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709.1335 | Interference of Spontaneous Emission of Light from two Solid-State
Atomic Ensembles | We report an interference experiment of spontaneous emission of light from
two distant solid-state ensembles of atoms that are coherently excited by a
short laser pulse. The ensembles are Erbium ions doped into two LiNbO3 crystals
with channel waveguides, which are placed in the two arms of a Mach-Zehnder
interferometer. The light that is spontaneously emitted after the excitation
pulse shows first-order interference. By a strong collective enhancement of the
emission, the atoms behave as ideal two-level quantum systems and no which-path
information is left in the atomic ensembles after emission of a photon. This
results in a high fringe visibility of 95%, which implies that the observed
spontaneous emission is highly coherent.
| quant-ph | we report an interference experiment of spontaneous emission of light from two distant solidstate ensembles of atoms that are coherently excited by a short laser pulse the ensembles are erbium ions doped into two linbo3 crystals with channel waveguides which are placed in the two arms of a machzehnder interferometer the light that is spontaneously emitted after the excitation pulse shows firstorder interference by a strong collective enhancement of the emission the atoms behave as ideal twolevel quantum systems and no whichpath information is left in the atomic ensembles after emission of a photon this results in a high fringe visibility of 95 which implies that the observed spontaneous emission is highly coherent | [['we', 'report', 'an', 'interference', 'experiment', 'of', 'spontaneous', 'emission', 'of', 'light', 'from', 'two', 'distant', 'solidstate', 'ensembles', 'of', 'atoms', 'that', 'are', 'coherently', 'excited', 'by', 'a', 'short', 'laser', 'pulse', 'the', 'ensembles', 'are', 'erbium', 'ions', 'doped', 'into', 'two', 'linbo3', 'crystals', 'with', 'channel', 'waveguides', 'which', 'are', 'placed', 'in', 'the', 'two', 'arms', 'of', 'a', 'machzehnder', 'interferometer', 'the', 'light', 'that', 'is', 'spontaneously', 'emitted', 'after', 'the', 'excitation', 'pulse', 'shows', 'firstorder', 'interference', 'by', 'a', 'strong', 'collective', 'enhancement', 'of', 'the', 'emission', 'the', 'atoms', 'behave', 'as', 'ideal', 'twolevel', 'quantum', 'systems', 'and', 'no', 'whichpath', 'information', 'is', 'left', 'in', 'the', 'atomic', 'ensembles', 'after', 'emission', 'of', 'a', 'photon', 'this', 'results', 'in', 'a', 'high', 'fringe', 'visibility', 'of', '95', 'which', 'implies', 'that', 'the', 'observed', 'spontaneous', 'emission', 'is', 'highly', 'coherent']] | [-0.16541721926491082, 0.2910953267093437, -0.055016709120729854, 0.019184573616088673, 0.042707556673218454, -0.18650636369922916, 0.03686211614836568, 0.4894549073898687, -0.20412821194107553, -0.2567465544010686, -0.01720251089716083, -0.34870592126029387, -0.06067603745341169, 0.17350036479054695, 0.030031289109976683, 0.021535349425661945, 0.05456500575234866, -0.028971050701112347, -0.001179168773485364, -0.1356974687011072, 0.2679099382840888, 0.062123685899042255, 0.3288666681279387, 0.019622267854391737, 0.10748513497873745, -0.02108929612039201, 0.07873787403733065, -0.07697648414105704, -0.007157358467572192, 0.08217575460408641, 0.2229721474799171, 0.061911725389680504, 0.20534267253448477, -0.45873501561005164, -0.2042549726001061, 0.04936881806800323, 0.16085402316988684, 0.18100263719628276, -0.09478241084679236, -0.3578316065589939, -0.04914559695696607, -0.10649765912846539, -0.08331856569192841, 0.03824040897816947, -0.011248092212409308, 0.04978325790766858, -0.24487018710686373, 0.04452573531513325, 0.08802521530851985, 0.06451012842785732, 0.03471642353497775, -0.01594203004234396, -0.0005802955103428227, 0.022623289240507688, -0.05007449678450295, 0.0023298760828669223, 0.20352858330114884, -0.11034793183166303, -0.14446003919681616, 0.4022782587578141, -0.11451697132583147, -0.06914975980824206, 0.11768585106870984, -0.19175340563668747, -0.06310060439915685, 0.22858186958736815, 0.10981976742386422, 0.11718866635995827, -0.14028050367250644, -0.04166943546172347, -0.041672536831316165, 0.25618591010199643, 0.1451596071144187, 0.18193971772731768, 0.27021840026816435, 0.14671067373447977, 0.0020482285459220936, 0.20053029634610675, -0.1404096303647796, -0.08246220452340106, -0.26222756953366033, -0.12705093180962665, -0.19006860027279276, 0.07659144997514322, -0.02805120543052908, -0.11104306903774891, 0.38118138672388363, 0.08960705817536971, 0.1577388750990869, -0.07232428612640804, 0.3128525354009352, 0.10667845826344646, 0.027662801300793623, -0.015094047389611337, 0.3219310004363018, 0.1771424106915638, 0.04562364392955087, -0.27963849592467654, 0.0011452647437036564, -0.056185462976706964] |
709.1336 | X-ray active galactic nuclei in the core of the Perseus cluster | We present a study of the X-ray emission from the nuclei of galaxies observed
in the core of the Perseus cluster in a deep exposure with Chandra. Point
sources are found coincident with the nuclei of 13 early-type galaxies, as well
as the central galaxy NGC1275. This corresponds to all galaxies brighter than
M_B = -18 in the Chandra field. All of these sources have a steep power-law
spectral component and four have an additional thermal component. The
unabsorbed power-law luminosities in the 0.5-7.0 keV band range from
8.10^38-5.10^40 erg/s. We find no simple correlations between the K band
luminosity, or the FUV and NUV AB magnitudes of these galaxies and their X-ray
properties. We have estimated the black hole masses of the nuclei using the K
band M_BH-L_K relation and again find no correlation between black hole mass
and the X-ray luminosity. Bondi accretion onto the black holes in the galaxies
with mini-haloes should make them much more luminous than observed.
| astro-ph | we present a study of the xray emission from the nuclei of galaxies observed in the core of the perseus cluster in a deep exposure with chandra point sources are found coincident with the nuclei of 13 earlytype galaxies as well as the central galaxy ngc1275 this corresponds to all galaxies brighter than m_b 18 in the chandra field all of these sources have a steep powerlaw spectral component and four have an additional thermal component the unabsorbed powerlaw luminosities in the 0570 kev band range from 8103851040 ergs we find no simple correlations between the k band luminosity or the fuv and nuv ab magnitudes of these galaxies and their xray properties we have estimated the black hole masses of the nuclei using the k band m_bhl_k relation and again find no correlation between black hole mass and the xray luminosity bondi accretion onto the black holes in the galaxies with minihaloes should make them much more luminous than observed | [['we', 'present', 'a', 'study', 'of', 'the', 'xray', 'emission', 'from', 'the', 'nuclei', 'of', 'galaxies', 'observed', 'in', 'the', 'core', 'of', 'the', 'perseus', 'cluster', 'in', 'a', 'deep', 'exposure', 'with', 'chandra', 'point', 'sources', 'are', 'found', 'coincident', 'with', 'the', 'nuclei', 'of', '13', 'earlytype', 'galaxies', 'as', 'well', 'as', 'the', 'central', 'galaxy', 'ngc1275', 'this', 'corresponds', 'to', 'all', 'galaxies', 'brighter', 'than', 'm_b', '18', 'in', 'the', 'chandra', 'field', 'all', 'of', 'these', 'sources', 'have', 'a', 'steep', 'powerlaw', 'spectral', 'component', 'and', 'four', 'have', 'an', 'additional', 'thermal', 'component', 'the', 'unabsorbed', 'powerlaw', 'luminosities', 'in', 'the', '0570', 'kev', 'band', 'range', 'from', '8103851040', 'ergs', 'we', 'find', 'no', 'simple', 'correlations', 'between', 'the', 'k', 'band', 'luminosity', 'or', 'the', 'fuv', 'and', 'nuv', 'ab', 'magnitudes', 'of', 'these', 'galaxies', 'and', 'their', 'xray', 'properties', 'we', 'have', 'estimated', 'the', 'black', 'hole', 'masses', 'of', 'the', 'nuclei', 'using', 'the', 'k', 'band', 'm_bhl_k', 'relation', 'and', 'again', 'find', 'no', 'correlation', 'between', 'black', 'hole', 'mass', 'and', 'the', 'xray', 'luminosity', 'bondi', 'accretion', 'onto', 'the', 'black', 'holes', 'in', 'the', 'galaxies', 'with', 'minihaloes', 'should', 'make', 'them', 'much', 'more', 'luminous', 'than', 'observed']] | [-0.02227026697046141, 0.08843630357323662, -0.06486376395460756, 0.16768919512755442, -0.059943818472583524, -0.04809224116762385, 0.04792253360366039, 0.5079079278914621, -0.08368741669369943, -0.3707476325813423, 0.020277025683273404, -0.39372821048241835, 0.025222524268400368, 0.19531721634104898, 0.03433135276039442, -0.03353017132506712, -0.016529881385149166, -0.07672937925752697, -0.09740744114988162, -0.23906365930214055, 0.31739618921500146, 0.0595037769363335, 0.14690821185567468, -0.0507994343558877, 0.03629313981301099, -0.06813652462577857, -0.05427036291784929, -0.0328105581373726, -0.12345631013231927, 0.022689337918312295, 0.26007211993963886, 0.08777458796610048, 0.213810230523301, -0.35286176736531016, -0.20124818692745278, 0.09544577884177367, 0.20122262147553968, -0.023323717515376752, -0.056463025758242816, -0.24801525353518483, 0.04615848772989223, -0.22961870552796237, -0.1455951144789937, 0.09737229186736937, 0.06310310468162592, 0.02077897967120527, -0.15190533314591403, 0.19148728806736334, 0.01606554362583179, 0.054275981440507576, -0.15974996590682264, -0.10792915687644444, -0.09368595775105527, 0.037937630666419864, 0.07248216478224352, 0.07823538830146522, 0.2188334170840212, -0.1597953648086778, -0.04414228561045836, 0.38145193892513524, -0.005606481510561557, 0.0989813474314463, 0.21163532160128812, -0.23391314407916003, -0.15863943092653868, 0.16057853757933882, 0.11864636375410657, 0.10883465756914057, -0.1717294775207275, 0.016734472447757335, -0.025092769916456356, 0.2732012301865371, 0.0382792591000175, 0.11240856465892705, 0.3672472278136502, 0.0738166622816052, 0.03127352160814587, 0.12292391136171496, -0.2583030742615441, 0.03436415770190692, -0.23657675039421464, -0.06256154825641487, -0.12644154864287227, 0.1530205443759197, -0.18457890339677133, -0.12159622713569083, 0.3311743258510324, 0.06463487940816993, 0.2578486692095937, 0.08611542484781605, 0.26475831126599186, 0.11459174936010544, 0.1211129965644283, 0.17781554796453272, 0.37579759836208615, 0.17318872670473168, 0.08590146453184246, -0.23002876157128493, -0.02279994830579948, -0.027434376014232542] |
709.1337 | Phenomenology of Gamma-Ray Jets | We discuss some phenomenological aspects of $\gamma$-ray emitting jets. In
particular, we present calculations of the $\gamma$-sphere and $\pi$-sphere for
various target photon fields, and employ them to demonstrate how $\gamma$-ray
observations at very high energies can be used to constraint the Doppler factor
of the emitting plasma and the production of VHE neutrinos. We also consider
the implications of the rapid TeV variability observed in M87 and the TeV
blazars, and propose a model for the very rapid TeV flares observed with HESS
and MAGIC in some blazars,that accommodates the relatively small Doppler
factors inferred from radio observations. Finally, we briefly discuss the
prospects for detecting VHE neutrinos from relativistic jets.
| astro-ph | we discuss some phenomenological aspects of gammaray emitting jets in particular we present calculations of the gammasphere and pisphere for various target photon fields and employ them to demonstrate how gammaray observations at very high energies can be used to constraint the doppler factor of the emitting plasma and the production of vhe neutrinos we also consider the implications of the rapid tev variability observed in m87 and the tev blazars and propose a model for the very rapid tev flares observed with hess and magic in some blazarsthat accommodates the relatively small doppler factors inferred from radio observations finally we briefly discuss the prospects for detecting vhe neutrinos from relativistic jets | [['we', 'discuss', 'some', 'phenomenological', 'aspects', 'of', 'gammaray', 'emitting', 'jets', 'in', 'particular', 'we', 'present', 'calculations', 'of', 'the', 'gammasphere', 'and', 'pisphere', 'for', 'various', 'target', 'photon', 'fields', 'and', 'employ', 'them', 'to', 'demonstrate', 'how', 'gammaray', 'observations', 'at', 'very', 'high', 'energies', 'can', 'be', 'used', 'to', 'constraint', 'the', 'doppler', 'factor', 'of', 'the', 'emitting', 'plasma', 'and', 'the', 'production', 'of', 'vhe', 'neutrinos', 'we', 'also', 'consider', 'the', 'implications', 'of', 'the', 'rapid', 'tev', 'variability', 'observed', 'in', 'm87', 'and', 'the', 'tev', 'blazars', 'and', 'propose', 'a', 'model', 'for', 'the', 'very', 'rapid', 'tev', 'flares', 'observed', 'with', 'hess', 'and', 'magic', 'in', 'some', 'blazarsthat', 'accommodates', 'the', 'relatively', 'small', 'doppler', 'factors', 'inferred', 'from', 'radio', 'observations', 'finally', 'we', 'briefly', 'discuss', 'the', 'prospects', 'for', 'detecting', 'vhe', 'neutrinos', 'from', 'relativistic', 'jets']] | [-0.04883994588797742, 0.22807693645696747, -0.02325137052261694, 0.22533463155427438, -0.10064406775530767, -0.12477188482880593, 0.03529262911232019, 0.4605282981626012, -0.17891119854440066, -0.3640993574634194, 0.0183846056048589, -0.2746073604984717, -0.007459827614101497, 0.24028433514335615, 0.012432838187404824, 0.014323762939734893, 0.12059973082293503, -0.07573501120152121, -0.03451414873230864, -0.16121957187159833, 0.28907628092406823, 0.16725754169747234, 0.17321857680905273, 0.11045134851751341, 0.1171347518409179, -0.05763383873696016, -0.06557209324250421, -0.04748376987197182, -0.09376823575995248, 0.09283635284412992, 0.24973238042809748, 0.14274119026747278, 0.1450803364804332, -0.3863274699585004, -0.23560840519653126, 0.09120620359277712, 0.1307429645824331, 0.03700934838164936, -0.08728813576427373, -0.31906207860870794, 0.04257125112609091, -0.2262972598218105, -0.17825889331711964, 0.0188102862120352, -0.004194977451962504, 0.03891044988042929, -0.19189169095321135, 0.05354081024600997, -0.05904596978481012, 0.024628095975905043, -0.10761083846340294, -0.10071539537430825, 0.05059832660375502, 0.023987021242183718, 0.15357268767812374, -0.01256399777802554, 0.13754489687694746, -0.17181369052268564, -0.17498784918676724, 0.41910374990071764, -0.03679260342561809, -0.02901613698129288, 0.2106097897176038, -0.25325980212708765, -0.27693950006611306, 0.13728130953809756, 0.22302487319843337, 0.08115199095654217, -0.1424280350562185, 0.03508360656930811, 0.006008850317448378, 0.1531934547386217, 0.02408979405881837, 0.09667830864306201, 0.24481009945104068, 0.16447702222715385, -0.006814597039060159, 0.1402012409504757, -0.30199738729305947, 0.04778930072418668, -0.3511325565759431, -0.06075171765617349, -0.10123312781480226, 0.0998850581405515, -0.09627719762740361, -0.0571599993346767, 0.44302512354598467, 0.14267334896986458, 0.23492945064155554, 0.0018390204884450544, 0.28702709373425356, 0.08992349805987694, 0.016845016067170284, 0.1560879556123506, 0.38775471897891045, 0.13877011901614342, 0.14081251578913492, -0.1991264750800011, 0.009069052220068194, -0.024342612888325343] |
709.1338 | Spin-gap behaviour in the 2-leg spin-ladder BiCu2PO6 | We present magnetic suscceptibility and heat capacity data on a new S=1/2
two-leg spin ladder compound BiCu2PO6. From our susceptibility analysis, we
find that the leg coupling J1/k_B is ~ 80 K and the ratio of the rung to leg
coupling J2/J1 ~ 0.9. We present the magnetic contribution to the heat capacity
of a two-leg ladder. The spin-gap Delta/k_B =3 4 K obtained from the heat
capacity agrees very well with that obtained from the magnetic susceptibility.
Significant inter-ladder coupling is suggested from the susceptibility
analysis. The hopping integrals determined using Nth order muffin tin orbital
(NMTO) based downfolding method lead to ratios of various exchange couplings in
agreement with our experimental data. Based on our band structure analysis, we
find the inter-ladder coupling in the bc-plane J2 to be about 0.75J1 placing
the compound presumably close to the quantum critical limit.
| cond-mat.str-el | we present magnetic suscceptibility and heat capacity data on a new s12 twoleg spin ladder compound bicu2po6 from our susceptibility analysis we find that the leg coupling j1k_b is 80 k and the ratio of the rung to leg coupling j2j1 09 we present the magnetic contribution to the heat capacity of a twoleg ladder the spingap deltak_b 3 4 k obtained from the heat capacity agrees very well with that obtained from the magnetic susceptibility significant interladder coupling is suggested from the susceptibility analysis the hopping integrals determined using nth order muffin tin orbital nmto based downfolding method lead to ratios of various exchange couplings in agreement with our experimental data based on our band structure analysis we find the interladder coupling in the bcplane j2 to be about 075j1 placing the compound presumably close to the quantum critical limit | [['we', 'present', 'magnetic', 'suscceptibility', 'and', 'heat', 'capacity', 'data', 'on', 'a', 'new', 's12', 'twoleg', 'spin', 'ladder', 'compound', 'bicu2po6', 'from', 'our', 'susceptibility', 'analysis', 'we', 'find', 'that', 'the', 'leg', 'coupling', 'j1k_b', 'is', '80', 'k', 'and', 'the', 'ratio', 'of', 'the', 'rung', 'to', 'leg', 'coupling', 'j2j1', '09', 'we', 'present', 'the', 'magnetic', 'contribution', 'to', 'the', 'heat', 'capacity', 'of', 'a', 'twoleg', 'ladder', 'the', 'spingap', 'deltak_b', '3', '4', 'k', 'obtained', 'from', 'the', 'heat', 'capacity', 'agrees', 'very', 'well', 'with', 'that', 'obtained', 'from', 'the', 'magnetic', 'susceptibility', 'significant', 'interladder', 'coupling', 'is', 'suggested', 'from', 'the', 'susceptibility', 'analysis', 'the', 'hopping', 'integrals', 'determined', 'using', 'nth', 'order', 'muffin', 'tin', 'orbital', 'nmto', 'based', 'downfolding', 'method', 'lead', 'to', 'ratios', 'of', 'various', 'exchange', 'couplings', 'in', 'agreement', 'with', 'our', 'experimental', 'data', 'based', 'on', 'our', 'band', 'structure', 'analysis', 'we', 'find', 'the', 'interladder', 'coupling', 'in', 'the', 'bcplane', 'j2', 'to', 'be', 'about', '075j1', 'placing', 'the', 'compound', 'presumably', 'close', 'to', 'the', 'quantum', 'critical', 'limit']] | [-0.2108219427873205, 0.14498240636675147, 0.015285764216863807, 0.013913011881927758, -0.05866209532984573, -0.1292653017596382, 0.1424354642437285, 0.36906501162203326, -0.2231664573436306, -0.2914988566594927, 0.0364286808239674, -0.3840000691783169, -0.08365307498784007, 0.18545389058831, 0.1139416585345685, -0.01812536296168126, 0.01073754714815405, 0.06346465739340562, -0.09660774629657576, -0.18332161128932636, 0.2613880124965521, 0.05548344500804914, 0.2768858942478234, 0.1076102889129433, 0.03566767815567985, 0.02245556455243892, 0.11352795413425328, -0.007142106526652756, -0.18286864941425543, 0.08977513368902863, 0.20648830688214334, -0.1051344982503603, 0.10872314778743716, -0.3594327485332252, -0.16129770913107347, 0.0009200752955739913, 0.14178915955699925, 0.10440991974800178, -0.007963712646059044, -0.29667950285922573, -0.008133693820918384, -0.17868006190258093, -0.08908510387983119, -0.13754508215799063, -0.06785127106865031, -6.477420042822327e-05, -0.3095548369949582, 0.14995514742854604, 0.04848092201965577, 0.09878409922500883, -0.09748066306971284, -0.20295736703859724, -0.0570892486898431, 0.10036238423967059, 0.07237401079939867, 0.11658737150128877, 0.10180574292452008, -0.06100791062319489, -0.10545920990609928, 0.31777529608107347, -0.11534371022033789, -0.09777841777469039, 0.12875587009973283, -0.21184792131374497, -0.13201648897180954, 0.15615299100096783, 0.0736951335751708, 0.07418429630511589, -0.16217288123215953, 0.07510866347845455, 0.007532778963703068, 0.21571335688476329, -0.01140336448535917, 0.03034043887015761, 0.20179448853773269, 0.17581634620960424, 0.01896176969740486, 0.19403440334101923, -0.15680118161591067, -0.12253351925291876, -0.22714723639892062, -0.10971880600234304, -0.21555506683585735, 0.10138355924720889, -0.15325686589969098, -0.12972286212649467, 0.33597854998948024, 0.21236390451077317, 0.21604023707112757, 0.002843748471038281, 0.22987288557181973, 0.11893431996408702, 0.09923109618693411, 0.10187751728622918, 0.2680302318725465, 0.2195041835092116, 0.1384849121871715, -0.3081990576929588, 0.03681283372292376, 0.042093487405825566] |
709.1339 | Control of Quantum Systems Despite Feedback Delay | Feedback control (based on the quantum continuous measurement) of quantum
systems inevitably suffers from estimation delays. In this paper we give a
delay-dependent stability criterion for a wide class of nonlinear stochastic
systems including quantum spin systems. We utilize a semi-algebraic problem
approach to incorporate the structure of density matrices. To show the
effectiveness of the result, we derive a globally stabilizing control law for a
quantum spin-1/2 systems in the face of feedback delays.
| quant-ph | feedback control based on the quantum continuous measurement of quantum systems inevitably suffers from estimation delays in this paper we give a delaydependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems we utilize a semialgebraic problem approach to incorporate the structure of density matrices to show the effectiveness of the result we derive a globally stabilizing control law for a quantum spin12 systems in the face of feedback delays | [['feedback', 'control', 'based', 'on', 'the', 'quantum', 'continuous', 'measurement', 'of', 'quantum', 'systems', 'inevitably', 'suffers', 'from', 'estimation', 'delays', 'in', 'this', 'paper', 'we', 'give', 'a', 'delaydependent', 'stability', 'criterion', 'for', 'a', 'wide', 'class', 'of', 'nonlinear', 'stochastic', 'systems', 'including', 'quantum', 'spin', 'systems', 'we', 'utilize', 'a', 'semialgebraic', 'problem', 'approach', 'to', 'incorporate', 'the', 'structure', 'of', 'density', 'matrices', 'to', 'show', 'the', 'effectiveness', 'of', 'the', 'result', 'we', 'derive', 'a', 'globally', 'stabilizing', 'control', 'law', 'for', 'a', 'quantum', 'spin12', 'systems', 'in', 'the', 'face', 'of', 'feedback', 'delays']] | [-0.1868436224386096, 0.06344476087697937, -0.07438127909476558, 0.02492041778440277, -0.030652480088174342, -0.15523066414520145, 0.04925304750756671, 0.3171553108965357, -0.3016772437437127, -0.2626468462900569, 0.1155535757758965, -0.21790645079066356, -0.1953597381711006, 0.2403348293931534, -0.09728182752927145, 0.12127579977114995, 0.04739096328616142, -0.0018766263344635566, -0.09581256802504261, -0.2134427963057533, 0.3550404629980524, -0.006286552703628937, 0.26407779404272635, 0.025152763376633327, 0.1723266342902207, 0.045738327933164936, 0.008910983248303334, 0.01663303509665032, -0.11897410908093055, 0.11331929123494774, 0.25605427941928305, 0.11994953894987702, 0.31116196195594964, -0.40070150976379715, -0.26471146173154314, 0.10601647318030397, 0.0870850856412047, 0.20782420018066963, -0.1111023241483296, -0.2851706703503927, 0.07845021252830824, -0.20317494634228447, -0.10591362280150254, -0.07519686517616113, -0.03635639618461331, 0.013848844827783372, -0.30769971436277654, 0.09396427488575379, 0.08572325032825272, 0.042255022252599396, -0.08537106309706965, -0.02188024123509725, 0.057769326766331994, 0.1204305624589324, -0.0814413861806194, -0.05998837499103198, 0.1402714408375323, -0.13523762878961862, -0.1761153586829702, 0.3887209195519487, -0.022947301057477793, -0.23559014424681662, 0.17332236781405905, -0.08758915274093548, -0.16026963533833624, 0.09705577877660593, 0.2805855683609843, 0.13002407406350056, -0.15182842717894043, 0.09383071927043299, -0.013306143136384587, 0.20045451099673908, -0.039770215532432, 0.09278476680318515, 0.18100404339532059, 0.15995648091038067, 0.16180594091614087, 0.1750606756284833, -0.041536545582736534, -0.19011557765305043, -0.2771507802605629, -0.13780254282057286, -0.15743215036888916, 0.0892103676746289, -0.060185608261575305, -0.19670394414414963, 0.3839903636276722, 0.1679093903613587, 0.1850509806846579, 0.09772003614654144, 0.2986352522050341, 0.15679994988876084, 0.004936176737149556, 0.03503437150890629, 0.2199043096601963, 0.18127904883275428, 0.10784779598936439, -0.2856590769160539, 0.04335634930990637, 0.06423667391762138] |
709.134 | Measurement of B(Ds -> munu) | We present a measurement of the branching fraction $B(D_s^+\to\mu^+\nu_\mu)$
using a 548 fb$^{-1}$ data sample collected by the Belle experiment at the KEKB
$e^+e^-$ collider. The $D_s$ momentum is determined by reconstruction of the
system recoiling against $DK\gamma X$ in events of the type $e^+e^-\to D_s^\ast
DKX, D_s^\ast \to D_s\gamma$, where $X$ represents additional pions or photons
from fragmentation. The full reconstruction method provides high resolution in
the neutrino momentum and thus good background separation, equivalent to that
reached by experiments at the tau-charm factories. We obtain the branching
fraction $B(D_s^+\to\mu^+\nu_\mu) = (6.44 \pm 0.76({\rm stat}) \pm 0.57({\rm
syst})) \cdot 10^{-3}$, implying a $D_s$ decay constant of $f_{D_s} = (275 \pm
16({\rm stat}) \pm 12({\rm syst}))$ MeV.
| hep-ex | we present a measurement of the branching fraction bd_stomunu_mu using a 548 fb1 data sample collected by the belle experiment at the kekb ee collider the d_s momentum is determined by reconstruction of the system recoiling against dkgamma x in events of the type eeto d_sast dkx d_sast to d_sgamma where x represents additional pions or photons from fragmentation the full reconstruction method provides high resolution in the neutrino momentum and thus good background separation equivalent to that reached by experiments at the taucharm factories we obtain the branching fraction bd_stomunu_mu 644 pm 076rm stat pm 057rm syst cdot 103 implying a d_s decay constant of f_d_s 275 pm 16rm stat pm 12rm syst mev | [['we', 'present', 'a', 'measurement', 'of', 'the', 'branching', 'fraction', 'bd_stomunu_mu', 'using', 'a', '548', 'fb1', 'data', 'sample', 'collected', 'by', 'the', 'belle', 'experiment', 'at', 'the', 'kekb', 'ee', 'collider', 'the', 'd_s', 'momentum', 'is', 'determined', 'by', 'reconstruction', 'of', 'the', 'system', 'recoiling', 'against', 'dkgamma', 'x', 'in', 'events', 'of', 'the', 'type', 'eeto', 'd_sast', 'dkx', 'd_sast', 'to', 'd_sgamma', 'where', 'x', 'represents', 'additional', 'pions', 'or', 'photons', 'from', 'fragmentation', 'the', 'full', 'reconstruction', 'method', 'provides', 'high', 'resolution', 'in', 'the', 'neutrino', 'momentum', 'and', 'thus', 'good', 'background', 'separation', 'equivalent', 'to', 'that', 'reached', 'by', 'experiments', 'at', 'the', 'taucharm', 'factories', 'we', 'obtain', 'the', 'branching', 'fraction', 'bd_stomunu_mu', '644', 'pm', '076rm', 'stat', 'pm', '057rm', 'syst', 'cdot', '103', 'implying', 'a', 'd_s', 'decay', 'constant', 'of', 'f_d_s', '275', 'pm', '16rm', 'stat', 'pm', '12rm', 'syst', 'mev']] | [-0.09287396994186566, 0.1862864518114789, -0.06113107217877934, 0.057709128846710714, 0.024759833405418746, -0.12492982442490756, 0.10362814960535616, 0.29263844845647163, -0.14364789651854978, -0.3322671901476993, -0.04097936430268667, -0.43106694812463087, 0.1360494445734234, 0.15046836313664574, 0.03871970690617507, 0.09437701843932948, 0.15114271137863397, -0.05993713019204072, -0.06257556193423543, -0.16795754087242212, 0.13091860284012827, 0.11636705468832091, 0.2529860962362198, 0.06851846853863787, 0.09816726975629783, 0.005782121220942248, -0.04202002313580703, -0.12948422284627503, -0.21343649707725323, 0.04265202806881544, 0.22400994132145902, 0.10366344566202977, 0.10784171812913634, -0.22912413442304982, 0.03469382801347158, 0.1668394258415157, 0.18252188944342462, -0.02254656055645848, 0.014989388718227432, -0.40888345031575724, 0.18663964429870247, -0.19666934116447174, -0.08188846612941812, 0.012037926372563974, 0.07428419117561795, -0.13145039970563216, -0.3598703980361196, 0.22130586264697327, -0.11200506521642885, 0.04009079505604776, -0.019176138505678286, -0.29591127363435754, -0.03898005357689478, -0.07176979197062214, 0.03133104332003065, 0.19159917667169463, 0.17716017318254507, -0.06527343449098143, -0.16504975582091985, 0.3813741261139512, -0.09647860453022242, -0.12071125708515121, 0.060600888970392675, -0.24829932740381497, -0.11620331427759745, 0.25469222820617937, 0.23325688933360983, 0.07336145234717564, -0.19572861678051678, 0.09101224003137429, -0.020437124255113303, 0.25902154407125305, 0.09007917163597251, 0.042004754415459256, 0.17156945161352102, 0.20573014092885636, -0.014906201367689805, -0.0019573127025399695, -0.14579355107535694, 0.016121647699566727, -0.40350729854438794, -0.09797468901696531, -0.057372352701019154, 0.2218089382248846, -0.050559393798969475, 0.014596046680923213, 0.2643268660261211, 0.048158060297877954, 0.33579909426414156, 0.0031275717583908276, 0.2646514595316892, 0.046641778469678354, -0.004401667423239401, 0.08862904134796488, 0.3185943989591165, 0.2135724161137742, 0.1728544771163301, -0.28199425091839986, 0.04018288326280361, 0.016080221275544978] |
709.1341 | Coincidence rotations of the root lattice $A_4$ | The coincidence site lattices of the root lattice $A_4$ are considered, and
the statistics of the corresponding coincidence rotations according to their
indices is expressed in terms of a Dirichlet series generating function. This
is possible via an embedding of $A_4$ into the icosian ring with its rich
arithmetic structure, which recently (arXiv:math.MG/0702448) led to the
classification of the similar sublattices of $A_4$.
| math.MG math.CO | the coincidence site lattices of the root lattice a_4 are considered and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a dirichlet series generating function this is possible via an embedding of a_4 into the icosian ring with its rich arithmetic structure which recently arxivmathmg0702448 led to the classification of the similar sublattices of a_4 | [['the', 'coincidence', 'site', 'lattices', 'of', 'the', 'root', 'lattice', 'a_4', 'are', 'considered', 'and', 'the', 'statistics', 'of', 'the', 'corresponding', 'coincidence', 'rotations', 'according', 'to', 'their', 'indices', 'is', 'expressed', 'in', 'terms', 'of', 'a', 'dirichlet', 'series', 'generating', 'function', 'this', 'is', 'possible', 'via', 'an', 'embedding', 'of', 'a_4', 'into', 'the', 'icosian', 'ring', 'with', 'its', 'rich', 'arithmetic', 'structure', 'which', 'recently', 'arxivmathmg0702448', 'led', 'to', 'the', 'classification', 'of', 'the', 'similar', 'sublattices', 'of', 'a_4']] | [-0.1203660526643357, 0.10694591788177926, -0.06876890721069949, 0.08282049443955804, -0.08582970661471688, -0.08637932559565431, 0.012698904340786318, 0.3871636084851719, -0.3206985746960967, -0.24273111102651926, 0.11027427111384308, -0.25596991055194407, -0.10028205914122443, 0.11597201055302585, -0.036602929226994034, 0.01693544030516228, -0.020658287700385816, 0.09962341902146657, -0.09902676717742466, -0.30710212896472866, 0.2864665804100373, 0.04218695906081026, 0.2850123965819817, -0.011214568069384943, 0.1176124477548705, -0.0020124048460274935, -0.007366517648821877, -0.06212332124754715, -0.10761741469163567, 0.19093303814259988, 0.17161885126974555, 0.06129726651124656, 0.15559350298492297, -0.38103555467340255, -0.14075578729652108, 0.128751341974543, 0.1456259801428044, 0.05838352544496076, -0.0297279704452282, -0.29196638217376125, 0.07248802944987771, -0.17472233893650194, -0.11129721851959344, -0.06237608164308533, 0.016055606966537815, 0.05129212605383908, -0.2663728951658648, 0.06950870145116031, 0.05548393855532331, 0.09090050592297508, -0.046234187589312394, -0.13425766253062793, -0.01110798955684708, 0.11870688523706649, 0.0905774157238944, 0.01753451114129876, 0.022011965731038682, -0.11226519609936664, -0.15608743949222467, 0.4665159334939334, 0.007709171337586257, -0.1876158967854515, 0.13776956564716755, -0.14389743639396563, -0.13368773358994193, 0.12063590335028787, 0.10822674034974508, 0.049611906085403695, -0.09874445973658905, 0.12357854159575166, -0.09645062507761101, 0.14035692714875744, 0.11977438784144338, 0.00014035890419637003, 0.21444779134265357, 0.11713049606600355, 0.032857669119802, 0.1610233287116693, -0.037167058228665305, -0.07757934940051317, -0.32087413329751263, -0.14377144590440777, -0.2018314218148589, 0.07453190526294132, -0.12463271375271424, -0.208009772002697, 0.4762108809945564, 0.0328431477574932, 0.2510391731085556, 0.0013977486148266302, 0.1757601443377714, 0.13701288950359147, 0.12142986950329354, -0.06113870744217908, 0.10831102847512211, 0.16176398689182656, -0.0019522853075496613, -0.23400774821563955, 0.01019505507898547, 0.13565860580532782] |
709.1342 | Electro-optic control of atom-light interactions using Rydberg
dark-state polaritons | We demonstrate a multiphoton Rydberg dark resonance where a Lambda-system is
coupled to a Rydberg state. This N-type level scheme combines the ability to
slow and store light pulses associated with long lived ground state
superpositions, with the strongly interacting character of Rydberg states. For
the nd_{5/2} Rydberg state in 87Rb (with n=26 or 44) and a beam size of 1 mm we
observe a resonance linewidth of less than 100 kHz in a room temperature atomic
ensemble limited by transit-time broadening. The resonance is switchable with
an electric field of order 1 V/cm. We show that, even when photons with
different wavevectors are involved, the resonance can be Doppler-free.
Applications in electro-optic switching and photonic phase gates are discussed.
| quant-ph | we demonstrate a multiphoton rydberg dark resonance where a lambdasystem is coupled to a rydberg state this ntype level scheme combines the ability to slow and store light pulses associated with long lived ground state superpositions with the strongly interacting character of rydberg states for the nd_52 rydberg state in 87rb with n26 or 44 and a beam size of 1 mm we observe a resonance linewidth of less than 100 khz in a room temperature atomic ensemble limited by transittime broadening the resonance is switchable with an electric field of order 1 vcm we show that even when photons with different wavevectors are involved the resonance can be dopplerfree applications in electrooptic switching and photonic phase gates are discussed | [['we', 'demonstrate', 'a', 'multiphoton', 'rydberg', 'dark', 'resonance', 'where', 'a', 'lambdasystem', 'is', 'coupled', 'to', 'a', 'rydberg', 'state', 'this', 'ntype', 'level', 'scheme', 'combines', 'the', 'ability', 'to', 'slow', 'and', 'store', 'light', 'pulses', 'associated', 'with', 'long', 'lived', 'ground', 'state', 'superpositions', 'with', 'the', 'strongly', 'interacting', 'character', 'of', 'rydberg', 'states', 'for', 'the', 'nd_52', 'rydberg', 'state', 'in', '87rb', 'with', 'n26', 'or', '44', 'and', 'a', 'beam', 'size', 'of', '1', 'mm', 'we', 'observe', 'a', 'resonance', 'linewidth', 'of', 'less', 'than', '100', 'khz', 'in', 'a', 'room', 'temperature', 'atomic', 'ensemble', 'limited', 'by', 'transittime', 'broadening', 'the', 'resonance', 'is', 'switchable', 'with', 'an', 'electric', 'field', 'of', 'order', '1', 'vcm', 'we', 'show', 'that', 'even', 'when', 'photons', 'with', 'different', 'wavevectors', 'are', 'involved', 'the', 'resonance', 'can', 'be', 'dopplerfree', 'applications', 'in', 'electrooptic', 'switching', 'and', 'photonic', 'phase', 'gates', 'are', 'discussed']] | [-0.14149295992478983, 0.30404471760181573, 0.0008012619451619685, -0.008516751244314946, 0.010300385629913459, -0.19650784369635707, 0.05549051137447047, 0.467720988431635, -0.21248109020137537, -0.29913890052897235, 0.004260807644459419, -0.27912364590447397, -0.02133970701834187, 0.19222163784434088, 0.037681168566147484, 0.043713898949014646, 0.060846034266675515, 0.010146346137238046, 0.012548301520291716, -0.14223597280991573, 0.25439687227287017, 0.016190073743928224, 0.2795338910771534, 0.05145612276392057, 0.11662178373662754, -0.034977024549152705, 0.15689894928849146, -0.07896577199183714, -0.06131463650605535, 0.10069557303965364, 0.27819375703111293, -0.013293877073253194, 0.2552623996142453, -0.4340105026805153, -0.17186508973657813, 0.0624395494776157, 0.1535584291210398, 0.21956521941659352, -0.040729356636681285, -0.3561229703268812, 0.020165520910328874, -0.15201308177007983, -0.11068741894559934, -0.1166797552141361, 0.0023036084482252286, 0.03512529441698765, -0.28791510763888556, 0.05848445567050173, 0.043078840110683816, 0.08959803186201801, -0.0556456721931075, -0.08992496236460283, 0.04092960994118281, -0.022238393382819292, -0.07170264867212002, 0.025006662362769324, 0.20667937143783396, -0.12906502486536434, -0.14235101415154836, 0.3408772422155986, -0.1214102805772806, -0.09200035190442576, 0.17953033473556085, -0.20119914692671348, -0.0007383588779096802, 0.21291006497497922, 0.12296448716127391, 0.11002204394123206, -0.07035333435305802, 0.027586717364708118, 0.038043350578906635, 0.2986862307356205, 0.1320031441670532, 0.1383758028309482, 0.19865298281268526, 0.17563691468482526, 0.041308798873797056, 0.15685982718035424, -0.15223406916920795, -0.06845060487588246, -0.21849173202645034, -0.1526823280932149, -0.19602360584152242, 0.09925896188554664, -0.01760898193618535, -0.09954456309011826, 0.4156250833757743, 0.12050809620607955, 0.2044494402129203, -0.06194599206598165, 0.3023803885094821, 0.14102921728044748, 0.04258072715989935, 0.030767121448297984, 0.26067972380745535, 0.19594291767377095, 0.058635305787902325, -0.2911530166786785, -0.021482003641237195, -0.09487651214391614] |
709.1343 | Observation of an in-plane magnetic-field-driven phase transition in a
quantum Hall system with SU(4) symmetry | In condensed matter physics, the study of electronic states with SU(N)
symmetry has attracted considerable and growing attention in recent years, as
systems with such a symmetry can often have a spontaneous symmetry-breaking
effect giving rise to a novel ground state. For example, pseudospin quantum
Hall ferromagnet of broken SU(2) symmetry has been realized by bringing two
Landau levels close to degeneracy in a bilayer quantum Hall system. In the past
several years, the exploration of collective states in other multi-component
quantum Hall systems has emerged. Here we show the conventional pseudospin
quantum Hall ferromagnetic states with broken SU(2) symmetry collapsed rapidly
into an unexpected state with broken SU(4) symmetry, by in-plane magnetic field
in a two-subband GaAs/AlGaAs two-dimensional electron system at filling factor
around $\nu=4$. Within a narrow tilting range angle of 0.5 degrees, the
activation energy increases as much as 12 K. While the origin of this puzzling
observation remains to be exploited, we discuss the possibility of a
long-sought pairing state of electrons with a four-fold degeneracy.
| cond-mat.mes-hall cond-mat.str-el | in condensed matter physics the study of electronic states with sun symmetry has attracted considerable and growing attention in recent years as systems with such a symmetry can often have a spontaneous symmetrybreaking effect giving rise to a novel ground state for example pseudospin quantum hall ferromagnet of broken su2 symmetry has been realized by bringing two landau levels close to degeneracy in a bilayer quantum hall system in the past several years the exploration of collective states in other multicomponent quantum hall systems has emerged here we show the conventional pseudospin quantum hall ferromagnetic states with broken su2 symmetry collapsed rapidly into an unexpected state with broken su4 symmetry by inplane magnetic field in a twosubband gaasalgaas twodimensional electron system at filling factor around nu4 within a narrow tilting range angle of 05 degrees the activation energy increases as much as 12 k while the origin of this puzzling observation remains to be exploited we discuss the possibility of a longsought pairing state of electrons with a fourfold degeneracy | [['in', 'condensed', 'matter', 'physics', 'the', 'study', 'of', 'electronic', 'states', 'with', 'sun', 'symmetry', 'has', 'attracted', 'considerable', 'and', 'growing', 'attention', 'in', 'recent', 'years', 'as', 'systems', 'with', 'such', 'a', 'symmetry', 'can', 'often', 'have', 'a', 'spontaneous', 'symmetrybreaking', 'effect', 'giving', 'rise', 'to', 'a', 'novel', 'ground', 'state', 'for', 'example', 'pseudospin', 'quantum', 'hall', 'ferromagnet', 'of', 'broken', 'su2', 'symmetry', 'has', 'been', 'realized', 'by', 'bringing', 'two', 'landau', 'levels', 'close', 'to', 'degeneracy', 'in', 'a', 'bilayer', 'quantum', 'hall', 'system', 'in', 'the', 'past', 'several', 'years', 'the', 'exploration', 'of', 'collective', 'states', 'in', 'other', 'multicomponent', 'quantum', 'hall', 'systems', 'has', 'emerged', 'here', 'we', 'show', 'the', 'conventional', 'pseudospin', 'quantum', 'hall', 'ferromagnetic', 'states', 'with', 'broken', 'su2', 'symmetry', 'collapsed', 'rapidly', 'into', 'an', 'unexpected', 'state', 'with', 'broken', 'su4', 'symmetry', 'by', 'inplane', 'magnetic', 'field', 'in', 'a', 'twosubband', 'gaasalgaas', 'twodimensional', 'electron', 'system', 'at', 'filling', 'factor', 'around', 'nu4', 'within', 'a', 'narrow', 'tilting', 'range', 'angle', 'of', '05', 'degrees', 'the', 'activation', 'energy', 'increases', 'as', 'much', 'as', '12', 'k', 'while', 'the', 'origin', 'of', 'this', 'puzzling', 'observation', 'remains', 'to', 'be', 'exploited', 'we', 'discuss', 'the', 'possibility', 'of', 'a', 'longsought', 'pairing', 'state', 'of', 'electrons', 'with', 'a', 'fourfold', 'degeneracy']] | [-0.20049762257977444, 0.2652338928564431, -0.05096793786925606, 0.015769045818460118, -0.04772551348706817, -0.18657670926357456, 0.03502564084140913, 0.35216642900982953, -0.25184208298759425, -0.33356395888635343, 0.023839219169937732, -0.26895733837257413, -0.10781748456031304, 0.12841681634034852, 0.019303982856902567, 0.04760765201165615, -0.05651364283334902, -0.010779064142479911, -0.12800143655827817, -0.187572882455938, 0.2673635971122969, 0.0020511210471501245, 0.31813929150812326, 0.0540718278820243, 0.08026101784027347, -0.0038192191229694905, 0.1540926279828829, -0.0034480643474072326, -0.1058804005247486, 0.03441519385018824, 0.25992566022254965, -0.07764088537968586, 0.23647230060442406, -0.43869498757755054, -0.23115868195069625, 0.03983144655101248, 0.1758801146355622, 0.20811140684493104, -0.11187420151442946, -0.34892200445482396, 0.01209448923028129, -0.23052048158167643, -0.17024926936993484, -0.1092237638295902, 0.019538240094997866, -0.13129894865902744, -0.164065592560698, 0.1057548940209124, 0.06272039803374997, 0.12477472446420614, -0.04477069670717944, -0.131488418503774, -0.08443312055212171, 0.05408316158470424, 0.09018618624849135, 0.06606406429919469, 0.11639751791200766, -0.19091071949839233, -0.196769591094926, 0.39476282486472936, -0.01042565993471619, -0.0961894075920367, 0.16546713214038927, -0.17940501523313715, -0.13743647215699586, 0.16155944831998031, 0.13178733420174787, 0.030870643469011957, -0.06700832749552586, 0.11334641663775341, -0.07019609977244673, 0.15785972653230762, 0.009272210562930388, 0.10764130312292015, 0.31822977779871403, 0.18086596400792, 0.07238922187209348, 0.15653908197624225, -0.1029058711425237, -0.14012750382672118, -0.20859198104590176, -0.16822797581861618, -0.20940382761387702, 0.1557777700589641, 0.016259639272004064, -0.11569247002549031, 0.4307873546543038, 0.08919811914127102, 0.21272432311054537, -0.09444948739153058, 0.21959615122965154, 0.1220223275704912, 0.0882103545289925, 0.013571918700301253, 0.25698666896890193, 0.17958853400230188, 0.09023202226688976, -0.27105038124410546, -0.004895523570560138, -0.006154589272816391] |
709.1344 | 3-5 micron spectroscopy of obscured AGNs in ULIRGs | We present the results of infrared L-band (3-4 micron) and M-band (4-5
micron) VLT-ISAAC spectroscopy of five bright Ultraluminous InfraRed Galaxies
(ULIRGs) hosting an AGN. From our analysis we distinguish two types of sources:
ULIRGs where the AGN is unobscured (with a flat continuum and no absorption
features at 3.4 micron and 4.6 micron), and those with highly obscured AGNs
(with a steep, reddened continuum and absorption features due to hydrocarbons
and CO). Starburst activity is also present in all of the sources as inferred
from the 3.3 micron PAH emission line. A strong correlation is found between
continuum slope and CO optical depth, which suggests that deep carbon monoxide
absorption is a common feature of highly obscured ULIRG AGN. Finally we show
that the AGN dominates the 3-4 micron emission, even if its contribution to the
bolometric luminosity is small.
| astro-ph | we present the results of infrared lband 34 micron and mband 45 micron vltisaac spectroscopy of five bright ultraluminous infrared galaxies ulirgs hosting an agn from our analysis we distinguish two types of sources ulirgs where the agn is unobscured with a flat continuum and no absorption features at 34 micron and 46 micron and those with highly obscured agns with a steep reddened continuum and absorption features due to hydrocarbons and co starburst activity is also present in all of the sources as inferred from the 33 micron pah emission line a strong correlation is found between continuum slope and co optical depth which suggests that deep carbon monoxide absorption is a common feature of highly obscured ulirg agn finally we show that the agn dominates the 34 micron emission even if its contribution to the bolometric luminosity is small | [['we', 'present', 'the', 'results', 'of', 'infrared', 'lband', '34', 'micron', 'and', 'mband', '45', 'micron', 'vltisaac', 'spectroscopy', 'of', 'five', 'bright', 'ultraluminous', 'infrared', 'galaxies', 'ulirgs', 'hosting', 'an', 'agn', 'from', 'our', 'analysis', 'we', 'distinguish', 'two', 'types', 'of', 'sources', 'ulirgs', 'where', 'the', 'agn', 'is', 'unobscured', 'with', 'a', 'flat', 'continuum', 'and', 'no', 'absorption', 'features', 'at', '34', 'micron', 'and', '46', 'micron', 'and', 'those', 'with', 'highly', 'obscured', 'agns', 'with', 'a', 'steep', 'reddened', 'continuum', 'and', 'absorption', 'features', 'due', 'to', 'hydrocarbons', 'and', 'co', 'starburst', 'activity', 'is', 'also', 'present', 'in', 'all', 'of', 'the', 'sources', 'as', 'inferred', 'from', 'the', '33', 'micron', 'pah', 'emission', 'line', 'a', 'strong', 'correlation', 'is', 'found', 'between', 'continuum', 'slope', 'and', 'co', 'optical', 'depth', 'which', 'suggests', 'that', 'deep', 'carbon', 'monoxide', 'absorption', 'is', 'a', 'common', 'feature', 'of', 'highly', 'obscured', 'ulirg', 'agn', 'finally', 'we', 'show', 'that', 'the', 'agn', 'dominates', 'the', '34', 'micron', 'emission', 'even', 'if', 'its', 'contribution', 'to', 'the', 'bolometric', 'luminosity', 'is', 'small']] | [0.03279332644207046, 0.03471973718316146, -0.018543484780924224, 0.09269620593928679, -0.04568240681253638, -0.12635809381274468, 0.05684603190260893, 0.5475105927292759, -0.10481244078606156, -0.2890493048194809, 0.030542193019452196, -0.3784167706860718, -0.03897044168956948, 0.12478141627086207, -0.010341810797347773, -0.09943442897258511, -0.048561695500785575, -0.26495419222042493, 0.043539032787546936, -0.2506829243143426, 0.2842468404647042, 0.0722591111216453, 0.18415730446081688, 0.0237587950198997, 0.07049290387699685, -0.15963399935024955, -0.13866604570669275, -0.04643622367041753, -0.08961530913260736, 0.08475208480624442, 0.32460701544868187, 0.05442125762066414, 0.18014068977828038, -0.272872185247871, -0.1907588294938418, 0.0786821492824824, 0.15875710586766242, 0.021372055478810156, -0.009169063573795641, -0.23792106006955002, 0.03284065663510709, -0.12031476479766771, -0.14619479360263662, 0.09284912490992682, 0.08497372065201825, 0.024721287877847116, -0.21266538930453313, 0.1445817808562424, 0.01685946870344222, 0.14751834674995948, -0.17112013048753275, -0.11828913114773414, -0.13630046496161174, 0.009171055430044414, -0.0343259037051231, 0.08200502652238975, 0.25846038724077824, -0.1749009934802216, -0.05846996522460674, 0.3931716731914603, -0.10494001095673625, 0.13399404708084697, 0.3093709288832091, -0.19102227818452033, -0.19730807057456345, 0.2934923525107034, 0.07908952056846404, 0.12724889704878342, -0.1420018854055633, -0.037689754210580934, -0.04415422981829508, 0.3508562085529168, -0.01148305679440287, 0.18506596416007093, 0.331701605626983, 0.09051368461512294, 0.01260366606532682, 0.1574493543036837, -0.34178393184874495, 0.05744015792028067, -0.2733317696363896, -0.07323001819193786, -0.1306858841281926, 0.18510548056496295, -0.16495608065059783, -0.10413576984127441, 0.30553236574178944, 0.07875464888659457, 0.2226636354491141, 0.07235438364858456, 0.32765268668175695, 0.0787197386888054, 0.1394669963079934, 0.1502459928135764, 0.36726323761547924, 0.1328221483631654, 0.08522116958662365, -0.22334207042784213, 0.003135686803027882, -0.016830468619678247] |
709.1345 | The Gonihedric Ising Model and Glassiness | The Gonihedric 3D Ising model is a lattice spin model in which planar Peierls
boundaries between + and - spins can be created at zero energy cost. Instead of
weighting the area of Peierls boundaries as the case for the usual 3D Ising
model with nearest neighbour interactions, the edges, or "bends" in an
interface are weighted, a concept which is related to the intrinsic curvature
of the boundaries in the continuum.
