluctuations, which are far more difficult to measure.
| cond-mat.stat-mech cond-mat.soft | the interpretation of experimental and numerical data describing offequilibrium aging dynamics crucially depends on the connection between spontaneous and induced fluctuations the hypothesis that linear response fluctuations are statistically subordinated to irreversible outbursts of energy socalled quakes leads to predictions for averages and fluctuations spectra of physical observables in reasonable agreement with experimental results see eg sibani et al phys rev b74224407 2006 using simulational data from a simple but representative ising model with plaquette interactions direct statistical evidence supporting the hypothesis is presented and discussed in this work a strict temporal correlation between quakes and intermittent magnetization fluctuations is demonstrated the external magnetic field is shown to bias the preexistent intermittent tails of the magnetic fluctuation distribution with little or no effect on the gaussian part of the latter its impact on energy fluctuations is shown to be negligible linear response is thus controlled by the quakes and inherits their temporal statistics these findings provide a theoretical basis for analyzing intermittent linear response data from aging system in the same way as thermal energy fluctuations which are far more difficult to measure | [['the', 'interpretation', 'of', 'experimental', 'and', 'numerical', 'data', 'describing', 'offequilibrium', 'aging', 'dynamics', 'crucially', 'depends', 'on', 'the', 'connection', 'between', 'spontaneous', 'and', 'induced', 'fluctuations', 'the', 'hypothesis', 'that', 'linear', 'response', 'fluctuations', 'are', 'statistically', 'subordinated', 'to', 'irreversible', 'outbursts', 'of', 'energy', 'socalled', 'quakes', 'leads', 'to', 'predictions', 'for', 'averages', 'and', 'fluctuations', 'spectra', 'of', 'physical', 'observables', 'in', 'reasonable', 'agreement', 'with', 'experimental', 'results', 'see', 'eg', 'sibani', 'et', 'al', 'phys', 'rev', 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709.1086 | Flux saturation number of superconducting rings | The distributions of electrical current and magnetic field in a thin-film
superconductor ring is calculated by solving the London equation. The maximum
amount of flux trapped by the hole, the fluxoid saturation number, is obtained
by limiting the current density by the depairing current. The results are
compare it with similar results derived for the bulk case of a long hollow
cylinder [Nordborg & Vinokur, Phys. Rev. B 62, 12408 (2000)]. In the limit of
small holes our result reduces to the Pearl solution for an isolated vortex in
a thin film. For large hole radius, the ratio between saturation numbers in
bulk and film superconductors is proportional to the square root of the hole
size.
| cond-mat.supr-con | the distributions of electrical current and magnetic field in a thinfilm superconductor ring is calculated by solving the london equation the maximum amount of flux trapped by the hole the fluxoid saturation number is obtained by limiting the current density by the depairing current the results are compare it with similar results derived for the bulk case of a long hollow cylinder nordborg vinokur phys rev b 62 12408 2000 in the limit of small holes our result reduces to the pearl solution for an isolated vortex in a thin film for large hole radius the ratio between saturation numbers in bulk and film superconductors is proportional to the square root of the hole size | [['the', 'distributions', 'of', 'electrical', 'current', 'and', 'magnetic', 'field', 'in', 'a', 'thinfilm', 'superconductor', 'ring', 'is', 'calculated', 'by', 'solving', 'the', 'london', 'equation', 'the', 'maximum', 'amount', 'of', 'flux', 'trapped', 'by', 'the', 'hole', 'the', 'fluxoid', 'saturation', 'number', 'is', 'obtained', 'by', 'limiting', 'the', 'current', 'density', 'by', 'the', 'depairing', 'current', 'the', 'results', 'are', 'compare', 'it', 'with', 'similar', 'results', 'derived', 'for', 'the', 'bulk', 'case', 'of', 'a', 'long', 'hollow', 'cylinder', 'nordborg', 'vinokur', 'phys', 'rev', 'b', '62', '12408', '2000', 'in', 'the', 'limit', 'of', 'small', 'holes', 'our', 'result', 'reduces', 'to', 'the', 'pearl', 'solution', 'for', 'an', 'isolated', 'vortex', 'in', 'a', 'thin', 'film', 'for', 'large', 'hole', 'radius', 'the', 'ratio', 'between', 'saturation', 'numbers', 'in', 'bulk', 'and', 'film', 'superconductors', 'is', 'proportional', 'to', 'the', 'square', 'root', 'of', 'the', 'hole', 'size']] | [-0.15601049771581868, 0.14339252679716422, 0.020312277352915402, 0.003451177499059225, -0.020095254616004175, -0.08404180976207805, 0.054875940339952974, 0.287989742938528, -0.19765051924087831, -0.33936797591766954, 0.04998880698535163, -0.3107662218070663, -0.031828096070516426, 0.2185317034528187, -0.04100952836153287, 0.039769988156756204, -0.02352475379882133, 0.003202559945659827, -0.06850840192518931, -0.23522707748029018, 0.27273501383874205, 0.06186304808866266, 0.3482069681703517, 0.06300626531762557, 0.03236248814377241, 0.01067831685799545, 0.06503934712783821, 0.0925906893788977, -0.20574748178169264, 0.04095696285367012, 0.18070754909525272, -0.013170571437319823, 0.20466651439056854, -0.452162155527127, -0.18523769396711634, 0.0051352329576899, 0.0954055198008788, 0.1275812760572386, -0.019937094737800348, -0.25957765086529266, 0.10125941480097847, -0.17249664504377715, -0.1691707353359006, -0.007179743412519451, 0.11224804422715103, 0.04742047717110707, -0.23722385042151273, 0.13484106238094876, 0.0537288723991508, 0.029310449793011742, -0.07043731005128835, -0.1292173748926581, -0.058656403081969614, 0.014806141664760302, 0.08401545922815866, 0.0753524327502314, 0.16663817273436393, -0.15464060423088022, -0.05125868950962229, 0.3030588953071727, -0.08887963650533848, -0.13086249700755673, 0.1242855420785305, -0.20057573112601465, 0.015963896977162995, 0.1855652456715769, 0.09066617490509443, 0.13163040770399095, -0.12319325497456357, 0.0918807542369808, -0.10015007948082567, 0.14842106241823497, 0.09622369687262494, -0.009461599055974356, 0.2688223814871986, 0.1911162051611242, 0.026190885384124087, 0.1518302938027258, -0.15411714391898265, -0.068261172235078, -0.2722802645057044, -0.17623780010086773, -0.24601759683377877, 0.08010291533165537, -0.10779467921480496, -0.15987769811026817, 0.35086481068777825, 0.11545599255076222, 0.22043358011813052, -0.017780480436585117, 0.23017764977655045, 0.14474232468972462, 0.06401109952836058, 0.10782458132083438, 0.2782508261271019, 0.21810067736593167, 0.13782547517132068, -0.29309439668596715, 0.0067659174380576715, 0.06278747322029574] |
709.1087 | Spin asymmetries in jet-hyperon production at LHC | We consider polarized Lambda hyperon production in proton-proton scattering,
p p -> (\Lambda^\uparrow jet) jet X, in the kinematical region of the LHC
experiments, in particular the ALICE experiment. We present a new Lambda
polarization observable that arises from the Sivers effect in the fragmentation
process. It can be large even at midrapidity and therefore, is of interest for
high energy hadron collider experiments. Apart from its potential to shed light
on the mechanisms behind the phenomenon of Lambda polarization arising in
unpolarized hadronic collisions, the new observable in principle also allows to
test the possible color flow dependence of single spin asymmetries and the
(non)universality of transverse momentum dependent fragmentation functions.
| hep-ph | we consider polarized lambda hyperon production in protonproton scattering p p lambdauparrow jet jet x in the kinematical region of the lhc experiments in particular the alice experiment we present a new lambda polarization observable that arises from the sivers effect in the fragmentation process it can be large even at midrapidity and therefore is of interest for high energy hadron collider experiments apart from its potential to shed light on the mechanisms behind the phenomenon of lambda polarization arising in unpolarized hadronic collisions the new observable in principle also allows to test the possible color flow dependence of single spin asymmetries and the nonuniversality of transverse momentum dependent fragmentation functions | [['we', 'consider', 'polarized', 'lambda', 'hyperon', 'production', 'in', 'protonproton', 'scattering', 'p', 'p', 'lambdauparrow', 'jet', 'jet', 'x', 'in', 'the', 'kinematical', 'region', 'of', 'the', 'lhc', 'experiments', 'in', 'particular', 'the', 'alice', 'experiment', 'we', 'present', 'a', 'new', 'lambda', 'polarization', 'observable', 'that', 'arises', 'from', 'the', 'sivers', 'effect', 'in', 'the', 'fragmentation', 'process', 'it', 'can', 'be', 'large', 'even', 'at', 'midrapidity', 'and', 'therefore', 'is', 'of', 'interest', 'for', 'high', 'energy', 'hadron', 'collider', 'experiments', 'apart', 'from', 'its', 'potential', 'to', 'shed', 'light', 'on', 'the', 'mechanisms', 'behind', 'the', 'phenomenon', 'of', 'lambda', 'polarization', 'arising', 'in', 'unpolarized', 'hadronic', 'collisions', 'the', 'new', 'observable', 'in', 'principle', 'also', 'allows', 'to', 'test', 'the', 'possible', 'color', 'flow', 'dependence', 'of', 'single', 'spin', 'asymmetries', 'and', 'the', 'nonuniversality', 'of', 'transverse', 'momentum', 'dependent', 'fragmentation', 'functions']] | [-0.08931851599508107, 0.23265429868924994, -0.1821605564212544, 0.12987322993700087, -0.07969856892318071, -0.11161352746893426, -0.011880711247506845, 0.3667173639846009, -0.2844407486116832, -0.21754619749346832, -0.05023547801658981, -0.3008991007354616, 0.03639463506437637, 0.15737017870855494, 0.0748222612223676, 0.08729834462304155, 0.07540597197775906, -0.036398203250624844, -0.020358664592463726, -0.17158034433577177, 0.36050376658504074, 0.08420929253056252, 0.22679138395238901, 0.18830201749245193, 0.08555099086181538, 0.0734441442780096, -0.03828095397356109, -0.009911190282117139, -0.11501290028955974, 0.0392056088157833, 0.26286995162986015, 0.09320892086137203, 0.12054164474233534, -0.35908695589751005, -0.12440216861799494, 0.13057632659150809, 0.1177881520728136, 0.1164271109653553, -0.07422335338170498, -0.23654866753867618, 0.04709138796111015, -0.1948650785646326, -0.16580279879502718, -0.026102232964927547, 0.04335045548961372, -0.019372506100717966, -0.31452442594040353, 0.10136090982930844, 0.009940277438963184, 0.026757028509720084, 0.0060278156458668675, -0.18325074566612104, -0.07533198833750847, 0.009248303752371555, 0.11288045366532756, 0.09986412015886188, 0.18025545233038362, -0.1885092879387525, -0.16767367156356708, 0.3734988297948295, -0.02886544847818981, -0.14739220768571432, 0.1398879182462052, -0.3046935723028943, -0.1540853450167085, 0.1524072028948246, 0.2897888131325368, 0.1249152224108174, -0.14234842639416456, 0.09959237458213728, -0.05309283511339779, 0.14981305235703182, 0.08956508708043813, 0.09132185104294671, 0.22960586075645847, 0.2010126699261401, -0.02545007812341692, 0.11710056055836413, -0.16763955900269384, -0.06038171403699445, -0.42753619872671256, -0.08661552400512805, -0.11714602472797574, 0.07938779788909832, -0.06314160944532125, -0.029966634773724788, 0.3429952874142039, 0.11784737889847911, 0.2790227874962462, -0.06642098680373516, 0.29344077364684223, 0.06425846681032363, 0.06643038391484879, 0.03076835560886638, 0.295843319078018, 0.14172665761397765, 0.19011405343189836, -0.29278793991417496, 0.08391682474311811, -0.023353179673420953] |
709.1088 | The Horn conjecture for compact selfadjoint operators | We determine the possible eigenvalues of compact selfadjoint operators
A,B,C... with the property that A=B+C+... When all these operators are
positive, the eigenvalues were known to be subject to certain inequalities
which extend Horn's inequalities from the finite-dimensional case when A=B+C.
We find the proper extension of the Horn inequalities and show that they, along
with their reverse analogues, provide a complete characterization. Our results
also allow us to discuss the more general situation where only some of the
eigenvalues of the operators are specified. A special case is the requirement
that B+C+... be positive of rank at most r.
| math.FA | we determine the possible eigenvalues of compact selfadjoint operators abc with the property that abc when all these operators are positive the eigenvalues were known to be subject to certain inequalities which extend horns inequalities from the finitedimensional case when abc we find the proper extension of the horn inequalities and show that they along with their reverse analogues provide a complete characterization our results also allow us to discuss the more general situation where only some of the eigenvalues of the operators are specified a special case is the requirement that bc be positive of rank at most r | [['we', 'determine', 'the', 'possible', 'eigenvalues', 'of', 'compact', 'selfadjoint', 'operators', 'abc', 'with', 'the', 'property', 'that', 'abc', 'when', 'all', 'these', 'operators', 'are', 'positive', 'the', 'eigenvalues', 'were', 'known', 'to', 'be', 'subject', 'to', 'certain', 'inequalities', 'which', 'extend', 'horns', 'inequalities', 'from', 'the', 'finitedimensional', 'case', 'when', 'abc', 'we', 'find', 'the', 'proper', 'extension', 'of', 'the', 'horn', 'inequalities', 'and', 'show', 'that', 'they', 'along', 'with', 'their', 'reverse', 'analogues', 'provide', 'a', 'complete', 'characterization', 'our', 'results', 'also', 'allow', 'us', 'to', 'discuss', 'the', 'more', 'general', 'situation', 'where', 'only', 'some', 'of', 'the', 'eigenvalues', 'of', 'the', 'operators', 'are', 'specified', 'a', 'special', 'case', 'is', 'the', 'requirement', 'that', 'bc', 'be', 'positive', 'of', 'rank', 'at', 'most', 'r']] | [-0.10125492996303365, 0.08270333643537015, -0.03939394718501717, 0.08037466549896635, -0.11614535953151062, -0.1826813797838986, 0.012122628996148705, 0.3487470942735672, -0.2665008259064052, -0.22532275687903167, 0.15263525187037885, -0.29076290035387503, -0.15216383046470583, 0.21276569227688014, -0.05380407207412645, 0.044625199787551535, 0.07481622620485723, 0.08849695884186076, -0.0869266613892978, -0.26352561596781016, 0.3619248320162296, -0.018044984093867244, 0.1628063960163854, 0.062114302096888424, 0.007703519207425415, -0.0014776625856757165, 0.0009714036516379565, 0.02847440730081871, -0.14448264316997667, 0.13934661925537511, 0.2634495755843818, 0.14024384890682995, 0.24916781556792558, -0.4053822320513427, -0.1420718256291002, 0.1978000737039838, 0.10101468527689576, 0.06207562286988832, -0.006414483444095822, -0.273783017876558, 0.12846005427185447, -0.12165236693224869, -0.16605272226035594, -0.088160167937167, 0.010725679319584742, 0.04808850453235209, -0.31172877015545963, 0.047093529698613565, 0.10959463136270642, 0.03634723027586006, -0.055908019405324014, -0.1498184263368603, -0.03001895810244605, 0.09737929706985597, 0.020300798562821, -0.05217606527963653, 0.04919553993735462, -0.046950913704931735, -0.10450435228762217, 0.3369198860693723, 0.0166019358090125, -0.2746866056323051, 0.1522414430230856, -0.21136126522556878, -0.16329646176658572, 0.06181164862238802, 0.11026912690140307, 0.16210089659813093, -0.11086037978675449, 0.11842403582239058, -0.09567466491833329, 0.08906207704916597, 0.08384802205604501, 0.04749106438190211, 0.12641477327793837, 0.007520823632366955, 0.15742031103931367, 0.14219584061298518, 0.005388422152027488, -0.08310273781477008, -0.3514094074722379, -0.1928090193076059, -0.15327115433407015, 0.07323118810076266, -0.11910924435695051, -0.179071229477413, 0.3978488255990669, 0.12942148506641388, 0.21905079326126725, 0.09314655090798624, 0.20441900158300996, 0.15574488342157566, 0.08775697654811665, 0.07574252174701541, 0.22141383936308556, 0.1906904191360809, 0.05402808998711407, -0.13632602477213368, 0.04145612151827663, 0.05966796468943358] |
709.1089 | Universality of the diffusion wake in the gauge-string duality | As a particle moves through a fluid, it may generate a laminar wake behind
it. In the gauge-string duality, we show that such a diffusion wake is created
by a heavy quark moving through a thermal plasma and that it has a universal
strength when compared to the total drag force exerted on the quark by the
plasma. The universality extends over all asymptotically anti-de Sitter
supergravity constructions with arbitrary scalar matter. We discuss how these
results relate to the linearized hydrodynamic approximation and how they bear
on our understanding of di-hadron correlators in heavy ion collisions.
| hep-th hep-ph nucl-th | as a particle moves through a fluid it may generate a laminar wake behind it in the gaugestring duality we show that such a diffusion wake is created by a heavy quark moving through a thermal plasma and that it has a universal strength when compared to the total drag force exerted on the quark by the plasma the universality extends over all asymptotically antide sitter supergravity constructions with arbitrary scalar matter we discuss how these results relate to the linearized hydrodynamic approximation and how they bear on our understanding of dihadron correlators in heavy ion collisions | [['as', 'a', 'particle', 'moves', 'through', 'a', 'fluid', 'it', 'may', 'generate', 'a', 'laminar', 'wake', 'behind', 'it', 'in', 'the', 'gaugestring', 'duality', 'we', 'show', 'that', 'such', 'a', 'diffusion', 'wake', 'is', 'created', 'by', 'a', 'heavy', 'quark', 'moving', 'through', 'a', 'thermal', 'plasma', 'and', 'that', 'it', 'has', 'a', 'universal', 'strength', 'when', 'compared', 'to', 'the', 'total', 'drag', 'force', 'exerted', 'on', 'the', 'quark', 'by', 'the', 'plasma', 'the', 'universality', 'extends', 'over', 'all', 'asymptotically', 'antide', 'sitter', 'supergravity', 'constructions', 'with', 'arbitrary', 'scalar', 'matter', 'we', 'discuss', 'how', 'these', 'results', 'relate', 'to', 'the', 'linearized', 'hydrodynamic', 'approximation', 'and', 'how', 'they', 'bear', 'on', 'our', 'understanding', 'of', 'dihadron', 'correlators', 'in', 'heavy', 'ion', 'collisions']] | [-0.08298696425368952, 0.26296956726282683, -0.1685703790941055, 0.08897447542253804, -0.053058046554743325, -0.11897720173289328, -0.01997874208309534, 0.32700448305065233, -0.22406389594999784, -0.24245820518045388, 0.021793455833607575, -0.27960296423107234, -0.10422936256149228, 0.1606635509368474, -0.005959155618875604, 0.04457520253802698, 0.04136368227143263, 0.025274479636903276, -0.04094589981802538, -0.2144653224434281, 0.3139737840674664, 0.05852287772505246, 0.24106684814869744, 0.11689613709111035, 0.10458558852083444, 0.0001361235428947149, -0.006249795374988588, 0.04891114083800426, -0.1259345565603016, 0.04356819627231669, 0.18478844993983, 0.04531769334943485, 0.21679319284817913, -0.45705551897972513, -0.24745808894141125, 0.04679235783357596, 0.18142611690744104, 0.147239467537165, -0.10105702509748336, -0.25932761773313445, 0.06115053063162516, -0.21837939338796994, -0.16035724716433852, -0.07857307296284695, 0.00988865364342928, 0.009923564533573412, -0.26134181619842645, 0.056324411068380494, 0.0478854349948773, -0.012622001244849766, -0.03352321626272859, -0.05460274818631792, -0.05938877527525207, 0.04069153351628836, 0.13005187544136396, 0.07462540866096609, 0.22668191950921854, -0.18338019984891907, -0.09732006056373459, 0.3993334557246609, -0.07514407724314898, -0.22926582385469035, 0.22833332086231597, -0.17464731064308242, -0.06611721652569537, 0.09895976535380654, 0.18674688869559197, 0.11095395458612553, -0.12054594702968859, 0.1034578510557695, -0.10870675048934891, 0.11138363433336466, 0.14076093592940225, -0.020030825893327442, 0.2727141607667982, 0.137534970472826, 0.0171282845303253, 0.1471262052464695, -0.044307006294420526, -0.12421205771376484, -0.3724962245749751, -0.11776806144811905, -0.12485304332851942, 0.06142652111089567, -0.11900733915348441, -0.16855871423445257, 0.364323729572376, 0.16486541002859198, 0.18974797685448194, 0.012854455384550635, 0.3093534416576713, 0.06300438574476878, 0.05214737611102689, 0.15449386208615812, 0.2885511650022158, 0.17643154671262065, 0.16678285846347468, -0.2777756536523475, -0.009596986710525973, 0.13916609759356097] |
709.109 | Thermodynamic scaling of diffusion in supercooled Lennard-Jones liquids | The manner in which the intermolecular potential u(r) governs structural
relaxation in liquids is a long standing problem in condensed matter physics.
Herein we show that diffusion coefficients for simulated Lennard-Jones m-6
liquids (8<m<36) in normal and moderately supercooled states are a unique
function of the variable rho^g/T, where rho is density and T is temperature.
The scaling exponent g is a material specific constant whose magnitude is
related to the steepness of the repulsive part of u(r), evaluated around the
distance of closest approach between particles probed in the supercooled
regime. Approximations of u(r) in terms of inverse power laws are also
discussed.
| cond-mat.stat-mech cond-mat.soft | the manner in which the intermolecular potential ur governs structural relaxation in liquids is a long standing problem in condensed matter physics herein we show that diffusion coefficients for simulated lennardjones m6 liquids 8m36 in normal and moderately supercooled states are a unique function of the variable rhogt where rho is density and t is temperature the scaling exponent g is a material specific constant whose magnitude is related to the steepness of the repulsive part of ur evaluated around the distance of closest approach between particles probed in the supercooled regime approximations of ur in terms of inverse power laws are also discussed | [['the', 'manner', 'in', 'which', 'the', 'intermolecular', 'potential', 'ur', 'governs', 'structural', 'relaxation', 'in', 'liquids', 'is', 'a', 'long', 'standing', 'problem', 'in', 'condensed', 'matter', 'physics', 'herein', 'we', 'show', 'that', 'diffusion', 'coefficients', 'for', 'simulated', 'lennardjones', 'm6', 'liquids', '8m36', 'in', 'normal', 'and', 'moderately', 'supercooled', 'states', 'are', 'a', 'unique', 'function', 'of', 'the', 'variable', 'rhogt', 'where', 'rho', 'is', 'density', 'and', 't', 'is', 'temperature', 'the', 'scaling', 'exponent', 'g', 'is', 'a', 'material', 'specific', 'constant', 'whose', 'magnitude', 'is', 'related', 'to', 'the', 'steepness', 'of', 'the', 'repulsive', 'part', 'of', 'ur', 'evaluated', 'around', 'the', 'distance', 'of', 'closest', 'approach', 'between', 'particles', 'probed', 'in', 'the', 'supercooled', 'regime', 'approximations', 'of', 'ur', 'in', 'terms', 'of', 'inverse', 'power', 'laws', 'are', 'also', 'discussed']] | [-0.13130732192475275, 0.1959574812493634, -0.12140922578435172, 0.036682271470507496, -0.002791512564084876, -0.15724175546190464, 7.902935156416075e-05, 0.3409170566729325, -0.30373821402078166, -0.2600481363433395, 0.040989062399032765, -0.30022566775590476, -0.15144046429115549, 0.1432157846752043, 0.015819587555312205, 0.046563928782501644, -0.05824526218587861, 0.03676620416580608, -0.08181263744493253, -0.20476213698366694, 0.25715223688394856, -0.002094951853174351, 0.23690029586592287, 0.09322193158589595, 0.06541846323685319, -0.029845836996922597, 0.029625602293355556, 0.028816817100068517, -0.1715607738682878, 0.018178124337425165, 0.252307993776448, -0.003572278662913424, 0.23901911806223877, -0.3595445219486696, -0.22795554257783235, 0.10795537651317906, 0.14096353804423273, 0.03040343213840114, -0.014440134779422307, -0.23242111335618093, 0.030993988157669995, -0.130367282663892, -0.17090359812273698, -0.01823900855721577, 0.11901911020315453, 0.06799807470730122, -0.24846222389982464, 0.2084494528538141, 0.020091404216181413, 0.028257373566328382, -0.10484688633176334, -0.12021912090644679, 0.01457271491652172, 0.06131378423842583, 0.05811630884030213, 0.042137593578766376, 0.18086527069595726, -0.20916681167870468, -0.024501700059273372, 0.41949931822498054, -0.0733645145927428, -0.16620812711178087, 0.2242236258781643, -0.16696933336902922, -0.07265423652350757, 0.12919055808372065, 0.15195480617238025, 0.1202194150217681, -0.15369235204678833, 0.12658712561767294, -0.026763035120287288, 0.177027147979471, 0.04650635878508682, 0.02926684933824136, 0.21770754255190053, 0.19550434376487472, 0.035588213858906835, 0.13629245814666444, -0.07287953224138119, -0.11556972613941659, -0.28992724326420943, -0.1533635675121902, -0.25904459173918937, 0.030525814075315117, -0.12326532725088399, -0.15198145527392626, 0.3515024421115716, 0.07223994008681449, 0.17623916601616085, 0.03345686559880372, 0.20614161014935806, 0.13383073303118057, 0.03233510346891468, 0.08401884467286222, 0.25601851522429464, 0.16088187126397138, 0.07560222422448444, -0.27512165220618684, 0.07109395686683118, 0.07704575097772713] |
709.1091 | Geometry of invariant domains in complex semi-simple Lie groups | We investigate the joint action of two real forms of a semi-simple complex
Lie group S by left and right multiplication. After analyzing the orbit
structure, we study the CR structure of closed orbits. The main results are an
explicit formula of the Levi form of closed orbits and the determination of the
Levi cone of generic orbits. Finally, we apply these results to prove
q-completeness of certain invariant domains in S.
| math.CV | we investigate the joint action of two real forms of a semisimple complex lie group s by left and right multiplication after analyzing the orbit structure we study the cr structure of closed orbits the main results are an explicit formula of the levi form of closed orbits and the determination of the levi cone of generic orbits finally we apply these results to prove qcompleteness of certain invariant domains in s | [['we', 'investigate', 'the', 'joint', 'action', 'of', 'two', 'real', 'forms', 'of', 'a', 'semisimple', 'complex', 'lie', 'group', 's', 'by', 'left', 'and', 'right', 'multiplication', 'after', 'analyzing', 'the', 'orbit', 'structure', 'we', 'study', 'the', 'cr', 'structure', 'of', 'closed', 'orbits', 'the', 'main', 'results', 'are', 'an', 'explicit', 'formula', 'of', 'the', 'levi', 'form', 'of', 'closed', 'orbits', 'and', 'the', 'determination', 'of', 'the', 'levi', 'cone', 'of', 'generic', 'orbits', 'finally', 'we', 'apply', 'these', 'results', 'to', 'prove', 'qcompleteness', 'of', 'certain', 'invariant', 'domains', 'in', 's']] | [-0.2526549848295014, 0.057250005827805116, -0.07032325592311756, 0.03913970323095859, -0.09638186127052341, -0.07654845202341676, 0.00018736069143133265, 0.3590020721148647, -0.2906618589194308, -0.2020066819993228, 0.09697682987800209, -0.21108999981157134, -0.16994855082003582, 0.22535980012084186, -0.06531089749252818, 0.004001684040880539, 0.07601144092000077, 0.11636773845620296, -0.15867269556628358, -0.24448569946017273, 0.44407449872560906, -0.05075942081543551, 0.1641737782514431, 0.036043905167722365, 0.08137639116128566, 0.012323700855682853, -0.028795789901009748, -0.05892687035121129, -0.15814217079011067, 0.18355742445818976, 0.20298664119671767, 0.09852424540399561, 0.19270523552271263, -0.40736205544007914, -0.10513368614909935, 0.11379869038921217, 0.11963048410064107, 0.014334304782916123, -0.027692539017306457, -0.3239488664909568, 0.15043355840664935, -0.17239600358347237, -0.20825688796065434, -0.08413018354437721, 0.07889286401143795, -0.0020976773377927678, -0.22250516249299784, 0.019890231329580427, 0.14982435071814648, 0.1038583431681487, -0.14382089156998504, -0.09469398957493544, -0.04103801398813515, 0.12828122249240398, 0.0416952799087469, -0.030116158180122435, 0.11529525978044725, -0.06659227988722038, -0.09881308693176424, 0.4036624235376506, -0.06998384097659908, -0.1895882250137732, 0.14822500649655998, -0.24072694741058306, -0.1291057495072379, 0.09719686900121226, 0.1554706999900895, 0.17012350457969685, -0.09184598868456997, 0.20402371203756406, -0.11257065990021531, 0.00771496056670874, 0.10793329339185861, -0.06108254132608713, 0.1455427619143271, 0.08479887268073122, 0.07752190300748801, 0.09290918804259157, -0.018098232756093353, -0.031668390337587664, -0.33166136587379685, -0.19885907610747175, -0.09165033681685446, 0.11596912153833382, -0.1027031177519591, -0.1717539647279281, 0.4471356651096434, 0.0418191125065508, 0.2658709055534236, 0.05618098925169505, 0.22548666864003933, 0.08637058298090394, 0.017297808749889825, 0.09747530367474636, 0.12694460129968718, 0.2055555738764487, -0.0876175037414675, -0.1983081711600469, -0.02888971113298141, 0.13462892534132576] |
709.1092 | Persistence in a Random Bond Ising Model of Socio-Econo Dynamics | We study the persistence phenomenon in a socio-econo dynamics model using
computer simulations at a finite temperature on hypercubic lattices in
dimensions up to 5. The model includes a ` social\rq local field which contains
the magnetization at time $t$. The nearest neighbour quenched interactions are
drawn from a binary distribution which is a function of the bond concentration,
$p$. The decay of the persistence probability in the model depends on both the
spatial dimension and $p$. We find no evidence of ` blocking\rq in this model.
We also discuss the implications of our results for possible applications in
the social and economic fields. It is suggested that the absence, or otherwise,
of blocking could be used as a criterion to decide on the validity of a given
model in different scenarios.
| q-fin.GN cond-mat.dis-nn physics.comp-ph physics.soc-ph q-fin.ST | we study the persistence phenomenon in a socioecono dynamics model using computer simulations at a finite temperature on hypercubic lattices in dimensions up to 5 the model includes a socialrq local field which contains the magnetization at time t the nearest neighbour quenched interactions are drawn from a binary distribution which is a function of the bond concentration p the decay of the persistence probability in the model depends on both the spatial dimension and p we find no evidence of blockingrq in this model we also discuss the implications of our results for possible applications in the social and economic fields it is suggested that the absence or otherwise of blocking could be used as a criterion to decide on the validity of a given model in different scenarios | [['we', 'study', 'the', 'persistence', 'phenomenon', 'in', 'a', 'socioecono', 'dynamics', 'model', 'using', 'computer', 'simulations', 'at', 'a', 'finite', 'temperature', 'on', 'hypercubic', 'lattices', 'in', 'dimensions', 'up', 'to', '5', 'the', 'model', 'includes', 'a', 'socialrq', 'local', 'field', 'which', 'contains', 'the', 'magnetization', 'at', 'time', 't', 'the', 'nearest', 'neighbour', 'quenched', 'interactions', 'are', 'drawn', 'from', 'a', 'binary', 'distribution', 'which', 'is', 'a', 'function', 'of', 'the', 'bond', 'concentration', 'p', 'the', 'decay', 'of', 'the', 'persistence', 'probability', 'in', 'the', 'model', 'depends', 'on', 'both', 'the', 'spatial', 'dimension', 'and', 'p', 'we', 'find', 'no', 'evidence', 'of', 'blockingrq', 'in', 'this', 'model', 'we', 'also', 'discuss', 'the', 'implications', 'of', 'our', 'results', 'for', 'possible', 'applications', 'in', 'the', 'social', 'and', 'economic', 'fields', 'it', 'is', 'suggested', 'that', 'the', 'absence', 'or', 'otherwise', 'of', 'blocking', 'could', 'be', 'used', 'as', 'a', 'criterion', 'to', 'decide', 'on', 'the', 'validity', 'of', 'a', 'given', 'model', 'in', 'different', 'scenarios']] | [-0.11939038742263984, 0.12536762943298843, -0.09019561348286802, 0.08736627292727656, -0.007874550998181575, -0.10028575632471855, 0.08546385823888338, 0.3653353472555599, -0.24883359418375287, -0.2735253220834718, 0.09003910797054139, -0.2687944867464853, -0.14983604647270513, 0.17015503152955588, 0.020698558795815846, -0.004444637274879258, -0.004434590096820117, 0.08983075343013748, -0.04389106670044377, -0.2659922149729013, 0.2883345553409455, 0.03366447973186994, 0.26020652132006145, 0.08764065085638931, 0.06994490720707269, 0.032519157196754425, -0.0019268304380903563, 0.04417153060670913, -0.15017481228020674, 0.05980244733935853, 0.16913632507157314, 0.0910687215862737, 0.265202113610553, -0.392552747530496, -0.23424045033899582, 0.12459442367425233, 0.11245106958681497, 0.1425040095813543, -0.04992550453556129, -0.24748771118942473, 0.0842083582111935, -0.16668257368068526, -0.15371289126222998, -0.03024628499291808, 0.04592845331488235, 0.0196605827127708, -0.298629366514075, 0.0879109957579461, 0.07385568900902821, 0.08568707899021821, -0.06400608890836575, -0.09353999181386582, -0.029245093199021115, 0.12242680673435236, 0.03978047000911585, 0.032082869402704925, 0.09194708666874199, -0.15153866778581593, -0.13423124295806027, 0.39598831708550336, -0.05923751876579495, -0.18967298458834037, 0.23287950673939908, -0.15965109734656655, -0.1340255666172176, 0.09511149516989162, 0.19438171456751274, 0.10057339632854335, -0.11693306070730441, 0.10397818842884446, -0.05401524428762202, 0.17907771490895608, 0.03071243048638223, -0.007489566112809822, 0.20453427797256726, 0.19206419162906882, 0.044809726055887504, 0.15054970964015732, -0.11085428502667313, -0.1259358554760427, -0.3089970186000734, -0.13505656815199987, -0.20319818069894366, 0.04584546987055324, -0.11988872813961952, -0.14235813513134174, 0.3958505896262927, 0.1879662743175593, 0.21508084764836108, 0.03330874018642435, 0.22886701888133457, 0.09517119806553201, 0.07861844116939216, 0.05656673163578912, 0.19224874166346442, 0.10800463456374512, 0.07048971947707881, -0.20663839893041575, 0.09226263747513881, 0.039311914167579586] |
709.1093 | Holographic description of glueballs in a deformed AdS-dilaton
background | We investigate the mass spectra of scalar and vector glueballs in the
so-called bottom-up approach of the AdS/QCD correspondence. The holographic
model of QCD includes a static dilaton background field. We study the
constraints on the masses coming from perturbing the dilaton field and the
geometry of the bulk.
| hep-ph | we investigate the mass spectra of scalar and vector glueballs in the socalled bottomup approach of the adsqcd correspondence the holographic model of qcd includes a static dilaton background field we study the constraints on the masses coming from perturbing the dilaton field and the geometry of the bulk | [['we', 'investigate', 'the', 'mass', 'spectra', 'of', 'scalar', 'and', 'vector', 'glueballs', 'in', 'the', 'socalled', 'bottomup', 'approach', 'of', 'the', 'adsqcd', 'correspondence', 'the', 'holographic', 'model', 'of', 'qcd', 'includes', 'a', 'static', 'dilaton', 'background', 'field', 'we', 'study', 'the', 'constraints', 'on', 'the', 'masses', 'coming', 'from', 'perturbing', 'the', 'dilaton', 'field', 'and', 'the', 'geometry', 'of', 'the', 'bulk']] | [-0.12240204796651188, 0.14919432871309773, -0.11572501774193072, 0.09265176890113828, -0.0915489981749228, -0.08675213740682419, -0.005616793123891159, 0.30120167951099575, -0.1752906045211213, -0.261824768316951, 0.018320239118148327, -0.29013664606122336, -0.10142497103946398, 0.0824976034072817, 0.015476256019758935, 0.05790629735862722, -0.057035493593168805, 0.09942540914124372, -0.11896564768228148, -0.18094628557030643, 0.4364883664577287, 0.004597599257011802, 0.24902575645519762, 0.08460008090704071, 0.07146895629334815, 0.04305804225293045, -0.05180808674182971, 0.015103779885233665, -0.16046080457008616, 0.11540052606439104, 0.08844647214424853, 0.12184037830756635, 0.1005338266853015, -0.36943815017537196, -0.24790683985516734, 0.08051890016970586, 0.09508383048850359, 0.17360402209380146, -0.06491587755070734, -0.3034991774023796, 0.0487289554534518, -0.1589855016304218, -0.129091546281564, -0.0746962304027485, -0.09125351605043576, -0.09642269375391913, -0.27980901088983734, 0.08322056246047117, -0.023123755366826544, 0.007228316577645589, -0.14946076760486682, -0.10233551020524939, -0.07493844981856491, 0.05847782709122616, 0.1732175030284656, 0.07331903758743892, 0.17311553157181764, -0.271406957309465, -0.11519351147580892, 0.39656021620850174, -0.14966592280555288, -0.15376402038548673, 0.13343773485750568, -0.15315664778178445, -0.10705736818324242, 0.05601188743353954, 0.23050855305425974, 0.17351962254401676, -0.16373776070469495, 0.2327907968820928, -0.04964272534398704, 0.14508268754093015, 0.0657796358727679, 0.04548267664729941, 0.35430591918376025, 0.13526848874919647, -0.07800950427368587, 0.18284358451028868, -0.041019055483938784, -0.12664297628881677, -0.39476142930133, -0.10440208869321006, -0.13813583455903797, 0.04787221153703879, -0.1815828420405932, -0.1544961897770361, 0.42956165045651856, 0.1277826715032665, 0.2225075206168148, 0.05866555016183732, 0.29519497040583165, 0.06913750993125901, 0.07143850185509239, 0.038323451641338824, 0.34351537275907335, 0.21814908895033355, 0.154898302791146, -0.308328696901967, -0.17175183509362443, 0.11067070032717014] |
709.1094 | Response Uniformity of the ATLAS Liquid Argon Electromagnetic
Calorimeter | The construction of the ATLAS electromagnetic liquid argon calorimeter
modules is completed and all the modules are assembled and inserted in the
cryostats. During the production period four barrel and three endcap modules
were exposed to test beams in order to assess their performance, ascertain the
production quality and reproducibility, and to scrutinize the complete energy
reconstruction chain from the readout and calibration electronics to the signal
and energy reconstruction. It was also possible to check the full Monte Carlo
simulation of the calorimeter. The analysis of the uniformity, resolution and
extraction of constant term is presented. Typical non-uniformities of 0.5% and
typical global constant terms of 0.6% are measured for the barrel and end-cap
modules.
| physics.ins-det | the construction of the atlas electromagnetic liquid argon calorimeter modules is completed and all the modules are assembled and inserted in the cryostats during the production period four barrel and three endcap modules were exposed to test beams in order to assess their performance ascertain the production quality and reproducibility and to scrutinize the complete energy reconstruction chain from the readout and calibration electronics to the signal and energy reconstruction it was also possible to check the full monte carlo simulation of the calorimeter the analysis of the uniformity resolution and extraction of constant term is presented typical nonuniformities of 05 and typical global constant terms of 06 are measured for the barrel and endcap modules | [['the', 'construction', 'of', 'the', 'atlas', 'electromagnetic', 'liquid', 'argon', 'calorimeter', 'modules', 'is', 'completed', 'and', 'all', 'the', 'modules', 'are', 'assembled', 'and', 'inserted', 'in', 'the', 'cryostats', 'during', 'the', 'production', 'period', 'four', 'barrel', 'and', 'three', 'endcap', 'modules', 'were', 'exposed', 'to', 'test', 'beams', 'in', 'order', 'to', 'assess', 'their', 'performance', 'ascertain', 'the', 'production', 'quality', 'and', 'reproducibility', 'and', 'to', 'scrutinize', 'the', 'complete', 'energy', 'reconstruction', 'chain', 'from', 'the', 'readout', 'and', 'calibration', 'electronics', 'to', 'the', 'signal', 'and', 'energy', 'reconstruction', 'it', 'was', 'also', 'possible', 'to', 'check', 'the', 'full', 'monte', 'carlo', 'simulation', 'of', 'the', 'calorimeter', 'the', 'analysis', 'of', 'the', 'uniformity', 'resolution', 'and', 'extraction', 'of', 'constant', 'term', 'is', 'presented', 'typical', 'nonuniformities', 'of', '05', 'and', 'typical', 'global', 'constant', 'terms', 'of', '06', 'are', 'measured', 'for', 'the', 'barrel', 'and', 'endcap', 'modules']] | [-0.07855143091352336, 0.10730876645137524, -0.023659663917175656, 0.030594432945282937, 0.0047500552007414655, -0.11874000468805175, -0.04871842362677101, 0.3747922149005121, -0.23860120763681059, -0.38742587317166655, 0.13485730313174105, -0.32178681505972456, 0.029249460500632894, 0.1683303948957473, -0.010096495517465318, 0.10227237088637876, 0.12196312768481157, -0.0017734766889620445, -0.09368099709059481, -0.24410817245471067, 0.21474096066206053, 0.196039785181397, 0.317100854413905, 0.04836884000868504, 0.15181031291662106, 0.008535062653365833, -0.09362865786960324, -0.03740896088681344, -0.1523212433897023, 0.05584620980642222, 0.26490698713841365, 0.07918836617770059, 0.1515668553926436, -0.42801572135970767, -0.09461084756360927, 0.08793119503313611, 0.09554067643455647, 0.0029316401382073246, -0.05277825503385272, -0.24137473764732995, 0.13771995275827317, -0.20937112086966378, -0.10865249314570222, -0.02699805061927001, -0.04140769736841321, 0.035085259968613614, -0.24380173306141434, 0.01017395015941443, 0.006382855518464127, 0.06399940685288788, -0.08081418341266569, -0.12515732562490578, -0.027793245703174638, 0.1417474344730024, -0.004483466250380373, 0.023610072928994637, 0.19171874840133662, -0.13408232587871366, -0.09628038366269, 0.3062691740322344, 0.0006653797553836143, -0.17371809607821292, 0.19813624583987582, -0.21868450873820433, -0.04750251601819463, 0.18805080582387745, 0.16017460770070038, 0.04107860607586315, -0.19572823073169024, 0.02088101710702678, 0.07380610282115381, 0.1785167724351752, 0.0978463269601544, 0.023588327333684368, 0.17751901182707336, 0.24021953545763672, -0.009120950808523801, 0.1615872107062826, -0.17526134738853152, -0.015569229765317468, -0.35983317761264483, -0.2210282706356997, -0.10028265622255778, -0.020060829144846328, -0.028922017936314784, -0.13511180514790888, 0.4515512537789242, 0.11795018659177788, 0.13060443485476847, -0.0014722099856890995, 0.31881930917935, 0.006558636875807083, 0.11119665346544433, -0.004713000288104703, 0.3063069380065105, 0.16779673041109444, 0.13038882300064997, -0.20184159198382484, 0.04308250679931571, 0.04036427339025099] |
709.1095 | HST/NICMOS Observations of Fast Infrared Flickering in the Microquasar
GRS 1915+105 | We report infrared observations of the microquasar GRS 1915+105 using the
NICMOS instrument of the Hubble Space Telescope during 9 visits in April-June
2003. During epochs of high X-ray/radio activity near the beginning and end of
this period, we find that the $1.87 $\um infrared flux is generally low ($\sim
2$ mJy) and relatively steady. However, during the X-ray/radio ``plateau''
state between these epochs, we find that the infrared flux is significantly
higher ($\sim 4-6$ mJy), and strongly variable. In particular, we find events
with amplitudes $\sim 20-30$% occurring on timescales of $\sim 10-20$s
(e-folding timescales of $\sim 30$s). These flickering timescales are several
times faster than any previously-observed infrared variability in GRS 1915+105
and the IR variations exceed corresponding X-ray variations at the same ($\sim
8s$) timescale. These results suggest an entirely new type of infrared
variability from this object. Based on the properties of this flickering, we
conclude that it arises in the plateau-state jet outflow itself, at a distance
$<2.5$ AU from the accretion disk. We discuss the implications of this work and
the potential of further flickering observations for understanding jet
formation around black holes.
| astro-ph | we report infrared observations of the microquasar grs 1915105 using the nicmos instrument of the hubble space telescope during 9 visits in apriljune 2003 during epochs of high xrayradio activity near the beginning and end of this period we find that the 187 um infrared flux is generally low sim 2 mjy and relatively steady however during the xrayradio plateau state between these epochs we find that the infrared flux is significantly higher sim 46 mjy and strongly variable in particular we find events with amplitudes sim 2030 occurring on timescales of sim 1020s efolding timescales of sim 30s these flickering timescales are several times faster than any previouslyobserved infrared variability in grs 1915105 and the ir variations exceed corresponding xray variations at the same sim 8s timescale these results suggest an entirely new type of infrared variability from this object based on the properties of this flickering we conclude that it arises in the plateaustate jet outflow itself at a distance 25 au from the accretion disk we discuss the implications of this work and the potential of further flickering observations for understanding jet formation around black holes | [['we', 'report', 'infrared', 'observations', 'of', 'the', 'microquasar', 'grs', '1915105', 'using', 'the', 'nicmos', 'instrument', 'of', 'the', 'hubble', 'space', 'telescope', 'during', '9', 'visits', 'in', 'apriljune', '2003', 'during', 'epochs', 'of', 'high', 'xrayradio', 'activity', 'near', 'the', 'beginning', 'and', 'end', 'of', 'this', 'period', 'we', 'find', 'that', 'the', '187', 'um', 'infrared', 'flux', 'is', 'generally', 'low', 'sim', '2', 'mjy', 'and', 'relatively', 'steady', 'however', 'during', 'the', 'xrayradio', 'plateau', 'state', 'between', 'these', 'epochs', 'we', 'find', 'that', 'the', 'infrared', 'flux', 'is', 'significantly', 'higher', 'sim', '46', 'mjy', 'and', 'strongly', 'variable', 'in', 'particular', 'we', 'find', 'events', 'with', 'amplitudes', 'sim', 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709.1096 | Remarks on Our Understanding of Quantum Mechanics | Interpretations of key concepts, such as uncertainty relations, kinetic
energy, value of an observable, probability distributions, the projection or
collapse of a wave function postulate, and discrete versus continuous values,
that appear in several excellent textbooks on quantum mechanics are reviewed
and found not to be consistent with our current understanding of quantum
theory. Possible alternatives are suggested.
| quant-ph | interpretations of key concepts such as uncertainty relations kinetic energy value of an observable probability distributions the projection or collapse of a wave function postulate and discrete versus continuous values that appear in several excellent textbooks on quantum mechanics are reviewed and found not to be consistent with our current understanding of quantum theory possible alternatives are suggested | [['interpretations', 'of', 'key', 'concepts', 'such', 'as', 'uncertainty', 'relations', 'kinetic', 'energy', 'value', 'of', 'an', 'observable', 'probability', 'distributions', 'the', 'projection', 'or', 'collapse', 'of', 'a', 'wave', 'function', 'postulate', 'and', 'discrete', 'versus', 'continuous', 'values', 'that', 'appear', 'in', 'several', 'excellent', 'textbooks', 'on', 'quantum', 'mechanics', 'are', 'reviewed', 'and', 'found', 'not', 'to', 'be', 'consistent', 'with', 'our', 'current', 'understanding', 'of', 'quantum', 'theory', 'possible', 'alternatives', 'are', 'suggested']] | [-0.06602803062936612, 0.14799116204461638, -0.1113894762118058, 0.1474329405624805, -0.05284014922277681, -0.10719744294303758, 0.013354296312298113, 0.349730953766868, -0.25347555846232794, -0.3230253082764303, 0.06423803640264568, -0.26506014013309676, -0.12669115277922488, 0.21713243917449668, -0.04338567792277398, 0.11648812811999333, 0.020982422665211147, 0.050001159792059456, -0.11412413819424069, -0.17084919330503406, 0.29127525912140145, 0.05744630020063628, 0.29881195272800737, 0.0248122268982617, 0.08531753156847995, -0.02928046721981132, -0.05883484313681979, 0.06460653861647407, -0.13211776202623352, 0.07777363337488075, 0.2698331126373197, 0.15914924008418516, 0.259043527389716, -0.44611897364515685, -0.24102177947823858, 0.08574138655616291, 0.09140092441169866, 0.0821545103821775, -0.04451051297806332, -0.27533700204743394, -0.01323651979227775, -0.18212119806236748, -0.13725370724268002, -0.07833047110009296, 0.038265369736172, 0.0515703324164296, -0.21438827046899703, 0.12149524625294425, 0.041872623344433715, 0.022442779118387865, -0.06257255126095923, -0.16911156122283688, -0.00708533100510851, 0.07537937933049196, 0.05825521063123797, 0.041925063252384806, 0.14703920508477966, -0.1385399389626651, -0.19655219491185813, 0.4136468297320193, -0.0013939685967012212, -0.2088818160078392, 0.19647376722624077, -0.1315375316952323, -0.12390549760311842, 0.0724455493879665, 0.07487617182577479, 0.058351427172150076, -0.12725980872497092, 0.024615706954199564, -0.0030857187789636023, 0.14451596145678697, 0.040326549173814466, 0.12055660386826715, 0.2924548518233772, 0.11017609098605041, -0.0007442880807251766, 0.015538824816507384, -0.014138629521516248, -0.20927023417256163, -0.39179033291494025, -0.18457855343625978, -0.20369238390362468, 0.07686777085824549, -0.05467333161254044, -0.17585397659447685, 0.323581595278891, 0.1691826834094486, 0.19436378027151885, 0.027727379784758747, 0.2509712138181103, 0.17279400390920086, 0.03191190255516819, 0.017711470024017937, 0.25876461656699923, 0.1673479956486423, 0.04397864680705142, -0.15902227982236394, 0.08341399043826547, 0.012023534352794803] |
709.1097 | Characterizations of Sobolev inequalities on metric spaces | We present isocapacitary characterizations of Sobolev inequalities in very
general metric measure spaces.