In these notes we follow a roughly chronological order by first reviewing the
background to the formulation of the model, before moving on to the elucidation
of the equilibrium phase diagram by various means and then to investigation of
the non-equilibrium, glassy behaviour of the model.
| cond-mat.stat-mech | the gonihedric 3d ising model is a lattice spin model in which planar peierls boundaries between and spins can be created at zero energy cost instead of weighting the area of peierls boundaries as the case for the usual 3d ising model with nearest neighbour interactions the edges or bends in an interface are weighted a concept which is related to the intrinsic curvature of the boundaries in the continuum in these notes we follow a roughly chronological order by first reviewing the background to the formulation of the model before moving on to the elucidation of the equilibrium phase diagram by various means and then to investigation of the nonequilibrium glassy behaviour of the model | [['the', 'gonihedric', '3d', 'ising', 'model', 'is', 'a', 'lattice', 'spin', 'model', 'in', 'which', 'planar', 'peierls', 'boundaries', 'between', 'and', 'spins', 'can', 'be', 'created', 'at', 'zero', 'energy', 'cost', 'instead', 'of', 'weighting', 'the', 'area', 'of', 'peierls', 'boundaries', 'as', 'the', 'case', 'for', 'the', 'usual', '3d', 'ising', 'model', 'with', 'nearest', 'neighbour', 'interactions', 'the', 'edges', 'or', 'bends', 'in', 'an', 'interface', 'are', 'weighted', 'a', 'concept', 'which', 'is', 'related', 'to', 'the', 'intrinsic', 'curvature', 'of', 'the', 'boundaries', 'in', 'the', 'continuum', 'in', 'these', 'notes', 'we', 'follow', 'a', 'roughly', 'chronological', 'order', 'by', 'first', 'reviewing', 'the', 'background', 'to', 'the', 'formulation', 'of', 'the', 'model', 'before', 'moving', 'on', 'to', 'the', 'elucidation', 'of', 'the', 'equilibrium', 'phase', 'diagram', 'by', 'various', 'means', 'and', 'then', 'to', 'investigation', 'of', 'the', 'nonequilibrium', 'glassy', 'behaviour', 'of', 'the', 'model']] | [-0.09849595024721126, 0.16316981358839508, -0.05821249692084605, 0.052075480474239405, -0.049128774320706725, -0.10878927736334375, 0.04622713471276099, 0.38295652736620656, -0.2783359016165346, -0.30643466330968355, 0.08005590676049028, -0.2997729581768689, -0.1385683679636086, 0.09140666803858917, 0.008072700118646026, 0.026850100385892237, -0.01599690351827905, 0.03316673870872835, -0.08577190779785802, -0.21584384543580357, 0.31163515747163006, 0.04182200049499756, 0.2766558989352579, 0.05488486700803684, 0.045808183477894435, 0.03411768947864465, 0.0500665072287465, 0.058496051692757116, -0.15344621323787705, 0.11222921150078162, 0.177439425748789, -0.004410052158195397, 0.22317910567728866, -0.446060167208057, -0.22383972358536616, 0.06661272009609845, 0.11444904454502053, 0.1486480455054773, 0.015789062618719544, -0.28201517517927327, 0.04579433301816983, -0.1334704382601997, -0.14268852825726158, -0.010760866362473061, -0.01409789139469122, 0.005747882930304983, -0.22212886715564747, 0.09527646408191529, 0.10818379488773644, 0.06993019028470435, -0.09050874009021911, -0.06852391137388246, -0.07768546380122707, 0.1418955279734981, 0.035712454137833916, 0.07304182064976415, 0.10424511116560034, -0.1627449105365266, -0.14146131693369485, 0.3911107983199301, -0.02014861482693332, -0.19245495345315028, 0.18562107861989402, -0.14095366398546974, -0.08675683576790295, 0.12603710317213473, 0.155221468383639, 0.07250186682132811, -0.17171965958550572, 0.06651235508013933, 0.01330233805706014, 0.1225203381819201, 0.012393388006001198, -0.04136499873330367, 0.2517092342825671, 0.16533385075885673, 0.04632346265435476, 0.19849520332304407, -0.1005432010414834, -0.17880443096610493, -0.3113181844417905, -0.16604318110079602, -0.23250404724465876, 0.014111693405570334, -0.10390067764368222, -0.20929858752462113, 0.4098892100797645, 0.16052367085398273, 0.21556801309584286, 0.025595317106966956, 0.2565159405308679, 0.09802770779512276, 0.05513364505745342, 0.041812339966217506, 0.22194452827057704, 0.11789663910368008, 0.066428404401763, -0.21145160741509933, 0.038182613989819994, 0.1423761466325357] |
709.1346 | A MAPS-based Digital Electromagnetic Calorimeter for the ILC | A novel design for a silicon-tungsten electromagnetic calorimeter is
described, based on Monolithic Active Pixel Sensors (MAPS). A test sensor with
a pixel size of 50x50 um2 has been fabricated in July 2007. The simulation of
the physical sensor is done using a detailed three-dimensional charge spread
algorithm. Physics studies of the sensor are done including a digitisation
algorithm taking into account the charge sharing, charge collection efficiency,
noise, and dead areas. The influence of the charge sharing effect is found to
be important and hence needs to be measured precisely.
| physics.ins-det | a novel design for a silicontungsten electromagnetic calorimeter is described based on monolithic active pixel sensors maps a test sensor with a pixel size of 50x50 um2 has been fabricated in july 2007 the simulation of the physical sensor is done using a detailed threedimensional charge spread algorithm physics studies of the sensor are done including a digitisation algorithm taking into account the charge sharing charge collection efficiency noise and dead areas the influence of the charge sharing effect is found to be important and hence needs to be measured precisely | [['a', 'novel', 'design', 'for', 'a', 'silicontungsten', 'electromagnetic', 'calorimeter', 'is', 'described', 'based', 'on', 'monolithic', 'active', 'pixel', 'sensors', 'maps', 'a', 'test', 'sensor', 'with', 'a', 'pixel', 'size', 'of', '50x50', 'um2', 'has', 'been', 'fabricated', 'in', 'july', '2007', 'the', 'simulation', 'of', 'the', 'physical', 'sensor', 'is', 'done', 'using', 'a', 'detailed', 'threedimensional', 'charge', 'spread', 'algorithm', 'physics', 'studies', 'of', 'the', 'sensor', 'are', 'done', 'including', 'a', 'digitisation', 'algorithm', 'taking', 'into', 'account', 'the', 'charge', 'sharing', 'charge', 'collection', 'efficiency', 'noise', 'and', 'dead', 'areas', 'the', 'influence', 'of', 'the', 'charge', 'sharing', 'effect', 'is', 'found', 'to', 'be', 'important', 'and', 'hence', 'needs', 'to', 'be', 'measured', 'precisely']] | [-0.09507149759332066, 0.11378570288870034, -0.06732827134348535, -0.015022501923850032, -0.037664365847236835, -0.1472934069787408, 0.0027866600373002526, 0.40332892479804844, -0.1932046503483594, -0.3780196855602029, 0.08273641365211826, -0.2922986650450544, -0.08318809929539214, 0.1842445544182108, -0.0875520362815523, 0.09620551221522984, 0.04874392145487306, -0.0046605267203771155, -0.02661740485640181, -0.18696550291369332, 0.22635246177490514, 0.14413157080883507, 0.318844127540405, 0.03616282755283864, 0.16987200190855578, 0.0015927623179587689, -0.09005515607954054, 0.07630169392655511, -0.0813922214188746, 0.06302871808389222, 0.2681135447097144, 0.07495896911228096, 0.26801013963931536, -0.4499867344172774, -0.2326833716501574, 0.061590020918379444, 0.10297973735953916, 0.03741270372551958, -0.11439114197663922, -0.30068605351210625, 0.09899141357003988, -0.18377872249930277, -0.07921723282517312, 0.02094554299857099, 0.016161780753224105, 0.02281657709729868, -0.3004013754985203, -0.0021727594168304085, 0.0014050618827261112, 0.05843872964832481, -0.022381732644574655, -0.11738317221873901, -0.016259906923521188, 0.1726857734956666, -0.06534224806691181, 0.015187502981951604, 0.2556614057739153, -0.07714658493565006, -0.10823679101336134, 0.35087104115102974, 0.06873909075959371, -0.19595316932587833, 0.09153149084822572, -0.1311482259783648, -0.07796490376630982, 0.16793453507828987, 0.21956761641898653, 0.09077251987572718, -0.19632889613365898, 0.07182212230107544, 0.0025190535758795973, 0.2077844610417282, 0.04884802860688869, 0.05456377146253874, 0.2391242364851328, 0.31270011133580866, 0.045417402645798174, 0.14288884063205262, -0.17742427817934736, -0.047793035968565024, -0.2558014649938751, -0.1545883131106026, -0.19958937481803063, 0.043518211446948105, -0.045332243098847945, -0.130810920543109, 0.41809888253663924, 0.1384073415320817, 0.16838084867449252, -0.08092515467369295, 0.3575882823871715, 0.06164327054540371, 0.12848888943995257, 0.021341172502386374, 0.2521280295184844, 0.11447776201856578, 0.16067615731179222, -0.16562077299957828, 0.05283546599989327, 0.030017528386152053] |
709.1347 | Rigid rotators and diatomic molecules via Tsallis statistics | We obtain an analytic expression for the specific heat of a system of N rigid
rotators exactly in the high temperature limit, and via a pertubative approach
in the low temperature limit. We then evaluate the specific heat of a diatomic
gas with both translational and rotational degrees of freedom, and conclude
that there is a mixing between the translational and rotational degrees of
freedom in nonextensive statistics.
| cond-mat.stat-mech | we obtain an analytic expression for the specific heat of a system of n rigid rotators exactly in the high temperature limit and via a pertubative approach in the low temperature limit we then evaluate the specific heat of a diatomic gas with both translational and rotational degrees of freedom and conclude that there is a mixing between the translational and rotational degrees of freedom in nonextensive statistics | [['we', 'obtain', 'an', 'analytic', 'expression', 'for', 'the', 'specific', 'heat', 'of', 'a', 'system', 'of', 'n', 'rigid', 'rotators', 'exactly', 'in', 'the', 'high', 'temperature', 'limit', 'and', 'via', 'a', 'pertubative', 'approach', 'in', 'the', 'low', 'temperature', 'limit', 'we', 'then', 'evaluate', 'the', 'specific', 'heat', 'of', 'a', 'diatomic', 'gas', 'with', 'both', 'translational', 'and', 'rotational', 'degrees', 'of', 'freedom', 'and', 'conclude', 'that', 'there', 'is', 'a', 'mixing', 'between', 'the', 'translational', 'and', 'rotational', 'degrees', 'of', 'freedom', 'in', 'nonextensive', 'statistics']] | [-0.14293050127162132, 0.19809802358149148, -0.06774928800159079, -0.0033814895415322527, 0.0007306562346296714, -0.11334081285852282, 0.09617009893854093, 0.3244575551327537, -0.22899866164388025, -0.2768590524107875, 0.056604598876540825, -0.26974755470805306, -0.08567564528065678, 0.15125585304956665, -0.010093118981732166, 0.02163202053292052, -0.0016974521088687813, 0.06254760598804911, -0.09634794373928077, -0.15723891972618945, 0.24409402508343406, 0.029228981063865563, 0.2521067132132457, 0.08377425745129585, 0.1938525226980667, -0.0347824520602658, 0.05452058049302329, -0.00987583931419067, -0.17256677823591898, 0.09199432263096027, 0.18628820251016057, 0.04485008182168445, 0.1885249485152171, -0.3885850232532796, -0.22048289054895148, 0.07173263149418156, 0.1430266939706224, 0.16897759950884125, -0.001786112620988313, -0.1910502612179912, -0.017383207121918744, -0.19398613485014615, -0.18247626956059215, -0.1482679877731511, 0.056726427296833956, 0.033750362560728234, -0.26437703125617085, 0.15820438453160665, 0.09297930479378384, 0.1638292350587161, -0.056511529735015595, -0.09917031085933559, -0.08444328636259717, 0.10002162547864239, 0.06519445791662506, -0.00964553901405238, 0.1066540246418513, -0.17196969084879504, -0.03721500953029403, 0.4040412439362091, -0.0989908855922027, -0.24896338193074746, 0.21811785774908082, -0.1953719528254998, -0.1511993152774213, 0.13802305036498344, 0.15326099289471612, 0.13866773628465393, -0.16914297066464581, 0.0792304875799078, -0.01447148174595307, 0.1646221123279675, 0.05791842590962701, 0.04819058460484752, 0.239732174339759, 0.12024122078026481, 0.03170275714193635, 0.18269678983179963, -0.10499950325089123, -0.10361228302559432, -0.30821715415838885, -0.18624504644642859, -0.2068465091613368, 0.04312190959942253, -0.15139740392452736, -0.11212738028124851, 0.3557404369143221, 0.11554498425796149, 0.20250012025730135, 0.04012404016547782, 0.29467653735157323, 0.1470446768901585, 0.016721594212439787, 0.1202940415686873, 0.2148074485525927, 0.19684241861378884, 0.06044071029378649, -0.30774174964822393, -0.038073875776985115, 0.01766175515470369] |
709.1348 | Exclusive processes in position space and the pion distribution
amplitude | We suggest to carry out lattice calculations of current correlators in
position space, sandwiched between the vacuum and a hadron state (e.g. pion),
in order to access hadronic light-cone distribution amplitudes (DAs). In this
way the renormalization problem for composite lattice operators is avoided
altogether, and the connection to the DA is done using perturbation theory in
the continuum. As an example, the correlation function of two electromagnetic
currents is calculated to the next-to-next-to-leading order accuracy in
perturbation theory and including the twist-4 corrections. We argue that this
strategy is fully competitive with direct lattice measurements of the moments
of the DA, defined as matrix elements of local operators, and offers new
insight in the space-time picture of hard exclusive reactions.
| hep-ph hep-lat | we suggest to carry out lattice calculations of current correlators in position space sandwiched between the vacuum and a hadron state eg pion in order to access hadronic lightcone distribution amplitudes das in this way the renormalization problem for composite lattice operators is avoided altogether and the connection to the da is done using perturbation theory in the continuum as an example the correlation function of two electromagnetic currents is calculated to the nexttonexttoleading order accuracy in perturbation theory and including the twist4 corrections we argue that this strategy is fully competitive with direct lattice measurements of the moments of the da defined as matrix elements of local operators and offers new insight in the spacetime picture of hard exclusive reactions | [['we', 'suggest', 'to', 'carry', 'out', 'lattice', 'calculations', 'of', 'current', 'correlators', 'in', 'position', 'space', 'sandwiched', 'between', 'the', 'vacuum', 'and', 'a', 'hadron', 'state', 'eg', 'pion', 'in', 'order', 'to', 'access', 'hadronic', 'lightcone', 'distribution', 'amplitudes', 'das', 'in', 'this', 'way', 'the', 'renormalization', 'problem', 'for', 'composite', 'lattice', 'operators', 'is', 'avoided', 'altogether', 'and', 'the', 'connection', 'to', 'the', 'da', 'is', 'done', 'using', 'perturbation', 'theory', 'in', 'the', 'continuum', 'as', 'an', 'example', 'the', 'correlation', 'function', 'of', 'two', 'electromagnetic', 'currents', 'is', 'calculated', 'to', 'the', 'nexttonexttoleading', 'order', 'accuracy', 'in', 'perturbation', 'theory', 'and', 'including', 'the', 'twist4', 'corrections', 'we', 'argue', 'that', 'this', 'strategy', 'is', 'fully', 'competitive', 'with', 'direct', 'lattice', 'measurements', 'of', 'the', 'moments', 'of', 'the', 'da', 'defined', 'as', 'matrix', 'elements', 'of', 'local', 'operators', 'and', 'offers', 'new', 'insight', 'in', 'the', 'spacetime', 'picture', 'of', 'hard', 'exclusive', 'reactions']] | [-0.12735294728455218, 0.13779859581670229, -0.12410275418742382, 0.09122170300284509, -0.03658290343235963, -0.04896003170677823, 0.06840624063745264, 0.37647771488967513, -0.23248611041921968, -0.23508987116265642, 0.016638910388266127, -0.31455505633926834, -0.09999086807120192, 0.0844407906459475, 0.04033670863829368, 0.07887797813558535, 0.02699368785728108, 0.0057218999655778745, -0.10819942831862256, -0.19192950810548226, 0.353268491696905, 0.05747998661692601, 0.26017240996757324, 0.1056658166435678, 0.055752205077466394, 0.04221948814647626, -0.0710026696478286, 0.004732391638979547, -0.07925289378662388, 0.09874999920033257, 0.24319982605847754, 0.04694835998672099, 0.16883172825255915, -0.42666416064151064, -0.1619675199016313, 0.05370797900375256, 0.1534330439237899, 0.12688753875511244, 0.0005187629741300975, -0.24688707372127486, 0.059582144088854566, -0.21322830127598333, -0.1672850917208909, -0.1338398725213868, -0.022459598685314587, -0.0442321540726241, -0.3278269263500086, 0.08307356663791016, -0.007275391714493475, 0.017727021013869047, -0.02903302685426902, -0.1592581991090878, 0.0006546444367340281, 0.11758032115946009, 0.04346142216654848, 0.08428845759712097, 0.10568921819467805, -0.157285681252718, -0.15352954663680712, 0.39952632658422177, -0.0786840817294553, -0.19974600167921935, 0.11524074371665531, -0.18428749695789715, -0.11551915650248282, 0.10849965573865766, 0.149456366885084, 0.10567014589270746, -0.18306801181809962, 0.1066226560510849, 0.016632266256050014, 0.14606612784333897, 0.0552968018849896, 0.06497911918400363, 0.1818301418703819, 0.14423746023373293, -0.00022182637856395777, 0.09939289992782942, -0.041003233658857954, -0.1413773918170328, -0.35510826004622886, -0.1317715496209658, -0.16786376878326711, 0.06268040791311694, -0.07862928168656216, -0.17655208893889976, 0.3552704838042971, 0.12758382780608252, 0.20982320696762033, -0.0030148191500670653, 0.29999865569974765, 0.11755959054101345, 0.07494595898161373, 0.047734100265767083, 0.26773245073085233, 0.18253006066642086, 0.10471882665976506, -0.24129457660943024, -0.01839075369898938, 0.11884533716288727] |
709.1349 | Knot localization in adsorbing polymer rings | We study by Monte Carlo simulations a model of knotted polymer ring adsorbing
onto an impenetrable, attractive wall. The polymer is described by a
self-avoiding polygon (SAP) on the cubic lattice. We find that the adsorption
transition temperature, the crossover exponent $\phi$ and the metric exponent
$\nu$, are the same as in the model where the topology of the ring is
unrestricted. By measuring the average length of the knotted portion of the
ring we are able to show that adsorbed knots are localized. This knot
localization transition is triggered by the adsorption transition but is
accompanied by a less sharp variation of the exponent related to the degree of
localization. Indeed, for a whole interval below the adsorption transition, one
can not exclude a contiuous variation with temperature of this exponent. Deep
into the adsorbed phase we are able to verify that knot localization is strong
and well described in terms of the flat knot model.
| cond-mat.soft | we study by monte carlo simulations a model of knotted polymer ring adsorbing onto an impenetrable attractive wall the polymer is described by a selfavoiding polygon sap on the cubic lattice we find that the adsorption transition temperature the crossover exponent phi and the metric exponent nu are the same as in the model where the topology of the ring is unrestricted by measuring the average length of the knotted portion of the ring we are able to show that adsorbed knots are localized this knot localization transition is triggered by the adsorption transition but is accompanied by a less sharp variation of the exponent related to the degree of localization indeed for a whole interval below the adsorption transition one can not exclude a contiuous variation with temperature of this exponent deep into the adsorbed phase we are able to verify that knot localization is strong and well described in terms of the flat knot model | [['we', 'study', 'by', 'monte', 'carlo', 'simulations', 'a', 'model', 'of', 'knotted', 'polymer', 'ring', 'adsorbing', 'onto', 'an', 'impenetrable', 'attractive', 'wall', 'the', 'polymer', 'is', 'described', 'by', 'a', 'selfavoiding', 'polygon', 'sap', 'on', 'the', 'cubic', 'lattice', 'we', 'find', 'that', 'the', 'adsorption', 'transition', 'temperature', 'the', 'crossover', 'exponent', 'phi', 'and', 'the', 'metric', 'exponent', 'nu', 'are', 'the', 'same', 'as', 'in', 'the', 'model', 'where', 'the', 'topology', 'of', 'the', 'ring', 'is', 'unrestricted', 'by', 'measuring', 'the', 'average', 'length', 'of', 'the', 'knotted', 'portion', 'of', 'the', 'ring', 'we', 'are', 'able', 'to', 'show', 'that', 'adsorbed', 'knots', 'are', 'localized', 'this', 'knot', 'localization', 'transition', 'is', 'triggered', 'by', 'the', 'adsorption', 'transition', 'but', 'is', 'accompanied', 'by', 'a', 'less', 'sharp', 'variation', 'of', 'the', 'exponent', 'related', 'to', 'the', 'degree', 'of', 'localization', 'indeed', 'for', 'a', 'whole', 'interval', 'below', 'the', 'adsorption', 'transition', 'one', 'can', 'not', 'exclude', 'a', 'contiuous', 'variation', 'with', 'temperature', 'of', 'this', 'exponent', 'deep', 'into', 'the', 'adsorbed', 'phase', 'we', 'are', 'able', 'to', 'verify', 'that', 'knot', 'localization', 'is', 'strong', 'and', 'well', 'described', 'in', 'terms', 'of', 'the', 'flat', 'knot', 'model']] | [-0.16048340495819083, 0.1915381214043569, -0.0802513780982759, 0.040312494699789495, -0.016287479169057824, -0.1855471724889074, 0.04110371747698922, 0.4031337107149645, -0.27629724161651653, -0.24701728667237033, 0.06203866973877526, -0.2863136478580343, -0.15246542658394155, 0.13473744744894645, 0.005553687874896404, 0.008740809423705706, 0.005289454017586719, 0.0471465801461958, -0.046410406505366646, -0.20273691220417953, 0.2705602627665473, 0.0637077937058982, 0.22923714012050858, 0.11656649952578263, 0.03902270671768257, -0.023850028976224937, 0.04881819445066727, 0.05605551185838591, -0.23248728202242303, 0.08579462090244469, 0.1848614698705765, -0.025246780116457302, 0.16201640349717286, -0.3851298305970163, -0.22351725560684615, 0.10826725436028284, 0.1677256692917301, 0.0676518094767697, -0.024514421472140852, -0.291699409747544, 0.07193829579792248, -0.1242554060935128, -0.14252931389133805, -0.02472212459020412, 0.03174157903338663, 0.04566421129185563, -0.20566643526455244, 0.09670106422466536, 0.06207864768638944, 0.06716116722852278, -0.02576158986014959, -0.04628852459166247, -0.05375063827243419, 0.10056197999167638, 0.043826750675156616, 0.0838656607554115, 0.18773425677910638, -0.14585085060948935, -0.08162947955768174, 0.3852450081344264, -0.07173426966302288, -0.17753579678276601, 0.18383647810417011, -0.18033868885443857, -0.08783524775376114, 0.24119322321777686, 0.09301664215775254, 0.1217008133430798, -0.09121340733336417, 0.09181964252592223, -0.07339913157435755, 0.2021501051741115, 0.05092123498280461, -0.05759300512578099, 0.19830517423076507, 0.17516240583977494, 0.05104827463051501, 0.22671600769703779, -0.10957507184223057, -0.1416823283608, -0.2895802054136323, -0.18143589906872082, -0.24813673889431626, 0.051313962008395886, -0.11517351496168442, -0.20548528069869065, 0.39593191371591857, 0.10278568905778229, 0.21265346896894372, 0.07412698066745622, 0.21605462283015442, 0.099546840556939, 0.06703033820630457, 0.05017111183573993, 0.20986835512284857, 0.09448486833627193, 0.026875355069000177, -0.22172243641062567, 0.07915223384490953, 0.13858318429750702] |
709.135 | Conical square function estimates in UMD Banach spaces and applications
to H-infinity functional calculi | We study conical square function estimates for Banach-valued functions, and
introduce a vector-valued analogue of the Coifman-Meyer-Stein tent spaces.
Following recent work of Auscher-McIntosh-Russ, the tent spaces in turn are
used to construct a scale of vector-valued Hardy spaces associated with a given
bisectorial operator (A) with certain off-diagonal bounds, such that (A) always
has a bounded (H^{\infty})-functional calculus on these spaces. This provides a
new way of proving functional calculus of (A) on the Bochner spaces
(L^p(\R^n;X)) by checking appropriate conical square function estimates, and
also a conical analogue of Bourgain's extension of the Littlewood-Paley theory
to the UMD-valued context. Even when (X=\C), our approach gives refined
(p)-dependent versions of known results.
| math.FA math.SP | we study conical square function estimates for banachvalued functions and introduce a vectorvalued analogue of the coifmanmeyerstein tent spaces following recent work of auschermcintoshruss the tent spaces in turn are used to construct a scale of vectorvalued hardy spaces associated with a given bisectorial operator a with certain offdiagonal bounds such that a always has a bounded hinftyfunctional calculus on these spaces this provides a new way of proving functional calculus of a on the bochner spaces lprnx by checking appropriate conical square function estimates and also a conical analogue of bourgains extension of the littlewoodpaley theory to the umdvalued context even when xc our approach gives refined pdependent versions of known results | [['we', 'study', 'conical', 'square', 'function', 'estimates', 'for', 'banachvalued', 'functions', 'and', 'introduce', 'a', 'vectorvalued', 'analogue', 'of', 'the', 'coifmanmeyerstein', 'tent', 'spaces', 'following', 'recent', 'work', 'of', 'auschermcintoshruss', 'the', 'tent', 'spaces', 'in', 'turn', 'are', 'used', 'to', 'construct', 'a', 'scale', 'of', 'vectorvalued', 'hardy', 'spaces', 'associated', 'with', 'a', 'given', 'bisectorial', 'operator', 'a', 'with', 'certain', 'offdiagonal', 'bounds', 'such', 'that', 'a', 'always', 'has', 'a', 'bounded', 'hinftyfunctional', 'calculus', 'on', 'these', 'spaces', 'this', 'provides', 'a', 'new', 'way', 'of', 'proving', 'functional', 'calculus', 'of', 'a', 'on', 'the', 'bochner', 'spaces', 'lprnx', 'by', 'checking', 'appropriate', 'conical', 'square', 'function', 'estimates', 'and', 'also', 'a', 'conical', 'analogue', 'of', 'bourgains', 'extension', 'of', 'the', 'littlewoodpaley', 'theory', 'to', 'the', 'umdvalued', 'context', 'even', 'when', 'xc', 'our', 'approach', 'gives', 'refined', 'pdependent', 'versions', 'of', 'known', 'results']] | [-0.10062433986670592, 0.04815871132622388, -0.1212929127399217, 0.17220065396342596, -0.0958741598222828, -0.08539531561757692, 0.0028874717345884577, 0.33017229431054806, -0.28704517676325686, -0.17611738250336864, 0.16788969810268925, -0.24389511195477098, -0.19412793707187204, 0.23462446243925528, -0.13502212575086478, 0.06791268138384277, 0.01903165013275363, 0.024077400713312356, -0.15400801291054284, -0.21984445651442827, 0.41286605640991847, -0.004295385082844983, 0.20014362074434758, 0.059441685617308726, 0.08946342966942625, 0.05314451450566676, -0.03872073907193474, -0.005322093550454487, -0.20049596074789985, 0.22862316095270216, 0.22480128434571353, 0.0565240411056121, 0.34144450244070457, -0.35684684974734077, -0.20256898741830479, 0.15699270952768116, 0.09300141357128847, -0.004779423885470764, -0.04388195964274928, -0.32915939585390414, 0.03913960869170048, -0.13632552344352006, -0.18902699751567772, -0.11989290030165152, -0.017809387008574876, 0.06840249204965816, -0.314958894667639, 0.0425149863689016, 0.12600900614634156, 0.03751136312599886, -0.11473971750925888, -0.10356152250262146, 0.0099054564404386, 0.03853436170320492, -0.006331802739507773, 0.11100801748689264, 0.06725519381632859, -0.04574066529219801, -0.15068171049722218, 0.29212384665046226, -0.10858132279139351, -0.27155414567413655, 0.11609659653834321, -0.14892854844219983, -0.15308056205765092, 0.041873709957210604, 0.11560017477763308, 0.1415774343831634, -0.08554860741040267, 0.17068923211296683, -0.1083883356472308, 0.11251467334275896, 0.09572163166224279, 0.06584454906511714, 0.08554963655346497, 0.11201244961174035, 0.1553116082467816, 0.1757085692243312, -0.006850942123062189, -0.099335198484848, -0.35089068159630354, -0.1891318299045617, -0.1600833646953106, 0.09068530008027499, -0.14307435455028264, -0.2526061346066523, 0.3683249354870482, 0.07243591827679087, 0.17348362255354666, 0.14518977934494615, 0.214598524926061, 0.12684110335857524, 0.06837180860933255, 0.00589502092519648, 0.13729657637040046, 0.21254398400090974, 0.08233279621874151, -0.10006928675046022, 0.00845234248527876, 0.24141917865424395] |
709.1351 | Temperature Inversion Symmetry in Gauge-Higgs Unification Models | The temperature inversion symmetry $R\to \frac{1}{T}$ is studied for the
finite temperature effective potential of the N=1, $d=5$, supersymmetric
$SU(3)_{c}{\times}SU(3)_{w}$ model, on the orbifold $S^{1}/Z_{2}$. For the
value of the Wilson line parameter $\alpha=1$ ($SU(2)_{L}$ breaks to a
$U'(1)$), it is found that the effective potential contains a symmetric part
and an anti-symmetric part under $\xi\to \frac{1}{\xi}$, with, $\xi=RT$. When
$\alpha=0$ (for which, $SU(2)_{L}$ remains unbroken) it is found that the only
contribution to the effective potential that spoils the temperature inversion
symmetry comes from the fermions in the fundamental representation of the gauge
group, with $(+,+)$ or $(-,-)$, $Z_{2}$ parities. This is interesting since it
implies that the bulk effective potential corresponding to models with orbifold
fixed point localized fundamental fermions (and with no bulk fundamental
fermions) has the temperature inversion symmetry.
| hep-ph math-ph math.MP | the temperature inversion symmetry rto frac1t is studied for the finite temperature effective potential of the n1 d5 supersymmetric su3_ctimessu3_w model on the orbifold s1z_2 for the value of the wilson line parameter alpha1 su2_l breaks to a u1 it is found that the effective potential contains a symmetric part and an antisymmetric part under xito frac1xi with xirt when alpha0 for which su2_l remains unbroken it is found that the only contribution to the effective potential that spoils the temperature inversion symmetry comes from the fermions in the fundamental representation of the gauge group with or z_2 parities this is interesting since it implies that the bulk effective potential corresponding to models with orbifold fixed point localized fundamental fermions and with no bulk fundamental fermions has the temperature inversion symmetry | [['the', 'temperature', 'inversion', 'symmetry', 'rto', 'frac1t', 'is', 'studied', 'for', 'the', 'finite', 'temperature', 'effective', 'potential', 'of', 'the', 'n1', 'd5', 'supersymmetric', 'su3_ctimessu3_w', 'model', 'on', 'the', 'orbifold', 's1z_2', 'for', 'the', 'value', 'of', 'the', 'wilson', 'line', 'parameter', 'alpha1', 'su2_l', 'breaks', 'to', 'a', 'u1', 'it', 'is', 'found', 'that', 'the', 'effective', 'potential', 'contains', 'a', 'symmetric', 'part', 'and', 'an', 'antisymmetric', 'part', 'under', 'xito', 'frac1xi', 'with', 'xirt', 'when', 'alpha0', 'for', 'which', 'su2_l', 'remains', 'unbroken', 'it', 'is', 'found', 'that', 'the', 'only', 'contribution', 'to', 'the', 'effective', 'potential', 'that', 'spoils', 'the', 'temperature', 'inversion', 'symmetry', 'comes', 'from', 'the', 'fermions', 'in', 'the', 'fundamental', 'representation', 'of', 'the', 'gauge', 'group', 'with', 'or', 'z_2', 'parities', 'this', 'is', 'interesting', 'since', 'it', 'implies', 'that', 'the', 'bulk', 'effective', 'potential', 'corresponding', 'to', 'models', 'with', 'orbifold', 'fixed', 'point', 'localized', 'fundamental', 'fermions', 'and', 'with', 'no', 'bulk', 'fundamental', 'fermions', 'has', 'the', 'temperature', 'inversion', 'symmetry']] | [-0.15355044922034722, 0.2036836958592403, -0.06051177334302338, 0.06846315845814388, -0.07590565218379197, -0.20842012972570956, 0.016436118785350118, 0.3503550838504452, -0.1863511919582379, -0.2485375663782179, 0.11276610268851073, -0.27614358565188013, -0.11815283217765682, 0.06150206749953213, 0.009997492459660862, 0.004175862204647274, -0.08717381133101298, 0.09859295226715403, -0.11057259372410044, -0.22847729275235906, 0.31362280772373197, -0.005411925370935933, 0.2962757842360588, 0.0883687130422004, 0.08287110910600859, -0.005229010854236549, 0.06287260113458615, -0.06453298024644027, -0.06804760447380431, 0.054958821354375686, 0.18779105030390042, -0.034647704032977344, 0.12816466717413277, -0.3636996742570773, -0.215468279493507, 0.13737853576458292, 0.1555476734720287, 0.11506919099610968, -0.09708633799982636, -0.2838634478539461, 0.06955163887323579, -0.13247996783502458, -0.20127431489254377, -0.05759991035665735, 0.06049467806587927, -0.15117770683718845, -0.2964776339867967, 0.08894796643926384, 0.02960958212861442, 0.06692179815945565, -0.04688226479856894, -0.13900694643780298, -0.13126458940314478, 0.06643298863241398, 0.18245030590242095, 0.07035055842334259, 0.10760919441145234, -0.17473672863320644, -0.05817034681967925, 0.43604016533936374, -0.073811599479086, -0.1920216624639579, 0.15863280639314326, -0.11048455513491717, -0.15149104383090162, 0.14523882890279083, 0.045912558842246654, 0.0817112597542291, -0.08505937111851836, 0.2579468769226878, -0.07348821154027974, 0.17595982891384665, 0.018576197362563107, -0.009029379752064415, 0.23974187624116894, 0.0939196041708783, 0.11298617574902892, 0.10788845499337185, -0.0408629702997132, -0.1241794902532547, -0.3753617123729782, -0.14315913134487346, -0.19547340002463898, 0.11548767113708891, -0.1289609035459307, -0.14802359136047016, 0.4208741647962597, 0.13252081954851747, 0.1701356573294106, 0.02382916257283796, 0.2277875602230779, 0.1443046940289605, 0.12391169733018614, 0.055957284588657785, 0.22040983501574374, 0.12861128004169586, 0.052776328800973715, -0.27951958192170423, -0.08019666938162118, 0.1237920165876858] |
709.1352 | Quantum Phase Transitions of Light in the Dicke-Bose-Hubbard model | We extend the idea of quantum phase transitions of light in atom-photon
system with Dicke-Bose-Hubbard model for arbitrary number of two-level atoms.
The formulations of eigenenergies, effective Rabi frequencies, and critical
chemical potentials for two atoms are derived. With a self-consistent method,
we obtain a complete phase diagram for two two-level atoms on resonance, which
indicates the transition from Mott insulator to superfluidity and with a mean
excitations diagram for confirmation. We illustrate the generality of the
method by constructing the dressed-state basis for arbitrary number of
two-level atoms. In addition, we show that the Mott insulator lobes in the
phase diagrams will smash out with the increase of atom numbers. The results of
this work provide a step for studying the effects with combinations of
Dicke-like and Hubbard-like models to simulate strongly correlated electron
systems using photons.
| quant-ph | we extend the idea of quantum phase transitions of light in atomphoton system with dickebosehubbard model for arbitrary number of twolevel atoms the formulations of eigenenergies effective rabi frequencies and critical chemical potentials for two atoms are derived with a selfconsistent method we obtain a complete phase diagram for two twolevel atoms on resonance which indicates the transition from mott insulator to superfluidity and with a mean excitations diagram for confirmation we illustrate the generality of the method by constructing the dressedstate basis for arbitrary number of twolevel atoms in addition we show that the mott insulator lobes in the phase diagrams will smash out with the increase of atom numbers the results of this work provide a step for studying the effects with combinations of dickelike and hubbardlike models to simulate strongly correlated electron systems using photons | [['we', 'extend', 'the', 'idea', 'of', 'quantum', 'phase', 'transitions', 'of', 'light', 'in', 'atomphoton', 'system', 'with', 'dickebosehubbard', 'model', 'for', 'arbitrary', 'number', 'of', 'twolevel', 'atoms', 'the', 'formulations', 'of', 'eigenenergies', 'effective', 'rabi', 'frequencies', 'and', 'critical', 'chemical', 'potentials', 'for', 'two', 'atoms', 'are', 'derived', 'with', 'a', 'selfconsistent', 'method', 'we', 'obtain', 'a', 'complete', 'phase', 'diagram', 'for', 'two', 'twolevel', 'atoms', 'on', 'resonance', 'which', 'indicates', 'the', 'transition', 'from', 'mott', 'insulator', 'to', 'superfluidity', 'and', 'with', 'a', 'mean', 'excitations', 'diagram', 'for', 'confirmation', 'we', 'illustrate', 'the', 'generality', 'of', 'the', 'method', 'by', 'constructing', 'the', 'dressedstate', 'basis', 'for', 'arbitrary', 'number', 'of', 'twolevel', 'atoms', 'in', 'addition', 'we', 'show', 'that', 'the', 'mott', 'insulator', 'lobes', 'in', 'the', 'phase', 'diagrams', 'will', 'smash', 'out', 'with', 'the', 'increase', 'of', 'atom', 'numbers', 'the', 'results', 'of', 'this', 'work', 'provide', 'a', 'step', 'for', 'studying', 'the', 'effects', 'with', 'combinations', 'of', 'dickelike', 'and', 'hubbardlike', 'models', 'to', 'simulate', 'strongly', 'correlated', 'electron', 'systems', 'using', 'photons']] | [-0.12075237201417993, 0.19594367105092336, -0.04788444574963111, 0.03111130301925578, 0.014162600135607441, -0.1669477450960472, 0.11880997644846131, 0.37988324853571226, -0.18636212276675515, -0.28566918690709303, -0.020345972482978373, -0.29212311070657127, -0.127453213819323, 0.1804987086598374, 0.03957575178929489, 0.027829521158914062, 0.05145890406251334, -0.02847857774642337, -0.09734140949181017, -0.20823694020849617, 0.3394108718213537, -0.017376723625768573, 0.239058771925251, 0.05682183271460915, 0.06598670225943962, 0.007193773056985471, 0.0797710530391901, -0.000708200190433838, -0.12827984189783967, 0.09680225697420809, 0.2438160341948555, 0.008482335329082978, 0.20579831007813668, -0.4268009781184858, -0.2073861841982516, 0.066044841836934, 0.1665638113278814, 0.2104715746003169, -0.062380201069393404, -0.32009708940860454, -0.031181289919781207, -0.19477566797286272, -0.16414087587953918, -0.1103736711937907, 0.004721262463348082, 0.03950886808023074, -0.29589285407670823, 0.04116795349073338, 0.035164331610685357, 0.09390668097176473, -0.0663647324672771, -0.0792514619436183, 0.006253366667886067, 0.07522336621326904, -0.040011236174108566, 0.004169685144086171, 0.11175394258427902, -0.11283066892405007, -0.12279175319131055, 0.4017956194868923, -0.09652253217743642, -0.1430511020538635, 0.17981696588388324, -0.16107538837028573, -0.09247059953895255, 0.13735572005329777, 0.11603438621259424, 0.08602346321160015, -0.10827727658660526, 0.05174008387448538, -0.010465088427868963, 0.17348810243522272, 0.007119574978349418, 0.0990605219743167, 0.2374164970374129, 0.16359161996421995, 0.02472213278082709, 0.20738889256162554, -0.0760562340881893, -0.12903507750984416, -0.26611451884854015, -0.1781766422111609, -0.2104585450448531, 0.002605331307073144, -0.061964610438257704, -0.17527224738014877, 0.42113536355649905, 0.16237300798215354, 0.17408692631186462, 0.0008996047808645959, 0.262445752862433, 0.1472509662037797, 0.0037216628650135366, 0.0034739483576131996, 0.24912776609705964, 0.19049425691835256, 0.05105707864107115, -0.28803794275473016, -0.02848671023720318, 0.09822987507770423] |
709.1353 | Dynamics of Linear and Affine Maps | The well-known theory of "rational canonical form of an operator" describes
the invariant factors, or elementary divisors, as a complete set of invariants
of a similarity class of an operator on a finite-dimensional vector space $\V$
over a given field $\F$. A finer part of the theory is the contribution by
Frobenius dealing with the structure of the centralizer of an operator. The
viewpoint is that of finitely generated modules over a PID, cf. for example
[J], ch. 3. In this paper we approach the issue from a "dynamic" viewpoint, as
explained in [K]. We also extend the theory to affine maps. The formulation is
in terms of the action of the geneal linear group, or the group of invertible
affine maps, on the semigroup of all linear resp. affine maps by conjugacy. We
describe a parametrization of orbits and orbit-classes under this action, and
also provide a parametrization of all affine maps themselves.
| math.DS math.GR | the wellknown theory of rational canonical form of an operator describes the invariant factors or elementary divisors as a complete set of invariants of a similarity class of an operator on a finitedimensional vector space v over a given field f a finer part of the theory is the contribution by frobenius dealing with the structure of the centralizer of an operator the viewpoint is that of finitely generated modules over a pid cf for example j ch 3 in this paper we approach the issue from a dynamic viewpoint as explained in k we also extend the theory to affine maps the formulation is in terms of the action of the geneal linear group or the group of invertible affine maps on the semigroup of all linear resp affine maps by conjugacy we describe a parametrization of orbits and orbitclasses under this action and also provide a parametrization of all affine maps themselves | [['the', 'wellknown', 'theory', 'of', 'rational', 'canonical', 'form', 'of', 'an', 'operator', 'describes', 'the', 'invariant', 'factors', 'or', 'elementary', 'divisors', 'as', 'a', 'complete', 'set', 'of', 'invariants', 'of', 'a', 'similarity', 'class', 'of', 'an', 'operator', 'on', 'a', 'finitedimensional', 'vector', 'space', 'v', 'over', 'a', 'given', 'field', 'f', 'a', 'finer', 'part', 'of', 'the', 'theory', 'is', 'the', 'contribution', 'by', 'frobenius', 'dealing', 'with', 'the', 'structure', 'of', 'the', 'centralizer', 'of', 'an', 'operator', 'the', 'viewpoint', 'is', 'that', 'of', 'finitely', 'generated', 'modules', 'over', 'a', 'pid', 'cf', 'for', 'example', 'j', 'ch', '3', 'in', 'this', 'paper', 'we', 'approach', 'the', 'issue', 'from', 'a', 'dynamic', 'viewpoint', 'as', 'explained', 'in', 'k', 'we', 'also', 'extend', 'the', 'theory', 'to', 'affine', 'maps', 'the', 'formulation', 'is', 'in', 'terms', 'of', 'the', 'action', 'of', 'the', 'geneal', 'linear', 'group', 'or', 'the', 'group', 'of', 'invertible', 'affine', 'maps', 'on', 'the', 'semigroup', 'of', 'all', 'linear', 'resp', 'affine', 'maps', 'by', 'conjugacy', 'we', 'describe', 'a', 'parametrization', 'of', 'orbits', 'and', 'orbitclasses', 'under', 'this', 'action', 'and', 'also', 'provide', 'a', 'parametrization', 'of', 'all', 'affine', 'maps', 'themselves']] | [-0.1558054855038216, 0.07056547736848236, -0.09157364926987181, 0.026169784674206505, -0.0588184074700908, -0.09004374774552784, 0.013997415950717894, 0.32223292487967564, -0.35413049665696333, -0.20031752100361414, 0.08689433280884068, -0.2583839579816221, -0.1911136683901484, 0.1952124832559524, -0.10460081037231966, 0.0020365467797474643, 0.02015181538177115, 0.12059637420067079, -0.12646867277094556, -0.2306602700662456, 0.41065228562250633, 0.008093754461457903, 0.20091020037656754, 0.012101431160868072, 0.17541130747198813, 0.025798233691602945, -0.06456300065436058, 0.03690102518406715, -0.10305955239111522, 0.15889156072425017, 0.2661958798692611, 0.1135871499883299, 0.23843757547346237, -0.3483552519648679, -0.1662304946619674, 0.1465246232018169, 0.09749581034166592, 0.04222961849729089, -0.009639397203787476, -0.2579616012456092, 0.08742363097314267, -0.19181612331119954, -0.14146462281075256, -0.06738699962826152, 0.04989862414827497, -0.016903819406012956, -0.2738287315239033, 0.005242537158329996, 0.12740639662737713, 0.13887197101997262, -0.09362599169712905, -0.08526468646136652, -0.03087286835407691, 0.09122607752215117, -0.01761309367659698, 0.06218196443698712, 0.10992751066805795, -0.11817659372096195, -0.11835671748083673, 0.3967261454335561, -0.08383973219775055, -0.2503304954520182, 0.13069289792206532, -0.13058529762967833, -0.13728448242488267, 0.11483703718343015, 0.12880710358608907, 0.1428398949516888, -0.09662240265147136, 0.20486943638733415, -0.1356580350548029, 0.08785058125412386, 0.026545005456826306, 0.0007953627431752944, 0.1291536497378011, 0.08740006953073469, 0.10033341031215202, 0.12362593276530358, 0.014688819276144434, -0.05059336349796994, -0.36895332531007863, -0.174077440175767, -0.10982772591830182, 0.09279818865960758, -0.09313257673344005, -0.1842320964297917, 0.4535214274793888, 0.07094629019143452, 0.22104552225209773, 0.08903829557330985, 0.2337483672829541, 0.11476190466984056, 0.058630266848731, 0.042767134292884486, 0.12102880843878283, 0.19023939843693943, -0.018024496564114662, -0.17712106342629627, -0.012547009204832935, 0.1930539114370109] |
709.1354 | The stellar mass assembly of galaxies from z=0 to z=4. Analysis of a
sample selected in the rest-frame near-infrared with Spitzer | Using a sample of ~28,000 sources selected at 3.6-4.5 microns with Spitzer
observations of the HDF-N, the CDF-S, and the Lockman Hole (surveyed area: ~664
arcmin^2), we study the evolution of the stellar mass content of the Universe
at 0<z<4. We calculate stellar masses and photometric redshifts, based on
~2,000 templates built with stellar and dust emission models fitting the
UV-to-MIR SEDs of galaxies with spectroscopic redshifts. We estimate stellar
mass functions for different redshift intervals. We find that 50% of the local
stellar mass density was assembled at 0<z<1 (average SFR:0.048 M_sun/yr/Mpc^3),
and at least another 40% at 1<z<4 (average SFR: 0.074 M_sun/yr/Mpc^3). Our
results confirm and quantify the ``downsizing'' scenario of galaxy formation.
The most massive galaxies (M>10^12.0 M_sun) assembled the bulk of their stellar
content rapidly (in 1-2 Gyr) beyond z~3 in very intense star formation events
(producing high specific SFRs). Galaxies with 10^11.5<M/M_sun<10^12.0 assembled
half of their stellar mass before z~1.5, and more than 90% of their mass was
already in place at z~0.6. Galaxies with M<10^11.5 M_sun evolved more slowly
(presenting smaller specific SFRs), assembling half of their stellar mass below
z~1. About 40% of the local stellar mass density of 10^9.0<M/M_sun<10^11.0
galaxies was assembled below z~0.4, most probably through accretion of small
satellites producing little star formation. The cosmic stellar mass density at
z>2.5 is dominated by optically faint (R>25) red galaxies (Distant Red Galaxies
or BzK sources) which account for ~30% of the global population of galaxies,
but contribute at least 60% to the cosmic stellar mass density. Bluer galaxies
(e.g., Lyman Break Galaxies) are more numerous but less massive, contributing
less than 50% to the global stellar mass density at high redshift.
| astro-ph | using a sample of 28000 sources selected at 3645 microns with spitzer observations of the hdfn the cdfs and the lockman hole surveyed area 664 arcmin2 we study the evolution of the stellar mass content of the universe at 0z4 we calculate stellar masses and photometric redshifts based on 2000 templates built with stellar and dust emission models fitting the uvtomir seds of galaxies with spectroscopic redshifts we estimate stellar mass functions for different redshift intervals we find that 50 of the local stellar mass density was assembled at 0z1 average sfr0048 m_sunyrmpc3 and at least another 40 at 1z4 average sfr 0074 m_sunyrmpc3 our results confirm and quantify the downsizing scenario of galaxy formation the most massive galaxies m10120 m_sun assembled the bulk of their stellar content rapidly in 12 gyr beyond z3 in very intense star formation events producing high specific sfrs galaxies with 10115mm_sun10120 assembled half of their stellar mass before z15 and more than 90 of their mass was already in place at z06 galaxies with m10115 m_sun evolved more slowly presenting smaller specific sfrs assembling half of their stellar mass below z1 about 40 of the local stellar mass density of 1090mm_sun10110 galaxies was assembled below z04 most probably through accretion of small satellites producing little star formation the cosmic stellar mass density at z25 is dominated by optically faint r25 red galaxies distant red galaxies or bzk sources which account for 30 of the global population of galaxies but contribute at least 60 to the cosmic stellar mass density bluer galaxies eg lyman break galaxies are more numerous but less massive contributing less than 50 to the global stellar mass density at high redshift | [['using', 'a', 'sample', 'of', '28000', 'sources', 'selected', 'at', '3645', 'microns', 'with', 'spitzer', 'observations', 'of', 'the', 'hdfn', 'the', 'cdfs', 'and', 'the', 'lockman', 'hole', 'surveyed', 'area', '664', 'arcmin2', 'we', 'study', 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709.1355 | Enhancement of localization in one-dimensional random potentials with
long-range correlations | We experimentally study the effect of enhancement of localization in weak
one-dimensional random potentials. Our experimental setup is a single mode
waveguide with 100 tuneable scatterers periodically inserted into the
waveguide. By measuring the amplitudes of transmitted and reflected waves in
the spacing between each pair of scatterers, we observe a strong decrease of
the localization length when white-noise scatterers are replaced by a
correlated arrangement of scatterers.
| cond-mat.dis-nn | we experimentally study the effect of enhancement of localization in weak onedimensional random potentials our experimental setup is a single mode waveguide with 100 tuneable scatterers periodically inserted into the waveguide by measuring the amplitudes of transmitted and reflected waves in the spacing between each pair of scatterers we observe a strong decrease of the localization length when whitenoise scatterers are replaced by a correlated arrangement of scatterers | [['we', 'experimentally', 'study', 'the', 'effect', 'of', 'enhancement', 'of', 'localization', 'in', 'weak', 'onedimensional', 'random', 'potentials', 'our', 'experimental', 'setup', 'is', 'a', 'single', 'mode', 'waveguide', 'with', '100', 'tuneable', 'scatterers', 'periodically', 'inserted', 'into', 'the', 'waveguide', 'by', 'measuring', 'the', 'amplitudes', 'of', 'transmitted', 'and', 'reflected', 'waves', 'in', 'the', 'spacing', 'between', 'each', 'pair', 'of', 'scatterers', 'we', 'observe', 'a', 'strong', 'decrease', 'of', 'the', 'localization', 'length', 'when', 'whitenoise', 'scatterers', 'are', 'replaced', 'by', 'a', 'correlated', 'arrangement', 'of', 'scatterers']] | [-0.2315395810874179, 0.25016198231263415, 0.0016227578607333057, -0.005213448036503156, 0.023396207810626093, -0.1954323453897172, 0.04820756766575334, 0.45148398661438155, -0.26492273851352577, -0.24178453111637602, -0.008206189764143132, -0.3337138953673489, -0.14120240627294955, 0.1608508550835883, 0.03572278957375709, 0.032303252209470994, 0.057875064194805044, -0.011517437866560239, -0.018020550679305896, -0.14564915657084546, 0.26303718733491704, 0.016738015874152017, 0.31944096236325364, 0.05486329658614362, 0.04944871482439339, 0.12977863175054902, 0.02226029966122416, 0.042624589507741964, -0.06211984565700678, 0.09544472533332951, 0.17512040030594697, -0.07918325739720945, 0.23072476089959415, -0.4647253481191857, -0.21969752960071406, 0.06472542820333996, 0.17611199011341394, 0.14144992266494014, -0.062161225894027776, -0.35106063760159645, 0.05495251412503421, -0.07727016081266544, -0.16498467583647547, 0.0634662227376419, 0.012751155779423082, 0.07487987537580706, -0.2805902038098258, 0.04628658720620853, 0.06061762672684649, 0.05623608990572393, -0.02791571711885113, 0.022382531397263792, 0.009912015003946555, 0.07427779424752397, -0.0013609298895222739, -0.020823177124839276, 0.15252676640418084, -0.09148572745685027, -0.08699709898449809, 0.3667561960481929, -0.13027184285387836, -0.21739526114919605, 0.1306609156240216, -0.19133524048854322, 0.027714410926872754, 0.18638974158367252, 0.19350360802319996, 0.0657637578311979, -0.12262627631464378, 0.027063534522312693, -0.04866797378396287, 0.2281748163749238, 0.14525174285860404, 0.09761502145899131, 0.23891733326565692, 0.182659186912454, 0.02068150047938723, 0.2353224825552281, -0.14456559414975345, -0.022936629008173066, -0.30743050373926323, -0.07690779989848927, -0.24813432216443984, -0.0024798216455725625, -0.11563715438665788, -0.2056344022755237, 0.4004918314064579, 0.12955761368057744, 0.22068626825314233, 0.005836658015408937, 0.2718329413465279, 0.1611587831781328, 0.06981048385119613, -0.02436667276025914, 0.2533705501443953, 0.17356116824735449, 0.05276131702874623, -0.25356647657805725, 0.005443511958754457, 0.0007796976338688503] |
709.1356 | Iron lines from transient and persisting hot spots on AGN accretion
disks | [abridged] We model the X-ray reprocessing from a strong co-rotating flare
above an accretion disk in active galactic nuclei. We explore the horizontal
structure and evolution of the underlying hot spot. To obtain the spectral
evolution seen by a distant observer, we apply a general relativity ray-tracing
technique. We concentrate on the energy band around the iron K-line, where the
relativistic effects are most pronounced. Persistent flares lasting for a
significant fraction of the orbital time scale and short, transient flares are
considered. In our time-resolved analysis, the spectra recorded by a distant
observer depend on the position of the flare/spot with respect to the central
black hole. If the flare duration significantly exceeds the light travel time
across the spot, then the spot horizontal stratification is unimportant. On the
other hand, if the flare duration is comparable to the light travel time across
the spot radius, the lightcurves exhibit a typical asymmetry in their time
profiles. The sequence of dynamical spectra proceeds from more strongly to less
strongly ionized re-emission. At all locations within the spot the spectral
intensity increases towards edge-on emission angles, revealing the limb
brightening effect. Future X-ray observatories with significantly larger
effective collecting areas will enable to spectroscopically map out the
azimuthal irradiation structure of the accretion disk and to localize
persistent flares. If the hot spot is not located too close to the marginally
stable orbit of the black hole, it will be possible to probe the reflecting
medium via the sub-structure of the iron K-line. Indications for transient
flares will only be obtained from analyzing the observed lightcurves on the
gravitational time scale of the accreting supermassive black hole.
| astro-ph | abridged we model the xray reprocessing from a strong corotating flare above an accretion disk in active galactic nuclei we explore the horizontal structure and evolution of the underlying hot spot to obtain the spectral evolution seen by a distant observer we apply a general relativity raytracing technique we concentrate on the energy band around the iron kline where the relativistic effects are most pronounced persistent flares lasting for a significant fraction of the orbital time scale and short transient flares are considered in our timeresolved analysis the spectra recorded by a distant observer depend on the position of the flarespot with respect to the central black hole if the flare duration significantly exceeds the light travel time across the spot then the spot horizontal stratification is unimportant on the other hand if the flare duration is comparable to the light travel time across the spot radius the lightcurves exhibit a typical asymmetry in their time profiles the sequence of dynamical spectra proceeds from more strongly to less strongly ionized reemission at all locations within the spot the spectral intensity increases towards edgeon emission angles revealing the limb brightening effect future xray observatories with significantly larger effective collecting areas will enable to spectroscopically map out the azimuthal irradiation structure of the accretion disk and to localize persistent flares if the hot spot is not located too close to the marginally stable orbit of the black hole it will be possible to probe the reflecting medium via the substructure of the iron kline indications for transient flares will only be obtained from analyzing the observed lightcurves on the gravitational time scale of the accreting supermassive black hole | [['abridged', 'we', 'model', 'the', 'xray', 'reprocessing', 'from', 'a', 'strong', 'corotating', 'flare', 'above', 'an', 'accretion', 'disk', 'in', 'active', 'galactic', 'nuclei', 'we', 'explore', 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709.1357 | The Millennium Galaxy Catalogue: The severe attenuation of bulge flux by
dusty spiral discs | Using the Millennium Galaxy Catalogue we quantify the dependency of the disc
and bulge luminosity functions on galaxy inclination. Using a contemporary dust
model we show that our results are consistent with galaxy discs being optically
thick in their central regions (tau_B^f=3.8+/-0.7). As a consequence the
measured B-band fluxes of bulges can be severely attenuated by 50% to 95%
depending on disc inclination. We argue that a galaxy's optical appearance can
be radically transformed by simply removing the dust, e.g. during cluster
infall, with mid-type galaxies becoming earlier, redder, and more luminous.