| math.AP math.FA | we present isocapacitary characterizations of sobolev inequalities in very general metric measure spaces | [['we', 'present', 'isocapacitary', 'characterizations', 'of', 'sobolev', 'inequalities', 'in', 'very', 'general', 'metric', 'measure', 'spaces']] | [-0.1259931825244656, 0.024577573496991627, -0.08128156756552365, 0.27401770708652645, -0.08872732018622068, -0.17168476461217955, -0.01132232489852378, 0.4255716777764834, -0.28088698937342715, -0.16054603930276173, 0.11664621058242539, -0.30524985320292986, -0.12646593554661825, 0.23784254412524974, -0.2519050448273237, 0.07235700637102127, 0.02754252669043266, -0.03690240933344914, -0.22117453433859807, -0.2561367853329732, 0.5031784188288909, -0.05870924037522995, 0.2160878902516113, 0.11623440869152546, 0.05110467397249662, -0.07397393932422766, -0.054512379404443964, 0.06335567754621689, -0.38771095556708485, 0.25461260315317374, 0.3299521769468601, 0.17448503581377175, 0.3214027766997998, -0.30102353256482345, -0.16792098060250282, 0.22995619217936808, 0.0047827099378292375, -0.07443968636485246, -0.08418066407186696, -0.39845700877217144, -0.04807836003601551, -0.011464136724288646, -0.1786090820454634, -0.2674089354964403, 0.03554419768401063, 0.05427602979426201, -0.2651365648668546, 0.11347404810098502, 0.08397157246676776, 0.06568258600488591, -0.23388396490078706, -0.01290110053602033, 0.15530641076083368, -0.03289539617701219, -0.014617951586842537, 0.0721367963661368, 0.006881020855731689, 0.018470547520197354, -0.13205400736142808, 0.2962319885308926, -0.1405195676936553, -0.3250545992587621, 0.068965984078554, -0.267567220215614, -0.23903504730417177, -0.06521319769895993, 0.22751311012185538, 0.25144814585263914, -0.14959352979293236, 0.16329955449327826, -0.07113074224728805, 0.03125144068438273, 0.13046130158293706, 0.26551909478327546, -0.09434514005596821, 0.05691522037467131, 0.2298523746430874, 0.23476430530158374, 0.023217159681595288, -0.07174450396828783, -0.37463681084605366, -0.24899228719564584, -0.15852282368219817, 0.10882821134649791, -0.3053220570660554, -0.2168898656964302, 0.26807841228751034, -0.015935812145471573, 0.09887002358356348, 0.20149893349466416, 0.09337550229751147, 0.022279412606551956, -0.0015191275966711915, 0.06489600183872077, 0.26930202314486873, 0.2864386634184764, 0.14808000932232693, 0.045951891117371045, 0.05336986149016481, 0.28359171454436505] |
709.1098 | I-V analysis of high-energy lithium-ion-irradiated Si and GaAs solar
cells | Space-grade Si and GaAs solar cells were irradiated with 15 and 40 MeV
lithium ions. Dark-IV analysis (with and without illumination) reveals
differences in the effects of such irradiation on the different cell types
| cond-mat.mtrl-sci nucl-ex physics.space-ph | spacegrade si and gaas solar cells were irradiated with 15 and 40 mev lithium ions darkiv analysis with and without illumination reveals differences in the effects of such irradiation on the different cell types | [['spacegrade', 'si', 'and', 'gaas', 'solar', 'cells', 'were', 'irradiated', 'with', '15', 'and', '40', 'mev', 'lithium', 'ions', 'darkiv', 'analysis', 'with', 'and', 'without', 'illumination', 'reveals', 'differences', 'in', 'the', 'effects', 'of', 'such', 'irradiation', 'on', 'the', 'different', 'cell', 'types']] | [0.007711195023148321, 0.22835270201903768, 0.10057652572868392, 0.001171636744402349, 0.09757181325676356, -0.1602298239195079, 0.09375966694642557, 0.4688944125082344, -0.1682460878510028, -0.48446184815838933, 0.031209146920446074, -0.38858720174175687, -0.040890105767175555, 0.2049962650053203, -0.08229923636827152, 0.0012836512178182602, 0.0700986461379216, -0.10315674089360982, -0.06545560693484731, -0.18980349714547629, 0.24022677916218527, 0.05595201131654903, 0.2767380091827363, 0.08173498153337277, 0.04428059857673361, -0.05577705957693979, 0.023030249183648266, -0.021931761177256703, -0.07193581311730668, 0.04606291359232273, 0.17990619165357202, -0.018743434760835953, 0.1836990554293152, -0.5343538338784128, -0.2665164409263525, -0.03414995921775699, 0.09302921779453754, 0.06975900773977628, -0.15774944886288722, -0.19943548360606655, 0.066528768860735, -0.05303890108552878, -0.07344284711871296, 0.10460794641403481, -0.012626476156583522, 0.07438695733435452, -0.2734537628130056, 0.04906198450771626, -0.008050169228226878, 0.17491962562780827, -0.1507228619302623, -0.20667129536741413, -0.05812409755890258, 0.08759369005565532, 0.028471561847254634, -0.0588796429510694, 0.2904911195510067, 0.022784240485634655, -0.04943550779717043, 0.39400220615789294, -0.03609758364473237, -0.09275566108408384, 0.22343388543231413, -0.22875402629142627, -0.033116012331447564, 0.1845263926370535, 0.09553784944000654, 0.08451731396417017, -0.12519997062918264, -0.012525620119049563, 0.05879237817134708, 0.21936474094400182, 0.1875004844914656, 0.09382638800889254, 0.19467563423677348, 0.22188355267280713, -0.08420085033867508, 0.06402704890933819, -0.2536213350467733, -0.0018068784120259807, -0.15209384891204536, -0.16569431335665286, -0.005370016835513525, 0.08504206902944134, -0.13365616572127692, -0.15060538114630617, 0.4312979409296531, 0.06957193212292623, 0.13819368617259897, -0.09586102355387993, 0.24229826124792453, 0.0012673273959080689, 0.10332745802588761, 0.01003366251825355, 0.2640745514072478, 0.166526987164616, 0.1396900004328927, -0.2937125856988132, 0.06874674752179999, -0.09580034177633934] |
709.1099 | Multi-Sensor Fusion Method using Dynamic Bayesian Network for Precise
Vehicle Localization and Road Matching | This paper presents a multi-sensor fusion strategy for a novel road-matching
method designed to support real-time navigational features within advanced
driving-assistance systems. Managing multihypotheses is a useful strategy for
the road-matching problem. The multi-sensor fusion and multi-modal estimation
are realized using Dynamical Bayesian Network. Experimental results, using data
from Antilock Braking System (ABS) sensors, a differential Global Positioning
System (GPS) receiver and an accurate digital roadmap, illustrate the
performances of this approach, especially in ambiguous situations.
| cs.AI cs.RO | this paper presents a multisensor fusion strategy for a novel roadmatching method designed to support realtime navigational features within advanced drivingassistance systems managing multihypotheses is a useful strategy for the roadmatching problem the multisensor fusion and multimodal estimation are realized using dynamical bayesian network experimental results using data from antilock braking system abs sensors a differential global positioning system gps receiver and an accurate digital roadmap illustrate the performances of this approach especially in ambiguous situations | [['this', 'paper', 'presents', 'a', 'multisensor', 'fusion', 'strategy', 'for', 'a', 'novel', 'roadmatching', 'method', 'designed', 'to', 'support', 'realtime', 'navigational', 'features', 'within', 'advanced', 'drivingassistance', 'systems', 'managing', 'multihypotheses', 'is', 'a', 'useful', 'strategy', 'for', 'the', 'roadmatching', 'problem', 'the', 'multisensor', 'fusion', 'and', 'multimodal', 'estimation', 'are', 'realized', 'using', 'dynamical', 'bayesian', 'network', 'experimental', 'results', 'using', 'data', 'from', 'antilock', 'braking', 'system', 'abs', 'sensors', 'a', 'differential', 'global', 'positioning', 'system', 'gps', 'receiver', 'and', 'an', 'accurate', 'digital', 'roadmap', 'illustrate', 'the', 'performances', 'of', 'this', 'approach', 'especially', 'in', 'ambiguous', 'situations']] | [-0.11795464024503922, -0.02653900284086477, -0.09610565892782891, 0.05269842006641233, -0.09017747172038071, -0.19762764287265278, 0.04769378842158605, 0.4011623077094555, -0.25787135562859476, -0.30058404172046316, 0.13759318342555263, -0.22725330011194778, -0.2183630855805758, 0.25114868371747434, -0.17335431967512704, 0.1496170523718724, 0.15165348023745334, 0.02005959615861583, -0.022802085183179263, -0.18216701617671383, 0.27862601892815697, 0.08357308859316011, 0.3610882659494463, -0.04013486106931749, 0.14262514886245803, 0.0597839895894544, -0.06693726858874369, -0.004291478255052223, -0.04523232045984413, 0.19120320909132715, 0.3799295534004664, 0.1874118709884998, 0.3038525308171908, -0.3896283432065199, -0.21504426690646344, 0.052580277228520975, 0.14227134176245373, 0.11906088417809871, -0.12970589306981614, -0.39586476960943806, 0.09711291327322316, -0.25701371885629165, -0.07686417389494535, -0.12230409557620685, -0.04062675206740904, 0.006447527415326072, -0.37412457838137114, 0.02647754222481227, -0.009474844894510979, 0.11745665760503875, -0.11034099149077924, -0.0748179766330092, 0.0748136925459322, 0.16396677676433077, -0.0833935769688752, -0.01716374894992138, 0.1701005829511107, -0.1227136600128789, -0.159675194230254, 0.3532944327323801, 0.015352642372211752, -0.19498297179395901, 0.1551572160743591, -0.0037622591609963113, -0.17240251256670389, 0.1270399486982367, 0.25918394105974585, 0.11815991891651517, -0.2503727096029454, -0.00541346762879079, 0.03366364560012395, 0.18206626564885178, -0.03300723742641923, -0.004605076844907469, 0.21957259361321727, 0.3182915772712376, 0.10739573498156257, 0.09834304009887597, -0.14607416698789974, -0.07107246574014425, -0.22883932589967218, -0.11159051601114495, -0.15149243102253726, -0.06752890018591036, -0.040554798130162655, -0.10473786791165669, 0.35262677491280353, 0.22940682377924937, 0.13257781421351764, 0.05131950143064993, 0.43624941220817465, 0.0806717369204206, 0.022316549012127023, 0.059239227266516536, 0.17767888514531982, 0.036506118097652994, 0.20917098198292983, -0.18179497861031754, 0.055370506125554025, 0.020920469622877944] |
709.11 | Lagrangian Investigation of Auto-ignition in a Hydrogen Jet Flame in a
Vitiated Co-flow: Animations of Particle Trajectories in Composition Space
from PDF Model Calculations | PDF model calculations have been performed of the Cabra lifted hydrogen flame
in a vitiated co-flow. Particle trajectories are extracted from the Lagrangian
particle method used to solve the modeled PDF equation. The particle
trajectories in the mixture fraction-temperature plane reveal (at successive
downstream locations): essentially inert mixing between the cold fuel jet and
the hot co-flow; the auto-ignition of very lean particles; and, subsequent
mixing and reaction, leading to near-equilibrium compositions. The purpose of
this paper is to present animations of the particle trajectories obtained using
different turbulent mixing models.
| physics.flu-dyn | pdf model calculations have been performed of the cabra lifted hydrogen flame in a vitiated coflow particle trajectories are extracted from the lagrangian particle method used to solve the modeled pdf equation the particle trajectories in the mixture fractiontemperature plane reveal at successive downstream locations essentially inert mixing between the cold fuel jet and the hot coflow the autoignition of very lean particles and subsequent mixing and reaction leading to nearequilibrium compositions the purpose of this paper is to present animations of the particle trajectories obtained using different turbulent mixing models | [['pdf', 'model', 'calculations', 'have', 'been', 'performed', 'of', 'the', 'cabra', 'lifted', 'hydrogen', 'flame', 'in', 'a', 'vitiated', 'coflow', 'particle', 'trajectories', 'are', 'extracted', 'from', 'the', 'lagrangian', 'particle', 'method', 'used', 'to', 'solve', 'the', 'modeled', 'pdf', 'equation', 'the', 'particle', 'trajectories', 'in', 'the', 'mixture', 'fractiontemperature', 'plane', 'reveal', 'at', 'successive', 'downstream', 'locations', 'essentially', 'inert', 'mixing', 'between', 'the', 'cold', 'fuel', 'jet', 'and', 'the', 'hot', 'coflow', 'the', 'autoignition', 'of', 'very', 'lean', 'particles', 'and', 'subsequent', 'mixing', 'and', 'reaction', 'leading', 'to', 'nearequilibrium', 'compositions', 'the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'present', 'animations', 'of', 'the', 'particle', 'trajectories', 'obtained', 'using', 'different', 'turbulent', 'mixing', 'models']] | [-0.053307145185182606, 0.20451166543565438, -0.13383488155923667, 0.044178418815135956, 0.01832898505544813, -0.11377530900259199, -0.004060288254182074, 0.3345850482792332, -0.2923587039008402, -0.31938080286628073, 0.014435904710082693, -0.2610120643348841, -0.015503301421243154, 0.1360868070473413, 0.035866943711226576, 0.10432473331129995, 0.0939860838513463, -0.030125220167565712, -0.02268678229482023, -0.15170600018985608, 0.2709190228540618, 0.07969615791578975, 0.23251070807363544, 0.03042193627759312, 0.11696944504536771, -0.07345719779370709, -0.07207599614244582, -0.022205794564961048, -0.17488945402686348, 0.042125426698476076, 0.20157399751283417, 0.08414944973669611, 0.17099207417851084, -0.49335248795536796, -0.24400896286026816, 0.0797742654077625, 0.17189421719777281, 0.09790009022638034, -0.07669485258226272, -0.2526252400862534, 0.009938162427102581, -0.18439639769913105, -0.12977498073884275, -0.014271785808580646, -0.024794998338048376, 0.05883000037120132, -0.24650210623493354, 0.08424710252929186, 0.009498458172539982, 0.03878885417517073, -0.03032951707836617, -0.12393853937934958, -0.07335728390686465, 0.11505131493060944, 0.07961712131574959, 0.0033643695638970253, 0.20994377788941093, -0.12146823973332145, -0.027017603314408424, 0.45220614069800696, -0.07681038152044534, -0.2130889625633868, 0.2228092361199722, -0.13414074187271632, -0.12176296729175898, 0.2036035898811278, 0.22308246996463016, 0.143093873882075, -0.17058495438417023, 0.008505491883195727, -0.04794110372934616, 0.09774607693085845, 0.09701235660906421, -0.09471423348956061, 0.201059371672487, 0.18798906503119664, -0.009202152383356784, 0.12099282041694341, -0.12670591732570796, -0.18104474912031313, -0.26597149845924273, -0.14348282517467656, -0.1495430715698644, -0.038005972804313295, -0.06763042258886814, -0.14768386354376928, 0.37500680198244163, 0.13027801121888535, 0.19235974710350962, 0.00274106686453471, 0.30653726698809797, 0.08040108642635051, -0.00047493847989571393, 0.09355023090486948, 0.22688905289919858, 0.16891616531595421, 0.14036476883378005, -0.24607828910085844, 0.08531258740786755, 0.07906289724633098] |
709.1101 | Surprises in the suddenly-expanded infinite well | I study the time-evolution of a particle prepared in the ground state of an
infinite well after the latter is suddenly expanded. It turns out that the
probability density $|\Psi(x, t)|^{2}$ shows up quite a surprising behaviour:
for definite times, {\it plateaux} appear for which $|\Psi(x, t)|^{2}$ is
constant on finite intervals for $x$. Elements of theoretical explanation are
given by analyzing the singular component of the second derivative
$\partial_{xx}\Psi(x, t)$. Analytical closed expressions are obtained for some
specific times, which easily allow to show that, at these times, the density
organizes itself into regular patterns provided the size of the box in large
enough; more, above some critical time-dependent size, the density patterns are
independent of the expansion parameter. It is seen how the density at these
times simply results from a construction game with definite rules acting on the
pieces of the initial density.
| quant-ph cond-mat.other | i study the timeevolution of a particle prepared in the ground state of an infinite well after the latter is suddenly expanded it turns out that the probability density psix t2 shows up quite a surprising behaviour for definite times it plateaux appear for which psix t2 is constant on finite intervals for x elements of theoretical explanation are given by analyzing the singular component of the second derivative partial_xxpsix t analytical closed expressions are obtained for some specific times which easily allow to show that at these times the density organizes itself into regular patterns provided the size of the box in large enough more above some critical timedependent size the density patterns are independent of the expansion parameter it is seen how the density at these times simply results from a construction game with definite rules acting on the pieces of the initial density | [['i', 'study', 'the', 'timeevolution', 'of', 'a', 'particle', 'prepared', 'in', 'the', 'ground', 'state', 'of', 'an', 'infinite', 'well', 'after', 'the', 'latter', 'is', 'suddenly', 'expanded', 'it', 'turns', 'out', 'that', 'the', 'probability', 'density', 'psix', 't2', 'shows', 'up', 'quite', 'a', 'surprising', 'behaviour', 'for', 'definite', 'times', 'it', 'plateaux', 'appear', 'for', 'which', 'psix', 't2', 'is', 'constant', 'on', 'finite', 'intervals', 'for', 'x', 'elements', 'of', 'theoretical', 'explanation', 'are', 'given', 'by', 'analyzing', 'the', 'singular', 'component', 'of', 'the', 'second', 'derivative', 'partial_xxpsix', 't', 'analytical', 'closed', 'expressions', 'are', 'obtained', 'for', 'some', 'specific', 'times', 'which', 'easily', 'allow', 'to', 'show', 'that', 'at', 'these', 'times', 'the', 'density', 'organizes', 'itself', 'into', 'regular', 'patterns', 'provided', 'the', 'size', 'of', 'the', 'box', 'in', 'large', 'enough', 'more', 'above', 'some', 'critical', 'timedependent', 'size', 'the', 'density', 'patterns', 'are', 'independent', 'of', 'the', 'expansion', 'parameter', 'it', 'is', 'seen', 'how', 'the', 'density', 'at', 'these', 'times', 'simply', 'results', 'from', 'a', 'construction', 'game', 'with', 'definite', 'rules', 'acting', 'on', 'the', 'pieces', 'of', 'the', 'initial', 'density']] | [-0.1302780126020762, 0.1789141444996168, -0.12081760479506619, 0.06752209327392408, -0.017023837893944363, -0.12043728234872607, 0.03675233082331974, 0.3389326495311127, -0.23013427159267252, -0.249596629953333, 0.11429590868506709, -0.2762647221442954, -0.09056205336518329, 0.19220328862248953, 0.012207519224491613, 0.011355124218068247, 0.025597611413305174, 0.11651260992030388, -0.09283557008984017, -0.2529103517660807, 0.29242453887528774, 0.011386612423791968, 0.23513356770292437, 0.04374097668854841, 0.08688769318034936, -0.01184353151133862, -0.009863461467341102, 0.04176785348240158, -0.1403049852704059, 0.059617731867936154, 0.24010548604459597, 0.10526745337225167, 0.23887269135307648, -0.43588782393469894, -0.1798486838805698, 0.07852377513552021, 0.1292090574600573, 0.08273424206076768, -0.0076795071015206716, -0.2869473538040344, 0.07701490828446274, -0.13620182397165176, -0.17485936026185236, -0.07941225937985141, 0.10077797495278305, 0.029368405138816812, -0.27293290643679813, 0.09714589100009922, 0.06173043165211405, 0.006652129428653881, -0.0404538682180232, -0.15333497346346747, -0.014635430849638992, 0.1102210785278344, 0.06558480239794429, 0.03618161982599774, 0.1151395084111598, -0.10898912151119318, -0.02455849926918745, 0.3188809984283329, -0.05167257210143424, -0.183486768744629, 0.14924534126506026, -0.19501670675416444, -0.12301739617411432, 0.17247759574317476, 0.09376720450095961, 0.1252215311573497, -0.09717951414400133, 0.10285391806753288, -0.047579634270695004, 0.17899918285808686, 0.0772751161539606, -0.0031694564534800835, 0.21623488655233564, 0.11135489793719146, 0.08784047507456151, 0.12023634741179132, -0.031970386993910735, -0.12528285401198885, -0.36276952235574095, -0.12467776815876654, -0.19883868232658455, 0.10908286585633097, -0.12458661991243797, -0.17454100455767635, 0.38364551197095165, 0.09802585763621931, 0.25704091826538106, 0.05857180272357474, 0.2312221192465774, 0.17876247290907235, 0.07123267551530794, 0.0687825857782094, 0.1306991384031476, 0.10468616911274349, 0.07931780826685758, -0.2036146443435553, 0.07071288422609133, 0.053758939418235216] |
709.1102 | Light fermion masses and chiral freedom | Within the scenario of chiral freedom we compute the quark and lepton masses
of the first two generations in terms of their chiral couplings. This allows us
to make a rough estimate of the size of the chiral couplings, narrowing down
the uncertainty in the chiron contribution to low energy observables, like the
anomalous magnetic moment of the muon. We also extract information about the
chiron mass which determines the size of possible chiron effects at the LHC.
| hep-ph | within the scenario of chiral freedom we compute the quark and lepton masses of the first two generations in terms of their chiral couplings this allows us to make a rough estimate of the size of the chiral couplings narrowing down the uncertainty in the chiron contribution to low energy observables like the anomalous magnetic moment of the muon we also extract information about the chiron mass which determines the size of possible chiron effects at the lhc | [['within', 'the', 'scenario', 'of', 'chiral', 'freedom', 'we', 'compute', 'the', 'quark', 'and', 'lepton', 'masses', 'of', 'the', 'first', 'two', 'generations', 'in', 'terms', 'of', 'their', 'chiral', 'couplings', 'this', 'allows', 'us', 'to', 'make', 'a', 'rough', 'estimate', 'of', 'the', 'size', 'of', 'the', 'chiral', 'couplings', 'narrowing', 'down', 'the', 'uncertainty', 'in', 'the', 'chiron', 'contribution', 'to', 'low', 'energy', 'observables', 'like', 'the', 'anomalous', 'magnetic', 'moment', 'of', 'the', 'muon', 'we', 'also', 'extract', 'information', 'about', 'the', 'chiron', 'mass', 'which', 'determines', 'the', 'size', 'of', 'possible', 'chiron', 'effects', 'at', 'the', 'lhc']] | [-0.11545817525340961, 0.22343457129616767, -0.08280981075352965, 0.11589890003699857, -0.10006053549034569, -0.043864476112410046, 0.059672627091342106, 0.27381904769497806, -0.23594426604895255, -0.3434364559988563, 0.033031538215418085, -0.2943764811604454, -0.013944862426097434, 0.09811030257827578, 0.023274251215088252, 0.04211121059070604, -0.0029038181737399637, 0.07985260020583294, -0.09875780354830055, -0.21217571961908385, 0.29943512747279155, 0.033267563614898764, 0.19233119834023407, 0.13545066645989814, 0.10391699966902916, 0.007023226114539191, -0.03299518299695009, -0.05700167002251897, -0.144162015702862, 0.12569366044735011, 0.17137159324677972, 0.03329077871062626, 0.14256533111135164, -0.38946087860191864, -0.10161332065800731, 0.09235396097676876, 0.11370613320300785, 0.14236915749587262, 0.012635694733128333, -0.25914717913987356, 0.06680036062756792, -0.21931091614831716, -0.20024123317442644, -0.07447636275528333, -0.010679300886411697, -0.061204591049597815, -0.3066558905232411, 0.08308237029548483, 0.029860113311606724, 0.029583033174276352, -0.02172903063518998, -0.14944125892212376, -0.05898469130699642, 0.14140320758526334, 0.12689298291045886, -0.020353989193562228, 0.14304263308906975, -0.1654791314339934, -0.11812640176727794, 0.38716978379167044, -0.05650039436146378, -0.14277225676088187, 0.14338659985850638, -0.2140430799470498, -0.16027659968210337, 0.11797751592269215, 0.21307862719568688, 0.0962711237057542, -0.1939767778504831, 0.08407672047159838, -0.014420550447912553, 0.16621813626559928, 0.03963796578598423, 0.10337343426922765, 0.26637294818050206, 0.18952760766618526, 0.04683336760036838, 0.08552489414190252, -0.15996855466316143, -0.08038915834726933, -0.34721793070769846, -0.13082227338917363, -0.13370484891586387, 0.04495303524443163, -0.12481790361310302, -0.12574634062221798, 0.45868856670000613, 0.22698164346645802, 0.24840510376872352, 0.004175950822312958, 0.31321167181699705, 0.08493895968347669, 0.15664769031811887, 0.045207793973625086, 0.3046155607160658, 0.18241294681166226, 0.11842112761372939, -0.3210687776788687, 0.033717221550595686, 0.032757458730767935] |
709.1103 | CR-Invariants and the Scattering Operator for Complex Manifolds with
Boundary | The purpose of this paper is to describe certain CR-covariant differential
operators on a strictly pseudoconvex CR manifold $M$ as residues of the
scattering operator for the Laplacian on an ambient complex K\"{a}hler manifold
$X$ having $M$ as a `CR-infinity.' We also characterize the CR $Q$-curvature in
terms of the scattering operator. Our results parallel earlier results of
Graham and Zworski \cite{GZ:2003}, who showed that if $X$ is an asymptotically
hyperbolic manifold carrying a Poincar\'{e}-Einstein metric, the $Q$-curvature
and certain conformally covariant differential operators on the `conformal
infinity' $M$ of $X$ can be recovered from the scattering operator on $X$. The
results in this paper were announced in \cite{HPT:2006}.
| math.AP math.CV | the purpose of this paper is to describe certain crcovariant differential operators on a strictly pseudoconvex cr manifold m as residues of the scattering operator for the laplacian on an ambient complex kahler manifold x having m as a crinfinity we also characterize the cr qcurvature in terms of the scattering operator our results parallel earlier results of graham and zworski citegz2003 who showed that if x is an asymptotically hyperbolic manifold carrying a poincareeinstein metric the qcurvature and certain conformally covariant differential operators on the conformal infinity m of x can be recovered from the scattering operator on x the results in this paper were announced in citehpt2006 | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'describe', 'certain', 'crcovariant', 'differential', 'operators', 'on', 'a', 'strictly', 'pseudoconvex', 'cr', 'manifold', 'm', 'as', 'residues', 'of', 'the', 'scattering', 'operator', 'for', 'the', 'laplacian', 'on', 'an', 'ambient', 'complex', 'kahler', 'manifold', 'x', 'having', 'm', 'as', 'a', 'crinfinity', 'we', 'also', 'characterize', 'the', 'cr', 'qcurvature', 'in', 'terms', 'of', 'the', 'scattering', 'operator', 'our', 'results', 'parallel', 'earlier', 'results', 'of', 'graham', 'and', 'zworski', 'citegz2003', 'who', 'showed', 'that', 'if', 'x', 'is', 'an', 'asymptotically', 'hyperbolic', 'manifold', 'carrying', 'a', 'poincareeinstein', 'metric', 'the', 'qcurvature', 'and', 'certain', 'conformally', 'covariant', 'differential', 'operators', 'on', 'the', 'conformal', 'infinity', 'm', 'of', 'x', 'can', 'be', 'recovered', 'from', 'the', 'scattering', 'operator', 'on', 'x', 'the', 'results', 'in', 'this', 'paper', 'were', 'announced', 'in', 'citehpt2006']] | [-0.1894986585314785, 0.07996998353046365, -0.057857411212864376, 0.05476470788319906, -0.08275517682500538, -0.12508565413189077, -0.03665706076925354, 0.3428120534512259, -0.21914525997071038, -0.20875226520001888, 0.09177649978747858, -0.34392799124831247, -0.19028955451878055, 0.15907192337770193, -0.12226680832959357, 0.021100310803878874, 0.05848114394715854, 0.12090454347697752, -0.11632132968155756, -0.29083026542904833, 0.47682765630029494, 0.03525404972246005, 0.19785382775146337, 0.10420233379339888, 0.11834444169320964, -0.007992155854368493, -0.004140997777826019, 0.01118645067548468, -0.1141230709166848, 0.1302631537208245, 0.26345542140659833, 0.05382730746198268, 0.17264247519584994, -0.37454531054411616, -0.20738983867423874, 0.12425492428065765, 0.13589611460587808, -0.038479549171669146, -0.011325441005950173, -0.31301066951737516, 0.10718419271122132, -0.06301450473034666, -0.17642701484617732, -0.0547513388851214, 0.010126117891853763, -0.03291059516015507, -0.25116121572043215, -0.0008153767926463236, 0.12558082684963232, 0.037836797712814244, -0.09955435300778065, -0.11265724659675644, -0.07327363632752427, 0.06805195776923072, 0.037018330736706656, 0.10619541616400792, 0.10067290926706933, 0.0004322689980091084, -0.08907520809609976, 0.3110877685958431, -0.11560108555214746, -0.30671761804482056, 0.10411584141353766, -0.1963370419573039, -0.13947456175727505, 0.10365182375091882, 0.164521280081854, 0.2359253762422928, -0.134755084104836, 0.23150457686500714, -0.09872183848083729, 0.08209011547622226, 0.10729134155304304, -0.026356670752699887, 0.0734337592497468, 0.09735948175546669, 0.155560492325042, 0.06837884062302432, 0.007509899955420267, -0.017237546525540805, -0.3548711309209466, -0.22632564239292627, -0.1654434024644572, 0.2130025031222474, -0.13234242933907636, -0.1632221977980364, 0.34850804380008155, 0.02578005056448525, 0.2285319996554227, 0.09081135521687213, 0.2101824034981075, 0.09725968143847283, 0.023428439632767722, 0.103918482092697, 0.1637755864832018, 0.21075675204795385, 0.13168245700099285, -0.18848024546390488, -0.03647482904738614, 0.1480781875816839] |
709.1104 | Monolithic or hierarchical star formation? A new statistical analysis | We consider an analytic model of cosmic star formation which incorporates
supernova feedback, gas accretion and enriched outflows, reproducing the
history of cosmic star formation, metallicity, supernovae type II rates and the
fraction of baryons allocated to structures. We present a new statistical
treatment of the available observational data on the star formation rate and
metallicity that accounts for the presence of possible systematics. We then
employ a Bayesian Markov Chain Monte Carlo method to compare the predictions of
our model with observations and derive constraints on the 7 free parameters of
the model. We find that the dust correction scheme one chooses to adopt for the
star formation data is critical in determining which scenario is favoured
between a hierarchical star formation model, where star formation is prolonged
by accretion, infall and merging, and a monolithic scenario, where star
formation is rapid and efficient. We distinguish between these modes by
defining a characteristic minimum mass, M > 10^{11} M_solar, in our fiducial
model, for early type galaxies where star formation occurs efficiently. Our
results indicate that the hierarchical star formation model can achieve better
agreement with the data, but that this requires a high efficiency of
supernova-driven outflows. In a monolithic model, our analysis points to the
need for a mechanism that drives metal-poor winds, perhaps in the form of
supermassive black hole-induced outflows. Furthermore, the relative absence of
star formation beyond z ~ 5 in the monolithic scenario requires an alternative
mechanism to dwarf galaxies for reionizing the universe at z ~ 11, as required
by observations of the microwave background. While the monolithic scenario is
less favoured in terms of its quality-of-fit, it cannot yet be excluded.