Finally we derive the mean photon escape fraction from the integrated galaxy
population over the 0.1micron to 2.1 micron range, and use this to show that
the energy of starlight absorbed by dust (in our model) is in close agreement
with the total far-IR emission.
| astro-ph | using the millennium galaxy catalogue we quantify the dependency of the disc and bulge luminosity functions on galaxy inclination using a contemporary dust model we show that our results are consistent with galaxy discs being optically thick in their central regions tau_bf3807 as a consequence the measured bband fluxes of bulges can be severely attenuated by 50 to 95 depending on disc inclination we argue that a galaxys optical appearance can be radically transformed by simply removing the dust eg during cluster infall with midtype galaxies becoming earlier redder and more luminous finally we derive the mean photon escape fraction from the integrated galaxy population over the 01micron to 21 micron range and use this to show that the energy of starlight absorbed by dust in our model is in close agreement with the total farir emission | [['using', 'the', 'millennium', 'galaxy', 'catalogue', 'we', 'quantify', 'the', 'dependency', 'of', 'the', 'disc', 'and', 'bulge', 'luminosity', 'functions', 'on', 'galaxy', 'inclination', 'using', 'a', 'contemporary', 'dust', 'model', 'we', 'show', 'that', 'our', 'results', 'are', 'consistent', 'with', 'galaxy', 'discs', 'being', 'optically', 'thick', 'in', 'their', 'central', 'regions', 'tau_bf3807', 'as', 'a', 'consequence', 'the', 'measured', 'bband', 'fluxes', 'of', 'bulges', 'can', 'be', 'severely', 'attenuated', 'by', '50', 'to', '95', 'depending', 'on', 'disc', 'inclination', 'we', 'argue', 'that', 'a', 'galaxys', 'optical', 'appearance', 'can', 'be', 'radically', 'transformed', 'by', 'simply', 'removing', 'the', 'dust', 'eg', 'during', 'cluster', 'infall', 'with', 'midtype', 'galaxies', 'becoming', 'earlier', 'redder', 'and', 'more', 'luminous', 'finally', 'we', 'derive', 'the', 'mean', 'photon', 'escape', 'fraction', 'from', 'the', 'integrated', 'galaxy', 'population', 'over', 'the', '01micron', 'to', '21', 'micron', 'range', 'and', 'use', 'this', 'to', 'show', 'that', 'the', 'energy', 'of', 'starlight', 'absorbed', 'by', 'dust', 'in', 'our', 'model', 'is', 'in', 'close', 'agreement', 'with', 'the', 'total', 'farir', 'emission']] | [0.015240952630205463, 0.0961537741994321, -0.07630079866776013, 0.09665855747709215, -0.08015912863672436, -0.02435732874266036, 0.01920293247060138, 0.4736362294814385, -0.1523579402042635, -0.35814535106970546, 0.04141849622572087, -0.2921308410655269, -0.010867298241732094, 0.20876015642692008, -0.07168183336205616, -0.034549756995950115, 0.04073947431136142, -0.14671886300750295, -0.005254891332964797, -0.2948275428703603, 0.3025780130889924, 0.07837092293159324, 0.14564803064636447, -0.04463428763676133, 0.05851562097942566, -0.06375350107897676, -0.09730347111069611, -0.014459695728660068, -0.15989054492857738, 0.06512946080457528, 0.21347025400096112, 0.10597915077671453, 0.19306696241983445, -0.3745132568977116, -0.20123958058299168, 0.0850031591458794, 0.2319973227887899, 0.05551540799548521, -0.04471553581724413, -0.2623771711403285, 0.058553724371663785, -0.2114996805389905, -0.15468970429741175, 0.09771979003733791, 0.03277755885338753, 0.01315242180819897, -0.19848807396449367, 0.16922222005001353, 0.022104262791211058, 0.08673194290809881, -0.10876149745479993, -0.08319605024264413, -0.14728214529767522, 0.03142591328736778, 0.007516932268010671, 0.08410681690935128, 0.2774742084199234, -0.13808467875145758, -0.0023723214313470047, 0.39599495412617486, -0.0989592206576216, -0.03087078899432741, 0.19877999870325713, -0.2266360681515995, -0.10444373644028981, 0.13015338906039045, 0.1603870686427827, 0.07415656077586498, -0.14467023914981195, -0.0012547682216630645, -0.04477532871190787, 0.24687164497770617, 0.046474545293569786, 0.05365159276607301, 0.3584145287407891, 0.057953252905623656, 0.03350876876313979, 0.15074131349426942, -0.21183073418283396, -0.04121510808438282, -0.23178959898787604, -0.06776927047587164, -0.15016855404246598, 0.11229394118623424, -0.17348904585817174, -0.08785439151859678, 0.32305707799188144, 0.13943723417982898, 0.26432595046250806, 0.12213381101965377, 0.32327458137125875, 0.10852710030945566, 0.12898953203693964, 0.14435875861261807, 0.3354636914343299, 0.1389693678853184, 0.05403714612817995, -0.22569472164169008, 0.07732170166855212, -0.025130456774016183] |
709.1358 | Mori-Zwanzig Equations With Time-Dependent Liouvillian | We extend the Mori-Zwanzig equations to the case where the Liouvillian is
time-dependent by way of a Dyson identity due to Holian and Evans. This
extension makes it possible to treat, for example, more general cases of
continuous-wave (cw) or pulsed irradiation in NMR and coherent optics. The
formalism immediately allows for reference frame changes and approximations
based on coherent averaging.
| physics.chem-ph physics.atom-ph | we extend the morizwanzig equations to the case where the liouvillian is timedependent by way of a dyson identity due to holian and evans this extension makes it possible to treat for example more general cases of continuouswave cw or pulsed irradiation in nmr and coherent optics the formalism immediately allows for reference frame changes and approximations based on coherent averaging | [['we', 'extend', 'the', 'morizwanzig', 'equations', 'to', 'the', 'case', 'where', 'the', 'liouvillian', 'is', 'timedependent', 'by', 'way', 'of', 'a', 'dyson', 'identity', 'due', 'to', 'holian', 'and', 'evans', 'this', 'extension', 'makes', 'it', 'possible', 'to', 'treat', 'for', 'example', 'more', 'general', 'cases', 'of', 'continuouswave', 'cw', 'or', 'pulsed', 'irradiation', 'in', 'nmr', 'and', 'coherent', 'optics', 'the', 'formalism', 'immediately', 'allows', 'for', 'reference', 'frame', 'changes', 'and', 'approximations', 'based', 'on', 'coherent', 'averaging']] | [-0.05563255499388712, 0.08967314177813629, -0.11094315341033507, 0.07653628699481488, -0.09420502330952635, -0.15977534452298034, 0.06612996364322801, 0.39070491325110196, -0.2615993260794009, -0.25770721489874027, 0.05620430987134265, -0.21959094964380105, -0.1451909411426944, 0.25682484802867594, -0.06185626104706898, 0.07010539053007961, 0.022997784474864603, 0.0021569942124187945, -0.09754398913840608, -0.1519467844084526, 0.30786576457321646, 0.057803247092912596, 0.23844185404789944, -0.006175569134453932, 0.10506007121875882, 0.10216771144575129, -0.03984385607764125, -0.07759827821067423, -0.06931107518418382, 0.09348058332992272, 0.25869397576898334, 0.06978917835125079, 0.24454409653941792, -0.427333082150047, -0.214815921181192, 0.05997866906012253, 0.1091898834652966, 0.1975885191190173, -0.011379123051544109, -0.28693934973562135, 0.02196349037500719, -0.17495651825641592, -0.18976654659491032, -0.13083104573500653, 0.056297413725405934, 0.020690458787915606, -0.31806776706750195, 0.0689684545660081, 0.08855518874091407, 0.017638441159700355, -0.07982280648720916, -0.003597559684809918, 0.056486006290651855, 0.0373911202691185, -0.003918550869760414, 0.044230071175843474, 0.1435198022130256, -0.06948759087050954, -0.0749701561483865, 0.40203548114125925, -0.08274911598612865, -0.19946298875147478, 0.17979100234418485, -0.1457422191509977, -0.09594308476662264, 0.10082826726138591, 0.09420453471442064, 0.18402332484644526, -0.1721965975438555, 0.1031676858207599, 0.0019145956262946128, 0.14718652920176586, 0.14374802177771925, -0.005844920418652085, 0.11802424231233696, 0.10225892580735187, 0.07396531245321966, 0.15662916865355025, -0.06754671429128696, -0.1324837687512627, -0.28432963558783136, -0.14111299996687496, -0.13626849436356375, 0.10630300920456648, 0.008302763609632773, -0.14203670596083004, 0.40992345797518887, 0.1733331214947005, 0.09401117701393863, 0.005510342353954911, 0.3149943087870876, 0.15583795906665424, 0.021577843371778725, 0.01746194534158955, 0.20891705626466622, 0.22136668544650698, 0.12068349281325937, -0.21384994369776297, -0.005725687462836504, 0.05509306389528016] |
709.1359 | A robust morphological classification of high-redshift galaxies using
support vector machines on seeing limited images. I Method description | We present a new non-parametric method to quantify morphologies of galaxies
based on a particular family of learning machines called support vector
machines. The method, that can be seen as a generalization of the classical CAS
classification but with an unlimited number of dimensions and non-linear
boundaries between decision regions, is fully automated and thus particularly
well adapted to large cosmological surveys. The source code is available for
download at http://www.lesia.obspm.fr/~huertas/galsvm.html To test the method,
we use a seeing limited near-infrared ($K_s$ band, $2,16\mu m$) sample observed
with WIRCam at CFHT at a median redshift of $z\sim0.8$. The machine is trained
with a simulated sample built from a local visually classified sample from the
SDSS chosen in the high-redshift sample's rest-frame (i band, $0.77\mu m$) and
artificially redshifted to match the observing conditions. We use a
12-dimensional volume, including 5 morphological parameters and other
caracteristics of galaxies such as luminosity and redshift. We show that a
qualitative separation in two main morphological types (late type and early
type) can be obtained with an error lower than 20% up to the completeness limit
of the sample ($KAB\sim 22$) which is more than 2 times better that what would
be obtained with a classical C/A classification on the same sample and indeed
comparable to space data. The method is optimized to solve a specific problem,
offering an objective and automated estimate of errors that enables a
straightforward comparison with other surveys.
| astro-ph | we present a new nonparametric method to quantify morphologies of galaxies based on a particular family of learning machines called support vector machines the method that can be seen as a generalization of the classical cas classification but with an unlimited number of dimensions and nonlinear boundaries between decision regions is fully automated and thus particularly well adapted to large cosmological surveys the source code is available for download at httpwwwlesiaobspmfrhuertasgalsvmhtml to test the method we use a seeing limited nearinfrared k_s band 216mu m sample observed with wircam at cfht at a median redshift of zsim08 the machine is trained with a simulated sample built from a local visually classified sample from the sdss chosen in the highredshift samples restframe i band 077mu m and artificially redshifted to match the observing conditions we use a 12dimensional volume including 5 morphological parameters and other caracteristics of galaxies such as luminosity and redshift we show that a qualitative separation in two main morphological types late type and early type can be obtained with an error lower than 20 up to the completeness limit of the sample kabsim 22 which is more than 2 times better that what would be obtained with a classical ca classification on the same sample and indeed comparable to space data the method is optimized to solve a specific problem offering an objective and automated estimate of errors that enables a straightforward comparison with other surveys | [['we', 'present', 'a', 'new', 'nonparametric', 'method', 'to', 'quantify', 'morphologies', 'of', 'galaxies', 'based', 'on', 'a', 'particular', 'family', 'of', 'learning', 'machines', 'called', 'support', 'vector', 'machines', 'the', 'method', 'that', 'can', 'be', 'seen', 'as', 'a', 'generalization', 'of', 'the', 'classical', 'cas', 'classification', 'but', 'with', 'an', 'unlimited', 'number', 'of', 'dimensions', 'and', 'nonlinear', 'boundaries', 'between', 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709.136 | Progress with Particle Flow Calorimetry | One of the most important requirements for a detector at the ILC is good jet
energy resolution. It is widely believed that the particle flow approach to
calorimetry is the key to achieving the ILC goal of a di-jet invariant mass
resolution sigma_m/m < Gamma_Z/m_Z. This paper describes the current
performance of the PandoraPFA particle flow algorithm. For simulated light
quark jets in the Tesla TDR detector, the jet energy resolution achieved is
better than sigma_E/E ~ 3.4% for jet energies in the range 45-250 GeV. This
represents the first demonstration that Particle Flow Calorimetry can reach the
ILC jet energy resolution goals.
| physics.ins-det physics.data-an | one of the most important requirements for a detector at the ilc is good jet energy resolution it is widely believed that the particle flow approach to calorimetry is the key to achieving the ilc goal of a dijet invariant mass resolution sigma_mm gamma_zm_z this paper describes the current performance of the pandorapfa particle flow algorithm for simulated light quark jets in the tesla tdr detector the jet energy resolution achieved is better than sigma_ee 34 for jet energies in the range 45250 gev this represents the first demonstration that particle flow calorimetry can reach the ilc jet energy resolution goals | [['one', 'of', 'the', 'most', 'important', 'requirements', 'for', 'a', 'detector', 'at', 'the', 'ilc', 'is', 'good', 'jet', 'energy', 'resolution', 'it', 'is', 'widely', 'believed', 'that', 'the', 'particle', 'flow', 'approach', 'to', 'calorimetry', 'is', 'the', 'key', 'to', 'achieving', 'the', 'ilc', 'goal', 'of', 'a', 'dijet', 'invariant', 'mass', 'resolution', 'sigma_mm', 'gamma_zm_z', 'this', 'paper', 'describes', 'the', 'current', 'performance', 'of', 'the', 'pandorapfa', 'particle', 'flow', 'algorithm', 'for', 'simulated', 'light', 'quark', 'jets', 'in', 'the', 'tesla', 'tdr', 'detector', 'the', 'jet', 'energy', 'resolution', 'achieved', 'is', 'better', 'than', 'sigma_ee', '34', 'for', 'jet', 'energies', 'in', 'the', 'range', '45250', 'gev', 'this', 'represents', 'the', 'first', 'demonstration', 'that', 'particle', 'flow', 'calorimetry', 'can', 'reach', 'the', 'ilc', 'jet', 'energy', 'resolution', 'goals']] | [-0.06648663996376705, 0.11564980950016453, -0.10330008242127238, 0.10450645649035899, -0.050224370750769666, -0.12058836965802677, -0.08848432714608973, 0.3944811860897711, -0.2148091837310004, -0.35934175906835925, 0.02803740130347789, -0.26618691829356306, 0.06261667038066959, 0.23067771705052798, -0.008663882406390443, 0.1474191344649607, 0.12435365611288164, -0.0027675435792806806, -0.03608265600395294, -0.18241900690755217, 0.24124284140879707, 0.2218282536879106, 0.27646456392748014, 0.11698394919251454, 0.20014992116817407, -0.02145785907502001, 0.0003441072173644694, -0.025753500728810927, -0.12683062266207382, 0.05576642200217715, 0.28362832203381505, 0.077970582716243, 0.19650225355144357, -0.3046027670658374, -0.16204185754165282, 0.07322712280616468, 0.1173787309766785, 0.03173166824200628, -0.051293757368753454, -0.18966912580844092, 0.1334227720009429, -0.20546628480625093, -0.1338999903836877, -0.022739644214624957, -0.06878218682463833, -0.03293617666646724, -0.255460895835517, 0.06473660257131773, 0.019518501923552582, 0.03182226922172977, 0.003893777226782119, -0.11509689424015886, -0.0017347271050497585, 0.031309273901718615, 0.06169236117346706, 0.13010649316545045, 0.2171261255571153, -0.21302903203616794, -0.16421187459966358, 0.4080298809828807, -0.0016362227777753273, -0.1455021052340958, 0.19770673752230192, -0.22767405251839332, -0.12501992821237262, 0.20860377069068503, 0.21708389530338498, 0.08294816647789308, -0.17718201524777605, 0.02133194240266267, -0.001688115640866513, 0.21661822788645418, 0.06427386059064646, 0.018326651086384545, 0.20648106854950668, 0.315837874419379, 0.11813199312939328, 0.0659982766766025, -0.17535478994250298, -0.03782084137581441, -0.37095600733419465, -0.17137189206610226, -0.1380520938962166, 0.03579796193053528, -0.0692275972343145, -0.011941296143495306, 0.4460715691045839, 0.14408656054328442, 0.19207217783800193, -0.0187544904041047, 0.3934441248266197, 0.07418477709633203, 0.06042087173602563, 0.10934011023301556, 0.3396056285318063, 0.10609383580788058, 0.2243139692368366, -0.2280901609254735, 0.012949029355528479, 0.05936130581005496] |
709.1361 | Relaxation times of unstable states in systems with long range
interactions | We consider several models with long-range interactions evolving via
Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean
Field (HMF) model and perturbed HMF models with either global anisotropy or an
on-site potential are studied both analytically and numerically. We find that
in the magnetic phase, the initial zero magnetization state remains stable
above a critical energy and is unstable below it. In the dynamically stable
state, these models exhibit relaxation time scales that increase algebraically
with the number $N$ of particles, indicating the robustness of the
quasistationary state seen in previous studies. In the unstable state, the
corresponding time scale increases logarithmically in $N$.
| cond-mat.stat-mech | we consider several models with longrange interactions evolving via hamiltonian dynamics the microcanonical dynamics of the basic hamiltonian mean field hmf model and perturbed hmf models with either global anisotropy or an onsite potential are studied both analytically and numerically we find that in the magnetic phase the initial zero magnetization state remains stable above a critical energy and is unstable below it in the dynamically stable state these models exhibit relaxation time scales that increase algebraically with the number n of particles indicating the robustness of the quasistationary state seen in previous studies in the unstable state the corresponding time scale increases logarithmically in n | [['we', 'consider', 'several', 'models', 'with', 'longrange', 'interactions', 'evolving', 'via', 'hamiltonian', 'dynamics', 'the', 'microcanonical', 'dynamics', 'of', 'the', 'basic', 'hamiltonian', 'mean', 'field', 'hmf', 'model', 'and', 'perturbed', 'hmf', 'models', 'with', 'either', 'global', 'anisotropy', 'or', 'an', 'onsite', 'potential', 'are', 'studied', 'both', 'analytically', 'and', 'numerically', 'we', 'find', 'that', 'in', 'the', 'magnetic', 'phase', 'the', 'initial', 'zero', 'magnetization', 'state', 'remains', 'stable', 'above', 'a', 'critical', 'energy', 'and', 'is', 'unstable', 'below', 'it', 'in', 'the', 'dynamically', 'stable', 'state', 'these', 'models', 'exhibit', 'relaxation', 'time', 'scales', 'that', 'increase', 'algebraically', 'with', 'the', 'number', 'n', 'of', 'particles', 'indicating', 'the', 'robustness', 'of', 'the', 'quasistationary', 'state', 'seen', 'in', 'previous', 'studies', 'in', 'the', 'unstable', 'state', 'the', 'corresponding', 'time', 'scale', 'increases', 'logarithmically', 'in', 'n']] | [-0.19895382311616866, 0.26311970887859987, -0.07017658684975994, 0.08715639504678722, 0.04988777923468008, -0.14391218928207275, -0.007284255812542056, 0.3637188065726802, -0.2911698832802633, -0.30970013297145377, 0.06437871230322481, -0.2681530673696027, -0.10043770300426502, 0.12991043757471554, 0.09352822730071703, 0.052871177218995, 0.043861914355799836, 0.09152968560855063, -0.06094949921364633, -0.24617585515436488, 0.30889971825329343, 0.044378432858173014, 0.25796993235829024, 0.009061300300088062, 0.041469643889697934, -0.015524528123315354, 0.09477666476829294, 0.061591873068432765, -0.1406741743993271, -0.011720409678330398, 0.1868977514405519, 0.023606936420964182, 0.2474727099497785, -0.445790094710043, -0.23691635233578537, 0.1273050129299386, 0.1740437129046768, 0.1363288506539868, -0.02986640603015779, -0.2704750638507869, 0.0350452866602935, -0.14404138659988092, -0.19850762329890198, -0.10239999345339008, 0.03436756251436957, 0.030733444743332856, -0.22230446770927817, 0.15420661951011083, 0.0776120033027288, 0.056576710343712346, -0.14679405821557595, -0.0941408489971369, -0.08995814731274292, 0.0782297929630281, 0.08470335942461735, 0.034971162320975704, 0.13279866431576182, -0.1498438938134262, -0.08166150769816255, 0.30485941598824456, -0.09637156146675137, -0.1808200637932937, 0.19613642800810202, -0.13766756523751988, -0.09262982170445677, 0.16008468595512412, 0.1287603773888341, 0.12963384474223516, -0.08023453924699493, 0.12274396366204733, 0.016431423378581146, 0.18662327622889346, -0.03898720412936835, 0.0027968792974035132, 0.20147612761214095, 0.17899883154533663, 0.07400462703717837, 0.1431843368863722, -0.0706727156380712, -0.22616348422642024, -0.25172383758845684, -0.08414369255286765, -0.17633662797194324, 0.06932692178788613, -0.10120091914544695, -0.17860689956062245, 0.40628295108886825, 0.173954304843649, 0.23123672043131488, 0.06473233306712915, 0.26293048039430156, 0.1433488834596608, -0.002226527332205255, 0.11790559226031995, 0.2679898509281283, 0.1338823779556408, 0.10612143172864925, -0.2873175475298304, 0.05141286870035264, 0.017191909227239073] |
709.1362 | Quantum-field dynamics of expanding and contracting Bose-Einstein
condensates | We analyze the dynamics of quantum statistics in a harmonically trapped
Bose-Einstein condensate, whose two-body interaction strength is controlled via
a Feshbach resonance. From an initially non-interacting coherent state, the
quantum field undergoes Kerr squeezing, which can be qualitatively described
with a single mode model. To render the effect experimentally accessible, we
propose a homodyne scheme, based on two hyperfine components, which converts
the quadrature squeezing into number squeezing. The scheme is numerically
demonstrated using a two-component Hartree-Fock-Bogoliubov formalism.
| cond-mat.other | we analyze the dynamics of quantum statistics in a harmonically trapped boseeinstein condensate whose twobody interaction strength is controlled via a feshbach resonance from an initially noninteracting coherent state the quantum field undergoes kerr squeezing which can be qualitatively described with a single mode model to render the effect experimentally accessible we propose a homodyne scheme based on two hyperfine components which converts the quadrature squeezing into number squeezing the scheme is numerically demonstrated using a twocomponent hartreefockbogoliubov formalism | [['we', 'analyze', 'the', 'dynamics', 'of', 'quantum', 'statistics', 'in', 'a', 'harmonically', 'trapped', 'boseeinstein', 'condensate', 'whose', 'twobody', 'interaction', 'strength', 'is', 'controlled', 'via', 'a', 'feshbach', 'resonance', 'from', 'an', 'initially', 'noninteracting', 'coherent', 'state', 'the', 'quantum', 'field', 'undergoes', 'kerr', 'squeezing', 'which', 'can', 'be', 'qualitatively', 'described', 'with', 'a', 'single', 'mode', 'model', 'to', 'render', 'the', 'effect', 'experimentally', 'accessible', 'we', 'propose', 'a', 'homodyne', 'scheme', 'based', 'on', 'two', 'hyperfine', 'components', 'which', 'converts', 'the', 'quadrature', 'squeezing', 'into', 'number', 'squeezing', 'the', 'scheme', 'is', 'numerically', 'demonstrated', 'using', 'a', 'twocomponent', 'hartreefockbogoliubov', 'formalism']] | [-0.17475840261889786, 0.2754268232820323, -0.11798303015677471, 0.019601855441762864, -0.0005934695842899853, -0.21932723083757336, 0.032995380321222866, 0.36771613647100293, -0.23625971570233756, -0.20520297265788423, -0.05416798618286141, -0.21748145471645308, -0.10243395414745694, 0.2121875787984957, 0.06730189787878219, 0.08153076360261516, 0.04343144736795014, 0.02925821668998916, -0.021390952735762053, -0.20891010404057517, 0.3333052448173867, -0.007703438333436092, 0.30599017377612714, 0.029516651047558726, 0.13510967777523247, 0.02974481842452233, 0.13065559574980526, -0.013740649952293857, -0.11675166035118172, 0.05144549997617738, 0.1886118213282132, 0.021730112118198523, 0.25134895760801773, -0.41208342421516964, -0.19894736165864557, 0.09972269556048928, 0.21015932067935472, 0.2622342291553328, -0.014256346135258769, -0.39603672294488435, -0.10695257505897103, -0.23366579962776432, -0.14044616695587772, -0.17975761332325166, -0.04308288067408331, -0.016296016205620916, -0.30528521976327594, 0.10091734844366018, 0.006640749656347723, 0.05180198824198186, -0.028643486782601927, 0.0014285011735709408, 0.019970868870356602, -0.005701482407984477, -0.10425921916943987, 0.008116723545178582, 0.1911412417605708, -0.11474813882827381, -0.11064921846448243, 0.3634998410368409, -0.13932085769321723, -0.22322026244069956, 0.11168373638139212, -0.12226852204037618, 0.012322400914670168, 0.14378766203299165, 0.13842232162250748, 0.11097585969262674, -0.16120846818283766, 0.033157359384375334, -0.042644463314474385, 0.24192962769560422, 0.062231511346217766, 0.07339633936416122, 0.26875910839608197, 0.1536698883658723, -0.006431219189466843, 0.25498844431330087, -0.15000554988502607, -0.18533916975359752, -0.258689307536977, -0.08717698578195406, -0.2707381285089687, 0.05054095279000982, 0.006778717795504799, -0.14956277480372523, 0.4219458778892589, 0.13176388039454062, 0.19685359777811962, -0.06122319164237927, 0.3528778453982329, 0.19764592537444226, 0.021319401155732855, 0.028089596565718515, 0.3081992101513698, 0.2043954557326587, 0.03385092972931039, -0.3376424920633199, -0.03519709509078272, 0.07258615136453056] |
709.1363 | Electron-ion recombination of Si IV forming Si III: Storage-ring
measurement and multiconfiguration Dirac-Fock calculations | The electron-ion recombination rate coefficient for Si IV forming Si III was
measured at the heavy-ion storage-ring TSR. The experimental electron-ion
collision energy range of 0-186 eV encompassed the 2p(6) nl n'l' dielectronic
recombination (DR) resonances associated with 3s to nl core excitations, 2s
2p(6) 3s nl n'l' resonances associated with 2s to nl (n=3,4) core excitations,
and 2p(5) 3s nl n'l' resonances associated with 2p to nl (n=3,...,infinity)
core excitations. The experimental DR results are compared with theoretical
calculations using the multiconfiguration Dirac-Fock (MCDF) method for DR via
the 3s to 3p n'l' and 3s to 3d n'l' (both n'=3,...,6) and 2p(5) 3s 3l n'l'
(n'=3,4) capture channels. Finally, the experimental and theoretical plasma DR
rate coefficients for Si IV forming Si III are derived and compared with
previously available results.
| physics.atom-ph astro-ph | the electronion recombination rate coefficient for si iv forming si iii was measured at the heavyion storagering tsr the experimental electronion collision energy range of 0186 ev encompassed the 2p6 nl nl dielectronic recombination dr resonances associated with 3s to nl core excitations 2s 2p6 3s nl nl resonances associated with 2s to nl n34 core excitations and 2p5 3s nl nl resonances associated with 2p to nl n3infinity core excitations the experimental dr results are compared with theoretical calculations using the multiconfiguration diracfock mcdf method for dr via the 3s to 3p nl and 3s to 3d nl both n36 and 2p5 3s 3l nl n34 capture channels finally the experimental and theoretical plasma dr rate coefficients for si iv forming si iii are derived and compared with previously available results | [['the', 'electronion', 'recombination', 'rate', 'coefficient', 'for', 'si', 'iv', 'forming', 'si', 'iii', 'was', 'measured', 'at', 'the', 'heavyion', 'storagering', 'tsr', 'the', 'experimental', 'electronion', 'collision', 'energy', 'range', 'of', '0186', 'ev', 'encompassed', 'the', '2p6', 'nl', 'nl', 'dielectronic', 'recombination', 'dr', 'resonances', 'associated', 'with', '3s', 'to', 'nl', 'core', 'excitations', '2s', '2p6', '3s', 'nl', 'nl', 'resonances', 'associated', 'with', '2s', 'to', 'nl', 'n34', 'core', 'excitations', 'and', '2p5', '3s', 'nl', 'nl', 'resonances', 'associated', 'with', '2p', 'to', 'nl', 'n3infinity', 'core', 'excitations', 'the', 'experimental', 'dr', 'results', 'are', 'compared', 'with', 'theoretical', 'calculations', 'using', 'the', 'multiconfiguration', 'diracfock', 'mcdf', 'method', 'for', 'dr', 'via', 'the', '3s', 'to', '3p', 'nl', 'and', '3s', 'to', '3d', 'nl', 'both', 'n36', 'and', '2p5', '3s', '3l', 'nl', 'n34', 'capture', 'channels', 'finally', 'the', 'experimental', 'and', 'theoretical', 'plasma', 'dr', 'rate', 'coefficients', 'for', 'si', 'iv', 'forming', 'si', 'iii', 'are', 'derived', 'and', 'compared', 'with', 'previously', 'available', 'results']] | [-0.04320637987507152, 0.13350208137070632, 0.15561410808893106, 0.10170726919944846, 0.03460524892007918, -0.2416660665456234, 0.03371933830736688, 0.3510558559125616, -0.1737332081391995, -0.30268379646346316, -0.09142853840048076, -0.38779102337639065, 0.04318195736286309, 0.129480415011422, 0.18828233533880126, 0.04962113616945407, 0.029773288998283617, -0.12792135060956802, -0.045003294432891236, -0.1460520954987475, 0.2528019749012043, 0.11930427105940936, 0.1999206770609581, 0.12424211426574083, -0.12366180352951961, -0.06325720624024234, 0.019292522271568992, -0.014202634899926778, -0.17190694018968697, 0.11153090084753646, 0.31460927401754635, 0.12638659712872716, 0.13755776045865287, -0.41915770287390886, -0.13609066402951953, -0.052624515906502384, 0.19833459067407228, 0.14349011556451557, -0.0034937283294346495, -0.3575004621885205, 0.05096237374227921, -0.17381928562549234, 0.0019295089700408564, -0.048012281782242636, 0.1235203230113701, 0.07033614528486291, -0.37071398145853335, 0.12889713701038472, 0.0020513833440015563, 0.01658523693552573, -0.11342293118617235, -0.23682976239503056, -0.09763264360674123, -0.06413088672446045, -0.061949432550268316, 0.031540949100216154, 0.10769500837213437, -0.04733760322209533, -0.11567308814869127, 0.4111800557784452, -0.06927340337162383, -0.04125339062955543, 0.13364260127405345, -0.16676357714814766, -0.1150947034479837, 0.24214969972105882, 0.1024956883189894, 0.09450026924672131, 0.06356039855856704, 0.10391056671416928, 0.08169862375957251, 0.25628104365167725, 0.09926553424589961, 0.1023440047536927, 0.07479367029803399, 0.09368891041381071, -0.08233619421962222, -0.007217373799369137, -0.1812280838049856, -0.011492459071473083, -0.2759764189369806, -0.12161807302840566, -0.09489382297966543, 0.028580076621049118, 0.031130307734937707, -0.08103114576523285, 0.35497179896151293, -0.002703459151373565, 0.23112431724506025, -0.016257313243646657, 0.2599073726619871, 0.18779783941208178, 0.006793658032245536, 0.026299850169199567, 0.2320741090838236, 0.1559747503039548, 0.11497569471626108, -0.3758254844041271, 0.008768429787729988, 0.059360830845553] |
709.1364 | The process gg->WW as a probe into the EWSB mechanism | We present the first estimate of the gluon-gluon fusion process, gg->4f, in
the high energy domain as a probe of the electroweak symmetry breaking
mechanism (EWSB). We consider the exact matrix element at
$O(\alpha_s\alpha_{em}^2)$, and we include all irreducible background coming
from qq->4f. Purely leptonic final states, pp->llvv, are numerically
investigated. We find that this channel is extremely sensitive to the regime of
the interaction between gauge bosons. It can thus be associated to the
traditionally used vector boson scattering (VBS) to improve the analysis of the
EWSB physics.
| hep-ph | we present the first estimate of the gluongluon fusion process gg4f in the high energy domain as a probe of the electroweak symmetry breaking mechanism ewsb we consider the exact matrix element at oalpha_salpha_em2 and we include all irreducible background coming from qq4f purely leptonic final states ppllvv are numerically investigated we find that this channel is extremely sensitive to the regime of the interaction between gauge bosons it can thus be associated to the traditionally used vector boson scattering vbs to improve the analysis of the ewsb physics | [['we', 'present', 'the', 'first', 'estimate', 'of', 'the', 'gluongluon', 'fusion', 'process', 'gg4f', 'in', 'the', 'high', 'energy', 'domain', 'as', 'a', 'probe', 'of', 'the', 'electroweak', 'symmetry', 'breaking', 'mechanism', 'ewsb', 'we', 'consider', 'the', 'exact', 'matrix', 'element', 'at', 'oalpha_salpha_em2', 'and', 'we', 'include', 'all', 'irreducible', 'background', 'coming', 'from', 'qq4f', 'purely', 'leptonic', 'final', 'states', 'ppllvv', 'are', 'numerically', 'investigated', 'we', 'find', 'that', 'this', 'channel', 'is', 'extremely', 'sensitive', 'to', 'the', 'regime', 'of', 'the', 'interaction', 'between', 'gauge', 'bosons', 'it', 'can', 'thus', 'be', 'associated', 'to', 'the', 'traditionally', 'used', 'vector', 'boson', 'scattering', 'vbs', 'to', 'improve', 'the', 'analysis', 'of', 'the', 'ewsb', 'physics']] | [-0.09034678195329274, 0.21355070241124313, -0.07677610752117985, 0.14593992445094472, -0.08411500383825864, -0.13272075100308833, 0.03856080978670541, 0.35899378061294557, -0.2973316267132759, -0.2492078400490915, 0.09504587661666686, -0.2538313814164961, -0.07437427952022785, 0.08597288017763811, 0.06763932706021211, 0.05576066356152296, 0.04619731472202522, 0.019332137462847374, -0.05069796518860933, -0.19770343494601547, 0.34347547319005517, 0.04990155979004853, 0.2628003902514191, 0.09501417494543335, 0.09507216534805005, 0.036556633498848363, -0.031833764450515015, -0.10804590576273554, -0.09551177109524896, 0.07887324457371826, 0.23268006705363994, 0.0631975636625772, 0.14087119783987018, -0.39097394261728313, -0.1656215392272262, 0.15411388770786716, 0.17539315329426353, 0.1754355366286986, -0.05589995594722602, -0.3180340644191293, 0.10234827715081765, -0.20478375864982168, -0.1100123353261391, -0.09363594999372521, -0.052668105936883126, -0.09149850867688655, -0.32425074704429685, 0.08655660911737119, -0.010923167931682923, -0.00010945071630618152, -0.03928473836687558, -0.10895671145442654, -0.059946104626664345, 0.08882575000855414, 0.1145041971176397, 0.02799176078508882, 0.14435751390616025, -0.2045827758964151, -0.13105168076341642, 0.4187763935612405, -0.0640187719508129, -0.18990489355124096, 0.21116656326921657, -0.1466619380256709, -0.14301094188190558, 0.15094764331246124, 0.22744635496945942, 0.07083368305774296, -0.1418025850373156, 0.13380035138346583, -0.0029612842563758878, 0.13005742838277537, 0.007058195638306001, 0.06757038922925644, 0.21128732713268084, 0.16827025834251852, 0.011237096720758606, 0.1356350891333183, -0.07691810461213155, -0.07335791553589789, -0.39936170220265493, -0.12660164905794183, -0.1472293979008956, 0.030211423610008375, -0.04309560786230791, -0.10749481134664486, 0.3856189866495483, 0.17705849546610433, 0.21689611631171668, -0.014138851057299796, 0.27733292604303533, 0.1302876301205662, 0.050920869119684485, 0.022910084323409727, 0.3361323555602747, 0.16172210035078666, 0.07576459715252414, -0.25526306729161125, 0.013336614327614798, 0.09767883604063707] |
709.1365 | Four-point functions of different-weight operators in the AdS/CFT
correspondence | We calculate four-point correlation functions of two weight-2 and two
weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in
supergravity approximation. By the AdS/CFT conjecture, these operators are dual
to AdS supergravity scalar fields s_2 and s_3 with mass m^2 = -4 and m^2 = -3
respectively. This is the first non-trivial four-point function of mixed-weight
operators of lowest conformal dimensions.
We show that the supergravity-induced four-point function splits into a
"free" and a "quantum" part, where the quantum contribution obeys non-trivial
constraints coming from the insertion procedure in the gauge theory, in
particular, it depends on only one function of the conformal cross-ratios.
| hep-th | we calculate fourpoint correlation functions of two weight2 and two weight3 12bps operators in mathcaln4 sym in the large n limit in supergravity approximation by the adscft conjecture these operators are dual to ads supergravity scalar fields s_2 and s_3 with mass m2 4 and m2 3 respectively this is the first nontrivial fourpoint function of mixedweight operators of lowest conformal dimensions we show that the supergravityinduced fourpoint function splits into a free and a quantum part where the quantum contribution obeys nontrivial constraints coming from the insertion procedure in the gauge theory in particular it depends on only one function of the conformal crossratios | [['we', 'calculate', 'fourpoint', 'correlation', 'functions', 'of', 'two', 'weight2', 'and', 'two', 'weight3', '12bps', 'operators', 'in', 'mathcaln4', 'sym', 'in', 'the', 'large', 'n', 'limit', 'in', 'supergravity', 'approximation', 'by', 'the', 'adscft', 'conjecture', 'these', 'operators', 'are', 'dual', 'to', 'ads', 'supergravity', 'scalar', 'fields', 's_2', 'and', 's_3', 'with', 'mass', 'm2', '4', 'and', 'm2', '3', 'respectively', 'this', 'is', 'the', 'first', 'nontrivial', 'fourpoint', 'function', 'of', 'mixedweight', 'operators', 'of', 'lowest', 'conformal', 'dimensions', 'we', 'show', 'that', 'the', 'supergravityinduced', 'fourpoint', 'function', 'splits', 'into', 'a', 'free', 'and', 'a', 'quantum', 'part', 'where', 'the', 'quantum', 'contribution', 'obeys', 'nontrivial', 'constraints', 'coming', 'from', 'the', 'insertion', 'procedure', 'in', 'the', 'gauge', 'theory', 'in', 'particular', 'it', 'depends', 'on', 'only', 'one', 'function', 'of', 'the', 'conformal', 'crossratios']] | [-0.1576489899718367, 0.20521370891262503, -0.032350515129555966, 0.09616024746541299, -0.023729489917647752, -0.13018566612884694, -0.04620397101982734, 0.2841325996023621, -0.1495767488217383, -0.2337589535916991, 0.07025174745792231, -0.34020748719636934, -0.2034012692291107, 0.11252222760060035, 0.02043505491889721, 0.05664576018484784, -0.042720364265180395, 0.06525602685881085, -0.15010178925277776, -0.2848624453660758, 0.36731033378244177, -0.08182203661257803, 0.24829464939345294, 0.1039741608432914, 0.10321323357650317, 0.053540094778416494, -0.0030130365995836316, -0.03585539755009699, -0.1112031402713625, 0.10545455962054286, 0.22010052262568006, 0.08899681793078415, 0.12513630223624847, -0.4311135258416043, -0.1379002014850723, 0.0791908906745341, 0.1594941905635756, 0.08232123300195764, 0.038310644927882026, -0.21673663113010572, 0.05683480677943604, -0.16507652029395103, -0.13522736639738558, -0.05129275579626361, 0.017431062153157068, -0.11448133865590482, -0.2846289875725394, 0.10158454435968808, 0.007231204776212061, 0.003329675334195296, -0.04942624323645278, -0.10048191582637966, -0.08228566099469568, 0.11793144105696211, 0.1170561100315193, 0.07914656678707722, 0.10951512949723824, -0.20545604162822095, -0.12570491545507229, 0.28843808779492974, -0.09470217729754307, -0.24629133472255632, 0.1064157602422889, -0.22406250087306925, -0.20383439764526545, 0.05694998084914451, 0.10039209861618777, 0.1869340143486054, -0.1124361411248352, 0.2543251043728863, -0.044137870144172045, 0.13360890120669616, 0.14310569498304496, 0.0474121470880859, 0.20181636814502815, 0.036805982388756875, 0.0700150484752193, 0.20054265419843004, 0.006635600789997946, -0.09444734674202752, -0.4454449426163645, -0.139914204676946, -0.16249398113566213, 0.12093435270784825, -0.19579559206156807, -0.18860340161322087, 0.40118553441967447, 0.07673718882399365, 0.1932230285715823, 0.08662389933734256, 0.21623597125289962, 0.16256025223479167, 0.14017973368640477, 0.06694698490330256, 0.22667463642417215, 0.18557032569101556, 0.03181879200707829, -0.2503801352759896, -0.1668978129221382, 0.20604536849685817] |
709.1366 | Multiwavelength modeling of TeV AGN observed by HESS | The High Energy Stereoscopic System (H.E.S.S.) experiment, a ground-based
gamma-ray Cherenkov telescope array located in Namibia, has now detected many
extragalactic objects, which redshifts range from z=0.00183 up to z=0.2,
possibly more. With the increasing performances of Cherenkov telescopes, it now
becomes possible to probe these objects at small timescales in gamma-ray,
allowing the study of regions thought to be very close to the central
supermassive black holes. Furthermore, H.E.S.S. has confirmed a gamma-ray
emission from M87, which is thus the first extragalactic source seen at the TeV
range that is not a blazar.
Among blazars, TeV BL Lacs are the most challenging objects to test the jet
emission models and to shed light on particle acceleration mechanisms. The
study of blazars with H.E.S.S. also revealed various temporal behaviors among
them. Some objects presents a highly variable X-ray flux with small variation
of the gamma-ray, while others show the inverse behavior. The interpretation of
such differences is puzzling.
Observations at very high energies also bring indirect measurements of the
infrared extragalactic background light (EBL). The interpretation of gamma-ray
emission of radiogalaxies such as M87 in terms of misaligned blazars and the
understanding of the properties of the EBL represent new challenges brought by
H.E.S.S. observations of extragalactic sources.
| astro-ph | the high energy stereoscopic system hess experiment a groundbased gammaray cherenkov telescope array located in namibia has now detected many extragalactic objects which redshifts range from z000183 up to z02 possibly more with the increasing performances of cherenkov telescopes it now becomes possible to probe these objects at small timescales in gammaray allowing the study of regions thought to be very close to the central supermassive black holes furthermore hess has confirmed a gammaray emission from m87 which is thus the first extragalactic source seen at the tev range that is not a blazar among blazars tev bl lacs are the most challenging objects to test the jet emission models and to shed light on particle acceleration mechanisms the study of blazars with hess also revealed various temporal behaviors among them some objects presents a highly variable xray flux with small variation of the gammaray while others show the inverse behavior the interpretation of such differences is puzzling observations at very high energies also bring indirect measurements of the infrared extragalactic background light ebl the interpretation of gammaray emission of radiogalaxies such as m87 in terms of misaligned blazars and the understanding of the properties of the ebl represent new challenges brought by hess observations of extragalactic sources | [['the', 'high', 'energy', 'stereoscopic', 'system', 'hess', 'experiment', 'a', 'groundbased', 'gammaray', 'cherenkov', 'telescope', 'array', 'located', 'in', 'namibia', 'has', 'now', 'detected', 'many', 'extragalactic', 'objects', 'which', 'redshifts', 'range', 'from', 'z000183', 'up', 'to', 'z02', 'possibly', 'more', 'with', 'the', 'increasing', 'performances', 'of', 'cherenkov', 'telescopes', 'it', 'now', 'becomes', 'possible', 'to', 'probe', 'these', 'objects', 'at', 'small', 'timescales', 'in', 'gammaray', 'allowing', 'the', 'study', 'of', 'regions', 'thought', 'to', 'be', 'very', 'close', 'to', 'the', 'central', 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709.1367 | Feedback from the first stars and galaxies and its influence on
structure formation | Once the first sources have formed, their mass deposition, energy injection
and emitted radiation can deeply affect the subsequent galaxy formation process
and influence the evolution of the IGM via a number of so-called feedback
effects. The word 'feedback' is by far one of the most used in modern
cosmology, where it is applied to a vast range of situations and astrophysical
objects. Generally speaking, the concept of feedback invokes a back reaction of
a process on itself or on the causes that have produced it. The character of
feedback can be either negative or positive. Here, I will review the present
status of investigation of the feedback effects from the first stars and
galaxies.
| astro-ph | once the first sources have formed their mass deposition energy injection and emitted radiation can deeply affect the subsequent galaxy formation process and influence the evolution of the igm via a number of socalled feedback effects the word feedback is by far one of the most used in modern cosmology where it is applied to a vast range of situations and astrophysical objects generally speaking the concept of feedback invokes a back reaction of a process on itself or on the causes that have produced it the character of feedback can be either negative or positive here i will review the present status of investigation of the feedback effects from the first stars and galaxies | [['once', 'the', 'first', 'sources', 'have', 'formed', 'their', 'mass', 'deposition', 'energy', 'injection', 'and', 'emitted', 'radiation', 'can', 'deeply', 'affect', 'the', 'subsequent', 'galaxy', 'formation', 'process', 'and', 'influence', 'the', 'evolution', 'of', 'the', 'igm', 'via', 'a', 'number', 'of', 'socalled', 'feedback', 'effects', 'the', 'word', 'feedback', 'is', 'by', 'far', 'one', 'of', 'the', 'most', 'used', 'in', 'modern', 'cosmology', 'where', 'it', 'is', 'applied', 'to', 'a', 'vast', 'range', 'of', 'situations', 'and', 'astrophysical', 'objects', 'generally', 'speaking', 'the', 'concept', 'of', 'feedback', 'invokes', 'a', 'back', 'reaction', 'of', 'a', 'process', 'on', 'itself', 'or', 'on', 'the', 'causes', 'that', 'have', 'produced', 'it', 'the', 'character', 'of', 'feedback', 'can', 'be', 'either', 'negative', 'or', 'positive', 'here', 'i', 'will', 'review', 'the', 'present', 'status', 'of', 'investigation', 'of', 'the', 'feedback', 'effects', 'from', 'the', 'first', 'stars', 'and', 'galaxies']] | [-0.0685546506560691, 0.1690313611422544, -0.08483349001262863, 0.0704812440736809, -0.10530018174980321, -0.057174614505113464, 0.05345991847267293, 0.3374032276439602, -0.25752627037809755, -0.30711206788116174, 0.10550510798601191, -0.2766947434243301, -0.094351019633367, 0.21660784288188037, -0.008275788937411878, -0.045661813517748985, 0.05554430462096049, 0.016755781207314652, 0.0023208987934555374, -0.25114278168943915, 0.40054850446303253, 0.11337602652771317, 0.210446738269504, 0.04013354058134491, 0.10272007288041768, -0.04482769988598707, -0.07434560015149738, 0.006005490697798845, -0.09545685555235453, 0.038853622033544206, 0.2001422093735765, 0.17173214491213792, 0.30463108996172317, -0.43659650165101754, -0.2517916936508339, 0.09925858267866398, 0.1664924345201934, 0.12213739931745374, -0.1271446521869739, -0.2368227706655212, 0.055010829963113954, -0.18425878292435538, -0.06734500575567717, 0.040145724176672164, 0.010186393210745376, 0.0257026943930016, -0.22212284815133265, 0.061932278868904254, 0.0756343664505276, -0.0076328143639409025, -0.060273835179902126, -0.07308220209796791, -0.0420443937546857, 0.15405012291815617, 0.014385523885468264, 0.02157926939696114, 0.22468064701913493, -0.16358402095249167, -0.08591258336344491, 0.42196976208816406, -0.027668465416797478, -0.14437775442619685, 0.20643806143704316, -0.17456316911089031, -0.11813235596713165, 0.13668682273963223, 0.19861877033001055, 0.12955837691526698, -0.1391679194877329, 0.016887488261209397, 0.03030603207728785, 0.15891478798635628, 0.034949791803956035, 0.03631969426528287, 0.26747193254287477, 0.15160025138731884, -0.0019954872074658455, 0.10760299634573091, -0.0952808241704074, -0.06542916452795591, -0.27029061148186095, -0.11874405599158744, -0.14886995262425878, 0.10006416043489362, -0.03129645247295823, -0.13984013672300574, 0.35940413249089664, 0.1339379410320164, 0.19824903981517192, -0.019423962920985145, 0.31449183293658756, 0.10682195156266022, 0.08300895715415801, 0.0494163068416326, 0.28934033132441667, 0.13455246696856035, 0.0925944916661019, -0.23682416088514677, 0.1397094372700414, 0.0014522530852169122] |
709.1368 | Diffractive Excitation in DIS and pp Collisions | We have in earlier papers presented an extension of Mueller's dipole cascade
model, which includes subleading effects from energy conservation and running
coupling as well as colour suppressed effects from pomeron loops via a ``dipole
swing''. The model was applied to describe the total cross sections in pp and
gamma*p collisions. In this paper we present a number of improvements of the
model, in particular related to the confinement mechanism. A consistent
treatment of dipole evolution and dipole--dipole interactions is achieved by
replacing the infinite range Coulomb potential by a screened potential, which
further improves the frame-independence of the model. We then apply the model
to elastic scattering and diffractive excitation, where we specifically study
the effects of different sources for fluctuations. In our formalism we can take
into account contributions from all different sources, from the dipole cascade
evolution, the dipole--dipole scattering, from the impact-parameter dependence,
and from the initial photon and proton wavefunctions. Good agreement is
obtained with data from the Tevatron and from HERA, and we also present some
predictions for the LHC.
| hep-ph | we have in earlier papers presented an extension of muellers dipole cascade model which includes subleading effects from energy conservation and running coupling as well as colour suppressed effects from pomeron loops via a dipole swing the model was applied to describe the total cross sections in pp and gammap collisions in this paper we present a number of improvements of the model in particular related to the confinement mechanism a consistent treatment of dipole evolution and dipoledipole interactions is achieved by replacing the infinite range coulomb potential by a screened potential which further improves the frameindependence of the model we then apply the model to elastic scattering and diffractive excitation where we specifically study the effects of different sources for fluctuations in our formalism we can take into account contributions from all different sources from the dipole cascade evolution the dipoledipole scattering from the impactparameter dependence and from the initial photon and proton wavefunctions good agreement is obtained with data from the tevatron and from hera and we also present some predictions for the lhc | [['we', 'have', 'in', 'earlier', 'papers', 'presented', 'an', 'extension', 'of', 'muellers', 'dipole', 'cascade', 'model', 'which', 'includes', 'subleading', 'effects', 'from', 'energy', 'conservation', 'and', 'running', 'coupling', 'as', 'well', 'as', 'colour', 'suppressed', 'effects', 'from', 'pomeron', 'loops', 'via', 'a', 'dipole', 'swing', 'the', 'model', 'was', 'applied', 'to', 'describe', 'the', 'total', 'cross', 'sections', 'in', 'pp', 'and', 'gammap', 'collisions', 'in', 'this', 'paper', 'we', 'present', 'a', 'number', 'of', 'improvements', 'of', 'the', 'model', 'in', 'particular', 'related', 'to', 'the', 'confinement', 'mechanism', 'a', 'consistent', 'treatment', 'of', 'dipole', 'evolution', 'and', 'dipoledipole', 'interactions', 'is', 'achieved', 'by', 'replacing', 'the', 'infinite', 'range', 'coulomb', 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0.035129517991497945] |
709.1369 | On the Wu metric in unbounded domains | We discuss the properties of the Wu pseudometric and present counterexamples
for its upper semicontinuity that answers the question posed by Jarnicki and
Pflug. We also give formulae for the Wu pseudometric in elementary Reinhardt
domains.
| math.CV | we discuss the properties of the wu pseudometric and present counterexamples for its upper semicontinuity that answers the question posed by jarnicki and pflug we also give formulae for the wu pseudometric in elementary reinhardt domains | [['we', 'discuss', 'the', 'properties', 'of', 'the', 'wu', 'pseudometric', 'and', 'present', 'counterexamples', 'for', 'its', 'upper', 'semicontinuity', 'that', 'answers', 'the', 'question', 'posed', 'by', 'jarnicki', 'and', 'pflug', 'we', 'also', 'give', 'formulae', 'for', 'the', 'wu', 'pseudometric', 'in', 'elementary', 'reinhardt', 'domains']] | [-0.13902718563460642, 0.0454596354953133, -0.059009108575992286, 0.14357710054092523, -0.11242494980494182, -0.13959387476400784, 0.11687342915037233, 0.3313799637318071, -0.25117540711330044, -0.2662525205459032, 0.119989420167662, -0.2685962511588716, -0.18770207899473867, 0.23299558833241463, -0.20996248939385018, 0.039793541006575756, 0.016671985969878733, -0.026450609063936606, -0.05753374223261037, -0.3326604734692309, 0.39481696476125056, -0.0103419998065672, 0.14908226492116228, 0.23612376881970298, 0.053257499226472445, -0.019601078264208302, -0.03650119799810151, -0.059848365684350334, -0.32017543589305814, 0.15607077070388994, 0.2355139460414648, 0.18010286474600434, 0.1788289915615072, -0.35390044081335265, -0.13053369337123716, 0.10549702741102213, 0.07945372248327152, 0.01362394986467229, -0.05554001038480136, -0.3535149910280274, 0.10403961108790503, -0.07948811228076617, -0.15631512132111108, -0.1489430486690253, 0.15391211765300897, 0.02587395663269692, -0.18789685553767616, 0.052301098714653764, 0.2537989425472915, 0.07381505008783683, -0.14053913974526544, -0.10352098440570343, 0.029315248891685367, 0.028974464344274666, 0.021758886623299785, 0.024974087899964716, 0.005642986623570323, -0.06434435749219523, -0.18486171262338758, 0.28492767322394585, -0.03834672225639224, -0.23801486985757947, 0.1472533825888402, -0.11211808011608405, -0.16489935149891405, -0.002446080530515044, 0.11999474341670673, 0.14739715049250257, -0.08256015015972985, 0.23761358069087793, -0.1377818149048835, 0.0134798985802465, 0.17334913625381887, 0.03290474778299944, 0.02729551002590193, 0.051698253826341696, 0.1353297939705145, 0.2072942024614248, 0.04134012944996357, 0.01586434946188496, -0.2884639610225956, -0.19813542835052228, -0.10840178288829823, 0.1056823077508145, -0.06426306229857598, -0.1407198343012068, 0.3864165498978562, 0.1597371458645082, 0.23481633234769106, 0.13101545431547695, 0.1706250929273665, 0.08815980138671067, -0.10327961537728293, 0.12623102926752633, 0.18276487579310519, 0.21394846556682345, 0.08583731400034998, -0.11697814944717619, 0.05123214327937199, 0.23215402691211137] |
709.137 | Self-interacting polynomials | We introduce a class of dynamical systems of algebraic origin, consisting of
self-interacting irreducible polynomials over a field. A polynomial f is made
to act on a polynomial g by mapping the roots of g. This action identifies a
new polynomial h, as the minimal polynomial of the displaced roots. By allowing
several polynomials to act on one another, we obtain a self-interacting system
with a rich dynamics, which affords a fresh viewpoint on some algebraic
dynamical constructs. We identify the basic invariant sets, and study in some
detail the case of quadratic polynomials. We perform some experiments on
self-interacting polynomials over finite fields.