| astro-ph | we consider an analytic model of cosmic star formation which incorporates supernova feedback gas accretion and enriched outflows reproducing the history of cosmic star formation metallicity supernovae type ii rates and the fraction of baryons allocated to structures we present a new statistical treatment of the available observational data on the star formation rate and metallicity that accounts for the presence of possible systematics we then employ a bayesian markov chain monte carlo method to compare the predictions of our model with observations and derive constraints on the 7 free parameters of the model we find that the dust correction scheme one chooses to adopt for the star formation data is critical in determining which scenario is favoured between a hierarchical star formation model where star formation is prolonged by accretion infall and merging and a monolithic scenario where star formation is rapid and efficient we distinguish between these modes by defining a characteristic minimum mass m 1011 m_solar in our fiducial model for early type galaxies where star formation occurs efficiently our results indicate that the hierarchical star formation model can achieve better agreement with the data but that this requires a high efficiency of supernovadriven outflows in a monolithic model our analysis points to the need for a mechanism that drives metalpoor winds perhaps in the form of supermassive black holeinduced outflows furthermore the relative absence of star formation beyond z 5 in the monolithic scenario requires an alternative mechanism to dwarf galaxies for reionizing the universe at z 11 as required by observations of the microwave background while the monolithic scenario is less favoured in terms of its qualityoffit it cannot yet be excluded | [['we', 'consider', 'an', 'analytic', 'model', 'of', 'cosmic', 'star', 'formation', 'which', 'incorporates', 'supernova', 'feedback', 'gas', 'accretion', 'and', 'enriched', 'outflows', 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709.1105 | Classification of nonproduct states with maximum stabilizer dimension | Nonproduct n-qubit pure states with maximum dimensional stabilizer subgroups
of the group of local unitary transformations are precisely the generalized
n-qubit Greenberger-Horne-Zeilinger states and their local unitary equivalents,
for n greater than or equal to 3 but not equal to 4. We characterize the Lie
algebra of the stabilizer subgroup for these states. For n=4, there is an
additional maximal stabilizer subalgebra, not local unitary equivalent to the
former. We give a canonical form for states with this stabilizer as well.
| quant-ph | nonproduct nqubit pure states with maximum dimensional stabilizer subgroups of the group of local unitary transformations are precisely the generalized nqubit greenbergerhornezeilinger states and their local unitary equivalents for n greater than or equal to 3 but not equal to 4 we characterize the lie algebra of the stabilizer subgroup for these states for n4 there is an additional maximal stabilizer subalgebra not local unitary equivalent to the former we give a canonical form for states with this stabilizer as well | [['nonproduct', 'nqubit', 'pure', 'states', 'with', 'maximum', 'dimensional', 'stabilizer', 'subgroups', 'of', 'the', 'group', 'of', 'local', 'unitary', 'transformations', 'are', 'precisely', 'the', 'generalized', 'nqubit', 'greenbergerhornezeilinger', 'states', 'and', 'their', 'local', 'unitary', 'equivalents', 'for', 'n', 'greater', 'than', 'or', 'equal', 'to', '3', 'but', 'not', 'equal', 'to', '4', 'we', 'characterize', 'the', 'lie', 'algebra', 'of', 'the', 'stabilizer', 'subgroup', 'for', 'these', 'states', 'for', 'n4', 'there', 'is', 'an', 'additional', 'maximal', 'stabilizer', 'subalgebra', 'not', 'local', 'unitary', 'equivalent', 'to', 'the', 'former', 'we', 'give', 'a', 'canonical', 'form', 'for', 'states', 'with', 'this', 'stabilizer', 'as', 'well']] | [-0.1094321741860498, 0.20497517366652854, -0.04123533873554365, 0.06849930286522449, -0.009361875128506877, -0.22672218222883933, 0.03974704435210169, 0.3494125028359301, -0.2589894886025124, -0.24457461320806617, 0.09022353098578291, -0.24993418882612461, -0.050735863149855974, 0.14328429503021417, -0.08848901239028316, 0.06627909632192718, 0.01815312815381697, 0.14407153508085527, -0.1810913798686715, -0.28310971516242, 0.3611658043285579, -0.020649386554048108, 0.2601804098467929, -0.07201253555508123, 0.08035308351441298, 0.014804940032600253, 0.05947230206687509, -0.06408678172271193, -0.057478312828382595, 0.08526051737494583, 0.2967731764793028, 0.10541123657682795, 0.15401277394482382, -0.4111894593792565, -0.11447919693051113, 0.22943894766317105, 0.1243432922285901, 0.13345259369672907, 0.040250137008519635, -0.3070248740230813, 0.10238070708083673, -0.2237189496051014, -0.15889855697291133, -0.10241064586803134, 0.1077995229696418, -0.14069328519205251, -0.2561958050125359, 0.07529547538056418, 0.10468106065089182, 0.11527523502885698, -0.030008987216048954, -0.1268853482813287, -0.07191831987339681, 0.11138720919929997, -0.1358964688886233, -0.0054366356336776125, 0.1381633760591532, -0.07808376200912868, -0.15856062751953248, 0.3763406605310278, -0.024462940571808117, -0.27203317797443843, 0.17669494475387496, -0.1599986386358922, -0.16416526106933568, 0.04021696840631373, 0.0457838351757806, 0.09266922436654568, -0.05899667768612688, 0.11577370839788476, -0.11084791339565943, 0.12800633750373014, 0.05151574486682629, 0.12488222625796441, 0.08458764765722056, -0.029358962487521362, 0.16485670444636066, 0.16741881689723628, 0.0705406532312433, -0.04248222713301211, -0.3874985345834751, -0.21958402278660624, -0.1574108227368812, 0.18747847990088315, -0.08826822637458889, -0.15341724820986943, 0.4481344323542061, 0.02290504431153682, 0.11563635015009362, 0.09728150426720579, 0.15147907423706333, 0.10543781866026283, 0.09764534449722204, 0.18194060576619742, 0.17073198097447553, 0.25392066111305245, -0.1709482632117507, -0.2066098813622914, -0.04002109160186884, 0.10443925123983695] |
709.1106 | Quantifying the Cosmic Web I: The large-scale halo
ellipticity-ellipticity and ellipticity-direction correlations | The formation of dark matter halos tends to occur anisotropically along the
filaments of the Cosmic Web, which induces both ellipticity-ellipticity (EE)
correlations between the shapes of halos, as well as ellipticity-direction (ED)
cross-correlations between halo shapes and the directions to neighboring halos.
We analyze the halo catalogue and the semi-analytic galaxy catalogue of the
recent Millennium Run Simulation to measure the EE and ED correlations
numerically at four different redshifts (z=0, 0.5, 1 and 2). For the EE
correlations, we find that (i) the major-axis correlation is strongest while
the intermediate-axis correlation is weakest; (ii) the signal is significant at
distances out to 10 Mpc/h; (iii) the signal decreases as z decreases; (iv) and
its behavior depends strongly on the halo mass scale, with larger masses
showing stronger correlations at large distances. For the ED correlations, we
find that (i) the correlations are much stronger than the EE correlations, and
are significant even out to distances of 50 Mpc/h; (ii) the signal also
decreases as z decreases; (iii) and it increases with halo mass at all
distances. We also provide empirical fitting functions for the EE and ED
correlations. The EE correlations are found to scale linearly with the linear
density correlation function, xi(r). While the ED cross-correlation is found to
scale as xi^{1/2}(r) at large distances beyond 10 Mpc/h. The best-fit values of
the fitting parameters for the EE and the ED correlations are all determined
through chi^{2}-statistics. Our results may be useful for quantifying the
filamentary distribution of dark matter halos over a wide range of scales.
| astro-ph | the formation of dark matter halos tends to occur anisotropically along the filaments of the cosmic web which induces both ellipticityellipticity ee correlations between the shapes of halos as well as ellipticitydirection ed crosscorrelations between halo shapes and the directions to neighboring halos we analyze the halo catalogue and the semianalytic galaxy catalogue of the recent millennium run simulation to measure the ee and ed correlations numerically at four different redshifts z0 05 1 and 2 for the ee correlations we find that i the majoraxis correlation is strongest while the intermediateaxis correlation is weakest ii the signal is significant at distances out to 10 mpch iii the signal decreases as z decreases iv and its behavior depends strongly on the halo mass scale with larger masses showing stronger correlations at large distances for the ed correlations we find that i the correlations are much stronger than the ee correlations and are significant even out to distances of 50 mpch ii the signal also decreases as z decreases iii and it increases with halo mass at all distances we also provide empirical fitting functions for the ee and ed correlations the ee correlations are found to scale linearly with the linear density correlation function xir while the ed crosscorrelation is found to scale as xi12r at large distances beyond 10 mpch the bestfit values of the fitting parameters for the ee and the ed correlations are all determined through chi2statistics our results may be useful for quantifying the filamentary distribution of dark matter halos over a wide range of scales | [['the', 'formation', 'of', 'dark', 'matter', 'halos', 'tends', 'to', 'occur', 'anisotropically', 'along', 'the', 'filaments', 'of', 'the', 'cosmic', 'web', 'which', 'induces', 'both', 'ellipticityellipticity', 'ee', 'correlations', 'between', 'the', 'shapes', 'of', 'halos', 'as', 'well', 'as', 'ellipticitydirection', 'ed', 'crosscorrelations', 'between', 'halo', 'shapes', 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'range', 'of', 'scales']] | [-0.10192498348610167, 0.12926505407186775, -0.06786723110400514, 0.16462827569348415, -0.03351600781356391, -0.08273865209629896, -0.019419683294521796, 0.38698826747511345, -0.22661737335709187, -0.35404726745862813, 0.004808114333667983, -0.38224485801428587, -0.013319201180423722, 0.1672183874577399, 0.13285114370919332, -0.0033286340094983227, 0.0019877400349476823, -0.042030854933534686, -0.10777541840225134, -0.25692328433128625, 0.2926490054857777, 0.13255902320060262, 0.2566301294010938, 0.06344750791277493, 0.05882993239943571, 0.001855556164512188, -0.07429445642010672, 0.032511820538422546, -0.1580716890580597, 0.003054028283894551, 0.2163974848444642, 0.11911798434684405, 0.21317613367386823, -0.33221233999680255, -0.1454953327435644, 0.1337448002749867, 0.20245193613470175, 0.08806942563915704, -0.02142132104115568, -0.2747275178558031, 0.08506407578112593, -0.1677486612155861, -0.08893894353831136, 0.029808860987741284, 0.08023142294453019, 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709.1107 | High-energy black hole production | Black hole production in high-energy collisions is briefly surveyed. Included
is a summary of recent developments and open problems relevant to collider
(LHC) production, as well as of some theoretical issues pointing towards
fundamental principles of quantum gravity.
| hep-ph gr-qc hep-th | black hole production in highenergy collisions is briefly surveyed included is a summary of recent developments and open problems relevant to collider lhc production as well as of some theoretical issues pointing towards fundamental principles of quantum gravity | [['black', 'hole', 'production', 'in', 'highenergy', 'collisions', 'is', 'briefly', 'surveyed', 'included', 'is', 'a', 'summary', 'of', 'recent', 'developments', 'and', 'open', 'problems', 'relevant', 'to', 'collider', 'lhc', 'production', 'as', 'well', 'as', 'of', 'some', 'theoretical', 'issues', 'pointing', 'towards', 'fundamental', 'principles', 'of', 'quantum', 'gravity']] | [-0.08903064504020701, 0.16764161652444223, -0.05389808554594454, 0.15985985720946796, -0.10500614575453494, -0.1628711568069105, -0.015230989163300316, 0.2922864720519436, -0.22378295189455935, -0.27253744045370504, 0.1254983341266205, -0.36897811999446467, -0.028970443472070128, 0.25403624439710065, -0.0436296275751087, 0.15556257894556774, 0.10446998854412844, -0.032802571665103496, -0.007961988620656101, -0.276892409905007, 0.29450559635695656, 0.19631540364475528, 0.18582841690237584, 0.1982594184381397, 0.05853164284244964, -0.0024493550391573656, -0.06343841176222716, 0.03450132336614555, -0.1517362803171732, 0.12519416638947164, 0.36596372935577837, 0.1822394015953729, 0.24335884724400544, -0.40268724852878796, -0.2176539756014551, -0.020325289450977977, 0.16178915203597985, 0.15794402896426618, -0.17876072147076852, -0.25827802604946654, 0.031799189403261006, -0.22421716173228465, -0.18808923740135997, -0.016035701344279868, 0.057057729909980766, -0.007622213985182737, -0.14535465649035023, 0.08133467316235367, -0.023728301549501913, 0.03150757913183617, -0.0023935478591164084, -0.21196936710590594, 0.017361513994585135, 0.03300487751288241, 0.1550459672657062, 0.08420473369034498, 0.2259171047296963, -0.1746129193741485, -0.27574347503679364, 0.42687344776564523, 0.03399543883278966, -0.0705720500432347, 0.19982656064492307, -0.19088271024980044, -0.2607535661051148, -0.001213021257794217, 0.24114447167927497, 0.08942175504604452, -0.20042948329233026, 0.12461025113282774, 0.05331131328191412, 0.07598943959027038, 0.02994969293573185, 0.15621092970679074, 0.35035935769739907, 0.26692334421616243, -0.019501831774648867, 0.11081616558428657, -0.025571816012655433, -0.14562082751409003, -0.485456973902489, -0.11849773220570856, -0.05706364494797431, 0.062235478973506314, 0.01989451784825896, -0.08838977235810537, 0.3087459952619515, 0.14462999318187175, 0.20365802902042082, -0.08751435416113389, 0.29556560844771174, 0.04845174204705185, -0.03351963914572384, 0.03304707572150571, 0.3194168881232862, 0.2011773199774325, 0.18772141558828911, -0.16437522157732593, -0.022724214460284105, 0.03757164605255974] |
709.1108 | Spike synchronization of a chaotic array as a phase transition | We study how a coupled array of spiking chaotic systems synchronizes to an
external driving in a short time. Synchronization means spike separation at
adjacent sites much shorter than the average inter-spike interval; a local lack
of synchronization is called a defect. The system displays sudden spontaneous
defect disappearance at a critical coupling strength. Below critical coupling,
the system reaches order at a definite amplitude of an external input; this
order persists for a fixed time slot. Thus, the array behaves as an excitable
system, even though the single element lacks such a property. The above
features provide a dynamical explanation of feature binding in perceptual
tasks.
| nlin.CD | we study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time synchronization means spike separation at adjacent sites much shorter than the average interspike interval a local lack of synchronization is called a defect the system displays sudden spontaneous defect disappearance at a critical coupling strength below critical coupling the system reaches order at a definite amplitude of an external input this order persists for a fixed time slot thus the array behaves as an excitable system even though the single element lacks such a property the above features provide a dynamical explanation of feature binding in perceptual tasks | [['we', 'study', 'how', 'a', 'coupled', 'array', 'of', 'spiking', 'chaotic', 'systems', 'synchronizes', 'to', 'an', 'external', 'driving', 'in', 'a', 'short', 'time', 'synchronization', 'means', 'spike', 'separation', 'at', 'adjacent', 'sites', 'much', 'shorter', 'than', 'the', 'average', 'interspike', 'interval', 'a', 'local', 'lack', 'of', 'synchronization', 'is', 'called', 'a', 'defect', 'the', 'system', 'displays', 'sudden', 'spontaneous', 'defect', 'disappearance', 'at', 'a', 'critical', 'coupling', 'strength', 'below', 'critical', 'coupling', 'the', 'system', 'reaches', 'order', 'at', 'a', 'definite', 'amplitude', 'of', 'an', 'external', 'input', 'this', 'order', 'persists', 'for', 'a', 'fixed', 'time', 'slot', 'thus', 'the', 'array', 'behaves', 'as', 'an', 'excitable', 'system', 'even', 'though', 'the', 'single', 'element', 'lacks', 'such', 'a', 'property', 'the', 'above', 'features', 'provide', 'a', 'dynamical', 'explanation', 'of', 'feature', 'binding', 'in', 'perceptual', 'tasks']] | [-0.25182233836037266, 0.16727018056839388, -0.03210876530001514, 0.06630705937168727, -0.017990561004153617, -0.18892470363497071, 0.07207752633883366, 0.3957947757460664, -0.2622602563699551, -0.2691030779279002, 0.0725674504375033, -0.2773472435041287, -0.14771074662311437, 0.15225927541728748, 0.012134727730337426, -0.007534739770273739, 0.04335246003607166, 0.12468525716870649, -0.061485909210587636, -0.14116444959627272, 0.22273798486670462, 0.07495667815434738, 0.2974308383973124, 0.023753513790945584, 0.12594222054146578, -0.02280511971014752, 0.08949627872190882, -0.011130721969791105, -0.05118414472405598, 0.013860190266424521, 0.2202931870227662, 0.03990757899907217, 0.32541938697066264, -0.4189636674753138, -0.21016777470864564, 0.10920015889629026, 0.1730211927320495, 0.14859904251366018, -0.01766270754432358, -0.26607564601733863, 0.04923121097810984, -0.13960966472862132, -0.15158479731686622, -0.009292642494541741, 0.07195672271425062, 0.0012700715054383624, -0.29773410818774565, 0.0865501351915648, 0.09657679394482653, 0.12623511983308, -0.04974204250480806, 0.00859582263902352, 0.0005373161930207894, 0.14467349299012083, -0.021332423831553798, 0.06679099897209938, 0.16745246516836582, -0.12897057247469984, -0.0863047843618388, 0.340688908672848, -0.08201878160745815, -0.13566665852085522, 0.20856144685280797, -0.1240612391521719, -0.10585519931688209, 0.17744290687700856, 0.15450741596102158, 0.060190895163219106, -0.11654201968111724, 0.00693996918222336, 0.018753729525640188, 0.30172268316915657, 0.09123374319800706, 0.07324751981133683, 0.26018329849031485, 0.26169135204350974, 0.11006364672853847, 0.16909860266006996, -0.07012142252316263, -0.09422617497479666, -0.30105000055421177, -0.0744040364651967, -0.17522221626539794, 0.0644110208551321, -0.11730058424100802, -0.19581358394341838, 0.4199572082295596, 0.1311003070533554, 0.21783694189703354, 0.04933828090439402, 0.2531910279034593, 0.1404160149558665, 0.07430518381123509, 0.047506064977322786, 0.20046851491538165, 0.08305588342841262, 0.1356162250163817, -0.2640354060959593, 0.08756183109585648, 0.03747181298437519] |
709.1109 | Density Perturbations in the Universe from Massive Vector Fields | I discuss the possibility of using a massive vector field to generate the
density perturbation in the Universe. I find that a scale-invariant
superhorizon spectrum of vector field perturbations is possible to generate
during inflation. The associated curvature perturbation is imprinted onto the
Universe following the curvaton scenario. The mechanism does not generate a
long-range anisotropy because an oscillating massive vector field behaves as a
pressureless isotropic fluid.
| hep-th astro-ph hep-ph | i discuss the possibility of using a massive vector field to generate the density perturbation in the universe i find that a scaleinvariant superhorizon spectrum of vector field perturbations is possible to generate during inflation the associated curvature perturbation is imprinted onto the universe following the curvaton scenario the mechanism does not generate a longrange anisotropy because an oscillating massive vector field behaves as a pressureless isotropic fluid | [['i', 'discuss', 'the', 'possibility', 'of', 'using', 'a', 'massive', 'vector', 'field', 'to', 'generate', 'the', 'density', 'perturbation', 'in', 'the', 'universe', 'i', 'find', 'that', 'a', 'scaleinvariant', 'superhorizon', 'spectrum', 'of', 'vector', 'field', 'perturbations', 'is', 'possible', 'to', 'generate', 'during', 'inflation', 'the', 'associated', 'curvature', 'perturbation', 'is', 'imprinted', 'onto', 'the', 'universe', 'following', 'the', 'curvaton', 'scenario', 'the', 'mechanism', 'does', 'not', 'generate', 'a', 'longrange', 'anisotropy', 'because', 'an', 'oscillating', 'massive', 'vector', 'field', 'behaves', 'as', 'a', 'pressureless', 'isotropic', 'fluid']] | [-0.21882601660292814, 0.23860492236310485, -0.11599892466876875, 0.11753839493030682, -0.13020243835361564, -0.1225077722714666, -0.1308313194415806, 0.30076093144495697, -0.2638963965890819, -0.21522982872556895, 0.04113390524563489, -0.2312940368291867, -0.1238899234244052, 0.08950591531089123, 0.035483143182800096, -0.06759682208255124, -0.01223501009757028, 0.0807684095685973, 0.013092614505748154, -0.2405273666304043, 0.3833986369564253, 0.09583254237933193, 0.2609524512115647, -0.05626305266666938, 0.08476077857673825, -0.045702233835233044, 0.00044895634602974444, 0.0043683633591760605, -0.11444043695144715, 0.02008698969695936, 0.11986855360373738, 0.1251413296113777, 0.2524668618434054, -0.43958641243550706, -0.28843104631146965, 0.18231920478180708, 0.16331278046538286, 0.1909734018777004, -0.09173491746461128, -0.24569855060647516, 0.06693904087467886, -0.15265948224045775, -0.18297902326209142, -0.08928961499922854, 0.02357811972957707, -0.06613490400537986, -0.3140691127422649, 0.141856319449075, 0.0374304593732471, -0.04570811111753916, -0.10915463258895804, 0.017099655123756212, -0.07016622036805048, -0.016258640762637642, 0.11009933574207346, 0.11284317465855137, 0.19876153438406832, -0.1818935783684377, -0.038643636922215056, 0.4085823112879606, -0.23435708570896702, -0.14468067741322824, 0.09074534773004844, -0.13757881256477797, -0.09339086744276916, 0.12241068776861272, 0.17302361390080906, 0.0845892121330561, -0.10439318195259308, 0.13950726148836753, 0.034793431423809924, 0.1917579666547039, 0.06576157007914256, 0.013836196808637503, 0.36127857542733716, 0.08554927371305358, 0.02547673466067542, 0.10078466979458052, -0.055335208249102034, -0.11386444137572065, -0.36563750931664424, -0.1260726181379355, -0.2259511096019517, 0.08209887737607727, -0.12480580074000447, -0.24589939357932, 0.42117262596045346, 0.16566795516101754, 0.21521863850819714, 0.004145976922967855, 0.2934457391281338, 0.07074562487404738, 0.04717569779056836, 0.10843065148219466, 0.30326383484198766, 0.17479683267062202, 0.1512254912625341, -0.18660880500615082, -0.04508282355142429, 0.004468996683820425] |
709.111 | Deformation quantization for actions of the affine group | We define a universal deformation formula (UDF) for the actions of the affine
group on Frechet algebras. More precisely, starting with any associative
Frechet algebra which the affine group acts on in a strongly continuous and
isometrical manner, the UDF produces a family of topological associative
algebra structures on the space of smooth vectors of the action deforming the
initial product. The deformation field obtained is based over an infinite
dimensional parameter space naturally associated with the space of
pseudo-differential operators on the real line. This note also presents some
geometrical aspects of the UDF and in particular its relation with hyperbolic
geometry.
| math.QA math.OA | we define a universal deformation formula udf for the actions of the affine group on frechet algebras more precisely starting with any associative frechet algebra which the affine group acts on in a strongly continuous and isometrical manner the udf produces a family of topological associative algebra structures on the space of smooth vectors of the action deforming the initial product the deformation field obtained is based over an infinite dimensional parameter space naturally associated with the space of pseudodifferential operators on the real line this note also presents some geometrical aspects of the udf and in particular its relation with hyperbolic geometry | [['we', 'define', 'a', 'universal', 'deformation', 'formula', 'udf', 'for', 'the', 'actions', 'of', 'the', 'affine', 'group', 'on', 'frechet', 'algebras', 'more', 'precisely', 'starting', 'with', 'any', 'associative', 'frechet', 'algebra', 'which', 'the', 'affine', 'group', 'acts', 'on', 'in', 'a', 'strongly', 'continuous', 'and', 'isometrical', 'manner', 'the', 'udf', 'produces', 'a', 'family', 'of', 'topological', 'associative', 'algebra', 'structures', 'on', 'the', 'space', 'of', 'smooth', 'vectors', 'of', 'the', 'action', 'deforming', 'the', 'initial', 'product', 'the', 'deformation', 'field', 'obtained', 'is', 'based', 'over', 'an', 'infinite', 'dimensional', 'parameter', 'space', 'naturally', 'associated', 'with', 'the', 'space', 'of', 'pseudodifferential', 'operators', 'on', 'the', 'real', 'line', 'this', 'note', 'also', 'presents', 'some', 'geometrical', 'aspects', 'of', 'the', 'udf', 'and', 'in', 'particular', 'its', 'relation', 'with', 'hyperbolic', 'geometry']] | [-0.14862215172983165, 0.10562055497060109, -0.1022875079098474, 0.024444126539854606, -0.15821811406945502, -0.07004982793253837, -0.0178651167441485, 0.38887978709773025, -0.3242830910258791, -0.1882050506662107, 0.1289615350418263, -0.20900775603407507, -0.19017440167445582, 0.22592349686813587, -0.13390213127238948, -0.02915843507982519, 0.031040218113966792, 0.1290723394638705, -0.17195595279607234, -0.25380080845659075, 0.45912779647929286, -0.004143329009467971, 0.25708132804353334, -0.053041459088331286, 0.16770462977510053, 0.055559701245567465, -0.04159914954137102, 0.03955951894919424, -0.15021266285510895, 0.16900246056899862, 0.23342050196946534, 0.055761126801371574, 0.19074348664788293, -0.37270059047755105, -0.17985245654160537, 0.13608785394072823, 0.11932037679876373, 0.016863671760978992, -0.02796170885691044, -0.3090318197167469, 0.014654506721253534, -0.1957263348678362, -0.12878338967278166, -0.06158878691765724, 0.06387805964603332, -0.009034827975465835, -0.23583428922461944, 0.007555633604479049, 0.0723574891577936, 0.12708751463955179, -0.16191637384348087, -0.020699604111497554, -0.07691940817150097, 0.06468401851982457, -0.045563368653444555, 0.07836801071370979, 0.14147069005892404, -0.08399641324034994, -0.11573834170234724, 0.36305149000090575, -0.029267083781147465, -0.2535926918487869, 0.14589341086317395, -0.17180892240450474, -0.15228125508151297, 0.09555507257797764, 0.1216838281190258, 0.12495455026481915, -0.03512920647208552, 0.22405861216276268, -0.08560716314693388, 0.08587574393678347, 0.025964894666544443, 0.018731214196502585, 0.1356841383809314, 0.11005674754902359, 0.10042793866138434, 0.1433585510652476, 0.005534524522445987, -0.10017494375148372, -0.3917187039640922, -0.18985497965974715, -0.11004725244185588, 0.1124904571209573, -0.1635768051523132, -0.24141427811271357, 0.40258044015742767, 0.057768687440276835, 0.23567858109142162, 0.1108200330732535, 0.21602197578041227, 0.11107970897879144, 0.12504569658087294, 0.03913497610885969, 0.10995783724961124, 0.16525551160453883, 0.020401288934947144, -0.14566576282959431, -0.024966534869112437, 0.1793108212770623] |
709.1111 | On the oscillations in Mercury's obliquity | One major objective of MESSENGER and BepiColombo spatial missions is to
accurately measure Mercury's rotation and its obliquity in order to obtain
constraints on internal structure of the planet. Which is the obliquity's
dynamical behavior deriving from a complete spin-orbit motion of Mercury
simultaneously integrated with planetary interactions? We have used our SONYR
model integrating the spin-orbit N-body problem applied to the solar System
(Sun and planets). For lack of current accurate observations or ephemerides of
Mercury's rotation, and therefore for lack of valid initial conditions for a
numerical integration, we have built an original method for finding the
libration center of the spin-orbit system and, as a consequence, for avoiding
arbitrary amplitudes in librations of the spin-orbit motion as well as in
Mercury's obliquity. The method has been carried out in two cases: (1) the
spin-orbit motion of Mercury in the 2-body problem case (Sun-Mercury) where an
uniform precession of the Keplerian orbital plane is kinematically added at a
fixed inclination (S2K case), (2) the spin-orbit motion of Mercury in the
N-body problem case (Sun and planets) (Sn case). We find that the remaining
amplitude of the oscillations in the Sn case is one order of magnitude larger
than in the S2K case, namely 4 versus 0.4 arcseconds (peak-to-peak). The mean
obliquity is also larger, namely 1.98 versus 1.80 arcminutes, for a difference
of 10.8 arcseconds. These theoretical results are in a good agreement with
recent radar observations but it is not excluded that it should be possible to
push farther the convergence process by drawing nearer still more precisely to
the libration center.
| astro-ph | one major objective of messenger and bepicolombo spatial missions is to accurately measure mercurys rotation and its obliquity in order to obtain constraints on internal structure of the planet which is the obliquitys dynamical behavior deriving from a complete spinorbit motion of mercury simultaneously integrated with planetary interactions we have used our sonyr model integrating the spinorbit nbody problem applied to the solar system sun and planets for lack of current accurate observations or ephemerides of mercurys rotation and therefore for lack of valid initial conditions for a numerical integration we have built an original method for finding the libration center of the spinorbit system and as a consequence for avoiding arbitrary amplitudes in librations of the spinorbit motion as well as in mercurys obliquity the method has been carried out in two cases 1 the spinorbit motion of mercury in the 2body problem case sunmercury where an uniform precession of the keplerian orbital plane is kinematically added at a fixed inclination s2k case 2 the spinorbit motion of mercury in the nbody problem case sun and planets sn case we find that the remaining amplitude of the oscillations in the sn case is one order of magnitude larger than in the s2k case namely 4 versus 04 arcseconds peaktopeak the mean obliquity is also larger namely 198 versus 180 arcminutes for a difference of 108 arcseconds these theoretical results are in a good agreement with recent radar observations but it is not excluded that it should be possible to push farther the convergence process by drawing nearer still more precisely to the libration center | [['one', 'major', 'objective', 'of', 'messenger', 'and', 'bepicolombo', 'spatial', 'missions', 'is', 'to', 'accurately', 'measure', 'mercurys', 'rotation', 'and', 'its', 'obliquity', 'in', 'order', 'to', 'obtain', 'constraints', 'on', 'internal', 'structure', 'of', 'the', 'planet', 'which', 'is', 'the', 'obliquitys', 'dynamical', 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709.1112 | Rotating surface solitons | We introduce a novel type of surface waves that form at the edge of guiding
structures consisting of several concentric rings. Such surface waves rotate
steadily upon propagation and, in contrast to nonrotating waves, for high
rotation frequencies they do not exhibit power thresholds for their existence.
There exists an upper limit for the surface wave ro-tation frequency, which
depends on the radius of the outer guiding ring and on its depth.
| physics.optics nlin.PS | we introduce a novel type of surface waves that form at the edge of guiding structures consisting of several concentric rings such surface waves rotate steadily upon propagation and in contrast to nonrotating waves for high rotation frequencies they do not exhibit power thresholds for their existence there exists an upper limit for the surface wave rotation frequency which depends on the radius of the outer guiding ring and on its depth | [['we', 'introduce', 'a', 'novel', 'type', 'of', 'surface', 'waves', 'that', 'form', 'at', 'the', 'edge', 'of', 'guiding', 'structures', 'consisting', 'of', 'several', 'concentric', 'rings', 'such', 'surface', 'waves', 'rotate', 'steadily', 'upon', 'propagation', 'and', 'in', 'contrast', 'to', 'nonrotating', 'waves', 'for', 'high', 'rotation', 'frequencies', 'they', 'do', 'not', 'exhibit', 'power', 'thresholds', 'for', 'their', 'existence', 'there', 'exists', 'an', 'upper', 'limit', 'for', 'the', 'surface', 'wave', 'rotation', 'frequency', 'which', 'depends', 'on', 'the', 'radius', 'of', 'the', 'outer', 'guiding', 'ring', 'and', 'on', 'its', 'depth']] | [-0.2112434448580542, 0.173770844265568, -0.04856539343018085, 0.006718811388256856, -0.08916288654371682, -0.07273511941699932, 0.024306795391668048, 0.38926855871816063, -0.24395748597776723, -0.2468047212007352, 0.10997166939745916, -0.24808085466631585, -0.11757585905595785, 0.2509553927504587, -0.01833250593820897, 0.0003383651273907162, 0.00020193078024830256, 0.06370025966316462, -0.07749098680829371, -0.13098172274961448, 0.3199268310304938, 0.04699997570262187, 0.2884965605885049, 0.011340876485014128, 0.06769292949077983, 0.002371937139994568, 0.05120520463161585, 0.01914014565085785, -0.1950938747198355, 0.0928627621582968, 0.19699706939152545, 0.09638103966911633, 0.19950150398977307, -0.4953920782233278, -0.22167430318788522, 0.05966831463026918, 0.15729119051441862, 0.10726385999684378, -0.08530838533058865, -0.21388784115616646, 0.06455120042018178, -0.11600928368797112, -0.20186865267977636, 0.004196867204478217, 0.09576430608932343, 0.07668376016792738, -0.1884999587459283, 0.0721995412863584, 0.13448969199089333, 0.06802913468588183, -0.08639201732876245, -0.07513791154552665, -0.08015113199750583, 0.09568518779835561, 0.014217907912097871, 0.005411453648573822, 0.12898245711241746, -0.13530535909295496, -0.044226553769678704, 0.3382549937814474, -0.10050433637419094, -0.19560232810262176, 0.23902506295902035, -0.17369044345873086, -0.04936209517634577, 0.1835890628863126, 0.2370698407628677, 0.11411691025649714, -0.01421789126308997, 0.029910098552742664, -0.05434899117952025, 0.18241775501519442, 0.21558227912626332, 0.0697905180665354, 0.3378836295903764, 0.124090752063138, 0.124393332876126, 0.06983086451267202, -0.17230280731261396, 0.0011580766165732509, -0.2781144353535233, -0.1283001128726432, -0.13605903690525642, 0.008682538241878824, -0.05896094405802109, -0.22906822330939272, 0.3971398827561643, 0.07195232643344854, 0.20124126510280702, 0.0482459447181706, 0.25377563575198614, 0.12489233153044349, 0.08872357999401477, 0.14672033133036974, 0.3016602172283456, 0.1577690779360839, 0.03809582626369471, -0.2240035556137122, 0.01059542064063458, 0.030087266586229414] |
709.1113 | Redshift Distortions as a Probe of Gravity | Redshift distortion measurements from galaxy surveys include sensitivity to
the gravitational growth index distinguishing other theories from Einstein
gravity. This gravitational sensitivity is substantially free from uncertainty
in the effective equation of state of the cosmic expansion history. We also
illustrate the bias in the traditional application to matter density
determination using f=Omega_m(a)^{0.6}, and how to avoid it.
| astro-ph | redshift distortion measurements from galaxy surveys include sensitivity to the gravitational growth index distinguishing other theories from einstein gravity this gravitational sensitivity is substantially free from uncertainty in the effective equation of state of the cosmic expansion history we also illustrate the bias in the traditional application to matter density determination using fomega_ma06 and how to avoid it | [['redshift', 'distortion', 'measurements', 'from', 'galaxy', 'surveys', 'include', 'sensitivity', 'to', 'the', 'gravitational', 'growth', 'index', 'distinguishing', 'other', 'theories', 'from', 'einstein', 'gravity', 'this', 'gravitational', 'sensitivity', 'is', 'substantially', 'free', 'from', 'uncertainty', 'in', 'the', 'effective', 'equation', 'of', 'state', 'of', 'the', 'cosmic', 'expansion', 'history', 'we', 'also', 'illustrate', 'the', 'bias', 'in', 'the', 'traditional', 'application', 'to', 'matter', 'density', 'determination', 'using', 'fomega_ma06', 'and', 'how', 'to', 'avoid', 'it']] | [-0.055069855332635996, 0.09484836879071959, -0.13747236394862594, 0.10372398484890398, -0.1410990718490722, -0.032548311313516216, 7.397377569424479e-05, 0.3060579279584712, -0.25768214024668723, -0.3598347835961664, 0.07850950710851241, -0.3103672258572228, -0.09192941237339064, 0.19746074403979277, -0.019069848271707695, 0.013078213947122557, 0.008851317803195695, 0.015550833105583462, -0.07704874219371848, -0.262611151133713, 0.33441565600795703, 0.14263823919259666, 0.254714750080255, 0.018453053680755067, 0.060183914958319644, -0.013562058817529888, -0.09661955834905568, 0.05127685397798032, -0.20049086102823677, 0.06283992981097024, 0.2258068926575218, 0.16657326394986166, 0.2119270706581965, -0.35745885156160384, -0.2787324782673335, 0.08930329767693031, 0.12274695931231244, 0.17274080827962934, -0.06673044423785127, -0.30346037123940495, -0.004859003271057941, -0.23481724380205074, -0.13978989914941944, -0.0176438994771033, -0.024283147858161675, 0.006194417386340271, -0.20052677654383474, 0.17659925160982662, -0.05070030456817333, -0.019911171002476885, -0.08713638994091175, -0.0734759660829839, 0.0092147412268739, 0.09046928487358648, 0.09259300507000533, 0.06990962310514429, 0.1787442478122549, -0.1988588979655648, -0.052933870553316775, 0.40909180973182646, -0.1368841261586599, -0.15378038130962013, 0.1638609376785002, -0.2044337146114885, -0.15872579581806795, 0.0863712151216245, 0.15509299940445967, 0.05090746134846357, -0.1443594230927135, 0.10675078658121556, 0.127695738654502, 0.19161283901255383, 0.09396545842224568, 0.03965515754080435, 0.2846788464547053, 0.09549410811118912, 0.1015042155703301, 0.08685712462491274, -0.10045229499800164, -0.018958159795913258, -0.29960087578939765, -0.10759095444033544, -0.15353699642021143, 0.09102594537513428, -0.15693976124723058, -0.13620297672030957, 0.3653913171667802, 0.23743785421053568, 0.11016415941872094, 0.0585369648444548, 0.3214172026501936, 0.07503620376851279, 0.06594280872428626, -0.013191005795083026, 0.3325822940259649, 0.1827323190426748, 0.06214771019049773, -0.26077748339606877, 0.018200940501533057, 0.03488288584916869] |
709.1114 | H3+ in Diffuse Interstellar Clouds: a Tracer for the Cosmic-Ray
Ionization Rate | Using high resolution infrared spectroscopy we have surveyed twenty
sightlines for H3+ absorption. H3+ is detected in eight diffuse cloud
sightlines with column densities varying from 0.6x10^14 cm^-2 to 3.9x10^14
cm^-2. This brings to fourteen the total number of diffuse cloud sightlines
where H3+ has been detected. These detections are mostly along sightlines
concentrated in the Galactic plane, but well dispersed in Galactic longitude.
The results imply that abundant H3+ is common in the diffuse interstellar
medium. Because of the simple chemistry associated with H3+ production and
destruction, these column density measurements can be used in concert with
various other data to infer the primary cosmic-ray ionization rate, zeta_p.
Values range from 0.5x10^-16 s^-1 to 3x10^-16 s^-1 with an average of 2x10^-16
s^-1. Where H3+ is not detected the upper limits on the ionization rate are
consistent with this range. The average value of zeta_p is about an order of
magnitude larger than both the canonical rate and rates previously reported by
other groups using measurements of OH and HD. The discrepancy is most likely
due to inaccurate measurements of rate constants and the omission of effects
which were unknown when those studies were performed. We believe that the
observed column density of H3+ is the most direct tracer for the cosmic-ray
ionization rate due to its simple chemistry. Recent models of diffuse cloud
chemistry require cosmic-ray ionization rates on the order of 10^-16 s^-1 to
reproduce observed abundances of various atomic and molecular species, in rough
accord with our observational findings.
| astro-ph | using high resolution infrared spectroscopy we have surveyed twenty sightlines for h3 absorption h3 is detected in eight diffuse cloud sightlines with column densities varying from 06x1014 cm2 to 39x1014 cm2 this brings to fourteen the total number of diffuse cloud sightlines where h3 has been detected these detections are mostly along sightlines concentrated in the galactic plane but well dispersed in galactic longitude the results imply that abundant h3 is common in the diffuse interstellar medium because of the simple chemistry associated with h3 production and destruction these column density measurements can be used in concert with various other data to infer the primary cosmicray ionization rate zeta_p values range from 05x1016 s1 to 3x1016 s1 with an average of 2x1016 s1 where h3 is not detected the upper limits on the ionization rate are consistent with this range the average value of zeta_p is about an order of magnitude larger than both the canonical rate and rates previously reported by other groups using measurements of oh and hd the discrepancy is most likely due to inaccurate measurements of rate constants and the omission of effects which were unknown when those studies were performed we believe that the observed column density of h3 is the most direct tracer for the cosmicray ionization rate due to its simple chemistry recent models of diffuse cloud chemistry require cosmicray ionization rates on the order of 1016 s1 to reproduce observed abundances of various atomic and molecular species in rough accord with our observational findings | [['using', 'high', 'resolution', 'infrared', 'spectroscopy', 'we', 'have', 'surveyed', 'twenty', 'sightlines', 'for', 'h3', 'absorption', 'h3', 'is', 'detected', 'in', 'eight', 'diffuse', 'cloud', 'sightlines', 'with', 'column', 'densities', 'varying', 'from', '06x1014', 'cm2', 'to', '39x1014', 'cm2', 'this', 'brings', 'to', 'fourteen', 'the', 'total', 'number', 'of', 'diffuse', 'cloud', 'sightlines', 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709.1115 | Possible co-existence of local itinerancy and global localization in a
quasi-one-dimensional conductor | In the chain compound PrBa$_2$Cu$_4$O$_8$ localization appears simultaneously
with a dimensional crossover in the electronic ground state when the scattering
rate in the chains exceeds the hopping rate between the chains. Here we report
the discovery of a large, transverse magnetoresistance in PrBa$_2$Cu$_4$O$_8$
in the localized regime. This result suggests a novel form of localization
whereby electrons retain their metallic (quasi-one-dimensional) character over
a microscopic length scale despite the fact that macroscopically, they exhibit
localized (one-dimensional) behavior.
| cond-mat.str-el | in the chain compound prba_2cu_4o_8 localization appears simultaneously with a dimensional crossover in the electronic ground state when the scattering rate in the chains exceeds the hopping rate between the chains here we report the discovery of a large transverse magnetoresistance in prba_2cu_4o_8 in the localized regime this result suggests a novel form of localization whereby electrons retain their metallic quasionedimensional character over a microscopic length scale despite the fact that macroscopically they exhibit localized onedimensional behavior | [['in', 'the', 'chain', 'compound', 'prba_2cu_4o_8', 'localization', 'appears', 'simultaneously', 'with', 'a', 'dimensional', 'crossover', 'in', 'the', 'electronic', 'ground', 'state', 'when', 'the', 'scattering', 'rate', 'in', 'the', 'chains', 'exceeds', 'the', 'hopping', 'rate', 'between', 'the', 'chains', 'here', 'we', 'report', 'the', 'discovery', 'of', 'a', 'large', 'transverse', 'magnetoresistance', 'in', 'prba_2cu_4o_8', 'in', 'the', 'localized', 'regime', 'this', 'result', 'suggests', 'a', 'novel', 'form', 'of', 'localization', 'whereby', 'electrons', 'retain', 'their', 'metallic', 'quasionedimensional', 'character', 'over', 'a', 'microscopic', 'length', 'scale', 'despite', 'the', 'fact', 'that', 'macroscopically', 'they', 'exhibit', 'localized', 'onedimensional', 'behavior']] | [-0.22007562902260136, 0.25152944990240234, -0.045047402442372465, 0.020983155434285954, 0.019926098021134347, -0.14452719374245346, 0.06979152398764507, 0.3599598395166459, -0.29384910087887345, -0.20282825648591116, 0.020930841122149164, -0.2956796835430644, -0.1294988054395109, 0.15583628097960314, 0.05822849620206209, -0.02425089121413305, 0.04171486610437852, 0.03569387990449156, -0.08678517495312232, -0.18121286614664964, 0.2707317006084826, 0.039902368893048594, 0.3686919308557816, 0.07237005482923675, 0.06584236125594803, 0.042556249554716534, 0.1407550213096494, -0.003288935720255332, -0.1268486920053437, 0.07877699620779846, 0.26264415824084314, -0.11055322972356112, 0.22776521714525177, -0.4220996561956096, -0.20581909883525465, 0.03482312499847892, 0.20490122218797732, 0.18976126579785502, -0.05060629440205438, -0.29836308162858977, 0.01863389838390149, -0.16685630449444636, -0.14320301847508202, -0.04965354678128066, -0.006786707075095022, 0.007259480972689661, -0.19729371341066315, 0.16566344101417374, 0.09368413416729249, 0.07189854823488306, -0.07543771774447583, -0.03826953646690621, 0.005010865743622765, 0.07264074442988298, 0.0849247362053433, -0.013471578550222633, 0.0963318583120096, -0.15136401071456979, -0.09534622683467997, 0.3143186516358287, -0.07658837888655919, -0.13212248506084956, 0.23079405623403462, -0.2224479445994094, -0.08772408144621106, 0.21428428195997493, 0.13415387222035366, 0.1122254747262394, -0.12863413727325962, 0.08802508210231151, -0.04997279538543194, 0.19590512517644637, 0.013984066270920751, 0.12213225553247642, 0.2509215405428564, 0.22503339339882233, 0.028984161299447735, 0.17470339044335892, -0.15284560415168086, -0.11808483764625989, -0.2175601948197786, -0.17181504902946945, -0.24446107872894832, 0.10085529550250813, -0.0455109182950835, -0.22564831458322412, 0.39341378053226933, 0.13798908601166932, 0.26259321169081057, 0.019642164930701256, 0.17400015761180745, 0.09925002319278656, 0.05777682514873321, 0.05489242513960397, 0.23229372719085062, 0.1126923146612289, 0.10855181719170423, -0.2784763653581212, 0.10492291221661228, 0.03789638174854993] |
709.1116 | Bifurcation of the ACT map | In this paper, we study the Arneodo-Coullet-Tresser map $
F(x,y,z)=(ax-b(y-z), bx+a(y-z), cx-dx^k+e z)$ where $a,b,c,d,e$ are real with
$bd\neq 0$ and $k>1$ is an integer. We obtain stability regions for fixed
points of $F$ and symmetric period-2 points while $c$ and $e$ vary as
parameters. Varying $a$ and $e$ as parameters, we show that there is a
hyperbolic invariant set on which $F$ is conjugate to the full shift on two or
three symbols. We also show that chaotic behaviors of $F$ while $c$ and $d$
vary as parameters and $F$ is near an anti-integrable limit. Some numerical
results indicates $F$ has Hopf bifurcation, strange attractors, and nested
structure of invariant tori.
| math.DS | in this paper we study the arneodocoullettresser map fxyzaxbyz bxayz cxdxke z where abcde are real with bdneq 0 and k1 is an integer we obtain stability regions for fixed points of f and symmetric period2 points while c and e vary as parameters varying a and e as parameters we show that there is a hyperbolic invariant set on which f is conjugate to the full shift on two or three symbols we also show that chaotic behaviors of f while c and d vary as parameters and f is near an antiintegrable limit some numerical results indicates f has hopf bifurcation strange attractors and nested structure of invariant tori | [['in', 'this', 'paper', 'we', 'study', 'the', 'arneodocoullettresser', 'map', 'fxyzaxbyz', 'bxayz', 'cxdxke', 'z', 'where', 'abcde', 'are', 'real', 'with', 'bdneq', '0', 'and', 'k1', 'is', 'an', 'integer', 'we', 'obtain', 'stability', 'regions', 'for', 'fixed', 'points', 'of', 'f', 'and', 'symmetric', 'period2', 'points', 'while', 'c', 'and', 'e', 'vary', 'as', 'parameters', 'varying', 'a', 'and', 'e', 'as', 'parameters', 'we', 'show', 'that', 'there', 'is', 'a', 'hyperbolic', 'invariant', 'set', 'on', 'which', 'f', 'is', 'conjugate', 'to', 'the', 'full', 'shift', 'on', 'two', 'or', 'three', 'symbols', 'we', 'also', 'show', 'that', 'chaotic', 'behaviors', 'of', 'f', 'while', 'c', 'and', 'd', 'vary', 'as', 'parameters', 'and', 'f', 'is', 'near', 'an', 'antiintegrable', 'limit', 'some', 'numerical', 'results', 'indicates', 'f', 'has', 'hopf', 'bifurcation', 'strange', 'attractors', 'and', 'nested', 'structure', 'of', 'invariant', 'tori']] | [-0.2188919037404769, 0.12930170782948272, -0.051373342350828195, 0.019821914657511097, -0.03467141397358885, -0.1649007026659641, 0.06017051846830104, 0.3466029311969595, -0.2700901978455906, -0.23656970547552808, 0.09807034963104909, -0.30734048413885934, -0.17412344163573645, 0.19795466273943982, -0.04414797832152613, 0.038522760524361765, 0.025849458032270085, 0.07796203276611434, -0.0928307563409139, -0.2105986214185766, 0.35522415341352515, -0.050854960264707254, 0.16836300488332953, 0.012593450134549782, 0.08696680863054013, -0.0513236969797257, 0.018397274154747994, 0.011899252237646648, -0.19204494101064004, 0.0246790758298956, 0.20865067837865287, 0.09204537044433034, 0.2152249094467821, -0.30133290919211675, -0.175732257088453, 0.16395005596063608, 0.15635949669774832, 0.004615177267520987, -0.008187129827796147, -0.23802205827087164, 0.14370650791053502, -0.10820542403303508, -0.13648617499999982, -0.10557890715042376, 0.12369167013752784, 0.047936696151737124, -0.33207697908774036, 0.015756569483991765, 0.10161722159751181, 0.11938593211531076, -0.03590152666130859, -0.12549848240835346, -0.11103815400647878, 0.10931212606813477, 0.03218859261042386, 0.09359047434705678, 0.10583100709097706, -0.06342779940987041, -0.07281915845902953, 0.3536489257711987, -0.09507971573269593, -0.24245388781045615, 0.18979433030087747, -0.16962643913081232, -0.14679513454771126, 0.09898791516656583, 0.14525028014168986, 0.14415867078416753, -0.04081443341433527, 0.1885008619585347, -0.08389722239961936, 0.16376621816812506, 0.10544880249818682, -0.012244496889904423, 0.154712342751599, 0.07572285961008297, 0.10968676002977311, 0.12305457352985681, -0.04495398478389208, -0.058276875875890255, -0.33223129523795025, -0.12955700563934613, -0.14118916358148573, 0.07606181559012325, -0.08997317350303144, -0.17804431590198908, 0.39254108146887345, 0.06807993613578871, 0.28802349895484886, 0.04868658559445186, 0.2139417805603512, 0.12403157906881906, -0.014326446907120352, 0.10593541879382617, 0.16381888805569, 0.09369592448171526, 0.003498285723287823, -0.17515227012336254, -0.008211424367783486, 0.06561068105423506] |
709.1117 | Theory of Electromotive Force Induced by Domain Wall Motion | We formulate a theory on the dynamics of conduction electrons in the presence
of moving magnetic textures in ferromagnetic materials. We show that the
variation of local magnetization in both space and time gives rise to
topological fields, which induce electromotive forces on the electrons.