| math.DS | we introduce a class of dynamical systems of algebraic origin consisting of selfinteracting irreducible polynomials over a field a polynomial f is made to act on a polynomial g by mapping the roots of g this action identifies a new polynomial h as the minimal polynomial of the displaced roots by allowing several polynomials to act on one another we obtain a selfinteracting system with a rich dynamics which affords a fresh viewpoint on some algebraic dynamical constructs we identify the basic invariant sets and study in some detail the case of quadratic polynomials we perform some experiments on selfinteracting polynomials over finite fields | [['we', 'introduce', 'a', 'class', 'of', 'dynamical', 'systems', 'of', 'algebraic', 'origin', 'consisting', 'of', 'selfinteracting', 'irreducible', 'polynomials', 'over', 'a', 'field', 'a', 'polynomial', 'f', 'is', 'made', 'to', 'act', 'on', 'a', 'polynomial', 'g', 'by', 'mapping', 'the', 'roots', 'of', 'g', 'this', 'action', 'identifies', 'a', 'new', 'polynomial', 'h', 'as', 'the', 'minimal', 'polynomial', 'of', 'the', 'displaced', 'roots', 'by', 'allowing', 'several', 'polynomials', 'to', 'act', 'on', 'one', 'another', 'we', 'obtain', 'a', 'selfinteracting', 'system', 'with', 'a', 'rich', 'dynamics', 'which', 'affords', 'a', 'fresh', 'viewpoint', 'on', 'some', 'algebraic', 'dynamical', 'constructs', 'we', 'identify', 'the', 'basic', 'invariant', 'sets', 'and', 'study', 'in', 'some', 'detail', 'the', 'case', 'of', 'quadratic', 'polynomials', 'we', 'perform', 'some', 'experiments', 'on', 'selfinteracting', 'polynomials', 'over', 'finite', 'fields']] | [-0.22668802675504524, 0.09406767680775374, -0.12581011396832764, 0.03110599908261345, -0.13862941352328143, -0.12629113161193134, 0.005301172791335445, 0.29123897920810404, -0.31111933239914763, -0.21176986994060615, 0.0757117834795141, -0.24030399351165846, -0.17692870344035327, 0.2210878534332061, -0.029219597143730007, 0.01191836385987699, 0.022668753616296902, 0.10809714832262565, -0.08398674475924614, -0.3192158510904007, 0.3371172764231093, -0.020559690825533695, 0.11998442021341851, -0.004247189888981386, 0.17913638667848247, -0.0048310508315738, -0.03143631084374367, -0.001982606808619144, -0.14242280963270998, 0.1154629828569551, 0.2485385310316745, 0.11199339762186775, 0.27159594599372494, -0.37623117772790676, -0.1839881535494127, 0.20745032369338262, 0.12857355863357392, 0.06274634123474243, -0.05240174227555354, -0.27438936976026385, 0.046909307072592825, -0.14837489483089975, -0.17118810923868574, -0.08991047330737974, 0.015364221674434912, 0.019402484425182383, -0.26598618366719723, -0.01666849188040942, 0.044287243471234645, 0.14783487767160225, 0.002074362916083863, -0.09744001463024268, 0.03656169173952479, 0.0457070627867674, -0.04941592494644563, 0.03284635420557326, 0.10159741232816416, -0.10889035555793761, -0.12040418538694772, 0.3983576956849832, -0.10138144477969036, -0.25929096615156877, 0.20068602516459158, -0.14816718864200923, -0.2040799974123589, 0.10852388327475637, 0.18019625838272846, 0.1409947097999975, -0.09722281842102977, 0.16856723682128807, -0.14257424850410855, 0.09533407457526594, 0.08062430813991411, 0.005265553813212766, 0.19990765275388883, 0.08781667703834291, 0.059927744701361425, 0.20808902218525943, 0.03264741971641062, -0.08097638704706557, -0.32766680200942433, -0.15049149142578244, -0.14017218124354258, 0.11066568653936534, -0.12772584485341773, -0.20213207543397751, 0.4748966808681591, 0.09813080757605629, 0.2109215869792164, 0.09638525193552666, 0.21165524462524515, 0.0809490978258859, 0.05545518102231794, 0.020011538604194357, 0.09815720183514014, 0.19409488472424877, 0.0009205833484884351, -0.18356582639255345, 0.017724802744431563, 0.14377645536800487] |
709.1371 | On the Dipole Swing and the Search for Frame Independence in the Dipole
Model | Small-x evolution in QCD is conveniently described by Mueller's dipole model
which, however, does not include saturation effects in a way consistent with
boost invariance. In this paper we first show that the recently studied zero
and one dimensional toy models exhibiting saturation and explicit boost
invariance can be interpreted in terms positive definite k-> k+1 dipole
vertices. Such k-> k+1 vertices can in the full model be generated by combining
the usual dipole splitting with k-1 simultaneous dipole swings. We show that,
for a system consisting of N dipoles, one needs to combine the dipole splitting
with at most N-1 simultaneous swings in order to generate all colour
correlations induced by the multiple dipole interactions.
| hep-ph | smallx evolution in qcd is conveniently described by muellers dipole model which however does not include saturation effects in a way consistent with boost invariance in this paper we first show that the recently studied zero and one dimensional toy models exhibiting saturation and explicit boost invariance can be interpreted in terms positive definite k k1 dipole vertices such k k1 vertices can in the full model be generated by combining the usual dipole splitting with k1 simultaneous dipole swings we show that for a system consisting of n dipoles one needs to combine the dipole splitting with at most n1 simultaneous swings in order to generate all colour correlations induced by the multiple dipole interactions | [['smallx', 'evolution', 'in', 'qcd', 'is', 'conveniently', 'described', 'by', 'muellers', 'dipole', 'model', 'which', 'however', 'does', 'not', 'include', 'saturation', 'effects', 'in', 'a', 'way', 'consistent', 'with', 'boost', 'invariance', 'in', 'this', 'paper', 'we', 'first', 'show', 'that', 'the', 'recently', 'studied', 'zero', 'and', 'one', 'dimensional', 'toy', 'models', 'exhibiting', 'saturation', 'and', 'explicit', 'boost', 'invariance', 'can', 'be', 'interpreted', 'in', 'terms', 'positive', 'definite', 'k', 'k1', 'dipole', 'vertices', 'such', 'k', 'k1', 'vertices', 'can', 'in', 'the', 'full', 'model', 'be', 'generated', 'by', 'combining', 'the', 'usual', 'dipole', 'splitting', 'with', 'k1', 'simultaneous', 'dipole', 'swings', 'we', 'show', 'that', 'for', 'a', 'system', 'consisting', 'of', 'n', 'dipoles', 'one', 'needs', 'to', 'combine', 'the', 'dipole', 'splitting', 'with', 'at', 'most', 'n1', 'simultaneous', 'swings', 'in', 'order', 'to', 'generate', 'all', 'colour', 'correlations', 'induced', 'by', 'the', 'multiple', 'dipole', 'interactions']] | [-0.13778758333225188, 0.17127105018830505, -0.04728451363013752, 0.049820087155616234, -0.0689210283112359, -0.13706619532554057, -0.027746936473955305, 0.3868815978218255, -0.22013617180546763, -0.3093467006331374, 0.008837545665928388, -0.2779185570945064, -0.11132587075377975, 0.09731219555973879, 0.012057974304329476, -0.014609334471531147, 0.007846859771485344, 0.04829521976403314, -0.04838784444266288, -0.21139788030092765, 0.26928066916699556, 0.0029151290976281823, 0.24759619691457344, 0.04524401613864405, 0.09478664039313023, 0.031673103199613376, 0.03345171632726902, 0.07795164528591879, -0.055360392256512445, 0.08050880701971594, 0.22406855393502814, 0.041075269121612454, 0.16994734882409201, -0.4387278987359705, -0.1994897460179596, 0.11930776809759695, 0.1687336918689182, 0.1379856957164834, -0.017610380853574466, -0.22946957708938562, 0.08735406331934742, -0.16900654710379653, -0.15680308218900885, -0.12544663296209585, 0.00984584156359578, 0.0019642917247657695, -0.34514440071431857, 0.05907920934661324, 0.09164267431910487, 0.04288414257161062, 0.003869753638041559, -0.16642213413985607, -0.021399220686550414, 0.08533894616893717, 0.034346375381574035, 0.06633265952655949, 0.07472358531206204, -0.11824418466914785, -0.16231886357077044, 0.3825065166296052, -0.13743113147411978, -0.17060606489921437, 0.11969963465977845, -0.21277987598722545, -0.15111677031482346, 0.15923609608204248, 0.14554989372444307, 0.12496893688361964, -0.14917588005532864, 0.09091991788196098, 0.00010858028966548114, 0.15394775777380784, 0.09912914352427268, 0.009857501280654607, 0.24125880559360416, 0.10292645214639347, 0.04260245350928142, 0.13605100989686966, -0.03044860281756726, -0.06586375522652063, -0.3262756160136256, -0.05533400405166221, -0.1727482013751608, 0.0755784660197668, -0.08634076202022321, -0.09712476770650467, 0.3582105511992142, 0.12904660346474225, 0.24341628000397106, 0.00992276764510938, 0.2977767388561162, 0.13674419378893898, 0.10574759256520212, 0.08475235846407454, 0.24905259835790713, 0.12179482841246023, 0.040140456503963674, -0.2433622258209527, 0.022831105896079076, 0.06419937539010726] |
709.1372 | The reflecting surface of the MAGIC-II Telescope | The MAGIC Collaboration is building a second telescope, MAGIC II, improving
the design of the current MAGIC Telescope. MAGIC II is being built at 85 m of
distance from MAGIC I, and will also feature a huge reflecting surface of ~240
m$^2$ of area. One of the improvement is the design for the mirror of MAGIC II,
that are lighter and larger, being square of 1 m of side and weighting around
15 kg. For the development and production of the new mirrors, two different
techniques, both reliable and affordable in price, were selected: the diamond
milling of aluminium surfaces and the cold slumping of thin glass panes. As
tests for the second one are still ongoing, we present a description of the
diamond milling technique, and its application and performance to the produced
mirrors.
| astro-ph | the magic collaboration is building a second telescope magic ii improving the design of the current magic telescope magic ii is being built at 85 m of distance from magic i and will also feature a huge reflecting surface of 240 m2 of area one of the improvement is the design for the mirror of magic ii that are lighter and larger being square of 1 m of side and weighting around 15 kg for the development and production of the new mirrors two different techniques both reliable and affordable in price were selected the diamond milling of aluminium surfaces and the cold slumping of thin glass panes as tests for the second one are still ongoing we present a description of the diamond milling technique and its application and performance to the produced mirrors | [['the', 'magic', 'collaboration', 'is', 'building', 'a', 'second', 'telescope', 'magic', 'ii', 'improving', 'the', 'design', 'of', 'the', 'current', 'magic', 'telescope', 'magic', 'ii', 'is', 'being', 'built', 'at', '85', 'm', 'of', 'distance', 'from', 'magic', 'i', 'and', 'will', 'also', 'feature', 'a', 'huge', 'reflecting', 'surface', 'of', '240', 'm2', 'of', 'area', 'one', 'of', 'the', 'improvement', 'is', 'the', 'design', 'for', 'the', 'mirror', 'of', 'magic', 'ii', 'that', 'are', 'lighter', 'and', 'larger', 'being', 'square', 'of', '1', 'm', 'of', 'side', 'and', 'weighting', 'around', '15', 'kg', 'for', 'the', 'development', 'and', 'production', 'of', 'the', 'new', 'mirrors', 'two', 'different', 'techniques', 'both', 'reliable', 'and', 'affordable', 'in', 'price', 'were', 'selected', 'the', 'diamond', 'milling', 'of', 'aluminium', 'surfaces', 'and', 'the', 'cold', 'slumping', 'of', 'thin', 'glass', 'panes', 'as', 'tests', 'for', 'the', 'second', 'one', 'are', 'still', 'ongoing', 'we', 'present', 'a', 'description', 'of', 'the', 'diamond', 'milling', 'technique', 'and', 'its', 'application', 'and', 'performance', 'to', 'the', 'produced', 'mirrors']] | [-0.0610465739077578, 0.17765880992153177, -0.028611177119805858, 0.027101499762998343, -0.04880428142431709, -0.16888163069401074, 0.04152722501333941, 0.39740734710185616, -0.17920955125311458, -0.374775162504779, 0.1776960487882779, -0.3136042086062608, -0.054509332148289236, 0.21719922207778802, -0.04659965568808494, 0.02370998453320849, 0.06258787264254081, -0.0025190962719972487, -0.08246634799331702, -0.2385860891978222, 0.26539766701559225, 0.1257210351423257, 0.26630085260538316, 0.04710709650103968, 0.10245313789971448, -0.02098198113963008, -0.009947931185726904, -0.00467238869793989, -0.08656574123203797, 0.18615689051932552, 0.19538544381071848, 0.11098680693173298, 0.2405204737972882, -0.3805495518639132, -0.11573868578092919, 0.06916793575855316, 0.0856845547410625, 0.07224322292539809, -0.05435482006933954, -0.2547702677444451, 0.06952318462146514, -0.15273565394045027, -0.16403467281273118, 0.024660249521817872, 0.014669498125160182, 0.03953367354072355, -0.2239185706854591, -0.045109958184615676, 0.052210925159441236, 0.08910591788072553, -0.04678585152917852, -0.18979963760960986, -0.013139078329765685, 0.12874251123069338, -0.006413603130796993, 0.023881272172244887, 0.13516273227071873, -0.13432015086593174, -0.08471150096436894, 0.3523596687587323, -0.03998846452277913, -0.05777021027687523, 0.16160219437830772, -0.1613450973984544, -0.10416821946079532, 0.1581791992885647, 0.15440451179941495, 0.11121732234885848, -0.11468854225068181, 0.04296023009206962, 0.0017736991091320913, 0.166948957665375, 0.10269323591211879, 0.01963222001644748, 0.19759963731867847, 0.26318004373461007, 0.07944164446003184, 0.14177445657206356, -0.19729651935329592, -0.03695032035724984, -0.32143070372166455, -0.19788981393945437, -0.18748226338928498, 0.031583471232335326, -0.07339168371270514, -0.1286379542891626, 0.35894540183297874, 0.0546677902823797, 0.16598701174974578, -0.012242068407229252, 0.2759193740785122, 0.0034856728924852276, 0.10724215367291537, 0.022551111909733326, 0.2946500978234258, 0.1111860173099019, 0.08259460282936709, -0.20185697550100654, 0.0027155508287250996, 0.0026893506412980733] |
709.1373 | Parallax and Luminosity Measurements of an L Subdwarf | We present the first parallax and luminosity measurements for an L subdwarf,
the sdL7 2MASS J05325346+8246465. Observations conducted over three years by
the USNO infrared astrometry program yield an astrometric distance of
26.7+/-1.2 pc and a proper motion of 2.6241+/-0.0018"/yr. Combined with
broadband spectral and photometric measurements, we determine a luminosity of
log(Lbol/Lsun) = -4.24+/-0.06 and Teff = 1730+/-90 K (the latter assuming an
age of 5-10 Gyr), comparable to mid-type L field dwarfs. Comparison of the
luminosity of 2MASS J05325346+8246465 to theoretical evolutionary models
indicates that its mass is just below the sustained hydrogen burning limit, and
is therefore a brown dwarf. Its kinematics indicate a ~110 Myr, retrograde
Galactic orbit which is both eccentric (3 <~ R <~ 8.5 kpc) and extends well
away from the plane (Delta_Z = +/-2 kpc), consistent with membership in the
inner halo population. The relatively bright J-band magnitude of 2MASS
J05325346+8246465 implies significantly reduced opacity in the 1.2 micron
region, consistent with inhibited condensate formation as previously proposed.
Its as yet unknown subsolar metallicity remains the primary limitation in
constraining its mass; determination of both parameters would provide a
powerful test of interior and evolutionary models for low-mass stars and brown
dwarfs.
| astro-ph | we present the first parallax and luminosity measurements for an l subdwarf the sdl7 2mass j053253468246465 observations conducted over three years by the usno infrared astrometry program yield an astrometric distance of 26712 pc and a proper motion of 2624100018yr combined with broadband spectral and photometric measurements we determine a luminosity of loglbollsun 424006 and teff 173090 k the latter assuming an age of 510 gyr comparable to midtype l field dwarfs comparison of the luminosity of 2mass j053253468246465 to theoretical evolutionary models indicates that its mass is just below the sustained hydrogen burning limit and is therefore a brown dwarf its kinematics indicate a 110 myr retrograde galactic orbit which is both eccentric 3 r 85 kpc and extends well away from the plane delta_z 2 kpc consistent with membership in the inner halo population the relatively bright jband magnitude of 2mass j053253468246465 implies significantly reduced opacity in the 12 micron region consistent with inhibited condensate formation as previously proposed its as yet unknown subsolar metallicity remains the primary limitation in constraining its mass determination of both parameters would provide a powerful test of interior and evolutionary models for lowmass stars and brown dwarfs | [['we', 'present', 'the', 'first', 'parallax', 'and', 'luminosity', 'measurements', 'for', 'an', 'l', 'subdwarf', 'the', 'sdl7', '2mass', 'j053253468246465', 'observations', 'conducted', 'over', 'three', 'years', 'by', 'the', 'usno', 'infrared', 'astrometry', 'program', 'yield', 'an', 'astrometric', 'distance', 'of', '26712', 'pc', 'and', 'a', 'proper', 'motion', 'of', '2624100018yr', 'combined', 'with', 'broadband', 'spectral', 'and', 'photometric', 'measurements', 'we', 'determine', 'a', 'luminosity', 'of', 'loglbollsun', '424006', 'and', 'teff', '173090', 'k', 'the', 'latter', 'assuming', 'an', 'age', 'of', '510', 'gyr', 'comparable', 'to', 'midtype', 'l', 'field', 'dwarfs', 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709.1374 | Lithium abundances in the old open cluster NGC 3960 from VLT/FLAMES
observations | Old open clusters are very useful targets to investigate mechanisms
responsible for lithium (Li) depletion during the main sequence. Comparison of
the Li abundances in clusters of different age allows us to understand the
efficiency of the Li destruction process. Our goal is the determination of
membership and Li abundance in a sample of candidate members of the open
cluster NGC 3960 (age ~1 Gyr), with the aim to fill the gap between 0.6 and 2
Gyr in the empirical description of the behavior of the average Li abundance as
a function of the stellar age. We use VLT/FLAMES Giraffe spectra to determine
the radial velocities and thus the membership of a sample of 113
photometrically selected candidate cluster members. From the analysis of the Li
line we derive Li abundances for both cluster members and non-members. 39 stars
have radial velocity consistent with membership, with an expected fraction of
contaminating field stars of about 20%. Li is detected in 29 of the RV members;
we consider these stars as cluster members, while we make the reasonable
assumption that the remaining 10 RV members without Li, are among the
contaminating stars. Li abundances of the stars hotter than about 6000 K are
similar to those of stars in the Hyades, while they are slightly smaller for
cooler stars. This confirms that NGC 3960 is older than the Hyades. The average
Li abundance of stars cooler than about 6000 K indicates that the Li Pop. I
plateau might start already at ~1 Gyr rather than 2 Gyr that is the upper limit
previously derived in the literature. We also find that the fraction of field
stars with high Li abundance (>1.5) is about one third of the whole sample,
which is in agreement with previous estimates. The fraction of contaminating
field stars is consistent with that previously derived by us from photometry.
| astro-ph | old open clusters are very useful targets to investigate mechanisms responsible for lithium li depletion during the main sequence comparison of the li abundances in clusters of different age allows us to understand the efficiency of the li destruction process our goal is the determination of membership and li abundance in a sample of candidate members of the open cluster ngc 3960 age 1 gyr with the aim to fill the gap between 06 and 2 gyr in the empirical description of the behavior of the average li abundance as a function of the stellar age we use vltflames giraffe spectra to determine the radial velocities and thus the membership of a sample of 113 photometrically selected candidate cluster members from the analysis of the li line we derive li abundances for both cluster members and nonmembers 39 stars have radial velocity consistent with membership with an expected fraction of contaminating field stars of about 20 li is detected in 29 of the rv members we consider these stars as cluster members while we make the reasonable assumption that the remaining 10 rv members without li are among the contaminating stars li abundances of the stars hotter than about 6000 k are similar to those of stars in the hyades while they are slightly smaller for cooler stars this confirms that ngc 3960 is older than the hyades the average li abundance of stars cooler than about 6000 k indicates that the li pop i plateau might start already at 1 gyr rather than 2 gyr that is the upper limit previously derived in the literature we also find that the fraction of field stars with high li abundance 15 is about one third of the whole sample which is in agreement with previous estimates the fraction of contaminating field stars is consistent with that previously derived by us from photometry | [['old', 'open', 'clusters', 'are', 'very', 'useful', 'targets', 'to', 'investigate', 'mechanisms', 'responsible', 'for', 'lithium', 'li', 'depletion', 'during', 'the', 'main', 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709.1375 | Toward a Deterministic Model of Planetary Formation IV: Effects of
Type-I Migration | In a further development of a deterministic planet-formation model (Ida & Lin
2004), we consider the effect of type-I migration of protoplanetary embryos due
to their tidal interaction with their nascent disks. During the early embedded
phase of protostellar disks, although embryos rapidly emerge in regions
interior to the ice line, uninhibited type-I migration leads to their efficient
self-clearing. But, embryos continue to form from residual planetesimals at
increasingly large radii, repeatedly migrate inward, and provide a main channel
of heavy element accretion onto their host stars. During the advanced stages of
disk evolution (a few Myr), the gas surface density declines to values
comparable to or smaller than that of the minimum mass nebula model and type-I
migration is no longer an effective disruption mechanism for mars-mass embryos.
Over wide ranges of initial disk surface densities and type-I migration
efficiency, the surviving population of embryos interior to the ice line has a
total mass several times that of the Earth. With this reservoir, there is an
adequate inventory of residual embryos to subsequently assemble into rocky
planets similar to those around the Sun. But, the onset of efficient gas
accretion requires the emergence and retention of cores, more massive than a
few M_earth, prior to the severe depletion of the disk gas. The formation
probability of gas giant planets and hence the predicted mass and semimajor
axis distributions of extrasolar gas giants are sensitively determined by the
strength of type-I migration. We suggest that the observed fraction of
solar-type stars with gas giant planets can be reproduced only if the actual
type-I migration time scale is an order of magnitude longer than that deduced
from linear theories.
| astro-ph | in a further development of a deterministic planetformation model ida lin 2004 we consider the effect of typei migration of protoplanetary embryos due to their tidal interaction with their nascent disks during the early embedded phase of protostellar disks although embryos rapidly emerge in regions interior to the ice line uninhibited typei migration leads to their efficient selfclearing but embryos continue to form from residual planetesimals at increasingly large radii repeatedly migrate inward and provide a main channel of heavy element accretion onto their host stars during the advanced stages of disk evolution a few myr the gas surface density declines to values comparable to or smaller than that of the minimum mass nebula model and typei migration is no longer an effective disruption mechanism for marsmass embryos over wide ranges of initial disk surface densities and typei migration efficiency the surviving population of embryos interior to the ice line has a total mass several times that of the earth with this reservoir there is an adequate inventory of residual embryos to subsequently assemble into rocky planets similar to those around the sun but the onset of efficient gas accretion requires the emergence and retention of cores more massive than a few m_earth prior to the severe depletion of the disk gas the formation probability of gas giant planets and hence the predicted mass and semimajor axis distributions of extrasolar gas giants are sensitively determined by the strength of typei migration we suggest that the observed fraction of solartype stars with gas giant planets can be reproduced only if the actual typei migration time scale is an order of magnitude longer than that deduced from linear theories | [['in', 'a', 'further', 'development', 'of', 'a', 'deterministic', 'planetformation', 'model', 'ida', 'lin', '2004', 'we', 'consider', 'the', 'effect', 'of', 'typei', 'migration', 'of', 'protoplanetary', 'embryos', 'due', 'to', 'their', 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709.1376 | Time-reversal properties in the coupling of quantum angular momenta | After a synoptic panorama about some still unsolved foundational problems
involving time-reversal, we show that the \emph{double time-reversal
superselection rule} of Nonrelativistic Quantum Mechanics is redundant. We then
analyze which, among the symmetries of the Clebsch-Gordan coefficients, may be
inferred through time-reversal considerations. Finally, we show how Coupling
Theory allows to improve our comprehension of the fact that, in presence of
hidden symmetries, Wigner's Theorem concerning Kramers degeneration cannot be
applied, by analyzing a set of Z uncoupled massive particles, both in the case
in which they are bosons of spin zero and in the case in which they are
fermions of spin 1/2, subjected to a Keplerian force's field and considering
the coupling of the 2Z quantum angular momenta resulting by the hidden SO(4)
symmetry owed to the fact that, apart from the rotational SO(3) symmetry
responsible of the conservation of the angular momentum, the Laplace-Runge-Lenz
vector is also conserved.
| quant-ph math-ph math.MP | after a synoptic panorama about some still unsolved foundational problems involving timereversal we show that the emphdouble timereversal superselection rule of nonrelativistic quantum mechanics is redundant we then analyze which among the symmetries of the clebschgordan coefficients may be inferred through timereversal considerations finally we show how coupling theory allows to improve our comprehension of the fact that in presence of hidden symmetries wigners theorem concerning kramers degeneration cannot be applied by analyzing a set of z uncoupled massive particles both in the case in which they are bosons of spin zero and in the case in which they are fermions of spin 12 subjected to a keplerian forces field and considering the coupling of the 2z quantum angular momenta resulting by the hidden so4 symmetry owed to the fact that apart from the rotational so3 symmetry responsible of the conservation of the angular momentum the laplacerungelenz vector is also conserved | [['after', 'a', 'synoptic', 'panorama', 'about', 'some', 'still', 'unsolved', 'foundational', 'problems', 'involving', 'timereversal', 'we', 'show', 'that', 'the', 'emphdouble', 'timereversal', 'superselection', 'rule', 'of', 'nonrelativistic', 'quantum', 'mechanics', 'is', 'redundant', 'we', 'then', 'analyze', 'which', 'among', 'the', 'symmetries', 'of', 'the', 'clebschgordan', 'coefficients', 'may', 'be', 'inferred', 'through', 'timereversal', 'considerations', 'finally', 'we', 'show', 'how', 'coupling', 'theory', 'allows', 'to', 'improve', 'our', 'comprehension', 'of', 'the', 'fact', 'that', 'in', 'presence', 'of', 'hidden', 'symmetries', 'wigners', 'theorem', 'concerning', 'kramers', 'degeneration', 'can', 'not', 'be', 'applied', 'by', 'analyzing', 'a', 'set', 'of', 'z', 'uncoupled', 'massive', 'particles', 'both', 'in', 'the', 'case', 'in', 'which', 'they', 'are', 'bosons', 'of', 'spin', 'zero', 'and', 'in', 'the', 'case', 'in', 'which', 'they', 'are', 'fermions', 'of', 'spin', '12', 'subjected', 'to', 'a', 'keplerian', 'forces', 'field', 'and', 'considering', 'the', 'coupling', 'of', 'the', '2z', 'quantum', 'angular', 'momenta', 'resulting', 'by', 'the', 'hidden', 'so4', 'symmetry', 'owed', 'to', 'the', 'fact', 'that', 'apart', 'from', 'the', 'rotational', 'so3', 'symmetry', 'responsible', 'of', 'the', 'conservation', 'of', 'the', 'angular', 'momentum', 'the', 'laplacerungelenz', 'vector', 'is', 'also', 'conserved']] | [-0.1635325563869341, 0.22509254822139874, -0.0792030813141824, 0.07042434075265191, -0.09392680011469086, -0.1419192478949155, 0.027107689674410625, 0.3135810089726491, -0.282418323956479, -0.27007498883176595, 0.06215456609022926, -0.2505557144476801, -0.1288680690095613, 0.1363064645005292, -0.02827546117508686, 0.03078544859492563, 0.014630623026996067, 0.030156834976208444, -0.0946015689620062, -0.23415386194583812, 0.31945596733988313, -0.0027113344572410967, 0.25447998877835315, 0.045081311588690276, 0.10032606344382082, 0.028107986417844108, 0.011184901366696545, -0.028861302265125375, -0.06164333712853189, 0.08010046769088244, 0.22666009423004366, 0.05435300613508413, 0.18101841828473353, -0.4293333845072132, -0.1632449309889987, 0.09611283325351619, 0.16887512627842002, 0.16603962889042267, -0.039704590868878814, -0.3195280351241021, 0.05273883318295702, -0.15888287770978518, -0.17948816686341734, -0.12956676492161168, -0.00998464615871566, -0.033079618501975154, -0.22196515337456826, 0.1265432104285681, 0.12301820269356922, 0.07080863747059514, -0.056799993915008506, -0.07410451610217263, -0.11422328248093101, 0.07641397840128966, 0.1381026130065469, -0.00689528616586406, 0.11048033969793898, -0.1646084390629671, -0.1477640712829797, 0.4420528543414548, -0.014753418565975918, -0.2512810901052466, 0.1475999924956628, -0.14549687658559138, -0.18096841841409178, 0.10558520242767899, 0.12319451024584276, 0.09564081107352027, -0.13541051944948299, 0.1263628790184157, -0.08031678351414341, 0.12839174973563977, 0.06213028717626769, 0.060795029683504254, 0.25343823761948825, 0.036489718723858366, 0.03147187280946558, 0.0998493928238627, -0.07551226189274243, -0.1633312566208779, -0.3398559480403109, -0.1559696404774992, -0.19042277895526863, 0.129963541037413, -0.06963899299042073, -0.0732952192131626, 0.37315107388023633, 0.1579581601047386, 0.17910813255002722, 0.016904954454634878, 0.23734652593204947, 0.12121217169097738, 0.105624958692045, 0.05299580168426282, 0.268713208633256, 0.19461102140638487, 0.06347826245167341, -0.26458989743198463, -0.028056954713783375, 0.06220263695898833] |
709.1377 | Confinement of the Sun's interior magnetic field: some exact
boundary-layer solutions | High-latitude laminar confinement of the Sun's interior magnetic field is
shown to be possible, as originally proposed by Gough and McIntyre (1998) but
contrary to a recent claim by Brun and Zahn (A&A 2006). Mean downwelling as
weak as 2x10^-6cm/s -- gyroscopically pumped by turbulent stresses in the
overlying convection zone and/or tachocline -- can hold the field in
advective-diffusive balance within a confinement layer of thickness scale ~
1.5Mm ~ 0.002 x (solar radius) while transmitting a retrograde torque to the
Ferraro-constrained interior. The confinement layer sits at the base of the
high-latitude tachocline, near the top of the radiative envelope and just above
the `tachopause' marking the top of the helium settling layer. A family of
exact, laminar, frictionless, axisymmetric confinement-layer solutions is
obtained for uniform downwelling in the limit of strong rotation and
stratification. A scale analysis shows that the flow is dynamically stable and
the assumption of laminar flow realistic. The solution remains valid for
downwelling values of the order of 10^-5cm/s but not much larger. This suggests
that the confinement layer may be unable to accept a much larger mass
throughput. Such a restriction would imply an upper limit on possible internal
field strengths, perhaps of the order of hundreds of gauss, and would have
implications also for ventilation and lithium burning.
The solutions have interesting chirality properties not mentioned in the
paper owing to space restrictions, but described at
http://www.atmos-dynamics.damtp.cam.ac.uk/people/mem/papers/SQBO/solarfigure.html
| astro-ph | highlatitude laminar confinement of the suns interior magnetic field is shown to be possible as originally proposed by gough and mcintyre 1998 but contrary to a recent claim by brun and zahn aa 2006 mean downwelling as weak as 2x106cms gyroscopically pumped by turbulent stresses in the overlying convection zone andor tachocline can hold the field in advectivediffusive balance within a confinement layer of thickness scale 15mm 0002 x solar radius while transmitting a retrograde torque to the ferraroconstrained interior the confinement layer sits at the base of the highlatitude tachocline near the top of the radiative envelope and just above the tachopause marking the top of the helium settling layer a family of exact laminar frictionless axisymmetric confinementlayer solutions is obtained for uniform downwelling in the limit of strong rotation and stratification a scale analysis shows that the flow is dynamically stable and the assumption of laminar flow realistic the solution remains valid for downwelling values of the order of 105cms but not much larger this suggests that the confinement layer may be unable to accept a much larger mass throughput such a restriction would imply an upper limit on possible internal field strengths perhaps of the order of hundreds of gauss and would have implications also for ventilation and lithium burning the solutions have interesting chirality properties not mentioned in the paper owing to space restrictions but described at httpwwwatmosdynamicsdamtpcamacukpeoplemempaperssqbosolarfigurehtml | [['highlatitude', 'laminar', 'confinement', 'of', 'the', 'suns', 'interior', 'magnetic', 'field', 'is', 'shown', 'to', 'be', 'possible', 'as', 'originally', 'proposed', 'by', 'gough', 'and', 'mcintyre', '1998', 'but', 'contrary', 'to', 'a', 'recent', 'claim', 'by', 'brun', 'and', 'zahn', 'aa', '2006', 'mean', 'downwelling', 'as', 'weak', 'as', '2x106cms', 'gyroscopically', 'pumped', 'by', 'turbulent', 'stresses', 'in', 'the', 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709.1378 | Chaos in the thermal regime for pinned manifolds via functional RG | The statistical correlations of two copies of a d-dimensional elastic
manifold embedded in slightly different frozen disorder are studied using the
Functional Renormalization Group to one-loop accuracy, order O(eps = 4-d).
Determining the initial (short scale) growth of mutual correlations, i.e. chaos
exponents, requires control of a system of coupled differential (FRG) equations
(for the renormalized mutual and self disorder correlators) in a very delicate
boundary layer regime. Some progress is achieved at non-zero temperature, where
linear analysis can be used. A growth exponent a is defined from center of mass
fluctuations in a quadratic potential. In the case where temperature is
marginal, e.g. a periodic manifold in d=2, we demonstrate analytically and
numerically that a = eps (1/3 - 1/(2 log(1/T)) with interesting and unexpected
logarithmic corrections at low T. For short range (random bond) disorder our
analysis indicates that a = 0.083346(6) eps, with large finite size
corrections.
| cond-mat.dis-nn | the statistical correlations of two copies of a ddimensional elastic manifold embedded in slightly different frozen disorder are studied using the functional renormalization group to oneloop accuracy order oeps 4d determining the initial short scale growth of mutual correlations ie chaos exponents requires control of a system of coupled differential frg equations for the renormalized mutual and self disorder correlators in a very delicate boundary layer regime some progress is achieved at nonzero temperature where linear analysis can be used a growth exponent a is defined from center of mass fluctuations in a quadratic potential in the case where temperature is marginal eg a periodic manifold in d2 we demonstrate analytically and numerically that a eps 13 12 log1t with interesting and unexpected logarithmic corrections at low t for short range random bond disorder our analysis indicates that a 00833466 eps with large finite size corrections | [['the', 'statistical', 'correlations', 'of', 'two', 'copies', 'of', 'a', 'ddimensional', 'elastic', 'manifold', 'embedded', 'in', 'slightly', 'different', 'frozen', 'disorder', 'are', 'studied', 'using', 'the', 'functional', 'renormalization', 'group', 'to', 'oneloop', 'accuracy', 'order', 'oeps', '4d', 'determining', 'the', 'initial', 'short', 'scale', 'growth', 'of', 'mutual', 'correlations', 'ie', 'chaos', 'exponents', 'requires', 'control', 'of', 'a', 'system', 'of', 'coupled', 'differential', 'frg', 'equations', 'for', 'the', 'renormalized', 'mutual', 'and', 'self', 'disorder', 'correlators', 'in', 'a', 'very', 'delicate', 'boundary', 'layer', 'regime', 'some', 'progress', 'is', 'achieved', 'at', 'nonzero', 'temperature', 'where', 'linear', 'analysis', 'can', 'be', 'used', 'a', 'growth', 'exponent', 'a', 'is', 'defined', 'from', 'center', 'of', 'mass', 'fluctuations', 'in', 'a', 'quadratic', 'potential', 'in', 'the', 'case', 'where', 'temperature', 'is', 'marginal', 'eg', 'a', 'periodic', 'manifold', 'in', 'd2', 'we', 'demonstrate', 'analytically', 'and', 'numerically', 'that', 'a', 'eps', '13', '12', 'log1t', 'with', 'interesting', 'and', 'unexpected', 'logarithmic', 'corrections', 'at', 'low', 't', 'for', 'short', 'range', 'random', 'bond', 'disorder', 'our', 'analysis', 'indicates', 'that', 'a', '00833466', 'eps', 'with', 'large', 'finite', 'size', 'corrections']] | [-0.19395086826949284, 0.18084380717241558, -0.09578845064187871, 0.0832804574711441, 0.005195476419436906, -0.1744813607507867, 0.026964702710292526, 0.3075228501890047, -0.2489090311308873, -0.2529395507134754, 0.08342512408672864, -0.3126830066963709, -0.13207528887252357, 0.13674032843896541, 0.00897387549489865, 0.08467082507940459, 0.010644171314072144, 0.040170058346321355, -0.09563584919489021, -0.2384001086048525, 0.320951170591509, 0.01980698160377556, 0.25372337163425984, 0.0853825269491765, 0.08296520524529805, 0.016354557160480784, 0.02942041108577416, 0.06984886162320215, -0.14268240885666555, 0.05401517181689369, 0.23499065892417625, -0.04436153272078533, 0.26792379690109397, -0.37635411292571447, -0.2110780902335356, 0.07497298673822962, 0.1703167442395954, 0.12491546791881837, -0.043298994650229294, -0.2348747705141532, 0.0636548992864595, -0.15548369314778468, -0.17344720807440323, -0.06862937161891625, 0.056324053012990746, -0.0191047658413199, -0.3181083364155272, 0.12271032177297206, 0.01756661365386741, 0.10246013862819507, -0.037698889221867614, -0.09182800946933828, -0.041894593481616726, 0.10934881746190889, 0.029518738026998673, 0.04541931079122527, 0.1341289891957723, -0.1256079493122625, -0.06168689720236279, 0.33734799984457164, -0.10288018414927326, -0.19758996504423176, 0.1702891321724345, -0.18314098373119686, -0.14328230257017602, 0.1592055846680084, 0.16369196484828819, 0.09969550889659802, -0.13607726451651803, 0.14483698041977136, 0.04283647033353818, 0.20136040484468484, 0.06273506001713847, 0.02835930658279565, 0.1598315976002125, 0.15538589374708203, 0.050634944352224986, 0.1324736854310372, -0.05329582813388572, -0.13824876004765774, -0.31590829844875584, -0.0886177503279057, -0.2033778802186636, 0.09088966239259803, -0.18851078341138983, -0.17889970522373916, 0.3525142486431989, 0.10930873425597132, 0.20937094544542248, 0.06576445990177834, 0.21130127269967364, 0.14172361579659426, 0.05784401599767393, 0.07433175679521058, 0.21463378120378335, 0.140796787476424, 0.07096928413957357, -0.25186215951749735, 0.029260694646629795, 0.07456815529871604] |
709.1379 | Enhancement of the Benjamin-Feir instability with dissipation | It is shown that there is an overlooked mechanism whereby some kinds of
dissipation can enhance the Benjamin-Feir instability of water waves. This
observation is new, and although it is counterintuitive, it is due to the fact
that the Benjamin-Feir instability involves the collision of modes with
opposite energy sign (relative to the carrier wave), and it is the negative
energy perturbations which are enhanced.
| physics.class-ph math.AP physics.ao-ph | it is shown that there is an overlooked mechanism whereby some kinds of dissipation can enhance the benjaminfeir instability of water waves this observation is new and although it is counterintuitive it is due to the fact that the benjaminfeir instability involves the collision of modes with opposite energy sign relative to the carrier wave and it is the negative energy perturbations which are enhanced | [['it', 'is', 'shown', 'that', 'there', 'is', 'an', 'overlooked', 'mechanism', 'whereby', 'some', 'kinds', 'of', 'dissipation', 'can', 'enhance', 'the', 'benjaminfeir', 'instability', 'of', 'water', 'waves', 'this', 'observation', 'is', 'new', 'and', 'although', 'it', 'is', 'counterintuitive', 'it', 'is', 'due', 'to', 'the', 'fact', 'that', 'the', 'benjaminfeir', 'instability', 'involves', 'the', 'collision', 'of', 'modes', 'with', 'opposite', 'energy', 'sign', 'relative', 'to', 'the', 'carrier', 'wave', 'and', 'it', 'is', 'the', 'negative', 'energy', 'perturbations', 'which', 'are', 'enhanced']] | [-0.19994571862133362, 0.21100331934083863, -0.10092290413494294, 0.07955922200881804, -0.10752875908063009, -0.10732313125179364, -0.033464113680215984, 0.31923574799528487, -0.3036661349810087, -0.2632080665001502, 0.09758301847256147, -0.27640949874543225, -0.20274937069759918, 0.18204348611717042, -0.03664923496544361, -0.009002656339166255, 0.038942861940281896, 0.023359049240557046, 0.042270750007950345, -0.17803202755032824, 0.3478721142227117, 0.130596239062456, 0.3238325993315532, 0.11163913865502063, 0.06916904094127509, -0.07106860196217894, 0.024237256332372243, -0.010541673271486966, -0.08984447707972812, 0.04264699243582212, 0.2207306080647798, 0.047291640878225176, 0.2769158925359639, -0.3809089908233056, -0.24538125215241544, 0.10180542856598129, 0.14976620400467744, 0.17834382974721777, -0.04705150445493368, -0.2254392347513483, 0.09139689152630476, -0.14089093923998566, -0.1258532603342946, -0.025490554622732677, 0.07831450000835152, 0.0005346617303215541, -0.2680343412579252, 0.12283992980821774, 0.11799111603098796, -0.044573036266060975, -0.05488619945513514, -0.055825105557540576, -0.0855829441991563, 0.04833937838243751, 0.19481181832603536, 0.0460231224504801, 0.12015000101035604, -0.11187553749276469, -0.05447195527645258, 0.3824816462368919, -0.02278573288080784, -0.18958005730349284, 0.25323081634079037, -0.1322503727932389, -0.02379433734055895, 0.21477633895925605, 0.0918038029438601, 0.07387844440885462, -0.07769544388239201, 2.8546990898366158e-05, -0.023330311706209052, 0.16110360342292832, 0.11577189281726112, 0.051297132276858275, 0.22250589481913127, 0.16236694081543157, 0.09825957616647849, 0.11845846461275449, -0.07137527256630934, -0.07849524571345402, -0.27618387115116305, -0.1452361113078391, -0.19271674121801668, 0.015902731339044223, -0.02111547140789648, -0.1565120936169898, 0.38685616673185275, 0.16947311609625243, 0.1488718575009933, -0.05581665916475825, 0.2994397186315977, 0.2466317645059182, 0.1105534807850535, 0.06661379100898138, 0.35588215619119673, 0.12027070262970832, 0.12216101764486387, -0.27514923811854364, 0.10168929705396294, -0.005573051562532782] |
709.138 | Observation of GRBs by the MAGIC Telescope, Status and Outlook | Observation of Gamma Ray Bursts (GRBs) in the Very High Energy (VHE) domain
will provide important information on the physical conditions in GRB outflows.
The MAGIC telescope is the best suited Imaging Atmospheric Cherenkov Telescope
(IACT) for these observations. Thanks to its fast repositioning time and low
energy threshold, MAGIC is able to start quickly the follow-up observation,
triggered by an alert from the GRB Coordinates Network (GCN), and observe the
prompt emission and early afterglow phase from GRBs. In the last two years of
operation several GRB follow-up observations were performed by MAGIC, however,
until now without successful detection of VHE gamma rays above threshold
energies >100 GeV. In this paper we revise the expectations for the GRB
observations with MAGIC, based on the experience from the last years of
operation.
| astro-ph | observation of gamma ray bursts grbs in the very high energy vhe domain will provide important information on the physical conditions in grb outflows the magic telescope is the best suited imaging atmospheric cherenkov telescope iact for these observations thanks to its fast repositioning time and low energy threshold magic is able to start quickly the followup observation triggered by an alert from the grb coordinates network gcn and observe the prompt emission and early afterglow phase from grbs in the last two years of operation several grb followup observations were performed by magic however until now without successful detection of vhe gamma rays above threshold energies 100 gev in this paper we revise the expectations for the grb observations with magic based on the experience from the last years of operation | [['observation', 'of', 'gamma', 'ray', 'bursts', 'grbs', 'in', 'the', 'very', 'high', 'energy', 'vhe', 'domain', 'will', 'provide', 'important', 'information', 'on', 'the', 'physical', 'conditions', 'in', 'grb', 'outflows', 'the', 'magic', 'telescope', 'is', 'the', 'best', 'suited', 'imaging', 'atmospheric', 'cherenkov', 'telescope', 'iact', 'for', 'these', 'observations', 'thanks', 'to', 'its', 'fast', 'repositioning', 'time', 'and', 'low', 'energy', 'threshold', 'magic', 'is', 'able', 'to', 'start', 'quickly', 'the', 'followup', 'observation', 'triggered', 'by', 'an', 'alert', 'from', 'the', 'grb', 'coordinates', 'network', 'gcn', 'and', 'observe', 'the', 'prompt', 'emission', 'and', 'early', 'afterglow', 'phase', 'from', 'grbs', 'in', 'the', 'last', 'two', 'years', 'of', 'operation', 'several', 'grb', 'followup', 'observations', 'were', 'performed', 'by', 'magic', 'however', 'until', 'now', 'without', 'successful', 'detection', 'of', 'vhe', 'gamma', 'rays', 'above', 'threshold', 'energies', '100', 'gev', 'in', 'this', 'paper', 'we', 'revise', 'the', 'expectations', 'for', 'the', 'grb', 'observations', 'with', 'magic', 'based', 'on', 'the', 'experience', 'from', 'the', 'last', 'years', 'of', 'operation']] | [-0.04680801460265436, 0.1994365364151952, -0.03889323912814937, 0.1526605800600285, -0.14601692219377693, -0.11182261115843148, 0.09417365675802682, 0.49523708991932147, -0.16695683462559385, -0.37117776387568674, 0.09795757024160896, -0.2966860987909251, -0.02104457614901052, 0.25024652682160115, -0.008165516410813187, 0.05123501242743452, 0.19616405046844826, -0.060782904099720654, -0.02851144675955628, -0.23392024880564405, 0.22583258711330761, 0.2433919714707317, 0.20709040288012615, 0.013398606306344102, 0.11269959726963531, -0.022939903957938605, -0.06308235461597866, -0.12766800656875907, -0.11849593482276594, 0.027663343279114502, 0.29741035294577933, 0.16382151365696423, 0.21636299622442687, -0.4212172368795357, -0.23609951962222994, 0.11191790217399654, 0.09190813543021002, -0.018649584208050685, -0.025349681987956337, -0.3458459756167775, 0.00678095214640383, -0.19197324055218787, -0.16357571687408243, 0.06660756163800022, 0.00403300713691296, 0.06656276778526124, -0.14019196143966506, 0.010399215798260588, -0.036522947139791075, 0.04895942541506057, -0.09111967480875495, -0.029931027265830024, 0.052626805745107544, 0.07341797532386739, 0.0983943953178823, 0.053595615183109076, 0.079633577691504, -0.16286180546828263, -0.10416496130920043, 0.37850366249525297, -0.024960081743880768, 0.07833400746687513, 0.17401525072196047, -0.20901211764959787, -0.23051054023954115, 0.2541632571885588, 0.13859120666959576, 0.09006686205975711, -0.16902786970251438, 0.004269247727114072, 0.0362745586740361, 0.16687143870601148, 0.044243640248279203, 0.048053809060630476, 0.23482297039167446, 0.19619461156738302, 0.07030361229694929, 0.0845396864919387, -0.28081836249806325, 0.03810886896187157, -0.3166221351659095, -0.09626783596820931, -0.20224294541968088, 0.14563146110264247, -0.049050178516071435, -0.04612471855414862, 0.43177122189522243, 0.11722322272500164, 0.1830536772084253, 0.030768963238436052, 0.290576630060307, 0.027901428557621937, 0.07405028909719973, 0.07898990036813881, 0.4032255187912872, 0.07680632246510041, 0.1748512756488653, -0.157394821259941, 0.09131095676054952, 0.010722956457880862] |
709.1381 | Towards a dephasing diode: asymmetric and geometric dephasing | We study the effect of a noisy environment on spin and charge transport in
ballistic quantum wires with spin-orbit coupling (Rashba coupling). We find
that the wire then acts as a ``dephasing diode'', inducing very different
dephasing of the spins of right and left movers. We also show how Berry phase
(geometric phase) in a curved wire can induce such asymmetric dephasing, in
addition to purely geometric dephasing. We propose ways to measure these
effects through spin detectors, spin-echo techniques, and Aharanov-Bohm
interferometry.
| cond-mat.mes-hall cond-mat.dis-nn quant-ph | we study the effect of a noisy environment on spin and charge transport in ballistic quantum wires with spinorbit coupling rashba coupling we find that the wire then acts as a dephasing diode inducing very different dephasing of the spins of right and left movers we also show how berry phase geometric phase in a curved wire can induce such asymmetric dephasing in addition to purely geometric dephasing we propose ways to measure these effects through spin detectors spinecho techniques and aharanovbohm interferometry | [['we', 'study', 'the', 'effect', 'of', 'a', 'noisy', 'environment', 'on', 'spin', 'and', 'charge', 'transport', 'in', 'ballistic', 'quantum', 'wires', 'with', 'spinorbit', 'coupling', 'rashba', 'coupling', 'we', 'find', 'that', 'the', 'wire', 'then', 'acts', 'as', 'a', 'dephasing', 'diode', 'inducing', 'very', 'different', 'dephasing', 'of', 'the', 'spins', 'of', 'right', 'and', 'left', 'movers', 'we', 'also', 'show', 'how', 'berry', 'phase', 'geometric', 'phase', 'in', 'a', 'curved', 'wire', 'can', 'induce', 'such', 'asymmetric', 'dephasing', 'in', 'addition', 'to', 'purely', 'geometric', 'dephasing', 'we', 'propose', 'ways', 'to', 'measure', 'these', 'effects', 'through', 'spin', 'detectors', 'spinecho', 'techniques', 'and', 'aharanovbohm', 'interferometry']] | [-0.2154534433530756, 0.25624258796044863, -0.08581379524162824, 0.024234467066813214, -0.0395828843991979, -0.21089594552562718, 0.022113543584471547, 0.4663721413676997, -0.30995806611805077, -0.24257589556860276, -0.018908770153220428, -0.28129581519099606, -0.158946196627186, 0.17873999597336424, -0.04192545507888658, -0.010082110476466906, -0.0036779518003564283, -0.047781921115266274, -0.12689506192130587, -0.15910710518932844, 0.28057408408547263, -0.002743352896040193, 0.26543687139806077, 0.10046841638690107, 0.10872598692034204, 0.015095842749733164, 0.08970702998901167, 0.002354902058211436, -0.1396249483248495, -0.014242597760251129, 0.21761615618120833, -0.09797620483258941, 0.15032953437395305, -0.5091051593063826, -0.17508138591670488, 0.05923982693455028, 0.1556057752929179, 0.21300924798271742, -0.07938228293002235, -0.3634912232273673, -0.03654098893089377, -0.19351132436240293, -0.054623479001134276, -0.10151534052902317, 0.020811929827533573, -0.03745062015557953, -0.24082308498222427, 0.08438919208830234, 0.10712768671001835, 0.01206274447311838, 0.016623051730489516, -0.029702574968427778, 0.0062146136054701834, 0.10069821257121771, 0.028909572514113465, 0.010714407188324145, 0.22782560974830784, -0.08749375372272299, -0.15384268108194313, 0.3137217075620071, -0.14461241678211345, -0.21703708180260048, 0.17075509343475823, -0.17661330925163263, -0.018764566416930722, 0.03825387151081519, 0.1513932716011642, 0.1064561980451087, -0.14443441783919572, 0.0594751470847089, 0.02715723269551723, 0.12561248525898588, 0.052023177080035926, 0.178698857915195, 0.2494412095521588, 0.16145529274839954, 0.09729398270866957, 0.1548343008953562, -0.18431676123908394, -0.06888713703367365, -0.24777778000178108, -0.1497528072760766, -0.21160447046564645, 0.15782203236370382, -0.06810727376011845, -0.16304376808904023, 0.41033668836286985, 0.21082027932539224, 0.15765353877950145, -0.03158824873459806, 0.3022859437974641, 0.071027140588926, 0.039750365463242565, -0.003900919367660241, 0.23752438524213385, 0.21123159596561847, 0.050329349553549146, -0.3795088670884136, 0.012628924870212754, -0.013064605082912618] |
709.1382 | Hysteretic response of electron-nuclear spin system in single InAlAs
quantum dots:Excitation power and polarization dependences | We report the hysteresis of optically-pumped nuclear spin polarization and
the degree of circular polarization of photoluminescence on the excitation
power and electron spin polarization in single InAlAs quantum dots. By
increasing (or decreasing) the excitation power at a particular excitation
polarization, an abrupt rise (or drop) and a clear hysteretic behavior were
observed in the Overhauser shift of the photoluminescence of the exciton and
exciton complexes from the same single quantum dot under an external magnetic
field of 5 T. However, the degree of circular polarization shows different
behaviors between a positively charged exciton and a neutral exciton or
biexciton; further, only positively charged exciton exhibits the precisely
synchronized change and hysteretic behavior. It is suggested that the electron
spin distribution is affected by the flip-flop of electron-nuclear spins.
Further, the hysteresis is observed as a function of the degree of circular
polarization of the excitation light and its dependence on the excitation power
is studied. The saturation of the Overhauser shift after the abrupt rise
indicates the almost complete cancellation of the external magnetic field by
the nuclear field created within the width that is decided by the correlation
time between the electron and the nuclei spin system.
| cond-mat.mtrl-sci cond-mat.other | we report the hysteresis of opticallypumped nuclear spin polarization and the degree of circular polarization of photoluminescence on the excitation power and electron spin polarization in single inalas quantum dots by increasing or decreasing the excitation power at a particular excitation polarization an abrupt rise or drop and a clear hysteretic behavior were observed in the overhauser shift of the photoluminescence of the exciton and exciton complexes from the same single quantum dot under an external magnetic field of 5 t however the degree of circular polarization shows different behaviors between a positively charged exciton and a neutral exciton or biexciton further only positively charged exciton exhibits the precisely synchronized change and hysteretic behavior it is suggested that the electron spin distribution is affected by the flipflop of electronnuclear spins further the hysteresis is observed as a function of the degree of circular polarization of the excitation light and its dependence on the excitation power is studied the saturation of the overhauser shift after the abrupt rise indicates the almost complete cancellation of the external magnetic field by the nuclear field created within the width that is decided by the correlation time between the electron and the nuclei spin system | [['we', 'report', 'the', 'hysteresis', 'of', 'opticallypumped', 'nuclear', 'spin', 'polarization', 'and', 'the', 'degree', 'of', 'circular', 'polarization', 'of', 'photoluminescence', 'on', 'the', 'excitation', 'power', 'and', 'electron', 'spin', 'polarization', 'in', 'single', 'inalas', 'quantum', 'dots', 'by', 'increasing', 'or', 'decreasing', 'the', 'excitation', 'power', 'at', 'a', 'particular', 'excitation', 'polarization', 'an', 'abrupt', 'rise', 'or', 'drop', 'and', 'a', 'clear', 'hysteretic', 'behavior', 'were', 'observed', 'in', 'the', 'overhauser', 'shift', 'of', 'the', 'photoluminescence', 'of', 'the', 'exciton', 'and', 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'almost', 'complete', 'cancellation', 'of', 'the', 'external', 'magnetic', 'field', 'by', 'the', 'nuclear', 'field', 'created', 'within', 'the', 'width', 'that', 'is', 'decided', 'by', 'the', 'correlation', 'time', 'between', 'the', 'electron', 'and', 'the', 'nuclei', 'spin', 'system']] | [-0.15444038814632222, 0.2403481691995694, -0.03437047024955973, 0.026752424216247163, 0.030133325960487126, -0.13863351709442212, 0.032427919136825946, 0.42131938971579075, -0.25654769863103866, -0.3017987553495914, -0.027808109893230723, -0.28244027790613474, -0.07909867793903685, 0.1783367153769359, 0.06301097419694997, -0.002275942166161258, -0.026413152298191564, 0.02708132533938624, -0.052355587030760944, -0.16068635288160293, 0.3040541249076341, 0.06204479311825708, 0.2987633041210938, 0.12636024290375644, 0.10721893597161397, 0.059316762845210175, 0.07350711700972169, 0.028185778209008278, -0.06967310753221682, 0.05891074032057077, 0.16760558149777352, -0.017258807023172267, 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709.1383 | Decoherence induced by an interacting spin environment in the transition
from integrability to chaos | We investigate the decoherence properties of a central system composed of two
spins 1/2 in contact with a spin bath. The dynamical regime of the bath ranges
from a fully integrable integrable limit to complete chaoticity. We show that
the dynamical regime of the bath determines the efficiency of the decoherence
process. For perturbative regimes, the integrable limit provides stronger
decoherence, while in the strong coupling regime the chaotic limit becomes more
efficient. We also show that the decoherence time behaves in a similar way. On
the contrary, the rate of decay of magnitudes like linear entropy or fidelity
does not depend on the dynamical regime of the bath. We interpret the latter
results as due to a comparable complexity of the Hamiltonian for both the
integrable and the fully chaotic limits.
| cond-mat.mes-hall astro-ph cond-mat.dis-nn quant-ph | we investigate the decoherence properties of a central system composed of two spins 12 in contact with a spin bath the dynamical regime of the bath ranges from a fully integrable integrable limit to complete chaoticity we show that the dynamical regime of the bath determines the efficiency of the decoherence process for perturbative regimes the integrable limit provides stronger decoherence while in the strong coupling regime the chaotic limit becomes more efficient we also show that the decoherence time behaves in a similar way on the contrary the rate of decay of magnitudes like linear entropy or fidelity does not depend on the dynamical regime of the bath we interpret the latter results as due to a comparable complexity of the hamiltonian for both the integrable and the fully chaotic limits | [['we', 'investigate', 'the', 'decoherence', 'properties', 'of', 'a', 'central', 'system', 'composed', 'of', 'two', 'spins', '12', 'in', 'contact', 'with', 'a', 'spin', 'bath', 'the', 'dynamical', 'regime', 'of', 'the', 'bath', 'ranges', 'from', 'a', 'fully', 'integrable', 'integrable', 'limit', 'to', 'complete', 'chaoticity', 'we', 'show', 'that', 'the', 'dynamical', 'regime', 'of', 'the', 'bath', 'determines', 'the', 'efficiency', 'of', 'the', 'decoherence', 'process', 'for', 'perturbative', 'regimes', 'the', 'integrable', 'limit', 'provides', 'stronger', 'decoherence', 'while', 'in', 'the', 'strong', 'coupling', 'regime', 'the', 'chaotic', 'limit', 'becomes', 'more', 'efficient', 'we', 'also', 'show', 'that', 'the', 'decoherence', 'time', 'behaves', 'in', 'a', 'similar', 'way', 'on', 'the', 'contrary', 'the', 'rate', 'of', 'decay', 'of', 'magnitudes', 'like', 'linear', 'entropy', 'or', 'fidelity', 'does', 'not', 'depend', 'on', 'the', 'dynamical', 'regime', 'of', 'the', 'bath', 'we', 'interpret', 'the', 'latter', 'results', 'as', 'due', 'to', 'a', 'comparable', 'complexity', 'of', 'the', 'hamiltonian', 'for', 'both', 'the', 'integrable', 'and', 'the', 'fully', 'chaotic', 'limits']] | [-0.16070280866397574, 0.18398001489130725, -0.09054126636350923, 0.09235136721256575, 0.008575253992934118, -0.1338367711031231, 0.04395243878984316, 0.29805521432761894, -0.24961269071861875, -0.20500842476207198, 0.07738097377340168, -0.28830320293182565, -0.09442795404042541, 0.2285911789230974, -0.01347738161866525, 0.044799303339624945, 0.06549862176744324, 0.05498161924487883, -0.09142391806799975, -0.20434065610981744, 0.3081522043334685, 0.04860575471927101, 0.2624457671296444, 0.04448603087825397, 0.1125192106736711, 0.014959454589354043, 0.06498035818169062, -0.005475358480136051, -0.13482924534599244, 0.017118109975743926, 0.18949670367345045, -0.0022177951706742697, 0.2365013052582402, -0.40644950574884814, -0.19721633416713413, 0.09984949886601305, 0.17406853913527096, 0.15397142840260075, 0.015363843243187259, -0.25347169370842026, -0.0003850040295880965, -0.1734952169724486, -0.14439800083566684, -0.06800672454251484, 0.01617530827184744, -0.0037976932278869563, -0.2494111011602041, 0.1504051575212736, 0.15932942610820508, 0.003951323183366295, -0.02794476152948019, -0.017246374094005052, -0.017876919768186228, 0.12833843323416216, 0.020545053782398376, -0.01154260887326955, 0.17563220904081722, -0.14919553507140584, -0.07028586266802228, 0.3506663537048029, -0.13752683073151717, -0.19866636197371973, 0.252070163140271, -0.18852180060859997, -0.12279756665829512, 0.11724637836838762, 0.13091473866105927, 0.1017032873509875, -0.14338379566536538, 0.11784539212231086, 0.013623089334666447, 0.19952323778786443, -0.00476764035975617, 0.13718123639806767, 0.1986126297534528, 0.191259224552513, 0.07499339268675116, 0.18273562282697778, -0.06679734054275534, -0.17467547940781736, -0.2876053649551151, -0.11313578918987222, -0.19027958801862868, 0.11991854725331932, -0.11046544491006044, -0.14415350600117535, 0.4074037885822525, 0.19097601810018672, 0.19854450790775113, 0.08810606193869855, 0.23816793519213345, 0.16308565422183496, 0.03427952599260166, 0.07214680435770954, 0.312885954665641, 0.16128852717917075, 0.06611057627191202, -0.3322999676862365, 0.021677837841156306, 0.019510582047091288] |
709.1384 | Flavor states of mixed neutrinos | By resorting to previous results on flavor mixing in Quantum Field Theory, we
show how to consistently define flavor states of mixed neutrinos as eigenstates
of the flavor charge operators.
| hep-ph | by resorting to previous results on flavor mixing in quantum field theory we show how to consistently define flavor states of mixed neutrinos as eigenstates of the flavor charge operators | [['by', 'resorting', 'to', 'previous', 'results', 'on', 'flavor', 'mixing', 'in', 'quantum', 'field', 'theory', 'we', 'show', 'how', 'to', 'consistently', 'define', 'flavor', 'states', 'of', 'mixed', 'neutrinos', 'as', 'eigenstates', 'of', 'the', 'flavor', 'charge', 'operators']] | [-0.05697279297746718, 0.3361723560063789, -0.05326009690761566, 0.1365638759297629, -0.0008402223465964198, -0.11063591521233321, 0.11454121560867254, 0.32460513344655434, -0.20432732912401358, -0.28607478297005096, -0.012130202093006422, -0.24521713554859162, -0.07527070119976997, 0.08075618703539172, -0.026389941697319348, 0.05054284992317359, 0.046171934840579826, 0.006113306557138761, -0.11296810653681556, -0.189726487485071, 0.3903733482118696, 0.004888388339895755, 0.25132660623639824, 0.0982082599774003, 0.013104665977880358, -0.034964214994882545, -0.042609136536096534, -0.0392308526361982, -0.05154572029908498, 0.05244124670474169, 0.2191116616440316, 0.12037962866015732, 0.05086354242327313, -0.5040797494351864, -0.22896878744165103, 0.1206070367867748, 0.15383446017901103, 0.16184745505452156, -0.05505182046520834, -0.36441709014276663, 0.06719380455712477, -0.2084726775996387, -0.14783129923356075, -0.18625612904628117, -0.09698866119530673, -0.08345174497614304, -0.3033246679852406, 0.1026637741519759, -0.01420821415570875, -0.012451324177285035, 0.004216363374143839, -0.1685609738032023, -0.02915440173819661, 0.05280320135255655, 0.13458443821097413, -0.018435291340574624, 0.12227506657751898, -0.16071473760530353, -0.26464607287198305, 0.3994358212376634, -0.11148633575066924, -0.271957580683132, 0.13502104540045062, -0.18534912363005182, -0.15539273091902336, 0.009280174722274144, 0.16793144398058454, 0.09056229116395116, -0.12076584783693155, 0.1665390278212726, -0.12683697417378426, 0.14307527563845118, 0.03135898069789012, 0.10669602702061336, 0.19274191297590731, 0.08877142705023289, 0.13813344187413654, 0.022713239157261946, 0.01567649896411846, -0.14215886189291874, -0.3448142342269421, -0.12282167642066875, -0.14345239978283644, 0.14782198707883556, -0.05361749685058991, -0.11258130433658758, 0.4971771296734611, 0.17159444267551105, 0.16672519159813723, -0.017940236969540516, 0.22155032470667113, 0.10446772742628431, 0.0712861392647028, 0.019919088607033095, 0.22825149855731677, 0.24255232867629578, 0.11804851565199594, -0.3353689563460648, -0.07352610947564245, 0.15683681570614377] |
709.1385 | A nonlinear Poisson formula for the Schrodinger operator | We prove a nonlinear Poisson type formula for the Schrodinger group. Such a
formula had been derived in a previous paper by the authors, as a consequence
of the study of the asymptotic behavior of nonlinear wave operators for small
data. In this note, we propose a direct proof, and extend the range allowed for
the power of the nonlinearity to the set of all short range nonlinearities.
Moreover, energy-critical nonlinearities are allowed.
| math.AP math.FA | we prove a nonlinear poisson type formula for the schrodinger group such a formula had been derived in a previous paper by the authors as a consequence of the study of the asymptotic behavior of nonlinear wave operators for small data in this note we propose a direct proof and extend the range allowed for the power of the nonlinearity to the set of all short range nonlinearities moreover energycritical nonlinearities are allowed | [['we', 'prove', 'a', 'nonlinear', 'poisson', 'type', 'formula', 'for', 'the', 'schrodinger', 'group', 'such', 'a', 'formula', 'had', 'been', 'derived', 'in', 'a', 'previous', 'paper', 'by', 'the', 'authors', 'as', 'a', 'consequence', 'of', 'the', 'study', 'of', 'the', 'asymptotic', 'behavior', 'of', 'nonlinear', 'wave', 'operators', 'for', 'small', 'data', 'in', 'this', 'note', 'we', 'propose', 'a', 'direct', 'proof', 'and', 'extend', 'the', 'range', 'allowed', 'for', 'the', 'power', 'of', 'the', 'nonlinearity', 'to', 'the', 'set', 'of', 'all', 'short', 'range', 'nonlinearities', 'moreover', 'energycritical', 'nonlinearities', 'are', 'allowed']] | [-0.14805994795201577, 0.03902177474372191, -0.060419054013000774, 0.052074594230212476, -0.12616725462131612, -0.07475568168503169, 0.03386941262080704, 0.30282630465210303, -0.2479477685506213, -0.2481790869560552, 0.11907090439639781, -0.2646035276710579, -0.17196274664865374, 0.24454178357471343, -0.04083395851712215, 0.08107848451409029, 0.028377912559048975, 0.03200842558776271, -0.058573212155638495, -0.19916374192968622, 0.3752047548147097, -0.024143936571805445, 0.22528509521372106, 0.07011978101138383, 0.11334646507389588, 0.023994683517678958, -0.03519254438706661, 0.008860078971986084, -0.17385149086914856, 0.09844043127847962, 0.2451080792927987, 0.04640546652220496, 0.316300837858899, -0.42369293625632376, -0.2485730587696172, 0.15444572329878398, 0.13871784149413954, 0.14757671299046032, -0.041962506699260986, -0.26522587755159155, 0.08400840236971231, -0.19907613652311776, -0.1743601576284799, -0.045114511432610964, 0.05683229008868133, 0.08509368127951883, -0.30131272137267134, 0.0819478292841056, 0.11812269049760414, 0.031883289259284325, -0.07085673854852172, -0.07358262388112202, 0.03419014797163234, 0.07206725454825448, 0.0397590956433791, -0.04286700282054507, -0.0005020525127853433, -0.10952369501010502, -0.06727802370713182, 0.35688873783570446, -0.08602087884784153, -0.18904334897405073, 0.138916494066457, -0.16269078272177953, -0.13500213755728446, 0.07693120610121995, 0.18524393154155105, 0.1551586478718952, -0.15910800399692498, 0.1419906029214585, -0.06507800724847747, 0.13788767577442404, 0.08736381950877505, 0.06220344816372819, 0.07703653110624993, 0.13656373578442693, 0.0887008654719142, 0.15372744520284135, -0.044576409872468206, -0.0337818705680946, -0.3534789262339473, -0.1510766793221031, -0.161956340803331, 0.08451668136455724, -0.08279701413954321, -0.13992116197127186, 0.4279328798109742, 0.1125926189379741, 0.2014627235444033, 0.12862517462711628, 0.22791676070183925, 0.19214810133446805, 0.02635745236599078, 0.004639994710275572, 0.2439534944316296, 0.13042889655669768, 0.13210908203602653, -0.16985341141076937, 0.007285484859133011, 0.09966348256909428] |
709.1386 | MAGIC upper limits on the high energy emission from GRBs | During its cycle-1 observation period, between April 2005 and March 2006, the
MAGIC telescope was able to observe nine Gamma Ray Burst (GRB) events since
their early beginning. Other observations were performed during the following
months in the cycle-2 observation period. The observations, with an energy
threshold spanning from 80 to 200 GeV, did not reveal any gamma ray emission.
The computed upper limits are compatible with a power law extrapolation, where
intrinsic fluxes are evaluated taking into account the attenuation due to the
scattering in the metagalactic radiation field.
| astro-ph | during its cycle1 observation period between april 2005 and march 2006 the magic telescope was able to observe nine gamma ray burst grb events since their early beginning other observations were performed during the following months in the cycle2 observation period the observations with an energy threshold spanning from 80 to 200 gev did not reveal any gamma ray emission the computed upper limits are compatible with a power law extrapolation where intrinsic fluxes are evaluated taking into account the attenuation due to the scattering in the metagalactic radiation field | [['during', 'its', 'cycle1', 'observation', 'period', 'between', 'april', '2005', 'and', 'march', '2006', 'the', 'magic', 'telescope', 'was', 'able', 'to', 'observe', 'nine', 'gamma', 'ray', 'burst', 'grb', 'events', 'since', 'their', 'early', 'beginning', 'other', 'observations', 'were', 'performed', 'during', 'the', 'following', 'months', 'in', 'the', 'cycle2', 'observation', 'period', 'the', 'observations', 'with', 'an', 'energy', 'threshold', 'spanning', 'from', '80', 'to', '200', 'gev', 'did', 'not', 'reveal', 'any', 'gamma', 'ray', 'emission', 'the', 'computed', 'upper', 'limits', 'are', 'compatible', 'with', 'a', 'power', 'law', 'extrapolation', 'where', 'intrinsic', 'fluxes', 'are', 'evaluated', 'taking', 'into', 'account', 'the', 'attenuation', 'due', 'to', 'the', 'scattering', 'in', 'the', 'metagalactic', 'radiation', 'field']] | [-0.061008429599718916, 0.2049588358302976, -0.08937748289253149, 0.09536014435191949, -0.10664796959091392, -0.08609443158946103, 0.07535750880940921, 0.4402449919221302, -0.17656701918717266, -0.421594039702581, 0.10270213112235069, -0.30781915727485387, -0.01681532754252354, 0.231092675578677, -0.013633953474668992, -0.028892819532322592, 0.12402386061924821, -0.025115617191315526, -0.00971115346894496, -0.25209792085507715, 0.19085978367624598, 0.19196887255853248, 0.2306441417646258, 0.013670652796928253, 0.07336159143596888, 0.00484841907552133, -0.130605324076411, -0.0901292274123989, -0.11978058426175267, -0.017464419257723622, 0.2277938789067169, 0.09078422767989751, 0.14417193720841573, -0.43148942151132763, -0.22633050041687158, 0.12233625671619343, 0.04826118446265658, -0.03502757018432021, 0.027632486851265032, -0.29659467432647946, -0.003700980797616972, -0.16182943864001167, -0.1267755342130032, 0.1059924068602009, 0.07391835602336666, 0.014771131431269976, -0.20934488794559405, 0.06371440897799201, -0.014593408728897986, 0.06726723606407177, -0.12560754908222913, -0.06952726629873117, -0.01511679862859536, 0.10852385125536886, 0.09238242128243049, 0.05979960655224406, 0.11548806924321171, -0.05701584004822911, -0.11041129922701252, 0.34827411843256817, -0.06295872094730535, 0.07852545597900946, 0.148116591376149, -0.22883023250744575, -0.16886500266587567, 0.2905878762404124, 0.1518030604192366, 0.0345752149475124, -0.15867438279609714, 0.06104054864845239, 0.043320177619655925, 0.20786452123947027, 0.09392391381164392, -0.02115986314084795, 0.2391871063090447, 0.07497922080672449, -0.03982425502294468, 0.07503187537400259, -0.2647890306595299, -0.026206898218434718, -0.30178210109265313, -0.04872335510768203, -0.13113575365601315, 0.144843004184885, -0.048751358827414354, -0.048606404393083516, 0.37142459218286805, 0.07627441546776229, 0.22149837229193914, 0.045487974718627006, 0.23450394871955116, 0.12628005179059174, 0.06028199832168563, 0.12138225882986767, 0.38760798225800197, 0.12342394194307013, 0.16660275745412542, -0.17407053064089267, 0.05413763719973051, 0.007095453453560671] |
709.1387 | Kurt Goedel and His Universe | A portrait of Kurt Goedel with emphasis on his work on relativity theory and
idealistic philosophy.
| physics.hist-ph gr-qc | a portrait of kurt goedel with emphasis on his work on relativity theory and idealistic philosophy | [['a', 'portrait', 'of', 'kurt', 'goedel', 'with', 'emphasis', 'on', 'his', 'work', 'on', 'relativity', 'theory', 'and', 'idealistic', 'philosophy']] | [-0.0961782522208523, -0.015566106711048633, -0.21578295645304024, 0.10701448214967968, -0.156377526873257, -0.20361179622705095, 0.03674371950182831, 0.21189614737522788, -0.07014942020759918, -0.3069795824121684, 0.1269494843436405, -0.2717239201301709, -0.2383053656667471, 0.2190911920624785, -0.268860969285015, -0.004563238937407732, 0.04072559787891805, 0.12955552840139717, -0.06853742044768296, -0.2947523999027908, 0.37569882863317616, 0.09480565175181255, 0.28400800563395023, 0.009166321018710732, 0.10174784026457928, 0.0972545116674155, -0.09276205173227936, 0.0442357228603214, -0.1760630304343067, 0.16726917726919055, 0.18880941136740148, 0.1947127289022319, 0.3520118328742683, -0.4694814521353692, -0.1965618243557401, -0.07865534647135064, -0.03929921933740843, 0.128795690019615, -0.047264631764846854, -0.3992566680535674, -0.04819640511414036, -0.17993958061560988, -0.10617186589661287, 0.01824654679512605, 0.07173033128492534, -0.08447938947938383, -0.05171821976546198, -0.012847405159845948, 0.10204534651711583, 0.18120256817201152, -0.006560433597769588, -0.09597618551197229, 0.07798908918630332, 0.035504818632034585, 0.11895119515247643, 0.1345520808827132, 0.06754215400724206, -0.09882913960609585, -0.1434818529523909, 0.42465404281392694, -0.005001188372261822, -0.2161179326940328, 0.12314716595574282, -0.14332557516172528, -0.20417803008604096, -0.08262535673566163, 0.1378309114370495, 0.1512822073418647, -0.0008286527008749545, 0.2362828717996308, -0.03374715568497777, 0.09929764503613114, 0.12727963359793648, 0.029753593757050112, 0.24199050245806575, 0.14309540332760662, -0.0836201092461124, -0.027702742954716086, 0.12751545521314256, -0.2580910795368254, -0.35656526358798146, -0.1630393021623604, -0.1766790928086266, 0.1574209905229509, -0.013243574269836245, -0.15324389320448972, 0.36201813840307295, 0.09728847916267114, 0.0466972878202796, 0.07186354396981187, 0.2630677329725586, -0.01663162058684975, -0.1083283057960216, -0.03225872840266675, 0.23069490818306804, 0.2038596044294536, 0.17617917159805074, -0.13659063965315, 0.02669435589632485, 0.19319191039539874] |
709.1388 | Exact shering box solutions of MHD flows with resistivity, viscosity and
cooling | Axisymmetric incompressible modes of the magneto-rotational instability (MRI)
with a vertical wavenumber are exact solutions of the non-linear local
equations of motion for a disk (shearing box). They are referred to as "channel
solutions". Here, we generalize a class of these solutions to include energy
losses, viscous, and resistive effects. In the limit of zero shear, we recover
the result that torsional Alfv\'en waves are exact solutions of the non-linear
equations. Our method allows the extension of these solutions into the
dissipative regime.
These new solutions serve as benchmarks for simulations including dissipation
and energy loss, and to calibrate numerical viscosity and resistivity in the
Zeus3D code. We quantify the anisotropy of numerical dissipation and compute
its scaling with time and space resolution. We find a strong dependence of the
dissipation on the mean magnetic field that may affect the saturation state of
the MRI as computed with Zeus3D. It is also shown that elongated grid cells
generally preclude isotropic dissipation and that a Courant time step smaller
than that which is commonly used should be taken to avoid spurious
anti-diffusion of magnetic field.
| astro-ph | axisymmetric incompressible modes of the magnetorotational instability mri with a vertical wavenumber are exact solutions of the nonlinear local equations of motion for a disk shearing box they are referred to as channel solutions here we generalize a class of these solutions to include energy losses viscous and resistive effects in the limit of zero shear we recover the result that torsional alfven waves are exact solutions of the nonlinear equations our method allows the extension of these solutions into the dissipative regime these new solutions serve as benchmarks for simulations including dissipation and energy loss and to calibrate numerical viscosity and resistivity in the zeus3d code we quantify the anisotropy of numerical dissipation and compute its scaling with time and space resolution we find a strong dependence of the dissipation on the mean magnetic field that may affect the saturation state of the mri as computed with zeus3d it is also shown that elongated grid cells generally preclude isotropic dissipation and that a courant time step smaller than that which is commonly used should be taken to avoid spurious antidiffusion of magnetic field | [['axisymmetric', 'incompressible', 'modes', 'of', 'the', 'magnetorotational', 'instability', 'mri', 'with', 'a', 'vertical', 'wavenumber', 'are', 'exact', 'solutions', 'of', 'the', 'nonlinear', 'local', 'equations', 'of', 'motion', 'for', 'a', 'disk', 'shearing', 'box', 'they', 'are', 'referred', 'to', 'as', 'channel', 'solutions', 'here', 'we', 'generalize', 'a', 'class', 'of', 'these', 'solutions', 'to', 'include', 'energy', 'losses', 'viscous', 'and', 'resistive', 'effects', 'in', 'the', 'limit', 'of', 'zero', 'shear', 'we', 'recover', 'the', 'result', 'that', 'torsional', 'alfven', 'waves', 'are', 'exact', 'solutions', 'of', 'the', 'nonlinear', 'equations', 'our', 'method', 'allows', 'the', 'extension', 'of', 'these', 'solutions', 'into', 'the', 'dissipative', 'regime', 'these', 'new', 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0.11736254566399705, -0.283990155601793, 0.002907337281731484, 0.06931263171186995] |
709.1389 | One page proof of the Riemann hypothesis | We give a short Wiener measure proof of the Riemann hypothesis based on a
surprising, unexpected and deep relation between the Riemann zeta $\zeta(s)$
and the trivial zeta $\zeta_{t}(s):=Im(s)(2Re(s)-1)$.
| math.GM | we give a short wiener measure proof of the riemann hypothesis based on a surprising unexpected and deep relation between the riemann zeta zetas and the trivial zeta zeta_tsims2res1 | [['we', 'give', 'a', 'short', 'wiener', 'measure', 'proof', 'of', 'the', 'riemann', 'hypothesis', 'based', 'on', 'a', 'surprising', 'unexpected', 'and', 'deep', 'relation', 'between', 'the', 'riemann', 'zeta', 'zetas', 'and', 'the', 'trivial', 'zeta', 'zeta_tsims2res1']] | [-0.267664855113253, 0.030674562423623035, -0.2815148998051882, 0.20272848602118237, -0.152353531414909, -0.15281580092518457, 0.12154311127960682, 0.28397777011351927, -0.2523074277809688, -0.2039078892474728, 0.048424142778718045, -0.21010166393326862, -0.25548721264515606, 0.24445965769700706, -0.0350819355142968, 0.029463784744231298, 0.030351116388503994, 0.025807444538388933, -0.15542799946186797, -0.2688167193638427, 0.4089359675667116, -0.032221769723816705, 0.23318388180008956, 0.19691812724340707, 0.12019775036190238, -0.011653259479706841, -0.08186660810107631, -0.08374130413202303, -0.1525818394896175, 0.10432638633730155, 0.22489488577204092, 0.03671315916082157, 0.2520705082320741, -0.3903438089681523, -0.140079797528285, 0.10823880553445113, 0.05646101347104247, -0.14849527619246924, 0.029244200438759953, -0.2868848903370755, 0.04539104497858456, -0.08619859309068748, -0.11300029499190194, -0.0027256343247635023, 0.06825541795530755, 0.029989752286512936, -0.18753802343936904, 0.13725880327235376, 0.10710917306797844, 0.10328243323601782, -0.053665668736877184, -0.1572248133431588, 0.04757019278726408, 0.007858194577108537, 0.1734592070403908, 0.10774624828315739, 0.020254251430742443, -0.09414746958230223, -0.05324204585381916, 0.25376433905746254, -0.1231891852969836, -0.18517206542726075, 0.2120643098522643, -0.13454748390774643, -0.18218999808388098, 0.06813568488827773, 0.07521605797644172, 0.16166122420690954, -0.02009152205261801, 0.10773860995375019, -0.12172586603888444, 0.13671341565038478, 0.16194895418759966, -0.06524879671633244, 0.28160405604700955, 0.09160124124693018, 0.02769798256589898, 0.166857872224812, -0.10683466277051983, -0.04537844090789024, -0.398824711330235, -0.306970499855067, -0.22400134282984904, 0.16977219163839305, -0.1781704613063734, -0.3016080344761057, 0.3559372337268932, 0.1248929523197668, 0.20504030585289001, 0.2328020677170051, 0.2222107079412256, 0.17964828230573662, 0.003567925009909751, -0.0053182665059076885, 0.12163266193653856, 0.24223845089519663, 0.03198411170991936, -0.1234512801415154, 0.05643515536628131, 0.2388700818077528] |
709.139 | Non-universality of transverse momentum dependent parton distribution
functions | In the field theoretical description of hadronic scattering processes, single
transverse-spin asymmetries arise due to gluon initial and final state
interactions. These interactions lead to process dependent Wilson lines in the
operator definitions of transverse momentum dependent parton distribution
functions. In particular for hadron-hadron scattering processes with hadronic
final states this has important ramifications for possible factorization
formulas in terms of (non)universal TMD parton distribution functions. In this
paper we will systematically separate the universality-breaking parts of the
TMD parton correlators from the universal T-even and T-odd parts. This might
play an important role in future factorization studies for these processes. We
also show that such factorization theorems will (amongst others) involve the
gluonic pole cross sections, which have previously been shown to describe the
hard partonic scattering in weighted spin asymmetries.
| hep-ph | in the field theoretical description of hadronic scattering processes single transversespin asymmetries arise due to gluon initial and final state interactions these interactions lead to process dependent wilson lines in the operator definitions of transverse momentum dependent parton distribution functions in particular for hadronhadron scattering processes with hadronic final states this has important ramifications for possible factorization formulas in terms of nonuniversal tmd parton distribution functions in this paper we will systematically separate the universalitybreaking parts of the tmd parton correlators from the universal teven and todd parts this might play an important role in future factorization studies for these processes we also show that such factorization theorems will amongst others involve the gluonic pole cross sections which have previously been shown to describe the hard partonic scattering in weighted spin asymmetries | [['in', 'the', 'field', 'theoretical', 'description', 'of', 'hadronic', 'scattering', 'processes', 'single', 'transversespin', 'asymmetries', 'arise', 'due', 'to', 'gluon', 'initial', 'and', 'final', 'state', 'interactions', 'these', 'interactions', 'lead', 'to', 'process', 'dependent', 'wilson', 'lines', 'in', 'the', 'operator', 'definitions', 'of', 'transverse', 'momentum', 'dependent', 'parton', 'distribution', 'functions', 'in', 'particular', 'for', 'hadronhadron', 'scattering', 'processes', 'with', 'hadronic', 'final', 'states', 'this', 'has', 'important', 'ramifications', 'for', 'possible', 'factorization', 'formulas', 'in', 'terms', 'of', 'nonuniversal', 'tmd', 'parton', 'distribution', 'functions', 'in', 'this', 'paper', 'we', 'will', 'systematically', 'separate', 'the', 'universalitybreaking', 'parts', 'of', 'the', 'tmd', 'parton', 'correlators', 'from', 'the', 'universal', 'teven', 'and', 'todd', 'parts', 'this', 'might', 'play', 'an', 'important', 'role', 'in', 'future', 'factorization', 'studies', 'for', 'these', 'processes', 'we', 'also', 'show', 'that', 'such', 'factorization', 'theorems', 'will', 'amongst', 'others', 'involve', 'the', 'gluonic', 'pole', 'cross', 'sections', 'which', 'have', 'previously', 'been', 'shown', 'to', 'describe', 'the', 'hard', 'partonic', 'scattering', 'in', 'weighted', 'spin', 'asymmetries']] | [-0.07743809438036854, 0.23841379785242417, -0.18179821859039225, 0.17349762673174995, -0.04241123600002691, -0.039266607837879476, -0.04312358469122893, 0.4006099482244663, -0.22821004876781625, -0.18596294524062795, -0.040130058028877404, -0.281229845937768, -0.07457281247435407, 0.11132319088143702, 0.06977547581526647, 0.12590540288627602, 0.07561150859625484, -0.0679539495773386, -0.06608221342099319, -0.20536166717092158, 0.41362838819622993, 0.036367460047356956, 0.23129286248066272, 0.22031200351549013, 0.04656613657947715, 0.12222299508338097, -0.0959116612944951, -0.07713569256384636, -0.11039217782766915, 0.060341734820816895, 0.3213036699320069, 0.03371478182722224, 0.10089443612466957, -0.42418078719887115, -0.12592506604642387, 0.10779056231000723, 0.20854493032230903, 0.10094594040562092, 0.0034292540903992324, -0.22489202489635643, 0.005048205640135006, -0.24198504784748753, -0.1526824451257823, -0.14690535273474023, 0.026766562593553415, -0.0030939732287221283, -0.28376376922135704, 0.07894117237785866, 0.03641432394870763, -0.02938073250742359, 0.0023890071804457493, -0.2535942200187395, -0.017176394894690687, 0.08898840710175941, 0.10887070236179289, 0.05106825899254559, 0.15756603487845483, -0.2226553063871666, -0.20853709795633119, 0.3384488638462001, 0.018809799271998287, -0.22184675091607425, 0.13738141474065207, -0.21997356132554416, -0.22519613587553436, 0.1351662535610398, 0.24660431340386565, 0.11584941275197415, -0.20194873843654876, 0.1038142921934473, -0.01834289567857867, 0.09188708137607074, 0.08749417291477835, 0.13435060418928965, 0.21475512194909327, 0.1098163342583242, -0.04054199429122262, 0.10029525317843534, -0.05094139924884297, -0.14266306642515814, -0.36800313371283405, -0.11166295790440538, -0.08925831730776104, 0.08789679897928661, -0.08515216714061818, -0.17596334581621495, 0.382442973643001, 0.1265924365281035, 0.25039226044047597, -0.022596881495173735, 0.29350991805887405, 0.14622527174918223, 0.10511709543172526, 0.0196449966667547, 0.24587338375823417, 0.18543326113202419, 0.15712999477129402, -0.20494739069134169, 0.12008170575927232, 0.06865203069551414] |
709.1391 | Observational signatures of f(R) dark energy models that satisfy
cosmological and local gravity constraints | We discuss observational consequences of f(R) dark energy scenarios that
satisfy local gravity constraints (LGC) as well as conditions of the
cosmological viability. The model we study is given by m(r)=C(-r-1)^p (C>0,
p>1) with m=Rf_{,RR}/f_{,R} and r=-Rf_{,R}/f, which cover viable f(R) models
proposed so far in a high-curvature region designed to be compatible with LGC.
The equation of state of dark energy exhibits a divergence at a redshift z_c
that can be as close as a few while satisfying sound horizon constraints of
Cosmic Microwave Background (CMB). We study the evolution of matter density
perturbations in details and place constraints on model parameters from the
difference of spectral indices of power spectra between CMB and galaxy
clustering. The models with p>5 can be consistent with those observational
constraints as well as LGC. We also discuss the evolution of perturbations in
the Ricci scalar R and show that an oscillating mode (scalaron) can easily
dominate over a matter-induced mode as we go back to the past. This violates
the stability of cosmological solutions, thus posing a problem about how the
over-production of scalarons should be avoided in the early universe.
| astro-ph gr-qc hep-ph hep-th | we discuss observational consequences of fr dark energy scenarios that satisfy local gravity constraints lgc as well as conditions of the cosmological viability the model we study is given by mrcr1p c0 p1 with mrf_rrf_r and rrf_rf which cover viable fr models proposed so far in a highcurvature region designed to be compatible with lgc the equation of state of dark energy exhibits a divergence at a redshift z_c that can be as close as a few while satisfying sound horizon constraints of cosmic microwave background cmb we study the evolution of matter density perturbations in details and place constraints on model parameters from the difference of spectral indices of power spectra between cmb and galaxy clustering the models with p5 can be consistent with those observational constraints as well as lgc we also discuss the evolution of perturbations in the ricci scalar r and show that an oscillating mode scalaron can easily dominate over a matterinduced mode as we go back to the past this violates the stability of cosmological solutions thus posing a problem about how the overproduction of scalarons should be avoided in the early universe | [['we', 'discuss', 'observational', 'consequences', 'of', 'fr', 'dark', 'energy', 'scenarios', 'that', 'satisfy', 'local', 'gravity', 'constraints', 'lgc', 'as', 'well', 'as', 'conditions', 'of', 'the', 'cosmological', 'viability', 'the', 'model', 'we', 'study', 'is', 'given', 'by', 'mrcr1p', 'c0', 'p1', 'with', 'mrf_rrf_r', 'and', 'rrf_rf', 'which', 'cover', 'viable', 'fr', 'models', 'proposed', 'so', 'far', 'in', 'a', 'highcurvature', 'region', 'designed', 'to', 'be', 'compatible', 'with', 'lgc', 'the', 'equation', 'of', 'state', 'of', 'dark', 'energy', 'exhibits', 'a', 'divergence', 'at', 'a', 'redshift', 'z_c', 'that', 'can', 'be', 'as', 'close', 'as', 'a', 'few', 'while', 'satisfying', 'sound', 'horizon', 'constraints', 'of', 'cosmic', 'microwave', 'background', 'cmb', 'we', 'study', 'the', 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0.09266337046566554, -0.22390841295379887, 0.012450352595013411, -0.005129654762300259] |
709.1392 | On the measurement of the proton-air cross section using cosmic ray data | Cosmic ray data may allow the determination of the proton-air cross section
at ultra-high energy. For example, the distribution of the first interaction
point in air showers reflects the particle production cross section. As it is
not possible to observe the point of the first interaction $X_{\rm 1}$ of a
cosmic ray primary particle directly, other air shower observables must be
linked to $X_{\rm 1}$. This introduces an inherent dependence of the derived
cross section on the general understanding and modeling of air showers and,
therfore, on the hadronic interaction model used for the Monte Carlo
simulation. We quantify the uncertainties arising from the model dependence by
varying some characteristic features of high-energy hadron production.
| astro-ph | cosmic ray data may allow the determination of the protonair cross section at ultrahigh energy for example the distribution of the first interaction point in air showers reflects the particle production cross section as it is not possible to observe the point of the first interaction x_rm 1 of a cosmic ray primary particle directly other air shower observables must be linked to x_rm 1 this introduces an inherent dependence of the derived cross section on the general understanding and modeling of air showers and therfore on the hadronic interaction model used for the monte carlo simulation we quantify the uncertainties arising from the model dependence by varying some characteristic features of highenergy hadron production | [['cosmic', 'ray', 'data', 'may', 'allow', 'the', 'determination', 'of', 'the', 'protonair', 'cross', 'section', 'at', 'ultrahigh', 'energy', 'for', 'example', 'the', 'distribution', 'of', 'the', 'first', 'interaction', 'point', 'in', 'air', 'showers', 'reflects', 'the', 'particle', 'production', 'cross', 'section', 'as', 'it', 'is', 'not', 'possible', 'to', 'observe', 'the', 'point', 'of', 'the', 'first', 'interaction', 'x_rm', '1', 'of', 'a', 'cosmic', 'ray', 'primary', 'particle', 'directly', 'other', 'air', 'shower', 'observables', 'must', 'be', 'linked', 'to', 'x_rm', '1', 'this', 'introduces', 'an', 'inherent', 'dependence', 'of', 'the', 'derived', 'cross', 'section', 'on', 'the', 'general', 'understanding', 'and', 'modeling', 'of', 'air', 'showers', 'and', 'therfore', 'on', 'the', 'hadronic', 'interaction', 'model', 'used', 'for', 'the', 'monte', 'carlo', 'simulation', 'we', 'quantify', 'the', 'uncertainties', 'arising', 'from', 'the', 'model', 'dependence', 'by', 'varying', 'some', 'characteristic', 'features', 'of', 'highenergy', 'hadron', 'production']] | [-0.058712409651311845, 0.19690501868595753, -0.10590232511901337, 0.14321862699706916, -0.010404837188189445, -0.004602530643181956, -0.046226246863522606, 0.35930923824401007, -0.2782854404543405, -0.356722626802714, -0.007605917477453856, -0.35271522732775495, -0.008496987236582714, 0.17581468357947533, 0.07654958437804295, 0.06233601819561876, 0.09386248151447786, -0.0064247438835951945, -0.023676361338458147, -0.15357226002151553, 0.3123211954345765, 0.2001514783291065, 0.25908655242427536, 0.1876620352409942, 0.11496845002022936, 0.056744345773578335, -0.1087715559952852, -0.04044047017865207, -0.14462049209067354, 0.08718593894382534, 0.22387033716481908, 0.10570731544664697, 0.10962895290836257, -0.41303377169305866, -0.19299528926367993, 0.12910155976272147, 0.12503823052038965, 0.06344197905905868, -0.03893165709248379, -0.2569633951896559, 0.04251680587539854, -0.22119578762465844, -0.1383439591822579, 0.029349685087800025, -0.059783030317529386, 0.022163613767201162, -0.23286922802217305, 0.03538415533004571, -0.020670347195118666, 0.041703454911222924, -0.015771487924148855, -0.14617544435187366, -0.02249131337132143, 0.1092788827099392, 0.1014600594882327, 0.04034130023792386, 0.20761877880229251, -0.1442791494368778, -0.11152009319352067, 0.4240066122182685, -0.06362759652547538, -0.14938614930066726, 0.15780033507870267, -0.19235919783215807, -0.14262509622773076, 0.22021696774855903, 0.22344356356087425, 0.06257020575804231, -0.1974095682816013, 0.08167242719994292, 0.04657852469902971, 0.15305000072922154, 0.036487170414108296, -0.0279005054885562, 0.2026447055456431, 0.19427698725915474, 0.03346550634697727, 0.06471636129249617, -0.17864146723169025, -0.05323213403690202, -0.37225448669784744, -0.14496340892561105, -0.14886672167188447, 0.08013546217711258, -0.09800027459429618, -0.1609532991727895, 0.37139518709610336, 0.17157840487931897, 0.21577650153928477, -0.007390962144278962, 0.3310137428748219, 0.08772789181068377, -5.29110669563322e-05, 0.021884651478056027, 0.28043614562484437, 0.13677288343846475, 0.10249231138631054, -0.2178629727244539, 0.13797439434768066, 0.0292638856958112] |
709.1393 | In-medium modification and decay asymmetry of omega mesons in cold
nuclear matter | We discuss an asymmetry of the decay $\omega->e^+e^-$ in nuclear matter with
respect to the electron and positron energies. This asymmetry is sensitive to
the properties of the $\omega$ meson self-energy and, in particular, it has a
non-trivial dependence on the $\omega$ energy and momentum. Therefore, this
asymmetry may serve as a powerful tool in studying the properties of the
$\omega$ meson in the nuclear medium.
| nucl-th | we discuss an asymmetry of the decay omegaee in nuclear matter with respect to the electron and positron energies this asymmetry is sensitive to the properties of the omega meson selfenergy and in particular it has a nontrivial dependence on the omega energy and momentum therefore this asymmetry may serve as a powerful tool in studying the properties of the omega meson in the nuclear medium | [['we', 'discuss', 'an', 'asymmetry', 'of', 'the', 'decay', 'omegaee', 'in', 'nuclear', 'matter', 'with', 'respect', 'to', 'the', 'electron', 'and', 'positron', 'energies', 'this', 'asymmetry', 'is', 'sensitive', 'to', 'the', 'properties', 'of', 'the', 'omega', 'meson', 'selfenergy', 'and', 'in', 'particular', 'it', 'has', 'a', 'nontrivial', 'dependence', 'on', 'the', 'omega', 'energy', 'and', 'momentum', 'therefore', 'this', 'asymmetry', 'may', 'serve', 'as', 'a', 'powerful', 'tool', 'in', 'studying', 'the', 'properties', 'of', 'the', 'omega', 'meson', 'in', 'the', 'nuclear', 'medium']] | [-0.0989641078389608, 0.17431473873327308, -0.1545525483142298, 0.13942546347836748, -0.06096089834777208, -0.04614301445679023, 0.011618581510936985, 0.3398003421150721, -0.2613062922412959, -0.2569285478989164, -0.00338771423110022, -0.30496624088487945, -0.003585302457213402, 0.1493895272885521, 0.05810340869312103, 0.03318943538201543, -0.020786695683804843, 0.07782715325458692, -0.04727324493086109, -0.10333267176667085, 0.3361396781527079, 0.08192353940282304, 0.221993684854645, 0.1959631125872525, 0.029533794751534094, 0.019217244173901585, -0.011147978955593246, -0.007745050896818821, -0.13015640288627206, 0.07671847949520899, 0.2262142867423021, 0.05729920205731805, 0.19506585838703008, -0.39068645728895296, -0.15260760854356564, 0.14653808003148208, 0.14470407808056243, 0.08434333920908663, -0.10010738565693968, -0.26825709033470885, 0.047848687034386855, -0.16443939461157872, -0.1885125985637737, -0.10613154244537537, 0.05910579416041191, 0.027831326367763372, -0.2791142120097692, 0.10442382822243067, 0.002647409616754605, -0.021956174204555843, -0.06637637375925597, -0.13067834198188324, -0.014106246044572729, 0.05722069767518685, 0.10471272183080706, 0.10509036012853568, 0.15662899983760256, -0.16424985684884283, -0.05964201207344349, 0.4148894184197371, -0.07040685431028788, -0.20338981908101303, 0.15197834166196678, -0.22741049197144234, -0.13862591851502656, 0.10170623684803454, 0.18788957155237979, 0.09323596788140444, -0.14102866214055282, 0.12319526369772994, -0.049119890911074784, 0.15914210218649644, 0.035315668715450624, 0.1437925181709803, 0.20146265508463748, 0.20490920445881783, 0.04170554970892576, 0.11040260124091919, -0.0986149112873066, -0.012303696271891778, -0.33392150510962193, -0.15502727228001906, -0.13471547592646227, 0.07925248548675042, -0.0497345424393783, -0.11077541908105978, 0.4552937937470583, 0.05026781190938961, 0.24521732694970874, -0.10090114573160043, 0.3336669412943033, 0.13247686627213484, 0.0629986634119772, 0.06653494731021616, 0.2768985782105189, 0.21351017576570694, 0.16396695794537663, -0.3396356388854866, 0.05477291989641694, -0.03634379237460402] |
709.1394 | Recent Star Formation in Nearby Early-type Galaxies | Motivated by recent progress in the study of early-type galaxies owing to
technological advances, the launch of new space telescopes and large
ground-based surveys, we attempt a short review of our current understanding of
the recent star-formation activity in such intriguing galactic systems.
| astro-ph | motivated by recent progress in the study of earlytype galaxies owing to technological advances the launch of new space telescopes and large groundbased surveys we attempt a short review of our current understanding of the recent starformation activity in such intriguing galactic systems | [['motivated', 'by', 'recent', 'progress', 'in', 'the', 'study', 'of', 'earlytype', 'galaxies', 'owing', 'to', 'technological', 'advances', 'the', 'launch', 'of', 'new', 'space', 'telescopes', 'and', 'large', 'groundbased', 'surveys', 'we', 'attempt', 'a', 'short', 'review', 'of', 'our', 'current', 'understanding', 'of', 'the', 'recent', 'starformation', 'activity', 'in', 'such', 'intriguing', 'galactic', 'systems']] | [-0.11705572363855533, 0.0938960881037421, 0.010240887226753457, 0.04998921931093169, -0.14328244241864183, 0.016410277950642413, 0.014429033603952375, 0.39841456867234654, -0.15105298933638042, -0.3611611312385215, 0.10550950013296029, -0.28090671442319143, -0.18851019203836142, 0.2534471740404707, -0.10095733665146453, 0.04986844060206136, 0.11157469499076522, -0.17674165422659974, -0.05279739238971541, -0.3117076173251451, 0.29442916287455795, 0.11335099768976487, 0.2276494237486013, 0.019486512339045834, 0.07553202438514767, -0.075793934520334, -0.18695845648776308, -0.021311851876901548, -0.2033961432617764, 0.1797691419135866, 0.3084926905846873, 0.19085919766058757, 0.3125796530309112, -0.4612624745945944, -0.2662613591352521, 0.08944423765290616, 0.16421681510414496, 0.07746915546852316, -0.1468532455565278, -0.33102359146226285, -0.03938289777224147, -0.19830063331958858, -0.17516267001303995, -0.026989834816303362, 0.09193642771001471, 0.08885667738937882, -0.0927528357106196, 0.02215253010522141, 0.04589196987623392, 0.1314537524870735, -0.06412536883726716, -0.07019196718194803, 0.07433929903497703, 0.1096291391417211, 0.09486187680429498, 0.14984666226366752, 0.11494099245904836, -0.2502068458774755, -0.12037193810913799, 0.3800380858051222, -0.05675633014504646, 0.08360152530787122, 0.25540042633927146, -0.233926348810539, -0.25818941110831706, 0.03697379448364467, 0.24433291322270104, 0.12165707447241213, -0.15497768509504928, 0.06409803550381776, 0.012346767159828614, 0.1148304321131734, -0.05331711408270653, 0.11783416079747122, 0.3763808852798024, 0.25984553752337086, 0.07569121359306019, 0.054283496382278064, -0.14193142404736475, -0.03636543699648491, -0.21888857955372956, -0.12267079446897951, -0.14371420406238283, 0.1483340288057577, -0.024773019809630526, -0.03507151515331379, 0.3947815471328795, 0.18419513757189, 0.23994714957337046, -0.005985375044347588, 0.33991475576578184, -0.014126148970992587, 0.1288739272588214, 0.0144656065656522, 0.3363991190874299, 0.1408588715536563, 0.15813563614650522, -0.20736875021180443, 0.07630571654218055, -0.026939173889627983] |
709.1395 | Statistical stability of equilibrium states for interval maps | We consider families of multimodal interval maps with polynomial growth of
the derivative along the critical orbits. For these maps Bruin and Todd have
shown the existence and uniqueness of equilibrium states for the potential
$\phi_t:x\mapsto-t\log|Df(x)|$, for $t$ close to 1. We show that these
equilibrium states vary continuously in the weak$^*$ topology within such
families. Moreover, in the case $t=1$, when the equilibrium states are
absolutely continuous with respect to Lebesgue, we show that the densities vary
continuously within these families.
| math.DS | we consider families of multimodal interval maps with polynomial growth of the derivative along the critical orbits for these maps bruin and todd have shown the existence and uniqueness of equilibrium states for the potential phi_txmapstotlogdfx for t close to 1 we show that these equilibrium states vary continuously in the weak topology within such families moreover in the case t1 when the equilibrium states are absolutely continuous with respect to lebesgue we show that the densities vary continuously within these families | [['we', 'consider', 'families', 'of', 'multimodal', 'interval', 'maps', 'with', 'polynomial', 'growth', 'of', 'the', 'derivative', 'along', 'the', 'critical', 'orbits', 'for', 'these', 'maps', 'bruin', 'and', 'todd', 'have', 'shown', 'the', 'existence', 'and', 'uniqueness', 'of', 'equilibrium', 'states', 'for', 'the', 'potential', 'phi_txmapstotlogdfx', 'for', 't', 'close', 'to', '1', 'we', 'show', 'that', 'these', 'equilibrium', 'states', 'vary', 'continuously', 'in', 'the', 'weak', 'topology', 'within', 'such', 'families', 'moreover', 'in', 'the', 'case', 't1', 'when', 'the', 'equilibrium', 'states', 'are', 'absolutely', 'continuous', 'with', 'respect', 'to', 'lebesgue', 'we', 'show', 'that', 'the', 'densities', 'vary', 'continuously', 'within', 'these', 'families']] | [-0.12236127260652727, 0.17357425763628181, -0.07475673084084036, 0.07375310274001992, 0.05596793511951411, -0.10639737239452424, 0.02298321818679939, 0.39842479217820514, -0.32249390920279203, -0.2263318916795672, 0.10600075106147999, -0.3027963889877737, -0.089410434189586, 0.17428151281251583, -0.03169805618623892, 0.0920679039310342, 0.026342115336224253, 0.06305707208840981, -0.0897678997034184, -0.24344455412255578, 0.39125575047032335, -0.07250156048915268, 0.21071325824308543, 0.03763609741710954, 0.0633284507756248, -0.019393849612018208, 0.051457395840344235, 0.008827471904410624, -0.18707839607201476, 0.08704082134401103, 0.23178891451270492, 0.06611778898980974, 0.22973261152129668, -0.3529573473159546, -0.19920052754129342, 0.1839774818516072, 0.09723382205759853, 0.0466528030882739, -0.02332467709403531, -0.28563835667618726, 0.1027150237041721, -0.13775171741935205, -0.18431013936383855, -0.1351018222393813, 0.07969054914321061, 0.12110616148659316, -0.26262065685457653, 0.06661765326826292, 0.07282155426793996, 0.04275277766318601, -0.13096184316263706, -0.1158806476512073, -0.08852147951975096, 0.13214817061268633, 0.04595359033519793, 0.021897518903844886, 0.08385193957314815, -0.07653931731841078, -0.09987997971360146, 0.2843536654096327, -0.09865732396159459, -0.21606238991206075, 0.22900634905162418, -0.21718316272843952, -0.1877666685419778, 0.10484871515014944, 0.12779515210171172, 0.12784732447615194, -0.06366776529340976, 0.11178919934397448, -0.03503846172473313, 0.12410360854693953, 0.10636977524853047, 0.025271922910448025, 0.19404163286319853, 0.04431028823644199, 0.19261318581167286, 0.15068906377771019, -0.03734369764541402, -0.16227281168333174, -0.3183630117111736, -0.13664195328709428, -0.11562932175756604, 0.05089907584148517, -0.06782917619106521, -0.1856627501788072, 0.42035300183443375, 0.12953911054833436, 0.238370343076962, 0.11746900755176205, 0.1716972286755472, 0.11625754736639836, 0.016589711707683256, 0.09413727583869556, 0.23843095966695269, 0.10777757017884726, 0.05736635965697559, -0.17905042301231053, 0.05672704438854262, 0.04003001098739512] |
709.1396 | A Brownian quasi-helix in IR4, built from an automatic sequence | We describe a brownian quasi-helix in R^4 by means of an automatic sequence
| math.CO | we describe a brownian quasihelix in r4 by means of an automatic sequence | [['we', 'describe', 'a', 'brownian', 'quasihelix', 'in', 'r4', 'by', 'means', 'of', 'an', 'automatic', 'sequence']] | [-0.12005824804509757, 0.11321770761787775, -0.08733536240955193, 0.03434369899332523, -0.007786053232848644, -0.010155752572851876, -0.004139361117267981, 0.466553704192241, -0.2720738844946027, -0.22281572548672557, 0.07275848229376909, -0.23601393510277072, -0.25203414137164754, 0.2129826700935761, -0.21390553509506086, 0.044239408462696396, -0.003344800944129626, 0.030636384889173012, 0.05298895854502916, -0.19237189375174543, 0.2834552489221096, -0.06645523539433877, 0.08489146114637454, -0.06391224001223843, 0.15835341718047857, 0.0600221617690598, -0.1325419032946229, -0.011497832601889968, -0.20676541134404638, 0.13387754885479808, 0.17331420463354638, 0.05411726546784242, 0.2980056994905074, -0.4120018680114299, -0.1296293462316195, 0.1060026924436291, 0.20458816659326354, 0.09365129377692938, -0.10382320545613766, -0.3438984927876542, 0.09483067605954905, -0.18672058951536505, -0.1642225026541079, -0.14692330469066897, 0.051407291243473686, 0.06101420219056308, -0.24617942857245603, 0.00870203118150433, 0.13943203740442792, 0.14789213341039917, -0.0136845619417727, 0.016046964408208925, 0.08012250053191868, 0.17504123726394027, 0.04127265481899182, 0.08246659860014915, 0.1002972398030882, -0.14071237482130527, -0.18514117191080004, 0.3513800245709717, -0.189681129452462, -0.29023508355021477, 0.11453954378763835, -0.08136696061895539, -0.1669839151824514, 0.15244636855398616, 0.11119593493640423, 0.16720887479217103, -0.26580041491736967, 0.13453627936542034, -0.012777973402990028, 0.19852728179345527, 0.054585386048226305, -0.08493051491677761, 0.2271773579219977, 0.24722887141009173, 0.1027284221102794, 0.18155863353361687, -0.052594905719161034, -0.018834910976390045, -0.3310805228538811, -0.24941987668474516, -0.19162683055037633, 0.09089529141783714, -0.1316275144830191, -0.1919529295216004, 0.33577900752425194, 0.07518190269668897, 0.2534900677079956, 0.05003233618723849, 0.21389776336339614, 0.1443860619328916, -0.02384458513309558, 0.05066968143607179, 0.1251332227451106, 0.05310243649485832, 0.033508784137666225, -0.18531600828282535, -0.062408739739718534, 0.2397652994065235] |
709.1397 | THEA: ontology-driven analysis of microarray data | MOTIVATION: Microarray technology makes it possible to measure thousands of
variables and to compare their values under hundreds of conditions. Once
microarray data are quantified, normalized and classified, the analysis phase
is essentially a manual and subjective task based on visual inspection of
classes in the light of the vast amount of information available. Currently,
data interpretation clearly constitutes the bottleneck of such analyses and
there is an obvious need for tools able to fill the gap between data processed
with mathematical methods and existing biological knowledge. RESULTS: THEA
(Tools for High-throughput Experiments Analysis) is an integrated information
processing system allowing convenient handling of data. It allows to
automatically annotate data issued from classification systems with selected
biological information coming from a knowledge base and to either manually
search and browse through these annotations or automatically generate
meaningful generalizations according to statistical criteria (data mining).