Universal results are obtained for the emf induced by both transverse and
vortex domain walls traveling in a magnetic film strip, and their measurement
may provide clear characterization on the motion of such walls.
| cond-mat.mtrl-sci cond-mat.mes-hall | we formulate a theory on the dynamics of conduction electrons in the presence of moving magnetic textures in ferromagnetic materials we show that the variation of local magnetization in both space and time gives rise to topological fields which induce electromotive forces on the electrons universal results are obtained for the emf induced by both transverse and vortex domain walls traveling in a magnetic film strip and their measurement may provide clear characterization on the motion of such walls | [['we', 'formulate', 'a', 'theory', 'on', 'the', 'dynamics', 'of', 'conduction', 'electrons', 'in', 'the', 'presence', 'of', 'moving', 'magnetic', 'textures', 'in', 'ferromagnetic', 'materials', 'we', 'show', 'that', 'the', 'variation', 'of', 'local', 'magnetization', 'in', 'both', 'space', 'and', 'time', 'gives', 'rise', 'to', 'topological', 'fields', 'which', 'induce', 'electromotive', 'forces', 'on', 'the', 'electrons', 'universal', 'results', 'are', 'obtained', 'for', 'the', 'emf', 'induced', 'by', 'both', 'transverse', 'and', 'vortex', 'domain', 'walls', 'traveling', 'in', 'a', 'magnetic', 'film', 'strip', 'and', 'their', 'measurement', 'may', 'provide', 'clear', 'characterization', 'on', 'the', 'motion', 'of', 'such', 'walls']] | [-0.20132792412739578, 0.20739892600811546, -0.0495691075331614, 0.038480299418862864, -0.07892601319317576, -0.05015894353295429, 0.024448038579504113, 0.4054539005826168, -0.2779286892261633, -0.3146728895887544, 0.026934824262073713, -0.2509032523118054, -0.10600170349301416, 0.23150757924193824, 0.007712282269863011, -0.02290209791847045, 0.00256985418286316, -0.010045824127044835, -0.0406896208937551, -0.1534780308109107, 0.27612470587291105, -0.06432803210955632, 0.31262070921402946, 0.12177638937660222, 0.07664375575377216, 0.017041991429427004, 0.0417934969403557, 0.0937293469489558, -0.15359976857263652, 0.06399575651540787, 0.14418893716522033, -0.07876717906940399, 0.17742344949252997, -0.5376434812345837, -0.20744305609760783, 0.03598406636215086, 0.11538279500400907, 0.13971682308282987, -0.0946781426178928, -0.30934284088685166, 0.044108707216108524, -0.0667143416991811, -0.10671238506307142, -0.1112735657599059, 0.007134996572674452, 0.0337138662491984, -0.2564413033284341, 0.1183961200398169, 0.1292040464777759, 0.06981798511328577, -0.14451610018157318, -0.05251163259572998, -0.056062203395781635, 0.09727566063262616, 0.08277346620548375, 0.07892450915437334, 0.1836743772536799, -0.16320620757185772, -0.14678865403549957, 0.3562234473662286, -0.05816460383136438, -0.20000498504024236, 0.19965384842804337, -0.1972662623488356, -0.006462507981429749, 0.1505799866694061, 0.19799774367350473, 0.08450727632764397, -0.11598085816006494, 0.07740486438365511, -0.02843126452445418, 0.10938442598651105, 0.06700364635856468, 0.048540911006540816, 0.2661666169149589, 0.1466344226670416, 0.09500738266926212, 0.1585004649013045, -0.1463011214833801, -0.06985646753890228, -0.2948337210978888, -0.18158159956713266, -0.1912248264290864, 0.039620275588380466, -0.053818053420952854, -0.23954209308081034, 0.4428973976180806, 0.13998164423546883, 0.17555226323959605, -0.04624004951896311, 0.24911870845133746, 0.08122556388991166, 0.046028907867620074, 0.05904215504710056, 0.2612503936537836, 0.1806492366492041, 0.1382399151467164, -0.27121707136872447, 0.034069124774276455, 0.049553817680364924] |
709.1118 | On the uniqueness of certain families of holomorphic disks | A Zoll metric is a Riemannian metric whose geodesics are all circles of equal
length. Via the twistor correspondence of LeBrun and Mason, a Zoll metric on
the 2 dimensional sphere corresponds to a family of holomorphic disks in CP_2
with boundary in a totally real submanifold P. In this paper, we show that for
a fixed totally real submanifold P, such a family is unique if it exists,
implying that the twistor correspondence of LeBrun and Mason is injective. One
of the key ingredients in the proof is the blow-up and blow-down constructions
in the sense of Melrose.
| math.DG math.GT | a zoll metric is a riemannian metric whose geodesics are all circles of equal length via the twistor correspondence of lebrun and mason a zoll metric on the 2 dimensional sphere corresponds to a family of holomorphic disks in cp_2 with boundary in a totally real submanifold p in this paper we show that for a fixed totally real submanifold p such a family is unique if it exists implying that the twistor correspondence of lebrun and mason is injective one of the key ingredients in the proof is the blowup and blowdown constructions in the sense of melrose | [['a', 'zoll', 'metric', 'is', 'a', 'riemannian', 'metric', 'whose', 'geodesics', 'are', 'all', 'circles', 'of', 'equal', 'length', 'via', 'the', 'twistor', 'correspondence', 'of', 'lebrun', 'and', 'mason', 'a', 'zoll', 'metric', 'on', 'the', '2', 'dimensional', 'sphere', 'corresponds', 'to', 'a', 'family', 'of', 'holomorphic', 'disks', 'in', 'cp_2', 'with', 'boundary', 'in', 'a', 'totally', 'real', 'submanifold', 'p', 'in', 'this', 'paper', 'we', 'show', 'that', 'for', 'a', 'fixed', 'totally', 'real', 'submanifold', 'p', 'such', 'a', 'family', 'is', 'unique', 'if', 'it', 'exists', 'implying', 'that', 'the', 'twistor', 'correspondence', 'of', 'lebrun', 'and', 'mason', 'is', 'injective', 'one', 'of', 'the', 'key', 'ingredients', 'in', 'the', 'proof', 'is', 'the', 'blowup', 'and', 'blowdown', 'constructions', 'in', 'the', 'sense', 'of', 'melrose']] | [-0.22434266197561015, 0.09092929791141716, -0.10372422036310339, 0.07231476388264899, -0.09703463016576463, -0.14315899183522118, -0.0306476146979916, 0.3113011062672042, -0.2309216283581624, -0.179828555652439, 0.09206594005897359, -0.3102529920735208, -0.22897647065345686, 0.17160257147248797, -0.1550294976502732, 0.017422007481482895, 0.050760237001484694, 0.09307962067124217, -0.08361604619263248, -0.2793685421535764, 0.46718056356967097, -0.06066803605944821, 0.20938551835151334, 0.08049272814050618, 0.154212376681354, 0.0022283685628813926, 0.016513800460167906, 0.02347688369377695, -0.19306576375763115, 0.11341110742509816, 0.263810043884065, 0.11290185948871452, 0.17914586000596033, -0.3142766028811986, -0.16379766298853088, 0.1859479463762707, 0.12588149279525335, -0.006397176261125791, -0.0033297411065003036, -0.2550758943526131, 0.09152181944668744, -0.053166260491266396, -0.17749151615708164, -0.05294503544391406, 0.0981275670117501, -0.03264973040745415, -0.22108875880149578, -0.018084387177356866, 0.1617472334294533, 0.09782825442350875, -0.06596478869000243, -0.04589386886418468, -0.07800972326235338, 0.03611362511480246, 0.044160980157403634, 0.13808556405752145, 0.05677427620288323, -0.027630603358145413, -0.08890285610686988, 0.3555125376301338, -0.07342118770824839, -0.30814985747712503, 0.14551909706282495, -0.15378696909832834, -0.13269940109434303, 0.11957517577655087, 0.0899782387464486, 0.20584659421383733, -0.06829614883683847, 0.23660219420098014, -0.1240953943031285, 0.06210164728602677, 0.16456031587181819, -0.05553388013269263, 0.17314864468356275, 0.10862478388078285, 0.1322705980703103, 0.10956667257517558, -0.011653772320109184, -0.08120222152163735, -0.38233871712829126, -0.26571272140030155, -0.17552821885799105, 0.17526453963923033, -0.15477312871239104, -0.2112174325744913, 0.35032191195271234, -0.01444876532721794, 0.23524582774538283, 0.1015682274645025, 0.2225778264950754, 0.014774416818229406, 0.029351173076929166, 0.12475144964080737, 0.1882506924084002, 0.17057020047966467, 0.009369311426211186, -0.09136157900546536, -0.05516969011814305, 0.1990857662143882] |
709.1119 | Can rigidly rotating polytropes be sources of the Kerr metric? | We use a recent result by Cabezas et al. to build up an approximate solution
to the gravitational field created by a rigidly rotating polytrope. We solve
the linearized Einstein equations inside and outside the surface of zero
pressure including second-order corrections due to rotational motion to get an
asymptotically flat metric in a global harmonic coordinate system. We prove
that if the metric and their first derivatives are continuous on the matching
surface up to this order of approximation, the multipole moments of this metric
cannot be fitted to those of the Kerr metric.
| gr-qc | we use a recent result by cabezas et al to build up an approximate solution to the gravitational field created by a rigidly rotating polytrope we solve the linearized einstein equations inside and outside the surface of zero pressure including secondorder corrections due to rotational motion to get an asymptotically flat metric in a global harmonic coordinate system we prove that if the metric and their first derivatives are continuous on the matching surface up to this order of approximation the multipole moments of this metric cannot be fitted to those of the kerr metric | [['we', 'use', 'a', 'recent', 'result', 'by', 'cabezas', 'et', 'al', 'to', 'build', 'up', 'an', 'approximate', 'solution', 'to', 'the', 'gravitational', 'field', 'created', 'by', 'a', 'rigidly', 'rotating', 'polytrope', 'we', 'solve', 'the', 'linearized', 'einstein', 'equations', 'inside', 'and', 'outside', 'the', 'surface', 'of', 'zero', 'pressure', 'including', 'secondorder', 'corrections', 'due', 'to', 'rotational', 'motion', 'to', 'get', 'an', 'asymptotically', 'flat', 'metric', 'in', 'a', 'global', 'harmonic', 'coordinate', 'system', 'we', 'prove', 'that', 'if', 'the', 'metric', 'and', 'their', 'first', 'derivatives', 'are', 'continuous', 'on', 'the', 'matching', 'surface', 'up', 'to', 'this', 'order', 'of', 'approximation', 'the', 'multipole', 'moments', 'of', 'this', 'metric', 'can', 'not', 'be', 'fitted', 'to', 'those', 'of', 'the', 'kerr', 'metric']] | [-0.10282948258100078, 0.07394230298117084, -0.09200248114939313, 0.027731568637439825, -0.11439617273087303, -0.05911818337093185, 0.0034600023354869336, 0.3463628023940449, -0.2703967329095273, -0.2908766830259992, 0.07218859180162933, -0.2858544813740688, -0.12616333244174407, 0.14734242536360398, -0.07645494740427239, 0.06414201348767772, -0.018829113386649016, 0.055242562867836874, -0.10486317226847557, -0.2584064906850472, 0.3400651782188409, 0.06601085214060731, 0.2240830949837497, 0.009477287972307144, 0.10845193952263799, -0.04598086405167123, 0.009584517024147013, 0.07127167311652254, -0.14489487141243748, 0.10799082053320792, 0.18754229132900946, 0.08085303997844069, 0.22505497019543932, -0.41395405238533084, -0.1965014282031916, 0.07687035050669995, 0.10043147672452808, 0.1696655097863792, -0.02582903249882899, -0.31043604264656705, 0.10055158410492974, -0.17417062913106443, -0.21439226655638777, -0.12955185624499185, 0.03116807284944419, 0.014557396318802299, -0.2558420898033849, 0.058671299765895434, 0.0970723052790466, -0.011611958068291036, -0.11597720477341984, -0.020698606704778893, -0.024611857743972603, 0.07676237288493819, 0.06896942143794149, 0.10672740504863516, 0.07892845650106513, -0.07427793460677397, -0.061027318185855016, 0.40115646458192106, -0.14029192359278872, -0.2552363939272861, 0.13950051434221677, -0.16159990283388956, -0.04826247276408443, 0.11679336086187202, 0.20381210352449367, 0.18706594777177088, -0.15874047947969908, 0.1077249377061283, 0.0023184577391172447, 0.15452006402544308, 0.14543239535123575, -0.0476103937641407, 0.218700833201486, 0.04553311865311116, 0.09763992435182445, 0.12082236649560703, -0.04756965288110374, -0.08284299708429899, -0.2976942466048058, -0.13178251587669365, -0.17120987593564982, 0.06636526208861444, -0.10660641238276487, -0.21449351480502324, 0.34750238665340777, 0.10475546916616925, 0.18254798002696285, 0.05114065798018904, 0.28629514379038784, 0.1411325176656343, 0.030339047332745395, 0.1500646044369205, 0.3166651349553528, 0.15699404806946404, 0.07738670295172294, -0.21972934168297797, -0.04062276932017994, 0.12730521069534007] |
709.112 | Quasi-one-dimensional polarized Fermi superfluids | We calculate the zero temperature phase diagram of a polarized two-component
Fermi gas in an array of weakly-coupled parallel one-dimensional (1D) 'tubes'
produced by a two-dimensional optical lattice. Increasing the lattice strength
drives a crossover from three-dimensional (3D) to 1D behavior, stabilizing the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) modulated superfluid phase. We argue
that the most promising regime for observing the FFLO phase is in the quasi-1D
regime, where the atomic motion is largely 1D but there is weak tunneling in
the other directions that stabilizes long range order. In the FFLO phase, we
describe a phase transition where the quasiparticle spectrum changes from
gapless near the 3D regime to gapped in quasi-1D.
| cond-mat.other cond-mat.supr-con | we calculate the zero temperature phase diagram of a polarized twocomponent fermi gas in an array of weaklycoupled parallel onedimensional 1d tubes produced by a twodimensional optical lattice increasing the lattice strength drives a crossover from threedimensional 3d to 1d behavior stabilizing the fuldeferrelllarkinovchinnikov fflo modulated superfluid phase we argue that the most promising regime for observing the fflo phase is in the quasi1d regime where the atomic motion is largely 1d but there is weak tunneling in the other directions that stabilizes long range order in the fflo phase we describe a phase transition where the quasiparticle spectrum changes from gapless near the 3d regime to gapped in quasi1d | [['we', 'calculate', 'the', 'zero', 'temperature', 'phase', 'diagram', 'of', 'a', 'polarized', 'twocomponent', 'fermi', 'gas', 'in', 'an', 'array', 'of', 'weaklycoupled', 'parallel', 'onedimensional', '1d', 'tubes', 'produced', 'by', 'a', 'twodimensional', 'optical', 'lattice', 'increasing', 'the', 'lattice', 'strength', 'drives', 'a', 'crossover', 'from', 'threedimensional', '3d', 'to', '1d', 'behavior', 'stabilizing', 'the', 'fuldeferrelllarkinovchinnikov', 'fflo', 'modulated', 'superfluid', 'phase', 'we', 'argue', 'that', 'the', 'most', 'promising', 'regime', 'for', 'observing', 'the', 'fflo', 'phase', 'is', 'in', 'the', 'quasi1d', 'regime', 'where', 'the', 'atomic', 'motion', 'is', 'largely', '1d', 'but', 'there', 'is', 'weak', 'tunneling', 'in', 'the', 'other', 'directions', 'that', 'stabilizes', 'long', 'range', 'order', 'in', 'the', 'fflo', 'phase', 'we', 'describe', 'a', 'phase', 'transition', 'where', 'the', 'quasiparticle', 'spectrum', 'changes', 'from', 'gapless', 'near', 'the', '3d', 'regime', 'to', 'gapped', 'in', 'quasi1d']] | [-0.22999966684146783, 0.30123851477626223, -0.045765862055122855, 0.005765800546875901, -0.025541459261016412, -0.19311777270737696, 0.06257997384845194, 0.37322654019702567, -0.27440866925224494, -0.16608142064545642, 0.0072791698632169175, -0.2965679372152822, -0.10771152028305964, 0.14190709460526704, 0.08340882720764388, 0.02574200047793883, -0.03180952895517376, -0.07499341626058925, -0.14269024691205812, -0.18264565266330135, 0.3034621694548564, -0.016223991721529853, 0.3529813613234596, 0.03384029302661392, 0.00754211385819045, -0.006866959935392845, 0.1362772517583587, 0.01760072188282555, -0.18880800953709034, -0.049529474334915655, 0.2702458688142625, -0.13225852033462038, 0.1299636639739302, -0.43250566096129744, -0.25444689874050463, 0.07982632535382767, 0.2287763421508399, 0.20354089215397836, -0.055337820422242986, -0.3137875703925436, -0.02935644889419729, -0.17564034286293795, -0.18488473381254483, -0.07131658138876612, 0.003816779385405508, -0.020157537277025933, -0.2151695248416879, 0.09594589260576124, 0.058434157279341224, 0.07491850641302088, -0.09147183110471815, -0.01898356187157333, -0.0527009140255607, 0.06411789849146524, -0.001221220455640419, 0.10953534479379992, 0.072354876880788, -0.18412830140864986, -0.04639265048317611, 0.3932040700731291, -0.10896428816906172, -0.09667867417023941, 0.19216822762550279, -0.2133422550067983, -0.06733015508983622, 0.2278173699128357, 0.09766576501794837, 0.037535018533129585, -0.06620087359439243, 0.07061642292802307, -0.04959551150148565, 0.1848112977467033, -0.01948419475123625, 0.057238768682476474, 0.3125148129226132, 0.23472384483214806, 0.05838784432377327, 0.1919510106053415, -0.19294981753284282, -0.1456379962915724, -0.23199100674722684, -0.13693025931715966, -0.24509012306066738, -0.0038277388031763785, -0.02969820880839093, -0.22202788094820625, 0.40464713367718186, 0.163853760834106, 0.2044660241343081, -0.0761015467769043, 0.25909763773987915, 0.1268199368274178, 0.0002373501171611927, 0.05607163867151195, 0.2802987126040865, 0.12496599556073885, 0.1474075690441003, -0.30542698410254987, -0.025350158183242787, 0.07918884499337185] |
709.1121 | Integral cohomology of certain Picard modular surfaces | Let Gamma be a congruence subgroup of the Picard modular group of an
imaginary number field k, and let D be the associated symmetric space. We
describe a method to compute the integral cohomology of the locally symmetric
space Gamma\D. The method is implemented for the case k=Q(i) and k=Q(sqrt(-3)),
and the cohomology is computed for various Gamma.
| math.NT | let gamma be a congruence subgroup of the picard modular group of an imaginary number field k and let d be the associated symmetric space we describe a method to compute the integral cohomology of the locally symmetric space gammad the method is implemented for the case kqi and kqsqrt3 and the cohomology is computed for various gamma | [['let', 'gamma', 'be', 'a', 'congruence', 'subgroup', 'of', 'the', 'picard', 'modular', 'group', 'of', 'an', 'imaginary', 'number', 'field', 'k', 'and', 'let', 'd', 'be', 'the', 'associated', 'symmetric', 'space', 'we', 'describe', 'a', 'method', 'to', 'compute', 'the', 'integral', 'cohomology', 'of', 'the', 'locally', 'symmetric', 'space', 'gammad', 'the', 'method', 'is', 'implemented', 'for', 'the', 'case', 'kqi', 'and', 'kqsqrt3', 'and', 'the', 'cohomology', 'is', 'computed', 'for', 'various', 'gamma']] | [-0.204629715788981, 0.10034713038501274, -0.12729147095875493, 0.026503890483832823, -0.10893617758270481, -0.12654561615259996, -0.03545049924788804, 0.3388981058358632, -0.3455992602454177, -0.21959085756077848, 0.09067805255522374, -0.22918273076607748, -0.08395265485160053, 0.2325275518513959, -0.04709547363093187, -0.05370210857403561, -0.007279207231476903, 0.16699205213708096, -0.07519983894298062, -0.2545369513461302, 0.3799475632479479, -0.026073201302567434, 0.1927202366822367, 0.008303646736874663, 0.07307472641595864, 0.027752364343353386, -0.028911718777541458, -0.011634523459461293, -0.12304691599023625, 0.13878279697984972, 0.29913689867304316, 0.050998645583980574, 0.18538856275122742, -0.3334091992663412, -0.1231471749247405, 0.26444074965949205, 0.12563044515615007, -0.0501395254556475, 0.01016295815272064, -0.2827749120770022, 0.14686223787480387, -0.1878188464084062, -0.19070216165534382, -0.10786557920148661, 0.09330181666079844, -0.020920821304978996, -0.30235800061952967, -0.04655264530748386, -0.025979453055509204, 0.10603366514410952, -0.06910450268408348, -0.11353373544387005, -0.040431528940299076, 0.07087196082936535, -0.037599227591899445, 0.10935963048792348, 0.0966763396281749, -0.04733275129170767, -0.09811859012677751, 0.42118747134147017, -0.07136661904574983, -0.20904969224898978, 0.06385496359896557, -0.1779709485648521, -0.12814030635716586, 0.16715822257262108, 0.1434359194164903, 0.21013760201408174, 0.0013177778716359672, 0.24933775933158328, -0.09021122483857746, 0.06460951953516181, 0.029898033730268222, -0.08284252843466298, 0.08568149830760627, 0.047876488883048296, 0.04779549076318227, 0.14404978469447716, -0.037044221054610055, 0.03545729989378617, -0.38284083764100896, -0.253248480630332, -0.17285400731007344, 0.10378124883623216, -0.12512928423203792, -0.1464870322881074, 0.3800400341539804, 0.0149592511668994, 0.14348689149382748, 0.12327153689292228, 0.20202016433427944, 0.1156965302110746, 0.04237536074400976, 0.10107840931621091, 0.05562032078360689, 0.24352495019035092, -0.07257861700230117, -0.23605174588938727, -0.02148121830621927, 0.18577919059015555] |
709.1122 | Takai Duality for Crossed Products by Hilbert C*-bimodules | We discuss the crossed product by the dual action of the circle on the
crossed product of a C*-algebra A by a Hilbert C*-bimodule X. When X is an A-A
Morita equivalence bimodule, the double crossed product is shown to be Morita
equivalent to the C*-algebra A.
| math.OA | we discuss the crossed product by the dual action of the circle on the crossed product of a calgebra a by a hilbert cbimodule x when x is an aa morita equivalence bimodule the double crossed product is shown to be morita equivalent to the calgebra a | [['we', 'discuss', 'the', 'crossed', 'product', 'by', 'the', 'dual', 'action', 'of', 'the', 'circle', 'on', 'the', 'crossed', 'product', 'of', 'a', 'calgebra', 'a', 'by', 'a', 'hilbert', 'cbimodule', 'x', 'when', 'x', 'is', 'an', 'aa', 'morita', 'equivalence', 'bimodule', 'the', 'double', 'crossed', 'product', 'is', 'shown', 'to', 'be', 'morita', 'equivalent', 'to', 'the', 'calgebra', 'a']] | [-0.16807803836344007, 0.13819786770785714, -0.06220715693099067, 0.04282439411419662, -0.02776215572227189, -0.13945912450869033, -0.03998771916203042, 0.4523101588512989, -0.439526212342242, -0.09681184695875074, 0.09253830319032708, -0.22362565691087474, -0.06742022012142425, 0.1266955542080897, -0.1990192792120766, -0.07989134790098414, 0.13472162456588543, 0.21394508950253752, -0.1692313988930843, -0.23027292705398608, 0.47054407579150603, 0.04554783807512611, 0.2512480274952473, 0.06547599654406944, 0.10014718596605544, -0.0001564153291760607, 0.015073624072953108, 0.018258679420390028, -0.12604101977132737, 0.10060628872126975, 0.2627771127017889, 0.08105657964281024, 0.22700330625942094, -0.33011484843619326, -0.011987818127616923, 0.12087989434045046, 0.06192351374378864, -0.14347319273238487, 0.031106515071711482, -0.3713382135759643, -0.0031459104824573436, -0.32761166585569684, -0.04562995827538853, -0.037018083362899565, 0.11720026133859411, -0.08971242860276649, -0.31773011299206855, -0.10911400307049142, 0.08996873465862046, 0.05727031745729928, -0.0660977540537715, 0.03000124563720632, -0.11319518071460596, 0.06867459827372706, -0.0517961828810896, 0.03550767702387368, 0.1766071277868716, -0.03836224045842252, -0.14830020100789817, 0.3782678476356445, -0.09041252259556402, -0.18217206920715087, 0.11426583667622602, -0.2045157118403214, -0.12737152416338313, 0.183356136777141, -0.061436104251349224, 0.16544107350699128, -0.026729809116891663, 0.21867933813878832, -0.20721285057036168, 0.0327389998401099, 0.0535186378562704, -0.019591345630110578, 0.12249088676725613, 0.08113640457134139, 0.12159023310077634, 0.20478690488689996, 0.052860161611572545, 0.001241078748902742, -0.3481845884247029, -0.2597498939511307, -0.05510578940602693, 0.24304380406566123, -0.08425605928208282, -0.16249555259375795, 0.37276976357432123, 0.06547911924884674, 0.20534409115962843, 0.022197230322722424, 0.21733338813832465, 0.11274930564785733, 0.12473083271625195, -0.0007765995972651116, 0.18568084087777645, 0.37024147020890674, -0.0723118567740188, -0.13586170083664834, -0.08915864059978977, 0.3046278060671497] |
709.1123 | Monte-Carlo simulation for fragment mass and kinetic energy
distributions from neutron induced fission of 235U | The mass and kinetic energy distribution of nuclear fragments from thermal
neutron induced fission of 235U have been studied using a Monte-Carlo
simulation. Besides reproducing the pronounced broadening on the standard
deviation of the final fragment kinetic energy distribution $\sigma_{e}(m)$
around the mass number m = 109, our simulation also produces a second
broadening around m = 125, that is in agreement with the experimental data
obtained by Belhafaf et al. These results are consequence of the
characteristics of the neutron emission, the variation in the primary fragment
mean kinetic energy and the yield as a function of the mass.