AVAILABILITY: The software is available on the website http://thea.unice.fr/
| q-bio.QM | motivation microarray technology makes it possible to measure thousands of variables and to compare their values under hundreds of conditions once microarray data are quantified normalized and classified the analysis phase is essentially a manual and subjective task based on visual inspection of classes in the light of the vast amount of information available currently data interpretation clearly constitutes the bottleneck of such analyses and there is an obvious need for tools able to fill the gap between data processed with mathematical methods and existing biological knowledge results thea tools for highthroughput experiments analysis is an integrated information processing system allowing convenient handling of data it allows to automatically annotate data issued from classification systems with selected biological information coming from a knowledge base and to either manually search and browse through these annotations or automatically generate meaningful generalizations according to statistical criteria data mining availability the software is available on the website httptheaunicefr | [['motivation', 'microarray', 'technology', 'makes', 'it', 'possible', 'to', 'measure', 'thousands', 'of', 'variables', 'and', 'to', 'compare', 'their', 'values', 'under', 'hundreds', 'of', 'conditions', 'once', 'microarray', 'data', 'are', 'quantified', 'normalized', 'and', 'classified', 'the', 'analysis', 'phase', 'is', 'essentially', 'a', 'manual', 'and', 'subjective', 'task', 'based', 'on', 'visual', 'inspection', 'of', 'classes', 'in', 'the', 'light', 'of', 'the', 'vast', 'amount', 'of', 'information', 'available', 'currently', 'data', 'interpretation', 'clearly', 'constitutes', 'the', 'bottleneck', 'of', 'such', 'analyses', 'and', 'there', 'is', 'an', 'obvious', 'need', 'for', 'tools', 'able', 'to', 'fill', 'the', 'gap', 'between', 'data', 'processed', 'with', 'mathematical', 'methods', 'and', 'existing', 'biological', 'knowledge', 'results', 'thea', 'tools', 'for', 'highthroughput', 'experiments', 'analysis', 'is', 'an', 'integrated', 'information', 'processing', 'system', 'allowing', 'convenient', 'handling', 'of', 'data', 'it', 'allows', 'to', 'automatically', 'annotate', 'data', 'issued', 'from', 'classification', 'systems', 'with', 'selected', 'biological', 'information', 'coming', 'from', 'a', 'knowledge', 'base', 'and', 'to', 'either', 'manually', 'search', 'and', 'browse', 'through', 'these', 'annotations', 'or', 'automatically', 'generate', 'meaningful', 'generalizations', 'according', 'to', 'statistical', 'criteria', 'data', 'mining', 'availability', 'the', 'software', 'is', 'available', 'on', 'the', 'website', 'httptheaunicefr']] | [-0.03750842679718059, -0.0017170840514796402, -0.07897524060864075, 0.09129064854879687, -0.17876666276472214, -0.1451311757775888, 0.10395265801572333, 0.39470977993876816, -0.27671133305609613, -0.3948084259393558, 0.14248283529042394, -0.35014153605646964, -0.09795499373428232, 0.2565029212091045, -0.08977036251461291, 0.09078827743455417, 0.14633505380776363, 0.05122051452396109, -0.014601525147917249, -0.24141161999318236, 0.30144696716931374, 0.04998572486349278, 0.35344562867315477, 0.016072785300339627, 0.06752573705302685, -0.01014791293453206, -0.16865536907468648, -0.04226490159354856, -0.1057749279665158, 0.18889799285558315, 0.3667521022406279, 0.28205131279195056, 0.28277010099317124, -0.42843735831625324, -0.15937522630468984, 0.09845371328269929, 0.11374209691873854, 0.10278484856731143, -0.03741696068950095, -0.3333734129403346, 0.07062748489213584, -0.10654040733032732, -0.05200285290472904, -0.16061318615828854, 0.010663640603203984, -0.011002966851449504, -0.2675426345367252, 0.021284342544104638, -0.0024159551518999674, 0.1310172999776851, -0.04064768509447782, -0.08835636427720363, -0.03128476802935349, 0.2180228976736734, 0.05739288176394682, 0.010794308461900192, 0.15975633464461447, -0.11887773080520465, -0.11488997109623905, 0.38004275365105644, 0.007476008089344486, -0.18905305757881233, 0.23009600720194845, -0.035059804320518, -0.15469218849575792, 0.151406652790196, 0.16399171535729193, 0.06003221425568697, -0.25285611584557377, -0.0022063702249783853, 0.026965840705944336, 0.2369372298335352, 0.036955157728573565, 0.021880272684582307, 0.20355357634195803, 0.2173597669362827, -0.011254696145020669, 0.11487024931961463, -0.08594235158723237, -0.06270547010639098, -0.25036372013201363, -0.11521068040062399, -0.20162918550431047, -0.0034164362176157094, -0.07224416294147708, -0.14686867530195932, 0.3229373865730427, 0.21099705288028406, 0.15992800577001925, 0.0240086425975379, 0.3449557283345391, -0.012279529647986873, 0.1550659240461767, 0.04104939113588687, 0.13138562369044698, 0.04118860027223241, 0.15279569707086516, -0.11978468021341399, 0.1001940412245983, -0.030353421899277012] |
709.1398 | A topological characterisation of holomorphic parabolic germs in the
plane | Gambaudo and P\'ecou introduced the ``linking property'' to study the
dynamics of germs of planar homeomorphims and provide a new proof of Naishul
theorem in their paper "A topological invariant for volume preserving
diffeomorphisms" (Ergodic Theory Dynam. Systems 15 (1995), no. 3, 535--541). In
this paper we prove that the negation of Gambaudo-P\'ecou property
characterises the topological dynamics of holomorphic parabolic germs. As a
consequence, a rotation set for germs of surface homeomorphisms around a fixed
point can be defined, and it will turn out to be non trivial except for
countably many conjugacy classes.
| math.DS | gambaudo and pecou introduced the linking property to study the dynamics of germs of planar homeomorphims and provide a new proof of naishul theorem in their paper a topological invariant for volume preserving diffeomorphisms ergodic theory dynam systems 15 1995 no 3 535541 in this paper we prove that the negation of gambaudopecou property characterises the topological dynamics of holomorphic parabolic germs as a consequence a rotation set for germs of surface homeomorphisms around a fixed point can be defined and it will turn out to be non trivial except for countably many conjugacy classes | [['gambaudo', 'and', 'pecou', 'introduced', 'the', 'linking', 'property', 'to', 'study', 'the', 'dynamics', 'of', 'germs', 'of', 'planar', 'homeomorphims', 'and', 'provide', 'a', 'new', 'proof', 'of', 'naishul', 'theorem', 'in', 'their', 'paper', 'a', 'topological', 'invariant', 'for', 'volume', 'preserving', 'diffeomorphisms', 'ergodic', 'theory', 'dynam', 'systems', '15', '1995', 'no', '3', '535541', 'in', 'this', 'paper', 'we', 'prove', 'that', 'the', 'negation', 'of', 'gambaudopecou', 'property', 'characterises', 'the', 'topological', 'dynamics', 'of', 'holomorphic', 'parabolic', 'germs', 'as', 'a', 'consequence', 'a', 'rotation', 'set', 'for', 'germs', 'of', 'surface', 'homeomorphisms', 'around', 'a', 'fixed', 'point', 'can', 'be', 'defined', 'and', 'it', 'will', 'turn', 'out', 'to', 'be', 'non', 'trivial', 'except', 'for', 'countably', 'many', 'conjugacy', 'classes']] | [-0.22104261333511754, 0.08739964607437807, -0.11005116860730225, 0.07346304409221265, -0.05746836999461955, -0.12866772391454695, 0.041794474969699895, 0.2834178598413428, -0.31145516700101095, -0.19317719927774027, 0.0905344656817001, -0.26642692849746197, -0.15673405132614648, 0.21517336551755012, -0.12933666985686665, 0.06745530715580661, 0.006787081660989385, 0.034332637718922185, -0.09992447052058856, -0.2177329213655257, 0.37196001895590797, -0.06936044719487244, 0.20582982773923283, 0.08542373329708046, 0.11234457096965103, -0.004306398132549865, -0.02907589765695425, 0.048531593481119684, -0.14490986790210278, 0.08106440972987113, 0.2801920372869942, 0.06395948489112166, 0.2505114200156551, -0.3368590859348302, -0.1667852704182963, 0.19042417674151424, 0.11855739827912587, 0.013689352373418572, -0.03886553171541091, -0.31224644166714216, 0.13543320697563405, -0.14456816210544535, -0.20927289285400247, -0.10780859187982239, 0.05134107551158785, -0.005523308986224807, -0.20235029368528298, -0.00617314718029165, 0.21539617557037663, 0.1736960554045144, -0.03913473423153346, 0.018576660500532322, -0.10603532290526226, 0.10952071543107485, 0.01770627378885235, 0.08350132712531466, 0.13246908247378747, -0.0351351757231936, -0.12451640478908442, 0.3857997118771731, -0.059345091196739086, -0.23427978057700855, 0.19771765855366139, -0.1642455062010213, -0.24020096373099548, 0.1392419663293717, 0.1362274473092959, 0.14089731964190583, -0.1252115500763386, 0.17081237003874997, -0.12532602383877958, 0.0967882182516265, 0.11927104813998544, 0.027222147373902193, 0.1749886597742091, 0.08858322094266231, 0.14396937069634058, 0.1370488852895745, 0.03403952031570313, -0.05508418663681208, -0.33417294387306484, -0.21974393940315798, -0.09105483395978808, 0.13578174481229796, -0.05894261361614694, -0.22719273221957917, 0.4138708773406816, 0.06747186219237827, 0.17938939763417283, 0.14462971315811296, 0.18661366450436578, 0.08029731525032101, 0.0309590444526543, 0.08064464628434187, 0.16452411468560388, 0.19019125759151284, -0.012497449347462792, -0.11974082213754837, 0.015247658718950473, 0.18394722533156418] |
709.1399 | Weakly polydisperse systems: Perturbative phase diagrams that include
the critical region | The phase behaviour of a weakly polydisperse system, such as a colloid with a
small spread of particle sizes, can be related perturbatively to that of its
monodisperse counterpart. I show how this approach can be generalized to remain
well-behaved near critical points, avoiding the divergences of existing methods
and giving access to some of the key qualitative features of polydisperse phase
equilibria. The analysis explains also why in purely size polydisperse systems
the critical point is, unusually, located very near the maximum of the cloud
and shadow curves.
| cond-mat.soft cond-mat.mtrl-sci cond-mat.stat-mech | the phase behaviour of a weakly polydisperse system such as a colloid with a small spread of particle sizes can be related perturbatively to that of its monodisperse counterpart i show how this approach can be generalized to remain wellbehaved near critical points avoiding the divergences of existing methods and giving access to some of the key qualitative features of polydisperse phase equilibria the analysis explains also why in purely size polydisperse systems the critical point is unusually located very near the maximum of the cloud and shadow curves | [['the', 'phase', 'behaviour', 'of', 'a', 'weakly', 'polydisperse', 'system', 'such', 'as', 'a', 'colloid', 'with', 'a', 'small', 'spread', 'of', 'particle', 'sizes', 'can', 'be', 'related', 'perturbatively', 'to', 'that', 'of', 'its', 'monodisperse', 'counterpart', 'i', 'show', 'how', 'this', 'approach', 'can', 'be', 'generalized', 'to', 'remain', 'wellbehaved', 'near', 'critical', 'points', 'avoiding', 'the', 'divergences', 'of', 'existing', 'methods', 'and', 'giving', 'access', 'to', 'some', 'of', 'the', 'key', 'qualitative', 'features', 'of', 'polydisperse', 'phase', 'equilibria', 'the', 'analysis', 'explains', 'also', 'why', 'in', 'purely', 'size', 'polydisperse', 'systems', 'the', 'critical', 'point', 'is', 'unusually', 'located', 'very', 'near', 'the', 'maximum', 'of', 'the', 'cloud', 'and', 'shadow', 'curves']] | [-0.12250563531611743, 0.14223920845876584, -0.1551202696884114, 0.07191813019303124, -0.012951169717596488, -0.1578920560187838, 0.0684456160380976, 0.3458637328964941, -0.2764898893172235, -0.27566299217052004, 0.1013547777828729, -0.3152349811110101, -0.16713651531281765, 0.1565529652779629, -0.08331214303276345, 0.06678273363412997, 0.0353287302612934, 0.0004540471898998772, -0.05654474678240047, -0.22150623597325025, 0.29979363768989364, 0.05483190647295017, 0.22693332448193615, 0.08162129538531383, 0.04752084039402812, -0.014188047092973013, 0.0669773084823084, 0.09902890244749991, -0.11510858135966628, 0.07767677433616116, 0.2553749443188812, 0.06736842177682713, 0.20834486032679175, -0.36917617082009824, -0.19582710120031674, 0.12415549835828499, 0.19521083068128758, 0.08817964887476704, -0.015899662227955847, -0.23096817376332754, 0.08390034882749399, -0.12787464145359093, -0.22413873706494322, -0.08197934318626865, 0.020451534126121343, 0.06449156627058983, -0.21383068585617346, 0.06870292429256336, 0.06727290720668401, 0.0513012536037504, -0.05133988323302291, -0.0805610617232938, -0.012959652444284953, 0.13076790570794197, 0.04893359515993866, 0.0015458333243228747, 0.17289710287632568, -0.16429260486391573, -0.05898597219100829, 0.4296803389770094, -0.018266169440650036, -0.15684315665844786, 0.2436616842771012, -0.15567901237668952, -0.09325690049510658, 0.20811981730832813, 0.16485052380522483, 0.13573497375787308, -0.12257617283507846, 0.049145339510738434, -0.03961889337999432, 0.1897260982015437, 0.04002545385757524, 0.0327670881838611, 0.26893283585818967, 0.1705200242619632, 0.04832674796284919, 0.17255929174042944, -0.09811972400299117, -0.1684637184181575, -0.26823721903512315, -0.1377061792659793, -0.17718901394165298, 0.015399521929630487, -0.1387640635239018, -0.23720151972904635, 0.3453603811520204, 0.16449747474771254, 0.23860919566594818, 0.03231780688550449, 0.25516436433974193, 0.09761871813058727, 0.045416176591194075, 0.07571692167770828, 0.24427142181189135, 0.06953491469363818, 0.11678411152862599, -0.22532835897853534, 0.062662497586623, 0.046486079849151034] |
709.14 | Dark Energy as a Relic of the Vacuum-Energy Cancellation? | We analyze the dynamical implications of an exponential Lagrangian density
for the gravitational field, as referred to an isotropic FRW Universe. Then, we
discuss the features of the generalized deSitter phase, predicted by the new
Friedmann equation. The existence of a consistent deSitter solution arises only
if the ratio between the vacuum-energy density and that associated with the
fundamental length of the theory acquires a tantalizing negative character.
This choice allows us to explain the present universe dark energy as a relic of
the vacuum-energy cancellation due to the cosmological constant intrinsically
contained in our scheme. The corresponding scalar-tensor description of the
model is addressed too, and the behavior of the scalar field is analyzed for
both negative and positive values of the cosmological term. In the first case,
the Friedmann equation is studied both in vacuum and in presence of external
matter, while, in the second case, the quantum regime is approached in the
framework of ''repulsive'' properties of the gravitational interaction, as
described in recent issues in Loop Quantum Cosmology. In particular, in the
vacuum case, we find a pure non-Einsteinian effect, according to which a
negative cosmological constant provides an accelerating deSitter dynamics, in
the region where the series expansion of the exponential term does not hold.
| gr-qc | we analyze the dynamical implications of an exponential lagrangian density for the gravitational field as referred to an isotropic frw universe then we discuss the features of the generalized desitter phase predicted by the new friedmann equation the existence of a consistent desitter solution arises only if the ratio between the vacuumenergy density and that associated with the fundamental length of the theory acquires a tantalizing negative character this choice allows us to explain the present universe dark energy as a relic of the vacuumenergy cancellation due to the cosmological constant intrinsically contained in our scheme the corresponding scalartensor description of the model is addressed too and the behavior of the scalar field is analyzed for both negative and positive values of the cosmological term in the first case the friedmann equation is studied both in vacuum and in presence of external matter while in the second case the quantum regime is approached in the framework of repulsive properties of the gravitational interaction as described in recent issues in loop quantum cosmology in particular in the vacuum case we find a pure noneinsteinian effect according to which a negative cosmological constant provides an accelerating desitter dynamics in the region where the series expansion of the exponential term does not hold | [['we', 'analyze', 'the', 'dynamical', 'implications', 'of', 'an', 'exponential', 'lagrangian', 'density', 'for', 'the', 'gravitational', 'field', 'as', 'referred', 'to', 'an', 'isotropic', 'frw', 'universe', 'then', 'we', 'discuss', 'the', 'features', 'of', 'the', 'generalized', 'desitter', 'phase', 'predicted', 'by', 'the', 'new', 'friedmann', 'equation', 'the', 'existence', 'of', 'a', 'consistent', 'desitter', 'solution', 'arises', 'only', 'if', 'the', 'ratio', 'between', 'the', 'vacuumenergy', 'density', 'and', 'that', 'associated', 'with', 'the', 'fundamental', 'length', 'of', 'the', 'theory', 'acquires', 'a', 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709.1401 | A proof of strong normalisation using domain theory | Ulrich Berger presented a powerful proof of strong normalisation using
domains, in particular it simplifies significantly Tait's proof of strong
normalisation of Spector's bar recursion. The main contribution of this paper
is to show that, using ideas from intersection types and Martin-Lof's domain
interpretation of type theory one can in turn simplify further U. Berger's
argument. We build a domain model for an untyped programming language where U.
Berger has an interpretation only for typed terms or alternatively has an
interpretation for untyped terms but need an extra condition to deduce strong
normalisation. As a main application, we show that Martin-L\"{o}f dependent
type theory extended with a program for Spector double negation shift.
| cs.LO cs.PL | ulrich berger presented a powerful proof of strong normalisation using domains in particular it simplifies significantly taits proof of strong normalisation of spectors bar recursion the main contribution of this paper is to show that using ideas from intersection types and martinlofs domain interpretation of type theory one can in turn simplify further u bergers argument we build a domain model for an untyped programming language where u berger has an interpretation only for typed terms or alternatively has an interpretation for untyped terms but need an extra condition to deduce strong normalisation as a main application we show that martinlof dependent type theory extended with a program for spector double negation shift | [['ulrich', 'berger', 'presented', 'a', 'powerful', 'proof', 'of', 'strong', 'normalisation', 'using', 'domains', 'in', 'particular', 'it', 'simplifies', 'significantly', 'taits', 'proof', 'of', 'strong', 'normalisation', 'of', 'spectors', 'bar', 'recursion', 'the', 'main', 'contribution', 'of', 'this', 'paper', 'is', 'to', 'show', 'that', 'using', 'ideas', 'from', 'intersection', 'types', 'and', 'martinlofs', 'domain', 'interpretation', 'of', 'type', 'theory', 'one', 'can', 'in', 'turn', 'simplify', 'further', 'u', 'bergers', 'argument', 'we', 'build', 'a', 'domain', 'model', 'for', 'an', 'untyped', 'programming', 'language', 'where', 'u', 'berger', 'has', 'an', 'interpretation', 'only', 'for', 'typed', 'terms', 'or', 'alternatively', 'has', 'an', 'interpretation', 'for', 'untyped', 'terms', 'but', 'need', 'an', 'extra', 'condition', 'to', 'deduce', 'strong', 'normalisation', 'as', 'a', 'main', 'application', 'we', 'show', 'that', 'martinlof', 'dependent', 'type', 'theory', 'extended', 'with', 'a', 'program', 'for', 'spector', 'double', 'negation', 'shift']] | [-0.09031304085536539, 0.0009663739345712275, -0.12396017455421718, 0.09856170381571834, -0.17746814831975946, -0.18247185757927661, 0.061123029657524176, 0.29983674928100895, -0.3169092828721072, -0.2664596891994959, 0.07204333542994495, -0.19404143409234825, -0.13900774675915925, 0.18058644032798113, -0.1372300745276487, -0.045694279300040705, 0.059645294632136296, 0.01642158745779796, -0.036947624147993276, -0.2061549008275852, 0.34648692331779585, -0.026874631536151983, 0.244568654385486, 0.08384105391116335, 0.06307046496581319, 0.07273555722549162, -0.04627066044614906, 0.03422581536728328, -0.11868208612120129, 0.1392572228879198, 0.25606219865694907, 0.17151305967925395, 0.2629197125644547, -0.3973785808095626, -0.175869739499042, 0.07252901271850992, 0.1627096283966593, 0.09990965795035647, -0.01424704440915751, -0.27572926902006156, 0.09273180300452277, -0.20844787184511665, -0.14111001773086268, -0.10465064226954648, 0.08318670893467106, -0.0031890895473152664, -0.27125241444137077, 0.01537632223515384, 0.1837719508211862, 0.07677147234171892, -0.0403771686668516, -0.11092806191995443, 0.005677701188333794, 0.03667741499385854, 0.027024961012802953, 0.1025107719366793, 0.06273802776153373, -0.09294889716068859, -0.159240541085436, 0.31099417340834584, -0.10782423199245096, -0.2034001628068828, 0.1992534130875565, -0.053588510552767366, -0.2041812137354462, 0.06531107075825597, 0.08006162999972569, 0.09411716410082525, -0.11642949468563352, 0.1659728167491009, -0.060070287914270847, 0.23238453366257975, 0.1309902845939572, 0.02455935234500639, 0.14573428817057316, 0.1249296729292193, 0.04601722126167301, 0.13668529259914583, 0.0271847637996605, -0.04769820090696479, -0.39522969933737695, -0.17875742918782891, -0.08455529490658865, 0.05715409382370062, -0.08475446462643073, -0.1942764973778904, 0.31090345133541036, 0.0909595270805984, 0.1338516213824, 0.1233395795807638, 0.25219125363695544, 0.13695623881268043, 0.07240160228684545, 0.007223139419395526, 0.17253174785466915, 0.17343042178112453, 0.0896818260373795, -0.13802150752914624, 0.07645085497668623, 0.1531788769911612] |
709.1402 | Theoretical study of the recombination of Frenkel pairs in irradiated
silicon carbide | The recombination of Frenkel pairs resulting from low energy recoils in
3C-SiC has been investigated using first principles and Nudged Elastic Band
calculations. Several recombination mechanisms have been obtained, involving
direct interstitial migration, atoms exchange, or concerted displacements, with
activation energies ranging from 0.65 eV to 1.84 eV. These results are in
agreement with experimental activation energies. We have determined the
lifetime of the $V_{Si}+Si_{TC}$ Frenkel pair, by computing phonons and the
Arrhenius prefactor. The vibrational contributions to the free energy barrier
have been shown to be negligible in that case.
| cond-mat.mtrl-sci | the recombination of frenkel pairs resulting from low energy recoils in 3csic has been investigated using first principles and nudged elastic band calculations several recombination mechanisms have been obtained involving direct interstitial migration atoms exchange or concerted displacements with activation energies ranging from 065 ev to 184 ev these results are in agreement with experimental activation energies we have determined the lifetime of the v_sisi_tc frenkel pair by computing phonons and the arrhenius prefactor the vibrational contributions to the free energy barrier have been shown to be negligible in that case | [['the', 'recombination', 'of', 'frenkel', 'pairs', 'resulting', 'from', 'low', 'energy', 'recoils', 'in', '3csic', 'has', 'been', 'investigated', 'using', 'first', 'principles', 'and', 'nudged', 'elastic', 'band', 'calculations', 'several', 'recombination', 'mechanisms', 'have', 'been', 'obtained', 'involving', 'direct', 'interstitial', 'migration', 'atoms', 'exchange', 'or', 'concerted', 'displacements', 'with', 'activation', 'energies', 'ranging', 'from', '065', 'ev', 'to', '184', 'ev', 'these', 'results', 'are', 'in', 'agreement', 'with', 'experimental', 'activation', 'energies', 'we', 'have', 'determined', 'the', 'lifetime', 'of', 'the', 'v_sisi_tc', 'frenkel', 'pair', 'by', 'computing', 'phonons', 'and', 'the', 'arrhenius', 'prefactor', 'the', 'vibrational', 'contributions', 'to', 'the', 'free', 'energy', 'barrier', 'have', 'been', 'shown', 'to', 'be', 'negligible', 'in', 'that', 'case']] | [-0.04645015615840546, 0.19549022537345687, -0.021984412340033385, 0.03963208729336556, 0.02826863908622828, -0.12554845343240434, 0.08010853180247876, 0.45790671015468737, -0.2679814937110576, -0.35617811866104604, -0.064504684749732, -0.3621757693381773, -0.04366410532966256, 0.1649286749591637, 0.10148932810730507, 0.0374074001951764, 0.06832155535101063, -0.03181961748438577, -0.031058409828175274, -0.17591936776621475, 0.2205805640771157, 0.12377983797438598, 0.2992398689707948, 0.1820357661228627, 0.023089478796141014, -0.025722753836048974, 0.06442069962568996, -0.017167655161271493, -0.20392106888183562, 0.12847222454535465, 0.29085748008090173, -0.08229013876730783, 0.20679804393504228, -0.469286571111944, -0.23792183198448685, 0.05239036926585767, 0.14174766259578367, 0.1496997145470232, -0.0908953555393964, -0.24526721561172357, 0.052415442179578046, -0.189308985736635, -0.04712369720865455, -0.06826538042061858, 0.04632356966742211, 0.05371238411300712, -0.2084068172947607, 0.1540154984531303, -0.0609255146028267, 0.04154257559299974, -0.16081877803533443, -0.21869637696072458, -0.09488536313745297, 0.07766059493490805, 0.09146804704020421, -0.009732760266504353, 0.1866623914334923, -0.03881018634743264, -0.15808684983187252, 0.39297440484580065, -0.022658120519999, -0.0751388151260067, 0.20236401120200753, -0.09047008065713777, -0.07197196545182831, 0.2907750714156363, 0.08891656095575955, 0.09464361142502943, -0.18302733458371626, 0.08097993076630196, 0.0663869993851727, 0.11872451160517004, 0.12865731201858985, 0.024130437072259762, 0.15431065771521793, 0.12965766329887427, -0.02646537729621438, 0.05495830180459759, -0.13997639554242294, -0.1071256493218243, -0.21498311085419522, -0.12172557657791508, -0.2197668696805421, 0.10050055795970063, 0.015230319619877263, -0.09066154748401864, 0.3441888345922861, 0.05428818651255117, 0.20875976495962176, -0.00894450421134631, 0.2072619272602929, 0.17339054518896674, 0.11798278894275427, 0.01369145689944465, 0.3358060146888925, 0.1371963149531641, 0.07437799350462027, -0.2553501594552977, 0.04730490991431806, 0.016888060669104258] |
709.1403 | Spherically symmetric ADM gravity with variable G and Lambda(c) | This paper investigates the Arnowitt--Deser--Misner (hereafter ADM) form of
spherically symmetric gravity with variable Newton parameter G and cosmological
term Lambda(c). The Newton parameter is here treated as a dynamical variable,
rather than being merely an external parameter as in previous work on closely
related topics. The resulting Hamilton equations are obtained; interestingly, a
static solution exists, that reduces to Schwarzschild geometry in the limit of
constant G, describing a Newton parameter ruled by a nonlinear differential
equation in the radial variable r. A remarkable limiting case is the one for
which the Newton parameter obeys an almost linear growth law at large r. An
exact solution for G as a function of r is also obtained in the case of
vanishing cosmological constant. Some observational implications of these
solutions are obtained and briefly discussed.
| gr-qc | this paper investigates the arnowittdesermisner hereafter adm form of spherically symmetric gravity with variable newton parameter g and cosmological term lambdac the newton parameter is here treated as a dynamical variable rather than being merely an external parameter as in previous work on closely related topics the resulting hamilton equations are obtained interestingly a static solution exists that reduces to schwarzschild geometry in the limit of constant g describing a newton parameter ruled by a nonlinear differential equation in the radial variable r a remarkable limiting case is the one for which the newton parameter obeys an almost linear growth law at large r an exact solution for g as a function of r is also obtained in the case of vanishing cosmological constant some observational implications of these solutions are obtained and briefly discussed | [['this', 'paper', 'investigates', 'the', 'arnowittdesermisner', 'hereafter', 'adm', 'form', 'of', 'spherically', 'symmetric', 'gravity', 'with', 'variable', 'newton', 'parameter', 'g', 'and', 'cosmological', 'term', 'lambdac', 'the', 'newton', 'parameter', 'is', 'here', 'treated', 'as', 'a', 'dynamical', 'variable', 'rather', 'than', 'being', 'merely', 'an', 'external', 'parameter', 'as', 'in', 'previous', 'work', 'on', 'closely', 'related', 'topics', 'the', 'resulting', 'hamilton', 'equations', 'are', 'obtained', 'interestingly', 'a', 'static', 'solution', 'exists', 'that', 'reduces', 'to', 'schwarzschild', 'geometry', 'in', 'the', 'limit', 'of', 'constant', 'g', 'describing', 'a', 'newton', 'parameter', 'ruled', 'by', 'a', 'nonlinear', 'differential', 'equation', 'in', 'the', 'radial', 'variable', 'r', 'a', 'remarkable', 'limiting', 'case', 'is', 'the', 'one', 'for', 'which', 'the', 'newton', 'parameter', 'obeys', 'an', 'almost', 'linear', 'growth', 'law', 'at', 'large', 'r', 'an', 'exact', 'solution', 'for', 'g', 'as', 'a', 'function', 'of', 'r', 'is', 'also', 'obtained', 'in', 'the', 'case', 'of', 'vanishing', 'cosmological', 'constant', 'some', 'observational', 'implications', 'of', 'these', 'solutions', 'are', 'obtained', 'and', 'briefly', 'discussed']] | [-0.1756703607496564, 0.07368914046857282, -0.08033269875654865, 0.04889990488343217, -0.12899984516617324, -0.16917497662016778, -0.012549327264746859, 0.27674794688268944, -0.253529612371629, -0.2685570072106741, 0.12243712290914523, -0.2620080136107626, -0.1281147414163031, 0.1957326647825539, -0.049565991593731776, 0.03189292870875862, 0.003649756172671914, 0.06121848593638451, -0.08084270100592188, -0.24237300990218366, 0.3423384452583613, 0.0696926522810288, 0.17376404434692597, -0.034306967851740346, 0.1268399902705655, -0.011696679126126347, -0.048372118744602496, 0.09802217127893258, -0.20297023603823078, 0.02278413293124349, 0.2156044380083956, 0.07375403126632726, 0.26977274927172673, -0.33915593455959525, -0.2080094073243715, 0.092577855752919, 0.13619765287127208, 0.09192351527356853, -0.04001547878142446, -0.21732814492381833, 0.04261279408302572, -0.16050100719245772, -0.20999170017808125, -0.04242555650158061, 0.08617194917880827, 0.02492018945523779, -0.2650083432698415, 0.11976038092484319, 0.049837838750358465, 0.009483912427418141, -0.0867368323650832, -0.13080994039429006, -0.015999118687102087, 0.023949150530690397, 0.0916424819164806, 0.06877733472200041, 0.0891185839763946, -0.13609424609932358, -0.03727436070330441, 0.3959834381868994, -0.1229408649810702, -0.2354309017735499, 0.10373910495114547, -0.14294609320867394, -0.14481266596078596, 0.06895235535274777, 0.09829220500671201, 0.1850369605040113, -0.15488077047177487, 0.18592361886037032, -0.04131274844036886, 0.155320744185398, 0.09581677620471628, -0.004463134706020356, 0.18221211773515852, 0.09696722819504362, 0.08725625434200521, 0.12265582408204123, -0.013843464259817093, -0.1227844753475101, -0.36276174289760765, -0.12673939141634577, -0.18745708936411473, 0.09360316448189594, -0.18746598366695388, -0.18868593418867224, 0.34938030343813203, 0.05522334157937655, 0.19709480958818285, 0.05265687167454787, 0.2460825157067221, 0.16809895397077693, 0.011715631600883273, 0.08500720189746332, 0.2844588851808415, 0.14404139377314734, 0.10206786922041189, -0.22503379064232662, 0.01520664794370532, 0.1150233410074617] |
709.1404 | Occultation observation to probe the turbulence scale size in the plasma
tail of comet Schwassmann-Wachmann 3-B | We present the occultation observation of compact radio source B0019-000
through the plasma tail of comet Schwassmann-Wachmann 3-B. The observation was
made with the Ooty Radio Telescope at 326.5 MHz on 2006 May 26, when the plasma
tail of the comet was in front of this source. The scintillation was found to
be increased significantly for the target source compared to that of a control
source. The intensity fluctuation power spectra show both steepening at high
spatial scales and excess power at low spatial scales. This observation can be
attributed to the turbulence in the comet plasma tail. A two-regime plasma
turbulence can explain the time-evolution of the power spectrum during the
occultation observation.
| astro-ph | we present the occultation observation of compact radio source b0019000 through the plasma tail of comet schwassmannwachmann 3b the observation was made with the ooty radio telescope at 3265 mhz on 2006 may 26 when the plasma tail of the comet was in front of this source the scintillation was found to be increased significantly for the target source compared to that of a control source the intensity fluctuation power spectra show both steepening at high spatial scales and excess power at low spatial scales this observation can be attributed to the turbulence in the comet plasma tail a tworegime plasma turbulence can explain the timeevolution of the power spectrum during the occultation observation | [['we', 'present', 'the', 'occultation', 'observation', 'of', 'compact', 'radio', 'source', 'b0019000', 'through', 'the', 'plasma', 'tail', 'of', 'comet', 'schwassmannwachmann', '3b', 'the', 'observation', 'was', 'made', 'with', 'the', 'ooty', 'radio', 'telescope', 'at', '3265', 'mhz', 'on', '2006', 'may', '26', 'when', 'the', 'plasma', 'tail', 'of', 'the', 'comet', 'was', 'in', 'front', 'of', 'this', 'source', 'the', 'scintillation', 'was', 'found', 'to', 'be', 'increased', 'significantly', 'for', 'the', 'target', 'source', 'compared', 'to', 'that', 'of', 'a', 'control', 'source', 'the', 'intensity', 'fluctuation', 'power', 'spectra', 'show', 'both', 'steepening', 'at', 'high', 'spatial', 'scales', 'and', 'excess', 'power', 'at', 'low', 'spatial', 'scales', 'this', 'observation', 'can', 'be', 'attributed', 'to', 'the', 'turbulence', 'in', 'the', 'comet', 'plasma', 'tail', 'a', 'tworegime', 'plasma', 'turbulence', 'can', 'explain', 'the', 'timeevolution', 'of', 'the', 'power', 'spectrum', 'during', 'the', 'occultation', 'observation']] | [-0.08477530563332603, 0.1707799548810694, -0.1338194993868536, 0.057426250768429804, -0.04735951131597095, -0.06962441513726933, -0.014499167225579113, 0.4014888249535476, -0.2323031113410896, -0.3440690924108556, 0.10521711721867982, -0.28502061313628096, -0.022259161152374165, 0.19164926613540909, -0.047393292699635554, 0.012392532052595861, 0.03778891802757187, -0.051575425122163995, 0.024436460340197766, -0.1495759977662392, 0.21542148183273002, 0.22618251709283982, 0.2493463592702704, 0.06283642787618184, 0.08836778407438403, -0.09102428591175549, -0.06672967039460762, -0.050997185784565136, -0.04622305728541739, 0.0398720491108839, 0.21700765084541213, 0.08416963503613606, 0.18585255163499212, -0.3849666843322658, -0.2736170700281463, 0.02810509876240935, 0.14239920093883982, 0.015515055301376677, -0.01472497817676976, -0.2904841260143877, 0.052026381576021685, -0.20729185602899675, -0.17350650369807813, 0.09360514713072143, 0.051738079225199414, 0.03662986190066533, -0.2585717535915628, 0.08656210889133205, -0.003540297102727062, 0.0671909157170263, -0.07946437651670613, -0.06819643894111556, 0.003400417880270531, 0.08348715318025882, 0.07370424951195914, 0.06126995609075952, 0.16821621195619216, -0.1031808870251134, -0.0385874034651448, 0.34174127966594114, -0.11031336181970165, -0.010353394223591396, 0.19521035299331477, -0.2881890381397927, -0.15627561929322514, 0.25332704931497574, 0.18658787921582043, 0.024417956611059145, -0.12194304631477473, 0.0010360050840876106, -0.02173680038628193, 0.2578105149333225, 0.11598153240088604, 0.03516789404180857, 0.2553404403007713, 0.13469046931013268, 0.03980549980383531, 0.16680763653413583, -0.2681289360945039, 0.04610310868665048, -0.26372875628448955, -0.0688537442005874, -0.18900396417727514, 0.05857823096603089, -0.07316912096640223, -0.0631523467105838, 0.4231181245264226, 0.11128831305850165, 0.1610240920455055, 0.03555539258203543, 0.2984360089418437, 0.13994028173444742, 0.04281779063404002, 0.12338698457563872, 0.30968545321210295, 0.10138548556220743, 0.18017967509320088, -0.2512334268869816, 0.09049481667776023, -0.020176629589425517] |
709.1405 | Degrees of freedom of tongue movements in speech may be constrained by
biomechanics | A number of studies carried out on different languages have found that tongue
movements in speech are made along two primary degrees of freedom (d.f.s): the
high-front to low-back axis and the high-back to low-front axis. We explore the
hypothesis that these two main d.f.s could find their origins in the physical
properties of the vocal tract. A large set of tongue shapes was generated with
a biomechanical tongue model using a Monte-Carlo method to thoroughly sample
the muscle control space. The resulting shapes were analyzed with PCA. The
first two factors explain 84% of the variance, and they are similar to the two
experimentally observed d.f.s. This finding suggests that the d.f.s. are not
speech-specific, and that speech takes advantage of biomechanically based
tongue properties to form different sounds.
| physics.med-ph | a number of studies carried out on different languages have found that tongue movements in speech are made along two primary degrees of freedom dfs the highfront to lowback axis and the highback to lowfront axis we explore the hypothesis that these two main dfs could find their origins in the physical properties of the vocal tract a large set of tongue shapes was generated with a biomechanical tongue model using a montecarlo method to thoroughly sample the muscle control space the resulting shapes were analyzed with pca the first two factors explain 84 of the variance and they are similar to the two experimentally observed dfs this finding suggests that the dfs are not speechspecific and that speech takes advantage of biomechanically based tongue properties to form different sounds | [['a', 'number', 'of', 'studies', 'carried', 'out', 'on', 'different', 'languages', 'have', 'found', 'that', 'tongue', 'movements', 'in', 'speech', 'are', 'made', 'along', 'two', 'primary', 'degrees', 'of', 'freedom', 'dfs', 'the', 'highfront', 'to', 'lowback', 'axis', 'and', 'the', 'highback', 'to', 'lowfront', 'axis', 'we', 'explore', 'the', 'hypothesis', 'that', 'these', 'two', 'main', 'dfs', 'could', 'find', 'their', 'origins', 'in', 'the', 'physical', 'properties', 'of', 'the', 'vocal', 'tract', 'a', 'large', 'set', 'of', 'tongue', 'shapes', 'was', 'generated', 'with', 'a', 'biomechanical', 'tongue', 'model', 'using', 'a', 'montecarlo', 'method', 'to', 'thoroughly', 'sample', 'the', 'muscle', 'control', 'space', 'the', 'resulting', 'shapes', 'were', 'analyzed', 'with', 'pca', 'the', 'first', 'two', 'factors', 'explain', '84', 'of', 'the', 'variance', 'and', 'they', 'are', 'similar', 'to', 'the', 'two', 'experimentally', 'observed', 'dfs', 'this', 'finding', 'suggests', 'that', 'the', 'dfs', 'are', 'not', 'speechspecific', 'and', 'that', 'speech', 'takes', 'advantage', 'of', 'biomechanically', 'based', 'tongue', 'properties', 'to', 'form', 'different', 'sounds']] | [-0.12229205057024956, 0.09265315909869969, -0.1039205527678132, 0.05673884001653642, -0.07144700207747519, -0.07692750203236938, -0.008625272958539426, 0.43401553949713706, -0.2293928342759609, -0.30113514012936504, 0.06941401777230204, -0.24843613054975866, -0.1810914394631982, 0.21860783342830836, -0.05461588905006647, 0.04945494162291288, 0.06262802912387996, 0.02110939759761095, -0.013373814486898481, -0.21777624848112465, 0.24893615666404367, -0.001065114587545395, 0.28704567585512997, -0.011392716236412526, 0.11712547367438673, -0.0369462264738977, -0.0343930344725959, 0.015336735602235422, -0.09502648354065604, 0.12273940839618444, 0.22783428767882288, 0.16361883741244673, 0.2635969660282135, -0.4233477797803353, -0.20058399341767655, 0.0779452960267663, 0.1500034956727177, 0.1022226722612977, -0.006390238069929183, -0.29056634712964297, 0.0839246404133737, -0.10179190700873733, -0.09548207813873887, -0.06992878840304911, 0.024845335066318513, 0.02330394519865513, -0.19632580730319024, 0.030917825624346734, 0.0489943390712142, 0.10422740941494703, -0.07231536469981074, -0.12914334237203, -0.062431102879927494, 0.17801838466897607, 0.07833341541048139, -0.0038545022755861282, 0.19072473472729326, -0.09419497765414417, -0.10071489810571074, 0.37954829656146466, -0.01870953168720007, -0.2236822766289115, 0.22993683419004082, -0.16552144442498684, -0.13787396373413502, 0.13209761269018053, 0.17998692986369133, 0.061233509361743925, -0.193304975386709, -0.023978984569665046, -0.014411272503435612, 0.18757483113184573, 0.0778199396841228, -0.022113415270112454, 0.20512756876647473, 0.12916247715242207, -0.06979010061733425, 0.16051329661533237, -0.13999024247936903, -0.07631837014108896, -0.23344154880568385, -0.12799319926090538, -0.14330544984340668, -0.03938346676761285, -0.07947420674155001, -0.15108899511396884, 0.44566209202446044, 0.17084085697028786, 0.2381036933735013, 0.05184677048027515, 0.29524858479574323, 0.013843526638229377, 0.09131669363752007, 0.03355537050962448, 0.2714991368772462, 0.07444157086499036, 0.04089150071516633, -0.24374443839443846, 0.08957980195432902, 0.021633115876466037] |
709.1406 | The Discovery of Stellar Oscillations in the Planet Hosting Giant Star
Beta Geminorum | We present the results of a long time series of precise stellar radial
velocity measurements of the planet hosting K giant star Beta Geminorum. A
total of 20 hours of observations spanning three nights were obtained and the
radial velocity variations show the presence of solar-like stellar
oscillations. Our period analysis yields six significant pulsation modes that
have frequencies in the range of 30 - 150 microHz. The dominant mode is at a
frequency of 86.9 microHz and has an amplitude of 5.3 m/s. These values are
consistent with stellar oscillations for a giant star with a stellar mass of
approximately 2 solar masses. This stellar mass implies a companion minimum
mass of 2.6 Jupiter masses. Beta Gem is the first planet hosting giant star in
which multi-periodic stellar oscillations have been detected. The study of
stellar oscillations in planet hosting giant stars may provide an independent,
and more accurate determination of the stellar mass.
| astro-ph | we present the results of a long time series of precise stellar radial velocity measurements of the planet hosting k giant star beta geminorum a total of 20 hours of observations spanning three nights were obtained and the radial velocity variations show the presence of solarlike stellar oscillations our period analysis yields six significant pulsation modes that have frequencies in the range of 30 150 microhz the dominant mode is at a frequency of 869 microhz and has an amplitude of 53 ms these values are consistent with stellar oscillations for a giant star with a stellar mass of approximately 2 solar masses this stellar mass implies a companion minimum mass of 26 jupiter masses beta gem is the first planet hosting giant star in which multiperiodic stellar oscillations have been detected the study of stellar oscillations in planet hosting giant stars may provide an independent and more accurate determination of the stellar mass | [['we', 'present', 'the', 'results', 'of', 'a', 'long', 'time', 'series', 'of', 'precise', 'stellar', 'radial', 'velocity', 'measurements', 'of', 'the', 'planet', 'hosting', 'k', 'giant', 'star', 'beta', 'geminorum', 'a', 'total', 'of', '20', 'hours', 'of', 'observations', 'spanning', 'three', 'nights', 'were', 'obtained', 'and', 'the', 'radial', 'velocity', 'variations', 'show', 'the', 'presence', 'of', 'solarlike', 'stellar', 'oscillations', 'our', 'period', 'analysis', 'yields', 'six', 'significant', 'pulsation', 'modes', 'that', 'have', 'frequencies', 'in', 'the', 'range', 'of', '30', '150', 'microhz', 'the', 'dominant', 'mode', 'is', 'at', 'a', 'frequency', 'of', '869', 'microhz', 'and', 'has', 'an', 'amplitude', 'of', '53', 'ms', 'these', 'values', 'are', 'consistent', 'with', 'stellar', 'oscillations', 'for', 'a', 'giant', 'star', 'with', 'a', 'stellar', 'mass', 'of', 'approximately', '2', 'solar', 'masses', 'this', 'stellar', 'mass', 'implies', 'a', 'companion', 'minimum', 'mass', 'of', '26', 'jupiter', 'masses', 'beta', 'gem', 'is', 'the', 'first', 'planet', 'hosting', 'giant', 'star', 'in', 'which', 'multiperiodic', 'stellar', 'oscillations', 'have', 'been', 'detected', 'the', 'study', 'of', 'stellar', 'oscillations', 'in', 'planet', 'hosting', 'giant', 'stars', 'may', 'provide', 'an', 'independent', 'and', 'more', 'accurate', 'determination', 'of', 'the', 'stellar', 'mass']] | [-0.15988393497839268, 0.2127944601402246, -0.051691048068006513, 0.04358527571013554, -0.10201285726106545, -0.029898702088356405, 0.06743103743972281, 0.35557445956775074, -0.0764563564549793, -0.4185745648241469, 0.06417682563489932, -0.26507183501206627, -0.02244731432201897, 0.25379264153322423, -0.02251186529053496, 0.0004888204155624361, 0.169057099230273, -0.0007101837241365997, -0.05139932979212759, -0.2297721944459073, 0.24738316718101888, 0.009572866880758242, 0.0576355243464569, -0.04375719105486165, 0.042096044021573936, -0.1364120591353238, -0.076574930584991, -0.10223306615099118, -0.19681591971675516, -0.007405055844067753, 0.1954630313351578, 0.101859174744714, 0.2263215424722762, -0.30789954792224355, -0.17561877145456126, 0.02916987193748355, 0.20328452509628342, 0.013598938426456427, -0.06543439032115698, -0.20813971898191935, 0.07689499669079367, -0.19803603196685965, -0.20502341307953678, 0.07185426370131892, 0.12184696870722941, 0.01369337674514572, -0.28609283378951755, 0.18183205195085764, 0.020421462360309898, 0.16973603483253194, -0.13904747318524818, -0.1698616148553208, -0.08586123627277889, 0.08880144720685414, 0.051364243801610615, 0.055987403257870924, 0.13196758659520222, -0.04813422420963209, -0.036805919658047956, 0.3611048028211702, -0.14754572507695524, 0.022432360096604792, 0.20966520233007221, -0.25826919116926467, -0.1553790115134476, 0.1630954261349103, 0.18035141188748083, 0.13375290273386356, -0.19534432300889573, -0.03900470569323107, -0.02593149879475596, 0.24030107880833668, 0.11688017795866283, 0.05756784326777878, 0.39848269787677504, 0.1658422949016336, 0.041165569408603206, 0.004963117517083399, -0.2944611721708403, -0.0006728286721876689, -0.16629466819108235, -0.07891745527655525, -0.10673845200795626, 0.06447533661478454, -0.15812469795378387, -0.14720241836417322, 0.4299578880286449, 0.051856405156900404, 0.20088388755699838, 0.06506741123180232, 0.2678753525538781, 0.14066177554724907, 0.14088635513978154, 0.11682050608630691, 0.35715081978153873, 0.2424777272934481, 0.0910279176548704, -0.3038448029917411, 0.019400553112583502, -0.04788691466734684] |
709.1407 | Wave-packet view of the Dirac electron | By viewing the electron as a wavepacket in the positive energy spectrum of
the Dirac equation, we are able to achieve a much clearer understanding of its
behavior under weak electromagnetic fields. The intrinsic spin magnetic moment
is found to be established from the self-rotation of the wavepacket. A
non-canonical structure is also exhibited in the equations of motion due to
non- Abelian geometric phases of the Dirac spinors. The wavepacket energy can
be expressed simply in terms of the kinetic, electrostatic, and Zeeman terms
only. This can be transformed into an effective quantum Hamiltonian by a novel
scheme, and reproduces the Pauli Hamiltonian with all-order relativistic
corrections.
| physics.gen-ph | by viewing the electron as a wavepacket in the positive energy spectrum of the dirac equation we are able to achieve a much clearer understanding of its behavior under weak electromagnetic fields the intrinsic spin magnetic moment is found to be established from the selfrotation of the wavepacket a noncanonical structure is also exhibited in the equations of motion due to non abelian geometric phases of the dirac spinors the wavepacket energy can be expressed simply in terms of the kinetic electrostatic and zeeman terms only this can be transformed into an effective quantum hamiltonian by a novel scheme and reproduces the pauli hamiltonian with allorder relativistic corrections | [['by', 'viewing', 'the', 'electron', 'as', 'a', 'wavepacket', 'in', 'the', 'positive', 'energy', 'spectrum', 'of', 'the', 'dirac', 'equation', 'we', 'are', 'able', 'to', 'achieve', 'a', 'much', 'clearer', 'understanding', 'of', 'its', 'behavior', 'under', 'weak', 'electromagnetic', 'fields', 'the', 'intrinsic', 'spin', 'magnetic', 'moment', 'is', 'found', 'to', 'be', 'established', 'from', 'the', 'selfrotation', 'of', 'the', 'wavepacket', 'a', 'noncanonical', 'structure', 'is', 'also', 'exhibited', 'in', 'the', 'equations', 'of', 'motion', 'due', 'to', 'non', 'abelian', 'geometric', 'phases', 'of', 'the', 'dirac', 'spinors', 'the', 'wavepacket', 'energy', 'can', 'be', 'expressed', 'simply', 'in', 'terms', 'of', 'the', 'kinetic', 'electrostatic', 'and', 'zeeman', 'terms', 'only', 'this', 'can', 'be', 'transformed', 'into', 'an', 'effective', 'quantum', 'hamiltonian', 'by', 'a', 'novel', 'scheme', 'and', 'reproduces', 'the', 'pauli', 'hamiltonian', 'with', 'allorder', 'relativistic', 'corrections']] | [-0.16052965609425748, 0.18288546656940188, -0.10717973077273066, 0.10860021814759993, -0.07749484748476082, -0.10215064634448262, -0.019524746936103503, 0.33023370685124837, -0.26435670081560536, -0.30379637781772073, -0.012011337325761647, -0.2300200032165136, -0.12077266132864342, 0.185203147922746, -0.0027282844832236014, 0.009683316046936886, 0.03846356077486201, 0.05577965960751667, -0.10894127711610592, -0.1763962781966526, 0.32494122903045974, 0.07191980783816823, 0.23797034507798445, 0.07502920181690974, 0.12345578545635497, -0.003667018682419978, 0.06269709150634568, 0.04867340187128219, -0.05791552774435668, 0.08374794746568012, 0.20536011766913967, 0.001460298833316537, 0.1968031423705354, -0.4346108730791861, -0.22095882124267519, 0.040703182479504635, 0.15643697880053273, 0.1599458371013127, -0.02451156218389601, -0.35442624441175546, 0.01022855793039694, -0.1562415429485824, -0.17095417533656238, -0.12840413842867646, -0.029529085361260782, 0.008627232446559463, -0.24527532070782468, 0.10751240083536012, 0.08408925067137547, 0.022340543639277004, -0.07970977851504425, -0.0793371628926791, -0.06406975479762035, 0.07817908193855719, 0.06361808846661544, 0.036534376277510695, 0.10459899302589258, -0.13705063006556076, -0.09531034632258255, 0.45324555514552806, -0.08380902104545385, -0.24294222180766087, 0.10593575063265032, -0.15209823166232025, -0.03931447312977441, 0.18278713326004367, 0.12789836515569025, 0.11224950731438757, -0.17379655554530607, 0.13793880500964373, -0.01894091794922672, 0.12109412041630734, 0.03890741012421333, 0.06541192279783664, 0.22707287364432382, 0.08447646568270607, 0.05707233943286593, 0.12958526434657094, -0.059701689794935564, -0.10927194863971737, -0.29837493446690067, -0.16922630877578976, -0.2048868078833308, 0.1458116637163416, -0.07501515938484873, -0.15885161053760116, 0.4534411755708384, 0.10425483661647714, 0.15593632688331935, -0.03375240212901392, 0.2790942630144181, 0.22527414993102732, 0.06227105486430918, 0.04939092602580786, 0.26957840091307406, 0.19447302962739574, 0.0883360419129194, -0.29897011464021894, 0.008980065454832382, 0.08222971515971478] |
709.1408 | The Quest for Pionic and Kaonic Nuclear Bound Systems Following Yukawa
and Tomonaga | After sketching some historical events related to Yukawa and Tomonaga
concerning the birth of mesons, the author describes recent developments in the
spectroscopy of pion-nucleus bound states via "pion-transfer" reactions. The
role of pions as Nambu-Goldstone bosons in nuclear media is emphasized by
recently obtained experimental evidence for the partial restoration of chiral
symmetry breaking. New light is shed on Kbar mesons, which play a unique role
in forming dense nuclear systems. The basic unit, K- pp, is predicted to
possess a molecular structure with quasi-Lambda(1405) as an "atomic
constituent". We find here "super strong nuclear force" produced by a migrating
real Kbar meson in the Heitler-London-Heisenberg scheme in place of the normal
nuclear force mediated by Yukawa's virtual mesons.
| nucl-ex | after sketching some historical events related to yukawa and tomonaga concerning the birth of mesons the author describes recent developments in the spectroscopy of pionnucleus bound states via piontransfer reactions the role of pions as nambugoldstone bosons in nuclear media is emphasized by recently obtained experimental evidence for the partial restoration of chiral symmetry breaking new light is shed on kbar mesons which play a unique role in forming dense nuclear systems the basic unit k pp is predicted to possess a molecular structure with quasilambda1405 as an atomic constituent we find here super strong nuclear force produced by a migrating real kbar meson in the heitlerlondonheisenberg scheme in place of the normal nuclear force mediated by yukawas virtual mesons | [['after', 'sketching', 'some', 'historical', 'events', 'related', 'to', 'yukawa', 'and', 'tomonaga', 'concerning', 'the', 'birth', 'of', 'mesons', 'the', 'author', 'describes', 'recent', 'developments', 'in', 'the', 'spectroscopy', 'of', 'pionnucleus', 'bound', 'states', 'via', 'piontransfer', 'reactions', 'the', 'role', 'of', 'pions', 'as', 'nambugoldstone', 'bosons', 'in', 'nuclear', 'media', 'is', 'emphasized', 'by', 'recently', 'obtained', 'experimental', 'evidence', 'for', 'the', 'partial', 'restoration', 'of', 'chiral', 'symmetry', 'breaking', 'new', 'light', 'is', 'shed', 'on', 'kbar', 'mesons', 'which', 'play', 'a', 'unique', 'role', 'in', 'forming', 'dense', 'nuclear', 'systems', 'the', 'basic', 'unit', 'k', 'pp', 'is', 'predicted', 'to', 'possess', 'a', 'molecular', 'structure', 'with', 'quasilambda1405', 'as', 'an', 'atomic', 'constituent', 'we', 'find', 'here', 'super', 'strong', 'nuclear', 'force', 'produced', 'by', 'a', 'migrating', 'real', 'kbar', 'meson', 'in', 'the', 'heitlerlondonheisenberg', 'scheme', 'in', 'place', 'of', 'the', 'normal', 'nuclear', 'force', 'mediated', 'by', 'yukawas', 'virtual', 'mesons']] | [-0.10424905552891857, 0.2737465685568168, -0.09517752016910304, 0.09710149509512614, -0.0408554276514609, -0.1026549724056938, 0.06057869294121609, 0.31252535066954096, -0.21657001425441103, -0.23486414269970382, -0.01582361253173785, -0.3153183821399333, -0.12601892432292638, 0.10653693423117117, 0.0714770766622308, 0.04723219842732868, 0.02636291554702793, 0.035247921671371085, -0.02846433399876548, -0.21021992590878222, 0.33322765244076313, 0.026496197902045007, 0.21370126199375805, 0.1653885894644437, 0.04372859380002749, 0.05722087162341607, -0.026015982558650865, -0.08163573583035524, -0.08531137736577352, 0.094862897990378, 0.22163698297601697, 0.05547458577064513, 0.18568743335012095, -0.45500945213045607, -0.18806606189395159, 0.07499951472647994, 0.15170574460525887, 0.12623641342768185, -0.13448570115921893, -0.3318562769623063, 0.05860335099652915, -0.16683481603671432, -0.16435565028765822, -0.13191814408677047, 0.03418625081431562, -0.01888660258431998, -0.2700564243147047, 0.10325582617483402, 0.019585422378810818, 0.11190547913478656, -0.06871745308419153, -0.18408734404770025, -0.0038267947157245067, 0.047061805932987796, 0.0915867456381004, 0.0971056663301, 0.1927996205491057, -0.18976159704359785, -0.14236921439799716, 0.43891050543446664, -0.032437921353710535, -0.09979231761358047, 0.1640953949131703, -0.13096560076889346, -0.14900387143242663, 0.14492265629913595, 0.21258031952557926, 0.05215902291869713, -0.16256000063731335, 0.08754302782817523, -0.08167205524129667, 0.14531212389938755, 0.08629871567048258, 0.07663496094015901, 0.2058097538775054, 0.20068782647692804, -0.03204641137390508, 0.07696020973439849, -0.026147660213301623, -0.1314336965176261, -0.3186722967647395, -0.13459769160520302, -0.12048225251215873, 0.06165191245791147, -0.016806798887570286, -0.06646315069963872, 0.3303189546184482, 0.010215292321675914, 0.25103194335814943, -0.10616028566264658, 0.26366726092804793, 0.061771976609588046, 0.09813723909092467, 0.05542251713360834, 0.28990486281913097, 0.2531030434598136, 0.13681819906726606, -0.2834716770537513, 0.02256628753858129, 0.09172660834155977] |
709.1409 | The effect of "pre-formed" hadron potentials on the dynamics of heavy
ion collisions and the HBT puzzle | The nuclear stopping, the elliptic flow, and the HBT interferometry are
calculated by the UrQMD transport model, in which potentials for "pre-formed"
particles (string fragments) from color fluxtube fragmentation as well as for
confined particles are considered. This description provides stronger pressure
at the early stage and describes these observables better than the default
cascade mode (where the "pre-formed" particles from string fragmentation are
treated to be free-streaming). It should be stressed that the inclusion of
potential interactions pushes down the calculated HBT radius $R_O$ and pulls up
the $R_S$ so that the HBT time-related puzzle disappears throughout the
energies from AGS, SPS, to RHIC.