| physics.comp-ph | the mass and kinetic energy distribution of nuclear fragments from thermal neutron induced fission of 235u have been studied using a montecarlo simulation besides reproducing the pronounced broadening on the standard deviation of the final fragment kinetic energy distribution sigma_em around the mass number m 109 our simulation also produces a second broadening around m 125 that is in agreement with the experimental data obtained by belhafaf et al these results are consequence of the characteristics of the neutron emission the variation in the primary fragment mean kinetic energy and the yield as a function of the mass | [['the', 'mass', 'and', 'kinetic', 'energy', 'distribution', 'of', 'nuclear', 'fragments', 'from', 'thermal', 'neutron', 'induced', 'fission', 'of', '235u', 'have', 'been', 'studied', 'using', 'a', 'montecarlo', 'simulation', 'besides', 'reproducing', 'the', 'pronounced', 'broadening', 'on', 'the', 'standard', 'deviation', 'of', 'the', 'final', 'fragment', 'kinetic', 'energy', 'distribution', 'sigma_em', 'around', 'the', 'mass', 'number', 'm', '109', 'our', 'simulation', 'also', 'produces', 'a', 'second', 'broadening', 'around', 'm', '125', 'that', 'is', 'in', 'agreement', 'with', 'the', 'experimental', 'data', 'obtained', 'by', 'belhafaf', 'et', 'al', 'these', 'results', 'are', 'consequence', 'of', 'the', 'characteristics', 'of', 'the', 'neutron', 'emission', 'the', 'variation', 'in', 'the', 'primary', 'fragment', 'mean', 'kinetic', 'energy', 'and', 'the', 'yield', 'as', 'a', 'function', 'of', 'the', 'mass']] | [-0.050264579796030655, 0.16434153969658866, -0.09584860705780153, 0.11292828037283509, 0.014336500787320211, 0.012672862182035274, 0.005080995783593851, 0.3331875041914509, -0.20294869786546058, -0.4130315344358228, -0.0019135429960742746, -0.3086838249846832, 0.011793849029645477, 0.21893612275706584, 0.015516451240718826, 0.049355790052639764, 0.09282796812176551, 0.04501616522746602, -0.07122264617871608, -0.1448235687746945, 0.3173195617213442, 0.1595552842487994, 0.21961423500738653, 0.0680371847510165, 0.06747780838794046, -0.012576560031373016, -0.013658104435607945, 0.011056236922740936, -0.16104066417801263, 0.05829866205404522, 0.15381359809903986, 0.07531648413902245, 0.20780539711380436, -0.36214697316826616, -0.2205563465267727, 0.09747667775787029, 0.0976652269846923, 0.06834051993281878, -0.128115167808911, -0.22801435813691812, 0.058274925801634174, -0.2249376360307803, -0.11604093577347926, -0.016135384895137904, 0.016233464078881692, 0.09182266613526135, -0.26300892270333376, 0.1599560130322136, 0.024210970886003647, 0.02274100215548707, -0.0973938354771085, -0.2148403701535666, -0.11562785234772745, 0.03590756438230885, 0.059161313653433904, 0.0376044520100137, 0.184882341112075, -0.09265373176030968, -0.05626737628823396, 0.3509506671617441, -0.08248949477919522, -0.10700523895547562, 0.12901846519383342, -0.1786637129310096, -0.11949333463094591, 0.23407961959115317, 0.10848324255268905, 0.11038199165528736, -0.14679858686652072, 0.048212417654606717, -0.053404880745202, 0.178085499277492, 0.08615318257073612, 0.027986502919880765, 0.216742974264336, 0.19827993215450576, -0.055122226023009605, 0.09179723821820442, -0.17742858242877213, -0.12835097167768142, -0.2975040126745541, -0.11228359987258374, -0.1883583165340356, 0.0467226311766072, -0.06717482589865728, -0.10117377809335276, 0.3659097040168096, 0.10361863625687115, 0.2286548028056769, 0.06665606089128354, 0.2942349841222935, 0.12453667738369291, 0.0726783082522836, 0.06489786693403862, 0.2785551000216054, 0.2045993284015081, 0.1195964500279233, -0.3023295876016173, 0.05979400849181045, -0.0022577615934856157] |
709.1124 | The Adiabatic Instability on Cosmology's Dark Side | We consider theories with a nontrivial coupling between the matter and dark
energy sectors. We describe a small scale instability that can occur in such
models when the coupling is strong compared to gravity, generalizing and
correcting earlier treatments. The instability is characterized by a negative
sound speed squared of an effective coupled dark matter/dark energy fluid. Our
results are general, and applicable to a wide class of coupled models and
provide a powerful, redshift-dependent tool, complementary to other
constraints, with which to rule many of them out. A detailed analysis and
applications to a range of models are presented in a longer companion paper.
| astro-ph | we consider theories with a nontrivial coupling between the matter and dark energy sectors we describe a small scale instability that can occur in such models when the coupling is strong compared to gravity generalizing and correcting earlier treatments the instability is characterized by a negative sound speed squared of an effective coupled dark matterdark energy fluid our results are general and applicable to a wide class of coupled models and provide a powerful redshiftdependent tool complementary to other constraints with which to rule many of them out a detailed analysis and applications to a range of models are presented in a longer companion paper | [['we', 'consider', 'theories', 'with', 'a', 'nontrivial', 'coupling', 'between', 'the', 'matter', 'and', 'dark', 'energy', 'sectors', 'we', 'describe', 'a', 'small', 'scale', 'instability', 'that', 'can', 'occur', 'in', 'such', 'models', 'when', 'the', 'coupling', 'is', 'strong', 'compared', 'to', 'gravity', 'generalizing', 'and', 'correcting', 'earlier', 'treatments', 'the', 'instability', 'is', 'characterized', 'by', 'a', 'negative', 'sound', 'speed', 'squared', 'of', 'an', 'effective', 'coupled', 'dark', 'matterdark', 'energy', 'fluid', 'our', 'results', 'are', 'general', 'and', 'applicable', 'to', 'a', 'wide', 'class', 'of', 'coupled', 'models', 'and', 'provide', 'a', 'powerful', 'redshiftdependent', 'tool', 'complementary', 'to', 'other', 'constraints', 'with', 'which', 'to', 'rule', 'many', 'of', 'them', 'out', 'a', 'detailed', 'analysis', 'and', 'applications', 'to', 'a', 'range', 'of', 'models', 'are', 'presented', 'in', 'a', 'longer', 'companion', 'paper']] | [-0.13581317746013935, 0.13604878792220482, -0.09969406007079497, 0.1133139434736222, -0.1049757367266076, -0.17523712007816702, -0.006757730845406297, 0.3311896091238374, -0.2294258317865786, -0.34859800237630095, 0.07273315423656078, -0.24785360888622346, -0.11062631041166328, 0.21706003903278281, -0.00457086789732178, 0.028970178527136643, 0.034562162966245695, -0.005287084925553895, -0.04687415335460433, -0.20206323508173227, 0.3100066716671877, 0.0686564324955855, 0.24024432759199824, 0.07378305561530094, 0.08863308419074331, -0.03664531362730832, -0.040668601640278385, 0.06218154211306856, -0.1735527536594115, 0.09664027135641802, 0.23729612994963342, 0.07051686911533277, 0.2521210897758248, -0.39754914911020367, -0.27575041104462883, 0.12178698986591328, 0.1179972987067664, 0.1501386383492943, -0.06643660839292265, -0.2540354985921156, 0.05910268913998845, -0.20347999480242532, -0.10684083523228764, -0.08926132464271394, -0.0028898508021874087, 0.025377051230697403, -0.29762386098903204, 0.10466739783767566, 0.0323237572619248, 0.0066860917157360485, -0.05405126474797726, -0.0659816669200414, 0.008473878471358191, 0.0621995460898948, 0.0843762002075978, 0.017225069587030226, 0.09720912435136381, -0.17917354542407252, -0.07021671750006221, 0.40144191185633343, -0.12041170922152343, -0.1958453354736169, 0.26710186877642716, -0.07413182883700799, -0.11923351350816942, 0.09822297495390687, 0.17812666948330366, 0.1396453805533903, -0.13098314605678232, 0.0623093729367524, -0.006701820184077535, 0.1729026735848969, 0.015746421346973096, 0.0383579093652467, 0.29466184744877477, 0.17667113909985693, 0.03214469386564035, 0.10924535700885046, -0.03355537132565154, -0.10787293825830732, -0.3348733500355766, -0.1337278799198213, -0.09955830764735028, 0.025560982949987408, -0.07744585726606948, -0.1453509268262202, 0.38316161161111223, 0.15481730814402303, 0.18392916942192686, 0.05909912283864937, 0.2858672937378287, 0.12245756114190001, 0.08122631765006753, 0.06313711067750341, 0.28804448553627093, 0.1489931744944659, 0.05861943987464266, -0.18636507501249158, -0.027508009945796358, -0.0018567205184981937] |
709.1125 | Pyroxenes: A new class of multiferroics | Pyroxenes with the general formula $AM$Si$_2$O$_6$ ($A$ = mono- or divalent
metal, $M$ = di- or trivalent metal) are shown to be a new class of
multiferroic materials. In particular, we have found so far that
NaFeSi$_2$O$_6$ becomes ferroelectric in a magnetically ordered state below
$\simeq 6$ K. Similarly, magnetically driven ferroelectricity is also detected
in the Li homologues, LiFeSi$_2$O$_6$ ($T_C \simeq 18$ K) and LiCrSi$_2$O$_6$
($T_C \simeq 11$ K). In all these monoclinic systems the electric polarization
can be strongly modified by magnetic fields. Measurements of magnetic
susceptibility, pyroelectric current and dielectric constants (and their
dependence on magnetic field) are performed using a natural crystal of aegirine
(NaFeSi$_2$O$_6$) and synthetic crystals of LiFeSi$_2$O$_6$ and LiCrSi$_2$O$_6$
grown from melt solution. For NaFeSi$_2$O$_6$ a temperature versus magnetic
field phase diagram for NaFeSi$_2$O$_6$ is proposed. Exchange constants are
computed on the basis of {\it ab initio} band structure calculations. The
possibility of a spiral magnetic structure caused by frustration as origin of
the multiferroic behaviour is discussed. We propose that other pyroxenes may
also be multiferroic, and that the versatility of this family offers an
exceptional opportunity to study general conditions for and mechanisms of
magnetically driven ferroelectricity.
| cond-mat.str-el | pyroxenes with the general formula amsi_2o_6 a mono or divalent metal m di or trivalent metal are shown to be a new class of multiferroic materials in particular we have found so far that nafesi_2o_6 becomes ferroelectric in a magnetically ordered state below simeq 6 k similarly magnetically driven ferroelectricity is also detected in the li homologues lifesi_2o_6 t_c simeq 18 k and licrsi_2o_6 t_c simeq 11 k in all these monoclinic systems the electric polarization can be strongly modified by magnetic fields measurements of magnetic susceptibility pyroelectric current and dielectric constants and their dependence on magnetic field are performed using a natural crystal of aegirine nafesi_2o_6 and synthetic crystals of lifesi_2o_6 and licrsi_2o_6 grown from melt solution for nafesi_2o_6 a temperature versus magnetic field phase diagram for nafesi_2o_6 is proposed exchange constants are computed on the basis of it ab initio band structure calculations the possibility of a spiral magnetic structure caused by frustration as origin of the multiferroic behaviour is discussed we propose that other pyroxenes may also be multiferroic and that the versatility of this family offers an exceptional opportunity to study general conditions for and mechanisms of magnetically driven ferroelectricity | [['pyroxenes', 'with', 'the', 'general', 'formula', 'amsi_2o_6', 'a', 'mono', 'or', 'divalent', 'metal', 'm', 'di', 'or', 'trivalent', 'metal', 'are', 'shown', 'to', 'be', 'a', 'new', 'class', 'of', 'multiferroic', 'materials', 'in', 'particular', 'we', 'have', 'found', 'so', 'far', 'that', 'nafesi_2o_6', 'becomes', 'ferroelectric', 'in', 'a', 'magnetically', 'ordered', 'state', 'below', 'simeq', '6', 'k', 'similarly', 'magnetically', 'driven', 'ferroelectricity', 'is', 'also', 'detected', 'in', 'the', 'li', 'homologues', 'lifesi_2o_6', 't_c', 'simeq', '18', 'k', 'and', 'licrsi_2o_6', 't_c', 'simeq', '11', 'k', 'in', 'all', 'these', 'monoclinic', 'systems', 'the', 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709.1126 | Some Monotonicity Properties of Gamma and $q$-gamma Functions | We prove some properties of completely monotonic functions and apply them to
obtain results on gamma and $q$-gamma functions.
| math.CA | we prove some properties of completely monotonic functions and apply them to obtain results on gamma and qgamma functions | [['we', 'prove', 'some', 'properties', 'of', 'completely', 'monotonic', 'functions', 'and', 'apply', 'them', 'to', 'obtain', 'results', 'on', 'gamma', 'and', 'qgamma', 'functions']] | [-0.05211379447657811, 0.06421843845103133, -0.13049947166521297, 0.13997509217772044, -0.08314785380896769, -0.14110025381179234, 0.09933701883021154, 0.4507390092078008, -0.32283029705286026, -0.14474422036130963, 0.0745250180510706, -0.3081673058730207, -0.19509287492225044, 0.2795430892392209, -0.011337972491195327, 0.07681980836940439, 0.02651422225723141, 0.004353651678875873, -0.15583455910612093, -0.26396549297006505, 0.3744690839789416, -0.08790889284328411, 0.1855773822845597, 0.15898092032263153, 0.04363630584588176, 0.03745044184554564, -0.08557429880295929, -0.05284776440576503, -0.28410117426200915, 0.06276382878422737, 0.22156787604877823, 0.16515135325148309, 0.18816839001680674, -0.3657458926502027, -0.13038803803685464, 0.1417389235606319, 0.07332573203664076, -0.033942533411869875, -0.008448433615022191, -0.22146204427668922, 0.1276775918116695, -0.11847469274346765, -0.20129830821564323, -0.2141509969767771, -0.0016286233440041542, 0.19692662912175843, -0.29331132264709786, 0.059369716156078015, 0.09040064874448274, -0.019637833251372763, -0.08544281948553889, -0.18125542047384538, 0.026936989620720084, 0.09990447703258772, 0.07306272977668989, -0.009050030751447929, 0.10207865634737046, -0.1197816432502709, -0.10799289779051353, 0.28035681920224115, -0.04496742309512276, -0.26874260028432073, 0.23541662881248876, -0.19694619047406473, -0.1914395601243565, -0.0018152061016543915, 0.16541331050623403, 0.15887177755173884, -0.10903807035892417, 0.1143870385008325, -0.007790620781873402, 0.1296532257018905, 0.06864471062037505, 0.0669219929136728, 0.04072087983551778, -0.06844950937911083, 0.08047362416982651, 0.2368016945026619, 0.03749686827435844, 0.013907321777782942, -0.3327955238913235, -0.13909763499702277, -0.08926840812752121, 0.09589393103593274, -0.07363957436111952, -0.207291931306061, 0.4089147732838204, 0.059141404142505245, 0.2692301014536305, 0.22665004212850412, 0.1640464849770069, 0.17848307222716117, 0.0318498309995783, 0.06181294765127333, 0.17194774176612937, 0.18013273561863521, 0.026174120825568314, -0.12279150226937705, 0.05038736096436256, 0.11238686529625404] |
709.1127 | Spectral numbers in Floer theories | The chain complexes underlying Floer homology theories typically carry a
real-valued filtration, allowing one to associate to each Floer homology class
a spectral number defined as the infimum of the filtration levels of chains
representing that class. These spectral numbers have been studied extensively
in the case of Hamiltonian Floer homology by Oh, Schwarz, and others. We prove
that the spectral number associated to any nonzero Floer homology class is
always finite, and that the infimum in the definition of the spectral number is
always attained. In the Hamiltonian case, this implies that what is known as
the ``nondegenerate spectrality'' axiom holds on all closed symplectic
manifolds. Our proofs are entirely algebraic and apply to any Floer-type theory
(including Novikov homology) satisfying certain standard formal properties. The
key ingredient is a theorem about the existence of best approximations of
arbitrary elements of finitely generated free modules over Novikov rings by
elements of prescribed submodules with respect to a certain family of
non-Archimedean metrics.
| math.SG math.AT | the chain complexes underlying floer homology theories typically carry a realvalued filtration allowing one to associate to each floer homology class a spectral number defined as the infimum of the filtration levels of chains representing that class these spectral numbers have been studied extensively in the case of hamiltonian floer homology by oh schwarz and others we prove that the spectral number associated to any nonzero floer homology class is always finite and that the infimum in the definition of the spectral number is always attained in the hamiltonian case this implies that what is known as the nondegenerate spectrality axiom holds on all closed symplectic manifolds our proofs are entirely algebraic and apply to any floertype theory including novikov homology satisfying certain standard formal properties the key ingredient is a theorem about the existence of best approximations of arbitrary elements of finitely generated free modules over novikov rings by elements of prescribed submodules with respect to a certain family of nonarchimedean metrics | [['the', 'chain', 'complexes', 'underlying', 'floer', 'homology', 'theories', 'typically', 'carry', 'a', 'realvalued', 'filtration', 'allowing', 'one', 'to', 'associate', 'to', 'each', 'floer', 'homology', 'class', 'a', 'spectral', 'number', 'defined', 'as', 'the', 'infimum', 'of', 'the', 'filtration', 'levels', 'of', 'chains', 'representing', 'that', 'class', 'these', 'spectral', 'numbers', 'have', 'been', 'studied', 'extensively', 'in', 'the', 'case', 'of', 'hamiltonian', 'floer', 'homology', 'by', 'oh', 'schwarz', 'and', 'others', 'we', 'prove', 'that', 'the', 'spectral', 'number', 'associated', 'to', 'any', 'nonzero', 'floer', 'homology', 'class', 'is', 'always', 'finite', 'and', 'that', 'the', 'infimum', 'in', 'the', 'definition', 'of', 'the', 'spectral', 'number', 'is', 'always', 'attained', 'in', 'the', 'hamiltonian', 'case', 'this', 'implies', 'that', 'what', 'is', 'known', 'as', 'the', 'nondegenerate', 'spectrality', 'axiom', 'holds', 'on', 'all', 'closed', 'symplectic', 'manifolds', 'our', 'proofs', 'are', 'entirely', 'algebraic', 'and', 'apply', 'to', 'any', 'floertype', 'theory', 'including', 'novikov', 'homology', 'satisfying', 'certain', 'standard', 'formal', 'properties', 'the', 'key', 'ingredient', 'is', 'a', 'theorem', 'about', 'the', 'existence', 'of', 'best', 'approximations', 'of', 'arbitrary', 'elements', 'of', 'finitely', 'generated', 'free', 'modules', 'over', 'novikov', 'rings', 'by', 'elements', 'of', 'prescribed', 'submodules', 'with', 'respect', 'to', 'a', 'certain', 'family', 'of', 'nonarchimedean', 'metrics']] | [-0.20988538567129625, 0.07935558527742335, -0.08657837980512552, 0.106403944316103, -0.0739783992150947, -0.15932595953231027, -0.045607708323821196, 0.31972865355800995, -0.3380012091226373, -0.249865322127764, 0.09088302132505009, -0.21028128559444031, -0.1360789123534059, 0.17017939986741068, -0.15226969398283885, 0.009228867512950501, 0.07418133813510734, 0.10712789175346311, -0.06692634680611224, -0.2597107034857939, 0.4022070036321147, -0.021856035954358935, 0.1905711396265935, 0.07083998114567684, 0.09121612782812923, -0.006819078421642992, -0.012698474491552158, 0.002728982264335993, -0.17838304883609754, 0.1352739664829519, 0.3171662605893255, 0.05411435739691455, 0.21308547437785227, -0.35990029827125963, -0.17416514482412007, 0.21938136782307188, 0.11846669045694035, 0.013893249170409024, 0.019332342804695247, -0.25043079706317417, 0.14658553435887137, -0.19541408374699895, -0.17237115906197234, -0.07841374760813599, 0.02279234339020278, 0.07950799947638819, -0.18862911808287347, -0.03607382209388756, 0.11076357799290788, 0.12723943893940537, -0.058679284092233136, -0.10407797125113866, -0.07866563788755151, 0.11405893398357407, 0.021635007106076264, 0.021613275560841787, 0.1220276597630164, -0.06321320707189845, -0.14390467832070644, 0.36755982541409177, -0.07321393406132888, -0.26242963691881965, 0.13818946378976907, -0.13525653299961263, -0.22311667961702664, 0.18397163278337544, -0.025701270204471664, 0.15056733958183166, -0.06160240624659906, 0.19963437764643993, -0.10590942393119898, 0.09136877520626947, 0.10873459591787377, 0.03799226184152752, 0.13966285927289743, 0.030809390391480247, 0.13186644800535854, 0.11925923576338525, 0.009059108440561413, -0.1482829473001391, -0.3104960996589046, -0.2054862107301668, -0.17663564199533177, 0.16001742782408337, -0.10813530240941041, -0.21917704071141095, 0.42535213354769297, 0.06282103981911134, 0.1382202327399989, 0.1683857435731223, 0.24566213732893846, 0.05852971048497144, 0.07037543691409055, 0.024750419786668445, 0.10906969728748217, 0.24192836620142125, -0.013525715344185524, -0.11182287955039576, 0.01814612268293105, 0.25004453456280695] |
709.1128 | Adiabatic instability in coupled dark energy-dark matter models | We consider theories in which there exists a nontrivial coupling between the
dark matter sector and the sector responsible for the acceleration of the
universe. Such theories can possess an adiabatic regime in which the
quintessence field always sits at the minimum of its effective potential, which
is set by the local dark matter density. We show that if the coupling strength
is much larger than gravitational, then the adiabatic regime is always subject
to an instability. The instability, which can also be thought of as a type of
Jeans instability, is characterized by a negative sound speed squared of an
effective coupled dark matter/dark energy fluid, and results in the exponential
growth of small scale modes. We discuss the role of the instability in specific
coupled CDM and Mass Varying Neutrino (MaVaN) models of dark energy, and
clarify for these theories the regimes in which the instability can be evaded
due to non-adiabaticity or weak coupling.
| astro-ph | we consider theories in which there exists a nontrivial coupling between the dark matter sector and the sector responsible for the acceleration of the universe such theories can possess an adiabatic regime in which the quintessence field always sits at the minimum of its effective potential which is set by the local dark matter density we show that if the coupling strength is much larger than gravitational then the adiabatic regime is always subject to an instability the instability which can also be thought of as a type of jeans instability is characterized by a negative sound speed squared of an effective coupled dark matterdark energy fluid and results in the exponential growth of small scale modes we discuss the role of the instability in specific coupled cdm and mass varying neutrino mavan models of dark energy and clarify for these theories the regimes in which the instability can be evaded due to nonadiabaticity or weak coupling | [['we', 'consider', 'theories', 'in', 'which', 'there', 'exists', 'a', 'nontrivial', 'coupling', 'between', 'the', 'dark', 'matter', 'sector', 'and', 'the', 'sector', 'responsible', 'for', 'the', 'acceleration', 'of', 'the', 'universe', 'such', 'theories', 'can', 'possess', 'an', 'adiabatic', 'regime', 'in', 'which', 'the', 'quintessence', 'field', 'always', 'sits', 'at', 'the', 'minimum', 'of', 'its', 'effective', 'potential', 'which', 'is', 'set', 'by', 'the', 'local', 'dark', 'matter', 'density', 'we', 'show', 'that', 'if', 'the', 'coupling', 'strength', 'is', 'much', 'larger', 'than', 'gravitational', 'then', 'the', 'adiabatic', 'regime', 'is', 'always', 'subject', 'to', 'an', 'instability', 'the', 'instability', 'which', 'can', 'also', 'be', 'thought', 'of', 'as', 'a', 'type', 'of', 'jeans', 'instability', 'is', 'characterized', 'by', 'a', 'negative', 'sound', 'speed', 'squared', 'of', 'an', 'effective', 'coupled', 'dark', 'matterdark', 'energy', 'fluid', 'and', 'results', 'in', 'the', 'exponential', 'growth', 'of', 'small', 'scale', 'modes', 'we', 'discuss', 'the', 'role', 'of', 'the', 'instability', 'in', 'specific', 'coupled', 'cdm', 'and', 'mass', 'varying', 'neutrino', 'mavan', 'models', 'of', 'dark', 'energy', 'and', 'clarify', 'for', 'these', 'theories', 'the', 'regimes', 'in', 'which', 'the', 'instability', 'can', 'be', 'evaded', 'due', 'to', 'nonadiabaticity', 'or', 'weak', 'coupling']] | [-0.17901242796589686, 0.23335699154800738, -0.09236611339566149, 0.1244170613984346, -0.0635435894116089, -0.1258736369066581, -0.03265061321264952, 0.26530455777297024, -0.26804008265470813, -0.3180695157423971, 0.06291908204220353, -0.2192534756117091, -0.09468835081525478, 0.16408981067116615, 0.03069536488467626, -0.013283065046038432, -0.03415992156050767, 0.05348452339008166, -0.009807159096465274, -0.21354383435901136, 0.3543053206877937, 0.08545799779699771, 0.2483684287427266, 0.08008408135805682, 0.07738560637767622, -0.07319982738417995, 0.04898291003629328, 0.018530108144352582, -0.17675692359973405, 0.028987809180750685, 0.17434117670429466, 0.06878619059137288, 0.2636153060219185, -0.4284264114299777, -0.24116085313118188, 0.16480879606916363, 0.1875068623510302, 0.12839889252235057, -0.06832733945802423, -0.26111634870973316, 0.05035319977297572, -0.18661364926926935, -0.1333159481732851, -0.04257367322351902, 0.010210958781806384, -0.01978101206841066, -0.28224152894423693, 0.14069731216555148, 0.020974947376900418, -0.033708150667630755, -0.07545140594211378, -0.035593026234608166, -0.04609674575240322, 0.015959196225710355, 0.13101752708253753, 0.02439146896432729, 0.14814009139711737, -0.23237935826256514, -0.049945344487027185, 0.4129908642891771, -0.13651142143216177, -0.17881615361596226, 0.20329116256373703, -0.11553245181051694, -0.06818498552118422, 0.11475248523442086, 0.12473280959804157, 0.07960526130286752, -0.08603658581710165, 0.12589289489273386, 0.004800122200843588, 0.18336988101472557, 0.0741244198659518, 0.0495673389245228, 0.327079263136123, 0.1649976636025058, 0.07540283599797233, 0.0789777390320732, -0.05473396255320329, -0.08826236304038079, -0.3554584840016001, -0.1270566711048032, -0.14495254286630138, 0.031073586969298257, -0.11063518623078455, -0.15290796087319208, 0.37855015486288984, 0.13413665249988593, 0.1553158091505764, 0.0035518049981717948, 0.26373434552824965, 0.1651299042846143, 0.07517911437127715, 0.08984653211796952, 0.36903346293149103, 0.13182305327800523, 0.06395738548450884, -0.2740508866582398, 0.003288761220255475, 0.01889132981330963] |
709.1129 | Analysis on disconnected sets | Some aspects of analysis on disconnected sets are briefly discussed, more
along the lines of regions with infinitely many components than Cantor sets.
| math.CA | some aspects of analysis on disconnected sets are briefly discussed more along the lines of regions with infinitely many components than cantor sets | [['some', 'aspects', 'of', 'analysis', 'on', 'disconnected', 'sets', 'are', 'briefly', 'discussed', 'more', 'along', 'the', 'lines', 'of', 'regions', 'with', 'infinitely', 'many', 'components', 'than', 'cantor', 'sets']] | [-0.16779848355698682, 0.16523268106191055, -0.004592863599891248, 0.11910206111876862, 0.013238716951530912, -0.09769151072301295, 0.02546630637801212, 0.39116720110177994, -0.15874515635811765, -0.13541967903628296, 0.1757366866602198, -0.43770617534123035, -0.10785274470791868, 0.34192492529425933, -0.0444180098078821, -0.04313231466095085, 0.09885942292116258, 0.015510156426740728, -0.04655121064380459, -0.2545336778073207, 0.4257746482996837, -0.09619273131956226, 0.234978633750554, 0.01716942538547775, 0.0009899880413127983, -0.09147156230376466, -0.12733114861032885, 0.09427322346069243, -0.1258277130191741, 0.1701681636597799, 0.25977656018474826, 0.17380711102210308, 0.23765452951192856, -0.41289953401555185, -0.22385432287726714, 0.12719160314325406, 0.18438518911843066, -0.011508806244186733, 0.03795296613964677, -0.29035194951069093, 0.07290437202090802, -0.07318908721208572, -0.1969218160957098, -0.1235811487245171, 0.08297480027312817, 0.06604053463746348, -0.08836535108275712, -0.038264036340558014, 0.05128580558559169, 0.14834475407943779, -0.030538131356360795, -0.22030653466430047, -0.0448997102515853, 0.03380336946524356, 0.13168550833411838, -0.047365681005074926, 0.13449025761498057, -0.05738651531788966, -0.12121664878466855, 0.3495497622567674, 0.06294053275348194, -0.24652346498940303, 0.2942196589530162, -0.1653412802387839, -0.24040341484562858, 0.1442393416174404, 0.0937000015831512, 0.08675483602058628, -0.12191620220065764, 0.08612022322157155, -0.043041539621417935, 0.12701701129908147, 0.15220188728088271, 0.09782365404838778, 0.2235658989166436, 0.09359238167171893, 0.08561059713595212, 0.17318055557299647, -0.016251350702393964, -0.16588666144272554, -0.37276594041158323, -0.028638565872350464, -0.04862106156171016, -0.04863832006737104, -0.120976145905645, -0.25495982591224753, 0.4152559676895971, 0.11262069227497863, 0.2680069240943893, -0.020047273081929787, 0.31336432565813477, -0.005496760789790879, 0.03294137508972832, 0.12240464179574148, 0.09398767668576709, 0.16318525467067957, -0.021138999914831442, -0.054535823833683265, 0.029175679057674563, 0.07976173810944286] |
709.113 | Properties of charge density waves in La$_{2-x}$Ba$_{x}$CuO$_4$ | We report a comprehensive x-ray scattering study of charge density wave
(stripe) ordering in $\rm La_{2-x}Ba_xCuO_4 (x \approx 1/8)$, for which the
superconducting $T_c$ is greatly suppressed. Strong superlattice reflections
corresponding to static ordering of charge stripes were observed in this
sample. The structural modulation at the lowest temperature was deduced based
on the intensity of over 70 unique superlattice positions surveyed. We found
that the charge order in this sample is described with one-dimensional charge
density waves, which have incommensurate wave-vectors (0.23, 0, 0.5) and (0,
0.23, 0.5) respectively on neighboring $\rm CuO_2$ planes. The structural
modulation due to the charge density wave order is simply sinusoidal, and no
higher harmonics were observed. Just below the structural transition
temperature, short-range charge density wave correlation appears, which
develops into a large scale charge ordering around 40 K, close to the spin
density wave ordering temperature. However, this charge ordering fails to grow
into a true long range order, and its correlation length saturates at $\sim
230\AA$, and slightly decreases below about 15 K, which may be due to the onset
of two-dimensional superconductivity.
| cond-mat.supr-con cond-mat.str-el | we report a comprehensive xray scattering study of charge density wave stripe ordering in rm la_2xba_xcuo_4 x approx 18 for which the superconducting t_c is greatly suppressed strong superlattice reflections corresponding to static ordering of charge stripes were observed in this sample the structural modulation at the lowest temperature was deduced based on the intensity of over 70 unique superlattice positions surveyed we found that the charge order in this sample is described with onedimensional charge density waves which have incommensurate wavevectors 023 0 05 and 0 023 05 respectively on neighboring rm cuo_2 planes the structural modulation due to the charge density wave order is simply sinusoidal and no higher harmonics were observed just below the structural transition temperature shortrange charge density wave correlation appears which develops into a large scale charge ordering around 40 k close to the spin density wave ordering temperature however this charge ordering fails to grow into a true long range order and its correlation length saturates at sim 230aa and slightly decreases below about 15 k which may be due to the onset of twodimensional superconductivity | [['we', 'report', 'a', 'comprehensive', 'xray', 'scattering', 'study', 'of', 'charge', 'density', 'wave', 'stripe', 'ordering', 'in', 'rm', 'la_2xba_xcuo_4', 'x', 'approx', '18', 'for', 'which', 'the', 'superconducting', 't_c', 'is', 'greatly', 'suppressed', 'strong', 'superlattice', 'reflections', 'corresponding', 'to', 'static', 'ordering', 'of', 'charge', 'stripes', 'were', 'observed', 'in', 'this', 'sample', 'the', 'structural', 'modulation', 'at', 'the', 'lowest', 'temperature', 'was', 'deduced', 'based', 'on', 'the', 'intensity', 'of', 'over', '70', 'unique', 'superlattice', 'positions', 'surveyed', 'we', 'found', 'that', 'the', 'charge', 'order', 'in', 'this', 'sample', 'is', 'described', 'with', 'onedimensional', 'charge', 'density', 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709.1131 | New UltraCool and Halo White Dwarf Candidates in SDSS Stripe 82 | A 2.5 x 100 degree region along the celestial equator (Stripe 82) has been
imaged repeatedly from 1998 to 2005 by the Sloan Digital Sky Survey. A new
catalogue of ~4 million light-motion curves, together with over 200 derived
statistical quantities, for objects in Stripe 82 brighter than r~21.5 has been
constructed by combining these data by Bramich et al. (2007). This catalogue is
at present the deepest catalogue of its kind. Extracting the ~130000 objects
with highest signal-to-noise ratio proper motions, we build a reduced proper
motion diagram to illustrate the scientific promise of the catalogue. In this
diagram disk and halo subdwarfs are well-separated from the cool white dwarf
sequence. Our sample of 1049 cool white dwarf candidates includes at least 8
and possibly 21 new ultracool H-rich white dwarfs (T_eff < 4000K) and one new
ultracool He-rich white dwarf candidate identified from their SDSS optical and
UKIDSS infrared photometry. At least 10 new halo white dwarfs are also
identified from their kinematics.
| astro-ph | a 25 x 100 degree region along the celestial equator stripe 82 has been imaged repeatedly from 1998 to 2005 by the sloan digital sky survey a new catalogue of 4 million lightmotion curves together with over 200 derived statistical quantities for objects in stripe 82 brighter than r215 has been constructed by combining these data by bramich et al 2007 this catalogue is at present the deepest catalogue of its kind extracting the 130000 objects with highest signaltonoise ratio proper motions we build a reduced proper motion diagram to illustrate the scientific promise of the catalogue in this diagram disk and halo subdwarfs are wellseparated from the cool white dwarf sequence our sample of 1049 cool white dwarf candidates includes at least 8 and possibly 21 new ultracool hrich white dwarfs t_eff 4000k and one new ultracool herich white dwarf candidate identified from their sdss optical and ukidss infrared photometry at least 10 new halo white dwarfs are also identified from their kinematics | [['a', '25', 'x', '100', 'degree', 'region', 'along', 'the', 'celestial', 'equator', 'stripe', '82', 'has', 'been', 'imaged', 'repeatedly', 'from', '1998', 'to', '2005', 'by', 'the', 'sloan', 'digital', 'sky', 'survey', 'a', 'new', 'catalogue', 'of', '4', 'million', 'lightmotion', 'curves', 'together', 'with', 'over', '200', 'derived', 'statistical', 'quantities', 'for', 'objects', 'in', 'stripe', '82', 'brighter', 'than', 'r215', 'has', 'been', 'constructed', 'by', 'combining', 'these', 'data', 'by', 'bramich', 'et', 'al', '2007', 'this', 'catalogue', 'is', 'at', 'present', 'the', 'deepest', 'catalogue', 'of', 'its', 'kind', 'extracting', 'the', '130000', 'objects', 'with', 'highest', 'signaltonoise', 'ratio', 'proper', 'motions', 'we', 'build', 'a', 'reduced', 'proper', 'motion', 'diagram', 'to', 'illustrate', 'the', 'scientific', 'promise', 'of', 'the', 'catalogue', 'in', 'this', 'diagram', 'disk', 'and', 'halo', 'subdwarfs', 'are', 'wellseparated', 'from', 'the', 'cool', 'white', 'dwarf', 'sequence', 'our', 'sample', 'of', '1049', 'cool', 'white', 'dwarf', 'candidates', 'includes', 'at', 'least', '8', 'and', 'possibly', '21', 'new', 'ultracool', 'hrich', 'white', 'dwarfs', 't_eff', '4000k', 'and', 'one', 'new', 'ultracool', 'herich', 'white', 'dwarf', 'candidate', 'identified', 'from', 'their', 'sdss', 'optical', 'and', 'ukidss', 'infrared', 'photometry', 'at', 'least', '10', 'new', 'halo', 'white', 'dwarfs', 'are', 'also', 'identified', 'from', 'their', 'kinematics']] | [-0.026099711683544715, 0.11231248753099907, -0.06367965728589674, 0.06374589804909192, -0.18749377117832985, -0.030631740645664495, 0.13340131882450362, 0.39739922737339284, -0.12919303247983363, -0.42810552396311813, 0.052331291271157834, -0.3851106180809438, -0.010685806589984767, 0.24028512240506755, -0.12335050699074622, -0.04326804303074335, 0.0889363459399447, -0.0969455132943084, -0.009872412753416361, -0.37263896563601473, 0.24739666572749253, 0.01820259736055826, 0.1302787013154579, -0.18847039050533346, 0.1006983176602062, -0.0826835720004832, -0.16890861321149803, -0.05337115875928004, -0.18564034938789542, -0.026679281946044506, 0.2634271079697078, 0.0939386088100103, 0.20269437308675928, -0.2293909002695195, -0.2098011847858022, 0.03906028468741059, 0.1781570732298239, 0.02739292287790194, -0.06099361164222767, -0.3298482280962805, 0.1378413637831705, -0.21256954489687882, -0.17194738917949995, 0.042126746670763215, 0.09915747195226708, 0.052497165220812325, -0.1606979103348638, 0.11713486144630801, 0.04875297959973445, 0.18498382499163243, -0.11183387089858582, -0.20559889335105785, -0.08669256291667386, 0.07380941722303538, -0.09360724521045596, 0.12799295384391415, 0.09989014461000519, -0.11149236259743481, -0.014912836830040849, 0.3614312811976827, -0.07860995445121151, 0.0849618066674405, 0.21508619873681553, -0.17003964486520556, -0.1489876039161506, 0.2071259043572709, 0.1452630127225747, 0.13738717154951813, -0.27020147695808056, 0.015488011440228126, -0.019579153871390878, 0.17508280030011608, 0.10098439246052648, 0.06209666762293725, 0.3666479275902597, 0.0990220884701646, 0.014049239345917069, 0.09044054886553346, -0.32935568382651204, -0.010673783870382666, -0.20818008397842144, -0.05557543178168466, -0.1502344179635856, 0.06748674894866204, -0.10821412926967108, -0.10885066342278861, 0.3441213301131672, 0.09855996530003301, 0.19339260442832643, 0.005984404688649924, 0.2924423694565165, -0.0038401143953329087, 0.10584787138675271, 0.13838212097932517, 0.28684949530175, 0.2099383757780654, 0.1110697342984367, -0.13297914790036441, -0.030307827443565902, 0.022186180999752406] |
709.1132 | Study of time lags in HETE-2 Gamma-Ray Bursts with redshift: search for
astrophysical effects and Quantum Gravity signature | The study of time lags between spikes in Gamma-Ray Bursts light curves in
different energy bands as a function of redshift may lead to the detection of
effects due to Quantum Gravity. We present an analysis of 15 Gamma-Ray Bursts
with measured redshift, detected by the HETE-2 mission between 2001 and 2006 in
order to measure time lags related to astrophysical effects and search for
Quantum Gravity signature in the framework of an extra-dimension string model.
The use of photon-tagged data allows us to consider various energy ranges.
Systematic effects due to selection and cuts are evaluated. No significant
Quantum Gravity effect is detected from the study of the maxima of the light
curves and a lower limit at 95% Confidence Level on the Quantum Gravity scale
parameter of 3.2x10**15 GeV is set.
| astro-ph | the study of time lags between spikes in gammaray bursts light curves in different energy bands as a function of redshift may lead to the detection of effects due to quantum gravity we present an analysis of 15 gammaray bursts with measured redshift detected by the hete2 mission between 2001 and 2006 in order to measure time lags related to astrophysical effects and search for quantum gravity signature in the framework of an extradimension string model the use of photontagged data allows us to consider various energy ranges systematic effects due to selection and cuts are evaluated no significant quantum gravity effect is detected from the study of the maxima of the light curves and a lower limit at 95 confidence level on the quantum gravity scale parameter of 32x1015 gev is set | [['the', 'study', 'of', 'time', 'lags', 'between', 'spikes', 'in', 'gammaray', 'bursts', 'light', 'curves', 'in', 'different', 'energy', 'bands', 'as', 'a', 'function', 'of', 'redshift', 'may', 'lead', 'to', 'the', 'detection', 'of', 'effects', 'due', 'to', 'quantum', 'gravity', 'we', 'present', 'an', 'analysis', 'of', '15', 'gammaray', 'bursts', 'with', 'measured', 'redshift', 'detected', 'by', 'the', 'hete2', 'mission', 'between', '2001', 'and', '2006', 'in', 'order', 'to', 'measure', 'time', 'lags', 'related', 'to', 'astrophysical', 'effects', 'and', 'search', 'for', 'quantum', 'gravity', 'signature', 'in', 'the', 'framework', 'of', 'an', 'extradimension', 'string', 'model', 'the', 'use', 'of', 'photontagged', 'data', 'allows', 'us', 'to', 'consider', 'various', 'energy', 'ranges', 'systematic', 'effects', 'due', 'to', 'selection', 'and', 'cuts', 'are', 'evaluated', 'no', 'significant', 'quantum', 'gravity', 'effect', 'is', 'detected', 'from', 'the', 'study', 'of', 'the', 'maxima', 'of', 'the', 'light', 'curves', 'and', 'a', 'lower', 'limit', 'at', '95', 'confidence', 'level', 'on', 'the', 'quantum', 'gravity', 'scale', 'parameter', 'of', '32x1015', 'gev', 'is', 'set']] | [-0.10769878248825218, 0.14815999475015842, -0.10246919290952836, 0.14470502393581255, -0.07015999847543285, -0.09685639566283277, 0.08292145258923428, 0.3531049082733013, -0.19388938377078652, -0.382028801592462, 0.04169641598304169, -0.3119959493475714, -0.048962956576636345, 0.2325769289375537, -0.03142478810905507, 0.04109094789336351, 0.02693874763578854, -0.04454608709607838, -0.0491938093008216, -0.21171548913557534, 0.28113338033047813, 0.14056137510201414, 0.2429640011678478, 0.05959413037833821, 0.08588672747966043, -0.029414349891753358, -0.0737900331397682, -0.022236239602507063, -0.1394132775974206, 0.046235513722587544, 0.25639522116574825, 0.09825250105297362, 0.2063202232397585, -0.37637354557007324, -0.2461763926002084, 0.14147369157184253, 0.07563944977432997, 0.07352345980082949, -0.01745660251419229, -0.3086264564331169, 0.026277959433200798, -0.15188097979570916, -0.10630944351820897, 0.004498616611465078, 0.04950181449848143, -0.028516930341015035, -0.19339412581316676, 0.10747785146249401, -0.013226120619837082, 0.05368692497193644, -0.0687399271096872, -0.04058675549105939, 0.007330654493257912, 0.06802328366250025, 0.10655408082917954, 0.04864287495751562, 0.10559445765278669, -0.1147462716749446, -0.15592025067995896, 0.41427481554759044, -0.10328556466441968, -0.09290474878666415, 0.17912295023614372, -0.1942303761995087, -0.13655242178378324, 0.14132703852374107, 0.24042670432986182, 0.09412030528906282, -0.15124566946531448, 0.0750263812422583, 0.07017273791963376, 0.20835789309278357, 0.06217347000457459, 0.09089209301182012, 0.26928799705241213, 0.11043114192469863, 0.029455013932998885, 0.12189174550991139, -0.2227083547834561, -0.05625984632889881, -0.33228154017618206, -0.10458011609135252, -0.12197798592123119, 0.04157563821839479, -0.11231702825744198, -0.1325156881092963, 0.4172941881190513, 0.14595616738414252, 0.20933480103055693, 0.0534856445649921, 0.24315927049963537, 0.1351601578892521, 0.05760176627364038, 0.06453462904072226, 0.31009978390736226, 0.12000995714422033, 0.06295368559023534, -0.21898138982942328, 0.03520629778998255, 0.013026628091183462] |
709.1133 | The Role of Solvent Fluctuations in Hydrophobic Assembly | We use a coarse grained solvent model to study the self assembly of two
nano-scale hydrophobic particles in water. We show how solvent degrees of
freedom are involved in the process. By using tools of transition path
sampling, we elucidate the reaction coordinates describing the assembly. In
accord with earlier expectations, we find that fluctuations of the
liquid-vapor-like interface surrounding the solutes are significant, in this
case leading to the formation of a vapor tunnel between the two solute
particles. This tunnel accelerates assembly. While considering this specific
model system, the approach we use illustrates a methodology that is broadly
applicable.
| cond-mat.stat-mech | we use a coarse grained solvent model to study the self assembly of two nanoscale hydrophobic particles in water we show how solvent degrees of freedom are involved in the process by using tools of transition path sampling we elucidate the reaction coordinates describing the assembly in accord with earlier expectations we find that fluctuations of the liquidvaporlike interface surrounding the solutes are significant in this case leading to the formation of a vapor tunnel between the two solute particles this tunnel accelerates assembly while considering this specific model system the approach we use illustrates a methodology that is broadly applicable | [['we', 'use', 'a', 'coarse', 'grained', 'solvent', 'model', 'to', 'study', 'the', 'self', 'assembly', 'of', 'two', 'nanoscale', 'hydrophobic', 'particles', 'in', 'water', 'we', 'show', 'how', 'solvent', 'degrees', 'of', 'freedom', 'are', 'involved', 'in', 'the', 'process', 'by', 'using', 'tools', 'of', 'transition', 'path', 'sampling', 'we', 'elucidate', 'the', 'reaction', 'coordinates', 'describing', 'the', 'assembly', 'in', 'accord', 'with', 'earlier', 'expectations', 'we', 'find', 'that', 'fluctuations', 'of', 'the', 'liquidvaporlike', 'interface', 'surrounding', 'the', 'solutes', 'are', 'significant', 'in', 'this', 'case', 'leading', 'to', 'the', 'formation', 'of', 'a', 'vapor', 'tunnel', 'between', 'the', 'two', 'solute', 'particles', 'this', 'tunnel', 'accelerates', 'assembly', 'while', 'considering', 'this', 'specific', 'model', 'system', 'the', 'approach', 'we', 'use', 'illustrates', 'a', 'methodology', 'that', 'is', 'broadly', 'applicable']] | [-0.12353051446682524, 0.16767080958545355, -0.0877911746066806, 0.043288802668786666, 0.010414978579184648, -0.10269680932754337, 0.018956380004137015, 0.39589121856606835, -0.24420351076336339, -0.3215044849819624, -0.0063162844277697035, -0.2515779719641893, -0.170325283323055, 0.10968184185739939, -0.015681723713653513, -0.026417609826617845, 0.0671688666645585, -0.07212632132860103, -0.009805369526286158, -0.18900690390497887, 0.27927575058921583, 0.08184440665138369, 0.25720202644346374, 0.08595298226959634, 0.10621769297960224, 0.0024269345045864286, -0.005022763565072034, 0.024183711018597724, -0.2091384042836184, 0.13783381425770977, 0.21679875736659632, 0.03398099555495647, 0.22749779266443584, -0.47211014174183114, -0.22689138223776723, 0.052273209417186384, 0.1359083601135281, 0.16642734880264073, -0.07786682924477033, -0.20767395960692647, 0.02043121367563853, -0.15926895297528937, -0.12714145585691722, -0.0352529305780288, -0.06279573763782934, 0.04695926675294056, -0.22473379651471825, 0.09498975032221267, 0.04891327026272469, 0.05105843762769179, -0.06101607061037333, -0.07920184743355517, -0.034659052530469574, 0.13228358243970145, 0.03563203450060671, -0.020632192852969123, 0.2485548644234417, -0.1229627071487911, -0.04813544119772787, 0.39983508204764656, -0.05221311402009191, -0.216494904042655, 0.2492749061306367, -0.17223395303924485, -0.1182163623161614, 0.16513869548124252, 0.14325084167735486, 0.10785572069390484, -0.20136366527306265, 0.06202652499928038, 0.004784332551430947, 0.17801621985289795, 0.05780715632280058, -0.05532367888948705, 0.22937083255597862, 0.2349253435305661, 0.033131480430215965, 0.18387743758756925, -0.062304780366692215, -0.17320131674630218, -0.2674979063080587, -0.22241197605986185, -0.153202707422805, -0.000603089729176447, -0.10829643882571323, -0.15912240985227694, 0.343195058424994, 0.19977513356448387, 0.18373506113259805, 0.02545648001337258, 0.27275249927240136, 0.02008704284187591, 0.04257766595847978, 0.008176347480552031, 0.23349443052222232, 0.11064136333505412, 0.12735783708014406, -0.25382616687888776, 0.08240518816470141, 0.05508820509704033] |
709.1134 | Almost solutions of equations in permutations | We will say that the permutations f_1,...,f_n is an e-solution of an equation
if the normalized Hamming distance between its l.h.p. and r.h.p. is less than
e. We give a sufficient conditions when near to an e-solution exists an exact
solution and some examples when there does not exist such a solution.
| math.GR | we will say that the permutations f_1f_n is an esolution of an equation if the normalized hamming distance between its lhp and rhp is less than e we give a sufficient conditions when near to an esolution exists an exact solution and some examples when there does not exist such a solution | [['we', 'will', 'say', 'that', 'the', 'permutations', 'f_1f_n', 'is', 'an', 'esolution', 'of', 'an', 'equation', 'if', 'the', 'normalized', 'hamming', 'distance', 'between', 'its', 'lhp', 'and', 'rhp', 'is', 'less', 'than', 'e', 'we', 'give', 'a', 'sufficient', 'conditions', 'when', 'near', 'to', 'an', 'esolution', 'exists', 'an', 'exact', 'solution', 'and', 'some', 'examples', 'when', 'there', 'does', 'not', 'exist', 'such', 'a', 'solution']] | [-0.16760234758616066, 0.09018668944582504, -0.09323200608532016, 0.07372178060736936, -0.07476484172093478, -0.1602245129806061, 0.004935241743134191, 0.39390326807132137, -0.293418120377912, -0.19667420577640699, 0.11526773527909356, -0.3443482369900896, -0.16163424570829824, 0.1984129728247913, -0.11872706572131182, -0.025288245838825017, 0.07545842961049996, 0.14235463926496988, -0.13354321118318835, -0.23570825727298284, 0.2876371832457013, 0.03459269807745631, 0.176604625039125, 0.09609540135492213, 0.12668919454042155, -0.04008998320652889, 0.08124241427643798, -0.0015477465035823674, -0.2228350727691577, 0.0061410786225818675, 0.2013217517389701, 0.20944898715242743, 0.3050669625831338, -0.3788917475523284, -0.0732568378578155, 0.2657765687550776, 0.14823938853358135, 0.0821147586684674, -0.05010443171844459, -0.21598140970588878, 0.14468321702084863, -0.10468415754775588, -0.14085252409299406, -0.056080406334681004, 0.11878747256615987, -0.0161689213799456, -0.3239200988945623, -0.01216579801761187, 0.09563073071722801, 0.04370398808700534, -0.056758593644749805, -0.09370905691041397, -0.03132413340230974, 0.08078784392273519, 0.021634138932523247, 0.07641774774170838, -0.022117176093161106, -0.11961515826316407, -0.06858148658648133, 0.3762147232997589, -0.009703288218868412, -0.28841461054980755, 0.16092288490528098, -0.11052919494865748, -0.07124300408535279, 0.09711853561636347, 0.05108021126272014, 0.15693733133733845, -0.1146733192307203, 0.10320471226945162, -0.12791942785742533, 0.22935087502432558, 0.10604292503558099, -0.0002667342867845526, 0.13268209472656822, 0.06844971202707921, 0.1941375554395983, 0.09705861369506098, -0.030181446166422505, -0.02528591239108489, -0.3520035635894881, -0.15540235886090578, -0.19338857790885064, 0.1109048450735617, -0.11920722357228022, -0.20561816722441179, 0.29844767107771564, 0.1063608429260337, 0.20261402433243347, 0.06130483963687976, 0.21238636883432405, 0.16612413876954144, 0.012114560652452592, 0.17668520089668724, 0.1688358239194853, 0.10636861884715752, -0.0028207353674448454, -0.15634243898519065, 0.04522738266342248, 0.08161069149187264] |
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