| nucl-th | the nuclear stopping the elliptic flow and the hbt interferometry are calculated by the urqmd transport model in which potentials for preformed particles string fragments from color fluxtube fragmentation as well as for confined particles are considered this description provides stronger pressure at the early stage and describes these observables better than the default cascade mode where the preformed particles from string fragmentation are treated to be freestreaming it should be stressed that the inclusion of potential interactions pushes down the calculated hbt radius r_o and pulls up the r_s so that the hbt timerelated puzzle disappears throughout the energies from ags sps to rhic | [['the', 'nuclear', 'stopping', 'the', 'elliptic', 'flow', 'and', 'the', 'hbt', 'interferometry', 'are', 'calculated', 'by', 'the', 'urqmd', 'transport', 'model', 'in', 'which', 'potentials', 'for', 'preformed', 'particles', 'string', 'fragments', 'from', 'color', 'fluxtube', 'fragmentation', 'as', 'well', 'as', 'for', 'confined', 'particles', 'are', 'considered', 'this', 'description', 'provides', 'stronger', 'pressure', 'at', 'the', 'early', 'stage', 'and', 'describes', 'these', 'observables', 'better', 'than', 'the', 'default', 'cascade', 'mode', 'where', 'the', 'preformed', 'particles', 'from', 'string', 'fragmentation', 'are', 'treated', 'to', 'be', 'freestreaming', 'it', 'should', 'be', 'stressed', 'that', 'the', 'inclusion', 'of', 'potential', 'interactions', 'pushes', 'down', 'the', 'calculated', 'hbt', 'radius', 'r_o', 'and', 'pulls', 'up', 'the', 'r_s', 'so', 'that', 'the', 'hbt', 'timerelated', 'puzzle', 'disappears', 'throughout', 'the', 'energies', 'from', 'ags', 'sps', 'to', 'rhic']] | [-0.03641013041848228, 0.2685451016362224, -0.18034123709879904, 0.15167237368877978, 0.011282085738189163, -0.14580636462640195, -0.08475803816247554, 0.33703008260400524, -0.2673393691091665, -0.2778801556854021, -0.013563784518988714, -0.32265373122035745, 0.05129998265987351, 0.12724741000981468, 0.061522723929513065, 0.05389396367328508, 0.0751098730645719, 0.0174700908141122, -0.01909872639613847, -0.1524471856764562, 0.28943119292324854, 0.13033503291330167, 0.21374906883353278, 0.13834271966257974, 0.019223453468155294, 0.02575057919270226, 0.010882400747920786, 0.04630156640140783, -0.15371353733200868, -0.005039970417107855, 0.23058201874207174, 0.04134387401420446, 0.16326348314593944, -0.44454519301652906, -0.20880958003302416, 0.04822978581346217, 0.17724060602042646, 0.1449835817229801, -0.033586134318084944, -0.2307648075123628, 0.052867237793370374, -0.209976655457701, -0.14773096969528568, -0.03491597822867334, 0.03714435441596877, 0.04568199846960072, -0.2749144852028361, 0.14046542520657004, 0.02093907452764965, -0.00736242681519971, -0.039020633919253235, -0.1965302088253555, -0.0514025119288514, 0.07272823605509031, 0.08356838287852172, 0.09845855895518547, 0.23316384386271238, -0.1404264951130331, -0.06176407416572883, 0.4130129011613982, 0.0006691448838128486, -0.11072657809903225, 0.14603039548909735, -0.15703573700572762, -0.05644209497563896, 0.16029761455775726, 0.15263257272696742, 0.10539213624738511, -0.16629745767984008, -0.024063659123965495, -0.017288903363182076, 0.15362953894461195, 0.15639228855836249, 0.014164924586103076, 0.2714011514293296, 0.19029583800805822, -0.022256041047651144, 0.1167442156087851, -0.07317331398038991, -0.17086876495076078, -0.3602328242290588, -0.0456335858486238, -0.12795561840397396, 0.02807237444711583, -0.06250714601552491, -0.10520664385209481, 0.3118042217124076, 0.13611621672198887, 0.24108073504259145, 0.019217669907292085, 0.28124467570866857, 0.07106847717604112, 0.13225428138726525, 0.10718955582318207, 0.3012608938540022, 0.12083776371852895, 0.17334427979020844, -0.28405598609131716, 0.031024314742535353, 0.07605499752486745] |
709.141 | Study of the performance and capability of the new ultra-fast 2
GSample/s FADC data acquisition system of the MAGIC telescope | In February 2007 the MAGIC Air Cherenkov Telescope for gamma-ray astronomy
was fully upgraded with an ultra fast 2 GSamples/s digitization system. Since
the Cherenkov light flashes are very short, a fast readout can minimize the
influence of the background from the light of the night sky. Also, the time
structure of the event is an additional parameter to reduce the background from
unwanted hadronic showers. An overview of the performance of the new system and
its impact on the sensitivity of the MAGIC instrument will be presented.
| astro-ph | in february 2007 the magic air cherenkov telescope for gammaray astronomy was fully upgraded with an ultra fast 2 gsampless digitization system since the cherenkov light flashes are very short a fast readout can minimize the influence of the background from the light of the night sky also the time structure of the event is an additional parameter to reduce the background from unwanted hadronic showers an overview of the performance of the new system and its impact on the sensitivity of the magic instrument will be presented | [['in', 'february', '2007', 'the', 'magic', 'air', 'cherenkov', 'telescope', 'for', 'gammaray', 'astronomy', 'was', 'fully', 'upgraded', 'with', 'an', 'ultra', 'fast', '2', 'gsampless', 'digitization', 'system', 'since', 'the', 'cherenkov', 'light', 'flashes', 'are', 'very', 'short', 'a', 'fast', 'readout', 'can', 'minimize', 'the', 'influence', 'of', 'the', 'background', 'from', 'the', 'light', 'of', 'the', 'night', 'sky', 'also', 'the', 'time', 'structure', 'of', 'the', 'event', 'is', 'an', 'additional', 'parameter', 'to', 'reduce', 'the', 'background', 'from', 'unwanted', 'hadronic', 'showers', 'an', 'overview', 'of', 'the', 'performance', 'of', 'the', 'new', 'system', 'and', 'its', 'impact', 'on', 'the', 'sensitivity', 'of', 'the', 'magic', 'instrument', 'will', 'be', 'presented']] | [-0.08790824318368157, 0.2037770510537071, -0.08830463452349332, 0.08630464598139621, -0.08869472118517892, -0.0494279803824611, -0.014203309060328385, 0.40535401222719386, -0.2042994695207612, -0.3844008287838237, 0.15649658110156783, -0.32084342723035, -0.06477416306734085, 0.25627045738722454, -0.06383314494847912, 0.03290573650354583, 0.1694709308212623, -0.015931738932109016, -0.04218236911533908, -0.24554277695874174, 0.19273234937678685, 0.24922438311940906, 0.25264766075997613, 0.05450878279622306, 0.1570433831630825, -0.016087931546446107, -0.09469701913820411, -0.09669606052127412, -0.007224719071845439, 0.04226798310727728, 0.21017364799891683, 0.1574702677608002, 0.1667027515279849, -0.4286974909588356, -0.16893000836187805, 0.09299198110503229, 0.07968377316402356, 0.037232284781732065, -0.025165260215131144, -0.3636336995669725, 0.009115451692857525, -0.21110624295066704, -0.1487846569824879, 0.056302928455724294, -0.02185872658579187, 0.07098008908162062, -0.1878432131416048, -0.062339653512687866, -0.0021249313722364604, 0.05998768992139958, -0.03666316577767826, -0.1043853864830453, 0.04810584145359991, 0.14403777580644767, 0.04714347646553175, 0.04500836890921081, 0.08139475905971433, -0.16632113604150203, -0.05379143753089011, 0.354545439043167, -0.06529167040769773, -0.05149930541996251, 0.14038405115504496, -0.17507158875973386, -0.11644272228427739, 0.2628065898527645, 0.244463610293513, 0.08231835399585014, -0.20871026462687456, 0.07378271560711172, 0.04861042132093148, 0.2370536373716525, 0.05486144417558204, 0.06361007177673111, 0.2318392032307615, 0.22745079172521152, 0.11800163371001625, 0.14693985847539312, -0.2713071150223682, 0.03346823147413405, -0.34237448732495646, -0.1473404205700552, -0.16539301408391277, 0.05928801642254588, -0.03713379482277643, -0.1335610471750525, 0.43871177660978655, 0.1226217303192243, 0.11123606342483651, -0.033367078674597324, 0.3393664849414067, 0.03977392268875106, 0.04921891787406904, 0.02715725879798728, 0.3508740368045189, 0.08042706999483264, 0.17129948079607196, -0.22853707625869324, 0.03785043508237736, 0.01542518184710802] |
709.1411 | BV Yang-Mills as a Homotopy Chern-Simons via SFT | We show explicitly how BV Yang-Mills action emerges as a homotopy
generalization of Chern-Simons theory from the algebraic constructions arising
from String Field Theory.
| hep-th math-ph math.MP math.QA | we show explicitly how bv yangmills action emerges as a homotopy generalization of chernsimons theory from the algebraic constructions arising from string field theory | [['we', 'show', 'explicitly', 'how', 'bv', 'yangmills', 'action', 'emerges', 'as', 'a', 'homotopy', 'generalization', 'of', 'chernsimons', 'theory', 'from', 'the', 'algebraic', 'constructions', 'arising', 'from', 'string', 'field', 'theory']] | [-0.11771439640627553, 0.16241515167833617, -0.18429597653448582, 0.17364733999905488, -0.1064228107376645, -0.125722919338538, 0.008312610676512122, 0.24531061062589288, -0.3447520583868027, -0.25321149837691337, 0.017198431441405166, -0.23233066064616045, -0.3691643135001262, 0.09904791426379234, -0.20474649798901132, -0.08126675306508939, -0.01290918537415564, 0.14072271611075848, -0.17279593161462495, -0.2224246016703546, 0.38131914629290503, -0.0843297576260132, 0.23077460361628255, 0.029983353160787374, 0.1169328274554573, 0.0005147261399542913, -0.007421058835461736, 0.10031223675468937, -0.1300366351303334, 0.15659795025809822, 0.3148849974386394, 0.11328914994373918, 0.09448281822218026, -0.4558815925071637, -0.24569315587480864, -0.006890909668679039, 0.14899651411299905, 0.2184583367779851, 7.68516135091583e-05, -0.28635091877852875, 0.042215037353647254, -0.22074665740365162, -0.11077441434220721, -0.11766833629614364, -0.03869469620500846, -0.09267562939203344, -0.1912274599696199, 0.00834149851774176, -0.001793843732836346, 0.14081970769439067, -0.09115530954053004, -0.030194778766599484, -0.09453684836626053, 0.08255900436779484, 0.15144539717584848, 0.1564814517235694, 0.15302763601842648, -0.21771590264203647, -0.2044740440348202, 0.40874491608701646, -0.12746212119236588, -0.18541873487023017, 0.08674715412780643, -0.06012161293377479, -0.21780072061422592, 0.07372082579725732, 0.05132127679341162, 0.18075476804127297, -0.019642838393338025, 0.36773327097762376, -0.07547886467849214, 0.10934039593363802, 0.12384384754113853, 0.082109217143928, 0.19267043052241206, 0.03846167695398132, 0.01923228152251492, 0.16909478038238981, 0.053539540308217205, -0.21645511830380806, -0.47032021048168343, -0.0452319568527552, -0.07619316844890515, 0.2736114605795592, -0.1608937703228245, -0.22222752900173268, 0.326093297995006, 0.1482646201426784, 0.100393548704839, 0.16804896060299748, 0.18374733246552447, 0.11988729397126008, 0.03505815348277489, -0.006491911597549915, 0.14092375200076881, 0.3196769290758918, 0.04766832470583419, -0.21307838865808057, -0.25701633128725615, 0.3664456685073674] |
709.1412 | Heat Transport in Quantum Spin Chains: Stochastic Baths vs Quantum
Trajectories | We discuss the problem of heat conduction in quantum spin chain models. To
investigate this problem it is necessary to consider the finite open system
connected to heat baths. We describe two different procedures to couple the
system with the reservoirs: a model of stochastic heat baths and the quantum
trajectories solution of the quantum master equation. The stochastic heat bath
procedure operates on the pure wave function of the isolated system, so that it
is locally and periodically collapsed to a quantum state consistent with a
boundary nonequilibrium state. In contrast, the quantum trajectories procedure
evaluates ensemble averages in terms of the reduced density matrix operator of
the system. We apply these procedures to different models of quantum spin
chains and numerically show their applicability to study the heat flow.
| cond-mat.stat-mech quant-ph | we discuss the problem of heat conduction in quantum spin chain models to investigate this problem it is necessary to consider the finite open system connected to heat baths we describe two different procedures to couple the system with the reservoirs a model of stochastic heat baths and the quantum trajectories solution of the quantum master equation the stochastic heat bath procedure operates on the pure wave function of the isolated system so that it is locally and periodically collapsed to a quantum state consistent with a boundary nonequilibrium state in contrast the quantum trajectories procedure evaluates ensemble averages in terms of the reduced density matrix operator of the system we apply these procedures to different models of quantum spin chains and numerically show their applicability to study the heat flow | [['we', 'discuss', 'the', 'problem', 'of', 'heat', 'conduction', 'in', 'quantum', 'spin', 'chain', 'models', 'to', 'investigate', 'this', 'problem', 'it', 'is', 'necessary', 'to', 'consider', 'the', 'finite', 'open', 'system', 'connected', 'to', 'heat', 'baths', 'we', 'describe', 'two', 'different', 'procedures', 'to', 'couple', 'the', 'system', 'with', 'the', 'reservoirs', 'a', 'model', 'of', 'stochastic', 'heat', 'baths', 'and', 'the', 'quantum', 'trajectories', 'solution', 'of', 'the', 'quantum', 'master', 'equation', 'the', 'stochastic', 'heat', 'bath', 'procedure', 'operates', 'on', 'the', 'pure', 'wave', 'function', 'of', 'the', 'isolated', 'system', 'so', 'that', 'it', 'is', 'locally', 'and', 'periodically', 'collapsed', 'to', 'a', 'quantum', 'state', 'consistent', 'with', 'a', 'boundary', 'nonequilibrium', 'state', 'in', 'contrast', 'the', 'quantum', 'trajectories', 'procedure', 'evaluates', 'ensemble', 'averages', 'in', 'terms', 'of', 'the', 'reduced', 'density', 'matrix', 'operator', 'of', 'the', 'system', 'we', 'apply', 'these', 'procedures', 'to', 'different', 'models', 'of', 'quantum', 'spin', 'chains', 'and', 'numerically', 'show', 'their', 'applicability', 'to', 'study', 'the', 'heat', 'flow']] | [-0.1476259006343725, 0.15678585311469004, -0.07190076561772642, 0.045919661116004276, -0.0016526342760629325, -0.16272290007261034, 0.06169484180526253, 0.35671880195727784, -0.30522274850149644, -0.23438700820667713, 0.08270115253625736, -0.3056665051387239, -0.10419042420907672, 0.2044089815014163, -0.007002284217142422, 0.11521599955060555, 0.09494748407839762, 0.05735840998902803, -0.06524703990604075, -0.219907068005827, 0.33032799533475904, 0.005615564903869997, 0.28988669253174815, 0.027857045287564965, 0.14566487071587783, -0.018922763307870346, 0.05444862938109245, 0.007805886533545003, -0.12845992696250902, 0.06699165993704255, 0.23031605441614902, 0.048876864050038674, 0.2405399019254073, -0.46419667249246865, -0.24932020637811025, 0.10282074414790814, 0.08063005493333535, 0.16586386364749597, 0.0315292269117661, -0.255497025788001, 0.014231647217276556, -0.18471222417073624, -0.13003664074877974, -0.08819538581128168, -0.05164433496769603, 0.0015159276881049038, -0.20734518842473057, 0.11423873737141604, 0.08043529463306297, -0.017507981645824913, -0.06680124486842769, -0.05545447584426471, 0.013235175246301726, 0.12158948225360222, -0.009537922828067237, -0.0255992965655444, 0.17671681378918294, -0.11146188787724964, -0.10634322391239968, 0.3181764622759216, -0.08362861900974264, -0.24837959317120772, 0.21351630866122326, -0.12808066046306196, -0.07994249957446578, 0.07086729830600151, 0.15858228374556957, 0.14270104684525717, -0.23878385702091207, 0.09557562005814549, 0.01342192055128305, 0.12765082076657563, -0.021407689790788838, 0.002032536981300316, 0.2089489460087431, 0.13825375212797228, 0.09246079283517622, 0.22907613619152484, -0.028943430973600796, -0.2043768364833028, -0.2836882586711804, -0.2078121126920895, -0.20380091535830372, 0.09401632843302289, -0.057758515735911314, -0.20648426052808533, 0.41042214796970816, 0.20247201651458982, 0.15895363004551133, 0.007318002218025104, 0.2657750434249298, 0.18907906968885932, -0.0034307408669096142, 0.1105822370821283, 0.15958243037773054, 0.2104474920424, 0.12065537633260584, -0.35242826298220464, -0.005604394942607361, 0.06969580436587504] |
709.1413 | Equivalence of Gutzwiller and slave-boson mean-field theories for
multi-band Hubbard models | We demonstrate that a recently introduced slave-boson mean-field theory is
equivalent to our Gutzwiller theory for multi-band Hubbard models with general
onsite interactions. We relate the different objects that appear in both
approaches at zero temperature and discuss the limitations of both methods.
| cond-mat.str-el | we demonstrate that a recently introduced slaveboson meanfield theory is equivalent to our gutzwiller theory for multiband hubbard models with general onsite interactions we relate the different objects that appear in both approaches at zero temperature and discuss the limitations of both methods | [['we', 'demonstrate', 'that', 'a', 'recently', 'introduced', 'slaveboson', 'meanfield', 'theory', 'is', 'equivalent', 'to', 'our', 'gutzwiller', 'theory', 'for', 'multiband', 'hubbard', 'models', 'with', 'general', 'onsite', 'interactions', 'we', 'relate', 'the', 'different', 'objects', 'that', 'appear', 'in', 'both', 'approaches', 'at', 'zero', 'temperature', 'and', 'discuss', 'the', 'limitations', 'of', 'both', 'methods']] | [-0.06525193156977725, 0.1164340824321952, -0.10932860250157023, 0.165232939702502, -0.022001884271239124, -0.17718227750210222, 0.05366662419184522, 0.3918402039034422, -0.2250038778712583, -0.2307902324273316, -0.003920093213944415, -0.30124873804404984, -0.20034607271389726, 0.13424208075847738, -0.023183379647170387, -0.009553538288834483, -0.011221241227589374, -0.041212858675524246, -0.1788522136440977, -0.2970199347148801, 0.3180430111323678, -0.03489363670002583, 0.29594552083763964, 0.10954666284974231, 0.06877257011094412, 0.04867169592356266, 0.06545447493188603, 0.11133454319869363, -0.1448059048585534, 0.08394572046736992, 0.2549811398085419, 0.007866725715440373, 0.2783347289402818, -0.45588890658041764, -0.30507560245432824, 0.002408491339274617, 0.12422957962248908, 0.19998196941302265, -0.01185038349277145, -0.3159563454994282, 0.041438621728746, -0.23718505941851195, -0.14595410091325986, -0.16763163202030715, -0.030181987211108208, 0.03438954302218071, -0.25591836046687394, 0.08623650951614213, -0.0007521024103774581, 0.08558694970642411, -0.12044230615720153, -0.1484849044462926, 0.004959348594596566, 0.061443335452485225, 0.03455951495291015, 0.02739651753502183, 0.05386561486696781, -0.1253982141700595, -0.14812737217086347, 0.3604919088051416, -0.08745924058521903, -0.15226906910538673, 0.27208972137508003, -0.10021114881085448, -0.1566367385215884, 0.04609698849814121, 0.0931187056784713, 0.09497236834059275, -0.15500119503934023, 0.17093625651580432, -0.027553090349186297, 0.1273452189512724, -0.07059780900301628, 0.04059127052883119, 0.18472251735714285, 0.1450214397032247, 0.02753707412413733, 0.09387195326366224, -0.11106539983302355, -0.16138236378427856, -0.2586312604158424, -0.05978093657989141, -0.1756646676032349, -0.04679883412237084, -0.07231113162984108, -0.17889798028654483, 0.3980261051247633, 0.2992759718408072, 0.15138996522440468, 0.09519273926352345, 0.2571713864900778, 0.17581420187394373, 0.04100470082444507, 0.043852175033629634, 0.23833940630821987, 0.17621628511263882, 0.041245186159950355, -0.25873056046534765, -0.06718800080057537, 0.09560776443415603] |
709.1414 | Magnetic fields and accretion flows on the classical T Tauri star V2129
Oph | From observations collected with the ESPaDOnS spectropolarimeter, we report
the discovery of magnetic fields at the surface of the mildly accreting
classical T Tauri star V2129 Oph. Zeeman signatures are detected, both in
photospheric lines and in the emission lines formed at the base of the
accretion funnels linking the disc to the protostar, and monitored over the
whole rotation cycle of V2129 Oph. We observe that rotational modulation
dominates the temporal variations of both unpolarized and circularly polarized
line profiles. We reconstruct the large-scale magnetic topology at the surface
of V2129 Oph from both sets of Zeeman signatures simultaneously. We find it to
be rather complex, with a dominant octupolar component and a weak dipole of
strengths 1.2 and 0.35 kG, respectively, both slightly tilted with respect to
the rotation axis. The large-scale field is anchored in a pair of 2-kG unipolar
radial field spots located at high latitudes and coinciding with cool dark
polar spots at photospheric level. This large-scale field geometry is unusually
complex compared to those of non-accreting cool active subgiants with moderate
rotation rates. As an illustration, we provide a first attempt at modelling the
magnetospheric topology and accretion funnels of V2129 Oph using field
extrapolation. We find that the magnetosphere of V2129 Oph must extend to about
7R* to ensure that the footpoints of accretion funnels coincide with the
high-latitude accretion spots on the stellar surface. It suggests that the
stellar magnetic field succeeds in coupling to the accretion disc as far out as
the corotation radius, and could possibly explain the slow rotation of V2129
Oph. The magnetospheric geometry we derive produces X-ray coronal fluxes
typical of those observed in cTTSs.
| astro-ph | from observations collected with the espadons spectropolarimeter we report the discovery of magnetic fields at the surface of the mildly accreting classical t tauri star v2129 oph zeeman signatures are detected both in photospheric lines and in the emission lines formed at the base of the accretion funnels linking the disc to the protostar and monitored over the whole rotation cycle of v2129 oph we observe that rotational modulation dominates the temporal variations of both unpolarized and circularly polarized line profiles we reconstruct the largescale magnetic topology at the surface of v2129 oph from both sets of zeeman signatures simultaneously we find it to be rather complex with a dominant octupolar component and a weak dipole of strengths 12 and 035 kg respectively both slightly tilted with respect to the rotation axis the largescale field is anchored in a pair of 2kg unipolar radial field spots located at high latitudes and coinciding with cool dark polar spots at photospheric level this largescale field geometry is unusually complex compared to those of nonaccreting cool active subgiants with moderate rotation rates as an illustration we provide a first attempt at modelling the magnetospheric topology and accretion funnels of v2129 oph using field extrapolation we find that the magnetosphere of v2129 oph must extend to about 7r to ensure that the footpoints of accretion funnels coincide with the highlatitude accretion spots on the stellar surface it suggests that the stellar magnetic field succeeds in coupling to the accretion disc as far out as the corotation radius and could possibly explain the slow rotation of v2129 oph the magnetospheric geometry we derive produces xray coronal fluxes typical of those observed in cttss | [['from', 'observations', 'collected', 'with', 'the', 'espadons', 'spectropolarimeter', 'we', 'report', 'the', 'discovery', 'of', 'magnetic', 'fields', 'at', 'the', 'surface', 'of', 'the', 'mildly', 'accreting', 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'the', 'stellar', 'magnetic', 'field', 'succeeds', 'in', 'coupling', 'to', 'the', 'accretion', 'disc', 'as', 'far', 'out', 'as', 'the', 'corotation', 'radius', 'and', 'could', 'possibly', 'explain', 'the', 'slow', 'rotation', 'of', 'v2129', 'oph', 'the', 'magnetospheric', 'geometry', 'we', 'derive', 'produces', 'xray', 'coronal', 'fluxes', 'typical', 'of', 'those', 'observed', 'in', 'cttss']] | [-0.14202500389061412, 0.16240452339738923, -0.028871006988116253, 0.08785888373750436, -0.112643227578315, -0.1051676913286834, 0.020474991392639044, 0.43044951410709525, -0.21579167763034648, -0.32910607769359207, 0.06443521383607077, -0.22677660916564255, -0.03866445498956408, 0.20692819514455904, -0.011809513947705356, -0.05925256075009221, 0.055792534834221204, -0.02101261251538627, -0.05227184188451699, -0.19011644791039511, 0.29367247849816736, 0.0625462872688089, 0.13433252912175528, -0.026560960491623382, 0.030167514846908102, -0.12074372625454134, -0.01772567808708484, 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709.1415 | Predicting the Ionization Threshold for Carriers in Excited
Semiconductors | A simple set of formulas is presented which allows prediction of the fraction
of ionized carriers in an electron-hole-exciton gas in a photoexcited
semiconductor. These results are related to recent experiments with excitons in
single and double quantum wells.
| cond-mat.other | a simple set of formulas is presented which allows prediction of the fraction of ionized carriers in an electronholeexciton gas in a photoexcited semiconductor these results are related to recent experiments with excitons in single and double quantum wells | [['a', 'simple', 'set', 'of', 'formulas', 'is', 'presented', 'which', 'allows', 'prediction', 'of', 'the', 'fraction', 'of', 'ionized', 'carriers', 'in', 'an', 'electronholeexciton', 'gas', 'in', 'a', 'photoexcited', 'semiconductor', 'these', 'results', 'are', 'related', 'to', 'recent', 'experiments', 'with', 'excitons', 'in', 'single', 'and', 'double', 'quantum', 'wells']] | [-0.07691246588671531, 0.1695917791868468, -0.010460727927765172, -0.005761062907128546, 0.021019839436600084, -0.1351543892861197, 0.06649642429731198, 0.3919510512955879, -0.2257108325138688, -0.2751059858618598, -0.03349494578402588, -0.34554291399552695, -0.10470256488770247, 0.281579428523975, -0.034425715313486045, 0.06580878159423408, 0.036057999578157536, -0.05061738729771031, -0.04680504666420778, -0.26302596500241443, 0.2667844131785004, 0.029071342797435232, 0.24960322560448395, 0.143263604688017, 0.061004107634193803, -0.023007760767971997, 0.032078617963155635, -0.024620275846437403, -0.13566827715227478, 0.16344219286877074, 0.27352808805574713, -0.02566096091054772, 0.2626985349006167, -0.4645393297174259, -0.16752840502579747, 0.01412056849681233, 0.1795799196820314, 0.17087595701205396, -0.16601927924018942, -0.29057235790318564, 0.03559965167292639, -0.16228470179301344, -0.07767357769128132, -0.04221375681165802, -0.007985349940626245, 0.03690067432379644, -0.2577095961100177, 0.10880098445953704, 0.015130461156858425, -0.04387358080987867, -0.07932250247196, -0.058090353286580035, 0.015586269645657586, 0.08453461294993758, -0.011093456255223014, 0.010466105733556967, 0.19708717517603777, -0.14134127605020216, -0.17932660350772112, 0.3885960923997979, -0.09297024925533486, -0.14400900853797793, 0.21163863502442837, -0.2064307661187884, -0.06160174282022605, 0.18392679200654752, 0.12431500783484233, 0.1498094800075418, -0.14349173759355358, 0.07061859025270678, -0.12849081393429324, 0.15911020360592948, -0.012009344719301322, 0.09984170645475388, 0.2878810125158021, 0.1611528942165406, -0.015612348497502114, 0.12985124657739347, -0.10682972750969623, -0.11938297336823062, -0.23984685857967156, -0.21979853861940732, -0.19726519649358173, 0.0723035117660306, -0.022073394361206356, -0.19610385958252377, 0.4053854833994257, 0.07744078007281611, 0.22682095326385215, -0.025898046224794694, 0.2633016850603254, 0.1470191221945386, 0.06660692631512095, 0.010899123061742438, 0.19477602957110657, 0.19206955347602306, 0.061900602846626976, -0.21363269519305936, 0.034689551124373746, 0.002698917162457579] |
709.1416 | A note on the component structure in random intersection graphs with
tunable clustering | We study the component structure in random intersection graphs with tunable
clustering, and show that the average degree works as a threshold for a phase
transition for the size of the largest component. That is, if the expected
degree is less than one, the size of the largest component is a.a.s. of
logarithmic order, but if the average degree is greater than one, a.a.s. a
single large component of linear order emerges, and the size of the second
largest component is at most of logarithmic order.
| math.PR | we study the component structure in random intersection graphs with tunable clustering and show that the average degree works as a threshold for a phase transition for the size of the largest component that is if the expected degree is less than one the size of the largest component is aas of logarithmic order but if the average degree is greater than one aas a single large component of linear order emerges and the size of the second largest component is at most of logarithmic order | [['we', 'study', 'the', 'component', 'structure', 'in', 'random', 'intersection', 'graphs', 'with', 'tunable', 'clustering', 'and', 'show', 'that', 'the', 'average', 'degree', 'works', 'as', 'a', 'threshold', 'for', 'a', 'phase', 'transition', 'for', 'the', 'size', 'of', 'the', 'largest', 'component', 'that', 'is', 'if', 'the', 'expected', 'degree', 'is', 'less', 'than', 'one', 'the', 'size', 'of', 'the', 'largest', 'component', 'is', 'aas', 'of', 'logarithmic', 'order', 'but', 'if', 'the', 'average', 'degree', 'is', 'greater', 'than', 'one', 'aas', 'a', 'single', 'large', 'component', 'of', 'linear', 'order', 'emerges', 'and', 'the', 'size', 'of', 'the', 'second', 'largest', 'component', 'is', 'at', 'most', 'of', 'logarithmic', 'order']] | [-0.15905521301888362, 0.14912461054912055, -0.05384495066543824, 0.010596762943287315, -0.048932545255263186, -0.07986095322967442, -0.01508517055650415, 0.3238382166966276, -0.24765749844901133, -0.2834969584851764, 0.12525925037943822, -0.35785623787100923, -0.1234951127580432, 0.1419418572318242, 0.03173107300820046, -0.02385081494850415, 0.004264962973159759, 0.14850430071982013, -0.006268785091463563, -0.25744744885961934, 0.3299872275241542, 0.06399589884203187, 0.25295199445167255, 0.036069598996491974, 0.08801316175349923, -0.011611497127126122, 0.019211248386391374, 0.07537846929978492, -0.08209706844608326, 0.11166299440962978, 0.17430224542527697, 0.0777502933213877, 0.2933607954927179, -0.3035201763647587, -0.1632134411484003, 0.16899672714549355, 0.11324527873765937, 0.08750227285917242, 0.034078256562785354, -0.12750313962474033, 0.1853436442676845, -0.13433298542956837, -0.18676284741783558, 0.0285202355210691, 0.09261060376694902, -0.00980096673430485, -0.27671161563430785, 0.07733319063811715, 0.10886784859521445, 0.059626733115332765, 0.04640566720897982, -0.15466302341976484, -0.03773333831841862, 0.13121393316447041, -0.0004879519056398855, 0.06078742475108092, 0.08250818134090582, -0.18120824244566436, -0.09438171229043672, 0.4048301533167792, -0.08936286255816095, -0.10471637579504141, 0.141632326250506, -0.21766617022411422, -0.12387669980688411, 0.15993731092055177, 0.16861137300513165, 0.1333893163801106, -0.05732270037324904, 0.04298846505793505, -0.0278434386953365, 0.2953700810497583, 0.05278492791491539, 0.029067119491438188, 0.12060084867529398, 0.19510332594603993, 0.16838996788096983, 0.15427777049981795, -0.1125052459253713, -0.07392585723725863, -0.2911354642967845, -0.1564073978928676, -0.2530442079485849, 0.035698181826372216, -0.17496532518491095, -0.16588997836549615, 0.44041760538726354, 0.08750434078514403, 0.220351027887921, 0.0840046343956749, 0.28944006567106173, 0.15313960887832828, 0.12542131490637223, 0.12768143206986404, 0.2290597226643978, 0.11322885730065578, -0.010252637463773405, -0.186402443783198, 0.15161600568721634, 0.031468075337321606] |
709.1417 | Jacobi fields along harmonic 2-spheres in $S^3$ and $S^4$ are not all
integrable | In a previous paper, we showed that any Jacobi field along a harmonic map
from the 2-sphere to the complex projective plane is integrable (i.e., is
tangent to a smooth variation through harmonic maps). In this paper, in
contrast, we show that there are (non-full) harmonic maps from the 2-sphere to
the 3-sphere and 4-sphere which have non-integrable Jacobi fields. This is
particularly surprising in the case of the 3-sphere where the space of harmonic
maps of any degree is a smooth manifold, each map having image in a totally
geodesic 2-sphere.
| math.DG | in a previous paper we showed that any jacobi field along a harmonic map from the 2sphere to the complex projective plane is integrable ie is tangent to a smooth variation through harmonic maps in this paper in contrast we show that there are nonfull harmonic maps from the 2sphere to the 3sphere and 4sphere which have nonintegrable jacobi fields this is particularly surprising in the case of the 3sphere where the space of harmonic maps of any degree is a smooth manifold each map having image in a totally geodesic 2sphere | [['in', 'a', 'previous', 'paper', 'we', 'showed', 'that', 'any', 'jacobi', 'field', 'along', 'a', 'harmonic', 'map', 'from', 'the', '2sphere', 'to', 'the', 'complex', 'projective', 'plane', 'is', 'integrable', 'ie', 'is', 'tangent', 'to', 'a', 'smooth', 'variation', 'through', 'harmonic', 'maps', 'in', 'this', 'paper', 'in', 'contrast', 'we', 'show', 'that', 'there', 'are', 'nonfull', 'harmonic', 'maps', 'from', 'the', '2sphere', 'to', 'the', '3sphere', 'and', '4sphere', 'which', 'have', 'nonintegrable', 'jacobi', 'fields', 'this', 'is', 'particularly', 'surprising', 'in', 'the', 'case', 'of', 'the', '3sphere', 'where', 'the', 'space', 'of', 'harmonic', 'maps', 'of', 'any', 'degree', 'is', 'a', 'smooth', 'manifold', 'each', 'map', 'having', 'image', 'in', 'a', 'totally', 'geodesic', '2sphere']] | [-0.19308392158911927, 0.06348215786578215, -0.08506105939412247, 0.023018432525492717, -0.08504749712554495, -0.11486721530293478, -0.06626441885221182, 0.392090800339761, -0.28517228390252136, -0.15223328388579513, 0.0821696792554576, -0.2763223873056552, -0.24219980503877866, 0.21003833933449959, -0.1435353293718831, 0.014602833802042447, 0.07689704867737854, 0.09921133534415909, -0.10508546298470996, -0.2591110926878173, 0.4299833300806906, -0.04336095975873911, 0.1711153795780695, 0.046613514757431716, 0.15600912670766853, -0.015538374574490539, 0.023275054533176288, 0.01847011710070428, -0.11351840134849898, 0.12880801270860145, 0.24845463405970647, 0.05597364481376565, 0.17705795320216566, -0.34511661067928956, -0.23370470764601362, 0.23179220349487403, 0.15325286854425466, 0.0582870980357731, -0.018494479267088616, -0.255081789585782, 0.030553999326556273, -0.041998473283456406, -0.12934590112822858, -0.04559294792884232, 0.02188315238606225, 0.044470605592283864, -0.21752480274754699, 0.030076130192078974, 0.14004789370380383, 0.13591698575359973, -0.03954161274874502, -0.01276130883185112, -0.09014697399233347, 0.1140661809856639, 0.012941101808910784, 0.19394871366271021, 0.10403081125316574, -0.07563049496536184, -0.07424182064183381, 0.3978442588173177, -0.10958616735170716, -0.3339882117453153, 0.12651564852516775, -0.2107132144636758, -0.18527984425283806, 0.17417394092468463, 0.11659964210475268, 0.12220889738882365, -0.08445897399265644, 0.18737767485372783, -0.11406564634576764, 0.1296513153204654, 0.13254912791308016, -0.10183755451124972, 0.18748064160994862, 0.054013107012471424, 0.15855570334963925, 0.18851179789002662, -0.06469805710746543, -0.10167233279460798, -0.3008581135907899, -0.22356109672134905, -0.17883991160171875, 0.1035491573502836, -0.10838643204324003, -0.17974155995508898, 0.4324575396262251, 0.04953025559813756, 0.24849397672907167, 0.08775917774840744, 0.2951905223662439, 0.06546653942812396, 0.05039076538473044, 0.06697465428758574, 0.2076178227460174, 0.15925549429274447, 0.040449669539078095, -0.09050956597227765, -0.10878744581208119, 0.11343379123338862] |
709.1418 | Shock minimized supersonic flight by heating | Bow shocks radiate a lot of energy away around supersonic objects in air. To
minimize such waves is urgent for fast aircraft. Heat experiments exist where
air drag is minimized. Here is a theoretical description of how shocks can be
prevented by special distribution of heating.
| physics.flu-dyn | bow shocks radiate a lot of energy away around supersonic objects in air to minimize such waves is urgent for fast aircraft heat experiments exist where air drag is minimized here is a theoretical description of how shocks can be prevented by special distribution of heating | [['bow', 'shocks', 'radiate', 'a', 'lot', 'of', 'energy', 'away', 'around', 'supersonic', 'objects', 'in', 'air', 'to', 'minimize', 'such', 'waves', 'is', 'urgent', 'for', 'fast', 'aircraft', 'heat', 'experiments', 'exist', 'where', 'air', 'drag', 'is', 'minimized', 'here', 'is', 'a', 'theoretical', 'description', 'of', 'how', 'shocks', 'can', 'be', 'prevented', 'by', 'special', 'distribution', 'of', 'heating']] | [-0.13680636807871255, 0.23571439694775187, -0.04275653519384239, 0.0860235786809505, -0.1400605362293351, -0.0725743644060972, 0.03281183891079348, 0.4132342566938504, -0.2902446591229502, -0.30887278047916683, 0.09577149704210056, -0.3368442433572415, -0.04583682190707844, 0.2472986831613209, -0.06748252737578815, 0.017781665285482355, 0.12009227760237358, -0.054330728583685726, 0.024615529580446688, -0.10152793201901343, 0.2495073334556883, 0.1556341147414692, 0.22893049643860888, 0.11351951646982976, 0.07820491087825401, -0.11982123224246922, 0.03405315364184587, 0.017296792762151555, -0.09955676748801995, -0.00648376384102132, 0.2837368457213692, 0.11324192551167114, 0.32552425386181666, -0.5621925106110133, -0.33046067327908846, 0.10446606918602534, 0.17277284563802506, 0.0800233890261987, -0.09476719142707146, -0.21708359107699082, 0.05779046030796092, -0.19131514758033596, -0.1716163630658032, -0.015824863899742133, 0.04547120220756725, 0.08875866656434601, -0.22852847748436034, 0.08362727188606463, 0.04712675458184727, 0.04265188373139371, -0.04908247193847985, -0.01143537158065516, -0.0652429772257481, 0.09727019786267825, 0.13331219067533864, 0.05174156742514637, 0.2299116693497838, -0.16260296758264303, -0.03711307660231124, 0.440571665763855, -0.02157314390996876, -0.16921651525341946, 0.20024086574456937, -0.13309071483799134, -0.044964333166084856, 0.2740950951803192, 0.24576903760190244, 0.1056975131429246, -0.14303170438127025, -0.03686216214428777, -0.06209705934515628, 0.09361677224059468, 0.1452451783546206, -0.050012329816008394, 0.28387321687667916, 0.16257164825725814, 0.08116301620864998, 0.146578782033074, -0.10273465911007446, -0.034271126532036324, -0.2607876945529943, -0.1477784405907859, -0.2094763762763013, 0.05864881208854849, -0.0030899194534868, -0.13404749406697153, 0.29858871970487677, 0.17425877247613086, 0.11742730565247653, -0.06789592596823754, 0.37024672710053297, 0.12671626573833433, 0.0016794853904486997, 0.2005446870183653, 0.2949616883112037, 0.07126738566844522, 0.06494369892322499, -0.19123565486465258, 0.0689506012359229, 0.013868923825414284] |
709.1419 | Theory of subgap interchain tunneling in quasi one-dimensional
conductors | We suggest a theory of internal coherent tunneling in the pseudogap region,
when the applied voltage U is below the free electron gap 2Delta_0. We address
quasi 1D systems, where the gap is originated by spontaneous lattice
distortions of the Incommensurate Charge Density Wave (ICDW) type. Results can
be adjusted also to quasi-1D superconductors. The instanton approach allows to
calculate the interchain tunneling current both in single electron (amplitude
solitons, i.e. spinons) and bi-electron (phase slips) channels. Transition
rates are governed by a dissipative dynamics originated by emission of gapless
phase excitations in the course of the instanton process. We find that the
single-electron tunneling is allowed below the nominal gap 2Delta_0 down to the
true pair-breaking threshold at 2W_as<2Delta, where W_as=2Delta/pi is the
amplitude soliton energy. Most importantly, the bi-electronic tunneling
stretches down to U=0 (in the 1D regime). In both cases, the threshold behavior
is given by power laws J (U-U_c)^beta, where the exponent beta v_F/u is large
as the ratio of the Fermi velocity v_F and the phase one u. In the 2D or 3D
ordered phases, at temperature T<T_c, the one-electron tunneling current does
not vanish at the threshold U_c anymore, but saturates above it at U-U_c
T_c<<Delta. Also the bi-particle channel acquires a finite threshold U_c=W_ph
T_c<<Delta at the energy W_ph of the 2\pi phase soliton.
| cond-mat.str-el | we suggest a theory of internal coherent tunneling in the pseudogap region when the applied voltage u is below the free electron gap 2delta_0 we address quasi 1d systems where the gap is originated by spontaneous lattice distortions of the incommensurate charge density wave icdw type results can be adjusted also to quasi1d superconductors the instanton approach allows to calculate the interchain tunneling current both in single electron amplitude solitons ie spinons and bielectron phase slips channels transition rates are governed by a dissipative dynamics originated by emission of gapless phase excitations in the course of the instanton process we find that the singleelectron tunneling is allowed below the nominal gap 2delta_0 down to the true pairbreaking threshold at 2w_as2delta where w_as2deltapi is the amplitude soliton energy most importantly the bielectronic tunneling stretches down to u0 in the 1d regime in both cases the threshold behavior is given by power laws j uu_cbeta where the exponent beta v_fu is large as the ratio of the fermi velocity v_f and the phase one u in the 2d or 3d ordered phases at temperature tt_c the oneelectron tunneling current does not vanish at the threshold u_c anymore but saturates above it at uu_c t_cdelta also the biparticle channel acquires a finite threshold u_cw_ph t_cdelta at the energy w_ph of the 2pi phase soliton | [['we', 'suggest', 'a', 'theory', 'of', 'internal', 'coherent', 'tunneling', 'in', 'the', 'pseudogap', 'region', 'when', 'the', 'applied', 'voltage', 'u', 'is', 'below', 'the', 'free', 'electron', 'gap', '2delta_0', 'we', 'address', 'quasi', '1d', 'systems', 'where', 'the', 'gap', 'is', 'originated', 'by', 'spontaneous', 'lattice', 'distortions', 'of', 'the', 'incommensurate', 'charge', 'density', 'wave', 'icdw', 'type', 'results', 'can', 'be', 'adjusted', 'also', 'to', 'quasi1d', 'superconductors', 'the', 'instanton', 'approach', 'allows', 'to', 'calculate', 'the', 'interchain', 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709.142 | Compact differences of composition operators from Bloch space to bounded
holomorphic function space in the Polydisc | Let $\phi$ and $\psi$ be holomorphic self-maps of the unit polydisc $U^n$ in
the $n$-dimensional complex space, and denote by $C_{\phi}$ and $C_{\psi}$ the
induced composition operators. This paper gives some simple estimates of the
essential norm for the difference of composition operators $C_{\phi}-C_{\psi}$
from Bloch space to bounded holomorphic function space in the unit polydisc.
Moreover the compactness of the difference is also characterized.
| math.FA math.CV | let phi and psi be holomorphic selfmaps of the unit polydisc un in the ndimensional complex space and denote by c_phi and c_psi the induced composition operators this paper gives some simple estimates of the essential norm for the difference of composition operators c_phic_psi from bloch space to bounded holomorphic function space in the unit polydisc moreover the compactness of the difference is also characterized | [['let', 'phi', 'and', 'psi', 'be', 'holomorphic', 'selfmaps', 'of', 'the', 'unit', 'polydisc', 'un', 'in', 'the', 'ndimensional', 'complex', 'space', 'and', 'denote', 'by', 'c_phi', 'and', 'c_psi', 'the', 'induced', 'composition', 'operators', 'this', 'paper', 'gives', 'some', 'simple', 'estimates', 'of', 'the', 'essential', 'norm', 'for', 'the', 'difference', 'of', 'composition', 'operators', 'c_phic_psi', 'from', 'bloch', 'space', 'to', 'bounded', 'holomorphic', 'function', 'space', 'in', 'the', 'unit', 'polydisc', 'moreover', 'the', 'compactness', 'of', 'the', 'difference', 'is', 'also', 'characterized']] | [-0.14583363273413852, 0.12842720531625673, -0.04132024478576568, 0.04937853468436515, -0.07151947401143843, -0.009093064785702154, -0.012551659225209733, 0.3167064737644978, -0.35053131348104216, -0.1741000630427152, 0.09171473697278998, -0.2911863830377115, -0.1484102257345512, 0.18782997378730215, -0.12086707653361373, 0.028150044406629604, -0.0006044511683285236, 0.08507799437757058, -0.16906859421578702, -0.2342750291863922, 0.46152356344100554, -0.04341691556328442, 0.14556614600587636, 0.07687105354852974, 0.09886159283632878, 0.01829383400036022, -0.009848247878835537, -0.06984821473588454, -0.16953771730186418, 0.18484959486522712, 0.22539029909967212, 0.10168919462012127, 0.24657511078112293, -0.38162735346122645, -0.16386020156824088, 0.269751990941586, 0.1613760507607367, -0.18466714315582067, 0.0017024375993059948, -0.28234371199505404, 0.033046307929907925, -0.06874522246653214, -0.14776597460877383, -0.0973070822074078, 0.04854325478663668, 0.027051606062741484, -0.32065473875263706, 0.032038599288625846, 0.13658699262305163, 0.0853120112878969, -0.15690081277716672, -0.11077497591031715, -0.09980291106330696, 0.11140435679408256, -0.05880646162040648, 0.18313128929003142, 0.11217309697531164, -0.006972802828386193, -0.04233649313391652, 0.351289484242443, -0.1087103461031802, -0.3060300907236524, 0.04154146036307793, -0.2816208842286869, -0.094965223215695, 0.06286330170405563, 0.11957425801665522, 0.14481491240439937, -0.05862856249586912, 0.2628933232745112, -0.07357303556636907, 0.11451697998563759, 0.11225424750591628, 0.057661643069877755, 0.10412661047303118, 0.09325019113020971, 0.14546775009421253, 0.13357113459824177, 0.020095695683266968, -0.06238984959782101, -0.380493275471963, -0.222092174077261, -0.17406541264790576, 0.08875917943441891, -0.13415955736059004, -0.19230559095740318, 0.3900116583608906, -0.003070535880397074, 0.2318490223860863, 0.09237053069955437, 0.1970609536219854, 0.11887434553500498, 0.06984235871641431, 0.03541977584245615, 0.10014764274319532, 0.20717968044482404, 0.03713991426047869, -0.20623198051544023, -0.003657666122308001, 0.19441806866302613] |
709.1421 | Coherence in Linear Predicate Logic | Coherence with respect to Kelly-Mac Lane graphs is proved for categories that
correspond to the multiplicative fragment without constant propositions of
classical linear first-order predicate logic without or with mix. To obtain
this result, coherence is first established for categories that correspond to
the multiplicative conjunction-disjunction fragment with first-order
quantifiers of classical linear logic, a fragment lacking negation. These
results extend results published in previous two books by the authors, where
coherence was established for categories of the corresponding fragments of
propositional classical linear logic, which are related to proof nets, and
which could be described as star-autonomous categories without unit objects.
| math.LO math.CT | coherence with respect to kellymac lane graphs is proved for categories that correspond to the multiplicative fragment without constant propositions of classical linear firstorder predicate logic without or with mix to obtain this result coherence is first established for categories that correspond to the multiplicative conjunctiondisjunction fragment with firstorder quantifiers of classical linear logic a fragment lacking negation these results extend results published in previous two books by the authors where coherence was established for categories of the corresponding fragments of propositional classical linear logic which are related to proof nets and which could be described as starautonomous categories without unit objects | [['coherence', 'with', 'respect', 'to', 'kellymac', 'lane', 'graphs', 'is', 'proved', 'for', 'categories', 'that', 'correspond', 'to', 'the', 'multiplicative', 'fragment', 'without', 'constant', 'propositions', 'of', 'classical', 'linear', 'firstorder', 'predicate', 'logic', 'without', 'or', 'with', 'mix', 'to', 'obtain', 'this', 'result', 'coherence', 'is', 'first', 'established', 'for', 'categories', 'that', 'correspond', 'to', 'the', 'multiplicative', 'conjunctiondisjunction', 'fragment', 'with', 'firstorder', 'quantifiers', 'of', 'classical', 'linear', 'logic', 'a', 'fragment', 'lacking', 'negation', 'these', 'results', 'extend', 'results', 'published', 'in', 'previous', 'two', 'books', 'by', 'the', 'authors', 'where', 'coherence', 'was', 'established', 'for', 'categories', 'of', 'the', 'corresponding', 'fragments', 'of', 'propositional', 'classical', 'linear', 'logic', 'which', 'are', 'related', 'to', 'proof', 'nets', 'and', 'which', 'could', 'be', 'described', 'as', 'starautonomous', 'categories', 'without', 'unit', 'objects']] | [-0.06476353907422853, 0.06217136506641302, -0.05429032329691223, 0.11920637680614704, -0.11979426355055063, -0.15893851215536198, 0.02895551453353745, 0.36680200884100234, -0.3349933903281102, -0.28207498310551066, 0.06647197342256435, -0.22991327789270938, -0.036940748842506865, 0.1745595651480489, -0.153533178473832, 0.06584769045694334, 0.021980209842019965, 0.10260758084235805, -0.04950471778888956, -0.2616400122204519, 0.3539354565119979, -0.04213227455199945, 0.1815104600835112, 0.0008734711630288327, 0.07427925855788116, -0.0021393661304275587, -0.022949910879430203, 0.0688589172354798, -0.08726271200941825, 0.13281947956189954, 0.34989172061167584, 0.15157967914439885, 0.24921203741232062, -0.43346212940788503, -0.1484959988513648, 0.07449666547155616, 0.0614856762470364, 0.09641766916766836, 0.05889117838999275, -0.34820962144006595, 0.12740965030792326, -0.19743572149222882, -0.045870209984149375, -0.09374424141813253, 0.0750846595014676, 0.06856512348859174, -0.22240500589187193, 0.03483967591851655, 0.24656102142416605, 0.08986105212923323, -0.05049456311574224, -0.10906507184548594, 0.0153216634240776, 0.07314123833634992, -0.022598979261583916, 0.024195883232906536, 0.10874847245706927, -0.0879578941183552, -0.23499281254440252, 0.32289383344647316, -0.0409038654980388, -0.18760259674013693, 0.1682241365248983, -0.08993496539735116, -0.1503116815272571, 0.118228806040969, 0.039308731453401025, 0.09265581204897107, -0.1343674066633281, 0.07636184421879998, -0.08731952761438223, 0.2491550505585452, 0.18897793913665828, 0.08247881668324739, 0.1476227718101132, 0.11594933373300303, 0.03261993937009927, 0.19475424780607187, 0.046091158685302086, -0.17559081305390095, -0.3211374784460162, -0.1474443027970962, -0.06616847297075287, 0.0007700208772785297, -0.03272954725858059, -0.17695627944304212, 0.2939173345739889, 0.11863404352478406, 0.1561149834369374, 0.2126065589427616, 0.24905575308395494, 0.12886284958308397, 0.14381319551618013, 0.0012494410563370969, 0.18342198511253638, 0.21009749154984433, 0.08000367793190007, -0.10785315771780835, 0.10416115518880657, 0.13377621895080377] |
709.1422 | Pierre Auger Observatory status and results | The Pierre Auger Observatory, a hybrid detector for the study of ultra-high
energy cosmic rays (UHECRs), is now approaching completion. After describing
Auger present status and performance, with an emphasis on the advantages
provided by the combination of two different detection techniques, this
contribution presents a brief panorama of the first scientific results achieved
and of their impact on our knowledge of the UHECRs' origin and composition.
| astro-ph | the pierre auger observatory a hybrid detector for the study of ultrahigh energy cosmic rays uhecrs is now approaching completion after describing auger present status and performance with an emphasis on the advantages provided by the combination of two different detection techniques this contribution presents a brief panorama of the first scientific results achieved and of their impact on our knowledge of the uhecrs origin and composition | [['the', 'pierre', 'auger', 'observatory', 'a', 'hybrid', 'detector', 'for', 'the', 'study', 'of', 'ultrahigh', 'energy', 'cosmic', 'rays', 'uhecrs', 'is', 'now', 'approaching', 'completion', 'after', 'describing', 'auger', 'present', 'status', 'and', 'performance', 'with', 'an', 'emphasis', 'on', 'the', 'advantages', 'provided', 'by', 'the', 'combination', 'of', 'two', 'different', 'detection', 'techniques', 'this', 'contribution', 'presents', 'a', 'brief', 'panorama', 'of', 'the', 'first', 'scientific', 'results', 'achieved', 'and', 'of', 'their', 'impact', 'on', 'our', 'knowledge', 'of', 'the', 'uhecrs', 'origin', 'and', 'composition']] | [-0.07843163166865845, 0.1167559999324913, -0.0443324165126837, 0.07449766842573673, -0.06690490116545958, 0.023385662488194545, 0.00940823918833995, 0.39432366006076336, -0.20920129002892038, -0.36941550580312066, 0.05104470714481909, -0.3262630901507922, -0.10489491829926621, 0.24893386811087492, 0.015552021139092854, -2.378684732673773e-05, 0.14454357859803668, -0.015188759227575207, -0.057194524083230926, -0.24214722344012402, 0.32246111989466114, 0.2542268501302756, 0.31177004102839906, 0.1270959719237107, 0.15396834860569727, 0.0011843665843523706, -0.13105956328782573, -0.046633166962984335, -0.1198631408415846, 0.16272280679723777, 0.23407003974347418, 0.19788081572849803, 0.2273006892915982, -0.4308550968043395, -0.19639397855959276, 0.045488433384183624, 0.06633762734135919, 0.017475142727480894, -0.14113520475368557, -0.34443790776960886, 0.05332865089233687, -0.16393072648780116, -0.15233331225784635, 0.038648891217534, -0.08465262751247901, 0.03130473563127887, -0.14268068963863345, -0.03423629466916865, 0.021766276918907663, 0.07375451348115579, -0.09940853947426068, -0.1811351404011027, 0.10198493184063083, 0.13387076345397464, 0.09662761436705825, 0.001063696188685387, 0.12865174775804156, -0.12792187397813062, -0.1646504357957573, 0.3675392834441875, -0.08544898537203058, -0.06102666704839012, 0.17361455835547965, -0.1581116982513288, -0.17476939055512644, 0.15122873402798354, 0.14978026705724534, 0.07412923162163639, -0.21078228324985326, 0.11438021025318068, 0.06906972037378087, 0.12348734184321183, 0.04451687683684946, 0.02802425208015006, 0.241920072696547, 0.2611559964438428, 0.08210870274690105, 0.05762314243388098, -0.1329097912313222, 0.005384471225760766, -0.3134939002929561, -0.16473337376851643, -0.2072728757760418, 0.08195482591973312, -0.030290152869967453, -0.12889599562414103, 0.4647903450723015, 0.1386099954677829, 0.172773620631518, 0.006340123469760614, 0.3448371729855217, -0.014502420853788672, -0.04231536194140008, 0.02878400350837454, 0.2934636655975995, 0.07894143896914128, 0.13485443076369033, -0.23009714954567434, 0.09333418440351736, 0.037431545583392255] |
709.1423 | Exotic Ground State Phases of $S=1/2$ Heisenberg $\Delta$-Chain with
Ferromagnetic Main Chain | The ground state phase diagram of the spin-1/2 Heisenberg frustrated
$\Delta$-chain with a ferromagnetic main chain is investigated. In addition to
the ferromagnetic phase, various nonmagnetic ground states are found. If the
ferromagnetic coupling between apical spins and the main chain is strong, this
model is approximated by a spin-1 bilinear-biquadratic chain and the spin
quadrupolar phase with spin-2 gapless excitation is realized in addition to the
Haldane and ferromagnetic phases. In the regime where the coupling between the
apical spins and the main chain is weak, the numerical results which suggest
the possibility of a series of phase transitions among different nonmagnetic
phases are obtained. Physical pictures of these phases are discussed based on
the numerical results.
| cond-mat.str-el cond-mat.stat-mech | the ground state phase diagram of the spin12 heisenberg frustrated deltachain with a ferromagnetic main chain is investigated in addition to the ferromagnetic phase various nonmagnetic ground states are found if the ferromagnetic coupling between apical spins and the main chain is strong this model is approximated by a spin1 bilinearbiquadratic chain and the spin quadrupolar phase with spin2 gapless excitation is realized in addition to the haldane and ferromagnetic phases in the regime where the coupling between the apical spins and the main chain is weak the numerical results which suggest the possibility of a series of phase transitions among different nonmagnetic phases are obtained physical pictures of these phases are discussed based on the numerical results | [['the', 'ground', 'state', 'phase', 'diagram', 'of', 'the', 'spin12', 'heisenberg', 'frustrated', 'deltachain', 'with', 'a', 'ferromagnetic', 'main', 'chain', 'is', 'investigated', 'in', 'addition', 'to', 'the', 'ferromagnetic', 'phase', 'various', 'nonmagnetic', 'ground', 'states', 'are', 'found', 'if', 'the', 'ferromagnetic', 'coupling', 'between', 'apical', 'spins', 'and', 'the', 'main', 'chain', 'is', 'strong', 'this', 'model', 'is', 'approximated', 'by', 'a', 'spin1', 'bilinearbiquadratic', 'chain', 'and', 'the', 'spin', 'quadrupolar', 'phase', 'with', 'spin2', 'gapless', 'excitation', 'is', 'realized', 'in', 'addition', 'to', 'the', 'haldane', 'and', 'ferromagnetic', 'phases', 'in', 'the', 'regime', 'where', 'the', 'coupling', 'between', 'the', 'apical', 'spins', 'and', 'the', 'main', 'chain', 'is', 'weak', 'the', 'numerical', 'results', 'which', 'suggest', 'the', 'possibility', 'of', 'a', 'series', 'of', 'phase', 'transitions', 'among', 'different', 'nonmagnetic', 'phases', 'are', 'obtained', 'physical', 'pictures', 'of', 'these', 'phases', 'are', 'discussed', 'based', 'on', 'the', 'numerical', 'results']] | [-0.20719246546958842, 0.27855346570485984, 0.03001062478080897, 0.030727468399425684, -0.016568210396236915, -0.16433792013154067, 0.03793817710218225, 0.3941839692514327, -0.23201914935893678, -0.23835678813560723, 0.055184082797988934, -0.32564923838096654, -0.09261893518900467, 0.13169448734931963, 0.11303834484542831, -0.023108638045614808, -0.002414084473719536, 0.004554065686287516, -0.11849044264941397, -0.20358868641581512, 0.2894652057752325, -0.04992435908860574, 0.29281016425782086, 0.0491002447926834, 0.030226853297297226, 0.003241848232129873, 0.17391946956010187, -0.028454388034040646, -0.15735235646311826, 0.03663039473585895, 0.22567602140450124, -0.11169119732122931, 0.12927329342543953, -0.4201678364869144, -0.16005244710624722, 0.06007167292064277, 0.1504155405682622, 0.17753902889326437, -0.03243150343127959, -0.3861099732566183, 0.0005664786070356366, -0.17131190234005955, -0.10526642759362141, -0.10578293115752986, -0.0566773909515054, 0.02374792340906116, -0.25539467627403595, 0.11213454380789298, 0.11343170946534975, 0.08692748677893147, -0.06974126822788711, -0.12445126991655867, -0.11336108805884024, 0.11482690745901505, 0.07802313816895456, 0.061791409322029076, 0.059549172610139194, -0.0785170056387561, -0.14605778155816815, 0.346135564637765, -0.025226652006602894, -0.12294768581514136, 0.21375725276460397, -0.1774426265209035, -0.10918416060463888, 0.1208345609464509, 0.040862924277277314, 0.07201928105323686, -0.14182600338738097, 0.07604221466699836, -0.0009725141571834683, 0.20249296862126911, -0.07129944417373103, 0.03489432441291668, 0.27646614401995884, 0.20114125743887182, 0.012752240673654665, 0.24286369425718182, -0.11944426146485859, -0.20253686728034864, -0.24433763887164955, -0.1601374204570459, -0.26516034780070186, -0.02358568106162346, -0.090743599226205, -0.16024988123979833, 0.4024079596481712, 0.14204122958771054, 0.15388342915339617, -0.07313077337151962, 0.23986595827233742, 0.07777742101510955, -0.013251587353899317, 0.00998563256501457, 0.2875138650790362, 0.23105975560315142, 0.058006925993772634, -0.29752047409271914, 0.04653348548779801, 0.08023959724824496] |
709.1424 | Gauss sum factorization with cold atoms | We report the first implementation of a Gauss sum factorization algorithm by
an internal state Ramsey interferometer using cold atoms. A sequence of
appropriately designed light pulses interacts with an ensemble of cold rubidium
atoms. The final population in the involved atomic levels determines a Gauss
sum. With this technique we factor the number N=263193.
| quant-ph | we report the first implementation of a gauss sum factorization algorithm by an internal state ramsey interferometer using cold atoms a sequence of appropriately designed light pulses interacts with an ensemble of cold rubidium atoms the final population in the involved atomic levels determines a gauss sum with this technique we factor the number n263193 | [['we', 'report', 'the', 'first', 'implementation', 'of', 'a', 'gauss', 'sum', 'factorization', 'algorithm', 'by', 'an', 'internal', 'state', 'ramsey', 'interferometer', 'using', 'cold', 'atoms', 'a', 'sequence', 'of', 'appropriately', 'designed', 'light', 'pulses', 'interacts', 'with', 'an', 'ensemble', 'of', 'cold', 'rubidium', 'atoms', 'the', 'final', 'population', 'in', 'the', 'involved', 'atomic', 'levels', 'determines', 'a', 'gauss', 'sum', 'with', 'this', 'technique', 'we', 'factor', 'the', 'number', 'n263193']] | [-0.14851625918634925, 0.21876222958100563, -0.05718278955599224, -0.012610231295521199, 0.022961043252575176, -0.07802017855768402, 0.10206039653685703, 0.43359026057576694, -0.2621503860724193, -0.3218616031938129, -0.018280588497873396, -0.23362010986440712, -0.05070527642965317, 0.13355847741735893, 0.005803819633675394, 0.03273415664874914, 0.08322955116077706, 0.034699577182807306, -0.00910382086618079, -0.24740400386077385, 0.3158479957254948, 0.08552310379497984, 0.2354346968371559, -0.039798860541648336, 0.1750343821218444, 0.0006066500532647802, 0.026392878981790057, -0.06907702247500075, -0.06887168509678708, 0.1423108011001238, 0.16304248921504175, 0.12926901099099605, 0.2895127881395941, -0.4429310379825808, -0.14009965049033915, 0.11274092613408963, 0.14673105164655242, 0.15760145184618454, -0.0525329583928127, -0.29361485608818905, -0.07804407782990623, -0.15378820358697945, -0.14010910949393832, -0.08015671375862977, -0.036137228981479655, 0.06909462027424187, -0.26061057984070096, 0.005826115452994903, 0.005198008126441251, 0.06008193328010815, -0.01331047486099932, -0.13437181180429267, 0.11099285703083431, 0.03245786836163865, -0.07817602811674415, 0.03768860036076081, 0.1735972366295755, -0.10230999605954383, -0.08953207475995575, 0.3970943973572166, -0.17153028850616128, -0.1143007044835637, 0.09278914337563846, -0.11218508284676958, -0.09788661398407486, 0.15483441127947084, 0.11090988188085181, 0.14684793414737754, -0.1142930770120411, 0.010584030490092657, -0.08881799150603237, 0.27476229475966346, 0.1489591518658455, 0.05808839320498346, 0.2285146063918041, 0.20221411009077672, 0.04821009789183908, 0.2141196430074396, -0.10443648373432181, -0.06678866090132268, -0.28403031129252027, -0.16386229985531559, -0.21419320559060132, 0.0709934578863559, -0.06494556684736852, -0.12623388105486003, 0.3704350646757693, 0.06706390167689985, 0.17637947772595067, -0.018738120156167833, 0.3686749113516675, 0.127939679875487, 0.023897937671453866, 0.05007650604885486, 0.16629185597412288, 0.21730028640013188, 0.019107032481029077, -0.28468406234902366, -0.025708925832683843, 0.08003865456622508] |
709.1425 | A higher order model for image restoration: the one dimensional case | The one-dimensional version of the higher order total variation-based model
for image restoration proposed by Chan, Marquina, and Mulet in [4] is analyzed.
A suitable functional framework in which the minimization problem is well posed
is being proposed and it is proved analytically that the higher order
regularizing term prevents the occurrence of the staircase effect.
| math.OC | the onedimensional version of the higher order total variationbased model for image restoration proposed by chan marquina and mulet in 4 is analyzed a suitable functional framework in which the minimization problem is well posed is being proposed and it is proved analytically that the higher order regularizing term prevents the occurrence of the staircase effect | [['the', 'onedimensional', 'version', 'of', 'the', 'higher', 'order', 'total', 'variationbased', 'model', 'for', 'image', 'restoration', 'proposed', 'by', 'chan', 'marquina', 'and', 'mulet', 'in', '4', 'is', 'analyzed', 'a', 'suitable', 'functional', 'framework', 'in', 'which', 'the', 'minimization', 'problem', 'is', 'well', 'posed', 'is', 'being', 'proposed', 'and', 'it', 'is', 'proved', 'analytically', 'that', 'the', 'higher', 'order', 'regularizing', 'term', 'prevents', 'the', 'occurrence', 'of', 'the', 'staircase', 'effect']] | [-0.10099488598967178, 0.03617191566499295, -0.046174914852060656, 0.10721537831273896, -0.046358859373463526, -0.10513833247090655, 0.001511882964728607, 0.30945455462292387, -0.25848502429909315, -0.34131215824918065, 0.1513422842491073, -0.26025893429458075, -0.20985981891000713, 0.1231226582011139, -0.08503472661875465, 0.10919115851046862, -0.0022317558501122724, 0.03640244359633437, -0.0410130955580691, -0.3120543218769685, 0.29670983040705323, 0.07276331426368819, 0.30179162545741917, 0.10374830489012378, 0.1323273587902939, 0.029731503498085118, -0.0005221395695116371, 0.036461722666259716, -0.0760770971997031, 0.08544963813619688, 0.19145341545205424, 0.08124041909144984, 0.31589225169995594, -0.37472360781221475, -0.25874955188138066, 0.07674148633938145, 0.11070987737427156, 0.10189282648153258, -0.0377581123676565, -0.2701712220700251, 0.15674860007991945, -0.1853450578637421, -0.10338860870063028, -0.0837695420616203, 0.020580000778729166, -0.040692677491784304, -0.2998336621180729, 0.11626266997309695, 0.10603880178812822, 0.006797587671489628, -0.0855401639516155, -0.09821947736458646, -0.016238859440717433, 0.07154760086322548, 0.047735960507553604, 0.08133976393879426, 0.04609677051538946, -0.11574715753603312, -0.07186483821176269, 0.4006704497323544, -0.05857803778188234, -0.2173799491935858, 0.12426271127467906, -0.09262180242997904, -0.07633835883138494, 0.12946019535539327, 0.09695221080134313, 0.1505982539685512, -0.14647535583073343, 0.08973563544848864, -0.053810551296919584, 0.1244224190633287, 0.0699207010437493, -0.02388163003208185, 0.09543658565315935, 0.185512022787912, 0.11294619730432276, 0.19759701944335742, -0.10369025051800741, -0.11246710920844365, -0.2581633529453366, -0.127791167271358, -0.20197464723605663, -0.0354137499558015, -0.06138858439657337, -0.10330469783878436, 0.39432790502905846, 0.12553871314351758, 0.17597534761039746, 0.04037890188542574, 0.2990369968875139, 0.23789098213806195, 0.08243426125220678, 0.048601292401414226, 0.1780551302039789, 0.1364971202737824, 0.08377633856488736, -0.24506138682503392, 0.0809667829113702, 0.15152174082619171] |
709.1426 | Non-supersymmetric Tachyon-free Type-II and Type-I Closed Strings from
RCFT | We consider non-supersymmetric four-dimensional closed string theories
constructed out of tensor products of N=2 minimal models. Generically such
theories have closed string tachyons, but these may be removed either by
choosing a non-trivial partition function or a suitable Klein bottle
projection. We find large numbers of examples of both types.
| hep-th | we consider nonsupersymmetric fourdimensional closed string theories constructed out of tensor products of n2 minimal models generically such theories have closed string tachyons but these may be removed either by choosing a nontrivial partition function or a suitable klein bottle projection we find large numbers of examples of both types | [['we', 'consider', 'nonsupersymmetric', 'fourdimensional', 'closed', 'string', 'theories', 'constructed', 'out', 'of', 'tensor', 'products', 'of', 'n2', 'minimal', 'models', 'generically', 'such', 'theories', 'have', 'closed', 'string', 'tachyons', 'but', 'these', 'may', 'be', 'removed', 'either', 'by', 'choosing', 'a', 'nontrivial', 'partition', 'function', 'or', 'a', 'suitable', 'klein', 'bottle', 'projection', 'we', 'find', 'large', 'numbers', 'of', 'examples', 'of', 'both', 'types']] | [-0.1833601347869262, 0.22044786341954023, -0.024400267470628022, 0.15662715520709752, -0.06593105871230363, -0.23768385661765934, 0.00687175746075809, 0.30461403434164824, -0.2080370233207941, -0.26045331384986636, 0.0868918921239674, -0.25609585985541344, -0.17884835367556662, 0.13973205675836653, -0.06420818793587386, 0.018520092551516428, 0.03522113204933703, 0.05747442942112684, -0.11595319094136357, -0.3025357496412471, 0.36088586881756785, -0.08161564642563462, 0.22749447889626026, 0.034360318314284086, 0.0853978867130354, -0.030644706189632415, -0.02178810773883015, 0.09270049104001372, -0.1575719066336751, 0.06633025242947042, 0.24127962462931463, 0.15920057570561766, 0.13679810144007207, -0.5263129857182502, -0.24981330785900355, 0.18707918322645128, 0.17259078899398447, 0.13718590937554836, -0.02930671469308436, -0.2238520346675068, 0.06477227592375129, -0.1908679710328579, -0.17786827123723925, -0.1424263450037688, 0.006318382588215172, -0.07529258074704558, -0.20342659008223563, -0.00948902872391045, 0.012532352143898607, 0.04971463436726481, -0.028047502473928034, -0.09087316382676364, -0.07173580062575638, 0.06504803254734724, 0.09512174580944702, 0.021068871985189617, 0.11059398145414889, -0.18113933850079775, -0.14940460979938508, 0.34699861575849356, -0.06415636602323502, -0.3043747990578413, 0.14982967585790902, -0.08710157887078822, -0.1606537590920925, 0.1023486127331853, 0.07268019665963948, 0.1996360120549798, -0.07880175712052732, 0.22074858143925666, -0.0930181404389441, 0.06425722388550639, 0.1710179846547544, 0.009304738957434893, 0.3057993584498763, 0.016545235347002744, 0.023106619524769487, 0.16899055106332525, 0.032384766908362506, -0.090431933933869, -0.4085861213505268, -0.12940759679302574, -0.10676123429089784, 0.18551893428899346, -0.1338802670314908, -0.2664471190981567, 0.33959715489298103, -0.010124461443629116, 0.17907300253515132, 0.04178567050024867, 0.2067929385602474, 0.11364505203557201, 0.13156760584563018, 0.04288013592362404, 0.15476246719248593, 0.06873505073599517, -0.06038507904857397, -0.15366147984866985, -0.13452058997936547, 0.1658678947016597] |
709.1427 | Computing Knot Floer Homology in Cyclic Branched Covers | We use grid diagrams to give a combinatorial algorithm for computing the knot
Floer homology of the pullback of a knot K in its m-fold cyclic branched cover
Sigma^m(K), and we give computations when m=2 for over fifty three-bridge knots
with up to eleven crossings.
| math.GT math.SG | we use grid diagrams to give a combinatorial algorithm for computing the knot floer homology of the pullback of a knot k in its mfold cyclic branched cover sigmamk and we give computations when m2 for over fifty threebridge knots with up to eleven crossings | [['we', 'use', 'grid', 'diagrams', 'to', 'give', 'a', 'combinatorial', 'algorithm', 'for', 'computing', 'the', 'knot', 'floer', 'homology', 'of', 'the', 'pullback', 'of', 'a', 'knot', 'k', 'in', 'its', 'mfold', 'cyclic', 'branched', 'cover', 'sigmamk', 'and', 'we', 'give', 'computations', 'when', 'm2', 'for', 'over', 'fifty', 'threebridge', 'knots', 'with', 'up', 'to', 'eleven', 'crossings']] | [-0.2559659562962638, 0.03221851377747953, -0.1137350157157264, 0.0653236696750603, -0.08847751349888065, -0.18773045916829936, 0.09623671511706727, 0.3792199449275028, -0.29940993508154695, -0.3561805657703768, 0.10141372201013094, -0.209921809760007, -0.15713871462503448, 0.18666075282883618, -0.13319422482428225, -0.03560056804218965, 0.08685849814421752, 0.07134675767950037, -0.0896322916879316, -0.3113317344104871, 0.2806838301687755, -0.05247944883409549, 0.045541719263631174, 0.0932933895224282, 0.08857352667572824, -0.03285271959082985, -0.05664591820360246, -0.031423688104206864, -0.28016265310262417, 0.10459433717187494, 0.3000871842324903, 0.04963126873322339, 0.05706176593561064, -0.3744687879966064, -0.08737675962038338, 0.1742391323416748, 0.19004398053088647, 0.006295343194241551, 0.03716125011190095, -0.18943643722344528, 0.10446928844744847, -0.18901488921520385, -0.13489402407272297, -0.09323877879333767, 0.08316897027279166, 0.05516414022581144, -0.12972149798985233, -0.0823904519466768, -0.018569328155453233, 0.15499454114416783, 0.057034107007149774, -0.12639471736805385, 0.005001595518975096, 0.14722720500603, -0.010023380635175272, 0.07573700021021068, 0.07443648534932766, -0.13902018786492673, -0.19278782038864764, 0.3986415636133064, -0.05668788677377796, -0.17980189332262275, 0.08195248220793226, -0.11110883948012171, -0.2390147453724322, 0.3379538038491525, 0.025600739077410915, 0.12459248976400969, 0.012105995771641821, 0.11237119002643423, -0.10813895765353333, 0.054474977384829384, 0.12494648603553121, -0.06929610076953065, 0.14550759236920963, 0.08494204089617018, 0.16304828046651726, 0.2323580871082165, -0.08833142132921652, -0.09267981126322411, -0.27908659171821043, -0.2528520142447881, -0.06412305009805343, 0.14364259261426263, -0.15580528577629593, -0.23694829210977664, 0.4657797698270191, 0.019880146825347434, 0.15763211339402583, 0.19062946016095916, 0.2882686453786763, -0.01859190753153102, 0.08993626383810559, 0.12460145262196999, 0.06433640081774104, 0.21486870114776221, -0.0023904551926534623, -0.0948249827858738, -0.10867758910700848, 0.25406516467707907] |
709.1428 | Fluctuations in Statistical Models | The multiplicity fluctuations of hadrons are studied within the statistical
hadron-resonance gas model in the large volume limit. The role of quantum
statistics and resonance decay effects are discussed. The microscopic
correlator method is used to enforce conservation of three charges -- baryon
number, electric charge, and strangeness -- in the canonical ensemble. In
addition, in the micro-canonical ensemble energy conservation is included. An
analytical method is used to account for resonance decays. The multiplicity
distributions and the scaled variances for negatively and positively charged
hadrons are calculated for the sets of thermodynamical parameters along the
chemical freeze-out line of central Pb+Pb (Au+Au) collisions from SIS to LHC
energies. Predictions obtained within different statistical ensembles are
compared with the preliminary NA49 experimental results on central Pb+Pb
collisions in the SPS energy range. The measured fluctuations are significantly
narrower than the Poisson ones and clearly favor expectations for the
micro-canonical ensemble. Thus, this is a first observation of the recently
predicted suppression of the multiplicity fluctuations in relativistic gases in
the thermodynamical limit due to conservation laws.
| nucl-th | the multiplicity fluctuations of hadrons are studied within the statistical hadronresonance gas model in the large volume limit the role of quantum statistics and resonance decay effects are discussed the microscopic correlator method is used to enforce conservation of three charges baryon number electric charge and strangeness in the canonical ensemble in addition in the microcanonical ensemble energy conservation is included an analytical method is used to account for resonance decays the multiplicity distributions and the scaled variances for negatively and positively charged hadrons are calculated for the sets of thermodynamical parameters along the chemical freezeout line of central pbpb auau collisions from sis to lhc energies predictions obtained within different statistical ensembles are compared with the preliminary na49 experimental results on central pbpb collisions in the sps energy range the measured fluctuations are significantly narrower than the poisson ones and clearly favor expectations for the microcanonical ensemble thus this is a first observation of the recently predicted suppression of the multiplicity fluctuations in relativistic gases in the thermodynamical limit due to conservation laws | [['the', 'multiplicity', 'fluctuations', 'of', 'hadrons', 'are', 'studied', 'within', 'the', 'statistical', 'hadronresonance', 'gas', 'model', 'in', 'the', 'large', 'volume', 'limit', 'the', 'role', 'of', 'quantum', 'statistics', 'and', 'resonance', 'decay', 'effects', 'are', 'discussed', 'the', 'microscopic', 'correlator', 'method', 'is', 'used', 'to', 'enforce', 'conservation', 'of', 'three', 'charges', 'baryon', 'number', 'electric', 'charge', 'and', 'strangeness', 'in', 'the', 'canonical', 'ensemble', 'in', 'addition', 'in', 'the', 'microcanonical', 'ensemble', 'energy', 'conservation', 'is', 'included', 'an', 'analytical', 'method', 'is', 'used', 'to', 'account', 'for', 'resonance', 'decays', 'the', 'multiplicity', 'distributions', 'and', 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'laws']] | [-0.06685326605849236, 0.20611676871022222, -0.12865179591416115, 0.1593718154686396, 0.0670804061348839, -0.0833570597018918, -0.04079931371794457, 0.3009822507731445, -0.17036674450949135, -0.2905919271034199, -0.044687000291298906, -0.36357403683593903, 0.06353787334646559, 0.1377280645257119, 0.031614361579754745, 0.10926771427547538, 0.08483897144478028, 0.024645537558819926, -0.04033201902732788, -0.1802374215063307, 0.304825291705944, 0.13385390230633812, 0.3059513804037124, 0.11716863115842657, 0.02097446181886326, 0.006728878105594509, -0.019301470347690856, 0.061965427623697736, -0.12829121923737827, 0.07030280965852723, 0.2334108439022568, 0.031198167567938865, 0.16574843543121356, -0.38743875593203925, -0.18452512828804468, 0.15456479015471092, 0.1599541370142733, 0.1313290625446658, -0.054601295988327, -0.26079501915219955, 0.07714771985030537, -0.1966256237864473, -0.1647337378275677, -0.08944332565785781, -0.00634029833599925, 0.07725147937221089, 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709.1429 | The 191 orientable octahedral manifolds | We enumerate all spaces obtained by gluing in pairs the faces of the
octahedron in an orientation-reversing fashion. Whenever such a gluing gives
rise to non-manifold points, we remove small open neighbourhoods of these
points, so we actually deal with three-dimensional manifolds with (possibly
empty) boundary.
There are 298 combinatorially inequivalent gluing patterns, and we show that
they define 191 distinct manifolds, of which 132 are hyperbolic and 59 are not.
All the 132 hyperbolic manifolds were already considered in different contexts
by other authors, and we provide here their known ``names'' together with their
main invariants. We also give the connected sum and JSJ decompositions for the
59 non-hyperbolic examples.
Our arguments make use of tools coming from hyperbolic geometry, together
with quantum invariants and more classical techniques based on essential
surfaces. Many (but not all) proofs were carried out by computer, but they do
not involve issues of numerical accuracy.
| math.GT | we enumerate all spaces obtained by gluing in pairs the faces of the octahedron in an orientationreversing fashion whenever such a gluing gives rise to nonmanifold points we remove small open neighbourhoods of these points so we actually deal with threedimensional manifolds with possibly empty boundary there are 298 combinatorially inequivalent gluing patterns and we show that they define 191 distinct manifolds of which 132 are hyperbolic and 59 are not all the 132 hyperbolic manifolds were already considered in different contexts by other authors and we provide here their known names together with their main invariants we also give the connected sum and jsj decompositions for the 59 nonhyperbolic examples our arguments make use of tools coming from hyperbolic geometry together with quantum invariants and more classical techniques based on essential surfaces many but not all proofs were carried out by computer but they do not involve issues of numerical accuracy | [['we', 'enumerate', 'all', 'spaces', 'obtained', 'by', 'gluing', 'in', 'pairs', 'the', 'faces', 'of', 'the', 'octahedron', 'in', 'an', 'orientationreversing', 'fashion', 'whenever', 'such', 'a', 'gluing', 'gives', 'rise', 'to', 'nonmanifold', 'points', 'we', 'remove', 'small', 'open', 'neighbourhoods', 'of', 'these', 'points', 'so', 'we', 'actually', 'deal', 'with', 'threedimensional', 'manifolds', 'with', 'possibly', 'empty', 'boundary', 'there', 'are', '298', 'combinatorially', 'inequivalent', 'gluing', 'patterns', 'and', 'we', 'show', 'that', 'they', 'define', '191', 'distinct', 'manifolds', 'of', 'which', '132', 'are', 'hyperbolic', 'and', '59', 'are', 'not', 'all', 'the', '132', 'hyperbolic', 'manifolds', 'were', 'already', 'considered', 'in', 'different', 'contexts', 'by', 'other', 'authors', 'and', 'we', 'provide', 'here', 'their', 'known', 'names', 'together', 'with', 'their', 'main', 'invariants', 'we', 'also', 'give', 'the', 'connected', 'sum', 'and', 'jsj', 'decompositions', 'for', 'the', '59', 'nonhyperbolic', 'examples', 'our', 'arguments', 'make', 'use', 'of', 'tools', 'coming', 'from', 'hyperbolic', 'geometry', 'together', 'with', 'quantum', 'invariants', 'and', 'more', 'classical', 'techniques', 'based', 'on', 'essential', 'surfaces', 'many', 'but', 'not', 'all', 'proofs', 'were', 'carried', 'out', 'by', 'computer', 'but', 'they', 'do', 'not', 'involve', 'issues', 'of', 'numerical', 'accuracy']] | [-0.13497351521456089, 0.11217488927889606, -0.07367681631034143, 0.08762885852545303, -0.09896106863284092, -0.1636774253718996, 0.03453823817912244, 0.39497434148123783, -0.252381878788583, -0.3127970246193734, 0.1339434094491145, -0.3225512060361277, -0.17033765072885312, 0.2247742977993575, -0.14587598126749263, 0.020512774372228273, 0.08647451726995457, 0.003930740152052175, -0.07568877647741158, -0.31646027928218246, 0.37697374237407194, -0.0692743444976115, 0.20692901003578873, 0.04907460453059206, 0.07861260394259405, -0.046911917115243056, -0.08185937581277501, 0.06407161085792866, -0.169488750994261, 0.12792404585879444, 0.30133242356149775, 0.0773134529212927, 0.16961339342953197, -0.44642519366951955, -0.1457809014774332, 0.1148992915136899, 0.1515449045155516, 0.08830299346606664, -0.035154770707154774, -0.2808096710604763, 0.09907358882054196, -0.09775714549285017, -0.14577022239896714, -0.1373401058617195, -0.009716711049948475, 0.05585637120958908, -0.14173378747593807, -0.002454892347151671, 0.1014287640879813, 0.0994353665676164, -0.047810144473164416, -0.14692647371588177, -0.06821329853540335, 0.1599019969887051, 0.023276301262452954, -0.00974528762009485, 0.0687081535242645, -0.02603609547766514, -0.13782185064873806, 0.370510817318542, 0.04317177300637061, -0.2588196999368895, 0.24755152984748988, -0.11586910354258419, -0.1817241876790496, 0.15341400856069462, 0.08214564652084128, 0.12568227401444396, -0.11499778756038531, 0.0855023980084776, -0.05878644240453325, 0.0963484495533569, 0.14163198136712277, 0.020670836023974085, 0.1831557175181316, 0.03668395874065984, 0.08259817821970883, 0.11401743817757386, -0.004602625227753857, -0.08636742842339261, -0.312927179259101, -0.14008925874153838, -0.11032516019660857, 0.09076959671217896, -0.08655424512213167, -0.19454889886056712, 0.3371458993244328, 0.08287319830905242, 0.2184271665855225, 0.07156912186857019, 0.2211269693691161, 0.013469876116830978, 0.0894327052887284, 0.11708457558951953, 0.19159238546011406, 0.1132561607657025, 0.02428838934161161, -0.08282151848528117, -0.018220198610307353, 0.12209566426769781] |
709.143 | Difference of composition operators in the Polydiscs | This paper gives some simple estimates of the essential norm for the
difference of composition operators induced by $\phi$ and $\psi$ acting on
bounded function space in the unit polydiscs $U^n$, where $\phi(z)$ and
$\psi(z)$be holomorphic self-maps of $U^n$. As its applications, a
characterization of compact difference is given for composition operators
acting on the bounded function spaces.
| math.FA | this paper gives some simple estimates of the essential norm for the difference of composition operators induced by phi and psi acting on bounded function space in the unit polydiscs un where phiz and psizbe holomorphic selfmaps of un as its applications a characterization of compact difference is given for composition operators acting on the bounded function spaces | [['this', 'paper', 'gives', 'some', 'simple', 'estimates', 'of', 'the', 'essential', 'norm', 'for', 'the', 'difference', 'of', 'composition', 'operators', 'induced', 'by', 'phi', 'and', 'psi', 'acting', 'on', 'bounded', 'function', 'space', 'in', 'the', 'unit', 'polydiscs', 'un', 'where', 'phiz', 'and', 'psizbe', 'holomorphic', 'selfmaps', 'of', 'un', 'as', 'its', 'applications', 'a', 'characterization', 'of', 'compact', 'difference', 'is', 'given', 'for', 'composition', 'operators', 'acting', 'on', 'the', 'bounded', 'function', 'spaces']] | [-0.14296100713443338, 0.14387681109732703, -0.04999597562250289, 0.041943930702185946, -0.07106526619182867, -0.007177045650518777, -0.019571388481397247, 0.3234769985602613, -0.28973248264376533, -0.2028925910984215, 0.12177930926503777, -0.2896086675392693, -0.16871205756538793, 0.22992018639649214, -0.10531253496740471, 0.04221714535327792, -0.03010285502757158, 0.10960244815469834, -0.161317971584044, -0.2194459938950706, 0.4500298583716677, -0.04565881687755648, 0.15363424485794416, 0.09555231327223673, 0.14166755949784265, 0.060708127817825266, -0.030535542414311254, -0.07754708025165376, -0.14967592227223672, 0.17474766198153557, 0.20898009266442896, 0.10391082524795804, 0.25255935452878475, -0.385804788095125, -0.15656106089233635, 0.21959344619525628, 0.1006128550915603, -0.14570362156812558, -0.0864111386411088, -0.2727848095982744, 0.03721845209631219, -0.11241658136510012, -0.13389389734028986, -0.05343286789496217, 0.06995225357904769, 0.0453239128344872, -0.3296934953122808, 0.03349605713676857, 0.12675449595247446, 0.09889502120776135, -0.13578827656486905, -0.12143133587220259, -0.07697244602860066, 0.15548484198945134, -0.07080619300617591, 0.15541608442078558, 0.15069204585201906, -0.05991077406348236, -0.04497936780548148, 0.34441239687434416, -0.1405100979303059, -0.31317570148722124, 0.11829954197042082, -0.19431705724064, -0.1289132872694417, 0.023814625025056955, 0.1704846025983754, 0.17615499602336632, -0.04695746196401224, 0.25816036618453564, -0.05531419374114066, 0.1185912273726181, 0.10840964428426926, 0.07069401320870639, 0.10149819178408698, 0.11027653541481286, 0.17848511523538546, 0.11438463475522503, 0.06855295295418616, -0.05249201279570626, -0.40259607306175066, -0.19038214282492144, -0.1688392807876593, 0.06359582095357932, -0.08915239258765309, -0.2502790628033772, 0.36796529472625833, -0.023897868041929445, 0.23027179968796604, 0.08744747916301876, 0.20146075654121345, 0.12350108736938094, 0.06417101916546623, 0.005197110961665187, 0.08834873801842741, 0.20434271849348748, 0.04140724161672488, -0.18316127543680763, 0.03179515625366516, 0.19241898964524776] |
709.1431 | Essential Norms of Weighted Composition Operators between Hardy Spaces
in the unit Ball | Let $\phi(z)=(\phi_1(z),...,\phi_n(z))$ be a holomorphic self-map of $B_n$
and $\psi(z)$ a holomorphic function on $B_n$, and $H(B_n)$ the class of all
holomorphic functions on $B_n$, where $B_n$ is the unit ball of $C^n$, the
weight composition operator $W_{\psi,\phi}$ is defined by $W_{\psi,\phi}=\psi
f(\phi)$ for $f\in H(B_n)$. In this paper we estimate the essential norm for
the weighted composition operator $W_{\psi,\phi}$ acting from the Hardy space
$H^p$ to $H^q$ ($0<p,q\leq \infty$). When $p=\infty$ and $q=2$, we give an
exact formula for the essential norm. As their applications, we also obtain
some sufficient and necessary conditions for the bounded weighted composition
operator to be compact from $H^p$ to $H^q$.
| math.FA math.CV | let phizphi_1zphi_nz be a holomorphic selfmap of b_n and psiz a holomorphic function on b_n and hb_n the class of all holomorphic functions on b_n where b_n is the unit ball of cn the weight composition operator w_psiphi is defined by w_psiphipsi fphi for fin hb_n in this paper we estimate the essential norm for the weighted composition operator w_psiphi acting from the hardy space hp to hq 0pqleq infty when pinfty and q2 we give an exact formula for the essential norm as their applications we also obtain some sufficient and necessary conditions for the bounded weighted composition operator to be compact from hp to hq | [['let', 'phizphi_1zphi_nz', 'be', 'a', 'holomorphic', 'selfmap', 'of', 'b_n', 'and', 'psiz', 'a', 'holomorphic', 'function', 'on', 'b_n', 'and', 'hb_n', 'the', 'class', 'of', 'all', 'holomorphic', 'functions', 'on', 'b_n', 'where', 'b_n', 'is', 'the', 'unit', 'ball', 'of', 'cn', 'the', 'weight', 'composition', 'operator', 'w_psiphi', 'is', 'defined', 'by', 'w_psiphipsi', 'fphi', 'for', 'fin', 'hb_n', 'in', 'this', 'paper', 'we', 'estimate', 'the', 'essential', 'norm', 'for', 'the', 'weighted', 'composition', 'operator', 'w_psiphi', 'acting', 'from', 'the', 'hardy', 'space', 'hp', 'to', 'hq', '0pqleq', 'infty', 'when', 'pinfty', 'and', 'q2', 'we', 'give', 'an', 'exact', 'formula', 'for', 'the', 'essential', 'norm', 'as', 'their', 'applications', 'we', 'also', 'obtain', 'some', 'sufficient', 'and', 'necessary', 'conditions', 'for', 'the', 'bounded', 'weighted', 'composition', 'operator', 'to', 'be', 'compact', 'from', 'hp', 'to', 'hq']] | [-0.09329040566441214, 0.11813778702061718, -0.053132323512595, 0.08035724161269632, -0.08398739445403001, -0.09616717349882554, -0.0045955928768148845, 0.3717206195358512, -0.32216671581190187, -0.12213598978389235, 0.10788305466700779, -0.2663220182440958, -0.12563359954799028, 0.20055398243723563, -0.08912389638643821, 0.06782754158908591, 0.017639121223801693, 0.11310507079080037, -0.10004253502826667, -0.21943257931728385, 0.38958976591385686, -0.029911841256815255, 0.12927267052124716, 0.10115150599152718, 0.04865735524234552, 0.004683611986851229, 0.029291159380679426, -0.09948973683894666, -0.2356739849557431, 0.11774030139724027, 0.24258218380143343, 0.11354140979825582, 0.263010817607051, -0.37966175205571556, -0.1285425537306526, 0.2564802974760894, 0.1626231328819345, -0.14939370252264356, -0.006507985567384698, -0.24432770939977858, 0.10708169172545082, -0.10216920247789725, -0.17508671265005052, -0.09905611872401776, 0.07513606835843868, 0.07987364331594876, -0.3999688954644122, 0.05338607462393165, 0.14519036440088331, 0.06596811217915954, -0.16331551477620468, -0.17181235900854022, -0.03550894414210348, 0.11387399880546688, -0.04648461656247094, 0.15621565005660637, 0.08740872554752288, -0.049813224000458435, -0.0285474680888566, 0.3427116861657321, -0.08392771399914495, -0.28367595095187426, 0.06225783769855077, -0.2274899902522962, -0.14045919747390215, 0.02344793861548787, 0.1226954268160484, 0.16056037034943374, -0.08222757333969286, 0.22011365446497153, -0.06788233105201745, 0.0838063747002698, 0.0880123172769124, 0.044530787118665364, 0.03646342547664654, 0.0592972412275928, 0.14425029176133639, 0.14604296330679029, 0.018216696839233708, -0.008004260064075583, -0.3961248183351697, -0.21214176969290757, -0.18560106724215833, 0.14660651212359227, -0.15364006332526417, -0.1886848253243178, 0.331474893586258, 0.020412297783763085, 0.22620154179302632, 0.10856865165592397, 0.18787908831665528, 0.13362685212406591, 0.09150654334095713, 0.04559877546486056, 0.0702970063461339, 0.21198370910331027, 0.06020413561570413, -0.1864830612756529, 0.006330104882984865, 0.24660526735985594] |
709.1432 | On the integrality of the Taylor coefficients of mirror maps | We show that the Taylor coefficients of the series ${\bf q}(z)=z\exp({\bf
G}(z)/{\bf F}(z))$ are integers, where ${\bf F}(z)$ and ${\bf G}(z)+\log(z)
{\bf F}(z)$ are specific solutions of certain hypergeometric differential
equations with maximal unipotent monodromy at $z=0$. We also address the
question of finding the largest integer $u$ such that the Taylor coefficients
of $(z ^{-1}{\bf q}(z))^{1/u}$ are still integers. As consequences, we are able
to prove numerous integrality results for the Taylor coefficients of mirror
maps of Calabi-Yau complete intersections in weighted projective spaces, which
improve and refine previous results by Lian and Yau, and by Zudilin. In
particular, we prove the general ``integrality'' conjecture of Zudilin about
these mirror maps. A further outcome of the present study is the determination
of the Dwork-Kontsevich sequence $(u_N)_{N\ge1}$, where $u_N$ is the largest
integer such that $q(z)^{1/u_N}$ is a series with integer coefficients, where
$q(z)=\exp(F(z)/G(z))$, $F(z)=\sum_{m=0} ^{\infty} (Nm)! z^m/m!^N$ and
$G(z)=\sum_{m=1} ^{\infty} (H_{Nm}-H_m)(Nm)! z^m/m!^N$, with $H_n$ denoting the
$n$-th harmonic number, conditional on the conjecture that there are no prime
number $p$ and integer $N$ such that the $p$-adic valuation of $H_N-1$ is
strictly greater than 3.
| math.NT hep-th math.AG | we show that the taylor coefficients of the series bf qzzexpbf gzbf fz are integers where bf fz and bf gzlogz bf fz are specific solutions of certain hypergeometric differential equations with maximal unipotent monodromy at z0 we also address the question of finding the largest integer u such that the taylor coefficients of z 1bf qz1u are still integers as consequences we are able to prove numerous integrality results for the taylor coefficients of mirror maps of calabiyau complete intersections in weighted projective spaces which improve and refine previous results by lian and yau and by zudilin in particular we prove the general integrality conjecture of zudilin about these mirror maps a further outcome of the present study is the determination of the dworkkontsevich sequence u_n_nge1 where u_n is the largest integer such that qz1u_n is a series with integer coefficients where qzexpfzgz fzsum_m0 infty nm zmmn and gzsum_m1 infty h_nmh_mnm zmmn with h_n denoting the nth harmonic number conditional on the conjecture that there are no prime number p and integer n such that the padic valuation of h_n1 is strictly greater than 3 | [['we', 'show', 'that', 'the', 'taylor', 'coefficients', 'of', 'the', 'series', 'bf', 'qzzexpbf', 'gzbf', 'fz', 'are', 'integers', 'where', 'bf', 'fz', 'and', 'bf', 'gzlogz', 'bf', 'fz', 'are', 'specific', 'solutions', 'of', 'certain', 'hypergeometric', 'differential', 'equations', 'with', 'maximal', 'unipotent', 'monodromy', 'at', 'z0', 'we', 'also', 'address', 'the', 'question', 'of', 'finding', 'the', 'largest', 'integer', 'u', 'such', 'that', 'the', 'taylor', 'coefficients', 'of', 'z', '1bf', 'qz1u', 'are', 'still', 'integers', 'as', 'consequences', 'we', 'are', 'able', 'to', 'prove', 'numerous', 'integrality', 'results', 'for', 'the', 'taylor', 'coefficients', 'of', 'mirror', 'maps', 'of', 'calabiyau', 'complete', 'intersections', 'in', 'weighted', 'projective', 'spaces', 'which', 'improve', 'and', 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-0.008593124612182212, 0.17553495376873132] |
709.1433 | The Rank-Width of Edge-Colored Graphs | Clique-width is a complexity measure of directed as well as undirected
graphs. Rank-width is an equivalent complexity measure for undirected graphs
and has good algorithmic and structural properties. It is in particular related
to the vertex-minor relation. We discuss an extension of the notion of
rank-width to edge-colored graphs. A C-colored graph is a graph where the arcs
are colored with colors from the set C. There is not a natural notion of
rank-width for C-colored graphs. We define two notions of rank-width for them,
both based on a coding of C-colored graphs by edge-colored graphs where each
edge has exactly one color from a field F and named respectively F-rank-width
and F-bi-rank-width. The two notions are equivalent to clique-width. We then
present a notion of vertex-minor for F-colored graphs and prove that F-colored
graphs of bounded F-rank-width are characterised by a finite list of F-colored
graphs to exclude as vertex-minors. A cubic-time algorithm to decide whether a
F-colored graph has F-rank-width (resp. F-bi-rank-width) at most k, for fixed
k, is also given. Graph operations to check MSOL-definable properties on
F-colored graphs of bounded rank-width are presented. A specialisation of all
these notions to (directed) graphs without edge colors is presented, which
shows that our results generalise the ones in undirected graphs.
| cs.DM math.CO | cliquewidth is a complexity measure of directed as well as undirected graphs rankwidth is an equivalent complexity measure for undirected graphs and has good algorithmic and structural properties it is in particular related to the vertexminor relation we discuss an extension of the notion of rankwidth to edgecolored graphs a ccolored graph is a graph where the arcs are colored with colors from the set c there is not a natural notion of rankwidth for ccolored graphs we define two notions of rankwidth for them both based on a coding of ccolored graphs by edgecolored graphs where each edge has exactly one color from a field f and named respectively frankwidth and fbirankwidth the two notions are equivalent to cliquewidth we then present a notion of vertexminor for fcolored graphs and prove that fcolored graphs of bounded frankwidth are characterised by a finite list of fcolored graphs to exclude as vertexminors a cubictime algorithm to decide whether a fcolored graph has frankwidth resp fbirankwidth at most k for fixed k is also given graph operations to check msoldefinable properties on fcolored graphs of bounded rankwidth are presented a specialisation of all these notions to directed graphs without edge colors is presented which shows that our results generalise the ones in undirected graphs | [['cliquewidth', 'is', 'a', 'complexity', 'measure', 'of', 'directed', 'as', 'well', 'as', 'undirected', 'graphs', 'rankwidth', 'is', 'an', 'equivalent', 'complexity', 'measure', 'for', 'undirected', 'graphs', 'and', 'has', 'good', 'algorithmic', 'and', 'structural', 'properties', 'it', 'is', 'in', 'particular', 'related', 'to', 'the', 'vertexminor', 'relation', 'we', 'discuss', 'an', 'extension', 'of', 'the', 'notion', 'of', 'rankwidth', 'to', 'edgecolored', 'graphs', 'a', 'ccolored', 'graph', 'is', 'a', 'graph', 'where', 'the', 'arcs', 'are', 'colored', 'with', 'colors', 'from', 'the', 'set', 'c', 'there', 'is', 'not', 'a', 'natural', 'notion', 'of', 'rankwidth', 'for', 'ccolored', 'graphs', 'we', 'define', 'two', 'notions', 'of', 'rankwidth', 'for', 'them', 'both', 'based', 'on', 'a', 'coding', 'of', 'ccolored', 'graphs', 'by', 'edgecolored', 'graphs', 'where', 'each', 'edge', 'has', 'exactly', 'one', 'color', 'from', 'a', 'field', 'f', 'and', 'named', 'respectively', 'frankwidth', 'and', 'fbirankwidth', 'the', 'two', 'notions', 'are', 'equivalent', 'to', 'cliquewidth', 'we', 'then', 'present', 'a', 'notion', 'of', 'vertexminor', 'for', 'fcolored', 'graphs', 'and', 'prove', 'that', 'fcolored', 'graphs', 'of', 'bounded', 'frankwidth', 'are', 'characterised', 'by', 'a', 'finite', 'list', 'of', 'fcolored', 'graphs', 'to', 'exclude', 'as', 'vertexminors', 'a', 'cubictime', 'algorithm', 'to', 'decide', 'whether', 'a', 'fcolored', 'graph', 'has', 'frankwidth', 'resp', 'fbirankwidth', 'at', 'most', 'k', 'for', 'fixed', 'k', 'is', 'also', 'given', 'graph', 'operations', 'to', 'check', 'msoldefinable', 'properties', 'on', 'fcolored', 'graphs', 'of', 'bounded', 'rankwidth', 'are', 'presented', 'a', 'specialisation', 'of', 'all', 'these', 'notions', 'to', 'directed', 'graphs', 'without', 'edge', 'colors', 'is', 'presented', 'which', 'shows', 'that', 'our', 'results', 'generalise', 'the', 'ones', 'in', 'undirected', 'graphs']] | [-0.14854202038969436, 0.1051426767250445, -0.0571959524094595, 0.07710824788906767, -0.15434390299677242, -0.17944060793396033, 0.03822142475632211, 0.4515255837652244, -0.2888038346001379, -0.3118259143797262, 0.11665020332533563, -0.31010138029321743, -0.13890740786942, 0.11493302996239166, -0.15275022265073535, 0.030897653301282114, 0.0868730990920198, 0.11195579754259954, 0.038579826725802256, -0.23870740084447697, 0.31837963861631646, -0.044148729820000496, 0.13678728355513664, 0.11232070357880765, 0.0841616888566201, -0.0015025121609916526, -0.0041487046281259024, 0.14570930811162128, -0.18322703639374271, 0.08042739813425467, 0.29760902197184885, 0.18633310965699051, 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709.1434 | Bose-Einstein Condensation of Pions | Particle number fluctuations are studied in the ideal pion gas approaching
Bose-Einstein condensation. Two different cases are considered: Bose
condensation of pions at large charge densities $\rho_Q$ and Bose condensation
at large total densities of pions $\rho_{\pi}$. Calculations are done in grand
canonical, canonical and microcanonical ensembles. At high collision energy, in
the samples of events with a fixed number of all pions, $N_{\pi}$, one may
observe a prominent signal. When $N_{\pi}$ increases the scaled variances for
particle number fluctuations of both neutral and charged pions increase
dramatically in the vicinity of the Bose-Einstein condensation line. As an
example, the estimates are presented for $p+p$ collisions at the beam energy of
70 GeV.
| hep-ph | particle number fluctuations are studied in the ideal pion gas approaching boseeinstein condensation two different cases are considered bose condensation of pions at large charge densities rho_q and bose condensation at large total densities of pions rho_pi calculations are done in grand canonical canonical and microcanonical ensembles at high collision energy in the samples of events with a fixed number of all pions n_pi one may observe a prominent signal when n_pi increases the scaled variances for particle number fluctuations of both neutral and charged pions increase dramatically in the vicinity of the boseeinstein condensation line as an example the estimates are presented for pp collisions at the beam energy of 70 gev | [['particle', 'number', 'fluctuations', 'are', 'studied', 'in', 'the', 'ideal', 'pion', 'gas', 'approaching', 'boseeinstein', 'condensation', 'two', 'different', 'cases', 'are', 'considered', 'bose', 'condensation', 'of', 'pions', 'at', 'large', 'charge', 'densities', 'rho_q', 'and', 'bose', 'condensation', 'at', 'large', 'total', 'densities', 'of', 'pions', 'rho_pi', 'calculations', 'are', 'done', 'in', 'grand', 'canonical', 'canonical', 'and', 'microcanonical', 'ensembles', 'at', 'high', 'collision', 'energy', 'in', 'the', 'samples', 'of', 'events', 'with', 'a', 'fixed', 'number', 'of', 'all', 'pions', 'n_pi', 'one', 'may', 'observe', 'a', 'prominent', 'signal', 'when', 'n_pi', 'increases', 'the', 'scaled', 'variances', 'for', 'particle', 'number', 'fluctuations', 'of', 'both', 'neutral', 'and', 'charged', 'pions', 'increase', 'dramatically', 'in', 'the', 'vicinity', 'of', 'the', 'boseeinstein', 'condensation', 'line', 'as', 'an', 'example', 'the', 'estimates', 'are', 'presented', 'for', 'pp', 'collisions', 'at', 'the', 'beam', 'energy', 'of', '70', 'gev']] | [-0.11462193451238697, 0.3267125468506669, -0.032086709646128975, 0.13336608400650785, 0.12311697301075719, -0.1249720346330937, -0.02501112593758225, 0.3083234326728512, -0.13047973632470466, -0.3195425534901102, -0.05486393504800786, -0.3911415623095035, 0.07074101624466413, 0.10190242923697275, 0.07812120714348501, 0.057317759990032795, 0.030075303738343374, 0.0323472446617794, -0.07123649997051508, -0.22098174824511252, 0.3196819377403739, 0.10702674387566811, 0.27593786779181223, 0.10922654353049213, 0.07710496954768237, 0.016527904148122906, 0.020601956280920885, 0.007259678778730398, -0.12850380815005144, -0.016630735072931606, 0.24706145286955664, 0.009906442197188076, 0.20919114270915104, -0.3614110800940379, -0.16697067872052435, 0.18452460211660482, 0.19100932180724392, 0.12429748992312008, -0.0649684902941973, -0.23247681587802627, 0.018514767396047432, -0.18081160987092726, -0.1790169779277217, -0.060751933639506456, 0.019121237107412477, 0.08608326661623025, -0.2814335832454726, 0.13068344339365717, -0.006500004432205341, 0.09297411891767514, -0.04104694617557776, -0.19691709176826794, -0.04333970778151951, 0.007973004049318637, 0.07431065529354114, 0.022523491837051327, 0.24487013511557496, -0.1858968050280932, -0.05030591398543489, 0.3776709118577759, -0.06056439798362388, -0.13385855605974134, 0.1902138666513549, -0.20599723143906917, -0.09467842539620948, 0.26595336734111197, 0.1679872527483653, 0.07761571274048328, -0.132507229057595, 0.00038046971328177417, -0.05665573776922131, 0.12323938511246074, 0.12770359072652934, 0.06097101767658693, 0.2778465680992313, 0.15117560339209715, -0.004928546558974921, 0.11829257699603264, -0.10835158033708556, -0.13780473951926142, -0.32339541680814154, -0.14564579801502087, -0.19589369145811297, 0.0432979587333656, -0.09903669328620941, -0.08063876719947542, 0.29576567169773366, 0.0820930895745338, 0.26144245810048505, 0.010084924943316562, 0.266878332077336, 0.1215229827603655, 0.021790440091286348, 0.07725725275983589, 0.2336963874934884, 0.14804210516302724, 0.16810355029806529, -0.25339504856970657, -0.0728268263700822, 0.0466475793762149] |
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